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4, 7, -1 in descending order.
64, 7, 2, 0, -1, -33
Put 22.978, -1/6, 4, 0.2 in increasing order.
-1/6, 0.2, 4, 22.978
Sort 0, -2, 8, -1/1278.
-2, -1/1278, 0, 8
Sort 0.091, -3.4, -3, 2/11, 2 in descending order.
2, 2/11, 0.091, -3, -3.4
Sort 16, 216, -14 in descending order.
216, 16, -14
Put -0.28, -0.4, 0.06, 2, 1.03, -5 in decreasing order.
2, 1.03, 0.06, -0.28, -0.4, -5
Put -13, 77, -110, 1 in decreasing order.
77, 1, -13, -110
Put -113/37, -28, 3/8 in ascending order.
-28, -113/37, 3/8
Put -15, 21, -2, 54 in decreasing order.
54, 21, -2, -15
Put 3, 4, 14, -4, 1, -7 in ascending order.
-7, -4, 1, 3, 4, 14
Sort 5, -3, -38, -15, -12.
-38, -15, -12, -3, 5
Sort 3/4, 25/2, -1, -4, 4, 1/3 in descending order.
25/2, 4, 3/4, 1/3, -1, -4
Sort 4, 5/11, -1/33, -4/9 in increasing order.
-4/9, -1/33, 5/11, 4
Sort 147, -8, -11, -4, -1 in descending order.
147, -1, -4, -8, -11
Put -2.4, 2/11, 3, -4, -3, 1/8 in ascending order.
-4, -3, -2.4, 1/8, 2/11, 3
Sort -4, 3, 24, -73, -1 in decreasing order.
24, 3, -1, -4, -73
Sort -2/7725, -0.2, -118 in ascending order.
-118, -0.2, -2/7725
Put 5, -5, 490, 6/5 in increasing order.
-5, 6/5, 5, 490
Put 5, -0.04, 8651 in descending order.
8651, 5, -0.04
Sort 2, -49.2, 0.1 in ascending order.
-49.2, 0.1, 2
Sort 429, 29, 12 in descending order.
429, 29, 12
Put -0.46, -2/7, -1/5 in decreasing order.
-1/5, -2/7, -0.46
Sort 6, -7222, -3 in decreasing order.
6, -3, -7222
Sort 163, 7, -59, 1.
-59, 1, 7, 163
Put -1, -2, 0, -2620 in descending order.
0, -1, -2, -2620
Sort -2, 25, 16, -6, -1 in ascending order.
-6, -2, -1, 16, 25
Put -20, 100, -3, -2 in ascending order.
-20, -3, -2, 100
Put 13, 4, -21, 1, -1 in ascending order.
-21, -1, 1, 4, 13
Sort -3, -2, -1, -1306, -4.
-1306, -4, -3, -2, -1
Put 1/6, 5, 11, -4, -103, -5 in ascending order.
-103, -5, -4, 1/6, 5, 11
Put 20, 2, 0.053, 2/13, 0.1 in increasing order.
0.053, 0.1, 2/13, 2, 20
Sort 0.04568, 3/5, 2/5 in decreasing order.
3/5, 2/5, 0.04568
Sort -4993, -3, -5 in decreasing order.
-3, -5, -4993
Sort -925, 1, 141 in decreasing order.
141, 1, -925
Sort 1, -474, 3, 14 in descending order.
14, 3, 1, -474
Sort 5, 10, -3/8, -301.
-301, -3/8, 5, 10
Sort -11, -1/4, -2, -5, 0.0151, 1/3 in decreasing order.
1/3, 0.0151, -1/4, -2, -5, -11
Put 183, -1/3, -0.13, -0.3, 4 in descending order.
183, 4, -0.13, -0.3, -1/3
Put -50/3, 1/4, -3, -1/5 in decreasing order.
1/4, -1/5, -3, -50/3
Sort -1/2, 0.062, -0.1, -33 in ascending order.
-33, -1/2, -0.1, 0.062
Sort 4, 0.094, 1, -9 in increasing order.
-9, 0.094, 1, 4
Put 2, 5, 8 in descending order.
8, 5, 2
Put 11, -100, 9, 1 in increasing order.
-100, 1, 9, 11
Sort -0.1, -8, 5, 0.06, -18, -1.
-18, -8, -1, -0.1, 0.06, 5
Sort 4, -15, -2390.
-2390, -15, 4
Sort 202, -2/5, -1/8, -0.5, 4 in increasing order.
-0.5, -2/5, -1/8, 4, 202
Put 11, -1/3, -9/74, -18, -4/7 in decreasing order.
11, -9/74, -1/3, -4/7, -18
Sort 3, -0.8, -2.2, -2 in decreasing order.
3, -0.8, -2, -2.2
Sort 2, 0, 1, 5, -45, 79.
-45, 0, 1, 2, 5, 79
Sort -5, -3, -562, 0 in ascending order.
-562, -5, -3, 0
Sort 4, 3/2, 2/9, -4998.7, 5, -4.
-4998.7, -4, 2/9, 3/2, 4, 5
Sort -16, 2/9, -1/2, 2, -6, 0.5.
-16, -6, -1/2, 2/9, 0.5, 2
Sort 3.5, 159/4, 0.5 in decreasing order.
159/4, 3.5, 0.5
Sort 3, -2, 0, -0.32103, -0.5 in ascending order.
-2, -0.5, -0.32103, 0, 3
Sort 1/7, -6/7, 14/3, -1.1, 6, 4 in increasing order.
-1.1, -6/7, 1/7, 4, 14/3, 6
Sort -3, 4, -207, -1/3, 0.4 in descending order.
4, 0.4, -1/3, -3, -207
Sort -1, 12, -551 in descending order.
12, -1, -551
Sort -6, 0.03, -335, -0.5.
-335, -6, -0.5, 0.03
Sort 31, 133, -10 in descending order.
133, 31, -10
Sort 19, 2, -1493.
-1493, 2, 19
Sort -2, 3, -12, 21, -6, 11.
-12, -6, -2, 3, 11, 21
Sort -12/13, -2, 8, 3/4, -0.2 in increasing order.
-2, -12/13, -0.2, 3/4, 8
Sort 0.5, 2/17, 1205 in descending order.
1205, 0.5, 2/17
Sort -0.01, 30.28, 2/9, 3/5, 2/13 in decreasing order.
30.28, 3/5, 2/9, 2/13, -0.01
Put -19, 5, -114, -7 in increasing order.
-114, -19, -7, 5
Put 45, -4, 6, 3, 0, -35 in ascending order.
-35, -4, 0, 3, 6, 45
Sort 805/2, 2/17, -12/7.
-12/7, 2/17, 805/2
Sort 0.5, -3, -84, 15, 5.
-84, -3, 0.5, 5, 15
Sort -3/7, 0.0148435, -0.5 in decreasing order.
0.0148435, -3/7, -0.5
Sort 1, 8, -4, -20, 4.
-20, -4, 1, 4, 8
Sort -15/4, 2/7, 1010 in descending order.
1010, 2/7, -15/4
Sort 57, -4, -3, 35, 18 in ascending order.
-4, -3, 18, 35, 57
Sort 2/11, 0.1, -3, 0.5, 2.38 in descending order.
2.38, 0.5, 2/11, 0.1, -3
Put -1, 4, -0.06, 1300, -121 in decreasing order.
1300, 4, -0.06, -1, -121
Sort -8, -3/8, 2/9, 4, -6/11, 8 in decreasing order.
8, 4, 2/9, -3/8, -6/11, -8
Sort -6, -1, 2, 2502 in increasing order.
-6, -1, 2, 2502
Put 3, -8, -121, -261 in descending order.
3, -8, -121, -261
Sort 825, -1/4, 3, 2/5 in descending order.
825, 3, 2/5, -1/4
Put -0.60964, -2/9, 4, -2/13 in ascending order.
-0.60964, -2/9, -2/13, 4
Put 0.3, 4/21, -1, -114.5, 3/8, -5 in decreasing order.
3/8, 0.3, 4/21, -1, -5, -114.5
Sort -17, 3, 6, -14, -3 in decreasing order.
6, 3, -3, -14, -17
Sort -0.007, 9.7, 0.09 in ascending order.
-0.007, 0.09, 9.7
Sort -2, -21, 109, 3 in descending order.
109, 3, -2, -21
Put -15806, 5, 1 in ascending order.
-15806, 1, 5
Sort -96, 1, 9, 2, 4, -3 in decreasing order.
9, 4, 2, 1, -3, -96
Sort 253, 3, -4/3, 1, -4/7, -1/5 in ascending order.
-4/3, -4/7, -1/5, 1, 3, 253
Sort 501, -4/5, 2/25 in descending order.
501, 2/25, -4/5
Sort -5, -5881, -1, 2 in descending order.
2, -1, -5, -5881
Sort -0.1, -21, 2/153.
-21, -0.1, 2/153
Sort 189, 1, 105 in descending order.
189, 105, 1
Sort -1, 19, 64 in descending order.
64, 19, -1
Put 1, 3, 8, -7, -6, -1 in ascending order.
-7, -6, -1, 1, 3, 8
Sort 4, 5, -3, 647, 1, 8.
-3, 1, 4, 5, 8, 647
Sort 6.25, -2, 2/19, 1, 0, 0.4 in ascending order.
-2, 0, 2/19, 0.4, 1, 6.25
Sort 9/2, -2/2539, 0.12 in increasing order.
-2/2539, 0.12, 9/2
Sort -0.08, 3/8, 1, -1, -0.5, -2 in decreasing order.
1, 3/8, -0.08, -0.5, -1, -2
Sort 1, 10, 1828, -2/5 in decreasing order.
1828, 10, 1, -2/5
Sort 1, 3, -2, 0, -7 in increasing order.
-7, -2, 0, 1, 3
Sort -597, -15, -3, 3.
-597, -15, -3, 3
Sort -11, -413, -1, 5, 3 in increasing order.
-413, -11, -1, 3, 5
Sort 5, -4, 32, 1 in descending order.
32, 5, 1, -4
Sort -15, -1, -2/7, 2/5, 0.103.
-15, -1, -2/7, 0.103, 2/5
Sort 3, 920, 10, -10 in descending order.
920, 10, 3, -10
Sort 4, 1, -5, 7, -218 in descending order.
7, 4, 1, -5, -218
Put -56, 4, 11, 5, -30 in descending order.
11, 5, 4, -30, -56
Sort 5, -0.05, -1, -0.06, 2/11, 3.
-1, -0.06, -0.05, 2/11, 3, 5
Put 5, 285, 286 in descending order.
286, 285, 5
Sort -5, 27, 1/39, -1/4 in descending order.
27, 1/39, -1/4, -5
Put 4, -5/4, 0, -3, -33.9 in ascending order.
-33.9, -3, -5/4, 0, 4
Sort 0.379, 4, -186, -3/5 in ascending order.
-186, -3/5, 0.379, 4
Sort -2/881, 16, 4/5 in ascending order.
-2/881, 4/5, 16
Put -3, -5, -148, -16, -1, 5 in decreasing order.
5, -1, -3, -5, -16, -148
Sort -16, 5, 4, 748, -4 in decreasing order.
748, 5, 4, -4, -16
Sort 3, 377, 2, 5, -73 in descending order.
377, 5, 3, 2, -73
Sort -1, 1, 0, -4, -9306 in decreasing order.
1, 0, -1, -4, -9306
Put -137, 3, 28, -86 in increasing order.
-137, -86, 3, 28
Put -1146, 4, 0, -14 in increasing order.
-1146, -14, 0, 4
Sort 287, 0.77, 3, -3 in descending order.
287, 3, 0.77, -3
Sort 18, 0, -2/9, -8 in increasing order.
-8, -2/9, 0, 18
Sort -6, 5, -2, 27.
-6, -2, 5, 27
Sort -3, -69, -0.35 in decreasing order.
-0.35, -3, -69
Put 1, -4, -1, -2, -9, -6 in ascending order.
-9, -6, -4, -2, -1, 1
Put -3, -5, 7949 in increasing order.
-5, -3, 7949
Put -4, -1, 2, 14, 926, 0 in increasing order.
-4, -1, 0, 2, 14, 926
Sort 27, -5, -1/4, -17.6 in increasing order.
-17.6, -5, -1/4, 27
Sort 1, -4, 13, -96, 2.
-96, -4, 1, 2, 13
Sort -7, 12, -42, -2.
-42, -7, -2, 12
Sort -2.5, 48.9, -0.1, -0.05, 0 in descending order.
48.9, 0, -0.05, -0.1, -2.5
Sort 0.1, -2/45, -8, 1, -16, -13.2 in increasing order.
-16, -13.2, -8, -2/45, 0.1, 1
Sort 4, 24, 5, 14, -4 in increasing order.
-4, 4, 5, 14, 24
Sort 4, -2, 6, -174, 10, 3.
-174, -2, 3, 4, 6, 10
Put 37, -0.02, 0, 5, -6 in increasing order.
-6, -0.02, 0, 5, 37
Sort 1/546, 10, 3/4 in descending order.
10, 3/4, 1/546
Put 4, 1, 327, -1, 10, 5 in increasing order.
-1, 1, 4, 5, 10, 327
Sort 5, 1, 0.2, -1/1600 in increasing or
|
{
"pile_set_name": "DM Mathematics"
}
|
4*y for g.
-2
Suppose 5*u - 6*u = -29. Suppose 0 = -5*j + 6 + u. Suppose -j*h + 20 = -2*h. Solve -4*z + 2*x + 12 = -z, -2*z - h*x = -8 for z.
4
Suppose 6 - 4 = -2*y, 4*s - 3 = -y. Let v be (0 + s)/((-2)/(-14)). Solve 1 = -p, 0 = -2*u + 2*p - v*p - 1 for u.
2
Let v = 104 - 104. Suppose -2*p + 3*b + 37 = v, -2*p + 2*b + 19 = -p. Solve 2*t - 4*j + 15 = -13, -2*t + p = 5*j for t.
-4
Suppose -27*w + 74 = -7. Solve 5*m + c - 5*c = -6, -1 = -m + w*c for m.
-2
Let m = 16 + -12. Suppose 0 = -m*d + 12*d. Solve -4*x - 2*y + 14 = d, 0 = -2*x + 2*y - 0*y + 16 for x.
5
Suppose -200*o + 30 = -194*o. Solve -4*s - s - o*r = 30, 3*r = -6 for s.
-4
Let g be 1*-4*(-221)/26. Suppose 0 = 5*x - 59 + g. Solve x*s + 12 = 2*s, y - s - 4 = 0 for y.
0
Let r = 420 + -416. Solve r*n = 3*j - 11, 4*j - 39 + 17 = -2*n for n.
1
Let m = 587 + -579. Solve 5*v = -5*y + 10, -m = -5*y - 3*v - 0 for y.
1
Let c = 39 + -36. Suppose c*j - 4 = j. Solve 3*l - 11 = 4*v - 46, -5*v = -j*l - 35 for l.
-5
Suppose -9*t + 1476 = -27*t. Let d = -79 - t. Let p = -2 - -7. Solve 5*k + p*g - 35 = 0, -k - 5*g = -d*k for k.
5
Suppose 5*o - o - 20 = -5*i, 5*o + 5*i = 25. Suppose 0 = -o*m + 2*m + 6. Solve 3 = -t - 5*k, t = k + m*k + 5 for t.
2
Let j(g) = g**3 + 2*g**2 - 6*g + 10. Let u be j(-4). Solve -p - 19 = u*c - 6*c, -4*p - 32 = -5*c for p.
-3
Let b be 9/2*20/120*4. Solve 5 = -2*a - y, 0 = 5*a - b*y - 2 - 2 for a.
-1
Suppose -33*a + 35*a + 3 = -l, l = -a. Solve 2*d + 5*f - l*f = 0, 3*d - 7 = 4*f for d.
1
Let t(s) be the first derivative of -s**4/4 - 8*s**3/3 - s**2 - s + 2. Let i be t(-8). Let j = 18 - i. Solve -j = -c + a - 0*a, -2*c + 6 = -4*a for c.
3
Suppose 3*s - 5*w = 2*s - 21, -5*s + 10 = -2*w. Solve 0 = -h - 3, s*h = 5*c + h + 16 for c.
-5
Let x be (-15 - 0)*98/(-490). Solve -4*g - 3*t - 18 = 7, 3*g + 3 = x*t for g.
-4
Let v be 6/(-4) - (-30)/(-4). Let d = v + 10. Let c be (-32)/(-14) + (-2)/7. Solve -x - 2*s = -0*s, -c*x - d = 3*s for x.
-2
Let v(l) = l**3 - 11*l**2 - 11*l - 6. Let a be v(12). Suppose -2*x = -3*x + a*x. Solve x*z - 2*z = -o - 1, 3 = -4*z + 3*o for z.
3
Let d(c) = -5*c + 127. Let o be d(25). Solve o*l - 4*l + 15 = 5*k, -2*l + k + 9 = 0 for l.
5
Let q = 657 - 653. Solve q*t + 3*z - 4*z + 13 = 0, -2*t - 10 = -4*z for t.
-3
Suppose 2*v = 6*v - 348. Let d be v/18 - 2/(-12). Solve 15 = d*z - 5*m, -11 = -0*z - 4*z + 5*m for z.
4
Let p = 63 - -65. Let d = p - 126. Solve -7 = d*a + 3*u + 2*u, 15 = -5*u for a.
4
Let m be -3 + (-54)/(8 - 17). Solve 0 = 3*k - 15, -m*k + 4 = -4*u - 19 for u.
-2
Suppose 4*x + 43 = 3*k, -6*x + x - 20 = 0. Suppose -2*h = 5*t - k, -3*h + 3 = -5*t + 2. Solve 3*b - 5*z + 10 = 0, -3*b - 2*z + 3*z - h = 0 for b.
0
Suppose u - 7 = -j, -4*j + 12 - 48 = -4*u. Solve -2*c - 2*a - 6 = -u, c + 2*a - 6 = 0 for c.
-4
Suppose 2*d + 66 = -3*y - d, 4*d = 20. Let u be y/(-6)*(-1 - 13/(-9)). Solve 2*z + i - 5 = -0*z, 0 = 3*z + u*i - 5 for z.
5
Let t be 5 + (-3 - 8 - -7). Solve 10 = -4*w - 3*b, 3*b + 1 = -2*w - t for w.
-4
Let u(r) = -4*r - 11*r + 1 + 2*r**2 + 13*r. Let b be u(1). Suppose 0 = -4*t + 5 + 3. Solve b = t*p - w - 4, -p - 4*w - 2 = 0 for p.
2
Let d(t) = -2*t**2 - 30*t + 87. Let h be d(-17). Suppose -8 = 4*l - 20. Solve 0 = -3*u - l*j - h + 4, 4*u + 15 = j for u.
-4
Let t(v) = 0 - 18*v + 11 + 19*v + 0. Let p be t(-6). Solve -4*s = -2*s + 6, -4*r - p*s = 11 for r.
1
Let u = -25 + 57. Let n be 16/u + 3/2. Solve t = n, -2*l + t = 2*l + 6 for l.
-1
Suppose -11*v = -4*v - 21. Solve 0 = v*g + 2*g - 2*o - 22, -2*o + 2 = g for g.
4
Suppose c + 7 = 5*k, -2*k - 3 = 2*c - 1. Let h be -3 - (-3)/c*-14. Solve -3*l - h = 4*r, 2*r + 14 = -l - 2*r for l.
-2
Let u(w) = w**3 + 2*w**2 + 2*w + 17. Suppose 3*z = 3*z + 7*z. Let d be u(z). Solve -k = 4*l + d, 3*k - 10 = 3*l + 14 for k.
3
Suppose 1672 = 3*v + 1636. Solve -3*j - 35 = -0*j - 5*g, 2*g + v = -4*j for j.
-5
Let u = -1 - -11. Let f = 5 - 19. Let n = 19 + f. Solve -n*k + 0*k + 10 = -2*d, -d - 5*k = -u for d.
0
Let c be (-48)/(-18) + (-9)/((-27)/4). Solve -5*b + b - 9 = i, 0 = 2*i - c*b - 18 for i.
3
Let d = 1240 + -1231. Solve -4*z + d + 2 = -3*x, -5*z = -5*x - 10 for x.
3
Let l = 237 + -130. Suppose -3*q = 4*c - 345, 0 = q - 0*q + 4*c - l. Let r be 4/(-6) + q/21. Solve 5*t = 3*d + 21, t - 15 = r*d - 2 for t.
3
Let r be -1*(-1 - 3 - -9). Let y = 8 + r. Let v = -3 - -13. Solve -5*j + j = -5*i + v, -j = -y*i - 1 for i.
-2
Let z = -488 + 491. Solve 5*g - 2 = -2*w, w + 4 = z*g + 5*w for g.
0
Let z be 1/(-4)*(2 - 26). Let t = 1 + 5. Solve 0*q + z = 2*q, 3*l + t = -q for l.
-3
Let r(g) = 3*g + 78. Let o be r(-26). Solve o = 5*u + 3*w + 13, -u + 0 = -w + 1 for u.
-2
Let k = -28 - -30. Let c be 21/(-14)*(-16)/6. Solve 4*u - k*n - 9 = 3, -2*u + c*n = -6 for u.
3
Suppose 10*q = 20 + 30. Solve -q*v - 5*y = -10, y = v - 4*v - 4 for v.
-3
Let o be 0 + (6/3 - -1). Solve 5*y - 3*d - 3 = o, 3*y = -d - 2 for y.
0
Suppose 3*m - 8*m = -2*i + 24, 5*m - 60 = -5*i. Suppose -5*p - 25 = 0, 3*w + 2 = -4*p - i. Solve 0 = 4*o + 5*q + w, -3*o - 6*q + 4*q = -2 for o.
2
Suppose n = -2*n + 9. Let u be (-4)/6*(-11 + 2). Let g be 20/15 + 4/u. Solve 10 + g = -n*m + c, m - 2*c - 1 = 0 for m.
-5
Suppose -321*y = -328*y + 147. Solve k - 7 = 2*h, -k = 5*h - 0*h + y for k.
-1
Let w(g) = 2*g**2 - g - 1. Let l be 8/16*(4 + 0). Let h be w(l). Let q = h + 0. Solve 3*f = q*o, 2*o + 3*f + 21 = -0*o for o.
-3
Suppose 3*y = 6*y + 72. Let i = y + 26. Solve -3*p + i*p + 5 = 2*g, 0 = -4*g + 2*p + 30 for g.
5
Let n be -7*((-10)/16 + (-21)/56). Solve -w = 5*s + 20, 2*w - 3*w = -4*s - n for w.
-5
Let v(t) = -6*t - 21. Let q be v(-3). Let y be q + (8 + 0 - 0). Solve j = 6*j - 3*g - 2, 4*j - y*g = -1 for j.
1
Suppose b = 4*b. Suppose b = -5*k + o - 6, 0 = -2*k - 0*k + 2*o - 4. Let p be -2 - (k - (0 + 1)). Solve 2*j + 6 = 5*s, -3*s + 8*s + 4*j + 12 = p for s.
0
Let r(u) = 5*u**2 + 65*u + 4. Let y be r(-13). Solve -4*m - 14 = -5*q - 10, -y*q = -2*m - 2 for m.
-1
Suppose -109*q + 110*q - 5 = 0. Suppose 3*d + 2*w = 5 + 1, -q*d + 5*w = -10. Solve -d*l + 15 = l + 2*i, 0 = -l + 2*i - 3 for l.
3
Let d(r) = -r**2 + 0*r + 7 + 15 - 3 - 14*r. Let k be d(-15). Solve 4*c - k*f = 28, 0*c + c - 2*f - 9 = 0 for c.
5
Let v = 7 - -46. Let i = v - 33. Suppose -3*d + i = 11. Solve -3*m - 2*m = -d*c + 20, 2*m + 17 = 3*c for m.
-1
Let u be (0 - 5)/(-3 + (-56)/(-20)). Solve 5*n + 23 = 2*a, 2*n - 4*a + u = -n for n.
-3
Let u(s) = -s**2 - 7*s + 10. Let t be u(-12). Let k = -47 - t. Solve -4*w + k*z + 23 - 3 = 0, -w = 4*z + 14 for w.
2
Let b = 14952 + -14952. Let i be (0/(4/(-2)))/(-1). Solve 2*q + i*f + 11 = 3*f, -2*q + 2*f - 10 = b for q.
-4
Suppose 0 = -57*a + a + 168. Solve u - 7 = -5*q, -q + 6 = u + a for q.
1
Let g = 8 + -4. Let k be 1 + (-36 - g) + -1. Let i be 6/15 - k/25. Solve t - 4 = 3*m, i*t + 3*m = 2*m - 6 for t.
-2
Suppose 0 = -8*r - 40 + 56. Solve 5*l + 3 = 4*k, -r*k + 0*k = 4*l + 18 for k.
-3
Let z = 36 + -32. Suppose 6*o - 4 = z*o. Solve 0 = o*q + i + i - 12, 2*i = 3*q - 8 for q.
4
Let g(y) = -y**3 + 18*y**2 - 18*y + 21. Let s be g(17). Solve 0 = -i - 0 - 4, -4*i - 24 = s*x for x.
-2
Suppose 71 - 110 = -13*w. Solve -x - 4*v - v = -28, w*x - 2*v = -1 for x.
3
Let g = -38 + 42. Suppose 2*n + 13 = 4*c - c, 0 = 4*c + n - 10. Suppose c*a = -a. Solve -i - x - 4 = 0, -15 = 3*i + g*x - a for i.
-1
Let s(c) = -2*c**2 + 2*c + 3. Let m be s(0). Suppose 13 = h + m*r, -6*h + 32 = -h + 4*r. Solve -k = -2*z + 1, -3*z = 5*k - k + h for z.
0
Let m = -727 - -732. Solve -m*s + a - 9 = 0, 3*a = -a + 16 for s.
-1
Let j be (9 - 1)/(10/(-35)). Let o = 31 + j. Solve -h + 2*h - 11 = -o*l, -4*l + 33 = 5*h for l.
2
Let l be (-2)/4*10 + 10. Solve -l*n = h - 5, 5*n + 4*h = 4*n + 1 for n.
1
Let q(o) be the third derivative of -o**6/40 - o**5/20 - o**4/24 + o**3/2 + 3*o**2. Let a = -7 - -5. Let s be q(a). Solve 2*c = 6, -3*x + 1 + s = 5*c for x.
1
Let g be 40/(-16)*(-16)/60*12. Solve -g = -2*v + 3*t, 16*t + 1 = 5*v + 18*t for v.
1
Suppose -20 = 4*i, -2*i = -q - 4*q + 85. Let d(j) = -j + 8 - 367*j**2 - 14*j + 368*j**2. Let k be d(q). Solve 3*w = 4*l + k, 2*w - 3*l = -0*w + 7 for w.
-4
Suppose 5*m = -5, 3*r - 2 = 2*r - 2*m. Solve 0 = 2*o - 2*f + 4, 4*o - r*f = -3*f - 17 for o.
-5
Suppose -3*h = -3*z + 3, -4*z + h + 0 = -1. Let v be 2/(1 + z/(-1)). Solve -4*m - 4 = -4*f + 4, v*m - 21 = -3*f for f.
5
Suppose 59 - 84 = -5
|
{
"pile_set_name": "DM Mathematics"
}
|
mal places?
0.00028
Round -92985.7 to the nearest 1000.
-93000
What is 0.002260675 rounded to five decimal places?
0.00226
Round 247158000 to the nearest 1000000.
247000000
Round 124.960011 to two decimal places.
124.96
Round -0.09736186 to 2 decimal places.
-0.1
What is -0.00070657 rounded to 5 decimal places?
-0.00071
What is 0.07246268 rounded to two dps?
0.07
Round -4085.501 to the nearest 10.
-4090
Round -0.00009994047 to 7 dps.
-0.0000999
Round -13.304679 to one dp.
-13.3
What is -5461719.7 rounded to the nearest 1000?
-5462000
Round -660897000 to the nearest one million.
-661000000
Round -0.00343531 to 5 decimal places.
-0.00344
Round 933.068 to the nearest 10.
930
What is 1557.218 rounded to the nearest ten?
1560
Round 196481.27 to the nearest 100.
196500
What is -309355600 rounded to the nearest 100000?
-309400000
What is 13.417176 rounded to one dp?
13.4
What is -65010940 rounded to the nearest 1000000?
-65000000
What is 626.572 rounded to the nearest integer?
627
Round 185.666725 to the nearest 10.
190
Round -1.662881 to two decimal places.
-1.66
Round -0.0662018 to 3 dps.
-0.066
What is -8.7027 rounded to two dps?
-8.7
What is -979200 rounded to the nearest one hundred thousand?
-1000000
What is -66.2625 rounded to 1 dp?
-66.3
What is 0.3781568 rounded to 4 dps?
0.3782
What is 0.0007061678 rounded to five decimal places?
0.00071
Round -1.9758902 to the nearest integer.
-2
Round 355920.7 to the nearest 100.
355900
What is 2.09214 rounded to 2 dps?
2.09
Round 0.0000320695 to 7 dps.
0.0000321
Round -0.00632793 to 3 dps.
-0.006
What is -0.000464959 rounded to six decimal places?
-0.000465
Round -77.8322 to 0 decimal places.
-78
Round -16862.63 to the nearest one thousand.
-17000
What is 27251532 rounded to the nearest 100000?
27300000
What is -6880.763 rounded to the nearest 10?
-6880
What is 14.252861 rounded to two dps?
14.25
What is -15309180 rounded to the nearest 10000?
-15310000
Round 5225.05 to the nearest one thousand.
5000
Round 0.0000583019 to 6 decimal places.
0.000058
What is -0.0000556394 rounded to seven decimal places?
-0.0000556
What is 677.2303 rounded to the nearest 10?
680
Round -2.045233 to three decimal places.
-2.045
What is 0.000000726701 rounded to seven decimal places?
0.0000007
Round -4529190 to the nearest one million.
-5000000
What is 0.11479877 rounded to two decimal places?
0.11
What is -2065827.8 rounded to the nearest 1000?
-2066000
Round 0.000000276902 to 7 dps.
0.0000003
Round -0.16956835 to four dps.
-0.1696
What is -434168.9 rounded to the nearest 100000?
-400000
What is 68289.1 rounded to the nearest ten thousand?
70000
Round -3515534.5 to the nearest 10000.
-3520000
Round -1926122 to the nearest ten thousand.
-1930000
Round 0.034623825 to 4 decimal places.
0.0346
What is -0.02146203 rounded to 3 dps?
-0.021
What is -8.39743 rounded to one dp?
-8.4
What is 0.369119 rounded to two dps?
0.37
Round -34.4183 to 1 decimal place.
-34.4
Round -153.9383 to the nearest 10.
-150
What is -114.9767 rounded to the nearest 100?
-100
What is 1319.12 rounded to the nearest 10?
1320
What is -0.0069802 rounded to 3 decimal places?
-0.007
Round 20313800 to the nearest 100000.
20300000
What is -365125000 rounded to the nearest one million?
-365000000
What is 248360200 rounded to the nearest 1000000?
248000000
What is 145.494 rounded to zero decimal places?
145
Round -41.16894 to one decimal place.
-41.2
Round -0.00740588 to four decimal places.
-0.0074
What is -0.27320704 rounded to three dps?
-0.273
Round -1633.51 to the nearest 100.
-1600
Round -74.0061 to 1 decimal place.
-74
Round 5.73888 to zero dps.
6
What is -0.0000009563641 rounded to seven decimal places?
-0.000001
Round -0.27597387 to four dps.
-0.276
What is 0.1946 rounded to 2 decimal places?
0.19
Round -0.000005559981 to 6 decimal places.
-0.000006
What is 304738 rounded to the nearest ten thousand?
300000
What is -0.31930455 rounded to 2 decimal places?
-0.32
What is 0.04009874 rounded to four decimal places?
0.0401
What is -70174860 rounded to the nearest 10000?
-70170000
What is 7269000 rounded to the nearest 1000000?
7000000
Round -5465868 to the nearest one thousand.
-5466000
Round 120.3773 to one dp.
120.4
Round 0.000008626363 to 6 decimal places.
0.000009
What is 0.05603189 rounded to 5 dps?
0.05603
What is -0.00001395505 rounded to six decimal places?
-0.000014
Round -0.0001672336 to 5 decimal places.
-0.00017
Round -4124.9567 to the nearest 100.
-4100
What is -897141.9 rounded to the nearest 100000?
-900000
Round -21.42668 to zero decimal places.
-21
What is 1.0112447 rounded to 2 decimal places?
1.01
What is 802499 rounded to the nearest one hundred thousand?
800000
Round -0.004628098 to 6 dps.
-0.004628
What is -0.0000060924 rounded to seven dps?
-0.0000061
Round 60.8 to the nearest 1000.
0
What is -6419920 rounded to the nearest ten thousand?
-6420000
What is 0.00000030142 rounded to 6 decimal places?
0
What is -0.387521 rounded to three dps?
-0.388
Round 0.000070873 to 7 dps.
0.0000709
What is -0.00123322 rounded to six decimal places?
-0.001233
What is 0.0000540332 rounded to 6 decimal places?
0.000054
Round 68703342 to the nearest 100000.
68700000
What is 4014407 rounded to the nearest 1000?
4014000
Round -1.0338615 to one dp.
-1
Round -93.70309 to two decimal places.
-93.7
Round 0.2238606 to 2 dps.
0.22
Round 151100.99 to the nearest ten.
151100
What is 337033.3 rounded to the nearest 10000?
340000
Round -1.43999 to two decimal places.
-1.44
What is 0.00002573622 rounded to five decimal places?
0.00003
Round 21464076 to the nearest 100000.
21500000
What is -422.149 rounded to the nearest one hundred?
-400
What is -0.00000598375 rounded to 7 dps?
-0.000006
Round -0.00636301 to three dps.
-0.006
What is -0.08524298 rounded to 5 dps?
-0.08524
Round 0.209702 to 1 decimal place.
0.2
What is 0.00003798274 rounded to 7 dps?
0.000038
Round -0.0327878 to 3 decimal places.
-0.033
What is 0.050302316 rounded to 2 dps?
0.05
What is -842363300 rounded to the nearest 100000?
-842400000
What is 255.5783 rounded to the nearest 100?
300
Round -0.00004027319 to 5 dps.
-0.00004
Round 0.0311226 to 4 decimal places.
0.0311
What is 205516.1 rounded to the nearest ten thousand?
210000
What is -0.00000841461 rounded to six decimal places?
-0.000008
Round 137.345 to 0 dps.
137
Round -37022410 to the nearest ten thousand.
-37020000
What is 15229940 rounded to the nearest 1000000?
15000000
Round -0.157656 to 3 dps.
-0.158
What is -63368.2 rounded to the nearest 100?
-63400
Round -17249.8 to the nearest 100.
-17200
What is 3949690000 rounded to the nearest one million?
3950000000
Round -9.9412965 to zero dps.
-10
What is 290707.2 rounded to the nearest one thousand?
291000
Round 0.00227133 to five decimal places.
0.00227
What is 212880.6 rounded to the nearest ten thousand?
210000
What is -967848.3 rounded to the nearest 1000?
-968000
What is -0.000001649261 rounded to seven decimal places?
-0.0000016
What is -1034796400 rounded to the nearest one hundred thousand?
-1034800000
Round 76.566454 to two decimal places.
76.57
Round -0.000000353435 to 6 dps.
0
What is 0.3239606 rounded to two dps?
0.32
Round -419591500 to the nearest one million.
-420000000
What is -432.406 rounded to the nearest integer?
-432
Round -483071 to the nearest one hundred.
-483100
Round 0.686469 to one decimal place.
0.7
Round 238.596 to the nearest 10.
240
Round -416.368 to the nearest one hundred.
-400
What is 0.000000180175 rounded to 7 decimal places?
0.0000002
Round -0.003296543 to 6 dps.
-0.003297
Round 20218.402 to the nearest 100.
20200
What is -0.000001236754 rounded to 6 dps?
-0.000001
Round 2865.99 to the nearest one thousand.
3000
Round -0.0643233 to 3 dps.
-0.064
Round -1695380 to the nearest ten thousand.
-1700000
Round -0.0065347037 to 5 decimal places.
-0.00653
Round -98512.8 to the nearest 1000.
-99000
Round -14189878 to the nearest ten thousand.
-14190000
What is -134.1444 rounded to the nearest ten?
-130
What is 0.0105698 rounded to 4 dps?
0.0106
What is 0.0312576 rounded to 2 dps?
0.03
What is -32.3652 rounded to two decimal places?
-32.37
What is 0.00002036961 rounded to 7 decimal places?
0.0000204
Round 0.01457724 to four dps.
0.0146
Round 7914530 to the nearest 100000
|
{
"pile_set_name": "DM Mathematics"
}
|
llest value? (a) -0.2 (b) -1.05 (c) 58/3
a
Which is the third biggest value? (a) -24 (b) 0.3 (c) -3 (d) -5
d
What is the third biggest value in 0.7, 1/291, 1/3, 0.3?
0.3
Which is the second biggest value? (a) -3 (b) -2/7 (c) 0 (d) -0.4
b
What is the third biggest value in 2, 0, -2?
-2
Which is the second biggest value? (a) -0.1 (b) -5 (c) 1.6 (d) -3
a
Which is the third smallest value? (a) -19/3 (b) 1/4 (c) 2/9
b
What is the fourth biggest value in 2, -0.06, -161, -0.05?
-161
Which is the biggest value? (a) -1/4 (b) 144 (c) -2
b
What is the smallest value in -0.06, 5, 0.3, 45?
-0.06
What is the second smallest value in -6, -1, 1?
-1
Which is the fourth smallest value? (a) -0.9 (b) -1/4 (c) -2/5 (d) -1/5 (e) -0.147
d
Which is the third biggest value? (a) 2/17 (b) 5 (c) -216/5
c
Which is the smallest value? (a) 8 (b) 1/9 (c) 2/21 (d) -3
d
What is the smallest value in 1, 0.3, -1, -34?
-34
What is the fourth biggest value in -2/7, -0.02, 2, -3?
-3
What is the biggest value in -11/5, -1/4, 0.5?
0.5
Which is the third smallest value? (a) -4 (b) 3/7 (c) -5 (d) -1021
a
Which is the third biggest value? (a) 1/4 (b) 10 (c) -62 (d) -2
d
What is the fourth biggest value in 0.2, 2.45, 0.5, -0.3?
-0.3
What is the third smallest value in -0.2, -13.4, -0.1?
-0.1
What is the second smallest value in 0.3, 1, 0.21, 0.031?
0.21
Which is the fourth biggest value? (a) 33/2 (b) 3/8 (c) 2 (d) -2 (e) 3
b
What is the second smallest value in 297, 1/4, -1/7?
1/4
What is the third biggest value in -1/4, 3, 150, -1.5?
-1/4
What is the third biggest value in -7, -8, -2/5, 4?
-7
What is the third smallest value in 0.3, 1, 0.05?
1
What is the smallest value in 1, -0.5, -0.2?
-0.5
What is the fourth smallest value in -1551, 1/3, 3/7, 2/15?
3/7
What is the third smallest value in 0.07, 10, -2, 2/7?
2/7
What is the third biggest value in 6.4, 0.4, 6?
0.4
What is the second biggest value in 0.04, 1/6, 0.16, 1/5?
1/6
What is the fourth smallest value in -3, 0, 2/13, 2?
2
Which is the second smallest value? (a) 0.1 (b) -8 (c) -154 (d) 1/8
b
What is the fifth biggest value in -0.4, 0.3, 3, -0.07, -1/6?
-0.4
What is the fourth smallest value in 54/25, 0.5, 0, 0.2?
54/25
Which is the fourth biggest value? (a) -1/6 (b) 3/4 (c) 0.3 (d) -7
d
What is the biggest value in 0.5, -3, 1/6, 2/3?
2/3
Which is the third smallest value? (a) 13 (b) 0 (c) -2
a
What is the biggest value in -0.2, -1, 0.51?
0.51
What is the third smallest value in 4, -1, -0.63?
4
Which is the third biggest value? (a) -1 (b) -1/45 (c) -7/5
c
What is the fifth smallest value in -5, -2, -0.3, 5, -6/13?
5
Which is the third biggest value? (a) -3 (b) 2/9 (c) 4 (d) 3/2
b
What is the second smallest value in -0.4, 1, 166.8?
1
What is the third biggest value in 1/6, -0.09, 0.2, 0.4?
1/6
Which is the biggest value? (a) 1/7 (b) -2/13 (c) -1/4 (d) 4
d
What is the biggest value in -3, -4, -1/7, -35, 4?
4
Which is the second biggest value? (a) -1/10 (b) -6 (c) -11.5
b
Which is the second smallest value? (a) -2 (b) -0.11 (c) 4 (d) -3 (e) 2/9
a
What is the third biggest value in -3/8, -7, 6, -4, -2?
-2
What is the third biggest value in 1/9, -7, -15?
-15
What is the third biggest value in -15, 4, -0.01?
-15
What is the smallest value in -3, -0.1, 2/19, 609?
-3
Which is the smallest value? (a) 1/5 (b) 5 (c) -1.9 (d) 1.3
c
Which is the fourth smallest value? (a) 0.1 (b) 3/7 (c) 2/9 (d) -0.15
b
What is the third biggest value in -1/7, -41, 0.1?
-41
What is the second biggest value in -1.9, 3, -17?
-1.9
Which is the smallest value? (a) -5 (b) -1 (c) -1/3 (d) 3
a
Which is the third smallest value? (a) -8/7 (b) 0.5 (c) -0.05 (d) 2/11
d
Which is the second smallest value? (a) -348 (b) -5 (c) -0.5 (d) -4
b
Which is the biggest value? (a) 4 (b) -48 (c) -2/3 (d) 0
a
What is the third biggest value in 0.2, 0.22, 2, -0.03, 0.5?
0.22
What is the smallest value in 4, 1, -26.9, 0?
-26.9
What is the second biggest value in 0.4, -4, 2/11, -21/2?
2/11
Which is the biggest value? (a) -5 (b) -8 (c) 0.6 (d) 2
d
Which is the smallest value? (a) 20 (b) -0.1 (c) 88
b
What is the second biggest value in -1, -46, -4, -2?
-2
What is the second biggest value in 5, 3/2, 0.3, -66, -4/3?
3/2
What is the smallest value in 2/7, 105, 4/7?
2/7
What is the smallest value in 0.254, -4, -5?
-5
Which is the second biggest value? (a) -7 (b) -2 (c) 2/93
b
What is the biggest value in -3/8, -1/18, 2?
2
Which is the second smallest value? (a) -0.3 (b) 1 (c) 0.2 (d) -0.8
a
What is the second smallest value in 0.55, -1/3, -8, 0?
-1/3
What is the second smallest value in -2, -2/9, 3, 2?
-2/9
Which is the third smallest value? (a) 3 (b) -1 (c) 2/163
a
Which is the second biggest value? (a) -0.2 (b) 0.4 (c) -1/8 (d) 0.312
d
What is the second smallest value in 2/155, 3, -4, -1, -2/9?
-1
What is the smallest value in -2, -4, 2/3, -5, 46?
-5
Which is the biggest value? (a) 4/5 (b) 4 (c) 0.159
b
What is the third biggest value in 5, -155/4, -4?
-155/4
What is the fourth smallest value in -0.035, -2/9, 7, -3?
7
Which is the smallest value? (a) -2/3 (b) 95 (c) 4
a
What is the fifth biggest value in 2, -5, 0.07, 4, -0.1?
-5
What is the smallest value in 52, -1, -2?
-2
Which is the third biggest value? (a) -9 (b) -2/3 (c) 1 (d) -0.1
b
Which is the third biggest value? (a) 2/15 (b) -1/198 (c) 0 (d) -3 (e) -0.06
b
What is the third smallest value in 17, -0.253, 3/5?
17
What is the biggest value in -0.4, -1/5, 930, -2/3?
930
Which is the third biggest value? (a) 1/3 (b) -1/5 (c) 0.61
b
What is the third biggest value in -4/3, -7, -1/3, -1?
-4/3
What is the third biggest value in 0.1, -61, 2/15, -3, 6?
0.1
Which is the third smallest value? (a) -23 (b) 0.1 (c) -1
b
What is the third smallest value in -0.5, -2/5, 2, 0.33?
0.33
What is the third smallest value in 7, -0.01, 2/17?
7
Which is the biggest value? (a) -1.5 (b) 3/20 (c) 0 (d) 4/5
d
What is the fourth smallest value in -0.1, -1/8, 0.09, -3?
0.09
Which is the second biggest value? (a) 0 (b) 4 (c) 3 (d) -1/4 (e) 0.82
c
Which is the biggest value? (a) -3/5 (b) -0.3 (c) 98
c
What is the biggest value in 70, -1, -4/3?
70
Which is the second smallest value? (a) 82 (b) -0.1 (c) -6
b
What is the smallest value in 4, -1/5, -7, -2/15?
-7
What is the biggest value in -0.04, -0.4, -0.6?
-0.04
Which is the third smallest value? (a) -5 (b) 2/5 (c) 1/4 (d) -1/5
c
What is the second smallest value in -2, -10/17, -0.4, -3, 1?
-2
What is the third biggest value in 0.033, -4, 1/10?
-4
Which is the biggest value? (a) 1/4 (b) 3.9 (c) -1/8
b
Which is the third biggest value? (a) 0.1 (b) 15/4 (c) -0.4
c
Which is the fifth smallest value? (a) -0.1 (b) -3 (c) -0.08 (d) 3 (e) -3/8
d
Which is the biggest value? (a) -6 (b) 6 (c) -3/8
b
What is the biggest value in 2.72, 4, -5?
4
What is the smallest value in -4, -5, 2?
-5
Which is the fourth smallest value? (a) -5/3 (b) 0.7 (c) -4 (d) -1
b
Which is the second biggest value? (a) -0.3 (b) -13/4 (c) -7
b
Which is the third biggest value? (a) 0.1 (b) -0.11 (c) 1/2
b
Which is the fourth biggest value? (a) 16 (b) 1 (c) -1/6 (d) 0.08
c
What is the third smallest value in 3, 1, 0.019, 0.5?
1
What is the smallest value in 2/233, -1, 4?
-1
Which is the fourth biggest value? (a) -101 (b) 2 (c) 0.3 (d) 13
a
Which is the third smallest value? (a) -0.09 (b) -0.2 (c) -2/43
c
What is the third smallest value in 2/157, -2, 0.8?
0.8
Which is the smallest value? (a) 22 (b) 0.5 (c) 0 (d) -2/9
d
What is the third smallest value in 1/7, -5, 0.3, 5?
0.3
What is the third smallest value in 0.5, -3/19, -0.1, -4?
-0.1
Which is the third biggest value? (a) -1/9 (b) 1.1 (c) 4 (d) -1 (e) 1
e
What is the second biggest value in -0.14, 2/3, 2/7?
2/7
What is the third biggest value in -13, -2/5, 2.5, 2/7, 2?
2/7
What is the third biggest value in -4/9, 62, 0.3, 2?
0.3
Which is the third smallest value? (a) -2 (b) 1041/5 (c) 1/3
b
What is the third biggest value in 0.5, 0.036, -3, 1.9?
0.036
Which is the second biggest value? (a) 6 (b) -6/5 (c) -1/6 (d) -5
c
What is the biggest value in -0.3, -1/14, 0.1?
0.1
What is the smallest
|
{
"pile_set_name": "DM Mathematics"
}
|
d -0.000001370334793 to 6 dps.
-0.000001
What is -57.1314748 rounded to 0 decimal places?
-57
Round 3590.18327 to the nearest one thousand.
4000
What is 32.259923 rounded to 1 dp?
32.3
Round -909821.613 to the nearest ten thousand.
-910000
Round 0.06830964278 to 4 decimal places.
0.0683
Round 0.015910651 to two dps.
0.02
Round 28.6717608 to 2 decimal places.
28.67
Round -0.001261882249 to 4 dps.
-0.0013
What is 0.00000740641572 rounded to six decimal places?
0.000007
What is -1578.6691 rounded to the nearest 10?
-1580
What is -0.082287308 rounded to 2 dps?
-0.08
What is -0.00025746745 rounded to seven dps?
-0.0002575
Round -346.449097 to 1 dp.
-346.4
What is -119582892.87 rounded to the nearest one million?
-120000000
What is 117.573457 rounded to 0 dps?
118
Round -71163290 to the nearest 100000.
-71200000
Round 1239273127 to the nearest ten thousand.
1239270000
What is 10820.29436 rounded to zero decimal places?
10820
Round -0.35618439 to 2 decimal places.
-0.36
What is 0.008251645105 rounded to seven dps?
0.0082516
Round -27855266400 to the nearest one million.
-27855000000
Round 9177037.19 to the nearest one million.
9000000
What is -0.0002318138782 rounded to seven decimal places?
-0.0002318
Round -3422.24846 to the nearest integer.
-3422
What is -799.73147 rounded to 1 decimal place?
-799.7
Round -45409.98 to the nearest one thousand.
-45000
Round 0.000306671614 to 5 dps.
0.00031
What is 0.00400587994 rounded to 5 dps?
0.00401
What is 0.00661387948 rounded to six decimal places?
0.006614
Round -0.11472846301 to six decimal places.
-0.114728
What is 0.0000909306222 rounded to seven dps?
0.0000909
Round -66483518 to the nearest 1000000.
-66000000
What is 246.10136 rounded to 1 decimal place?
246.1
What is -0.003797488659 rounded to 3 decimal places?
-0.004
What is -20.037116 rounded to the nearest integer?
-20
What is -0.00038893919 rounded to seven decimal places?
-0.0003889
Round -0.00056583395 to four dps.
-0.0006
Round 1490.869313 to the nearest one hundred.
1500
What is 1407075000.6 rounded to the nearest 100000?
1407100000
What is 49106.1878 rounded to the nearest 10?
49110
What is -30058.49 rounded to the nearest 100?
-30100
Round -1.36862763 to three decimal places.
-1.369
Round 0.00000068531002 to seven decimal places.
0.0000007
Round 246799.1324 to the nearest ten thousand.
250000
Round -123353521 to the nearest ten thousand.
-123350000
Round -15761.77239 to the nearest one hundred.
-15800
Round 17.8106943 to the nearest integer.
18
What is -1606769.611 rounded to the nearest 10?
-1606770
Round -0.000043030587 to seven dps.
-0.000043
What is -6837225.4 rounded to the nearest 100000?
-6800000
What is 7468.5116 rounded to the nearest 10?
7470
Round 13.51348258 to 2 dps.
13.51
What is -833736.201 rounded to the nearest one thousand?
-834000
What is -4902919.671 rounded to the nearest 100000?
-4900000
What is 32493654 rounded to the nearest one hundred thousand?
32500000
What is 19762.622248 rounded to the nearest 100?
19800
What is -7559.799228 rounded to zero dps?
-7560
What is -8486.2661 rounded to the nearest integer?
-8486
Round -0.1482702049 to 1 decimal place.
-0.1
Round 0.000264351125 to five decimal places.
0.00026
What is -392673864 rounded to the nearest ten thousand?
-392670000
Round 1772.083 to the nearest integer.
1772
What is -1.8495044 rounded to 1 decimal place?
-1.8
Round 302757.0451 to the nearest 10000.
300000
What is 0.00143946832 rounded to seven dps?
0.0014395
Round -854.43247 to the nearest ten.
-850
Round 33.9591699 to two dps.
33.96
Round 69.8010915 to the nearest integer.
70
What is 3861506.615 rounded to the nearest one hundred thousand?
3900000
Round 36.52288015 to the nearest ten.
40
What is 0.00119503109 rounded to 5 dps?
0.0012
Round -0.00066562586 to 7 dps.
-0.0006656
Round 55159.17937 to the nearest 10.
55160
What is 0.756982411 rounded to two decimal places?
0.76
What is 1.077321523 rounded to 3 decimal places?
1.077
What is 74172.2843 rounded to the nearest integer?
74172
What is 5502817.158 rounded to the nearest one million?
6000000
What is 0.093005407 rounded to 2 dps?
0.09
Round -117831088 to the nearest ten thousand.
-117830000
Round 70.90761413 to the nearest integer.
71
Round -1483.67149 to zero decimal places.
-1484
Round 137127.3138 to the nearest 100.
137100
Round 0.0312234265 to four dps.
0.0312
Round 14.2603259 to one dp.
14.3
Round -56459.54242 to 0 decimal places.
-56460
Round -11.043006124 to three decimal places.
-11.043
What is -1327587.483 rounded to the nearest 10000?
-1330000
Round 5187885.319 to the nearest 1000000.
5000000
Round 117430184.3 to the nearest one hundred thousand.
117400000
Round 0.01899341315 to 3 decimal places.
0.019
Round -105644.015 to the nearest one million.
0
What is 0.00035308813 rounded to six decimal places?
0.000353
Round -27.1193709 to 3 dps.
-27.119
What is 11653.84674 rounded to the nearest ten?
11650
What is 17.53154438 rounded to the nearest integer?
18
What is 0.0598368607 rounded to two decimal places?
0.06
Round 29256.9473 to the nearest 10000.
30000
Round 0.0937053396 to 5 decimal places.
0.09371
What is -400995.995 rounded to the nearest 10000?
-400000
What is 0.008519344295 rounded to 7 decimal places?
0.0085193
Round -0.352375053 to 4 dps.
-0.3524
What is 0.0000945688921 rounded to 6 decimal places?
0.000095
What is 15975604.05 rounded to the nearest 100000?
16000000
Round 35.53281198 to 3 decimal places.
35.533
What is -1.02216734 rounded to 1 decimal place?
-1
Round 22420073.49 to the nearest 1000.
22420000
What is 5251295.01 rounded to the nearest 1000000?
5000000
What is -198.3966 rounded to the nearest 1000?
0
Round -63727.6757 to the nearest one hundred.
-63700
Round 0.6231493452 to 2 dps.
0.62
What is -0.00105456334 rounded to four decimal places?
-0.0011
What is -0.001246249037 rounded to 5 decimal places?
-0.00125
What is -506899.0323 rounded to the nearest ten thousand?
-510000
Round -0.00404305391 to four dps.
-0.004
Round 1175345.4 to the nearest one hundred.
1175300
What is -0.001124996358 rounded to five dps?
-0.00112
Round 29408502.7 to the nearest 10000.
29410000
What is 34602365.67 rounded to the nearest one million?
35000000
What is 195431.879 rounded to the nearest 10?
195430
What is 0.00147431771 rounded to 7 decimal places?
0.0014743
Round 3.43933167 to one dp.
3.4
Round -2.7475647 to 1 decimal place.
-2.7
What is 76.8009661 rounded to 3 decimal places?
76.801
What is -569763.279 rounded to the nearest one hundred thousand?
-600000
Round 40760005.3 to the nearest one million.
41000000
What is -70676145 rounded to the nearest 1000000?
-71000000
Round -0.003064743104 to 5 decimal places.
-0.00306
What is 2358901816 rounded to the nearest 1000000?
2359000000
Round 74.7754906 to 0 decimal places.
75
What is 17264.3 rounded to the nearest 10000?
20000
What is 0.00033081017 rounded to five decimal places?
0.00033
Round -0.000003061672943 to seven decimal places.
-0.0000031
Round 32658903.8 to the nearest one hundred thousand.
32700000
Round 0.000436597457 to 7 decimal places.
0.0004366
What is -0.000071691927 rounded to 7 decimal places?
-0.0000717
Round -0.00004718642253 to five decimal places.
-0.00005
What is -44.9266565 rounded to 2 dps?
-44.93
Round 0.126720436 to 3 decimal places.
0.127
Round 26279.83138 to the nearest 100.
26300
What is -2366820.15 rounded to the nearest one hundred?
-2366800
What is -242.5291 rounded to zero decimal places?
-243
Round 0.79040172 to four decimal places.
0.7904
Round 0.501962326 to 2 dps.
0.5
Round 166292.4632 to the nearest one hundred.
166300
What is 0.008262103202 rounded to 6 decimal places?
0.008262
What is -29669.4062 rounded to the nearest ten?
-29670
What is -59.623946 rounded to two decimal places?
-59.62
What is 0.914304758 rounded to five dps?
0.9143
What is -2.52556786 rounded to one decimal place?
-2.5
Round 7640.779 to the nearest ten.
7640
Round 408.64817 to the nearest 100.
400
Round -0.035448927 to 5 decimal places.
-0.03545
Round 0.00000170364138 to 7 decimal places.
0.0000017
Round -67.8933143 to one dp.
-67.9
What is 1.115078885 rounded to 3 dps?
1.115
Round -138790.172 to the nearest ten thousand.
-140000
Round 2159355000 to the nearest 100000.
2159400000
What i
|
{
"pile_set_name": "DM Mathematics"
}
|
by v(-12).
5
Let k(q) = 4*q**2 + 129*q + 38. What is the remainder when k(-37) is divided by 24?
21
Let n = -177 - -334. Calculate the remainder when n is divided by 53.
51
Let k(a) = 14*a - 18. What is the remainder when (-2 - -2 - -36) + 3 is divided by k(2)?
9
Let s = 11 + -7. Suppose 9*v - 15 = s*v. Suppose -4*g + 32 = 4*b, v*g + 5*b - 11 = 7. What is the remainder when 19 is divided by g?
8
Suppose 5*s - 2430 = -5. Let d = -287 + s. Calculate the remainder when d is divided by 40.
38
Suppose -2*d = 4*z - 74, -2*d + z = -4*z - 83. Suppose -o = -2*l - 2, 0*o - 5*o = 3*l + 3. Suppose 2*j - 28 = -o. What is the remainder when d is divided by j?
11
Suppose 6*w - w + 2*t - 30 = 0, -4*w + 2*t = -42. Calculate the remainder when 759 is divided by w.
7
Suppose b + 2*b - 12 = 0. What is the remainder when 6*b/2*3 is divided by (10/(-6))/((-3)/36)?
16
Let b(l) = l**3 - 2*l**2 + l - 4. Let k be b(3). Suppose 11*y = 10*y + k. Calculate the remainder when y is divided by 6.
2
Let l(y) = -y**2 - 5*y - 1. Let n be l(-4). Let r be (-1)/2*18/n. Calculate the remainder when 133 is divided by 93/3*1 - r.
31
Suppose 3*r + 4*i - 9969 = -2119, 0 = -2*i + 10. Calculate the remainder when r is divided by 67.
64
Let i = 1 - -3. Suppose 3*r + 4*y = 510, -i*r + 702 = -y - y. What is the remainder when r is divided by 44?
42
Let i be 90/4 + 3/(-6). Suppose -14*g - i = -134. What is the remainder when 93 is divided by g?
5
Let d(s) = s**2 - 21*s + 32. Let f be d(22). Let h = 93 - f. Suppose -2*l = -l - 11. Calculate the remainder when h is divided by l.
6
Suppose 4*l - 2*l = -l. Let w(x) = -4*x**3 + 0*x + 3*x**3 + x**2 - x + 34. Calculate the remainder when w(l) is divided by 12.
10
Let s = -40 - -66. Let a = s + -46. Let h = -4 - a. What is the remainder when 61 is divided by h?
13
Let d = -1497 - -1898. What is the remainder when d is divided by 45?
41
Suppose 2*k = -3*p + 325, -8*k + 13*k = -4*p + 823. Calculate the remainder when k is divided by 61.
45
Let f = 26 - 17. Let z be (0 + -2)*(-12)/8. Suppose -2*b - b = 5*i - 7, -5*b + z*i + 23 = 0. Calculate the remainder when f is divided by b.
1
Let z be (-3 + 44/20)*-150. Suppose 3*y - 224 = a, -4*a + 482 - z = 5*y. What is the remainder when y is divided by 26?
22
What is the remainder when (-68 - 9)*(-3 + 2) is divided by 21?
14
Suppose 4*o - 46 = -2*z + 14, -3*o + 145 = 4*z. Calculate the remainder when z is divided by 2/(-6) - (-5824)/273.
19
Suppose -33*v + 507 = 12. Calculate the remainder when 28 is divided by v.
13
Let h = 104 + -61. Calculate the remainder when 85 is divided by h.
42
Suppose -5*b + 282 = 47. Suppose -17 = -19*u + 14*u - 2*l, 4*l = -36. What is the remainder when b is divided by u?
5
Suppose -k - k = 3*j + 81, 0 = -4*k + j - 169. Let c = k + 50. What is the remainder when 28 is divided by c?
4
Calculate the remainder when 152 + ((-24)/(-16))/(1/2) is divided by 41.
32
Let u(t) = t**2 + 2*t - 7. Let d be u(-4). Suppose x = -p - d, -5 = 3*x - p - 18. Calculate the remainder when x is divided by 3.
0
Suppose 4*p = -2*j + 558, j = -j + 10. Calculate the remainder when p is divided by 23.
22
Suppose 4*w - 52 = -3*y, -2*w + 16 = -y - 10. Let m(a) = 5*a**2 + 3*a + 2. What is the remainder when m(-3) is divided by w?
12
Let c be -5*(-1 + (-195)/(-25)). Let j = 10 - c. What is the remainder when j is divided by 9?
8
Suppose 0 = -5*j + 23 - 8. Suppose -4*f + j = b - 19, -2*b + 44 = 2*f. Calculate the remainder when 65 is divided by b.
21
Let w = -30 - -48. Suppose -4*y - w = -5*y - 4*f, 3*y - f - 41 = 0. What is the remainder when 82 is divided by y?
12
Suppose 73 = 4*s + d, -2*s - 2*s = -2*d - 70. What is the remainder when 49 is divided by s?
13
Let r be 6/(-4)*8/(-3). Let j(z) = 4*z**2 + 5*z + r + 5 - 2 - 4. Calculate the remainder when j(-5) is divided by 20.
18
Let d(y) = 15*y**3 + y**2 - y + 1. What is the remainder when 352/12 + -8*(-6)/72 is divided by d(1)?
14
Suppose 14*a + 103 - 257 = 0. Calculate the remainder when 59 is divided by a.
4
Suppose 3*i = 3*q + 2 + 1, -2*q = i + 8. Calculate the remainder when 75 is divided by -26*(1 + i)*1.
23
Suppose 0 = -3*x + 3*a - 2*a + 323, -3*a + 12 = 0. Let j = 131 - x. What is the remainder when 86 is divided by j?
20
Let m(y) = -12*y + 64. Calculate the remainder when m(-9) is divided by 47.
31
Let j(a) = 6*a**2 - 275*a - 10. Calculate the remainder when 500 is divided by j(46).
32
Let f be (-1062)/36*(1 - 3/1). Suppose -64 = -67*q + f*q. What is the remainder when q is divided by 3?
2
Suppose 0 = -13*p + 14*p - 1. Suppose -b + 4*y = -p - 2, 5*b + 4*y = 111. Let d(v) = -74*v. Calculate the remainder when d(-1) is divided by b.
17
Let c(a) be the second derivative of a**4/12 - 13*a**3/6 + a**2/2 - a. Calculate the remainder when c(16) is divided by 13.
10
Suppose 3*l = 2*p + 31, -7*l + 8*l = 5*p + 6. What is the remainder when l is divided by 4?
3
Calculate the remainder when 42 is divided by ((2/(-1))/4)/((-1)/30).
12
Suppose -2*o + 35 = 3*o. Suppose 0 = -5*q - u + 30, q - 2*u - 2 = -3*u. Let w = -2 + q. Calculate the remainder when o is divided by w.
2
Let m(w) = w**2 + 10*w + 19. Suppose 3*a + 16 = 2*h, 0 = 2*a + a - 5*h + 4. Let z = 36 - 25. What is the remainder when z is divided by m(a)?
2
Let s be -1*(-6)/(-2)*(-2 + -10). Suppose -4*i + 2*i = 3*m - s, 2*m - 17 = i. What is the remainder when 36 is divided by m?
6
Let q = 36 - 35. Calculate the remainder when q + 47 - (-1 - 0) is divided by 26.
23
Suppose -v + 118 = i + 24, 10*i = -v + 895. Calculate the remainder when 711 is divided by i.
88
Calculate the remainder when 63 is divided by 4*(8/(-48) + (-185)/(-12)).
2
Let y be (-1 + (-4)/(-8))*-2. Let k(f) = 60*f**2 + 2*f. Calculate the remainder when k(y) is divided by 24.
14
Let n = -58 - -103. Let s = 1657 + -1634. Calculate the remainder when n is divided by s.
22
Suppose 0 = -g + 129*s - 131*s + 160, 5*s - 780 = -5*g. Calculate the remainder when g is divided by 70.
12
Let l(y) = -16*y - 82. Let f(q) be the third derivative of -q**4/6 - 7*q**3/6 + 4*q**2. What is the remainder when f(-8) is divided by l(-6)?
11
Let f(w) = 2*w - 9. Let j be f(7). Suppose -j*y - c = 74, c + 4*c + 62 = -3*y. Let q = 62 + y. Calculate the remainder when q is divided by 25.
23
Suppose -11*f - 103 + 686 = 0. What is the remainder when f is divided by 23?
7
Let o(l) = 2*l**3 - 7*l**2 - l + 3. Let t be o(4). Suppose 12*g = 9*g + t. Calculate the remainder when 30 is divided by g.
0
Let v(s) = -2*s - 7. Let a be v(-6). Let q be (1 + 0)*(-12 + a). Let y(l) = -6*l - 10. Calculate the remainder when 127 is divided by y(q).
31
Let g = -33 - -25. Calculate the remainder when 22 is divided by 0 + -3 - 128/g.
9
Suppose -542 + 662 = 3*u. Calculate the remainder when 134 is divided by u.
14
Let d = -66 + 84. What is the remainder when 1113 is divided by d?
15
Let h(u) = -41*u + 4. Let t be h(-1). Suppose 4*w - 4*p - 72 = 2*w, -w + 5*p + t = 0. Calculate the remainder when w is divided by 16.
14
Suppose 4*i - 6*w - 268 = -2*w, -4*i + 258 = w. Let z = 77 - i. Calculate the remainder when z is divided by 5.
2
Let j(h) = 29*h**2 + 4*h - 12. What is the remainder when j(2) is divided by 63?
49
Let g = -249 - -263. Calculate the remainder when 80 is divided by g.
10
Let z(l) = -l**2 + 2*l + 6. Calculate the remainder when 46 is divided by z(0).
4
Let i(r) = -r**3 + 11*r**2 - 2*r + 26. Let h be i(11). Suppose -2*j = 5*n - 0*n - 86, 3*j - 73 = -h*n. Calculate the remainder when 91 is divided by n.
11
Suppose 110*f - 6177 = 23*f. Calculate the remainder when f is divided by (104/(-12))/(2/(-3)).
6
Let w = 22 - 7. Let z = -159 + 231. What is the remainder when z is divided by w?
12
Calculate the remainder when 443 is divided by 367/5 - (1 + 32/(-20)).
73
Suppose -128*c = -131*c + 411. What is the remainder when c is divided by 38?
23
Suppose -3065 - 2133 = -46*h. Calculate the remainder when h is divided by 77.
36
Let m(u) = 1. Let d(q) = -3*q + 1. Let x(r) = -d(r) + 6*m(r). Let c be x(-2). Calculate the remainder when (4/(-12) - c)*99 is divided by 17.
15
Suppose y + 4*y - 3*l - 288 = 0, -y + 3*l = -60. Let h(z) = 2*z**2 + 13*z - 9. What is the remainder when y is divided by h(-8)?
12
Suppose 2*z + 7 = 31. Suppose -z = 3*q, -3*h + 8*h - 40 = 5*q. Suppose h*p - 38 = -m, 2*p + 0*m +
|
{
"pile_set_name": "DM Mathematics"
}
|
16452?
True
Is 34 a factor of 55216?
True
Does 1372 divide 1743546?
False
Is 55 a factor of 617212?
False
Does 159 divide 269505?
True
Is 102638 a multiple of 88?
False
Is 14 a factor of 2735152?
True
Does 163 divide 32373?
False
Does 156 divide 1058460?
True
Is 776950 a multiple of 33?
False
Is 198463 a multiple of 178?
False
Does 27 divide 2953449?
True
Is 465353 a multiple of 4?
False
Is 53998 a multiple of 98?
True
Is 141 a factor of 76530?
False
Does 268 divide 175081?
False
Does 17 divide 529278?
True
Does 560 divide 12508720?
True
Is 182 a factor of 166343?
False
Does 28 divide 30020?
False
Is 1105194 a multiple of 5?
False
Is 32 a factor of 18528?
True
Is 46 a factor of 54805?
False
Does 23 divide 402131?
False
Does 18 divide 1014232?
False
Is 1132872 a multiple of 3?
True
Does 49 divide 2800648?
False
Is 17080 a multiple of 35?
True
Does 12 divide 238044?
True
Is 691049 a multiple of 37?
True
Is 175 a factor of 223125?
True
Is 1483791 a multiple of 3?
True
Is 72330 a multiple of 10?
True
Is 4115628 a multiple of 132?
True
Is 7 a factor of 23798?
False
Is 672 a factor of 82656?
True
Is 267 a factor of 4402205?
False
Is 279808 a multiple of 124?
False
Does 1112 divide 3478336?
True
Does 31 divide 81964?
True
Is 1487258 a multiple of 386?
True
Is 21 a factor of 50211?
True
Is 75 a factor of 360300?
True
Is 4300 a multiple of 10?
True
Is 383 a factor of 495219?
True
Is 46 a factor of 1646662?
True
Does 247 divide 556301?
False
Is 72 a factor of 16677182?
False
Is 19152 a multiple of 28?
True
Does 173 divide 277709?
False
Does 60 divide 1386000?
True
Is 55881 a multiple of 9?
True
Is 76998 a multiple of 17?
False
Does 208 divide 249184?
True
Is 2190246 a multiple of 102?
True
Is 83 a factor of 2619396?
False
Does 84 divide 696778?
False
Does 517 divide 136926?
False
Does 23 divide 253047?
False
Does 40 divide 2647600?
True
Is 58357 a multiple of 13?
True
Is 228 a factor of 220932?
True
Does 31 divide 3682765?
False
Is 374 a factor of 21949538?
False
Is 134 a factor of 3218680?
True
Is 78 a factor of 714660?
False
Does 47 divide 330358?
False
Is 11326309 a multiple of 79?
True
Does 3 divide 207226?
False
Is 671902 a multiple of 35?
False
Is 540 a factor of 17280?
True
Does 232 divide 133632?
True
Is 1785030 a multiple of 299?
True
Is 177 a factor of 4425000?
True
Does 91 divide 158151?
False
Is 370904 a multiple of 8?
True
Is 9 a factor of 17332?
False
Does 6 divide 2076?
True
Is 340 a factor of 14732033?
False
Is 130043 a multiple of 23?
False
Does 16 divide 347311?
False
Does 9 divide 334864?
False
Is 49804 a multiple of 137?
False
Is 240 a factor of 17218576?
False
Is 1604040 a multiple of 60?
True
Does 227 divide 5448?
True
Is 3436030 a multiple of 130?
True
Is 4263336 a multiple of 66?
True
Is 86722 a multiple of 116?
False
Is 630342 a multiple of 27?
True
Does 31 divide 6781?
False
Does 1223 divide 245823?
True
Does 5 divide 71370?
True
Is 1842129 a multiple of 3?
True
Is 1007920 a multiple of 10?
True
Is 12602 a multiple of 24?
False
Does 32 divide 28960?
True
Is 3101832 a multiple of 201?
True
Is 285328 a multiple of 499?
False
Is 21 a factor of 59052?
True
Is 4672501 a multiple of 180?
False
Does 20 divide 1641620?
True
Is 165 a factor of 880935?
True
Is 22178209 a multiple of 17?
False
Is 3963600 a multiple of 15?
True
Is 14973 a multiple of 31?
True
Is 5323762 a multiple of 58?
True
Is 578980 a multiple of 72?
False
Is 12222 a multiple of 25?
False
Does 525 divide 2269050?
True
Is 251298 a multiple of 177?
False
Is 216752 a multiple of 248?
True
Is 9825048 a multiple of 276?
True
Is 3059560 a multiple of 140?
True
Does 93 divide 27528?
True
Does 80 divide 7301120?
True
Is 513 a factor of 3391443?
True
Is 346776 a multiple of 347?
False
Does 69 divide 3848398?
False
Does 12 divide 51468?
True
Does 680 divide 3452451?
False
Does 98 divide 150136?
True
Does 1099 divide 8047977?
True
Is 144480 a multiple of 112?
True
Is 230534 a multiple of 73?
True
Is 31636 a multiple of 7?
False
Is 1410038 a multiple of 406?
True
Is 38 a factor of 163055?
False
Is 8213 a multiple of 20?
False
Is 1046 a factor of 4828823?
False
Is 4549943 a multiple of 20?
False
Is 218 a factor of 13298?
True
Does 4 divide 47820?
True
Does 23 divide 4346?
False
Does 30 divide 606220?
False
Is 1105684 a multiple of 316?
True
Is 2 a factor of 997507?
False
Does 15 divide 17714445?
True
Is 153111 a multiple of 20?
False
Is 11 a factor of 2615317?
False
Is 19 a factor of 8749241?
False
Does 14 divide 1560972?
True
Is 405178 a multiple of 289?
True
Is 213120 a multiple of 124?
False
Does 66 divide 893112?
True
Is 220 a factor of 117480?
True
Is 27092 a multiple of 52?
True
Is 29 a factor of 7273258?
True
Is 240135 a multiple of 3?
True
Is 26843 a multiple of 17?
True
Does 23 divide 183770?
True
Does 860 divide 3967171?
False
Does 834 divide 5089413?
False
Does 11 divide 178553?
False
Is 9114951 a multiple of 1785?
False
Is 53 a factor of 289175?
False
Is 6 a factor of 317706?
True
Is 2000844 a multiple of 36?
True
Is 2176152 a multiple of 44?
True
Does 235 divide 677740?
True
Is 13024665 a multiple of 15?
True
Is 256240 a multiple of 12?
False
Is 135 a factor of 158760?
True
Is 734 a factor of 293841?
False
Does 691 divide 2742090?
False
Does 38 divide 3250140?
True
Is 214281 a multiple of 69?
False
Is 89 a factor of 65504?
True
Is 93 a factor of 65937?
True
Does 48 divide 187894?
False
Does 11 divide 87230?
True
Does 52 divide 2378582?
False
Is 7 a factor of 20344?
False
Is 54 a factor of 382618?
False
Is 5862336 a multiple of 32?
True
Is 147 a factor of 500094?
True
Is 507298 a multiple of 690?
False
Does 913 divide 1421541?
True
Is 2378650 a multiple of 226?
True
Is 2007432 a multiple of 18?
True
Is 12 a factor of 43452?
True
Is 20 a factor of 10660?
True
Is 258656 a multiple of 13?
False
Does 100 divide 284600?
True
Does 41 divide 71750?
True
Does 968 divide 5266888?
True
Is 1503556 a multiple of 46?
True
Is 159 a factor of 617196?
False
Does 106 divide 4093276?
False
Is 2056699 a multiple of 83?
False
Is 104640 a multiple of 4?
True
Is 1100784 a multiple of 1292?
True
Is 409411 a multiple of 14?
False
Does 1126 divide 1676614?
True
Is 30 a factor of 3964770?
True
Is 3 a factor of 1309369?
False
Is 2506367 a multiple of 34?
False
Is 43 a factor of 334411?
True
Is 1423361 a multiple of 90?
False
Is 1057655 a multiple of 12?
False
Does 147 divide 191284?
False
Is 190 a factor of 583764?
False
Is 1579 a multiple of 752?
False
Is 365746 a multiple of 991?
False
Is 196470 a multiple of 531?
True
Is 413 a factor of 141286?
False
Is 217374 a multiple of 22?
False
Is 10890781 a multiple of 19?
True
Is 3552152 a multiple of 29?
True
Is 5432042 a multiple of 22?
True
Does 81 divide 165888?
True
Is 290726 a multiple of 6?
False
Is 471638 a multiple of 23?
True
Is 562 a factor of 1400014?
False
Is 401791 a multiple of 62?
False
Does 52 divide 297492?
True
Is 13013750 a multiple of 484?
False
Is 847 a factor of 20085758?
True
Does 28 divide 23918?
False
Is 17160 a multiple of 6?
True
Is 326048 a multiple of 79?
False
Is 9 a factor of 41148?
True
Is 4329951 a multiple of 177?
True
Is 146 a factor of 604829?
False
Is 562877 a multiple of 6?
False
Is 120744 a multiple of 13?
True
Is 308 a factor of 40904?
False
Does 12 divide 1602641?
False
Is 19 a factor of 1398983?
False
Is 19 a factor of 20425249?
False
Is 98 a factor of 278516?
True
Does 488 divide 81984?
True
Is 14 a factor of 17289378?
False
Is 10 a factor of 85487?
False
Does 122 divide 7737484?
True
Is 2725295 a multiple of 168?
False
Is 317520 a multiple of 135?
True
Does 22 divide 243072?
False
Does 148 divide 74395?
False
Is 75608 a multiple of 8?
True
Does 39 divide 1331118?
False
Is 246 a factor of 789313?
False
Does 128 divide 480388?
False
Is 10 a factor of 241780?
True
Is 126 a factor of 12242146?
False
Is 126 a factor of 2178092?
False
Is 5 a factor of 3340?
True
Is 18 a factor of 181836?
True
Does 6 divide 1410768?
True
Is 6709335 a multiple of 234?
False
Is 615 a factor of 212276?
False
Is 102158 a multiple of 9?
False
Is 207 a factor of 28799305?
False
Is 18353602 a multiple of 15?
False
Does 106 divide 1101903?
False
Does 37 divide 226186?
False
Is 37 a factor of 9495163?
False
Is 8 a factor of 5096622?
Fal
|
{
"pile_set_name": "DM Mathematics"
}
|
19*b. Let c be u(1). Let a be (-36)/c + (-6)/(-10). Solve o = -a*o + 2 for o.
2
Let a(g) be the first derivative of 9*g**2 - 1/4*g**4 + 14 - 2*g**3 + 20*g. Let m be a(-8). Solve j + 0*j = m for j.
4
Let d(t) = t**3 + 1. Let i be d(1). Suppose -p - 5*k + 17 = -3*p, -2*p + 4*k - 16 = 0. Let h be (0*3/p)/(6 + -7). Solve h = -i*j - 5 - 3 for j.
-4
Let y(n) be the first derivative of n**2/2 + 65*n + 16. Let j be y(-53). Solve 0 = 2*v - 6*v - j for v.
-3
Let a = -2618 - -2665. Solve 16 = -21*d - a for d.
-3
Let x(u) = 4*u**3 - u + 1. Let c be x(1). Let p = -15166 - -15170. Solve -c*m - p = 4 for m.
-2
Suppose 4*o - 8 + 1 = v, 3*v + o - 18 = 0. Suppose 0 = -0*u + 5*u + 10, v*p = 2*u + 64. Suppose -p*i - 10 = -14*i. Solve -c + i*c = 12 for c.
3
Let h(v) = v**3 + 2*v**2 - 14*v - 2. Let i be h(-5). Let m = -5 - i. Solve -m*t = 4 - 10 for t.
3
Suppose 0 = a - 2. Suppose 9*u - 134 = -125. Solve a = r + u for r.
1
Let w(n) be the first derivative of -n**3/3 - 9*n**2/2 + 5*n + 31. Let g be w(-9). Solve g*l + 30 = -l for l.
-5
Let d(a) = -3*a**2 + 5*a. Let i(z) = -z**2 + z + 1. Let w(n) = d(n) - 4*i(n). Let l be w(2). Suppose 0 = r - 6 + l. Solve -8 - 12 = -r*s for s.
5
Let u(y) = 3*y**3 + 16*y**2 + y - 6. Let s be u(-5). Solve -33 = -s*b + 25*b for b.
-3
Let u = 14062 + -14052. Solve 36*h - 38*h = -u for h.
5
Let v(f) = f**2 + 523*f - 6853. Let u be v(13). Solve -u*s = -103*s + 72 for s.
-6
Let z(n) = n**3 - 21*n**2 + 20*n. Let t be z(20). Suppose -u = i, 5*u + t*u + 18 = 4*i. Solve -4*w = -i + 6 for w.
-1
Suppose f = -5*m - 19, 34 = -7*f + 11*f - 2*m. Solve -16 + 10 = f*p for p.
-1
Let o be (0 - -3*3/(-9))*(-1 - 22). Solve -15*v - 40 = -o*v for v.
5
Let k = -12524 + 12529. Let r be 1 - 1 - (1 + -1). Suppose r*l - l + 9 = 0. Solve -16 - l = -k*a for a.
5
Let v(a) = 13*a - 83. Suppose 12*f - 10 = 14*f. Let r(h) = 6*h - 42. Let k(y) = f*r(y) + 2*v(y). Let t be k(10). Solve t - 3 = -g for g.
-1
Let g(x) = -x. Let a(y) = -4*y - 4. Let d(v) = -a(v) - 3*g(v). Let k be d(2). Solve 7*b = b - k for b.
-3
Let x be 2/4 + (-9504)/(-64). Let z = -126 + x. Solve z*j = 28*j - 5 for j.
1
Suppose 0 = 11*k - 7*k - 12. Let t = 317 - 319. Let p be k - 1*(t + -4). Solve a = -2*a + p for a.
3
Let q = 195 - 195. Solve 47*c - 51*c - 12 = q for c.
-3
Let o(w) be the second derivative of w**3/2 + 3*w**2/2 + 13*w. Let a be o(-1). Let s(n) = n**3 - n. Let x be s(1). Solve -3*q + x - 12 = a for q.
-4
Suppose -48 = 223*y - 231*y. Let p be 18 - (0 - 12/y). Solve -p = -x - 4*x for x.
4
Let c = -230 + 219. Let v be (6 + 2)/88 - (-1)/c. Solve v*l + 4*l = -6*l for l.
0
Let p(g) = 34*g + 4. Let z be p(-1). Let w be (16/(-20))/(2/z - 0). Suppose 4*k + 2*m - w = 2, -2*m + 10 = 0. Solve 0 = -2*s - 5 - k for s.
-3
Let d(i) = -10*i**2 + 4000. Let g be d(0). Solve -2*u - 3992 = -g for u.
4
Let y(l) = 3*l**2 - 17*l - 36. Let v be y(-2). Suppose 5*s = v + 20. Solve f + f - s = 0 for f.
3
Suppose 5*d = -4*g + 413, -39*g + d = -36*g - 305. Solve 7*v + g = -10*v for v.
-6
Let h(f) = 3*f**2. Let o = 156 - 156. Let s be h(o). Solve s*k = k - 5 for k.
5
Let s(t) = -478*t - 2418. Let p be s(-6). Solve 0 = -465*f + p*f + 60 for f.
4
Let f(j) = 132*j - 214. Let n be f(2). Solve 6*u - n = -68 for u.
-3
Let m = 27 - 24. Suppose 5*q + 5*o - 315 = 0, o + 20 = -m*o. Let s = -65 + q. Solve 0 = -3*y - s - 3 for y.
-2
Let j be 254/4 - ((-12)/(-8))/(-3). Solve j*b = 33*b for b.
0
Suppose 4*j = -5*j + 45. Suppose 3*a = -z + 53, j*a + 7*z - 2*z = 105. Let w = -2 + 2. Solve w = -3*n - n + a for n.
4
Let b = 14 - 14. Let v(k) = k**2 + 153*k - 625. Let p be v(4). Solve b = p*j - 2*j - 5 for j.
5
Let l(d) be the second derivative of -19*d**3/6 + 145*d**2/2 + 138*d. Let j be l(7). Solve -8*u - j = -5*u for u.
-4
Let o(g) = g**2 + 6*g - 232. Let r be o(14). Solve -r*y + 10 = -38*y for y.
1
Suppose 112*s - 249*s = -548. Suppose -2*y + 18 = y + 3*k, -4*y - 3*k + 22 = 0. Suppose y*o = 5*o. Solve o = s*d - 0*d for d.
0
Let j = -3350 - -3468. Solve 116 = -u + j for u.
2
Let h = 329 - 202. Suppose 128 + h = 17*d. Solve d*x - 19*x = 4 for x.
-1
Suppose 0 = 339*c - 337*c - 16. Solve -8*y = -c - 8 for y.
2
Suppose -54*c - 3*o + 3 = -57*c, 0 = 4*c - 5*o + 5. Solve -18*f - 10*f - 56 = c for f.
-2
Let c be 2 + (-4 - -6)*92/8. Suppose -c = -r - 4*r. Solve -g - 4*g = r for g.
-1
Let t = -3242 + 3310. Solve -4*n + t = 13*n for n.
4
Let y(b) = b**3 - 8*b**2 - 68*b + 559. Let u be y(8). Solve u = 25*h + 115 for h.
-4
Suppose 4*n = -4*f + 96, 0 = -2*f - 3*n + 184 - 141. Solve -19*o - 10 = -f for o.
1
Let j = -4182 - -4220. Solve -j*w + 48 - 200 = 0 for w.
-4
Let i = 3844 + -3727. Let s = -204 + 314. Let w = i - s. Solve -5*a + 8 = -w for a.
3
Suppose -43*b + 1276 = b. Let p = b + -24. Solve -14*i + 9*i - p = 0 for i.
-1
Let s(d) = d + 4. Let j be s(-4). Let p(v) = 3 - 2*v**3 - v**2 + 0*v**2 + v**3 + 1. Let w be p(j). Solve -w = 3*z + z for z.
-1
Let m(f) = 3*f**3 + 33*f**2 + 8*f + 103. Let b be m(-11). Solve -2*c = -b*c for c.
0
Suppose 5*r - 4*l - 426 = 0, -5*r - 145 = 5*l - 535. Solve -55 = -93*y + r*y for y.
5
Suppose 170*w = 121*w + 7448. Solve 0 = -141*a + w*a + 22 for a.
-2
Suppose 2*r = -5*x - 3, -4*r + 34*x = 30*x - 36. Solve r*t = -16 + 16 for t.
0
Suppose -2*k - 2*k + 16 = 0. Let m = -234 + 238. Suppose m*d - 40 = -7*o + 3*o, 26 = 5*o - d. Solve k*t + 2 + o = 0 for t.
-2
Let a = 5878 + -5631. Solve 0 = a*u - 238*u - 9 for u.
1
Let a(b) = b**2 - 5*b - 32. Let c be 15 + (-4 - 0) - 2. Let o be a(c). Solve -o*s = s - 0*s for s.
0
Suppose -11*w = -5*m - 6*w + 10, 25 = 2*m + 5*w. Suppose 37 = m*j + 4*o, -3*j - 5*o = -0*o - 30. Solve 5*v = -j*v + 50 for v.
5
Let o(h) = h**2 - 14*h + 47. Let t be o(11). Suppose t*c - 12 = 2. Solve 0*s = -s + c for s.
1
Suppose -h - 4*s + 15 = -2*h, -5*h = -s - 20. Suppose -r + h*r + 4*m = 104, -3*r + 81 = 4*m. Solve -11*f + r = 1 for f.
2
Let v(p) be the second derivative of -p**3/6 + 19*p**2/2 + 2*p + 61. Let a be v(15). Solve -4 = -8*g + a*g for g.
1
Suppose 1 + 9 = 2*p. Suppose 0 = -p*h + 8 + 17, -3*d + 31 = 5*h. Let a = 16552 + -16552. Solve a = -0*z + z + d for z.
-2
Let c(m) = -5*m - 6. Let i be c(-3). Suppose 3*x - 15 = -2*s + 2*x, -s = x - i. Suppose s - 11 = -f. Solve 2*y + f = y for y.
-5
Let u(t) = 5*t**2 - 37*t + 283. Let y be u(8). Solve 0 = -304*c + y*c for c.
0
Suppose 998 = 2*f + 20*z - 16*z, -4*f + 2056 = -2*z. Solve -f*l + 518*l - 42 = 0 for l.
6
Let w = -719 - -737. Solve 0 = w*h - 3*h + 30 for h.
-2
Let h be ((-264)/(-15))/(((-252)/(-35))/9). Solve 21*a = 32*a - h for a.
2
Let y = -8721 + 8745. Solve 116*h + y = 108*h for h.
-3
Let x(m) = -2*m**3 + 31*m**2 - 16*m + 19. Let d be (3/6 + 0)*38 + -4. Let p be x(d). Suppose 4*r = -3*t - 6, -5*t + 20 - 4 = -2*r. Solve -p*h = 14 - t for h.
-3
Suppose 1007 + 616 = 81*u - 402. Solve u*m - 49*m + 192 = 0 for m.
8
Let d(q) = -112*q - 1189. Let w be d(-13). Solve -w = 8*o - 235 for o.
-4
Suppose 3*k + k = 816. Let x be (-1)/(2/(k/(-3))). Suppose 5*y - 6 = x. Solve -y + 3 = 5*i for i.
-1
Let a(k) = k**3 - 4*k**2 - 2*k + 9. Let w(f) = 41*f - 328. Let s be w(8). Let c be a(s). Solve -l + c = 4 for l.
5
Suppose -8*o + 15 = -3*o. Let r = 102 - 100. Let i(g) = 2*g**2 - 6*g + 12. Let b be i(r). Solve b + 4 = -o*k for k.
-4
Let t(h) = 5*h - 121 + 56 + 60. Let a be t(-4). Let j be -5*5/a + 3. Solve 0 = j*y - 16 for y.
4
Let h = -53 + 86. Let k = h + -28. Suppose 2*o - 3 = -o. Solve -k*s - o = 9 for s.
-2
Suppose 0 = m + a - 97, 7*m - 471 = 2*m - 3*a. Solve 18 = -93*l + m*l for l.
-6
Suppose -4*v - 56 = c - 458, -2*c + 5*v = -778. Let x = -372 + c. Solve 4*f + x = 6 for f.
-4
Suppose j - 16*j + 78 = -2*j. Let f = 6 + 3. Let t = -2 + 7. Solve -t*a - j = f for a.
-3
Let j = 224 - 246. Let p = j - -23. Let b(v) = v**3 - 3*v**2 + 3*v - 4. Let u be b(4). Solve -5*i + u = -p for i.
5
Let f be (-3 - 3/(-6))/((-2)/12). Suppose f*h - 100 = 50. Solve -3*r + h = 2*r for r.
2
Suppose -5*o = -20, -2*f - 202*o = -203*o - 28. Solve -54*z - f*z - 560 = 0 for z.
-8
Suppose 80 = -5*l - 5*n, -2*n + 70 = -5*l - 5*n. Let b(i) be the first derivative of i**2/2 + 13*i - 18. Let x be b(l). Solve 3*p + 5 = -x*p for p.
-1
Let o(a) = -a**3 + 30*a**2 - 13*a - 27. Let d be o(18). Let n be d/(-45) - 2/5. Let h = 81 + n. Solve 4*k + k - 5 = h for k.
1
Suppose 0 = -2*a + 5*q + 25, -q +
|
{
"pile_set_name": "DM Mathematics"
}
|
th term of -305, -1120, -2447, -4286, -6637, -9500, -12875?
-256*w**2 - 47*w - 2
What is the j'th term of 1176, 1162, 1140, 1110, 1072, 1026?
-4*j**2 - 2*j + 1182
What is the h'th term of 12175, 24352, 36529?
12177*h - 2
What is the z'th term of 1364, 2651, 3932, 5207, 6476, 7739, 8996?
-3*z**2 + 1296*z + 71
What is the d'th term of 39, 664, 1697, 3132, 4963, 7184?
-d**3 + 210*d**2 + 2*d - 172
What is the j'th term of -566, -2074, -4550, -7994, -12406?
-484*j**2 - 56*j - 26
What is the z'th term of 79177, 158368, 237559?
79191*z - 14
What is the s'th term of 1247, 2578, 3997, 5504, 7099, 8782, 10553?
44*s**2 + 1199*s + 4
What is the r'th term of -257, -201, -149, -101?
-2*r**2 + 62*r - 317
What is the x'th term of 207965, 208001, 208051, 208121, 208217?
x**3 + x**2 + 26*x + 207937
What is the b'th term of -2153, -3999, -5837, -7667, -9489, -11303, -13109?
4*b**2 - 1858*b - 299
What is the i'th term of -1786, -1930, -2324, -3094, -4366?
-21*i**3 + i**2 - 1766
What is the n'th term of 1089, 2215, 3343, 4473, 5605, 6739, 7875?
n**2 + 1123*n - 35
What is the v'th term of 75, 396, 929, 1674?
106*v**2 + 3*v - 34
What is the j'th term of -79001, -157998, -236995, -315992, -394989, -473986?
-78997*j - 4
What is the h'th term of -18832, -37661, -56490, -75319, -94148?
-18829*h - 3
What is the f'th term of 1740, 3468, 5196?
1728*f + 12
What is the u'th term of 14149, 28297, 42445, 56593?
14148*u + 1
What is the m'th term of -575, -648, -723, -800?
-m**2 - 70*m - 504
What is the t'th term of 4275, 4236, 4169, 4062, 3903, 3680?
-2*t**3 - 2*t**2 - 19*t + 4298
What is the i'th term of -9, 290, 1091, 2640, 5183, 8966?
41*i**3 + 5*i**2 - 3*i - 52
What is the z'th term of -205, -261, -351, -469, -609, -765, -931?
z**3 - 23*z**2 + 6*z - 189
What is the p'th term of -35055, -70106, -105159, -140214, -175271?
-p**2 - 35048*p - 6
What is the m'th term of -98609, -98612, -98615, -98618?
-3*m - 98606
What is the k'th term of -1383, -1444, -1531, -1644?
-13*k**2 - 22*k - 1348
What is the t'th term of 36107, 36108, 36109, 36110, 36111, 36112?
t + 36106
What is the a'th term of -7080, -7083, -7086?
-3*a - 7077
What is the h'th term of -764, -1149, -780, 721, 3732?
63*h**3 - h**2 - 823*h - 3
What is the o'th term of 1345, 1342, 1337, 1330, 1321, 1310?
-o**2 + 1346
What is the y'th term of -188496, -188497, -188498, -188499, -188500, -188501?
-y - 188495
What is the m'th term of 235, 399, 563, 727, 891?
164*m + 71
What is the x'th term of -101, -159, -221, -287?
-2*x**2 - 52*x - 47
What is the j'th term of -272971, -545951, -818935, -1091923, -1364915, -1637911, -1910911?
-2*j**2 - 272974*j + 5
What is the d'th term of 12222, 12061, 11900, 11739, 11578?
-161*d + 12383
What is the n'th term of -6402, -12781, -19134, -25461, -31762, -38037?
13*n**2 - 6418*n + 3
What is the o'th term of -3347, -3558, -3769, -3980?
-211*o - 3136
What is the n'th term of 3255, 3606, 4191, 5010?
117*n**2 + 3138
What is the n'th term of -107, -182, -331, -560, -875, -1282, -1787, -2396?
-n**3 - 31*n**2 + 25*n - 100
What is the x'th term of 84, 33, -20, -75, -132, -191, -252?
-x**2 - 48*x + 133
What is the c'th term of -77202, -308832, -694882, -1235352, -1930242?
-77210*c**2 + 8
What is the f'th term of -61, -334, -769, -1360, -2101?
f**3 - 87*f**2 - 19*f + 44
What is the a'th term of -334, -804, -1410, -2152, -3030, -4044?
-68*a**2 - 266*a
What is the t'th term of -162, -552, -1208, -2136, -3342, -4832, -6612, -8688?
-t**3 - 127*t**2 - 2*t - 32
What is the f'th term of 1017, 2417, 4751, 8019, 12221, 17357?
467*f**2 - f + 551
What is the r'th term of -2373, -2361, -2347, -2331, -2313, -2293?
r**2 + 9*r - 2383
What is the x'th term of -346, -692, -1036, -1378, -1718?
x**2 - 349*x + 2
What is the o'th term of -6407, -12803, -19201, -25601, -32003, -38407?
-o**2 - 6393*o - 13
What is the r'th term of 521, 1125, 1729, 2333, 2937?
604*r - 83
What is the h'th term of -1144, -1055, -980, -925, -896?
-h**3 - h**2 + 99*h - 1241
What is the y'th term of -1940, -3655, -5356, -7037, -8692, -10315?
y**3 + y**2 - 1725*y - 217
What is the p'th term of -10293, -10302, -10311, -10320?
-9*p - 10284
What is the l'th term of -554, -1062, -1570?
-508*l - 46
What is the k'th term of 114, 379, 1100, 2505, 4822?
38*k**3 - k + 77
What is the a'th term of -687, -1301, -1915, -2529?
-614*a - 73
What is the t'th term of -7297, -14603, -21911, -29221, -36533, -43847?
-t**2 - 7303*t + 7
What is the r'th term of 8322, 66707, 225184, 533799, 1042598?
8341*r**3 - 2*r - 17
What is the g'th term of -44, -240, -588, -1088?
-76*g**2 + 32*g
What is the n'th term of 4367, 8721, 13075, 17429?
4354*n + 13
What is the v'th term of -48112, -48113, -48114, -48115?
-v - 48111
What is the v'th term of 588, -799, -3110, -6345, -10504, -15587, -21594?
-462*v**2 - v + 1051
What is the s'th term of 679, 2145, 3609, 5071?
-s**2 + 1469*s - 789
What is the x'th term of -780, -811, -862, -933, -1024, -1135?
-10*x**2 - x - 769
What is the s'th term of -3632, -7182, -10736, -14294, -17856?
-2*s**2 - 3544*s - 86
What is the q'th term of -34925, -139893, -314839, -559763?
-34989*q**2 - q + 65
What is the l'th term of -974, -3689, -8200, -14501, -22586, -32449, -44084?
l**3 - 904*l**2 - 10*l - 61
What is the d'th term of -14090, -28173, -42256?
-14083*d - 7
What is the m'th term of 1114, 5533, 12908, 23245, 36550, 52829, 72088?
m**3 + 1472*m**2 - 4*m - 355
What is the o'th term of 140, 227, 312, 395, 476, 555, 632?
-o**2 + 90*o + 51
What is the a'th term of 2625, 5237, 7853, 10473, 13097, 15725?
2*a**2 + 2606*a + 17
What is the l'th term of 15116, 30214, 45312, 60410, 75508?
15098*l + 18
What is the j'th term of -3042, -6093, -9144, -12195, -15246, -18297?
-3051*j + 9
What is the i'th term of 1019, 3835, 11483, 26381, 50947, 87599?
403*i**3 - 2*i**2 + i + 617
What is the w'th term of 468, 872, 1280, 1692, 2108, 2528, 2952?
2*w**2 + 398*w + 68
What is the v'th term of 576, 1209, 1842, 2475, 3108?
633*v - 57
What is the i'th term of -480, -1076, -1670, -2262, -2852, -3440?
i**2 - 599*i + 118
What is the m'th term of 1575, 1570, 1563, 1554, 1543, 1530?
-m**2 - 2*m + 1578
What is the g'th term of -2241, -4441, -6641?
-2200*g - 41
What is the g'th term of 29290, 29286, 29282, 29278?
-4*g + 29294
What is the r'th term of -7789, -31147, -70079, -124585, -194665, -280319?
-7787*r**2 + 3*r - 5
What is the j'th term of -2405, -9632, -21697, -38606, -60365, -86980?
-j**3 - 2413*j**2 + 19*j - 10
What is the q'th term of 23760, 23762, 23766, 23772, 23780?
q**2 - q + 23760
What is the o'th term of -232360, -232356, -232342, -232312, -232260, -232180?
o**3 - o**2 - 232360
What is the y'th term of 92623, 92600, 92577?
-23*y + 92646
What is the x'th term of 19488, 19487, 19486, 19485, 19484, 19483?
-x + 19489
What is the a'th term of 540, 646, 748, 846, 940, 1030?
-2*a**2 + 112*a + 430
What is the x'th term of -71, 49, 251, 535, 901?
41*x**2 - 3*x - 109
What is the o'th term of -923, -1793, -2669, -3551?
-3*o**2 - 861*o - 59
What is the n'th term of -1874586, -1874589, -1874592, -1874595, -1874598, -1874601?
-3*n - 1874583
What is the k'th term of -2030, -4035, -6056, -8093, -10146?
-8*k**2 - 1981*k - 41
What is the m'th term of 9771, 19463, 29155, 38847, 48539, 58231?
9692*m + 79
What is the n'th term of -3314, -3333, -3344, -3341, -3318?
n**3 - 2*n**2 - 20*n - 3293
What is the j'th term of -248, -1060, -2410, -4292, -6700, -9628, -13070?
j**3 - 275*j**2 + 6*j + 20
What is the k'th term of 76, -152, -362, -548, -704, -824, -902, -932?
k**3 + 3*k**2 - 244*k + 316
What is the l'th term of -35976, -35977, -35974, -35967, -35956, -35941?
2*l**2 - 7*l - 35971
What is the j'th term of 2458, 2895, 3332?
437*j + 2021
What is the x'th term of 74, 125, 320, 749, 1502?
15*x**3 - 18*x**2 + 77
What is the j'th term of 65297, 65299, 65301, 65303?
2*j + 65295
What is the t'th term of 4774, 4693, 4610, 4525?
-t**2 - 78*t + 4853
What is the r'th term of -6511, -6523, -6543, -6577, -6631, -6711, -6823, -6973?
-r**3 + 2*r**2 - 11*r - 6501
What is the x'th term of 97, 216, 323, 418, 501?
-6*x**2 + 137*x - 34
What is the b'th term of -2902, -2923, -2956, -3001, -3058?
-6*b**2 - 3*b - 2893
What is the r'th term of 185, 479, 781, 1091, 1409, 1735, 2069?
4*r**2 + 282*r - 101
What is the
|
{
"pile_set_name": "DM Mathematics"
}
|
1 + 3)) + (12 - 22).
0
What is the value of (-9 - -16) + (-14 - -3) - -2?
-2
Evaluate 11 - (-37 + 25 - (8 - 36)).
-5
What is the value of (18 + -33 - -25) + -22?
-12
-171 - -180 - (1 + 0)
8
Calculate (-1 + 13 - (4 + -2)) + -2 - 27.
-19
6 + 5 + -24 + -10 - -7
-16
Calculate (2 - (5 + (-5 - 1))) + -12.
-9
Calculate (43 - 34) + -25 - 10.
-26
Calculate -7 + (-13 - -4) - -2.
-14
What is the value of -33 + -3 + -11 - -9?
-38
-4 - (1 + -4 + -7)
6
Calculate -13 + 5 + 10 + 3.
5
What is -11 + 3 - (3 - 8)?
-3
Calculate -11 - -11 - (0 + (-2 + -2 - 5)).
9
Calculate (1 - -27) + (26 - (30 - -4)).
20
Calculate (-2 - 2) + 2 + -13 + (17 - 6).
-4
Evaluate -12 - (1 + (7 - 17) + 15 - -7).
-25
Evaluate -34 + (-16 - 2 - -8 - (-12 + -2)).
-30
-4 + 1 + (-4 - -12) + 11
16
Calculate -2 - (0 + 25 + -39 + 8 + 33).
-29
What is (-3 - -11) + -8 + 0 - 16?
-16
What is the value of -8 + 3 - (-1 - -22 - (-52 + 42))?
-36
What is the value of 4 + -2 + (-12 - -8 - -8)?
6
Evaluate -7 + -4 + (-6 - -4).
-13
-3 - (-1 + 2) - (0 - -4 - -4)
-12
Evaluate (0 - (-13 + 18)) + -17 + 4.
-18
What is the value of -27 - (-6 + -5 - (2 - 3))?
-17
Calculate 20 + -4 + -21 - (-5 - 1).
1
What is the value of -20 + (31 - (29 - 15))?
-3
Evaluate 1 + -19 + (44 - 37) - (-41 - 4).
34
What is 40 - (16 - (21 - 25))?
20
What is -14 + 4 + 0 - -15?
5
Evaluate 28 + (-21 - 11) - -1.
-3
What is 10 + (12 - 20) + -2?
0
Calculate -13 + -1 + -82 + 87.
-9
8 + -27 - (6 + -46)
21
-13 - (-12 - 6 - -4)
1
What is (1 - (39 - 3)) + -203 + 209?
-29
Evaluate -20 - (-32 + -36 - (-10 - 1)).
37
What is the value of (40 - 32 - (1 + -1)) + -1 + 9?
16
What is -2 + 7 + (-12 + 38 - 22)?
9
-6 + (0 - -1) + -1 - (-21 + -1)
16
What is the value of (16 - -13) + -11 + -30?
-12
What is -387 + 388 - (-22 + 2)?
21
Evaluate -2 + 3 + 15 + 8 + 0.
24
Evaluate (8 - (9 + -12)) + 14 + -4.
21
Evaluate (-2245 - -2250) + (0 - (4 + -2 - 20)).
23
Evaluate 2 + (-3 + (5 + 3 - 14) - -3).
-4
(-6 - -17) + (31 - 53)
-11
Calculate (-60 - (0 - 15)) + 23.
-22
Calculate -8 - 1 - (-193 - -196) - (-25 + 1).
12
14 - ((0 - 2) + 4 + -3)
15
10 + (-6 - -7) - 4
7
Evaluate -15 - (3 + -8 + -8).
-2
Evaluate -6 - -8 - (2 + -1 + 1) - 5.
-5
What is -23 + -7 + 8 + 12?
-10
Calculate (-2 - -4) + 1 + -31 - (-46 - -45).
-27
What is 9 + 11 + -3 + -3 - (19 - 11)?
6
Evaluate 17 + (-16 + 23 - 8).
16
Evaluate (18 - (-6 - -10)) + -10 + 0.
4
-43 + 29 + 28 + -32
-18
What is the value of (-47 - -69) + (-2 - -1) + -10?
11
Evaluate 14 + 0 + 0 - (-6 + 12) - 7.
1
What is -4 + -14 - (-2 + -30)?
14
What is the value of 4 - (5 + (-15 - -32))?
-18
14 + -5 - (-2 + 1) - 13
-3
(2 - 6) + (3 - 7 - (23 - 32))
1
What is the value of 0 - -18 - (37 - 58 - -32)?
7
Calculate (7 - -27) + -26 + (-5 - -1) + -12.
-8
What is 17 + 1 - (-245 - -254)?
9
Calculate 7 + (-9 - (-2 + 14)) + 11.
-3
Evaluate (-5 - (26 - (-30 - -53))) + -1 + 13.
4
What is the value of (-2 - -1 - 1 - (-255 + 225)) + -7?
21
Evaluate -11 + (11 - (-9 + 7)).
2
9 + 0 - (345 + -336)
0
Evaluate (23 - (-26 - -88)) + 7.
-32
What is the value of -6 + (12 - 10) - -5?
1
What is the value of -12 - (5 + -13) - 8?
-12
-4 + -1 + 11 + 2 + 3
11
Evaluate -27 + 5 - -14 - (7 - (0 + 0)).
-15
1 + -8 + 3 + (-5 + 5 - 5)
-9
Calculate -15 + (-5 - (-7 + (-4 - -1))).
-10
What is the value of (5 + -2 - (-33 - -35)) + -4?
-3
What is -183 + 186 - (-5 + 3 + (-9 - -1))?
13
Calculate (-13 - 5 - 3) + 16.
-5
What is 4 - (-20 + (3 - (2 - 6)))?
17
Evaluate -1 + 1 + -108 + 101.
-7
12 + -21 + (-1 - 15) + -4 + 1
-28
Calculate -35 + 35 + (5 - (-1 - (-1 + 12))).
17
Calculate (1 - 8) + -1 + (-7 - -14).
-1
What is the value of 22 - (-4 - (9 - 47))?
-12
Calculate -2 + (-1 - 3 - (-2 - 9)) + 5.
10
(-10 - (-9 + (5 - 0))) + -6
-12
Evaluate (-1 + -1 - -2) + (25 - 34) + 18.
9
Evaluate 4 + (-1 + -2 + 3 - (6 + -7)).
5
Evaluate (50 - (20 + 6)) + -19.
5
254 + -245 + (-11 - -1)
-1
What is -1 + -13 + -94 + 95?
-13
What is the value of 1 + -8 - (-42 + 29 - 3)?
9
Calculate 2 - 17 - (-11 + 13 + -10).
-7
Calculate 1 - ((-10 - -15) + -20).
16
What is 9 - (1 + -13) - 15?
6
What is 12 + 3 + -7 - 20 - -1?
-11
Calculate (-19 - -23) + -2 + -7.
-5
What is the value of 23 - (16 + -14) - 17?
4
Evaluate -25 + (-3 - -3 - 4 - -4).
-25
Calculate 10 + -12 - (-7 + -17 + 0 + -3).
25
What is (-19 - -40) + -19 + (0 - -23) - -2?
27
What is the value of -3 + (9 - (5 - (-1 + 5))) + 5?
10
What is the value of -1 + -2 - (53 - 51)?
-5
Evaluate -661 - -663 - (-1 + 19).
-16
What is the value of (82 - 56) + (-27 - -5)?
4
(14 + -15 - (-1 + -1 - 1)) + 5
7
Evaluate -6 + (30 - -2) + -26.
0
-6 - (29 + 10 - 37)
-8
Calculate 7 + 0 + -10 + (-2 - -3).
-2
(12 - 2 - 20) + (-4 - 0 - -35)
21
Evaluate 1 + (-15 + -7 - -20).
-1
(-7 - 1) + -78 + 104 + -8 - 6
4
Evaluate (7 - 4) + -2 - (1 + 5 + 2).
-7
What is the value of (10 - 18 - 2) + -3 + -1?
-14
Calculate 0 - -11 - (11 + (-9 - (4 - 5))).
8
What is 1 + (0 - -5) + (-3 - (-18 - -5))?
16
Evaluate -22 + 25 + (-1 - 4) - 1 - 2.
-5
What is (1 + -4 - (-10 + 0 + 11)) + -10?
-14
Calculate -3 + -1 + -7 + -4 + 10 + -5.
-10
29 - 48 - (26 - (-5 - -11))
-39
What is 8 + -22 + 6 + -1 + (17 - 43)?
-35
(5 - -8 - 25 - -3) + -7
-16
Evaluate -13 + -6 + -6 + 7 + (2 - -4).
-12
What is (-16 - (18 + -41)) + -10 + 0?
-3
What is the value of 7 + (3 - ((-6 - 3) + 5))?
14
What is 8 + -10 + -1 + 7 + 16?
20
Calculate -2 + (9 - (-6 + 7) - 2).
4
What is the value of (7 - 5) + -5 + 0 + -8?
-11
(-11 - 33) + 17 + (0 - 3)
-30
Calculate -15 - (16 - 18) - -10.
-3
What is (4 - -10) + 3 + -1 + 41 + -45?
12
Calculate -1 - (1 - 10) - (-26 + 33).
1
What is the value of -2 + 0 + 283 + -262?
19
-1 - -2 - (-10 - (-17 - -7))
1
Calculate 274 + -276 + (-1 - -1) + -4 - 2.
-8
What is the value of (-7 + 0 - -1) + -9 + (69 - 63)?
-9
What is -1 + 1 - (-156 - -149)?
7
(-64 - -30) + 29 - (1 + 2)
-8
Calculate (0 - (-4 - 4 - (8 + -11))) + 11.
16
What is 63 + (5 - 38) + -25?
5
Calculate 5 + (-3 - 8 - -29) + 3 - 8.
18
Evaluate -32 + 27 - 1 - -22.
16
Evaluate 6 + 14 + -23 - (2 - (-1 - -6)).
0
What is the value of -12 + (-3 - -10 - (-10 - (12 + -24)))?
-7
Evaluate (11 - 3 - (-10 + (-8 - -8))) + 9.
27
Evaluate (-6 - 1 - -4) + (-46 - -36).
-13
Evaluate -3 + (0 - (0 - (-3 - -9 - 9))).
-6
What is -3 + 6 + (-17 - (0 + 6 + -9))?
-11
What is 9 - ((12 - (43 + -12)) + 3)?
25
Calculate -5 + -5 - (-11 - 2).
3
-42 - (-35 + 9 + -11)
-5
What is -23 + 6 + -4 - (6 - 16)?
-11
What is the value of (0 + 8 - -2) + 6 + (-2 - 6)?
8
Evaluate 8 + (-36 - (-23 + -4 + 8)).
-9
Calculate -1 + -2 - (-1 - (24 + -15)).
7
Calculate 1 - (1 + 1 - -5) - (18 - 9).
-15
What is the value of -8 + (-6 - 0) + 4 + 4 + -9?
-15
(31 - (25 + -14)) + -10 - (0 + 6)
4
What is the value of 12 - (-2 + (30 + -2 - -16))?
-30
What is 1 + (8 - 1) + -227 + 220 - 26?
-25
Evaluate 18 - (-3 - (-28 - -15)).
8
What is the value of -1 + -4 + -1 - (-2 + 8 - 6)?
-6
Calculate 3 + (-23 + 15 - -3) - -28.
26
What is the value of (2 - -6) + (-6 - (3 + 0)) + 16?
15
What is the value of -11 + -8 + 17 - -18?
16
What is (90 - 91) + 2 + 0?
1
Calculate -20 + (-7 - -11) + 4.
-12
What is (24 - -1) + (-70 - (-34 - 41))?
30
What is the value of 13 + ((4 - 0) + -3 - (20 + -21))?
15
What is the value of -29 + (25 - 3) + 18?
11
What is the value of -2 + -1 - (0 - (16 + 6) - -9)?
10
What is -1 + 7 + -10 + -6?
-10
What is the value of 4 - 2 - -1 - (-7 - (15 + -5))?
20
Evaluate -22 + 1 + 0 + 10 + -3 + 3.
-11
Evaluate 4 + (8 - (19 + 9) - (-2 - -5)).
-19
What is 52 + -63 - (2 - 0)?
-13
Evaluate 5 + -15 + 31 + -4.
17
11 + (0 - 11 - (-16 + -11 + 10))
17
What is the value of -18 - (-67 - -82 - (15 - 2))?
-20
Calculate (43 + -1 - -2) + -29.
15
What is the value of -566 + 603 - (1 - -23)?
13
Evaluate 45 + -22 + -3 + 11.
31
Calculate (2 - 9) + (2 + -1 - (12 - 5)).
-13
(-3 - 0) + (26 - 24) - -4
3
Calculate 37 - (-31 - -8 - -48).
12
-49 + 59 - (1 - -7)
2
Evaluate 84 + -54 + -5 + 0.
25
Calculate 5 - 17 - 19 - -60.
29
-117 + 124 + (2 - 24 - (0 - -1))
-16
Evaluate 1 - ((-351 - -309) + (0 - -14)).
29
What is (13 - 5) + 23 + -41?
-10
What is the value of (16 - 3) + -14 + (-3 - 1) - 0?
-5
What is (-8 - 1) + (2 + 1 - 0)?
-6
What is 1637 + -1617 - (-1 - -29)?
-8
Evaluate -3 - (25 + (-1 - 0)) - (-372 - -373).
-28
What is the value of 2 + -1 + (6 - 2) - -7?
12
-19 + 1 + 296 + -283
-5
10 + -12 + -2 + 2
-2
What is the value of -36 + 30 + (5 - (1 - -12))?
-14
What i
|
{
"pile_set_name": "DM Mathematics"
}
|
e -x = -k*x + 18. Determine u(x).
-4
Let c(g) = -45*g**3 - 13*g**2 + g - 1. Let q(k) = -14*k**3 - 4*k**2 + 1. Let d(h) = 5*c(h) - 16*q(h). Give d(3).
-42
Let t(v) = -15 + 36 - 22 - 4*v. Let n be (-1 + 0)/(((-10)/42)/5). Let m be (-12)/(-14) + 3/n. What is t(m)?
-5
Let y be ((-10)/6)/((-165)/1089). Let i be y/385*125 - 4/7. Let l(w) = -w**3 - 2*w**2 + 1 - w**2 + 5*w**2 + w. What is l(i)?
-5
Let z(j) be the second derivative of -j**4/12 - 4*j**3/3 + 8*j**2 - j + 4796. Determine z(-3).
31
Let w(u) = -u**3 + 2*u - 1. Let m(o) = 3*o**3 + 2*o**2 - 2*o. Let z(s) = m(s) + w(s). Determine z(1).
3
Let j(d) = -12*d + 11. Let q(r) = 20*r - 144. Let o be q(7). Let p(t) = -6*t + 6. Let b(x) = o*j(x) + 7*p(x). Give b(-3).
-20
Let v(g) = g**3 + g**2 - 2*g - 3. Let z(o) = 2*o**2 + 2*o - 2. Let k(u) = -v(u) + z(u). Suppose -2*l + 4*r = 22, 0 = -3*r - 0*r + 12. What is k(l)?
25
Let j(q) = q**2 + 4*q - 48. Let s(t) = -t**2 - 187*t + 3257. Let k be s(-203). What is j(k)?
69
Let l(k) be the first derivative of k**3/3 + 9*k**2/2 - 6*k + 5. Let r(s) = s**2 + 17*s + 18. Let w be r(-16). Let z be w/(30/27)*-5. What is l(z)?
-6
Let w(f) = 18 - 114 - 1797*f + 907*f + 897*f. What is w(24)?
72
Let n(c) = -7*c + 45*c**2 + 104*c**2 - 11 - 150*c**2 - 17*c. Calculate n(-20).
69
Suppose 0 = -4*p - 5*q - 5, -4*p - 4*q - 5 = 3. Let s(k) = -2*k**2 - 5*k - 19. Let z(d) = -d**2 - 3*d - 10. Let n(x) = p*z(x) + 3*s(x). Give n(0).
-7
Let i(a) = -a**2 + 7*a - 3. Let d be i(1). Let f(j) = -12 - d - 2*j + 24. What is f(7)?
-5
Let q(n) be the second derivative of -3*n**5/5 - n**4/4 + n**3/6 + 3*n**2/2 - 169*n - 4. Determine q(1).
-11
Suppose 2*r = -r. Let h(x) = -x**3 + x - 15. Let n(a) = 1. Let v = -316 + 310. Let s(c) = v*n(c) - h(c). Determine s(r).
9
Suppose -25*a = 38*a + 2*a + 130. Let x(c) = -2*c**3 + c**2 + c - 2. What is x(a)?
16
Let d(f) = -2*f**2 + 10*f - 7. Let l = -71 + 555. Let h = -478 + l. Give d(h).
-19
Let v be -1*5/6 - (87/(-18) - -6). Let d(z) = -z**2 + 9*z + 20. Calculate d(v).
-2
Let w(p) be the first derivative of 1/3*p**3 + 8*p - 7/2*p**2 + 24. Let a(l) = -8*l - 10. Let t be a(-2). Determine w(t).
2
Let u(a) = -5*a - 222. Let g be u(-40). Let j be (-23 - g)/(1/(-7)). Let p(f) = -f**2 + 5*f + 10. Calculate p(j).
-4
Suppose -4*p + 18 + 173 = -3*v, 3*p + 2*v - 156 = 0. Let u = p + -50. Suppose 5*i - i - 20 = u. Let r(d) = -d**2 + 6*d + 4. What is r(i)?
9
Let u(q) = -3*q - 10. Let j(n) = 2*n + 6. Let a(x) = -8*j(x) - 5*u(x). Calculate a(-6).
8
Let u(y) = 27*y**2 - y + 2. Let s(i) = 27*i**2 - 2*i + 3. Let g(d) = 2*s(d) - 3*u(d). Let z(t) = -17*t - 137. Let q be z(-8). Determine g(q).
-26
Let d(u) = -25 + u**3 + 8*u + 13*u + 4*u**3 + 8*u + 17*u**2 - 4*u**3. Determine d(-15).
-10
Let i(u) = -59805 + 21*u**2 - 3*u - 14*u + 59751 - u**3. Determine i(20).
6
Let q(d) = 208*d - 2 + 182*d - 6*d**2 - 392*d. Calculate q(-1).
-6
Let p be (-5)/(-6)*(-73 - -67) - (48 - 5). Let m(q) = -q**2 - 44*q + 197. Determine m(p).
5
Let y(d) be the third derivative of -d**4/8 + 10*d**3/3 - 26*d**2 + 71. Calculate y(8).
-4
Suppose -46*j = 226 + 188. Let y be 2/j - 1184/(-144). Let l(v) = -v**2 + 12*v + 5. Determine l(y).
37
Suppose 5*l + 4*a = 67, -5*a + 4*a = -4*l + 41. Let p(s) = 23*s - 9. Let y be p(12). Let m(w) = -265*w + y*w + l + 1. Calculate m(-9).
-6
Suppose -3*b + 5 = -4*h, 5*b = b - 2*h + 36. Let u(q) = -2*q**3 + 13*q**2 + 6*q - 4. Calculate u(b).
-11
Let i(v) = -19*v - 30. Let k(h) = -22*h - 30. Let c(s) = -5*i(s) + 4*k(s). What is c(-9)?
-33
Let p(w) = -2*w**2 - 11*w + 13. Let k be p(-9). Let s = 51 + k. Let h(v) be the second derivative of v**3 - v**2/2 + v. Determine h(s).
5
Let a = -2513 - -2513. Let z(u) = u**3 - 2*u + 6. What is z(a)?
6
Let t(o) = o**3 - 10*o**2 - o + 13. Suppose -9*l = -5*l - 40. Let v be t(l). Let q(n) = n**2 + 4 - v*n - 4 - 1. Calculate q(-2).
9
Let h(a) = 5*a**2 - 2*a - 6. Suppose -82 - 42 = 31*n - 0*n. What is h(n)?
82
Let v(a) = 2655*a - 28. Let y be v(9). Let c(p) = -3*p + 23864 - p**2 - y + 11*p. What is c(9)?
-12
Let w = -405 - -412. Let n(a) = -17*a + 2 + w*a - 7 + 8*a. Calculate n(5).
-15
Let t = 3955 + -3950. Let h(p) be the second derivative of -p**5/60 + p**4/6 + p**3/2 + p. Let y(x) be the second derivative of h(x). Give y(t).
-6
Let v(y) = y**2 + 10*y + 8. Let b(s) = -4*s - 7. Let u(f) = -4*f - 7. Let h(j) = -2*b(j) + 3*u(j). Let c be h(-4). Let t be 2*12/c*(0 + -3). Give v(t).
-8
Let s(y) be the first derivative of -y**3/3 - 7*y**2/2 + 13*y - 16368. Let j = 5 - 14. Give s(j).
-5
Let n(d) = d**3 + d**2 - 12*d + 1. Let w(j) = 0*j**2 + 1 + 0 + 10*j - 2 - j**2 - j**3. Let s(i) = 5*n(i) + 6*w(i). Give s(-1).
-1
Let y(t) be the first derivative of -4*t - 5*t**2 - 1/3*t**3 - 59. Calculate y(-9).
5
Let o(l) = 197*l - 750 + 146*l + 756 - 339*l. Let q(p) = -p. Let k be q(4). Calculate o(k).
-10
Let c(i) = -9172*i - 9202*i + 18376*i - 5*i**2 - 1. Give c(1).
-4
Let b be (12 + 483/(-42))/((-1)/8). Let p(s) = -s**2 + 7*s + 21. Give p(b).
-23
Let r(h) = -2*h**2 - 6*h + 167. Let y(z) = -z**2 - 3*z + 88. Let i(q) = 7*r(q) - 13*y(q). Determine i(-8).
-15
Suppose v - 5*v + 40 = q, 0 = -4*v - 2*q + 40. Let z be (5 - 3)*5/v. Let s(o) = -11*o**2 - 3*o + 2. Give s(z).
-12
Suppose -2*a = 4*q + 6, 2*q - 5 = -11. Let w(o) be the second derivative of -5*o**3/6 + 2*o**2 + 8*o. Calculate w(a).
-11
Let f(z) = -9*z**2 - 21*z + 16. Let p(k) = -7*k**2 - 15*k + 14. Let x(d) = 4*f(d) - 5*p(d). Determine x(-11).
-28
Let y(n) = -n**3 + 6*n**2 - 3*n + 1. Let m = 61 + -58. Let v(r) = -r**2 - 1 + 5*r - 1 - 279*r**3 + 278*r**3 + m*r**2. Let i be v(3). Determine y(i).
21
Let n = 374 - 363. Suppose 2*b = 4*a - 10, 9*a = 2*b + 4*a + 14. Suppose -5*i + 50 = 5*m, -b*i + n = -i - m. Let g(c) = c - 1. What is g(i)?
6
Let q(x) = -558488 - 10*x + 558413 - 5*x. What is q(-5)?
0
Let g be ((-21)/18)/(4/(-24)). Let i be (3/4)/(g/84). Let h(w) = w - 2*w - 2*w + i*w. Give h(1).
6
Let n(s) = 5*s**3 - 21*s**2 - 18*s - 11. Let m(i) = 3*i**3 - 6*i**2 + 2*i + 1. Let j(q) = -2*m(q) + n(q). Calculate j(-6).
11
Let q(s) = -7*s + 3. Suppose 3*x = 2*d + 2, 0 = 63*d - 58*d - 5*x - 10. Calculate q(d).
-53
Let c(j) = -j**3 - 9*j**2 - j - 13. Let w be c(-9). Let h(r) = 6*r + 1565*r**3 - 813*r**3 - 753*r**3 + 6 - 3*r**2. Give h(w).
-2
Let p(l) be the second derivative of l**3/3 - 97*l**2/2 - 4905*l. What is p(32)?
-33
Let a(k) = -2*k + 1555 + 1562 + 1415 + k**3 + 3*k**2 - 4526. Suppose 2*h = 3*y + 7, -4*h + h + 3*y + 3 = 0. Give a(h).
-2
Let w(q) = -q**2 - 20*q - 72. Let g be w(-5). Let m(h) = 11*h**2 - 2 + h**3 - 8 + g + 6*h - 18*h**2. Determine m(6).
-7
Let g(a) be the first derivative of 1/3*a**3 + 94 + 28*a + 0*a**2. Give g(0).
28
Let a(f) = -2*f**2 - 222*f - 215*f + 2 + 626*f - 206*f + f**2. Calculate a(0).
2
Suppose 12*n = 10*n + 4. Let x(c) be the first derivative of -3*c**2/2 + c + 895. Determine x(n).
-5
Let f(j) = -j**3 - 3*j**2 + 10*j + 2. Let h be f(-5). Let k(q) = 1 + 5 + 4*q - q**h - q. Let z be k(5). Let b(w) = -w**3 - 6*w**2 - 6*w - 1. Give b(z).
-9
Let m(f) = -35*f + 2188. Let t(x) = 6*x - 360. Let h(g) = -2*m(g) - 13*t(g). Determine h(38).
0
Suppose 240 = -14*k - 26*k. Let p(r) = r**3 + 7*r**2 + 8*r - 1. What is p(k)?
-13
Let l(p) = p - 3. Let o(d) = 3*d**3 + 16*d**2 + 9*d + 5. Let i be o(-5). Calculate l(i).
-18
Let m(n) = 332 + 13*n - 165 - 159. Calculate m(-2).
-18
Let q(k) = -k**3 + 27*k**2 + 58*k - 7. Suppose -5*p = 4*a - 133, -5*p + 5*a = 155 - 315. Calculate q(p).
-7
Let u(h) = -h**2 - 3*h - 2. Let x be u(-2). Let j(m) be the third derivative of 0 + 87*m**2 + 0*m**4 - 1/3*m**3 + 0*m + 1/60*m**5. Give j(x).
-2
Suppose 9 = 3*t, 5*t = 3*l + 2*l. Suppose l*g = -c + 18, -5*g = 5*c - 30 - 10. Suppose 0*d = g*d - 45. Let w(p) = -p + 11. Determine w(d).
2
Let j(z) = z**2 - 6*z - 18. Suppose 0 = -20*r + 339 - 179. Give j(r).
-2
Suppose 61*r + 172 + 367 = -16*r. Let v(w) = w**2 + w - 45. What is v(r)?
-3
Let x be (639/3 + 0)*(-28)/(-21). Let b be (-3)/2 + x/8. Let f = 29 - b. Let v(a) = a**2 + 2*a + 4. Give v(f).
19
Let n(g) = -4*g - 6. Suppose -o = -5*o + 2*l + 14, -12 = -5*o - 3*l. Let i(z) = -z - 695 + 695 + 2*z. Let d(s) = o*i(s) + n(s). Give d(0).
-6
Let i(y) = -4*y + 193. Let o be i(50). Let z(v) = v - 3. Let g(x) = -5*x + 13. Let b(t) = -2*g(t) - 9*z(t). Calculate b(o).
-6
Let q(t) = 47 +
|
{
"pile_set_name": "DM Mathematics"
}
|
j (c) -0.5
c
Let l = -12 + 12. Suppose l + 8 = 4*k. Let u = 46 - 49. Which is the smallest value? (a) k (b) u (c) -6
c
Let d be 3/(84/(-68)) - -3. Let a(b) = 8*b - 172. Let g be a(21). What is the second smallest value in -0.1, d, g?
-0.1
Let z = -2.129 + 0.019. Let w = 2.2 + z. Let j = 0.59 - w. What is the third smallest value in j, 3, -3/5?
3
Let l = -0.4 - -0.31. Let z = l - -1.79. Let j = 2.1 - z. Which is the second biggest value? (a) 1/2 (b) 0.02 (c) j
c
Let r be ((-11)/4 + 2)/(-3). Let n = -64.94 + 65. What is the third biggest value in n, r, -4?
-4
Let r = -441.8 + 442. What is the second biggest value in r, 75, -1/5?
r
Suppose 0 = 10*p + 418 - 118. Let w be (-10*5/p)/1. Which is the second smallest value? (a) w (b) -0.5 (c) 3 (d) 4
a
Let s = -9.82 - -9.69. What is the fourth biggest value in s, -2, 2, 3?
-2
Suppose -35*q + 5*a = -33*q + 15, -20 = -q - 3*a. Let f = 10 - 14. What is the biggest value in q, -1/3, f?
q
Let d = 35 - 37. What is the fourth biggest value in d, 1/10, -0.5, -1/8?
d
Suppose -5*o = 42 - 257. Let n = 39 - o. Which is the second smallest value? (a) 0.24 (b) -3/2 (c) n (d) 1/6
b
Let i = 3 + -1. Let a = i + -6. Let s = 5 + a. What is the smallest value in -0.1, -4, s?
-4
Let z = -12.6 - -13. Let r = -0.21 + 0.01. Let u = r + -0.8. Which is the second biggest value? (a) 2 (b) z (c) u
b
Let j = -2584 + 2587. Which is the fourth biggest value? (a) -4 (b) 0.3 (c) 58 (d) j
a
Suppose -1 - 11 = -4*s. Which is the biggest value? (a) 4 (b) s (c) 1/3 (d) -0.3
a
Let n = -1078 - -1044. Which is the biggest value? (a) -5 (b) -1/8 (c) n (d) -3
b
Let q = -316.4 + 317. What is the second smallest value in -5, q, 6?
q
Let u = 3.01 - 3. Let k = -57.3 - -61.3. Which is the second smallest value? (a) u (b) k (c) -0.2
a
Let l(k) = -k**3 - 8*k**2 + 21*k + 14. Suppose 7*p = 16*p + 90. Let g be l(p). Which is the third smallest value? (a) 3/7 (b) g (c) 3
b
Let i = -798.9 - -799. What is the second biggest value in i, -0.01, 6/7?
i
Let p = 5 - 5.12. Let w = -2.12 - p. Let z = w - -6. Which is the biggest value? (a) 1/3 (b) -3 (c) z
c
Let y be (38/16 - 2)*(-117)/(-351). Let r = -3.8 - -6.9. Let q = r - 0.1. What is the second smallest value in q, -4, y?
y
Let m be 8/(-2)*(-1)/(-14). Let p = 0 - 2. Let l = -1333 - -1330. What is the smallest value in l, p, m?
l
Let f = 139 + -136. What is the third smallest value in -4, -1, f?
f
Let x(h) be the second derivative of -h**4/12 - 5*h**3/3 + 15*h**2/2 - 18*h. Let k be x(-11). Which is the smallest value? (a) k (b) -28 (c) 3
b
Let o = -0.1 - -5.1. Let s = o - 3. Let x = s - 1.7. What is the biggest value in x, -3/2, 3/4?
3/4
Let v = -0.8 + -3.2. Let q = -0.5 - -8.7. Let f = q + -8.1. Which is the third biggest value? (a) 2 (b) f (c) v
c
Let m = 6.4 + -2.5. Let u = 5.9 - m. What is the second biggest value in 3/7, -3, u?
3/7
Let i = 74 - 73.5. Which is the biggest value? (a) i (b) 4 (c) -0.05
b
Let z(t) = -2*t**3 + 5*t**2 - 3*t + 10. Let x be z(6). Let k be 90/x - 2/(-4). Let r = -12 + 8. What is the second biggest value in 4, k, r?
k
Let f = 97 - 102. Let v = -5 - -6. What is the second smallest value in f, v, 2, -0.2?
-0.2
Let w = 191 - 190.7. Which is the second biggest value? (a) w (b) -2 (c) 0.5
a
Let o = 1.9788 - -0.0212. What is the second smallest value in -2/5, o, -18?
-2/5
Let p = 43.8 - 46. Let v = 2.6 + p. Let q = 0 + 0.3. What is the third biggest value in -4, q, v?
-4
Let w(b) = -1. Let s(v) = -6*v - 17. Let k(c) = s(c) + 2*w(c). Let o be k(-4). Let h be (2 + 3/(-2))/2. What is the second biggest value in o, h, -0.3?
h
Let o = -1307.8 + 1308. What is the third biggest value in o, -222, -0.2?
-222
Let k(m) = -m**3 - 10*m**2 - 8*m + 5. Let j be k(-9). Let s be ((-15)/12 - 0) + 1. Which is the third smallest value? (a) 0.3 (b) s (c) j (d) 2/13
d
Let r be 0 + 102/(-33) + 3 + 0. What is the third biggest value in r, 6.94, 0.5?
r
Let u = 3670 - 3675. Let w = 3 - 3.5. Which is the smallest value? (a) w (b) 4 (c) u (d) -10/7
c
Let h = 234 - 2104/9. Let f be -1 + 2 - 0 - 1. Let k = -16353 + 16356. Which is the third biggest value? (a) k (b) h (c) f
c
Suppose 3*v - 16 = -13. Let l be 6 + 1*(-3 - 0/(-3)). Which is the fourth smallest value? (a) -5 (b) l (c) v (d) 13
d
Suppose 15 = -7*n + 2*n. Let h = 1084 - 14094/13. Which is the fourth biggest value? (a) -0.4 (b) h (c) n (d) 1
c
Let l = 24.9 - 4.9. Let y = l + -20.2. Let i = -122/7 - -1328/77. Which is the smallest value? (a) y (b) i (c) 1/5
a
Suppose -8*w + 6*w - 6 = 0. What is the fourth biggest value in w, 4, -0.3, -0.16?
w
Suppose 3*q + 26 = 5*u, u + 4*q - 19 = -0*u. Suppose u*k = -0*k + 28. Let s = -4.4 + 4. Which is the third biggest value? (a) k (b) 6 (c) s
c
Suppose 0 = -3*d - 0 - 9, -4*y + 2*d = -42. Suppose -b + s = 3*b + 3, -4*s - y = 5*b. What is the smallest value in b, -0.2, -0.5?
b
Let a = -10 + 3. Let n = a - -13. Let z = -7 + n. What is the third biggest value in z, -2/7, 0.2?
z
Let t = 10 - 112/11. Which is the second biggest value? (a) t (b) -0.4 (c) -4/5
b
Let d = 1.7 - -1.1. Let u = d + -2.8. Let q = -6 - -11. Which is the second biggest value? (a) q (b) u (c) -1
b
Let c = 23.1 + -21. Let v = c - 0.1. What is the second biggest value in 1/2, v, 1?
1
Let l = 3/55 + 2/55. Let w = 30 - -114. Let s = -1006/7 + w. Which is the second biggest value? (a) -5 (b) l (c) s
b
Let i(p) = -p**3 + 8*p**2 - 2. Suppose 2*f - 12 = 4. Let x be i(f). Which is the second biggest value? (a) 3 (b) -1/9 (c) x
b
Suppose -4*b = 2*n + 18, 5*n = 2*b + b - 6. Let h = -28.72 + 4.73. Let m = 24 + h. What is the third biggest value in b, 4/5, m?
b
Let d = 172 + -167.05. Let y = d - -0.05. Suppose -4*f + m = -19, -5*m + m - 12 = 0. Which is the second smallest value? (a) y (b) f (c) -10
b
Let u be 34*1/10 + -3. Let c be (-1)/(3 + 13/(-4)). Let x = c + -4. What is the second smallest value in -2/9, u, x?
x
Let h be (3/2)/((-101)/(-8) + -10). What is the biggest value in 3, 2/9, h?
3
Let h = -226 - -228. Which is the smallest value? (a) -5 (b) h (c) 3 (d) 26
a
Let d = -49 + 67. Suppose 4*i + 5*w = -36, -3*i - d = w - 2. Let y = 4 - 2. What is the smallest value in i, -0.6, y?
i
Suppose -6 = -17*x - 36 - 4. Let r = 4.94 - -0.06. Which is the second biggest value? (a) r (b) x (c) 1/4
c
Let d = 2392 + -2391.7. Suppose v - 2*v = -3*n - 36, -5*v + 5*n + 170 = 0. Let y be 9/v*2/(-3). Which is the second smallest value? (a) y (b) d (c) -2
a
Let f = -4.8 + 8.8. Which is the second biggest value? (a) f (b) -2 (c) -8/31
c
Let d = 1.7 + -0.9. Let n = -4.8 + d. Let g = -1 + n. What is the second smallest value in -6, g, 2?
g
Let j = -11 + 10.7. Let m = -4 + 5.6. Let s = m - 1.6. Which is the third biggest value? (a) j (b) s (c) -3
c
Suppose 4*t = -2*k + 3*k + 19, 0 = 3*k - 4*t + 17. Let x = -115 + 242. Let v = 127 - x. Which is the second smallest value? (a) v (b) k (c) 2/13
c
Let c = 52 - 51.83. Let p = c - 0.57. What is the fourth biggest value in 5, 6, p, 0.5?
p
Let u = 1/527 - 534/3689. Which is the smallest value? (a) 3/100 (b) u (c) -2 (d) 1/6
c
Suppose 4*o = -c - 1, 0 - 4 = -4*o. Let x = -1.1 + 0.2. Let a = x - -0.9. What is the third biggest value in a, c, 3/5?
c
Let m = 0.00256 - 0.00256. Let v = 28 - 141/5. What is the third biggest value in -1, m, v?
-1
Let x = -1075 - -1074. Which is the second biggest value? (a) -3/5 (b) 3 (c) x (d) 2
d
Suppose 2*y = 4*i + 28, 3*y = -5*i - 9 - 4. What is the smallest value in -1/8, -8, i?
-8
Suppose -2*i + 5*n = -137, i - 329 = -4*i - n. Let y = i + -67. Let d = 0.1 - 0.4. Which is the biggest value? (a) -4/5 (b) d (c) y
b
Let n = 141 - 139. Let a = 285/2152 + -2/269. What is the smallest value in n, a, -18?
-18
Suppose 0 = 15*u + 13*u - 26*u. What is the smallest value in 7.5, 2/13, u?
u
Let v = -4.955 - -4.455. Let s = -2.5 + 3. Let i = s + 0. Which is the third smallest value? (a) v (b) i (c) 0
b
Let k = -2/251 - 1484/2761. Which is the biggest value? (a) k (b) -4 (c) 2/7 (d) -7
c
Let s = -419/55 + 39/5. Let b = 15.884 + 0.216. Let p = 16 - b. What is the second biggest value in s, p, 0.06?
0.06
Let m = 1 - -1. Let y be -1*(0 - -6)*(-6)/24. Which is the second smallest value? (a) m (b) -
|
{
"pile_set_name": "DM Mathematics"
}
|
. Let c = -28 + 31. Suppose 5*f - c*y - 31 = 22, -5*f + 5*y + 45 = 0. Calculate the greatest common divisor of f and h.
13
Let t be 46/(-5) + 4/(-5) + 1. Let z be 60/(-4 - t) + 1/1. Suppose 32 = -2*p + 214. Calculate the greatest common divisor of z and p.
13
Suppose -135 = 2*b - 159. Calculate the greatest common factor of b and 32.
4
Suppose 3*b = 3*a - 36, a + 0*b = -b + 12. Suppose -y + 10 = -20. What is the highest common divisor of a and y?
6
Suppose 5*b - 115 = -5*f, -5*b + 85 = 3*f + 20. Let w = 43 - f. What is the greatest common divisor of 2 and w?
2
Let u be 435/(-3 + (-18)/(-4)). Let q be 28/(-8)*29*(-2)/7. What is the highest common divisor of q and u?
29
Let w be 1573 - ((-60)/(-5) + -7). What is the highest common divisor of 49 and w?
49
Suppose -3 = y, y - 2*y = -x + 29. Let a(f) = 20*f - 31. Let j be a(6). Let v = j + -37. Calculate the greatest common divisor of v and x.
26
Let g be 20/4 + -2 - -5. Suppose -g*p = -3*p - 15. Suppose -m - p*j = -6*m + 1248, 0 = 5*j - 20. Calculate the greatest common divisor of 28 and m.
28
Let d be -6*1*(175/14 - -7). Let r = -75 - d. Calculate the greatest common divisor of 24 and r.
6
Let t(a) be the first derivative of -2*a**2 - 13*a - 12. Let s be t(-5). What is the highest common divisor of 49 and s?
7
Suppose 0 = 2*l - 156 + 36. Suppose 0 = 5*p - 30 - l. What is the greatest common divisor of p and 72?
18
Suppose -9*j = 7*j - 4320. What is the highest common divisor of j and 10?
10
Let d be 3/2*58*95/285. What is the greatest common divisor of d and 290?
29
Let s be 2108/12 + 14/(-21). Let k = 80 - 55. Calculate the highest common divisor of s and k.
25
Let w be (-83176)/(-1036) - (-2)/(-7). Calculate the greatest common divisor of 144 and w.
16
Suppose 3*c = 5*x - 25, -4*x + 15 = 5*c - x. Let n(y) = -5 - 2 - 4 + c + y**2 - 2*y. Let w be n(9). What is the greatest common factor of w and 13?
13
Let z(j) = 3*j**2 + j - 26. Let c be z(6). What is the greatest common divisor of c and 33?
11
Suppose -3*t + r + 100 = 0, -3*t - 3*r = t - 116. Let z = t + -31. Let v be (-36)/(-27)*z*9. What is the highest common divisor of v and 72?
12
Let j = 7 + 0. Suppose 2*s = 4*u - 20, 4*u + s + j = 21. Calculate the greatest common divisor of u and 16.
4
Suppose 4*n - 310 = -q + 1683, 2487 = 5*n - 3*q. Calculate the greatest common factor of 6 and n.
6
Let r(g) = 18*g + 4. Let i be r(1). Let h = -19 + i. Calculate the highest common factor of h and 6.
3
Let y(l) = -l**2 + 11*l - 10. Let m be y(10). Suppose m = -9*p + 6*p + 90. Calculate the highest common factor of p and 30.
30
Let c = -38 - -126. Let p(y) = -y**3 + 3*y**2 + 3*y - 2. Suppose 3 + 22 = 5*i, -4*l + 4*i = 12. Let q be p(l). What is the greatest common factor of c and q?
8
Suppose 0 = -0*k + k + 2*q - 544, 4*k - 2158 = q. Suppose 0*i - 5*i = -k. What is the highest common factor of i and 12?
12
Suppose d - 13 - 12 = 0. Let b = d - 22. Calculate the greatest common factor of 33 and b.
3
Let x(k) = -k**2 + 36*k + 259. Let q be x(-6). Calculate the highest common divisor of 2 and q.
1
Suppose -49*m + 51*m - 192 = 0. Calculate the greatest common factor of m and 224.
32
Let y(b) = -22*b + 9*b + 7*b + 26 - 8 + b**2. Let x be y(4). Suppose 0 = 2*v - 0*v - 4. What is the greatest common factor of v and x?
2
Suppose -2*l + 3*s = -5, -2*s + 5*s = 5*l + 1. Let h be -22*l*(4 + (-15)/6). Calculate the highest common factor of h and 22.
22
Let m be 0 + ((-3)/(-4))/(2/8). Suppose m*s + 28 = 52. Calculate the highest common divisor of 88 and s.
8
Let f(s) = 28*s**2 + s - 1. Let c(n) = n**3 - 16*n**2 + 16*n - 14. Let v be c(15). Let h be f(v). What is the highest common factor of h and 7?
7
Suppose -5*k - 15 = 0, -k + 0*k - 12 = 3*i. Let j = 17 - i. What is the greatest common divisor of 50 and j?
10
Let l(x) = x + 1. Let f be l(6). Suppose 8*k - 191 = 257. What is the highest common divisor of k and f?
7
Let t(a) be the third derivative of a**5/60 - 5*a**4/24 + a**3/3 - 4*a**2. Let h be t(8). What is the highest common divisor of h and 52?
26
Suppose 0 = s + 5 + 2. Let t(l) = l**2 + 3*l - 18. Let z be t(s). What is the greatest common divisor of z and 10?
10
Suppose 101 = 3*v + 104, -m + 7 = -2*v. Let t be (-5)/(5/(-4)) - -1. Calculate the greatest common divisor of m and t.
5
Let c be 7/(-2)*(-3116)/574. Calculate the greatest common factor of 247 and c.
19
Let d = 1099 + -507. What is the greatest common factor of 48 and d?
16
Suppose -248 = -4*v - 4*q, 4*q + 53 + 59 = 2*v. Calculate the highest common factor of 160 and v.
20
Suppose -5*l + 3*k = -2*l - 60, -73 = -5*l - 4*k. Let x = 171 - 18. Calculate the greatest common divisor of x and l.
17
Suppose k + 49 = 137. Let a be (-2)/23 - -15*(-170)/(-230). What is the greatest common factor of k and a?
11
Let s(a) = a**3 + 7*a**2 + 2*a - 12. Let k be s(-6). Suppose 0 = 8*b - 4*b - 24. Calculate the greatest common factor of k and b.
6
Let d be 92/(-28) + 3 + (-19810)/(-49). What is the highest common factor of 4 and d?
4
Let d = 7 + 11. Let n = d + -15. Suppose -3*q = 5*l - 48, -n*l - 2*q + 30 = q. Calculate the highest common factor of l and 45.
9
Let y be 20*2/36*9. What is the highest common divisor of y and 40?
10
Let j = 57 + -36. Let s = -38 + 52. What is the highest common divisor of j and s?
7
Let n = -3 + 4. Let p = 12 + n. Suppose -6*y = -5*y, -3*b = -y - 351. What is the highest common divisor of p and b?
13
Let n = -1007 + 1599. Calculate the highest common divisor of n and 37.
37
Let t(o) be the second derivative of 13*o**4/12 + 2*o**3/3 + 3*o**2/2 + 35*o. Let s be t(-1). What is the greatest common factor of 372 and s?
12
Suppose -9*c = -18 - 0. Suppose -4*v - 85 = -5*j - 5*v, 3*v = -c*j + 21. What is the highest common divisor of j and 2?
2
Suppose -3*k - 2*r = -314, 3*k - 3*r = 490 - 151. What is the greatest common factor of k and 48?
12
Let k(f) = -35*f - 1. Let a be k(-1). Calculate the highest common divisor of 272 and a.
34
Suppose -2*f = -0*f - 594. Let l be 12/15 + 131/5. What is the greatest common factor of l and f?
27
Let n = 5067 - 3037. Calculate the highest common factor of 140 and n.
70
Suppose -3*p + 7*p = 32. Let l = p + -8. Suppose -2*r = y - 23, 2*r - r + y - 11 = l. What is the highest common divisor of r and 6?
6
Let v(k) = -k**2 + 11*k - 5. Let j be v(10). Suppose -j*o = a + 9, 0 = 3*a - o + 2*o - 43. What is the greatest common divisor of a and 48?
16
Suppose 0 = -68*f + 69*f - 221. Let x = f - 89. Calculate the highest common divisor of x and 44.
44
Let n(r) = -2*r**2 + 11*r + 55. Let x be n(7). Calculate the greatest common factor of x and 8.
2
Let g(h) = -17*h**2 - 2*h - 3. Let c be g(-2). Let n = 167 + c. What is the greatest common factor of 25 and n?
25
Let n = -16 + 331. Calculate the greatest common factor of n and 140.
35
Let x = 51 - 25. Let b = 2 + x. Calculate the greatest common divisor of b and 7.
7
Suppose 408 - 123 = 5*r. What is the highest common factor of 1824 and r?
57
Let x(k) = k**3 - 9*k**2 + 16*k - 8. Let i be x(7). Suppose -2 = -i*u + 5*u. Calculate the highest common factor of u and 2.
2
Suppose -71 = -4*w - u, 4*w = -0*u + 2*u + 62. Suppose -25*c + 384 = -w*c. Calculate the greatest common factor of 6 and c.
6
Let s = 1981 - 1976. Suppose -3*i + 1 = 7. Let y(n) = -10*n. Let r be y(i). What is the highest common factor of r and s?
5
Suppose 5*j = 5*q - 115, -4*j = 2*q - 16 + 90. Let u be 4/10 + -1 + (-892)/j. What is the highest common divisor of 110 and u?
22
Let q(j) = 2 - 2*j + 2*j + 4*j**2. Let l(d) = -2*d - 18. Let g be l(-8). Let x be q(g). Calculate the highest common factor of x and 2.
2
Suppose 29*b - 16*b - 3380 = 0. Calculate the highest common divisor of b and 20.
20
Let f be (-2)/10 - 4*174/(-30). Suppose 24*c - f*c = 22. What is the greatest common factor of 44 and c?
22
Let p = -35 + 65. Let h = p - 21. Let i be (-20)/(-90) - (-205)/h. What is the greatest common divisor of 23 and i?
23
Suppose -5*h + 383 = 2*p, 18*h - 23*h + 4*p + 389 = 0. Calculate the greatest common divisor of h and 44.
11
Let h be 89/7 - 2/(-7). Suppose 2*a - 936 = -7*a. What is the greatest common divisor of a and h?
13
Suppose 0 = -f + 1, 20*j = 18*j + 3*f + 87. Calculate the highest common divisor of j and 75.
15
Let s = -864 + 1616. Calculate the highe
|
{
"pile_set_name": "DM Mathematics"
}
|
-15935, -31854, -47775, -63698, -79623, -95550?
-111479
What comes next: -122729, -490896, -1104507, -1963562, -3068061, -4418004, -6013391?
-7854222
What is the next term in -375508, -375501, -375494, -375487, -375480, -375473?
-375466
What is the next term in 10037, 20071, 30105, 40139?
50173
What is next in -1191947, -2383895, -3575843, -4767791, -5959739?
-7151687
What is the next term in -636007, -1272015, -1908023, -2544031, -3180039, -3816047?
-4452055
What is the next term in -184922, -369843, -554764, -739685?
-924606
What is the next term in 47, -318, -933, -1804, -2937?
-4338
What is next in -1182, -5102, -11654, -20844, -32678, -47162, -64302?
-84104
What comes next: -676781, -676782, -676783?
-676784
What is next in -31256, -62475, -93694, -124913, -156132, -187351?
-218570
What comes next: -471680, -943359, -1415038, -1886717, -2358396, -2830075?
-3301754
What is next in -5, -362, -931, -1706, -2681, -3850, -5207, -6746?
-8461
What is next in 165, 308, 607, 1140, 1985, 3220, 4923, 7172?
10045
What is the next term in -7872, -7876, -7880?
-7884
What comes next: -8694, -8693, -8692, -8691, -8690?
-8689
What comes next: -41, -410, -1405, -3338, -6521, -11266, -17885?
-26690
What is the next term in -88806, -177613, -266420, -355227, -444034, -532841?
-621648
What is the next term in 56, -250, -558, -868, -1180, -1494, -1810?
-2128
What is the next term in 14, 67, 154, 275, 430, 619, 842?
1099
What comes next: -18779, -37555, -56331, -75107, -93883, -112659?
-131435
What comes next: -137192, -137190, -137188, -137186, -137184, -137182?
-137180
What is the next term in -317, -223, -67, 151, 431, 773?
1177
What comes next: 110783, 110784, 110785, 110786?
110787
What is next in 5849, 6040, 6233, 6428, 6625, 6824, 7025?
7228
What is the next term in -15, 115, 463, 1137, 2245, 3895, 6195?
9253
What comes next: 118, 316, 514?
712
What is the next term in 30356, 60714, 91076, 121442?
151812
What comes next: -49, 23, 193, 509, 1019, 1771?
2813
What is the next term in -15, -19, -27, -39, -55, -75?
-99
What is next in 4521, 36310, 122593, 290616, 567625, 980866, 1557585, 2325028?
3310441
What is the next term in -99, -90, -75, -54, -27, 6, 45?
90
What is next in 26325, 26368, 26411?
26454
What is the next term in -235, -244, -257, -274, -295?
-320
What comes next: -4719, -18828, -42339, -75252, -117567?
-169284
What comes next: -283, -532, -779, -1024, -1267, -1508?
-1747
What is the next term in 60, 320, 750, 1344, 2096?
3000
What is next in 2655, 5309, 7977, 10665, 13379, 16125?
18909
What comes next: 188, 220, 302, 458, 712, 1088, 1610, 2302?
3188
What is next in 442, 554, 666, 778?
890
What comes next: 87, 523, 1717, 4053, 7915, 13687, 21753, 32497?
46303
What comes next: 165166, 165165, 165162, 165157, 165150, 165141, 165130?
165117
What is next in 85150, 85149, 85148, 85147, 85146, 85145?
85144
What is next in 71, 324, 573, 818, 1059?
1296
What is next in -4811, -19209, -43207, -76805, -120003?
-172801
What is next in -64, -222, -370, -406, -228?
266
What is next in 59, 242, 511, 866, 1307, 1834?
2447
What is the next term in 1011476, 2022955, 3034434, 4045913, 5057392, 6068871?
7080350
What comes next: 93, 1145, 3997, 9549, 18701?
32353
What is next in -8736, -8753, -8770, -8787, -8804?
-8821
What comes next: 454, 547, 664, 817, 1018, 1279?
1612
What comes next: 3656045, 3656043, 3656039, 3656033, 3656025, 3656015?
3656003
What is the next term in 16834, 16813, 16794, 16777, 16762?
16749
What is the next term in 12125, 24256, 36385, 48512, 60637?
72760
What is next in -14565, -116483, -393099, -931761, -1819817, -3144615?
-4993503
What is the next term in 727, 409, -459, -2153, -4949?
-9123
What is next in -841626, -1683253, -2524880, -3366507, -4208134?
-5049761
What is next in 8284, 16634, 24984?
33334
What is next in 830, 998, 1166, 1334, 1502, 1670?
1838
What is next in 187, 276, 361, 442, 519, 592?
661
What is the next term in 1744, 1662, 1518, 1306, 1020, 654?
202
What is next in 5074, 10148, 15222, 20296, 25370, 30444?
35518
What comes next: 1563, 3151, 4777, 6459, 8215, 10063?
12021
What is the next term in -115, -267, -459, -691, -963?
-1275
What is the next term in -2, -91, -246, -461, -730?
-1047
What comes next: 2700, 2641, 2536, 2361, 2092, 1705?
1176
What comes next: 5629, 11268, 16909, 22552, 28197, 33844, 39493?
45144
What is the next term in 10615, 21223, 31831?
42439
What is the next term in -20, 17, 146, 409, 848, 1505?
2422
What is next in 348, 183, -90, -471, -960?
-1557
What is next in 821267, 1642541, 2463815, 3285089, 4106363, 4927637?
5748911
What is the next term in -46331, -92670, -139009, -185348, -231687, -278026?
-324365
What is next in 440, 733, 1024, 1313?
1600
What is next in -286, -2357, -8008, -19039, -37250, -64441, -102412?
-152963
What comes next: -39, -75, -103, -111, -87, -19, 105, 297?
569
What is the next term in 598, 1184, 1768, 2350, 2930?
3508
What comes next: -1676, -1714, -1778, -1880, -2032, -2246, -2534, -2908?
-3380
What is the next term in 4086, 8170, 12252, 16332, 20410, 24486?
28560
What is next in 10947, 10941, 10923, 10887, 10827, 10737, 10611?
10443
What comes next: 12815, 12904, 12995, 13088, 13183, 13280, 13379?
13480
What is next in -46877, -46879, -46881, -46883?
-46885
What is next in 483, 356, 229, 102, -25?
-152
What comes next: -390, 132, 654, 1176?
1698
What is the next term in 1318, 1219, 1108, 979, 826?
643
What comes next: 11330, 22647, 33964, 45281?
56598
What is the next term in 11610, 23456, 35300, 47142, 58982, 70820?
82656
What is next in 1408495, 1408497, 1408499, 1408501, 1408503, 1408505?
1408507
What is next in -372705, -745411, -1118117, -1490823, -1863529?
-2236235
What comes next: -75, -871, -1655, -2421, -3163?
-3875
What is the next term in -107206, -107214, -107224, -107236, -107250, -107266?
-107284
What is the next term in 997, 1232, 1897, 3208, 5381, 8632?
13177
What comes next: 261, 327, 385, 435, 477, 511, 537?
555
What comes next: 918, 1843, 2778, 3723, 4678, 5643?
6618
What comes next: 96, 5, -86, -177, -268?
-359
What is next in 554, 1115, 1674, 2231, 2786, 3339?
3890
What comes next: 9098, 9080, 9062, 9044, 9026?
9008
What comes next: 3156, 3148, 3152, 3174, 3220, 3296, 3408, 3562?
3764
What is the next term in 18347, 18141, 17935, 17729, 17523?
17317
What comes next: -986, -964, -942, -920, -898?
-876
What is the next term in -3250, -2854, -2444, -2014, -1558, -1070, -544, 26?
646
What comes next: 497713, 497711, 497707, 497701, 497693?
497683
What is next in 91, 715, 2391, 5641, 10987, 18951, 30055?
44821
What is the next term in 1386, 2398, 3412, 4428, 5446, 6466, 7488?
8512
What is the next term in 37435, 37433, 37431, 37429, 37427?
37425
What comes next: -564, -1551, -2536, -3519?
-4500
What is next in -4260, -8410, -12592, -16818, -21100, -25450, -29880, -34402?
-39028
What is the next term in -3158, -12649, -28446, -50531, -78886, -113493, -154334?
-201391
What comes next: 3, -47, -81, -93, -77, -27?
63
What is the next term in 92, 551, 1318, 2393, 3776, 5467, 7466?
9773
What is next in 324, 1342, 3084, 5580, 8860, 12954?
17892
What is next in -175, -358, -545, -742, -955, -1190?
-1453
What comes next: -352, -729, -1096, -1453?
-1800
What is the next term in -4336, -4345, -4356, -4369, -4384, -4401?
-4420
What is the next term in 3592, 4436, 5280, 6124, 6968, 7812?
8656
What is next in 19, 47, 75, 103, 131, 159?
187
What is the next term in 502, 1024, 1576, 2158, 2770?
3412
What is next in 6198, 12721, 19250, 25791, 32350, 38933?
45546
What comes next: -655178, -655179, -655180, -655181, -655182?
-655183
What is the next term in 46236, 184937, 416104, 739743, 1155860, 1664461, 2265552?
2959139
What is the next term in -119, -40, 199, 604, 1181, 1936?
2875
What comes next: -369, -633, -1071, -1683?
-2469
What comes next: 6624, 26516, 59668, 106080, 165752, 238684, 324876?
424328
What is next in 3685, 3811, 3941, 4075, 4213?
4355
What is the next term in -35, -122, -261, -446, -671?
-930
What is the next term in -3614, -7069, -10534, -14015, -17518, -21049, -24614?
-28219
What comes next: 344, 610, 796, 902, 928?
874
What is the next term in 55, 75, 135, 241, 399, 615, 895, 1245?
1671
What comes next: -36, -90, -144, -174, -156, -66,
|
{
"pile_set_name": "DM Mathematics"
}
|
1 + 142.321. Let r = 131 - b. Let j = -17 - -16. What is the nearest to r in -2, 0.2, j?
-2
Let m = 3.1 - 3. Let d(s) = -s**2 + 7*s - 20. Let u be d(4). Let g be (-18)/(-12)*u/42. What is the nearest to -1 in g, -0.5, m?
-0.5
Suppose -4*y = -q + 79, 6*y - 3*y - 259 = -4*q. Suppose -6*r - 91 + q = 0. What is the nearest to r in 7, -2, -2/5?
-2
Let c = -0.00899 + 1.80899. What is the nearest to -2/7 in c, -0.3, 8?
-0.3
Let l(v) = 6*v**2 + 304*v + 208. Let x be l(-50). Which is the closest to 0.5? (a) -3/4 (b) x (c) -2/11
c
Let n = 2.56 + -0.56. Let u = -24 - n. Let h = u + 26.5. What is the closest to -2/7 in h, 0.1, 0.3?
0.1
Let y = 166.1 - 186. Let h = y + 0.9. What is the nearest to 1/2 in h, 5, -3/7?
-3/7
Suppose -2*a - 3*m = -7, -6*a + 2*a = 2*m - 2. Let h = -76 - -56. What is the nearest to a in 2, 0.5, h?
0.5
Let a = 0 + -4. Let v be -30 + 3 + 5/(-1). Let j be 7/((-126)/v) - 2. What is the closest to 1 in a, j, 3?
j
Let c = -1603 - -1603.4. What is the closest to 0 in c, -4/3, -10, -0.5?
c
Let h be 53*-3*1704/639. What is the nearest to h in 1/4, -2/9, 0.5?
-2/9
Let b(q) = -q**3 + 2*q**2 - 5*q + 61. Let j be b(6). Let d = -1923/17 - j. What is the closest to -1/4 in -1/3, 3, 2, d?
-1/3
Let w(m) = 11*m**2 - 8*m - 5. Let v be w(1). Which is the nearest to v? (a) -2/3 (b) -5 (c) 245
a
Let j = 106 - 70. Let u = j + -35.15. Let f = 0.35 - u. Which is the closest to -0.1? (a) -5 (b) f (c) -3
b
Let q be ((-2)/(-3))/((-8)/4). Let x = 2.9656 + 0.7714. Let i = x + -0.737. Which is the nearest to i? (a) q (b) 3 (c) 2/5
b
Let f = 6910 + -6932. Which is the closest to -2? (a) f (b) 12 (c) 4 (d) 2/9
d
Let d be ((-17)/(-2))/((-136)/144 + 1). Let n = 150 - d. Which is the closest to -2/75? (a) -4 (b) n (c) -0.4
c
Let v = -0.41 + 0.41. Let h = 1601.9 - 1602. Which is the closest to 1? (a) v (b) h (c) 2/17
c
Let n be (-128)/48*-5 - 13. What is the nearest to n in -3/53, -0.3, -4?
-3/53
Let o be (0 + 1 + 0)*(1819 - 1816). Let h = -2 - -4. What is the nearest to h in -5/4, o, -5, -0.3?
o
Let t = 0.1 + -0.3. Let c = -252.451 - -251.451. What is the nearest to -1 in t, c, 7, -4?
c
Let t be ((-7)/(-98) + (-4)/7)/(-1). Let d be 1*(0 - (-5 + 6)). Which is the nearest to d? (a) -0.3 (b) t (c) 0.05
a
Suppose -18*c + 408 = -12*c. Let m be 6*(1 + c/(-60)). Let a = m - -7/5. What is the nearest to a in 5, -2, 2/11?
2/11
Suppose -7*g - 15 = 27. Let d = 5.0738 + -0.0738. Let i = -130 + 386/3. Which is the nearest to 0.1? (a) d (b) g (c) i
c
Let g = -0.2036 - 0.0964. Let j = -4.5 + 4.8. Let y = -0.04 - 0.06. What is the nearest to y in g, 1, j?
g
Suppose 0 = -5*s, 7*s - 4*s = 2*m - 200. Let p be (m/210)/(1/102). Let i = p + -48. Which is the nearest to 2? (a) i (b) -4/5 (c) -0.2
a
Let r(v) = v**3 + 91*v**2 + 255*v - 850. Let q be r(-88). Let w = 8 - 13. Which is the closest to 1? (a) -2 (b) q (c) w
a
Let m = -11.12 - -0.12. Let o = -30 - m. Let i = 18.7 + o. Which is the closest to 2? (a) i (b) -2/9 (c) 0.4
c
Let q = -167 - -165. Let r be -2 + 4 - 14/6. Let h be ((-2)/3)/(14/21). Which is the closest to h? (a) r (b) q (c) -1/6
a
Let o be (-47)/9 + 386/1737. Which is the closest to -4? (a) -3.6 (b) 1/4 (c) o
a
Let w be 63/18*((-315)/(-49))/15. Let z = 0.18 - 0.08. Which is the nearest to z? (a) -5/3 (b) 4 (c) w
c
Let o = -7052.6 + 7053. Let j = 1241/7 - 177. Let k = -2.5 + 3. Which is the nearest to 2/5? (a) k (b) o (c) j
b
Let s = -3.903 - -4.303. Let t be -17*((-2)/(-2) - 0). What is the nearest to -1 in s, t, 5?
s
Let p be (-2 + (-304)/(-12))*(-6)/(-3). Let v = p + -47. Suppose -t - 18 = -14. Which is the closest to v? (a) t (b) -1 (c) 0.3
c
Let g = 1736 + -1788. Which is the nearest to -1? (a) g (b) 1 (c) 5
b
Let h = 6 - 171. Let s = 165 + h. What is the closest to 1/5 in 0.3, 11, s?
0.3
Let u = -34.02858 + 0.02858. What is the nearest to 0.5 in 0.3, u, -1/4?
0.3
Let d = -30.9 + -7.5. Let o = d + 38. Which is the closest to 2/17? (a) o (b) -0.2 (c) -5/6
b
Let x be (3 - 340/112)*(-8)/(-22). Let k = x + 167/1001. Which is the closest to -2/3? (a) 0 (b) k (c) -2
a
Let u be ((-11)/10 + 1)*1. Let f be 28/10 - 8/(-20)*(-8)/(-16). Let t = 14/15 - 8/15. What is the closest to t in f, u, 0.1?
0.1
Suppose 5*v + 137 - 95 = -4*l, 0 = 2*l - 2*v + 30. Let z = -0.5 + 0.5. Which is the nearest to l? (a) -5 (b) -2 (c) z
a
Let j = 0.05139 - 0.05139. Which is the closest to 4? (a) 4/5 (b) 4 (c) j (d) -5
b
Let g be 1645/549 + -2 - 1. Let b = g + -3284/2745. Let n = 726 - 725. What is the closest to n in 2, b, 0.2?
0.2
Let u = -12.475 + 3.475. Which is the closest to 0? (a) 1 (b) -0.7 (c) u (d) -0.4
d
Suppose -25 = 3*i + 2*q, -2*i - 5*q + 2 = 15. Let u = -9 - i. Let v be 4/(-12)*(6 + u). Which is the closest to -1? (a) v (b) 3/4 (c) -7
a
Let f be 1673/(-956) - (1 - 2). What is the nearest to -107 in f, -2/9, -0.5, 2?
f
Let b = -31.1 - -26.1. What is the nearest to 0.1 in -17, -23, -4, b?
-4
Let s = -131.9 - -130.9. Let z = -1 - 1. Which is the closest to s? (a) -20 (b) z (c) 3
b
Let g = -19.5 + 21. Let r = g - -2. Let x = -0.5 - r. Which is the closest to 1? (a) x (b) 0.4 (c) -3
b
Let l = -1.9694 + -0.0306. Let s = -3.02 + 2.5. Let x = s + 0.02. What is the closest to 0 in x, -5, l?
x
Let s = 2.5 - 0.5. Let p be 3 - (3/2 - (-156)/117). Let l be (13/(117/(-18)))/(-2). Which is the nearest to l? (a) s (b) 6 (c) p
c
Let r = 0.3826 - 0.4026. Which is the nearest to -1? (a) r (b) 0 (c) 5/13
a
Let g = 7781/2 + -3890. What is the nearest to g in -0.4, -5, 1/800?
1/800
Let x = 5954 - 5953.8. What is the closest to 2.88 in -3, x, 2, -0.1?
2
Let m = 1073/2776 - 4/347. What is the closest to 1/2 in m, -5, 2/15, 0.3?
m
Let x = -3.2 + 1.1. Let l = -1.8 - x. Let d = -120 + 121. Which is the nearest to 1? (a) 0.5 (b) d (c) l
b
Let g = -1.0031 + 0.0031. Which is the closest to 9? (a) -0.5 (b) g (c) 4/7 (d) 3/5
d
Let m = -116506/21 - -5548. What is the nearest to -1 in m, 2/7, 15/7?
m
Let s(b) = -21*b**2 - 3*b - 2. Let x be s(-1). Let y be (-4)/x - ((-18)/(-40) + 0). What is the closest to 1/5 in -7, -1, y?
y
Let d = 759 - 760. Let v = 7 - 8. Let g = v - 4. Which is the nearest to d? (a) 2 (b) g (c) 0.3
c
Let y = -13 - -9. Let z be 14/12 + 4/((-312)/65). What is the closest to z in -0.9, y, 3?
-0.9
Let j = 0.077 + 12.823. Let s = j - 10.9. What is the nearest to s in 1/2, 8, -1/3?
1/2
Let f be (-372)/(-465)*(-50)/(-8)*2/5. What is the closest to 4 in 3, f, 0.4, -5/3?
3
Suppose 0 = -4*a + 4*y - 32, 2*y - 28 = 2*a - 3*y. Let m = 800 - 801. What is the nearest to -2/9 in m, 0.4, a?
0.4
Let g = 5.611 - 5.711. Which is the closest to g? (a) -4/7 (b) 0 (c) 1 (d) 0.3
b
Let o be 1 - (-49)/(-42) - (-10)/(-84). Let r = -0.475 + 0.575. Which is the closest to -2/9? (a) -6/5 (b) o (c) r
b
Let a = -13.08 + 13.58. What is the closest to -13 in 19, -0.3, a?
-0.3
Let g = 138 - 139.22. Let i = g + -0.18. Which is the closest to 0? (a) 1 (b) -1/5 (c) i
b
Let l = -0.0102 + 0.7102. Let b be 2/(-9) + 1/18. What is the nearest to -1 in b, l, -3/8?
-3/8
Let j = 5629 - 5627. Which is the closest to -0.4? (a) 10 (b) j (c) 16
b
Let w = 11 + -10. Let x = 0.013 - -24.987. Let b = -24 + x. What is the nearest to w in -6/7, b, -2?
b
Let n(k) = -19*k + 243. Let h = 345 + -332. Let u be n(h). Which is the closest to 0? (a) -2/9 (b) u (c) 3 (d) 0.8
a
Let p be -9 + 3 - 77/(-14). Let q = 0 + -3. Which is the closest to -0.2? (a) 0 (b) p (c) q
a
Let w = 1214/9 + -4847/36. What is the closest to w in -1, 0.03, -2, 0.4?
0.4
Let u = 0.91 - -58.09. Let d = 68.9 - u. Let j = 10 - d. Which is the nearest to j? (a) -0.5 (b) -0.4 (c) -1/8
c
Let q = 45.4 - 43.4. Let y = -3.4 + 47.4. Which is the closest to -1? (a) -2/13 (b) q (c) y
a
Let i be (-6 - (-7488)/(-364)) + 34. Let o be 4*(6/44)/3. Which is the nearest to 0? (a) i (b) 4 (c) o
c
Let f = 2378.09 + -2363. Let m = 15 - f. What is the closest to m in -5, 2/21, -2/3?
2/21
Let o be (-8 + 13)*(-28)/(-70). What is the nearest to o in -0.5, -4/7, 0.21, -2/7?
0.21
Let s = 19608.8 - 19609. Let j = -3 - -6. Which is the closest to 0? (a) 23 (b) j (c) s
c
Let k = 13169 + -13169.2. What is the closest to 2/11 in 3/5, 2, k, -4?
k
Let g = -0.9476 + 0.8676. Let f be (-7)/3 - (
|
{
"pile_set_name": "DM Mathematics"
}
|
nd derivative of q(o) wrt o?
-8434
Let l(j) be the second derivative of -1831*j**6/10 - 17*j**4/12 - 49*j**3/3 - 157*j - 2. Find the third derivative of l(f) wrt f.
-131832*f
Suppose -8 = 302*k - 306*k. What is the third derivative of 79*a**5 + 126*a**k - 55*a + 55*a + 4*a**3 - 4*a**3 wrt a?
4740*a**2
Let v(i) be the second derivative of 176*i**4/3 - 359*i**3/3 - i**2/2 + 8*i + 29. What is the second derivative of v(z) wrt z?
1408
Find the second derivative of 15*l - 19 + 1479*l**2 + 79 - 31 wrt l.
2958
Suppose 16 + 26 = 6*y. Suppose y*k - 10*k = -15. Differentiate -12*w + 7*w + k*w - 14*w**2 + 5 wrt w.
-28*w
Suppose 18*o = 21*o + 21. Let d = 29 + o. Find the second derivative of -185*z**2 - 5*z - d*z**3 + 185*z**2 wrt z.
-132*z
What is the derivative of 42*m + 30 + 32 - 212*m**3 - 85*m + 10*m**3 + 44*m wrt m?
-606*m**2 + 1
Suppose 5*d - 10 = -n + 7, -2*d - 5*n + 16 = 0. Find the third derivative of -14*w + 34*w**2 - 3*w**4 + d + 14*w - 5*w**5 - 44*w**2 wrt w.
-300*w**2 - 72*w
Let h(o) be the second derivative of 3*o**8/28 - 571*o**7/42 + o**4/12 - 3439*o**3/3 - 9217*o. What is the third derivative of h(u) wrt u?
720*u**3 - 34260*u**2
Suppose -4*c - 4*m - 284 = 0, 0 = -5*c + 2*m + 2*m - 400. Let h = c - -91. Find the third derivative of f**2 - h*f**2 - 32*f**4 + 4*f**4 + 0*f**2 wrt f.
-672*f
Let w(h) be the first derivative of -43 + 62*h**5 - 11/2*h**2 + 0*h**3 - h + 0*h**4. What is the second derivative of w(f) wrt f?
3720*f**2
Let d(y) be the third derivative of y**8/84 - 23*y**6/24 + y**5/60 + 7*y**4/2 + 993*y**2. Find the third derivative of d(g) wrt g.
240*g**2 - 690
Let j(z) be the second derivative of -5*z + 0*z**3 + 4 + 3/20*z**5 + 0*z**2 + 0*z**6 + 17/42*z**7 + 7/4*z**4. Find the third derivative of j(s) wrt s.
1020*s**2 + 18
Let p(y) = -6693*y - 12177. Let l(c) = 28*c - 3. Let j(q) = -18*l(q) + p(q). What is the derivative of j(m) wrt m?
-7197
Let q(r) be the first derivative of 872*r**3/3 + 177*r**2 - 1361. What is the second derivative of q(h) wrt h?
1744
Find the first derivative of -1066 - 135761*j + 146545*j + 8024 wrt j.
10784
Let v(d) be the first derivative of -4583*d**3/3 + d**2/2 + 1794*d + 12894. What is the second derivative of v(j) wrt j?
-9166
Let a(f) = 2*f**2 - 4178*f - 8788. Let r(z) = z**2 - 2089*z - 4402. Let u(m) = -2*a(m) + 5*r(m). What is the first derivative of u(g) wrt g?
2*g - 2089
Let h = 43 - 42. Let c = 29 - h. Find the second derivative of -c - 16*y + 52 - 24 + 3*y**2 wrt y.
6
Suppose -2*z - t + 61 = 0, 6*z - 5*z + 4*t = 13. Let y = 44 - z. Find the third derivative of 2*q**3 + 5*q**3 - y*q - 8*q**2 + 11*q wrt q.
42
Suppose -247 = -20*g + 113. What is the second derivative of 30*o - 83*o**4 - g*o + 53*o - 9*o wrt o?
-996*o**2
Suppose 2*y + 7*o - 11 = 4*o, -o + 5 = y. Find the first derivative of 520 - 277 - 174*b**y - 387 wrt b.
-696*b**3
Let w(n) be the first derivative of -n**3/3 - n**2/2 + 51*n - 20. Let m be w(0). What is the first derivative of 33 + 26*h**4 + m*h**4 - 111*h**4 wrt h?
-136*h**3
Let v(s) = -86*s**5 + 6*s**2 - s + 3. Let t(m) = 1 + 42*m + m**2 - 42*m. Let i(d) = -3*t(d) + v(d). Find the third derivative of i(x) wrt x.
-5160*x**2
Let p be (3 - 1) + (-81 - (-2 + 3)). Let w = 86 + p. What is the third derivative of 15*r**2 - 31*r**2 + 23*r**w + 0*r + 0*r wrt r?
2760*r**3
Let v(y) be the first derivative of 15*y**7/7 - 11*y**6/6 + 1219*y**3/3 + 1513. What is the third derivative of v(i) wrt i?
1800*i**3 - 660*i**2
Let f(x) = x - 7. Let w be f(25). What is the second derivative of -w*o + 39*o + 41*o**4 + 31*o + 11*o wrt o?
492*o**2
Let v(a) be the second derivative of 0*a**2 - 10*a - 3 + 23/6*a**3 + 1/42*a**7 + 0*a**5 + 7/10*a**6 + 0*a**4. What is the second derivative of v(u) wrt u?
20*u**3 + 252*u**2
Suppose -j + 2*j - 4*d - 22 = 0, -2*j = 4*d - 20. Let s be 4/j + (-12)/(-7). Find the third derivative of 619 - 619 - 13*a**3 + 2*a**s wrt a.
-78
Find the third derivative of 8*a**2 + 19*a**2 - 44*a**4 - 18*a**2 + 5*a**3 - 9 - 5*a**5 - 4*a - 13*a**2 wrt a.
-300*a**2 - 1056*a + 30
Differentiate -1668*t**3 + 3944*t**2 - 3944*t**2 - 1169 wrt t.
-5004*t**2
Let q(p) be the first derivative of -8*p**3/3 + 7*p**2 + 95*p - 24. Let a(h) = -h**2 - h. Let i(z) = -6*a(z) + q(z). Differentiate i(y) wrt y.
-4*y + 20
Let h(q) be the first derivative of 1/2*q**2 - 190*q + 0*q**3 + 52 - 139/4*q**4. Find the first derivative of h(b) wrt b.
-417*b**2 + 1
Let c(o) = o**5 + o**3 - o**2 + 2*o. Let f(s) = -746*s**5 - 4*s**3 + 2*s**2 - 8*s + 26. Let y(l) = -4*c(l) - f(l). What is the third derivative of y(a) wrt a?
44520*a**2
Suppose 0 = 32*c - 37*c + 30. Suppose -7*z + 52 = c*z. What is the second derivative of -r**z - 508*r + r**4 + 505*r + 23*r**5 wrt r?
460*r**3
Let q = -216 + 272. What is the second derivative of -3 - 274*d**5 - d + 27*d**5 + q*d**5 - 6 wrt d?
-3820*d**3
Suppose 0 = -4*f + 6 + 10. What is the derivative of 0*d**3 - 4*d**3 + 5 + 2*d**f + 5*d**3 + 55 wrt d?
8*d**3 + 3*d**2
Let l(g) be the third derivative of 161*g**6/15 + 33*g**4/8 - g**3/2 - 47*g**2 + 7*g + 1. What is the second derivative of l(s) wrt s?
7728*s
Let l(k) = -28*k + 6*k**2 + 22*k - 55*k**3 + 77*k**3 + 48 + 93*k**3. Let b(p) = -p**3 - p**2 + p + 1. Let w(n) = -6*b(n) - l(n). Differentiate w(i) wrt i.
-327*i**2
What is the first derivative of 318*o - 2*o**3 + 260*o**2 - 643*o + 324*o + 228*o**2 - 5869 wrt o?
-6*o**2 + 976*o - 1
Let p = 37 - 42. Let c(k) = -k**3 - 3*k**2 + 8*k - 5. Let o be c(p). What is the second derivative of 7*w**2 + w**2 + 3*w**2 + o*w wrt w?
22
Let l(t) be the second derivative of t**6/10 + 21*t**5/20 + 388*t**2 - 606*t. Differentiate l(g) with respect to g.
12*g**3 + 63*g**2
Let x be (1 - 2)*(62 + -3). Let y = 84 + x. Find the third derivative of -136*c**2 + 68*c**2 + y*c**2 - 2*c**3 wrt c.
-12
Find the second derivative of -53*h + 593*h**2 + 221*h**2 + 481*h**2 - 226*h - 192*h**2 wrt h.
2206
Let w be 824/309 - 1/(-3). Let u(b) be the third derivative of 0*b**w + 5/8*b**4 + 1/60*b**5 + 0 + 0*b - 10*b**2. What is the second derivative of u(d) wrt d?
2
What is the third derivative of 0*y - y + 3*y - 235224 + 2*y**5 + 2*y**2 + 1244*y**3 + 234883 wrt y?
120*y**2 + 7464
Let g(c) be the third derivative of 0*c + 49/2*c**3 + 0 + 0*c**4 + 0*c**5 - 79/60*c**6 - 147*c**2. Differentiate g(i) with respect to i.
-474*i**2
Find the second derivative of -1115*r - 102192*r**4 - 1239*r + 99214*r**4 wrt r.
-35736*r**2
What is the third derivative of -2*g**3 - 3051 + 36*g**4 + 167*g**4 - g**2 + 107*g + 3*g**2 + 3051 wrt g?
4872*g - 12
Find the third derivative of 732*x**3 + 17*x**2 + 6 - 5*x**2 - 6*x**2 + 31*x**2 wrt x.
4392
Let h(j) be the third derivative of 165*j**8/112 - j**7/70 - j**6/60 - j**4/6 - 173*j**3/6 - 5*j**2 - j + 253. Find the second derivative of h(u) wrt u.
9900*u**3 - 36*u**2 - 12*u
What is the third derivative of 3672*s**5 + 110*s**3 - 115*s**3 - 16*s - 151 - 3559*s**5 - 2*s**2 wrt s?
6780*s**2 - 30
Let m(c) be the second derivative of -2417*c**5/10 + c**4/3 + c**3 + 10*c**2 + 468*c. What is the third derivative of m(u) wrt u?
-29004
Let n(o) = -o**3 - 25*o**2 - 2*o - 48. Let f be n(-25). Find the third derivative of -10*g**3 + 108*g**6 - 11*g - 2*g**f - 6*g - 110*g**6 wrt g.
-240*g**3 - 60
Differentiate b**3 - 14*b**4 - 749*b**4 - 1290*b**4 + 551 - 411 + 823 with respect to b.
-8212*b**3 + 3*b**2
Let w(g) be the first derivative of 65/4*g**4 + 62 + 0*g**3 - 4*g + 0*g**2. Find the first derivative of w(k) wrt k.
195*k**2
What is the second derivative of -2800 - 1061*z - 500*z**2 + 2800 - 258*z**2 wrt z?
-1516
Let h(y) be the third derivative of y**8/168 + 31*y**7/105 + y**6/40 + 359*y**5/20 - y**4/24 - y**3/2 - 585*y**2. Find the third derivative of h(j) wrt j.
120*j**2 + 1488*j + 18
Let p be ((-98)/4)/((-3)/6). What is the second derivative of -2*n**3 + 15*n**2 + p*n - 3*n**2 + 12*n wrt n?
-12*n + 24
Differentiate 3*k + 4*k**3 + k**3 - 351 - 331 - 3*k**3 + 8*k**3 with respect to k.
30*k**2 + 3
Find the second derivative of -42890*o + 17980*o + 2983*o**5 + 21390*o wrt o.
59660*o**3
Let u = 30 - -14. Suppose -2*l = -4*l + 2*p + u, 0 = 2*l - p - 41. What is the second derivative of -6*r + l*r**3 - 36*r - 6*r**3 + 15*r**3 wrt r?
168*r
Find the third derivative of -12*s**2 + 24*s + 769*s**5 - s**4 - 2*s**5 - 2
|
{
"pile_set_name": "DM Mathematics"
}
|
7308 to the nearest integer?
62
What is the cube root of 3483959 to the nearest integer?
152
What is 8486221 to the power of 1/6, to the nearest integer?
14
What is the fifth root of 4175583 to the nearest integer?
21
What is the square root of 302542 to the nearest integer?
550
What is the cube root of 4006423 to the nearest integer?
159
What is 885223 to the power of 1/6, to the nearest integer?
10
What is the square root of 1554595 to the nearest integer?
1247
What is 713510 to the power of 1/2, to the nearest integer?
845
What is the square root of 427715 to the nearest integer?
654
What is the sixth root of 293839 to the nearest integer?
8
What is the cube root of 96643 to the nearest integer?
46
What is the ninth root of 100307 to the nearest integer?
4
What is 1643251 to the power of 1/3, to the nearest integer?
118
What is the ninth root of 593112 to the nearest integer?
4
What is the cube root of 655797 to the nearest integer?
87
What is 407309 to the power of 1/2, to the nearest integer?
638
What is the cube root of 214971 to the nearest integer?
60
What is the cube root of 478497 to the nearest integer?
78
What is the square root of 728283 to the nearest integer?
853
What is the ninth root of 1573219 to the nearest integer?
5
What is 40262 to the power of 1/9, to the nearest integer?
3
What is the ninth root of 421110 to the nearest integer?
4
What is 16798462 to the power of 1/3, to the nearest integer?
256
What is the square root of 5829221 to the nearest integer?
2414
What is the third root of 3577795 to the nearest integer?
153
What is the third root of 173117 to the nearest integer?
56
What is 3680027 to the power of 1/9, to the nearest integer?
5
What is 10122356 to the power of 1/2, to the nearest integer?
3182
What is the third root of 4468282 to the nearest integer?
165
What is the square root of 5037350 to the nearest integer?
2244
What is the seventh root of 43913 to the nearest integer?
5
What is the third root of 20509 to the nearest integer?
27
What is 5819876 to the power of 1/3, to the nearest integer?
180
What is the third root of 13180533 to the nearest integer?
236
What is the sixth root of 630978 to the nearest integer?
9
What is 1485245 to the power of 1/8, to the nearest integer?
6
What is the tenth root of 1479451 to the nearest integer?
4
What is 5319324 to the power of 1/2, to the nearest integer?
2306
What is 1563593 to the power of 1/9, to the nearest integer?
5
What is 833365 to the power of 1/2, to the nearest integer?
913
What is the square root of 74787 to the nearest integer?
273
What is 4154862 to the power of 1/2, to the nearest integer?
2038
What is the tenth root of 5828452 to the nearest integer?
5
What is 121 to the power of 1/9, to the nearest integer?
2
What is the third root of 3009118 to the nearest integer?
144
What is the tenth root of 991742 to the nearest integer?
4
What is the square root of 212942 to the nearest integer?
461
What is the square root of 42356062 to the nearest integer?
6508
What is the fifth root of 888531 to the nearest integer?
15
What is the ninth root of 166468 to the nearest integer?
4
What is the seventh root of 13583555 to the nearest integer?
10
What is the square root of 558457 to the nearest integer?
747
What is 646140 to the power of 1/7, to the nearest integer?
7
What is 710175 to the power of 1/10, to the nearest integer?
4
What is 1106521 to the power of 1/5, to the nearest integer?
16
What is 6933509 to the power of 1/2, to the nearest integer?
2633
What is the third root of 9751688 to the nearest integer?
214
What is the sixth root of 1733955 to the nearest integer?
11
What is 941700 to the power of 1/3, to the nearest integer?
98
What is the cube root of 668843 to the nearest integer?
87
What is 1303666 to the power of 1/2, to the nearest integer?
1142
What is 13791891 to the power of 1/7, to the nearest integer?
10
What is the third root of 607131 to the nearest integer?
85
What is the third root of 2870292 to the nearest integer?
142
What is the tenth root of 483738 to the nearest integer?
4
What is 105227 to the power of 1/3, to the nearest integer?
47
What is 4404318 to the power of 1/5, to the nearest integer?
21
What is 194008 to the power of 1/2, to the nearest integer?
440
What is 27286350 to the power of 1/2, to the nearest integer?
5224
What is the fourth root of 1642973 to the nearest integer?
36
What is the square root of 10514421 to the nearest integer?
3243
What is the third root of 95788 to the nearest integer?
46
What is the square root of 145612 to the nearest integer?
382
What is the fifth root of 1119498 to the nearest integer?
16
What is the fifth root of 5548152 to the nearest integer?
22
What is the ninth root of 1254587 to the nearest integer?
5
What is the square root of 1054498 to the nearest integer?
1027
What is the sixth root of 1649564 to the nearest integer?
11
What is the square root of 7912917 to the nearest integer?
2813
What is 21257406 to the power of 1/2, to the nearest integer?
4611
What is 6790 to the power of 1/3, to the nearest integer?
19
What is 847555 to the power of 1/4, to the nearest integer?
30
What is 2980953 to the power of 1/2, to the nearest integer?
1727
What is 663120 to the power of 1/5, to the nearest integer?
15
What is 4659354 to the power of 1/2, to the nearest integer?
2159
What is the third root of 62004 to the nearest integer?
40
What is 2741727 to the power of 1/2, to the nearest integer?
1656
What is the third root of 906326 to the nearest integer?
97
What is the eighth root of 2028450 to the nearest integer?
6
What is 4008471 to the power of 1/10, to the nearest integer?
5
What is the square root of 26197960 to the nearest integer?
5118
What is 1611642 to the power of 1/3, to the nearest integer?
117
What is 1131400 to the power of 1/2, to the nearest integer?
1064
What is 1403761 to the power of 1/2, to the nearest integer?
1185
What is 521458 to the power of 1/2, to the nearest integer?
722
What is the cube root of 9431794 to the nearest integer?
211
What is the square root of 93911 to the nearest integer?
306
What is 12392252 to the power of 1/2, to the nearest integer?
3520
What is the square root of 379606 to the nearest integer?
616
What is the sixth root of 4703182 to the nearest integer?
13
What is 18202931 to the power of 1/3, to the nearest integer?
263
What is the cube root of 184795 to the nearest integer?
57
What is the sixth root of 5109556 to the nearest integer?
13
What is the square root of 3077561 to the nearest integer?
1754
What is the eighth root of 128771 to the nearest integer?
4
What is the eighth root of 148661 to the nearest integer?
4
What is 1672034 to the power of 1/2, to the nearest integer?
1293
What is the square root of 103444 to the nearest integer?
322
What is the tenth root of 10691900 to the nearest integer?
5
What is 291885 to the power of 1/8, to the nearest integer?
5
What is the square root of 7049864 to the nearest integer?
2655
What is the square root of 1185370 to the nearest integer?
1089
What is 2874521 to the power of 1/5, to the nearest integer?
20
What is the square root of 154520 to the nearest integer?
393
What is the cube root of 54744 to the nearest integer?
38
What is the fifth root of 656526 to the nearest integer?
15
What is 210135 to the power of 1/8, to the nearest integer?
5
What is 12496893 to the power of 1/2, to the nearest integer?
3535
What is the square root of 2383325 to the nearest integer?
1544
What is the third root of 1090689 to the nearest integer?
103
What is 706234 to the power of 1/2, to the nearest integer?
840
What is the square root of 10970085 to the nearest integer?
3312
What is 15326069 to the power of 1/6, to the nearest integer?
16
What is the square root of 542860 to the nearest integer?
737
What is 1052830 to the power of 1/3, to the nearest integer?
102
What is 13488570 to the power of 1/2, to the nearest integer?
3673
What is the square root of 5037573 to the nearest integer?
2244
What is the square root of 3343120 to the nearest integer?
1828
What is 238152 to the power of 1/2, to the nearest integer?
488
What is the square root of 2265803 to the nearest integer?
1505
What is 23097743 to the power of
|
{
"pile_set_name": "DM Mathematics"
}
|
st common factor of w and 793.
13
Suppose 5*n - 4*c - 156 = n, 0 = -n + 4*c + 57. Let f be 691/7 - (-4)/14. What is the greatest common divisor of f and n?
33
Let f = 117 + -225. Let o = 111 + f. Suppose -q - 6 = -2*q. Calculate the highest common divisor of o and q.
3
Suppose 0 = -4*u + 383 + 13. What is the greatest common factor of 45 and u?
9
Suppose -3*q = q - 76. Let p be (-48)/84 - (-2676)/28. What is the greatest common divisor of q and p?
19
Suppose 0 = -3*c + 4*l + 46, -2*c - 84 = -7*c + 3*l. What is the highest common factor of 306 and c?
18
Let y be 0/(-9)*(-2)/(-4). Suppose y = 18*d - 23*d + 1085. Calculate the highest common factor of 31 and d.
31
Suppose -4*g + 9 = -79. Let t be 102/13 - g/(-143). Calculate the greatest common factor of t and 88.
8
Let p(j) = j**2 + 17*j - 13. Suppose 10*f + 5*i + 3 = 9*f, -33 = 2*f + i. Let y be p(f). Calculate the greatest common divisor of 20 and y.
5
Let z(k) = 2*k + 13. Suppose 11*h + 30 = 5*h. Let f be z(h). Suppose -13 - 8 = -f*j. What is the greatest common divisor of 49 and j?
7
Suppose 4*n = -2*l + 792, 5*l + 324 - 1104 = -4*n. What is the highest common divisor of n and 125?
25
Let i be (-2)/3 + 122/3. Let u(p) = 2*p**2 + 16*p - 80. Let t be u(-12). Calculate the greatest common factor of i and t.
8
Let v be 126/(-90) - 22/(-5). What is the greatest common divisor of v and 30?
3
Let v(k) = -k**2 - 8*k + 35. Let b be v(-12). Let t(q) = q**2 + 9*q - 28. Let o be t(b). What is the greatest common factor of o and 18?
6
Suppose -16 = 4*l, -4*u + 9*u - 5*l = 35. Suppose -n = u*n. Suppose 5*d + 2 - 57 = n. What is the greatest common factor of 44 and d?
11
Let h(z) = -14*z - 8. Let m be h(-10). Let l(b) = -3 + 5 + 3*b**3 - 2*b**2 + 3*b - 4 - b**3. Let a be l(2). Calculate the greatest common divisor of m and a.
12
Let s = 316 - 226. Let n be (-53 - 37)*(-3)/2. Calculate the highest common divisor of n and s.
45
Let k = 1123 - 828. Calculate the greatest common divisor of k and 118.
59
Let b be -1 - (6 - 14 - -3). Calculate the highest common factor of 72 and b.
4
Let i = -69 - -249. Calculate the greatest common factor of 45 and i.
45
Let i(a) = 96*a - 3. Let c be i(2). Suppose -165 = -4*s - 57. Calculate the greatest common factor of c and s.
27
Let t = -481 - -207. Let s = -141 - t. Suppose -655 + 1035 = 20*p. What is the highest common factor of p and s?
19
Let y be (305 + -310)/(1*2/(-296)). What is the highest common factor of y and 60?
20
Let u(q) = -q**2 - 14*q - 20. Let v be u(-11). Calculate the highest common factor of v and 2.
1
Let v(x) = -6*x - 64. Let d be v(-11). Let b be d/(-6) + (-1086)/(-18). Calculate the greatest common factor of b and 40.
20
Let u(s) = -190*s - 1. Let z be u(-1). Let c = 203 - 182. Calculate the highest common factor of c and z.
21
Let x(g) = -g**2 + 12*g - 12. Let r be x(10). Suppose -5*l + 146 = -5*m + m, 2*m = -r. What is the highest common divisor of l and 104?
26
Suppose -5*w = 20, 0*s - 3*w + 13 = 5*s. Let j(b) = 8*b + 12. Let f be j(s). What is the highest common divisor of 78 and f?
26
Suppose 4*k = -u + 215, 132 + 67 = u - 4*k. Calculate the greatest common divisor of 23 and u.
23
Suppose 0 = -4*v + 4*b - 52, 6*v = v - 3*b - 33. Let y be (30/(-4))/(v/18). Suppose 3*m + 3 - y = 0. Calculate the greatest common factor of m and 28.
4
Suppose 3*p = 3*g + 135, -4*g - 79 = -2*p + 21. What is the greatest common factor of p and 344?
8
Let c(n) = -6*n - 103. Let j be c(-19). What is the highest common divisor of j and 55?
11
Let u = -683 - -393. Let b be (-6)/10 + u/(-25). Let q = -16 - -17. What is the highest common factor of q and b?
1
Let z be 4*(-4 + 1)/3. Let f be (-2)/z*18/(-2)*-38. Calculate the greatest common factor of 19 and f.
19
Let t(f) = -16*f - 1. Let c be t(-1). Suppose 0 = 827*k - 820*k - 105. What is the greatest common divisor of k and c?
15
Let m be (4/(-7))/(36/(-126)). Suppose 4*p = 5*u + 104, -m*p - u + 22 = -44. Calculate the highest common factor of 279 and p.
31
Suppose 6 = -2*b + 10. Suppose -23*a - 24 = -4*r - 19*a, -8 = -2*a. What is the greatest common divisor of b and r?
2
Let h(v) = 6*v**2 - 42*v + 8. Let o(j) = -2*j**2 + 14*j - 3. Let t(k) = -3*h(k) - 8*o(k). Let a be t(3). What is the greatest common divisor of 216 and a?
24
Suppose 4*k = -2*i + i + 12, 6 = 2*k - 4*i. Let m be (-3 - -3 - k)*-7. What is the highest common divisor of 21 and m?
21
Let c be (-3)/((-6)/8)*1. Let i(a) = -33*a + 168. Let u be i(5). Suppose 0 = -u*d + d + 4*s - 10, s = -d + c. What is the greatest common divisor of d and 9?
1
Let i be (13 + 1)*2*54/7. What is the greatest common divisor of 132 and i?
12
Suppose -62 = 2*i + 4*j - 188, 2*j = 2*i - 144. What is the greatest common divisor of i and 6?
3
Suppose -8*q + 3*q - 117 = -a, -5*q = -3*a + 301. What is the greatest common factor of 46 and a?
46
Let n(b) = -4*b**3 + 2*b**2 + 7*b + 7. Let t be n(-5). What is the greatest common factor of t and 58?
58
Suppose 2*j + 5 = j. Let o(t) = 2*t**2 + 6*t. Let x be o(j). Let a = 327 - 317. Calculate the greatest common factor of a and x.
10
Let z be ((-4)/(-3))/(12/18). Let l be (1 - 0)*-3*z. Let d be 135/6 - l/(-4). What is the highest common divisor of d and 105?
21
Let y(a) = 2*a**2 - 88*a + 104*a - 46 - 26. Let s be y(-15). What is the highest common divisor of s and 6?
6
Suppose 7*y = 4482 + 9560. Calculate the greatest common divisor of 118 and y.
118
Suppose 2382*o - 2391*o + 6264 = 0. What is the greatest common divisor of 72 and o?
24
Suppose -2*n + 0*n - 1554 = 0. Let x = -477 - n. Calculate the highest common divisor of x and 25.
25
Let l = -170 - -194. Calculate the highest common divisor of l and 216.
24
Let x = 1002 + -978. Let o(g) = -59*g + 1. Let m be o(-1). What is the highest common factor of x and m?
12
Suppose -3*d - 3*n + 21 = 0, 0 = -3*d + n - 3 + 16. Suppose 0 = -4*r + 3*v - 3 + 57, -2*v = -d*r + 71. Calculate the greatest common factor of r and 120.
15
Let v be (-13804)/(-24) - 5/30. Calculate the highest common divisor of 5 and v.
5
Suppose -46 = a + 60. Let w = a + 252. Suppose -3*g - 3*c = -210, -2*g - 2*c + w = -3*c. What is the highest common divisor of g and 9?
9
Let j be (-13)/(-4) - (13 + 846/(-72)). What is the greatest common divisor of 146 and j?
2
Suppose 2*x - 5*y = 73, -6 = -2*y - 4. Suppose -3*n - 2*j = -56, -5*n - 3*j + x = -3*n. Calculate the highest common factor of 36 and n.
18
Let z = -520 - -892. Calculate the highest common factor of 48 and z.
12
Let m be (18 + -16)/((-1)/(-2))*47. Calculate the greatest common factor of m and 235.
47
Suppose 2*b + 9 + 26 = l, 5*b = -3*l + 105. What is the greatest common factor of l and 119?
7
Suppose 4*z + 4*j - 15 - 149 = 0, -3*j = -5*z + 165. Let a = -12 - -11. Let p be 0/(4/a) - -24. What is the highest common divisor of p and z?
12
Let x(m) = 279*m + 99. Let q be x(4). What is the highest common divisor of q and 45?
45
Let t(m) = 3*m - 19. Let b be t(7). Suppose b*c - 69 = -3*c - 2*w, 2*c + 5*w = 36. What is the highest common factor of 52 and c?
13
Suppose 0 = 12*a - 1790 - 298. Calculate the highest common factor of a and 24.
6
Suppose 2*j - y - 16 = 0, -j - 3*y + 0 + 1 = 0. Let z(l) = -2*l**3 - 8*l**2 + 9*l + 2. Let u be z(-5). Calculate the greatest common factor of u and j.
7
Suppose 5*g = 4*l + 8 - 27, -2*g - 7 = -l. Calculate the highest common factor of l and 11.
1
Let o(z) = z**2 - 11*z + 25. Let g be o(11). Let v = -16 + 6. Let u = v + 15. What is the greatest common factor of g and u?
5
Suppose 9*x - 1392 = -204. Calculate the highest common factor of 156 and x.
12
Suppose -3136 = -29*g + g. What is the highest common factor of g and 28?
28
Let h = 8494 - 8394. Let p = 105 - 65. Calculate the greatest common factor of h and p.
20
Suppose -2*a + 3*a = 0. Let o be -5*(a + -2 + 4). Let s = o + 38. What is the highest common divisor of s and 14?
14
Let u(w) = w**3 - 9*w**2 + 11*w - 12. Let y be u(8). Let f = -8 + 12. What is the greatest common factor of y and f?
4
Let p(z) = -z**3 + 7*z**2 + 3*z - 5. Suppose -i = 12 - 19. Let o be p(i). Calculate the greatest common divisor of 80 and o.
16
Let k = -134 - -158. What is the highest common divisor of 30 and k?
6
Suppose 0 = 5*b - 10, -2*k - 204 = -4*k - 3*b. Suppose k = 6*r - 5*r. Calculate the highest comm
|
{
"pile_set_name": "DM Mathematics"
}
|
se
Let x be 10 + -1*(-1 + 0). Suppose 145*o - 630 = 106*o - 123. Which is smaller: x or o?
x
Let a = 280 + -131. Which is greater: a or 151?
151
Let c be (-2)/((-22)/26 - -1). Suppose -4*w + 59 + 62 = -5*n, 0 = -2*n + 2*w - 50. Let t = c - n. Which is bigger: 10 or t?
10
Let x = 12 + -27. Let m be (-110)/x + 4/6. Let d be (12/m)/(12/10). Which is greater: d or 2?
2
Suppose 4*r - 3*w = -6*w - 340, -w + 406 = -5*r. Which is bigger: -81 or r?
-81
Let t be (4/(-8))/(5/26). Is t less than or equal to -2?
True
Let m be (-19396)/19604 - 6/(-26). Which is bigger: -2 or m?
m
Let p be (3/(-26))/((-1)/(-2)). Let h be (12/(-20) + (-475)/(-1000))/(3/6). Which is smaller: p or h?
h
Let j = -2963 + 44461/15. Let o = -2/3 + j. Does o = 1.1?
False
Let i be (4 - 5 - 1) + 3/1. Let z = -6 - -12. Let j = z + -7.4. Which is smaller: i or j?
j
Suppose 78 = 5*w + 313. Let i = w + 237/5. Let o be (-2)/(-2) - (4 - 4). Which is greater: o or i?
o
Let o be (-390)/35 + -2 + 6. Which is greater: -7 or o?
-7
Let w(u) = -3*u - 24. Let b be w(-8). Which is smaller: -16/43 or b?
-16/43
Suppose 8 = -k + 3*k. Let h(s) = s**2 - 19*s - 15. Let c(z) = z**2 - 18*z - 15. Let x(l) = k*h(l) - 5*c(l). Let u be x(15). Are 0.3 and u non-equal?
True
Let v(c) = -65*c - 26. Let l be v(9). Is l bigger than -612?
True
Let v = -3.16 - -2.16. Which is bigger: -4 or v?
v
Let v(d) = d**2 - 5. Let r be v(-3). Suppose r*j - j = 2*w + 34, -2*w - 54 = 2*j. Let s = 33 + w. Which is smaller: 11 or s?
s
Suppose 0 = -3*d + 9, 3*b - 4*b + 2*d = 91. Let z = 76 + b. Let o be (40/(-12))/(1/3). Do o and z have the same value?
False
Let m = -231 + 230. Which is smaller: -0.9 or m?
m
Let q = 2813/22854 + 3/586. Which is smaller: q or 0?
0
Suppose -3*c + 801 = -181*z + 185*z, 267 = c + 5*z. Which is smaller: 266 or c?
266
Let w = 2.04 - 2. Which is smaller: w or -6/5?
-6/5
Let d(f) = -18*f**2 - f. Let b be d(1). Is b > -5?
False
Let b(u) = 14*u**2 + 12*u + 12. Let g be b(-1). Is g greater than or equal to 6?
True
Let m = -0.016 - 2.684. Let k = -1.7 - m. Is k at most 28?
True
Suppose 13*y - 63*y + 7650 = 0. Is 463/3 equal to y?
False
Let v(p) = p - 7. Let w be v(5). Let r(g) = g + 10. Let d be r(6). Suppose -12*q = -d*q. Which is bigger: w or q?
q
Let f = 30 + -20. Let r be (-1 + 0)*f/(-2). Suppose 0*j + r*j = 20. Are j and 7 equal?
False
Suppose -9*y + 400 = -14*y. Let w be (-6)/39 + y/(-13). Is 6 smaller than w?
False
Let w = -6 + 4.2. Let l = w + -11.2. Let a = l + 14. Which is smaller: -8 or a?
-8
Let x = 1044 - 1048. Let v = -1957/558 + -3/62. Which is bigger: v or x?
v
Suppose 0 = 10*s - 9*s + 4*r + 17, -2*s + 3*r = 67. Is -28 smaller than s?
False
Let d be 2*(-4)/(-8) + 3. Suppose -3*h = -f - 10, -5*f - 12 = d*h - 0. Let i be 2/56 - h/7. Are 7 and i equal?
False
Suppose 4*f = 4*u + 5*f - 135, -3*u = 4*f - 85. Let t = -21 + u. Suppose -t*n = -11*n - 3. Which is smaller: -1/4 or n?
-1/4
Let s(h) = 10*h**3 - h**2 + 2. Let p be s(1). Suppose -3*n - 7 = p. Is -6 less than n?
False
Let o(s) = -6*s. Let j be o(2). Let t = 140 - 155. Which is smaller: j or t?
t
Let d = -1123/20265 + -1/579. Let u(n) = -2*n**3 - 10*n**2 - n + 2. Let b be u(-4). Let w = -27 - b. Is d bigger than w?
True
Let c be 1 - 2 - (-4)/(-1). Let k be 13/130*(-2 - -1 - c). Which is greater: k or -2/7?
k
Let x = 5 - -8. Suppose 6*w = 2*w + 52. Is w at least x?
True
Let v = 0.013 + -35.013. Let d = 36 + v. Is d smaller than -0.3?
False
Let u be (-2)/9 - (-2 - 318/(-27)). Which is greater: u or -13?
u
Let u = -1.79 - -0.79. Let i = -3.31 - -3.5. Is u <= i?
True
Let t(z) = -2*z + 5. Let r be t(3). Let w be (-40)/5*r/(-2). Let q be (6/60)/((-2)/w). Do 1 and q have different values?
True
Let l = -294 - -3819/13. Which is greater: -6 or l?
l
Let q = 182 - 183. Are 8/23 and q unequal?
True
Let m(l) = -l**2 + 1. Let z(k) = -4*k**2 - 13*k - 3. Let v(j) = -3*m(j) + z(j). Let b be v(-13). Is -4 less than b?
False
Let d be ((-2388)/48)/((-3)/(-12)). Is -0.1 at least d?
True
Let k = -2467/3340 - 52/167. Which is greater: 0 or k?
0
Let x = 4 + -2. Let v be x/(-36)*-14 - 12/(-54). Which is bigger: v or 2/49?
v
Let x(c) = -6*c - 92. Let t be x(-11). Which is greater: t or 0?
0
Let c be (6/(-4)*5)/(95/(-40)). Is c > 3?
True
Let u = 3/98 - 229/1078. Is 0.7 > u?
True
Let x(m) = m**3 + 6*m**2. Let w be x(-6). Let a be (6/4 + (-3350)/2240)*(-56)/(-16). Which is smaller: w or a?
w
Let y(a) = -5*a**3 + 3*a**2 + 5*a + 5. Let u be y(-2). Suppose -43*r + u*r = -12. Which is bigger: -11 or r?
r
Suppose 3*c = h - 2, -3*h + 53 - 59 = 3*c. Which is bigger: c or 0.151?
0.151
Let t be (2 - 7) + 31370/6270. Is t >= 1?
False
Let t be 16/80 - 8/5*2. Let u be 2 + t/(1 - 0). Is u bigger than 16?
False
Let g = 17402/465 + -14/155. Which is smaller: g or 37?
37
Let i = -3/1226 - -16081/5569718. Are 1 and i non-equal?
True
Let g = -989/10 - -99. Let z = 14 + -14. Suppose -9*a + 5 + 4 = z. Are a and g unequal?
True
Let j be (9 + -9)/(1 - 5). Let m be (4/(j - -2))/(-1). Let y(l) = -l**2 + 6*l - 7. Let d be y(5). Is d at most as big as m?
True
Suppose 612 = -5*k - 3*s - 735, 0 = k - 4*s + 274. Is -270 > k?
False
Let p(c) = c**3 - 4*c**2 - 25*c + 10. Let l be p(10). Which is greater: l or 362?
362
Let u = -2473/9039 + 5/393. Is u at most 1?
True
Suppose -20 + 148 = -4*b. Suppose 809*r - 821*r = 396. Is r greater than b?
False
Let n = -0.0238 + 0.2238. Is -7 != n?
True
Suppose -3*f + 5*h = 7, -f = 2*h - 2 - 3. Let p be 8/(-6) - -2 - f. Is p >= 0.25?
False
Suppose 4*c = -2*h - 24, -3*c + 6*h - 18 = 3*h. Let u(s) = 2*s - 6. Let j be u(3). Suppose -2*i - 2*x - 12 = j, 2*i + 5*x + 9 = -3. Is i <= c?
True
Suppose 0 = 4*u + q + 4*q + 144, -72 = 2*u - 2*q. Let z = u + 40. Is 7 bigger than z?
True
Let w = -0.08 + -4.92. Let s = w + 4.87. Let r = 3.13 + s. Which is smaller: -2 or r?
-2
Let t = 112 + -66. Suppose 127 = 3*s + t. Let j be -3*(-3)/s*-3. Is j bigger than -1?
False
Suppose 0 = 3*t + 3 - 15. Suppose t*a = -a + 10. Let d be 152/110 - (4/22)/1. Which is smaller: d or a?
d
Let u be -6*(-11 - (-259)/(-140)). Which is bigger: 77 or u?
u
Suppose 95*l - 15 = 80*l. Is l less than 2/59?
False
Suppose 4*c + 11 = 3*p, -2*c + p - 2 = 1. Let w(g) = g**2 - g. Let i be w(c). Which is bigger: i or 3/4?
3/4
Suppose 4 = -k - 7*l + 9*l, 5*k - 7 = l. Which is greater: 13 or k?
13
Let k(h) = 33*h + 37. Let w be k(-2). Is -0.1 at most w?
False
Let y(n) = 3*n + 2. Let t be y(0). Let z be (-1)/t - (-60)/8*-1. Which is smaller: z or -7?
z
Suppose o + 24 = -a, 5*a - 7*o + 100 = -2*o. Let b = a - -16. Let r be 2/6*b/(-8). Is -2 greater than r?
False
Let w = 206.3 - 30.3. Let i = 162 - w. Which is bigger: 1/2 or i?
1/2
Let t = 7.21 - 7.21. Is t smaller than 241?
True
Let u be (1/(-6))/((-5 + 12)/(-1974)). Is 54 less than or equal to u?
False
Let g be (-47)/12 - (-84)/21. Let d = -11 + 10. Let y be ((-24)/15 - d) + 1. Is y at most as big as g?
False
Suppose -h - 9 = -7. Which is smaller: h or 1?
h
Let j be (-1)/((2/(-2))/(-1)). Let r be (-8)/(-6)*(-6)/j. Let t = r + -12. Is t bigger than -4?
False
Let c(y) = 25*y - 1427. Let u be c(59). Let i = -34 + 81. Which is greater: i or u?
u
Suppose 0 = f - 5*w - 3, -f - 2*w + 3 = 0. Suppose 0 = v - f + 5. Let i be v/10 - (-38)/(-60). Which is bigger: i or 0?
0
Suppose -98 = 11*o - 12*o. Is o at least 98?
True
Let g = 1952 - 1943. Which is smaller: -93 or g?
-93
Suppose z + z - 48 = 0. Let n = z - 11. Let o = -11 + n. Which is greater: 1 or o?
o
Let j = 140165/18 + -7781. Which is smaller: j or 6?
j
Let u be -28*1*(-12)/(-14). Let p be -34 + 11 + (-4)/2. Is u != p?
True
Let t be (-4)/6 - 137/(-3). Let x be 4*9*(-44)/(-36). Are x and t equal?
False
Let l = 72.3 - 73.1. Which is smaller: 0 or l?
l
Let r be (-813)/((30/(-35))/((-16)/(-14))). Is 1084 less than r?
False
Suppose -257*m - 16 = -261*m. Let q be (3 + 0)/((-1)/7). Let l be -2 - (-7)/(q/(-18)). Are m and l equal?
True
Suppose -11*q + 27 = -281. Suppose -10*z + 2 = -q. Is -9 >= z?
False
Suppose -2 = -0*p - p. Suppose 0 = 2*h + p*h - 20. Let c be h/(-3) + (3 - 3). Which is greater: -3 or c?
c
Let k be (8/(-228))/((-8)/(-54)). Let w = -5/342 - k. Is w <= -1?
False
Let r be (4 + 21/(-6))*(-1 - 97). Is -48 at most r?
False
Let a(j) = j**2 - 16*j + 16. Let b be a(15). Is b < -2/53?
False
Let l(j) = 4*j**3 - 18*j**2 + 10*j
|
{
"pile_set_name": "DM Mathematics"
}
|
0/(-42). Suppose b = -5*v + 1, -2*b = -v + 5*v - 2. Let q = 7 + v. Calculate the greatest common factor of q and x.
7
Let q be (-1 + 5/3)*18. Let n(g) = 17*g**3 + g - 6. Let j be n(2). What is the highest common divisor of q and j?
12
Suppose 36 = 13*h - 4*h. Suppose -13*q = h*q - 272. Let o = 6 + -2. What is the greatest common divisor of q and o?
4
Let f be (12/5)/((-12)/(-90)). Let u = f - 12. Suppose 26 = -4*g + u*g. What is the highest common divisor of g and 65?
13
Let r be (-50)/(-3) + 4/(-6). Suppose -2*s + s = -r. Let w(g) = -31*g - 14. Let k be w(-2). What is the greatest common divisor of k and s?
16
Let k = 2 + -2. Suppose -r + 4*h - 4 = 8, k = -2*r - 3*h + 31. Let o = 219 + -218. What is the greatest common factor of o and r?
1
Suppose 3*j + i - 142 = 0, 7*j - 4*i + 88 = 9*j. Calculate the greatest common factor of j and 768.
48
Let a(b) = -b**3 - 2*b**2 - 2*b + 4. Let n be a(-3). Let y = 31 + n. Let d be 3/(-1) - 5/((-95)/437). What is the greatest common divisor of d and y?
10
Let o(w) = w - 2. Let u be o(5). Suppose 2*t = -4*b, -u*t - 4 = t + 4*b. Let r be t/4 + (-35)/(-10). Calculate the highest common factor of r and 9.
3
Let h be (-54)/(-8) + 4*1/16. Let l(m) = -27*m**3 + m**2 - m - 1. Let i be l(-1). Calculate the highest common divisor of h and i.
7
Let k(f) = f**2 - 4. Let j be k(-7). Let h = j + -34. What is the highest common factor of 121 and h?
11
Let y = 21 - 29. Let i be -3*y/6 - -77. Suppose -5*s + 27 = -2*s. What is the highest common factor of s and i?
9
Let j = 333 - 207. Calculate the highest common divisor of j and 14.
14
Let p = 15 + -9. Suppose -3*r + g = -6, 0*g + 2*g = -4*r + 18. Suppose -h - 5 = -r, -2 = -3*u - 5*h. Calculate the greatest common factor of u and p.
2
Let p = -35 + 81. Let o = p - 43. Calculate the highest common divisor of o and 33.
3
Let s be (-3354)/(-182) - -4*3/(-28). What is the greatest common divisor of s and 48?
6
Suppose 43*w = -9*w + 1976. Calculate the greatest common factor of w and 1938.
38
Let d = 897 - 633. Suppose 41*t = 38*t + d. Calculate the highest common factor of t and 8.
8
Let q be 2*1/((-2)/(-31)). Let p = q + -7. Suppose -3*c = -8*c + 1080. What is the greatest common divisor of p and c?
24
Let n(s) = -s**2 - 6*s + 4. Let u be n(-5). Suppose 3*v + 6 = -h + 17, h - 5 = -v. What is the highest common divisor of v and u?
3
Suppose 12 = 3*w + 2*s, -5*w + 4*s = -2*w - 12. Suppose -2*f - 5*x - 11 = 0, 3*f + w = 5*f + 2*x. Calculate the highest common divisor of 21 and f.
7
Let u(k) = -3*k**3 + 9*k**2 - 8*k - 18. Let z be u(-4). Calculate the highest common factor of 40 and z.
10
Suppose 3540 = -9*j + 4*j. Let r be 8/(-52) + 0 + j/(-39). Suppose 2*v = 2*b - 2 + 32, 2*v + 5*b = 51. Calculate the greatest common divisor of r and v.
18
Let t(r) = r**3 + 20*r**2 - 70*r - 19. Let d be t(-23). What is the highest common divisor of d and 156?
4
Let k = -234 - -241. Calculate the greatest common factor of 21 and k.
7
Let b be 1/2 - (-51)/(-6). Let g = b - -12. Let w(n) = -n + 36. Let v be w(0). Calculate the greatest common factor of v and g.
4
Suppose 2*f + 4*k = 68, 5*f = f + k + 154. What is the greatest common divisor of f and 19?
19
Let t(r) be the first derivative of r**2/2 - 5*r + 6. Let u be t(5). Let l(w) = -w**3 + w + 6. Let a be l(u). What is the highest common factor of a and 3?
3
Let o(g) = -6*g - 2. Let z be o(-1). Suppose -2*x + z*c + 128 = 6*c, -3*x = c - 188. Calculate the greatest common divisor of 93 and x.
31
Let x be 16*-1*((-12)/(-48) + -5). What is the highest common factor of x and 12?
4
Suppose -3425 = -4*m - o, 2*m + 0*m = -o + 1715. What is the highest common factor of 19 and m?
19
Suppose 13*n - 15*n = 2. Let w be -1*n/(4/68). What is the greatest common factor of 17 and w?
17
Let v = 11 + -13. Let d be 0 + (v - 0) + 52. Let h = d - 25. Calculate the highest common factor of 125 and h.
25
Let k = 124 + -100. Calculate the greatest common factor of 32 and k.
8
Let p be 1 - (11*-2 + -8 + 6). What is the greatest common divisor of 875 and p?
25
Let o(g) = -16*g + 1. Let i be o(-1). Suppose 0 = 12*t + 27*t - 2652. What is the greatest common divisor of i and t?
17
Let o be (-13)/((-325)/20) - (-6)/5. What is the highest common divisor of o and 46?
2
Let j(b) = b**2 - 2*b - 8. Let w be j(-5). Let n = w - -63. What is the greatest common factor of 9 and n?
9
Let o(q) = q**2 + 2*q + 5. Let h be o(-7). Let n = h + -34. Calculate the highest common divisor of n and 15.
3
Let r = -2254 + 2258. Let m = 39 + -19. What is the highest common divisor of r and m?
4
Let r be (-1)/(((-5)/15)/(2/6)). What is the greatest common divisor of r and 67?
1
Suppose 16*n + 1348 = 308. Suppose -3*p = 2*h + h + 591, 594 = -3*h - 2*p. Let c = n - h. Calculate the highest common factor of 54 and c.
27
Let w be ((3 - 5)/2)/(-1). Suppose 3*k + j - 16 = 0, -j + 4 = -4*k + 4*j. Calculate the highest common divisor of w and k.
1
Let n(z) = z**2 - 10*z + 18. Let p be n(6). Let b(r) = -4*r - 4*r - 2 + 4*r. Let h be b(p). What is the greatest common divisor of 11 and h?
11
Let y(s) = -53*s - 6. Let x be y(-4). Let k = -12 + 17. Suppose -k*c + 44 + x = 0. Calculate the greatest common divisor of c and 10.
10
Let v(p) = -21*p - 11 + 7*p + 5*p + 7*p. Let w be v(-18). What is the highest common divisor of w and 10?
5
Let v be (1 - 4 - 1) + 7. Suppose -s + 32 = -v*f - 0*f, 0 = -s + f + 32. Let l = s + -16. Calculate the greatest common divisor of l and 24.
8
Let r be 7 + -4 + (85 - 0). What is the greatest common factor of 16 and r?
8
Let k = 627 - 623. Calculate the highest common divisor of 26 and k.
2
Let f(n) = n**3 - 7*n**2 + 17*n + 5. Let x be f(9). Calculate the highest common divisor of x and 240.
80
Let n(o) = -35*o**3 - 3*o**2 - o. Let h be n(-2). Suppose 4*g - 57 - 55 = -2*t, 2*g - 44 = -4*t. Calculate the highest common factor of g and h.
30
Suppose 230 = 5*v + 4*r, -5*r + 180 = 2*v + 71. Suppose -j - 350*m = -352*m - 300, -m = 4*j - 1173. What is the greatest common factor of v and j?
42
Let j = -2 - -4. Suppose -2*h = -15 - 1. Suppose -h*d + 18 = d. What is the highest common factor of j and d?
2
Let s(t) = -t**3 - t**2 - 13. Let p be s(0). Let v = -5 - p. Let k(n) = n**3 - 9*n**2 - 9*n + 6. Let u be k(10). What is the highest common divisor of v and u?
8
Let j = 150 + -54. Suppose -b - j = -7*b. Calculate the highest common factor of 8 and b.
8
Let u(g) = 2*g**2 + 13*g - 1. Suppose 3*h = 2*o - 31, o + 0*o + h = 18. Let c = o - 26. Let n be u(c). Calculate the highest common factor of 11 and n.
11
Let h(q) = -595*q**2 - 4*q - 3*q - 3*q + 2 + 5*q. Let v be h(2). Let j be 1/5 + v/(-60). What is the greatest common divisor of j and 100?
20
Let n(b) = b**2 - 7*b + 18. Let z be n(4). Let s be 37/4 - 12/(-16). What is the greatest common factor of z and s?
2
Suppose 3*a = -2*a. Suppose a = 5*c - 5*y - 420, 224 = 5*c - 4*y - 192. Calculate the highest common factor of 20 and c.
20
Let s(v) = -2*v**3 + 39*v**2 + 26*v + 114. Let y be s(20). What is the greatest common divisor of 104 and y?
26
Let y(g) = 9*g. Let i be y(3). Let b(a) = 7*a + 73. Let c be 20*2*(-2)/8. Let x be b(c). What is the greatest common divisor of i and x?
3
Let u be (-1 + -2)/((-9735)/(-696) + -14). Calculate the highest common factor of u and 87.
29
Let s be (3 + -2)/(1/11). Suppose -s*k = -14*k + 75. Calculate the highest common divisor of k and 225.
25
Let r(q) = q**3 - 3*q**2 + 2*q + 2. Let p be r(3). Suppose 3*k = 2*u + p, -k = 3*k + 2*u - 34. Calculate the greatest common divisor of 6 and k.
6
Let g(d) = 2*d**2 + 16*d - 19. Let k be g(-12). Let l = -21 + k. Calculate the highest common factor of 7 and l.
7
Let p be (111300/(-9))/(-10) + 4/(-6). What is the highest common factor of p and 36?
12
Let i(g) = g**2 - 11*g + 18. Let w be i(11). Calculate the highest common divisor of 9 and w.
9
Let o(f) = 2*f**2 - 21*f - 38. Let b be o(-6). What is the highest common divisor of 8 and b?
8
Let v = -330 - -340. Calculate the highest common factor of v and 50.
10
Let a = 47 - 19. Let c be 42/a - (-7)/2. Suppose -50 = -c*g - 2*j, 2*j = 5*g - j - 75. What is the greatest common divisor of 18 and g?
6
Let l be -9 + 9 + 7*8. Let i be (-24)/l - 3030/(-14). Calculate the highest common factor of i and 24.
24
Let o(b) = -5 -
|
{
"pile_set_name": "DM Mathematics"
}
|
e factors of 587973?
3, 195991
List the prime factors of 7499566.
2, 19, 151, 1307
What are the prime factors of 6851027?
1427, 4801
What are the prime factors of 2179377?
3, 103, 2351
What are the prime factors of 1686874?
2, 7, 2459
List the prime factors of 797708.
2, 17, 11731
What are the prime factors of 57438?
2, 3, 3191
List the prime factors of 674055.
3, 5, 4993
What are the prime factors of 40882?
2, 20441
What are the prime factors of 425084?
2, 11, 9661
What are the prime factors of 4704846?
2, 3, 37, 21193
List the prime factors of 146346.
2, 3, 24391
What are the prime factors of 242394?
2, 3, 71, 569
List the prime factors of 10678882.
2, 59, 90499
What are the prime factors of 1031035?
5, 19, 10853
List the prime factors of 21062523.
3, 331, 21211
List the prime factors of 453960.
2, 3, 5, 13, 97
List the prime factors of 3585559.
37, 96907
List the prime factors of 507582.
2, 3, 163, 173
What are the prime factors of 1276952?
2, 19, 31, 271
What are the prime factors of 5645758?
2, 2822879
What are the prime factors of 3456237?
3, 1152079
What are the prime factors of 478092?
2, 3, 39841
What are the prime factors of 13224574?
2, 11, 54647
List the prime factors of 1017957.
3, 23, 14753
List the prime factors of 9629293.
17, 566429
What are the prime factors of 39949?
7, 13, 439
What are the prime factors of 124643?
124643
What are the prime factors of 35059?
35059
What are the prime factors of 1361705?
5, 272341
What are the prime factors of 215911?
71, 3041
What are the prime factors of 692371?
692371
What are the prime factors of 5848904?
2, 731113
What are the prime factors of 15017019?
3, 43, 116411
What are the prime factors of 1144973?
1144973
List the prime factors of 99193.
281, 353
List the prime factors of 195830.
2, 5, 19583
List the prime factors of 200651.
11, 17, 29, 37
List the prime factors of 133661.
11, 29, 419
List the prime factors of 138216.
2, 3, 13, 443
What are the prime factors of 64492?
2, 23, 701
What are the prime factors of 26073?
3, 2897
List the prime factors of 5672182.
2, 467, 6073
What are the prime factors of 2621844?
2, 3, 67, 1087
What are the prime factors of 310431?
3, 11, 23, 409
List the prime factors of 2114820.
2, 3, 5, 31, 379
What are the prime factors of 617810?
2, 5, 61781
List the prime factors of 69733.
137, 509
What are the prime factors of 454037?
43, 10559
What are the prime factors of 4646808?
2, 3, 71, 101
What are the prime factors of 523298?
2, 19, 47, 293
What are the prime factors of 1011878?
2, 7, 72277
What are the prime factors of 2373735?
3, 5, 7, 13, 37, 47
List the prime factors of 3725017.
3725017
List the prime factors of 435643.
13, 23, 31, 47
List the prime factors of 5471207.
7, 781601
List the prime factors of 929375.
5, 1487
List the prime factors of 1138702.
2, 431, 1321
What are the prime factors of 1032945?
3, 5, 68863
What are the prime factors of 93856?
2, 7, 419
What are the prime factors of 707322?
2, 3, 7, 11, 1531
List the prime factors of 35150.
2, 5, 19, 37
List the prime factors of 83063.
83063
List the prime factors of 12148087.
7, 19, 241, 379
List the prime factors of 3066255.
3, 5, 67, 113
What are the prime factors of 239003?
17, 827
What are the prime factors of 566814?
2, 3, 17, 5557
What are the prime factors of 16407317?
19, 37, 23339
List the prime factors of 2659266.
2, 3, 157, 941
List the prime factors of 2771946.
2, 3, 153997
List the prime factors of 1887159.
3, 107, 5879
What are the prime factors of 289217?
29, 9973
What are the prime factors of 10617548?
2, 2654387
List the prime factors of 437271.
3, 145757
What are the prime factors of 1055948?
2, 29, 9103
List the prime factors of 9711359.
7, 23, 1231
What are the prime factors of 16209689?
47, 344887
List the prime factors of 208886.
2, 19, 23, 239
List the prime factors of 10681423.
17, 628319
What are the prime factors of 406266?
2, 3, 7, 17, 569
What are the prime factors of 12994168?
2, 11, 147661
List the prime factors of 4006118.
2, 17, 29, 239
What are the prime factors of 9431?
9431
What are the prime factors of 1131504?
2, 3, 11, 2143
List the prime factors of 4153447.
4153447
What are the prime factors of 1261949?
13, 97073
What are the prime factors of 843365?
5, 168673
What are the prime factors of 164762?
2, 13, 6337
List the prime factors of 1656097.
19, 101, 863
What are the prime factors of 107209?
107209
List the prime factors of 15902554.
2, 107, 74311
What are the prime factors of 426432?
2, 3, 2221
What are the prime factors of 847889?
7, 59, 2053
List the prime factors of 508884.
2, 3, 42407
List the prime factors of 872190.
2, 3, 5, 11, 881
What are the prime factors of 2389549?
139, 17191
List the prime factors of 545687.
191, 2857
What are the prime factors of 14581195?
5, 23, 103, 1231
What are the prime factors of 30607584?
2, 3, 7, 37, 1231
What are the prime factors of 4071662?
2, 7, 19, 15307
What are the prime factors of 328149?
3, 19, 101
What are the prime factors of 7321?
7321
List the prime factors of 151499.
151499
List the prime factors of 6323437.
191, 33107
What are the prime factors of 540336?
2, 3, 11257
What are the prime factors of 2393138?
2, 11, 29, 31
List the prime factors of 4581768.
2, 3, 29, 227
List the prime factors of 88092.
2, 3, 2447
What are the prime factors of 7071478?
2, 3535739
List the prime factors of 304130.
2, 5, 17, 1789
List the prime factors of 95122.
2, 199, 239
What are the prime factors of 265407?
3, 88469
List the prime factors of 12972901.
12972901
List the prime factors of 417094.
2, 347, 601
List the prime factors of 12336696.
2, 3, 17, 10079
List the prime factors of 54233.
193, 281
List the prime factors of 1281353.
23, 55711
What are the prime factors of 2248772?
2, 562193
What are the prime factors of 16732579?
16732579
List the prime factors of 20447110.
2, 5, 41, 49871
List the prime factors of 1399857.
3, 466619
List the prime factors of 7106426.
2, 239, 14867
List the prime factors of 2843973.
3, 11, 23, 1249
List the prime factors of 19604121.
3, 31, 277, 761
What are the prime factors of 1086442?
2, 7, 71, 1093
What are the prime factors of 11849966?
2, 5924983
List the prime factors of 13260803.
19, 697937
List the prime factors of 1241973.
3, 19, 269
What are the prime factors of 226415?
5, 7, 6469
List the prime factors of 6135492.
2, 3, 11, 53, 877
What are the prime factors of 22754882?
2, 11377441
List the prime factors of 37546257.
3, 7, 499, 3583
What are the prime factors of 6362288?
2, 397643
What are the prime factors of 123667?
123667
List the prime factors of 788117.
11, 71647
List the prime factors of 9143309.
7, 71, 18397
List the prime factors of 2921928.
2, 3, 211, 577
List the prime factors of 1370982.
2, 3, 17, 13441
What are the prime factors of 3867871?
7, 552553
What are the prime factors of 191753?
337, 569
What are the prime factors of 1008029?
11, 91639
List the prime factors of 389865.
3, 5, 7, 47, 79
What are the prime factors of 783426?
2, 3, 7, 23, 811
What are the prime factors of 612976?
2, 7, 13, 421
What are the prime factors of 3133123?
7, 37, 12097
List the prime factors of 645965.
5, 129193
What are the prime factors of 25650679?
1459, 17581
List the prime factors of 642472.
2, 80309
List the prime factors of 17201014.
2, 151, 56957
What are the prime factors of 365475?
3, 5, 11, 443
What are the prime factors of 1220819?
1220819
List the prime factors of 748163.
13, 19, 233
What are the prime factors of 8239575?
3, 5, 61, 1801
List the prime factors of 85938.
2, 3, 14323
What are the prime factors of 360247?
17, 21191
List the prime factors of 327423.
3, 109141
What are the prime factors of 2190813?
3, 211, 3461
What are the prime factors of 32840?
2, 5, 821
List the prime factors of 1276999.
1276999
What are the prime factors of 2469043?
863, 2861
List the prime factors of 216441.
3, 24049
What are the prime factors of 2480014?
2, 1240007
List the prime factors of 6741486.
2, 3, 17, 22031
List the prime factors of 696890.
2, 5, 227, 307
List the prime factors of 3155769.
3, 31, 11311
List the prime factors of 10373835.
3, 5, 691589
List the prime factors of 281366.
2, 140683
List the prime factors of 1125923.
1125923
List the prime factors of 22614
|
{
"pile_set_name": "DM Mathematics"
}
|
59. Determine b(w(s)).
-2500*s**2 - 5900*s - 3481
Let o(h) = -82*h + 153*h - 2*h**2 - 71*h. Let t(d) be the second derivative of -25*d**3/6 - d - 14. Calculate t(o(q)).
50*q**2
Let k(w) = 61*w - 9 + 42 - 16 - 17. Let h(c) = 15*c. Determine h(k(x)).
915*x
Let g(c) = -2*c**2. Let j(b) be the first derivative of -11*b**3/6 + 21*b + 16. Let n(h) be the first derivative of j(h). Calculate g(n(y)).
-242*y**2
Let r(k) = -603*k + 8. Let x(a) = 226*a - 3. Let n(w) = -3*r(w) - 8*x(w). Let u(h) be the first derivative of 5*h**2/2 - 4. Determine n(u(c)).
5*c
Let n(w) = -1269*w**2 + 1255*w**2 + 2*w - 7*w. Let t(p) = -132*p**2 - 48*p. Let c(k) = 48*n(k) - 5*t(k). Let d(l) = 22*l. Calculate d(c(f)).
-264*f**2
Let d(c) = 2134 - 4*c**2 - 1374*c + 1381*c - 2134. Let f(g) = g**2 + 4*g + 4. Let l(j) = 2*j**2 + 7*j + 7. Let q(i) = -7*f(i) + 4*l(i). What is q(d(a))?
16*a**4 - 56*a**3 + 49*a**2
Let v(a) = 19383*a**2. Let f(c) = 7*c**2 + 39. Calculate f(v(i)).
2629904823*i**4 + 39
Let b(z) = -2764*z**2 - 232*z**2 + 683*z**2. Let y(k) = -k**2. What is y(b(t))?
-5349969*t**4
Let d(v) = 786*v**2 - 3. Let c(a) be the second derivative of -a**3/6 + 975*a + 2. Calculate d(c(h)).
786*h**2 - 3
Let a(k) = -4663*k**2. Let q(n) = -383*n + 150*n + 233*n + 3*n**2. Determine a(q(w)).
-41967*w**4
Let f(b) be the first derivative of 13*b**5/30 - b**2/2 + 17*b + 54. Let r(d) be the second derivative of f(d). Let j(m) = m - 4*m + m. Give r(j(s)).
104*s**2
Let a(j) = -2*j**2. Let b = 133 - 130. Let r(v) be the first derivative of 2*v**b + 54*v - 111*v + 55*v + 38. What is a(r(i))?
-72*i**4 + 48*i**2 - 8
Let s(d) = -1 + 7*d + 9*d + 3. Let k(r) = 15*r**2 - 8. Let n(f) = -19*f**2 + 10. Let v(h) = -5*k(h) - 4*n(h). Calculate v(s(o)).
256*o**2 + 64*o + 4
Let t(l) = 3002*l. Let h(w) = -140*w**2 + 412*w**2 - 137*w**2 - 137*w**2. Determine t(h(j)).
-6004*j**2
Let i(w) = -467*w + 1425*w - 949*w. Let r(d) be the second derivative of d**3/3 - d. Determine i(r(n)).
18*n
Let b(d) = 7*d**2 - 5025. Let s(o) = 108*o. Determine s(b(p)).
756*p**2 - 542700
Let s(g) = -2*g**2. Let b(t) = 25*t - 31110836. Calculate b(s(l)).
-50*l**2 - 31110836
Let a = -4 + 6. Let f(u) = -4*u**a + 8*u**2 - 5*u**2. Let x(v) be the third derivative of -v**5/60 - 2*v**2 - v + 224. Determine f(x(b)).
-b**4
Let w(s) = -s**2. Let r(n) = n. Let m(v) = -114*v. Let o = 453 + -454. Let g(f) = o*m(f) - 190*r(f). Determine w(g(u)).
-5776*u**2
Let c(i) = -20*i + 8. Let g(m) = -14*m + 6. Let v(s) = 3*c(s) - 4*g(s). Let f(n) = -6*n**2 + 3*n. Give v(f(t)).
24*t**2 - 12*t
Let x(t) = -9*t + 1. Let f(z) = 16*z**2 - 20*z + 16. Give f(x(o)).
1296*o**2 - 108*o + 12
Let p(s) = -9*s + 25. Let d(r) = 8*r - 20. Let j(q) = -10*d(q) - 8*p(q). Let o(k) = -791*k**2. Give j(o(v)).
6328*v**2
Let l = -420 - -440. Let x(p) = -l*p + 18*p - 2*p - 2*p. Let h(b) = 8*b - 4. Determine h(x(z)).
-48*z - 4
Let q(f) = 12*f**2. Suppose 145 - 163 = -2*l. Let g(v) = -3*v + 6. Let j(a) = 3*a - 4. Let y(b) = l*j(b) + 6*g(b). Give y(q(t)).
108*t**2
Let t = -68 + 135. Let g = 71 - t. Let i(b) = g*b - 5*b - 4*b. Let k(y) = y. What is i(k(q))?
-5*q
Let k(h) = -71*h - 73*h + 305*h - 91*h - 64*h. Let d(a) = 413*a**2. What is k(d(b))?
2478*b**2
Let n(y) = 297*y**2 + y. Let d(a) = -2648725 + 2648725 - 3*a. What is d(n(t))?
-891*t**2 - 3*t
Let x(y) = -y**2. Let n(s) = 3759574*s**2. Give x(n(r)).
-14134396661476*r**4
Let y(l) = -14*l. Let z(j) be the second derivative of 7*j**4/24 - 25*j**2/2 + 149*j. Let v(r) be the first derivative of z(r). Determine v(y(g)).
-98*g
Let g be -1*(3 - 3 - 9). Let a(p) = p - 10*p - g*p. Let m(n) = -2716 + n**2 + 0*n**2 + 2716. Calculate a(m(y)).
-18*y**2
Let f(z) = 11*z. Let k(c) = -3*c**2 + c**2 - 55 - 69 + 203. Determine f(k(w)).
-22*w**2 + 869
Let m(b) = b + 176509 - 176509. Let g(u) = -9809*u. Give g(m(v)).
-9809*v
Let n(t) = -36*t. Let j(p) = -14*p. Let w(s) = -5*j(s) + 2*n(s). Let y(m) = -97*m - 31*m + 5*m. Determine w(y(a)).
246*a
Let i(z) = -2*z. Let l(f) = -23*f**2 + 1 + 30*f**2 + 0 - 2*f**2 - 3. Calculate l(i(u)).
20*u**2 - 2
Let a(m) be the first derivative of 2*m**3/3 + m**2 + 1. Let h(x) = 13*x - 96. Let n(z) = -15*z + 108. Let k(y) = -9*h(y) - 8*n(y). What is a(k(w))?
18*w**2 + 6*w
Let v(u) = -81*u. Let q(a) = a**2 - 2*a - 2385. Give v(q(b)).
-81*b**2 + 162*b + 193185
Let w(z) = 3*z. Let s(i) = 21863623*i**2. Give w(s(h)).
65590869*h**2
Let m(q) = 264*q**2 - 295*q**2 - 358*q**2. Let s(t) = -5*t**2. What is m(s(d))?
-9725*d**4
Let w be (-6)/(-9)*(-6)/(-2). Let g(l) = -5*l**2 + 14*l**w - 7*l**2. Let o(u) be the second derivative of -19*u**4/12 - u**2 - 4*u + 24. Give g(o(f)).
722*f**4 + 152*f**2 + 8
Let o(b) = -134*b - 17. Let j(g) = 30*g + 4. Let d(y) = 9*j(y) + 2*o(y). Let h(c) = -8*c**2. Determine d(h(r)).
-16*r**2 + 2
Let m(q) be the third derivative of -q**5/60 + q**2. Let z(x) = x**2 - 13*x + 46. Let b be z(12). Let c(p) = -14*p + b*p - 14*p. Calculate c(m(y)).
-6*y**2
Let z(y) = 20*y. Suppose 66 = -v + 2. Let r = v - -67. Let a(c) = -2*c**2 + r*c**2 + 2*c - 2*c. What is z(a(b))?
20*b**2
Let j(r) = 237*r - 2. Let c(q) = 3*q**2 + 5*q - 277. Determine c(j(h)).
168507*h**2 - 1659*h - 275
Let g(t) = 3*t**2. Let v(c) = 6940159*c. What is v(g(m))?
20820477*m**2
Let k(d) = -26*d. Let h(g) = 173706*g**2. Calculate h(k(s)).
117425256*s**2
Let b(l) = -18*l. Let h(c) = -85*c**2 + 34*c - 68. Let z(q) = -11*q**2 + 4*q - 8. Let g(t) = 6*h(t) - 51*z(t). Calculate b(g(n)).
-918*n**2
Let l(x) = 17*x**2. Let n(t) = 40*t + 0*t + 0*t - 7*t - 148*t**2 - 35*t. Determine n(l(r)).
-42772*r**4 - 34*r**2
Let t(z) = 17*z**2. Let v(g) be the first derivative of 2*g**3/3 + 34*g + 86. Let u(y) be the first derivative of v(y). Calculate t(u(c)).
272*c**2
Let d(z) = -2*z - 5. Let i = -17859 - -25529. Let c(o) = i*o**2 - o + 2*o - o - 7669*o**2. What is c(d(f))?
4*f**2 + 20*f + 25
Let m(p) = 7*p**2 - 7*p - 65. Let h(x) = -333*x. What is m(h(v))?
776223*v**2 + 2331*v - 65
Let o(u) = -u**2. Let i(p) = 10060375*p. What is i(o(b))?
-10060375*b**2
Let i(h) = -14873288*h**2. Let f(u) = -u. Determine f(i(t)).
14873288*t**2
Let k(z) = -12*z + 20. Let u(n) = 5*n - 8. Let m(x) = -2*k(x) - 5*u(x). Let i(t) = -42*t. Let q(o) = -o. Let v(p) = -i(p) + 63*q(p). Calculate m(v(f)).
21*f
Let r(b) = -14*b. Let c(v) = 46*v**2 + 14545. Determine r(c(z)).
-644*z**2 - 203630
Let z(x) = -x. Let g(d) = -16*d + 5. Let v(h) = -16*h + 24 + 32 + h - 81 + 32. Let t(k) = -4*g(k) + 3*v(k). Calculate t(z(a)).
-19*a + 1
Let b(p) = 5746*p. Let a(s) = -5968*s. What is a(b(i))?
-34292128*i
Let b(t) = -17*t. Let o(r) = -25*r. Let z(i) = 3*b(i) - 2*o(i). Let j(d) = 3*d + 66. Calculate j(z(v)).
-3*v + 66
Let m(z) = -99*z**2. Let v(t) be the second derivative of 7*t**4/6 - 445*t. Calculate v(m(u)).
137214*u**4
Let x(j) be the second derivative of 21*j**4/8 - 48*j**2 + 131*j. Let a(v) be the first derivative of x(v). Let o(f) = -2*f. What is o(a(r))?
-126*r
Let v(p) = -1232 + 625 + 607 - p**2. Let r(o) = -601*o. Calculate r(v(s)).
601*s**2
Let n(l) = 6*l. Let t = 34 + 14. Let w(b) = -t*b - 4*b + 0*b + 7*b + b. Determine n(w(m)).
-264*m
Let j(l) = -31*l. Let s(i) be the first derivative of 22262*i**3 - 22265*i**3 + 49 + 67. Give s(j(h)).
-8649*h**2
Let j(y) = y + 4. Let a(c) = 240*c + 4. Let s(l) = -a(l) + j(l). Let t(n) = 11*n. Give s(t(w)).
-2629*w
Suppose f - 8*s - 20 = -10*s, -5*f + s = -78. Let c(z) = -9*z + f*z - z. Let a(b) be the first derivative of -7*b**2/2 - 36. Determine a(c(g)).
-42*g
Let a(q) = -26*q + 65. Let w(y) = -5*y + 13. Let c(o) = -a(o) + 5*w(o). Let m(u) = -123*u + 1. What is m(c(d))?
-123*d + 1
Let y(t) = -30102260*t + 256536. Let g(z) = -4107*z + 35. Let o(q) = -36648*g(q) + 5*y(q). Let m(l) = -2*l**2. Determine m(o(p)).
-8290592*p**2
Let q(r) = -12238*r. Let v(b) = -185*b**2. Give v(q(k)).
-27707199140*k**2
Let k(c) = -3*c. Let h(j) be the first derivative of j**3/3 + 7*j**2/2 - 22. Let z(l) = -3*h(l) - 7*k(l). Let p(i) = i. Calculate p(z(a)).
-3*a**2
Let s(i) = 9*i**2 + 11. Let p(q) = -5*q**2 - 6. Let t(u) = -11*p(u) - 6*s(u). Let c(z) = z. Let n(f) = 5*f. Let k(o) = -c(o) - n(o). Give t(k(w)).
36*w**2
Let x(i) = -i. Let y be (((-392)/21)/2)/((-6)/9). Let j(d) = 3*d**2 - 2*d**2 - 53 + y - 22. Give x(j(q)).
-q**2 + 61
Let b(f) be the third derivative of 16*f**5/15 - 571*f**2
|
{
"pile_set_name": "DM Mathematics"
}
|
25436, 57024, 101196, 157958, 227316, 309276, 403844?
u**3 + 6283*u**2 + 154*u - 12
What is the x'th term of -2302, -3096, -3890, -4684, -5478?
-794*x - 1508
What is the x'th term of 250668, 501309, 751938, 1002561, 1253184, 1503813?
x**3 - 12*x**2 + 250670*x + 9
What is the x'th term of -8938894, -35755564, -80450008, -143022220, -223472194, -321799924, -438005404?
x**3 - 8938893*x**2 + 2*x - 4
What is the i'th term of -4709, -9531, -14353, -19175, -23997?
-4822*i + 113
What is the r'th term of -271264, -271265, -271262, -271255?
2*r**2 - 7*r - 271259
What is the w'th term of -53814795, -107629595, -161444395, -215259195, -269073995, -322888795?
-53814800*w + 5
What is the r'th term of 1259, 10217, 34599, 82115, 160475, 277389, 440567?
1285*r**3 + 2*r**2 - 43*r + 15
What is the s'th term of 204605, 204662, 204727, 204806, 204905, 205030, 205187, 205382?
s**3 - 2*s**2 + 56*s + 204550
What is the k'th term of -217, -1805, -6115, -14503, -28325, -48937, -77695?
-226*k**3 - 5*k**2 + 9*k + 5
What is the t'th term of 88755, 88871, 88987?
116*t + 88639
What is the l'th term of 18130742, 18130750, 18130758?
8*l + 18130734
What is the x'th term of 13865781, 13865787, 13865793, 13865799, 13865805?
6*x + 13865775
What is the i'th term of 2827176, 2827184, 2827192, 2827200, 2827208, 2827216?
8*i + 2827168
What is the o'th term of 14785561, 29571061, 44356561, 59142061?
14785500*o + 61
What is the z'th term of 434153, 868315, 1302477, 1736639, 2170801?
434162*z - 9
What is the j'th term of -385, -1531, -3173, -5317, -7969, -11135, -14821?
-j**3 - 242*j**2 - 413*j + 271
What is the t'th term of 133811208, 267622421, 401433634?
133811213*t - 5
What is the b'th term of -297528, -595048, -892568?
-297520*b - 8
What is the n'th term of 292784663, 585569327, 878353991, 1171138655, 1463923319, 1756707983?
292784664*n - 1
What is the b'th term of 233528296, 467056591, 700584886?
233528295*b + 1
What is the c'th term of 1870, 46, -1768, -3566, -5342, -7090?
c**3 - c**2 - 1828*c + 3698
What is the i'th term of 15751179, 15751177, 15751175, 15751173?
-2*i + 15751181
What is the y'th term of -573, -514, 801, 4002, 9719, 18582, 31221?
105*y**3 - 2*y**2 - 670*y - 6
What is the t'th term of 15551, 30694, 45849, 61022, 76219, 91446, 106709?
t**3 + 15136*t + 414
What is the g'th term of -14436693, -14436691, -14436689?
2*g - 14436695
What is the k'th term of -2704791, -5409590, -8114397, -10819212?
-4*k**2 - 2704787*k
What is the p'th term of 1153219, 2306466, 3459715, 4612966, 5766219?
p**2 + 1153244*p - 26
What is the h'th term of -10087, -10297, -10507, -10717, -10927?
-210*h - 9877
What is the c'th term of 18941, 37958, 56975?
19017*c - 76
What is the a'th term of -53442, -107076, -160710?
-53634*a + 192
What is the f'th term of 56350, 112847, 169490, 226279, 283214, 340295, 397522?
73*f**2 + 56278*f - 1
What is the k'th term of 468071984, 468071988, 468071994, 468072002, 468072012, 468072024, 468072038?
k**2 + k + 468071982
What is the v'th term of -143869, -143839, -143809?
30*v - 143899
What is the b'th term of 6706601, 13413166, 20119731, 26826296, 33532861, 40239426?
6706565*b + 36
What is the m'th term of -2390, -4339, -6288, -8237, -10186, -12135?
-1949*m - 441
What is the v'th term of -21622, -23744, -25866?
-2122*v - 19500
What is the n'th term of 3106346, 3106349, 3106354, 3106361, 3106370, 3106381, 3106394?
n**2 + 3106345
What is the d'th term of 52369, 50989, 48689, 45469, 41329?
-460*d**2 + 52829
What is the h'th term of 114288, 114252, 114192, 114108, 114000?
-12*h**2 + 114300
What is the k'th term of -2662241, -2662239, -2662237, -2662235, -2662233, -2662231?
2*k - 2662243
What is the d'th term of 8316, 5734, 3152, 570?
-2582*d + 10898
What is the c'th term of -20035, -35677, -51323, -66973, -82627, -98285?
-2*c**2 - 15636*c - 4397
What is the f'th term of 434726, 434361, 433996, 433631, 433266, 432901?
-365*f + 435091
What is the k'th term of -345433, -690946, -1036459?
-345513*k + 80
What is the d'th term of -116051, -116114, -116175, -116234?
d**2 - 66*d - 115986
What is the v'th term of 389177, 1556696, 3502561, 6226772, 9729329, 14010232, 19069481?
389173*v**2 + 4
What is the w'th term of 792, -246, -1982, -4422, -7572?
-w**3 - 343*w**2 - 2*w + 1138
What is the l'th term of 58058, 54693, 49090, 41255, 31194, 18913?
l**3 - 1125*l**2 + 3*l + 59179
What is the m'th term of -11374362, -11374382, -11374430, -11374518, -11374658, -11374862, -11375142, -11375510?
-2*m**3 - 2*m**2 - 11374358
What is the z'th term of -68596, -273410, -614458, -1091734, -1705232, -2454946, -3340870, -4362998?
z**3 - 68123*z**2 - 452*z - 22
What is the h'th term of 41344037, 41344036, 41344035?
-h + 41344038
What is the b'th term of -17643, -80648, -185657, -332670, -521687, -752708, -1025733?
-21002*b**2 + b + 3358
What is the d'th term of -899440, -899447, -899454?
-7*d - 899433
What is the m'th term of -76112, -74112, -72114, -70118, -68124, -66132, -64142?
-m**2 + 2003*m - 78114
What is the f'th term of -35527, -67604, -99681?
-32077*f - 3450
What is the s'th term of -94716, -189457, -284212, -378981, -473764?
-7*s**2 - 94720*s + 11
What is the i'th term of -1000, -3227, -6698, -11413, -17372?
-622*i**2 - 361*i - 17
What is the c'th term of 9570, 19116, 28616, 38046, 47382?
-4*c**3 + c**2 + 9571*c + 2
What is the t'th term of 8985, 18043, 27173, 36387, 45697, 55115?
2*t**3 + 24*t**2 + 8972*t - 13
What is the x'th term of -2155424, -4310851, -6466278?
-2155427*x + 3
What is the o'th term of 6666838, 6666835, 6666832, 6666829?
-3*o + 6666841
What is the u'th term of 744197, 1488631, 2233065, 2977499, 3721933, 4466367?
744434*u - 237
What is the v'th term of 15810, 17461, 19114, 20769, 22426, 24085?
v**2 + 1648*v + 14161
What is the n'th term of -280035503, -280035502, -280035501, -280035500, -280035499?
n - 280035504
What is the h'th term of 7608, 30383, 68350, 121509, 189860?
7596*h**2 - 13*h + 25
What is the p'th term of 23789, 95108, 213969, 380378, 594341?
p**3 + 23765*p**2 + 17*p + 6
What is the z'th term of 30294, 46814, 63334, 79854, 96374?
16520*z + 13774
What is the l'th term of -12738, -21526, -30312, -39096?
l**2 - 8791*l - 3948
What is the l'th term of -3279, -6522, -9683, -12720, -15591, -18254, -20667?
7*l**3 - l**2 - 3289*l + 4
What is the t'th term of -90942713, -181885423, -272828133, -363770843?
-90942710*t - 3
What is the i'th term of -1426, -11296, -38052, -90136, -175990, -304056?
-1407*i**3 - i**2 - 18*i
What is the j'th term of -806862, -1613727, -2420600, -3227487, -4034394, -4841327?
-j**3 + 2*j**2 - 806864*j + 1
What is the q'th term of -28891, -56175, -83459, -110743?
-27284*q - 1607
What is the o'th term of 18578354, 18578355, 18578356, 18578357?
o + 18578353
What is the x'th term of -4420, -17835, -40212, -71563, -111900?
-2*x**3 - 4469*x**2 + 6*x + 45
What is the n'th term of 65656, 131196, 196742, 262300, 327876, 393476, 459106, 524772?
n**3 - 3*n**2 + 65542*n + 116
What is the o'th term of 855, 1110, 1479, 1962, 2559?
57*o**2 + 84*o + 714
What is the c'th term of 8659415, 8659414, 8659413?
-c + 8659416
What is the y'th term of 8202836, 16405666, 24608488, 32811302, 41014108, 49216906?
-4*y**2 + 8202842*y - 2
What is the q'th term of -5633154, -11266306, -16899456, -22532604, -28165750?
q**2 - 5633155*q
What is the n'th term of -15422, -16994, -19618, -23294, -28022, -33802, -40634?
-526*n**2 + 6*n - 14902
What is the q'th term of 500, 424, -208, -1396, -3140, -5440?
-278*q**2 + 758*q + 20
What is the l'th term of 560875, 1121931, 1682987, 2244043?
561056*l - 181
What is the c'th term of -2742189, -2742188, -2742177, -2742150, -2742101, -2742024, -2741913?
c**3 - c**2 - 3*c - 2742186
What is the z'th term of -54758, -56258, -57758, -59258, -60758?
-1500*z - 53258
What is the j'th term of 1632988, 3265978, 4898968, 6531958, 8164948?
1632990*j - 2
What is the s'th term of -244478, -244438, -244432, -244478, -244594, -244798, -245108, -245542?
-3*s**3 + s**2 + 58*s - 244534
What is the v'th term of 296363, 296348, 296335, 296324, 296315, 296308, 296303?
v**2 - 18*v + 296380
What is the n'th term of -32979, -32921, -32819, -32673, -32483?
22*n**2 - 8*n - 32993
What is the y'th term of 66666320, 133332639, 199998958, 266665277, 333331596, 399
|
{
"pile_set_name": "DM Mathematics"
}
|
:38 AM?
3:59 AM
What is 472 minutes after 6:48 PM?
2:40 AM
How many minutes are there between 11:17 PM and 7:22 AM?
485
How many minutes are there between 1:35 PM and 10:19 PM?
524
How many minutes are there between 11:51 AM and 2:12 PM?
141
How many minutes are there between 6:11 PM and 9:28 PM?
197
What is 644 minutes before 8:22 AM?
9:38 PM
What is 373 minutes before 12:24 AM?
6:11 PM
How many minutes are there between 6:30 PM and 4:17 AM?
587
What is 557 minutes before 4:58 AM?
7:41 PM
How many minutes are there between 6:01 AM and 1:51 PM?
470
How many minutes are there between 7:31 PM and 12:01 AM?
270
What is 123 minutes after 2:52 AM?
4:55 AM
How many minutes are there between 6:12 PM and 8:46 PM?
154
How many minutes are there between 10:45 AM and 9:15 PM?
630
How many minutes are there between 6:13 AM and 8:16 AM?
123
How many minutes are there between 9:38 AM and 6:56 PM?
558
How many minutes are there between 1:44 PM and 11:32 PM?
588
What is 194 minutes after 8:45 AM?
11:59 AM
How many minutes are there between 8:54 AM and 3:10 PM?
376
How many minutes are there between 8:39 PM and 5:24 AM?
525
What is 636 minutes after 10:35 PM?
9:11 AM
How many minutes are there between 2:30 AM and 9:11 AM?
401
What is 547 minutes after 12:34 AM?
9:41 AM
What is 185 minutes after 12:59 AM?
4:04 AM
How many minutes are there between 12:30 PM and 3:20 PM?
170
How many minutes are there between 9:49 PM and 11:25 PM?
96
What is 25 minutes before 3:32 AM?
3:07 AM
How many minutes are there between 4:38 PM and 11:23 PM?
405
How many minutes are there between 12:41 PM and 12:21 AM?
700
How many minutes are there between 5:10 PM and 11:03 PM?
353
What is 655 minutes before 9:28 AM?
10:33 PM
What is 209 minutes after 9:15 PM?
12:44 AM
How many minutes are there between 7:31 AM and 3:58 PM?
507
What is 331 minutes after 12:22 PM?
5:53 PM
How many minutes are there between 5:28 PM and 6:50 PM?
82
What is 430 minutes after 9:15 AM?
4:25 PM
What is 662 minutes after 8:13 PM?
7:15 AM
How many minutes are there between 6:23 PM and 5:23 AM?
660
How many minutes are there between 7:42 AM and 7:54 AM?
12
What is 159 minutes after 1:43 PM?
4:22 PM
How many minutes are there between 6:54 AM and 9:23 AM?
149
How many minutes are there between 7:18 AM and 2:00 PM?
402
What is 115 minutes after 5:35 AM?
7:30 AM
How many minutes are there between 8:59 AM and 1:23 PM?
264
How many minutes are there between 11:04 AM and 5:29 PM?
385
How many minutes are there between 8:30 AM and 1:16 PM?
286
How many minutes are there between 11:31 PM and 3:55 AM?
264
What is 353 minutes after 5:56 PM?
11:49 PM
What is 524 minutes before 1:37 AM?
4:53 PM
What is 700 minutes after 1:36 PM?
1:16 AM
What is 165 minutes after 9:24 PM?
12:09 AM
What is 585 minutes after 2:25 AM?
12:10 PM
What is 337 minutes after 10:58 AM?
4:35 PM
How many minutes are there between 12:00 PM and 12:40 PM?
40
How many minutes are there between 6:35 PM and 4:20 AM?
585
What is 443 minutes after 3:32 PM?
10:55 PM
How many minutes are there between 2:07 PM and 2:32 PM?
25
What is 616 minutes after 8:07 AM?
6:23 PM
What is 25 minutes before 10:11 AM?
9:46 AM
How many minutes are there between 9:21 PM and 1:36 AM?
255
What is 709 minutes after 12:39 AM?
12:28 PM
What is 625 minutes after 5:48 PM?
4:13 AM
What is 514 minutes before 4:14 AM?
7:40 PM
How many minutes are there between 8:33 AM and 4:57 PM?
504
What is 92 minutes before 9:08 PM?
7:36 PM
What is 503 minutes after 6:31 AM?
2:54 PM
What is 661 minutes before 9:41 AM?
10:40 PM
How many minutes are there between 5:28 PM and 2:05 AM?
517
What is 353 minutes after 12:29 AM?
6:22 AM
How many minutes are there between 2:14 AM and 5:00 AM?
166
What is 643 minutes before 7:20 PM?
8:37 AM
What is 667 minutes before 7:07 AM?
8:00 PM
What is 416 minutes before 11:49 AM?
4:53 AM
What is 394 minutes after 12:25 AM?
6:59 AM
How many minutes are there between 8:34 AM and 2:15 PM?
341
What is 51 minutes after 11:19 PM?
12:10 AM
How many minutes are there between 5:18 AM and 9:13 AM?
235
What is 191 minutes after 3:41 PM?
6:52 PM
How many minutes are there between 1:20 AM and 6:13 AM?
293
How many minutes are there between 11:19 PM and 8:35 AM?
556
How many minutes are there between 10:41 PM and 11:23 PM?
42
How many minutes are there between 8:11 AM and 12:54 PM?
283
What is 11 minutes after 3:14 PM?
3:25 PM
What is 186 minutes before 5:27 AM?
2:21 AM
What is 678 minutes after 2:13 PM?
1:31 AM
What is 54 minutes after 4:16 PM?
5:10 PM
How many minutes are there between 8:14 AM and 3:40 PM?
446
How many minutes are there between 4:01 AM and 12:41 PM?
520
What is 172 minutes before 7:47 PM?
4:55 PM
How many minutes are there between 11:07 AM and 11:02 PM?
715
What is 430 minutes before 12:57 PM?
5:47 AM
What is 160 minutes before 4:09 PM?
1:29 PM
How many minutes are there between 1:27 AM and 2:21 AM?
54
What is 171 minutes before 9:14 AM?
6:23 AM
What is 595 minutes after 9:59 PM?
7:54 AM
What is 646 minutes after 1:32 AM?
12:18 PM
What is 559 minutes before 7:05 PM?
9:46 AM
What is 538 minutes after 1:33 AM?
10:31 AM
How many minutes are there between 2:29 PM and 2:31 PM?
2
How many minutes are there between 4:19 PM and 3:50 AM?
691
What is 661 minutes before 12:40 PM?
1:39 AM
What is 691 minutes before 5:12 PM?
5:41 AM
What is 320 minutes before 11:37 PM?
6:17 PM
What is 589 minutes after 12:12 PM?
10:01 PM
How many minutes are there between 7:55 AM and 10:11 AM?
136
What is 652 minutes after 5:27 PM?
4:19 AM
What is 4 minutes before 8:48 PM?
8:44 PM
How many minutes are there between 7:32 AM and 5:31 PM?
599
What is 6 minutes before 4:08 AM?
4:02 AM
How many minutes are there between 10:09 PM and 8:55 AM?
646
What is 458 minutes before 6:39 AM?
11:01 PM
How many minutes are there between 2:23 AM and 2:37 AM?
14
How many minutes are there between 8:33 PM and 3:23 AM?
410
What is 366 minutes after 12:31 AM?
6:37 AM
How many minutes are there between 3:16 PM and 7:26 PM?
250
What is 552 minutes before 9:31 PM?
12:19 PM
What is 505 minutes before 7:14 AM?
10:49 PM
How many minutes are there between 2:45 PM and 4:40 PM?
115
How many minutes are there between 11:46 PM and 3:17 AM?
211
How many minutes are there between 6:58 PM and 6:00 AM?
662
How many minutes are there between 1:57 AM and 9:58 AM?
481
How many minutes are there between 12:49 PM and 12:22 AM?
693
What is 238 minutes before 6:29 PM?
2:31 PM
How many minutes are there between 12:17 AM and 4:28 AM?
251
What is 719 minutes before 1:23 AM?
1:24 PM
How many minutes are there between 3:33 AM and 8:26 AM?
293
How many minutes are there between 9:15 AM and 8:59 PM?
704
How many minutes are there between 11:42 AM and 1:32 PM?
110
What is 508 minutes after 8:09 PM?
4:37 AM
How many minutes are there between 9:25 PM and 3:41 AM?
376
How many minutes are there between 10:22 AM and 6:30 PM?
488
What is 130 minutes before 4:35 AM?
2:25 AM
What is 342 minutes after 6:46 AM?
12:28 PM
What is 110 minutes after 1:52 PM?
3:42 PM
What is 631 minutes before 7:27 PM?
8:56 AM
How many minutes are there between 6:44 PM and 2:46 AM?
482
How many minutes are there between 11:30 PM and 2:34 AM?
184
How many minutes are there between 1:08 PM and 8:06 PM?
418
How many minutes are there between 1:38 PM and 5:09 PM?
211
How many minutes are there between 11:59 AM and 5:04 PM?
305
What is 371 minutes before 6:01 AM?
11:50 PM
What is 714 minutes before 7:10 PM?
7:16 AM
How many minutes are there between 10:40 PM and 8:35 AM?
595
How many minutes are there between 2:58 PM and 11:53 PM?
535
What is 404 minutes before 12:42 PM?
5:58 AM
What is 578 minutes after 7:41 AM?
5:19 PM
How many minutes are there between 10:06 AM and 2:19 PM?
253
What is 291 minutes after 9:23 AM?
2:14 PM
How many minutes are there between 10:03 PM and 11:58 PM?
115
How many minutes are there between 6:26 AM and 10:41 AM?
255
How many minutes are there between 5:32 PM and 2:31 AM?
539
How many minutes are there between 4:58 PM and 7:01 PM?
123
How many minutes are there between 10:53 PM and 6:36 AM?
463
How many minutes are there between 4:42 AM and 7:18 AM?
156
What is 652 minutes before 8:03 PM?
9:11 AM
How many minutes are there between 2:10 AM and 10:12 AM?
482
W
|
{
"pile_set_name": "DM Mathematics"
}
|
-g**2. What is w(j(k))?
-2*k**4
Let j(r) = -r. Let g(c) = 2*c**2 - 2*c**2 - c**2. What is j(g(t))?
t**2
Let n(f) = 35*f - 26. Let l(k) = -2*k. Give l(n(c)).
-70*c + 52
Let o(g) be the third derivative of -g**5/12 + 11*g**2. Let q(w) = -2*w. Determine q(o(c)).
10*c**2
Let i(u) be the first derivative of -2*u**3/3 - 17. Let r(n) = 25*n. What is i(r(p))?
-1250*p**2
Let n be (3/1)/(3/2). Suppose 0 = 5*o + y - 6 - 8, 0 = 2*o + 2*y - 12. Let r(m) = 2*m**o - 3*m**2 + m**n - m**2. Let z(x) = -5*x. What is z(r(p))?
5*p**2
Let t(c) = -6*c**2 - 9*c. Let r(f) = -2*f**2. Calculate t(r(d)).
-24*d**4 + 18*d**2
Let u(y) = -5*y. Let x(b) be the second derivative of -b**4/3 - 4*b. What is u(x(t))?
20*t**2
Let g(w) be the third derivative of -w**5/60 - 6*w**2. Let k(u) = -u. Give k(g(y)).
y**2
Let i(y) = 552*y**2. Let p(o) = 2*o**2. Give i(p(w)).
2208*w**4
Let s(l) = -17*l - 4. Let u(x) = 50*x + 11. Let n(b) = -11*s(b) - 4*u(b). Let j(a) = -4*a. Give j(n(o)).
52*o
Let d(h) be the third derivative of h**4/8 - 10*h**2. Let c(p) = 2*p**2. Determine c(d(y)).
18*y**2
Let p(z) = -2*z**2 - 10. Let r(v) = -2. Let b(h) = p(h) - 5*r(h). Let o(j) be the third derivative of 0 - j**2 + 0*j + 0*j**3 - 1/4*j**4. Determine b(o(w)).
-72*w**2
Let i be 13/4 + (-6)/24. Let a(h) = -4*h**2 + h**2 + 3*h - i*h. Let l(d) = 2*d**2 - 5*d**2 + d**2. Give l(a(t)).
-18*t**4
Let t(d) = 6*d**2 + 5*d. Let f(q) = 3*q. Determine t(f(b)).
54*b**2 + 15*b
Let t(p) = p. Let c(w) = w + 1. Let i(k) = 4*k**2 + 3*k + 5. Let j(y) = -3*c(y) + i(y). Let o(z) = -9*z**2 - 5. Let f(d) = 5*j(d) + 2*o(d). What is t(f(r))?
2*r**2
Let f(w) = -2*w**2. Let k(x) = -90*x**2. Give f(k(n)).
-16200*n**4
Let z(v) = -4*v**2. Let q(y) = 2*y + 152. Determine q(z(k)).
-8*k**2 + 152
Let u(c) = 2*c. Let z be (4/6)/(11/33). Let p(y) = -6*y**z - 7*y**2 + 19*y**2. What is p(u(i))?
24*i**2
Let h = 1 + 1. Let u(o) = -12 + 12 - 2*o**h + 0*o**2. Let b(x) = -2*x**2. What is b(u(g))?
-8*g**4
Let z(b) = -11*b. Let n(f) be the first derivative of -f**2 + 34. Give z(n(r)).
22*r
Let k(u) = -u. Let i(g) be the second derivative of -7*g**4/4 + g - 21. What is k(i(m))?
21*m**2
Let c(z) = -2*z. Let d(t) = t + 17. Let l be d(-7). Suppose 0 = -0*y + 5*y - l. Let f(i) = -27*i**2 + 0 + 26*i**y + 0. What is f(c(k))?
-4*k**2
Let z(w) = -w**2 - 8. Let c(b) = -1. Let k(y) = -40*c(y) + 5*z(y). Let n(r) = -6*r. Calculate n(k(v)).
30*v**2
Let j(b) = 7*b. Let u(l) = 2*l + 4. Let w(q) = q + 3. Let a(g) = -3*u(g) + 4*w(g). What is a(j(t))?
-14*t
Let y(t) = 1. Let r(o) = -3*o + 5. Let g(d) = 2*r(d) - 10*y(d). Let f(h) = -2*h. Give f(g(b)).
12*b
Let g(b) = 47*b. Let i(j) = 4*j**2. Determine i(g(a)).
8836*a**2
Let s(a) = a**2. Let m(j) = 88*j - 7. Give s(m(q)).
7744*q**2 - 1232*q + 49
Let u(m) = 2*m - 118. Let d(i) = -i. Calculate u(d(x)).
-2*x - 118
Let k(q) = q + 68. Let b(a) = 6*a. Give k(b(v)).
6*v + 68
Let o(x) = 7*x**2. Let c(k) = k**2 + k + k - 2*k. Give o(c(b)).
7*b**4
Let t(x) = 3*x**2. Let b(c) be the third derivative of -c**4/12 - 3*c**2. Let u(f) = -2*f. Let z(d) = 3*b(d) - 2*u(d). What is z(t(y))?
-6*y**2
Let l(x) = 188*x**2 + 191*x**2 - 315*x**2. Let r(q) = -2*q. Give l(r(v)).
256*v**2
Let h(n) = n. Let m(a) = 15*a. Let s be (0 - (-9)/(-3)) + -19. Let o(t) = 4*t. Let y(w) = s*o(w) + 6*m(w). Give y(h(r)).
2*r
Let z(k) = 8*k**2. Let p(h) be the second derivative of 7*h**3/6 + 2*h - 5. Determine z(p(y)).
392*y**2
Let d(j) = -4*j**2 - 7*j + 3*j + 4*j. Let z(f) = -17*f. Calculate d(z(h)).
-1156*h**2
Let a = 8 - 6. Let w(d) = d + 0*d - a*d. Let z(g) = 2*g**2 - g**2 + g**2. Determine z(w(o)).
2*o**2
Let i(d) = 3*d**2. Let q = -3 - -5. Let v = q + 0. Let t(a) = -a**v + 0 + 0 + 2*a**2. Give i(t(z)).
3*z**4
Let s(j) be the third derivative of j**4/8 + 12*j**2. Let l(f) be the second derivative of f**3/2 - 3*f. Calculate s(l(c)).
9*c
Let g(k) = 2*k. Let r(n) be the first derivative of -5*n**4/24 - n**2 - 2. Let c(h) be the second derivative of r(h). Determine g(c(s)).
-10*s
Let x(f) = -3*f**2 - 8*f - 8. Let o(a) = -2*a**2 - 5*a - 5. Let y(p) = -8*o(p) + 5*x(p). Let r(c) = -12*c + 12*c - c**2 + 3*c**2. Determine y(r(b)).
4*b**4
Let a(c) = c. Let g(h) = -10*h. Let j(t) = -12*a(t) - g(t). Let b(q) be the first derivative of -4*q**2 + 3*q**2 - 2 + 4. What is j(b(i))?
4*i
Let l(n) = -2*n. Let z(c) = 11*c**2 + 9*c + 9. Let v(w) = -5*w**2 - 4*w - 4. Let p(o) = -9*v(o) - 4*z(o). Determine p(l(k)).
4*k**2
Let n = 8 - 6. Let p(l) = 8*l**2. Let o(v) = v**2. Let m(u) = n*p(u) - 18*o(u). Let z(b) = -4*b. Let w(g) = 4*g. Let a(f) = -2*w(f) - 3*z(f). Determine a(m(c)).
-8*c**2
Let x(s) = s. Let t(j) = 1449*j. Determine t(x(v)).
1449*v
Let x(y) = 1813*y. Let w(z) = -7*z**2. Give x(w(o)).
-12691*o**2
Let z(w) = -2*w**2. Let o be (-64)/24*3/(-4). Let n(a) = -17*a - o*a**2 + 17*a. What is n(z(j))?
-8*j**4
Let q(j) = -3*j**2. Let h be 2/(-1 - -2) - 0. Let m(s) = -10*s + 10*s - h*s**2. Give q(m(n)).
-12*n**4
Let d(w) = 7*w**2. Let h(p) = -2*p**2. Let o(t) = -3*d(t) - 8*h(t). Let l(j) = -j**2 + j**2 - j**2. Give l(o(b)).
-25*b**4
Let o be (-46)/8 + (-4)/16. Let u be (o - -5)/(2/(-4)). Let l(w) = 2*w**u + 5 - 5 + 0. Let c(k) = -2*k**2. What is c(l(f))?
-8*f**4
Let h(q) be the first derivative of -q**3/3 + 4. Let j(o) = -o**2. Determine j(h(b)).
-b**4
Let r(k) = -6*k. Let c(q) = q**3 - 7*q**2 + 7*q - 6. Let z be c(6). Let y(s) = -3*s + z*s + s. Calculate y(r(u)).
12*u
Let m(l) = -2*l. Suppose -g - 2 = -17. Let y(q) = -g*q - 9*q**2 + 15*q. Give y(m(z)).
-36*z**2
Let g(x) be the third derivative of x**4/3 - 18*x**2. Let b(y) = -y**2. Calculate b(g(j)).
-64*j**2
Let h(f) = -13445*f**2. Let s(k) = -2*k. Determine s(h(t)).
26890*t**2
Let i(d) = -2*d**2. Let r(p) = 18*p. What is i(r(m))?
-648*m**2
Let n(g) = -14*g. Let m(z) = -7*z - z + 3*z + 2*z. What is n(m(j))?
42*j
Let w(y) be the third derivative of -7*y**4/24 - 15*y**2. Let m(g) = 4*g**2. Give m(w(a)).
196*a**2
Let s(y) = 10*y**2. Let i(r) = 15*r**2 + 2*r. What is s(i(p))?
2250*p**4 + 600*p**3 + 40*p**2
Let x(a) be the first derivative of -13*a**3 + 19. Let q(t) = -t**2. Give x(q(m)).
-39*m**4
Let b(p) be the second derivative of -p**3/6 - 5*p. Let q(o) = -5*o**2 + 21*o**2 + 0*o**2. Determine q(b(k)).
16*k**2
Let r(c) = 53*c. Let d(b) = 4*b. What is r(d(j))?
212*j
Let h(r) = -4*r - 10. Let v(n) = 3*n + 7. Let f(q) = -5*h(q) - 7*v(q). Let w(a) = 3*a**2 - 2*a + 2. Let p(i) = 2*f(i) - w(i). Let x(b) = -3*b. What is p(x(k))?
-27*k**2
Let m(a) = 9*a**2. Let c(f) = 1 + 10*f - 11*f - 1. Give c(m(j)).
-9*j**2
Let q(t) = t. Let v(l) = -2*l + 4*l + 0*l. Let f(n) = -n. Let s(k) = -3*f(k) - 2*v(k). Give q(s(o)).
-o
Let g(f) = -2*f. Let x(z) = 119*z**2 + 2*z. Calculate g(x(u)).
-238*u**2 - 4*u
Let u(w) be the third derivative of w**5/15 + 41*w**2. Let g(v) be the third derivative of -v**5/30 - 2*v**2. Calculate u(g(y)).
16*y**4
Let h(n) = 147*n**2 - 15*n - 15. Let u(o) = 37*o**2 - 4*o - 4. Let z(g) = -4*h(g) + 15*u(g). Let f(s) = -2*s. Determine z(f(q)).
-132*q**2
Let v(m) = -51*m. Let z(x) = -43*x. Determine v(z(p)).
2193*p
Let s(f) = 1987*f**2. Let b(c) = -2*c. Calculate s(b(p)).
7948*p**2
Let j(c) = 175*c - 1 + 178*c - 356*c. Let h(a) = -a**2. What is h(j(t))?
-9*t**2 - 6*t - 1
Let s(i) = -5*i**2 + i**2 - 15 + 15. Let j(l) = 3*l. Determine s(j(m)).
-36*m**2
Let n(s) = -s**3 + 3*s**2 + 2*s - 1. Let k be n(3). Let i(f) = k*f + 2*f - 3*f - 3*f. Let d(c) = 2*c**2. Give d(i(m)).
2*m**2
Let p(o) = 3*o - 3. Let x(v) = -110*v**2. What is p(x(z))?
-330*z**2 - 3
Let u(t) = t**2. Let w(k) = k**2 - 227. Calculate u(w(o)).
o**4 - 454*o**2 + 51529
Let d(h) = 3*h**2. Let o = 1/10 - -1/15. Let p(u) be the second derivative of o*u**3 + 0*u**2 + 0 - u. Calculate d(p(a)).
3*a**2
Let l(f) = 17*f. Let o(x) = -510*x. Let r(b) = 119*l(b) + 4*o(b). Let m(g) = g**2. Give m(r(n)).
289*n**2
Let j(u) be the second derivative of -5*u**3/6 - 5*u. Let g(r) = -r**2. Give g(j(o)).
-25*o**2
Let s(h) be the first derivative of -h**4/24 - h**2/2 - 1. Let l(c) be the second derivative of s(c). Let k(d) = 2*d. Calculate k(l(t)).
-2*t
Let b(w) be the first derivative of w**2/2 - 79. Suppose 4*d - 4*m - 8 = -2*m, 0 = -d + 5*m + 2. Let z(t) = 3*t**2 - 6*t**2 + 2*t**d. Give z(b(y)).
-y**2
Let d(r) = 2*r. Let z(b) be the third derivative of -b**5/60 - 49*b**3/6 - 10*b**2. Give
|
{
"pile_set_name": "DM Mathematics"
}
|
n(q) + y(q).
2*q**3 - 2*q
Let a(r) = 3*r**2 - 4*r - 5. Let t be (-21)/2 + 4/(-8). Let z(m) = 8*m**2 - 11*m - 14. What is t*a(u) + 4*z(u)?
-u**2 - 1
Let s(z) = -4*z**2 - 4*z. Let t(b) be the third derivative of -b**6/120 - b**5/60 - b**4/24 - 18*b**2. Calculate s(a) - 4*t(a).
4*a**3
Let z(a) = -a**2 + a. Suppose 0 = 4*y - 6*y + 2. Let m = 9 - 4. Let s(x) = 4*x**2 - 5*x. Determine m*z(j) + y*s(j).
-j**2
Let r(a) = a + 1. Let g(j) = -26*j**3 - j**2 - 6*j - 6. Calculate g(h) + 6*r(h).
-26*h**3 - h**2
Let b(y) = y + 4. Let k(j) = 2 + 1 + 4 + j. Calculate -5*b(n) + 3*k(n).
-2*n + 1
Let g(k) = 5*k**3 - 11*k**2 - 11*k + 16. Let l(w) = -w**3 + 2*w**2 + 2*w - 3. Let q be 44/6*(-39)/13. Calculate q*l(z) - 4*g(z).
2*z**3 + 2
Let y(m) = -3*m**2 + 7. Let p(w) = w**2 - 2. Let g = 9 + -2. Calculate g*p(j) + 2*y(j).
j**2
Let d(j) = -10*j**3 + 10. Let h(l) = l**3 - 1. Suppose 3*c - 24 = o, 0 = -4*o + 4*c + c - 82. Determine o*h(w) - 2*d(w).
2*w**3 - 2
Let u(v) = v. Suppose 0 = 3*b - 4*j + 14, -4*b - 16 = -4*j - 0. Let t(k) = 3*k + 2. Determine b*u(o) + t(o).
o + 2
Let c(j) = j**3 + j + 3. Let p(d) = -2*d**3 - d - 4. Let m(u) = -3*c(u) - 2*p(u). Let t(q) = 4*q**3 - 5*q - 4. What is -6*m(h) + t(h)?
-2*h**3 + h + 2
Let q(j) = 4*j**2 - 9*j - 9. Let o(f) = 2*f**2 - 4*f - 4. Give 5*o(u) - 2*q(u).
2*u**2 - 2*u - 2
Let p(w) = 2*w**2 + 4*w + 4. Let o(g) = -g**2 - 3*g - 3. Let y(c) = c**2 - 4*c - 7. Let z be y(5). Let f be (4/z - -3) + 3. What is f*o(a) + 3*p(a)?
2*a**2
Let t(p) = p - 1. Let i(d) = 4*d**3 + 5*d - 8. Calculate i(z) - 5*t(z).
4*z**3 - 3
Let m(o) = -38*o - 6. Let t(g) = -39*g - 5. What is 5*m(j) - 6*t(j)?
44*j
Let m(o) be the third derivative of -o**5/60 + 13*o**4/24 + 13*o**3/6 + 11*o**2. Let s(h) = 4*h + 4. Calculate 2*m(n) - 7*s(n).
-2*n**2 - 2*n - 2
Let n(q) = -3*q - 1. Let u(b) = -b. Determine n(f) - 5*u(f).
2*f - 1
Let g(c) = 8*c**3 + 11*c**2 - 3. Let n(d) be the first derivative of d + 1 + 0*d**2 - 3/4*d**4 - 4/3*d**3. What is 4*g(a) + 11*n(a)?
-a**3 - 1
Let h(p) = -13*p**2 - 3*p + 3. Let u(w) = -w + 1. What is -h(l) + 3*u(l)?
13*l**2
Let m(o) = -5*o**3 + 3*o**2 - 2*o + 2. Let w(l) = -10*l**3 + 7*l**2 - 5*l + 5. Give 5*m(x) - 2*w(x).
-5*x**3 + x**2
Let y = -10 - -14. Let d(h) = -5*h. Let v(b) = -4*b. Suppose 0 = m - 3*m. Suppose 12 = -m*r - 4*r. Calculate r*d(f) + y*v(f).
-f
Let i(m) = -12*m + 16. Let u(a) = -4*a + 5. What is -5*i(n) + 16*u(n)?
-4*n
Suppose -7 + 1 = -2*r. Let g(b) = -4*b**2 - 3*b - 1. Let w = 6 + -1. Let o(t) = 5*t + 0 + 7*t**2 + 1 + 1. Calculate r*o(h) + w*g(h).
h**2 + 1
Let g = -4 + 7. Let j(k) = -g + 2*k + 3*k - k**3 - 3*k - 4*k**2 - 3*k**3. Let p(x) = 5*x**3 + 5*x**2 - 3*x + 4. Calculate 3*j(u) + 2*p(u).
-2*u**3 - 2*u**2 - 1
Suppose 0 = l - 5*l - 8. Let f = 73 - 46. Suppose 6*x - f = 3*x. Let n(o) = -3*o. Let w(b) = -13*b. Determine l*w(m) + x*n(m).
-m
Let u(p) = -4*p**3 + 2*p**3 + 5*p**3 - 4*p**3 - p**2 + p. Let n(g) = -2*g**3 - 3*g**2 + 3*g. What is -n(o) + 3*u(o)?
-o**3
Let f(i) = -2*i**2 + i + 5. Let s(a) = a**2 + a + 1. Let c(k) = f(k) - 5*s(k). Let j(p) = 57*p**2 + 33*p. What is -33*c(g) - 4*j(g)?
3*g**2
Let d(r) = -15*r**2 - 15*r - 31. Let w(b) = -7*b**2 - 7*b - 16. Give -6*d(y) + 13*w(y).
-y**2 - y - 22
Let l(f) = -11*f + 4. Let h(j) = -12*j + 5. Let s(o) = -6*h(o) + 7*l(o). Let u(i) = 2*i + 1. Let t = -35 + 29. What is t*s(c) - 14*u(c)?
2*c - 2
Let q(n) = 23*n**2 - 6. Let u(l) = -1150*l**2 + 299. What is 299*q(g) + 6*u(g)?
-23*g**2
Let n(j) = 3*j**2 + 57*j - 5. Let d(u) = u**2 + 28*u - 2. What is -5*d(k) + 2*n(k)?
k**2 - 26*k
Let n(q) = q**2 + 14*q - 19. Let r be n(-16). Let k(v) = 9 - v + r*v**2 - 2*v + 3*v. Let j(b) = -3*b**2 - 2 + 2*b - 2*b. Determine 18*j(x) + 4*k(x).
-2*x**2
Let t(w) = -w + 2. Let h(s) = s**2 - 2*s + 3. Let u be (-4)/5 + (-472)/(-40). Suppose 2*v + 2*g = 4, u = 2*v + 5*g - 5. What is v*h(z) + 3*t(z)?
-2*z**2 + z
Let n(w) = 2*w**2 - w + 6. Let v(b) = 6*b**2 - 2*b + 17. Calculate -17*n(x) + 6*v(x).
2*x**2 + 5*x
Let g(z) = -z**2 + 11*z + 1. Let l be g(12). Let d(w) = 5*w + 3 - 3 - 8. Let r(s) = 9*s - 15. Give l*d(y) + 6*r(y).
-y - 2
Let g(s) = -s**2 - s. Let l(d) = -5*d**2 - 6*d. Let a(r) = 2*r - 16. Let f be a(11). Calculate f*g(k) - l(k).
-k**2
Let m(j) = 3*j**2 - 8*j - 9. Let t(w) = 11*w**2 - 33*w - 36. Let b(z) = 9*m(z) - 2*t(z). Let x(o) = -o**2 + o + 1. Determine -b(i) - 6*x(i).
i**2 + 3
Suppose 5*b = 4*a + 25, -b - 2*a + 6*a = -5. Let u(y) = 6*y**3 + 2*y**2 + 5*y + 5. Let n(p) = 5*p**3 + 2*p**2 + 4*p + 4. What is b*n(c) - 4*u(c)?
c**3 + 2*c**2
Let g(p) = p - 1. Let r(z) = 3*z + 6. What is 5*g(b) + r(b)?
8*b + 1
Let d(o) = 4*o - 2. Let f(n) = -63*n + 25*n + 3 + 33*n. Determine -3*d(i) - 2*f(i).
-2*i
Let y(o) = -27*o**3 + 7*o + 7. Let x(w) = -9*w**3 + 2*w + 2. What is -7*x(a) + 2*y(a)?
9*a**3
Let m(d) = -3*d**2 - 2*d. Let k(x) be the third derivative of -x**5/20 - x**4/8 - 5*x**2. What is -2*k(s) + 3*m(s)?
-3*s**2
Let i(p) = -p**3 - 5*p**2 + 2*p - 3. Let d(t) = 2*t**3 - 6*t**2 - 7. Let j(m) = 3*m**3 - 12*m**2 + m - 13. Let w(v) = 5*d(v) - 3*j(v). What is -4*i(l) - 3*w(l)?
l**3 + 2*l**2 + l
Let b(g) = 8*g**3 - 2*g**2 + 3*g. Let r(u) = 25*u**3 - 7*u**2 + 10*u. Determine 7*b(s) - 2*r(s).
6*s**3 + s
Let z(i) = -3*i**2 - 4. Let u(v) = -4*v**2 - 6. Suppose -6*s + 35 = -s. What is s*z(t) - 5*u(t)?
-t**2 + 2
Let a(s) = 2 - s - 5 - 2. Let v(r) = -1. Let i = 3 - 3. Suppose 0*h + 4*h - 4 = i. What is h*a(u) - 6*v(u)?
-u + 1
Let l(n) = 3*n**2 - 4*n - 2. Let z(j) = 16*j**2 - 21*j - 11. Let x(u) = 11*l(u) - 2*z(u). Let i(k) = -k. Let f be (-1 + 3)*10/(-4). What is f*i(w) + 2*x(w)?
2*w**2 + w
Let j(s) = -4*s**2 + 7*s - 7. Let c(x) = -2*x**2 + 3*x - 3. What is -7*c(t) + 3*j(t)?
2*t**2
Let b(a) = 3*a**2 - 8*a. Let f(z) = 4*z**2 - 12*z. Determine 7*b(i) - 5*f(i).
i**2 + 4*i
Let m(k) = 13*k**2 + 10*k + 13. Suppose 3*r - d = 5, -2*r + 3*d = 2*d - 5. Let j(i) = -6*i**2 + 2*i**2 + i - 4 - 4*i + r*i**2. Give 7*j(f) + 2*m(f).
-2*f**2 - f - 2
Let z(a) = -5*a**2 - 6*a + 6. Suppose 3 = 3*b - 12. Suppose -91 = -q + 149. Let x be (-4)/14 - q/42. Let h(y) = -4*y**2 - 5*y + 5. Give b*z(o) + x*h(o).
-o**2
Let z(d) = -7*d**2 - 6*d + 6. Let f(q) = 20*q**2 + 17*q - 17. Let v(n) = n + 13. Let g be v(-8). Let i = g - 22. Determine i*z(x) - 6*f(x).
-x**2
Let g(x) = -4*x**3 - 5*x. Let p(u) = 2*u**3 - u**3 - 7*u + 8*u + 0*u**3. Determine g(a) + 3*p(a).
-a**3 - 2*a
Let u(v) = -v + 5. Let m(h) = -6*h + 12 + 4 + 10. Let a = 66 - 50. Let i(k) = -k**3 - 3*k**2 - k - 1. Let z be i(-2). Give a*u(o) + z*m(o).
2*o + 2
Let p(i) = i**3 + i**2 + 1. Let x(s) = -3*s**3 - 2*s**2 + 7*s - 1. Determine -p(n) - x(n).
2*n**3 + n**2 - 7*n
Let d(w) = w. Let u be (-4)/(-6)*3/2. Let z(a) be the second derivative of 2*a - a**2 + 0 - 1/3*a**3. Calculate u*z(l) + 4*d(l).
2*l - 2
Let a(o) be the second derivative of -o**3/6 + 5*o**2/2 + 3*o. Let t(g) = -2*g + 9. Let i(n) = -n + 7. Let c be i(12). Calculate c*a(w) + 3*t(w).
-w + 2
Let y(k) = -7*k**2 + 4. Let l(v) = -v**2 + 1. Let b(a) = -a**3 - 8*a**2 + 10*a + 8. Let q be b(-9). What is q*y(n) + 5*l(n)?
2*n**2 + 1
Let b(j) = 14*j**3 + 5*j**2 - 5*j - 11. Let g(v) be the second derivative of v**5/4 + v**4/6 - v**3/3 - 2*v**2 + 18*v. Determine -4*b(y) + 11*g(y).
-y**3 + 2*y**2 - 2*y
Let w = 0 + -1. Let a(s) be the first derivative of s + 170. Let r(l) = -l**2 - 2*l + 1. Give w*a(c) + r(c).
-c**2 - 2*c
Let o(g) = g**3 + g. Let m(l) be the second derivative of -1/2*l**3 + 0 + 1/2*l**2 + 0*l**4 - 1/20*l**5 - l. What is m(w) + 3*o(w)?
2*w**3 + 1
Let k(i) = -i**2 + i + 1. Let z(v) = 3*v**3 - 18*v**2 + 18*v + 18. Suppose -1 = 3*u - 55. Determine u*k(s) - z(s).
-3*s**3
Let k(c) = -4*c**2 - 7*c. Let h be 4*((-3)/3 + 3). Suppose h = -r - 4*o + 2*o, -o = 5. Suppose -6 = -r*n - 0*n. Let m(a) = -2*a**2 - 3*a. Give n*k(f) - 7*m(f).
2*f**2
Let k = -43 + 48. Suppose -4*v + 9 = -5*o - 9, -5*v - 3 = -2*o. Let g(c) = -4*c - 2. Let q(w) = -3*w - 2. Give k*g(y) + o*q(y).
-2*y + 2
Let g(w) = -w**3 - 8*w - 8. Let v(a) be the first derivative of -a**2/2 - a + 1. What is -3*g(o) + 24*v(o)?
3*o**3
Let o(k) = 11*k - 30. Let j be o(3). Let y(z) = -17*z**2 - 7*z. Let m(f) = 8*f**2 + 3*f. What is j*y(i) + 7*m(i)?
5*i**2
Let c(t) = -t**2 + 1. Let y(l) = -5*l**3 + 3*l**2 + 2*l - 3. Give 3*c(s) + y(s).
-5*s**3 + 2*s
Suppose 0 = 3*f - 3 - 6. Let
|
{
"pile_set_name": "DM Mathematics"
}
|
1*c*m*x**2 - 4*m**3*x**2 + 12*m**2*x**2 wrt m.
1211166*c**3*x**2 - 24*x**2
Find the third derivative of -141937*d**6 + 33098*d**2.
-17032440*d**3
What is the second derivative of 13121*i**4 - 538*i + 13 wrt i?
157452*i**2
Differentiate -16*w**4 - 50*w**3 - 38*w**2 + w + 382871 wrt w.
-64*w**3 - 150*w**2 - 76*w + 1
Differentiate 491500*a**2 + 216102 wrt a.
983000*a
What is the second derivative of 228*k**2*y**2 + 586*k**2*y + 13*k**2 + 2*k*y - 53*y**2 wrt y?
456*k**2 - 106
What is the third derivative of 11416*f**5 - 35186*f**2?
684960*f**2
What is the second derivative of 54074*t**3 + 34296*t?
324444*t
What is the second derivative of 1221*q**5*u**2 - 11*q**2*u**2 + 31*q*u + 475*u**2 wrt q?
24420*q**3*u**2 - 22*u**2
Find the third derivative of -6*w**4 - 97*w**3 + 1250*w**2 - 521*w wrt w.
-144*w - 582
Find the second derivative of 580625*a**2*i**2 - 2*a*i**2 + 2*a*i - 9*i**2 - 44643*i wrt a.
1161250*i**2
Find the third derivative of 10880*i**3*w**3 - 29*i**3*w + i**2 + w**3 - 140485 wrt i.
65280*w**3 - 174*w
What is the first derivative of -2188259*o + 3725075?
-2188259
Differentiate 5717*c*l*s - c*s**3 - 4*l*s**3 - 3*l*s**2 + 35*l*s + s**3 with respect to c.
5717*l*s - s**3
What is the third derivative of -30301*o**5 + 634*o**2?
-1818060*o**2
What is the derivative of 3*i**4 - 2*i**3 + 3846*i**2 - 102959 wrt i?
12*i**3 - 6*i**2 + 7692*i
Differentiate -2*d**3*j + 9*d*j**3 - 115345*d*j + 475*j**3 - 75 wrt d.
-6*d**2*j + 9*j**3 - 115345*j
Find the second derivative of -70742*x**2 - x - 22615 wrt x.
-141484
What is the second derivative of -2189014*d**2 + 52*d + 13741?
-4378028
Find the third derivative of -9237*q**3*s**3 - 3*q**3*s**2 + 10*q**3 - 34*q**2*s**2 - 6*q**2*s + 4*q - 5*s**3 + 77*s**2 wrt q.
-55422*s**3 - 18*s**2 + 60
Find the first derivative of 49141*g*r**2 + 87547*g + 3*r**2 - 4 wrt r.
98282*g*r + 6*r
Differentiate 32*g**4 - 11*g**3 - 96*g**2 - 27721 wrt g.
128*g**3 - 33*g**2 - 192*g
What is the second derivative of 70622*w**5 + 55465*w?
1412440*w**3
Find the second derivative of 1963999*d**3 + 15390*d - 23.
11783994*d
What is the first derivative of -m**2*s**2 + 2728*m**2*s - 2*m**2 - 5*m + 3*s + 7129 wrt s?
-2*m**2*s + 2728*m**2 + 3
What is the first derivative of -286531*t - 411616 wrt t?
-286531
Find the first derivative of 523*f**2 + 549*f + 108680 wrt f.
1046*f + 549
What is the second derivative of -51001*q**4 + 3*q - 262120?
-612012*q**2
What is the second derivative of 48052*l**4*v + 6*l**3*v + l**2 - 31*l*v - 134*v + 6 wrt l?
576624*l**2*v + 36*l*v + 2
Find the second derivative of -563816*q**2 - q - 2125.
-1127632
What is the third derivative of 1928001*x**6 + 138296*x**2 + 3 wrt x?
231360120*x**3
Find the third derivative of -32367*g*x**3 + 425*g*x**2 - 9*x**2 wrt x.
-194202*g
Find the second derivative of -4*b**4*n - 1785*b**3*n**3 + 481*b*n**3 - b + n**3 + 3*n**2 - 1 wrt b.
-48*b**2*n - 10710*b*n**3
What is the first derivative of -134116*g**2*p + 36523*p wrt g?
-268232*g*p
Find the third derivative of 9231*f**6 + f**2 - 76292*f - 2.
1107720*f**3
Differentiate -41*d**2 + 11775*d - 2478737 with respect to d.
-82*d + 11775
What is the derivative of 25*k*r**3*w - 4*k*r**3 - 13*k*r**2 + 23284*r**3*w wrt k?
25*r**3*w - 4*r**3 - 13*r**2
Find the first derivative of 1749282*d + 276845 wrt d.
1749282
What is the first derivative of -2*b**3 + 38799*b + 327361?
-6*b**2 + 38799
What is the second derivative of 4*b*i**3 + 1550*b*i**2 - 28*b*i - 1961*b - 37*i**3 - i**2 + 2*i + 4 wrt i?
24*b*i + 3100*b - 222*i - 2
What is the third derivative of 152*f**3*h - 40*f**3 + 2469*f**2 - 2*f*h - 7*h + 1 wrt f?
912*h - 240
What is the third derivative of 26*a**3*o*u - 98*a**3*o - 8*a**3*u - 28*a**2*u + 2*a*o*u + 4*a*o + 2*o*u + u + 77 wrt a?
156*o*u - 588*o - 48*u
Find the second derivative of -279*r**4 - 46*r**3 - 2322062*r wrt r.
-3348*r**2 - 276*r
Find the third derivative of 37214*r**4 - 83*r**2 - 5*r + 13.
893136*r
What is the second derivative of 6933*z**3 - 14*z**2 + 184644*z wrt z?
41598*z - 28
Find the first derivative of -4450675*t - 3541186.
-4450675
What is the derivative of -102*t**3 - 4995*t - 675778?
-306*t**2 - 4995
Find the first derivative of 194239*y + 186222 wrt y.
194239
What is the third derivative of 34945*t**4 + 3109*t**2 + 4 wrt t?
838680*t
What is the derivative of -87971*y - 194436?
-87971
Find the third derivative of 319*s**4*t**2 + 2*s**3*t**3 + 176*s**3 - 69*s**2 + 1412*s*t**3 wrt s.
7656*s*t**2 + 12*t**3 + 1056
Find the third derivative of 30934*q**3 - q**2 + 22*q + 3.
185604
What is the third derivative of -2221*i**5*t - 11*i**3*t**3 - 242*i**2*t**3 + 2*i**2*t**2 + 36*i*t**3 wrt i?
-133260*i**2*t - 66*t**3
Find the second derivative of -48*t**4 + 3*t**3 + 74*t**2 - t - 244522.
-576*t**2 + 18*t + 148
What is the third derivative of 60539*s**6 + 1257*s**2 + 4*s wrt s?
7264680*s**3
What is the first derivative of 2897039*a**3 - 2685918 wrt a?
8691117*a**2
What is the second derivative of 2*d**2*m*n + 3*d**2*n**3 + 788*d**2*n**2 + 427*d*n**3 - 33*d - m*n wrt d?
4*m*n + 6*n**3 + 1576*n**2
What is the second derivative of -373930*r**4 + 75382*r wrt r?
-4487160*r**2
What is the third derivative of -1951*h**3*z**6 + 643*h**3 + 4*h**2*z**2 + z**6 - z wrt z?
-234120*h**3*z**3 + 120*z**3
Find the second derivative of 1338417*m**2*z**3 - m*z**3 + 4*m*z**2 + 2*z**3 - 114*z - 201 wrt m.
2676834*z**3
Find the second derivative of -2336961*t**5 + 50967*t - 4.
-46739220*t**3
What is the third derivative of 75*a**4*s + 3*a**3*s**2 - 3*a**2*s - a**2 - 113*a*s**2 + 1 wrt a?
1800*a*s + 18*s**2
What is the second derivative of 3*c**4 - 473896*c**3 - 4*c - 234399?
36*c**2 - 2843376*c
What is the second derivative of 172575*j**2*o + j*o + 19263*j + 2*o + 1 wrt j?
345150*o
Find the first derivative of 32962*r - 8447 wrt r.
32962
What is the derivative of -11*t**3 + 35715*t - 2909763?
-33*t**2 + 35715
What is the second derivative of 5*f**5 + 2578*f**4 + 13*f - 222?
100*f**3 + 30936*f**2
What is the first derivative of 2*f*i*n**3 - 3*f*n**3 - 102*f - 99*i*n**3 + 37*n**3 wrt i?
2*f*n**3 - 99*n**3
Find the third derivative of o**5 + 175*o**4 + 109255*o**2.
60*o**2 + 4200*o
What is the third derivative of 2516*b**4 + 18*b**3 + 59289*b**2 - 1 wrt b?
60384*b + 108
Differentiate -146925*s**2 + 234106.
-293850*s
What is the second derivative of 3*c*t**3 - 4*c*t**2 + 2*c*t + 3*c - 12*t**3 - 45*t**2 - 14068*t wrt t?
18*c*t - 8*c - 72*t - 90
What is the derivative of 46*a**2*q**2 + 207*a**2 + 2*a*q**2 - 2*a + 11*q**2 + 58 wrt q?
92*a**2*q + 4*a*q + 22*q
What is the derivative of -2*h*p*v**2 + 9*h*p - h*v**2 + 17*h + 23084*p*v**2 + 2*v**2 - 1 wrt p?
-2*h*v**2 + 9*h + 23084*v**2
What is the derivative of -c*u**2 + 2675*c*u + 343887*c - 2*u**2 - 86*u + 4 wrt u?
-2*c*u + 2675*c - 4*u - 86
What is the third derivative of -6*n**4*u - 497*n**4 + n**3*u - 2*n**3 - 222419*n**2 + n*u wrt n?
-144*n*u - 11928*n + 6*u - 12
What is the third derivative of -6164*b**3*f - 5*b**3*r**3 - b**3*s + b**2*f*r**2*s - 16*b**2*r*s - f*r**2*s + 2*r**3*s - 339*r**2*s wrt b?
-36984*f - 30*r**3 - 6*s
What is the first derivative of 282*h**4*n**3 + 16*h**3*n**3 + 101351*n**3 wrt h?
1128*h**3*n**3 + 48*h**2*n**3
Find the third derivative of 100*r**2*y**4 - 50*r**2*y - 2*r**2 - 142*r*y**6 - 181*y**2 wrt y.
2400*r**2*y - 17040*r*y**3
Find the second derivative of -22286*c**5 - 2*c**4*z - 3*c*z - 1174*c - 1 wrt c.
-445720*c**3 - 24*c**2*z
What is the second derivative of -1102936*d**4 - 760487*d wrt d?
-13235232*d**2
What is the second derivative of -22503*o**4 - 11*o**2 - 187*o - 825 wrt o?
-270036*o**2 - 22
What is the third derivative of -231*m**4*q + 62*m**4 + m**3*q + 2*m**3 + 2*m**2*q - 2*m**2 + 12*m*q + 9*m + 80 wrt m?
-5544*m*q + 1488*m + 6*q + 12
Find the second derivative of -k**2*s - 415932*k**2 + 3*k - 9068*s wrt k.
-2*s - 831864
What is the second derivative of 16*w**4 + 4*w**3 + 849*w**2 - 87833*w?
192*w**2 + 24*w + 1698
Find the third derivative of 1564683*x**5 - 3*x**2 - 765*x + 411 wrt x.
93880980*x**2
Find the second derivative of 1954*n**5*s + 2*n**5*w + 40*n**2 + 6*n*w + 3*n - 4*s - 1481*w wrt n.
39080*n**3*s + 40*n**3*w + 80
What is the first derivative of -155*b**2*x + 3*b**2 + 59*b*x + 777*x - 33 wrt b?
-310*b*x + 6*b + 59*x
What is the second derivat
|
{
"pile_set_name": "DM Mathematics"
}
|
4, -2, -1, 0, 23
Sort 1, 118, -22, 2865 in increasing order.
-22, 1, 118, 2865
Put 5, -3/100, -0.4, -9/4, -126, 3 in increasing order.
-126, -9/4, -0.4, -3/100, 3, 5
Sort -58, -1, -3, -5, -20, -4, -38.
-58, -38, -20, -5, -4, -3, -1
Put -1, -9474, 2, 565 in decreasing order.
565, 2, -1, -9474
Put 33, 1, -9, -3, -60 in ascending order.
-60, -9, -3, 1, 33
Sort 4, -553, 2, -11, -89 in descending order.
4, 2, -11, -89, -553
Put -5, -8, 1, 0, -616, 9, 5 in descending order.
9, 5, 1, 0, -5, -8, -616
Sort 69, 0, 3, -62993 in decreasing order.
69, 3, 0, -62993
Sort -136, 94, 55, 9 in decreasing order.
94, 55, 9, -136
Sort 568450, -3, -1, 0.2 in descending order.
568450, 0.2, -1, -3
Put 2700, -7, 5, -2800 in increasing order.
-2800, -7, 5, 2700
Put 193, -1962, -1 in descending order.
193, -1, -1962
Sort -6, -3, -8, 3, 2, -486 in decreasing order.
3, 2, -3, -6, -8, -486
Sort 21857/4, 14, 0.03, 1/5 in ascending order.
0.03, 1/5, 14, 21857/4
Sort -1, 13, 3, -11, -30, -15, 2 in ascending order.
-30, -15, -11, -1, 2, 3, 13
Sort -1929, 8, -14, -2, 5, -7 in ascending order.
-1929, -14, -7, -2, 5, 8
Put 2, 3, 1/5, 246, -8, -2, 12 in decreasing order.
246, 12, 3, 2, 1/5, -2, -8
Put -3782, 1/3, -3/971, -21 in decreasing order.
1/3, -3/971, -21, -3782
Put 21958, -4, 0, 3, -5 in descending order.
21958, 3, 0, -4, -5
Put 15424, -4, 0, -5, 14 in descending order.
15424, 14, 0, -4, -5
Put 2748, -3, 4, 11, -6, 2 in ascending order.
-6, -3, 2, 4, 11, 2748
Sort -5, 7, 4, -2896, 1, 236 in decreasing order.
236, 7, 4, 1, -5, -2896
Sort 10, -5, 0, -1200, -63 in decreasing order.
10, 0, -5, -63, -1200
Sort 4, -8306, 37.79 in descending order.
37.79, 4, -8306
Put 2264, -1, 12, 2, -3, -5 in descending order.
2264, 12, 2, -1, -3, -5
Put -1/3, -507.2, -1/6, 190 in decreasing order.
190, -1/6, -1/3, -507.2
Put -2, -4, -18, 481, 3, -1 in descending order.
481, 3, -1, -2, -4, -18
Sort 10, -4, 54846, 5 in descending order.
54846, 10, 5, -4
Put 3, -7, 2, -4, -3, -3755, -119 in decreasing order.
3, 2, -3, -4, -7, -119, -3755
Put -25, 5, -4, 0, 1697 in decreasing order.
1697, 5, 0, -4, -25
Put 2/25, -1/6, -249, 38, -14 in ascending order.
-249, -14, -1/6, 2/25, 38
Put -2, 2, 13, -3, -605, -13 in descending order.
13, 2, -2, -3, -13, -605
Put 1, 138, -30, -1, 4 in decreasing order.
138, 4, 1, -1, -30
Put 2, -4/3, -62253, -3 in decreasing order.
2, -4/3, -3, -62253
Sort 2, 3, 37, 4, -2, 0, -1770 in decreasing order.
37, 4, 3, 2, 0, -2, -1770
Put 7452, -31, -2/5 in descending order.
7452, -2/5, -31
Put -1742, 397, -11, 2 in increasing order.
-1742, -11, 2, 397
Sort 2, -166, 5, -4, -313, 3 in increasing order.
-313, -166, -4, 2, 3, 5
Sort -4, -103810, 11, 1 in ascending order.
-103810, -4, 1, 11
Sort -19984, 175, -9 in decreasing order.
175, -9, -19984
Put 14, 4/5, -4/57, 142 in descending order.
142, 14, 4/5, -4/57
Sort 183019, 11, -3, 5 in ascending order.
-3, 5, 11, 183019
Put 758, -11.3, -5372 in descending order.
758, -11.3, -5372
Sort -13, 1, -9, -6, 101, -1, 15.
-13, -9, -6, -1, 1, 15, 101
Sort -32, 207, 4961 in descending order.
4961, 207, -32
Put 0.4, 0.055, -23341, -4/5, 3/4 in ascending order.
-23341, -4/5, 0.055, 0.4, 3/4
Put 4, -4, -3, -16, 12, 440 in descending order.
440, 12, 4, -3, -4, -16
Put 0.1, 2/5, 4, -1.1, 1076 in decreasing order.
1076, 4, 2/5, 0.1, -1.1
Put -214/103, -0.4, 4, -1/4 in decreasing order.
4, -1/4, -0.4, -214/103
Put 4, -3, 6519, 1, -4, 0, -2 in increasing order.
-4, -3, -2, 0, 1, 4, 6519
Put 27, 1235, 3, 2, -38 in decreasing order.
1235, 27, 3, 2, -38
Put 1, 3/19, 77983.43 in decreasing order.
77983.43, 1, 3/19
Put 21/2, -14524/3, -5.8 in decreasing order.
21/2, -5.8, -14524/3
Sort -3, -5, 3, 92, 0, 13, -214.
-214, -5, -3, 0, 3, 13, 92
Sort 36, 0, -13, 2, -5, -15 in decreasing order.
36, 2, 0, -5, -13, -15
Sort -7, 15, -8, 24335 in descending order.
24335, 15, -7, -8
Put -2242, 1, -560 in ascending order.
-2242, -560, 1
Sort 105, -3, 169, 3, -52.
-52, -3, 3, 105, 169
Sort -470523/38, 0.2, 0.3 in ascending order.
-470523/38, 0.2, 0.3
Put 2/7, -499, -4696/3 in decreasing order.
2/7, -499, -4696/3
Sort 131, -49, 4, -5, 27 in ascending order.
-49, -5, 4, 27, 131
Put 0.3, -0.1, 1317, -3, 7, -2/11 in descending order.
1317, 7, 0.3, -0.1, -2/11, -3
Sort 5, 17167848, 0.3 in decreasing order.
17167848, 5, 0.3
Sort 157, -28, 3, -1, -3, -29, -2 in decreasing order.
157, 3, -1, -2, -3, -28, -29
Sort 0, -0.0886071, -7, 2/11 in increasing order.
-7, -0.0886071, 0, 2/11
Put 5, 1/3, 907, 0.1, -2/13, 24 in increasing order.
-2/13, 0.1, 1/3, 5, 24, 907
Put 4, 0, -86, -17, 409, -1 in increasing order.
-86, -17, -1, 0, 4, 409
Put -2/3, -4/3, 1/33, -5, 2, 2/57 in decreasing order.
2, 2/57, 1/33, -2/3, -4/3, -5
Sort -2, -55, -32/2625 in ascending order.
-55, -2, -32/2625
Put -3, 1, -49526, -16, -5 in decreasing order.
1, -3, -5, -16, -49526
Put 8, -470, 52, -2, 4 in increasing order.
-470, -2, 4, 8, 52
Put 0, -1, -14, -5, 1, 13, -32 in decreasing order.
13, 1, 0, -1, -5, -14, -32
Sort 0.2, -1/3, -0.3, -3, 822, 2.
-3, -1/3, -0.3, 0.2, 2, 822
Sort -4, 94, 7537, 2.
-4, 2, 94, 7537
Put -13, 28, -1, -23, 2, 5, 8 in ascending order.
-23, -13, -1, 2, 5, 8, 28
Put 5, 2023, 0, -5048, -3 in descending order.
2023, 5, 0, -3, -5048
Sort 3, -1/4, 0.4, -3, 4, -2/29, -8 in descending order.
4, 3, 0.4, -2/29, -1/4, -3, -8
Put 13, 4, -113, -7, 2812 in increasing order.
-113, -7, 4, 13, 2812
Sort -0.08, 27, 1/21, -24, -5 in decreasing order.
27, 1/21, -0.08, -5, -24
Sort -2, 0, 7, -9, -5, 6, -1 in decreasing order.
7, 6, 0, -1, -2, -5, -9
Sort 0, -13, -2, -58, -3, -227, 4 in increasing order.
-227, -58, -13, -3, -2, 0, 4
Put -1, 563, 1794 in increasing order.
-1, 563, 1794
Sort -126, -8, 3, 2, 5, 4, 57 in descending order.
57, 5, 4, 3, 2, -8, -126
Sort 34, 2, -108, 5/3, -1.
-108, -1, 5/3, 2, 34
Put -2, 5, -223, 110, -5, 65, 1 in decreasing order.
110, 65, 5, 1, -2, -5, -223
Sort 3, 2059, 0, -292 in decreasing order.
2059, 3, 0, -292
Sort -4, 417, 2688, 3.
-4, 3, 417, 2688
Sort 6, 4689, 2/5, -2/29 in increasing order.
-2/29, 2/5, 6, 4689
Sort 3, 19, 1, 3/8, -0.1, 0 in descending order.
19, 3, 1, 3/8, 0, -0.1
Sort 1, 4, -2, -6, 3, 5, 121 in descending order.
121, 5, 4, 3, 1, -2, -6
Put -8, 4, 17, 12163, -4 in decreasing order.
12163, 17, 4, -4, -8
Sort -3, -2596, 42558.
-2596, -3, 42558
Sort 0.2, 2/675, -21.7, 1/3 in increasing order.
-21.7, 2/675, 0.2, 1/3
Sort 6387, 2, -5, -130, 0, -74.
-130, -74, -5, 0, 2, 6387
Sort 5, -63, 0.4, 1/2, -4.13, -0.2.
-63, -4.13, -0.2, 0.4, 1/2, 5
Put 5, 8, 1.5, -29.88, 39 in descending order.
39, 8, 5, 1.5, -29.88
Sort -3, 0.08, 808, -2, 15 in descending order.
808, 15, 0.08, -2, -3
Put 247.3, 23/2, -40, -2/5 in increasing order.
-40, -2/5, 23/2, 247.3
Sort 9, 1.4, 5/4, 0.1, 4, 0, 6/7 in ascending order.
0, 0.1, 6/7, 5/4, 1.4, 4, 9
Put -2, -5, 0.48, 0.07, -0.03 in decreasing order.
0.48, 0.07, -0.03, -2, -5
Sort -0.3, 22/3, 0.5, 5, 4 in descending order.
22/3, 5, 4, 0.5, -0.3
Put -3, -6470, 0.0657, 0.21 in decreasing order.
0.21, 0.0657, -3, -6470
Put 1161, 10, -427 in increasing order.
-427, 10, 1161
Put -2, -135, -33, 53 in ascending order.
-135, -33, -2, 53
Sort -5, -4, -55032, 2.
-55032, -5, -4, 2
Put 5, 6, -70, 100, -4 in decreasing order.
100, 6, 5, -4, -70
Sort -17, 8/9, 0.4, 2/9, 0.11, 2/19.
-17, 2/19, 0.11, 2/9, 0.4, 8/9
Sort 1, -5, 4, 165621, 39 in ascending order.
-5, 1, 4, 39, 165621
Put -4695, -1, 3, 27, -2, 2, 13 in ascending order.
-4695, -2, -1, 2, 3, 13, 27
Put 0, 28324, -2, 5, 13 in decreasing order.
28324, 13, 5, 0, -2
Sort 9, 5, -494425 in descending order.
9, 5, -494425
Sort -1/135, -354, -5, 46, -0.4 in ascending order.
-354, -5, -0.4, -1/135, 46
Put 42, 723, 0, -15, 2 in descending order.
723, 42, 2, 0, -15
Put -12, 4, 8, 52, 9 in increasing order.
-12, 4, 8, 9, 52
Put 30, -20467, 16 in descending order.
30, 16, -20467
Put -28, 1, 9, 5, -3, -4, 3 in decreasing order.
9, 5, 3, 1, -3, -4, -28
Put -11, 170, 4, -22, 5, -5, 10 in descending order.
170, 10, 5, 4, -5, -11, -22
Put -5, -35, 3, 219, 907 in ascending order.
-35, -5, 3, 219, 907
Sort 2, -1370158, -1 in decreasing order.
2, -1, -1370158
Sort 7, -87, 10, 2339 in descending order.
2339, 10, 7, -87
Put 5979, -197/4, -0.2, 4/7, -1/3 in increasing order.
-197/4, -1/3, -0.2, 4/7, 5979
|
{
"pile_set_name": "DM Mathematics"
}
|
40*s + 113. Let n(t) = 5*a(t) - 4*m(t). Calculate n(-4).
-19
Let o(w) = -2*w + 26*w**2 + 0*w**3 + w**3 - 92*w**2 + 21*w**2 + 39*w**2. Suppose -16*l - 20*l + 216 = 0. Calculate o(l).
-12
Let j = 112646 + -112649. Suppose 3*z + 2*n = 4, -4*z + z + 5*n = -11. Let p(o) = -2*o - z*o - 5*o**2 + 2*o - o**3. Determine p(j).
-12
Suppose 41*z - 37*z - 65 = -3*x, -2*z = -4*x - 38. Let a(t) = -2*t**3 + 35*t**2 - 16*t + 19. Calculate a(z).
36
Let m be (17 - 27 - -12)/(-2 + 8/3). Let j(u) = u - 6*u**2 + 0*u + 3*u**2. What is j(m)?
-24
Let z(g) = -51 - 20*g + 51 - 29*g + 55*g. Calculate z(8).
48
Let h = -14199 - -14191. Let u(f) = f**2 + 8*f - 4. Calculate u(h).
-4
Let h be (-1)/(-2)*(-10 - -18). Let a be 1/1*(h + -2). Let v(p) = -7 - 10*p + 23 - 8 - p**a - 6. Give v(-10).
2
Let i(z) = z - 1. Let h = 63 - 65. Let w be (h + 1 + 2)*-3 + 43. Let a = -36 + w. Give i(a).
3
Let i be ((-21)/420*5)/((-2)/(-16)). Let g(p) = -p**3 - p**2 - 1. Let n(z) = -z**3 - z**2 + 2*z - 4. Let v(y) = -3*g(y) + n(y). Calculate v(i).
-13
Let c(k) = 62*k + 2600. Let q be c(-42). Let m(s) = s - 15. What is m(q)?
-19
Let r(l) = -11*l - 25. Let p(h) = 25*h + 53. Let d(b) = -6*p(b) - 13*r(b). What is d(-13)?
98
Let w(k) = -10*k - 66. Let v = 14198 - 14216. Calculate w(v).
114
Let a(z) be the third derivative of -z**6/180 + z**5/60 - z**4/6 + 119*z**3/6 - 3*z**2 - 14. Let r(w) be the first derivative of a(w). What is r(3)?
-16
Let g(q) be the second derivative of -q**4/3 + 14*q**3/3 - 16*q**2 + 421*q - 1. Determine g(5).
8
Suppose -1 = -3*l - 7. Let d(z) be the second derivative of -7*z**4/24 - z**3/3 + 13*z**2 - 60*z. Let q(k) be the first derivative of d(k). Give q(l).
12
Let b(y) = 39*y + 17. Let h(d) = -8*d - 17. Let l(i) = 4*i + 8. Let t(n) = -6*h(n) - 13*l(n). Let g(w) = 2*b(w) + 18*t(w). Give g(2).
10
Let n be ((-11)/33)/((-3)/(-27)). Let p(t) = 6*t**2 - 2*t + 4. What is p(n)?
64
Let d(t) = -2 - 2*t + 4*t**3 + t**2 + t - 3*t**3. Let f = -232 + 232. Suppose -13*z - l + 9 = -18*z, f = -4*l - 4. What is d(z)?
-4
Let n(o) = -o**3 + 10*o**2 - 6*o - 51. Suppose -81*r - 4*f - 60 = -85*r, -f - 51 = -5*r. Determine n(r).
-24
Let p(s) be the third derivative of 109*s**5/60 + s**4/8 + s**3/6 - 2867*s**2. Calculate p(-1).
107
Let w be 3*((-1300)/90 + 15) - 20/(-6). Let u(j) = -j**3 + 4*j**2 + 17*j - 56. Determine u(w).
4
Let r = 349 + -349. Let j(b) be the first derivative of -b**4/4 + b**3/3 - b**2/2 + 2*b - 119. Give j(r).
2
Let t = -405 + 401. Suppose -3*u - 15 = -8*u. Let i(q) = -3*q**2 + 2*q - 4. Let a(g) = 2*g**2 - g + 2. Let y(n) = u*i(n) + 5*a(n). Give y(t).
10
Let t = -248 - -261. Suppose -v = -0*n - 3*n - 3, -3*v - 2*n - t = 0. Let x(f) = -3*f**2 + f - 2. Calculate x(v).
-32
Let h(o) = 9*o**2 + 4*o + 2. Let a be (1 + -4)*(210/63)/10. Give h(a).
7
Let d be ((-2)/(-3))/((-15)/(-360)). Suppose 0 = d*s - 13*s - 15. Let y(r) = -s*r + 4*r + 0*r + 3 - 1. Calculate y(5).
-3
Let v(k) = -k**2 + 13*k - 14. Let d(i) = 2*i - 3. Let c(r) = r + 1. Let f(u) = 6*c(u) - 2*d(u). Let q be f(0). What is v(q)?
-2
Let u(o) = o**2 - 7*o - 6. Let n(v) = v**2 + 2*v. Let g be n(-2). Suppose g = 131*m - 127*m - 32. Give u(m).
2
Let p(t) be the third derivative of -t**4/6 + t**3/3 - 1413*t**2. Let u(v) = -6*v**3 + 2*v - 1. Let k be u(1). What is p(k)?
22
Let d(n) = n**2 + n - 5. Suppose -5*k = 3*g + 7 + 9, 3*k = 2*g - 21. Give d(k).
15
Let u(m) = 252 - 457 + 216 - 23*m. Calculate u(0).
11
Let g(l) = l**2 + 7*l + 6. Let w be g(-5). Let u(h) = 51*h**3 - 8 + 2*h**2 + 2*h**2 - 50*h**3 - 9 + 9 - 4*h + 7. Calculate u(w).
15
Suppose 516*m - 562 - 1283 = -99*m. Let f(i) be the third derivative of i**6/120 + i**5/60 - i**4/8 - i**3/3 - i**2. What is f(m)?
25
Let u(o) = -3*o - 3. Let h be ((-14)/28)/((-2)/(-20)). Let q(z) = -2*z - 2. Let g(r) = h*u(r) + 7*q(r). Give g(-7).
-6
Let h(l) = -l**2 + 13*l + 235. Let u be h(23). Let x(z) = 2*z**2 + 12 + u*z**2 - 4 + 11*z - 6*z**2 + 3. What is x(-9)?
-7
Let o = 209 + -214. Let r(z) = 15*z + 73. Give r(o).
-2
Let a(o) = -147*o - 151*o - 13 + 2 + 299*o. Give a(6).
-5
Let o(x) be the first derivative of x**4/12 + x**3/2 + 13*x**2 + 105. Let d(w) be the second derivative of o(w). What is d(6)?
15
Let s be -3 + (-53 - -58) + 1/(-1). Suppose 4*w + 5 - 17 = 0. Let a(x) = 1 - 2*x + 2*x**2 - x**2 + x**3 + 5*x**w. Give a(s).
6
Let h be 0/(((-3)/(-1))/3). Suppose h = -c - 31 + 27. Let k(v) be the first derivative of v**4/4 + 4*v**3/3 - v**2/2 - 4*v + 30. Calculate k(c).
0
Let h(t) = t**3 - 2*t**2 - t + 55. Let v(w) = w**3 - 3*w**2 - w + 65. Let d(f) = -6*h(f) + 5*v(f). What is d(3)?
-56
Let n(o) = 14*o**2 - 32*o + 8. Let q(a) = -5*a**2 + 11*a - 3. Let g(h) = 6*n(h) + 17*q(h). Let p be ((15/54)/((-22)/(-264)))/(10/(-12)). Give g(p).
1
Let x(o) = -2296371*o + 4592739*o - 3 - 21 - 2296367*o. Let k = -1 + 1. Determine x(k).
-24
Let p = 156 - 76. Let u = p + -36. Let y(g) = g - 18 + u - 17. Give y(-11).
-2
Let a(h) = -27 - 21*h**2 - 24 + 7*h**2 + 9*h + 38 + 7*h**2 + h**3. Calculate a(6).
5
Let p(x) = -3*x + 13. Suppose 4*z + 1786 + 1975 = -i, 3*i = -3. Let c = 946 + z. What is p(c)?
-5
Let z(j) = 2*j**2 + j + 2 - 3*j**2 + 3. Let a(t) = 12*t**2 - 31*t. Let d be a(4). Let f = d + -64. Give z(f).
-7
Let p(z) = -867 + 868 + 18*z - 21*z. Suppose 2*a - 12 = -2*a. Calculate p(a).
-8
Let b = -418 - -420. Let j(m) = -m - 2*m + 6*m**b + 73 + m**3 + 67 - 152. What is j(-6)?
6
Let h(a) = 5*a**2 - 21*a - 257. Let x(q) = -4*q**2 + 14*q + 256. Let k(r) = 3*h(r) + 4*x(r). Give k(-20).
-7
Let c(n) = 134 + 143 - 278 + 3*n + 3*n + n**2. Suppose y = -0*y - 7. Give c(y).
6
Suppose 4*a - 416 = 3*s + 922, -4*s + 680 = 2*a. Let z(n) = 164*n - a*n + 173*n. What is z(1)?
1
Let k be (-1)/(1/(-6))*(-40)/(-30). Let y be ((-15)/(-2) + -1)*-2. Let t(r) = -7*r + 1. Let p(b) = 3*b. Let g(a) = y*p(a) - 6*t(a). What is g(k)?
18
Let s(j) = -9*j + 36. Suppose -39577*u - 124 = -39608*u. What is s(u)?
0
Suppose 51 = 3*l - u, -u + 1 = 4. Suppose l = j + 4*i, 6*j = j + 4*i + 8. Suppose n = 3*o - 2*o + 8, 4 = j*o + 5*n. Let b(g) = g**2 + 3*g + 4. What is b(o)?
8
Suppose 83*d - 10*d - 213 = 2*d. Let f(z) = z**2 - 2*z - 2. Calculate f(d).
1
Let i = -166 - -244. Suppose i = -a + 14*a. Let b(z) = -z + 1. Give b(a).
-5
Let w(d) = 24 + 60 - 9*d - 10*d - 6*d + 67. Give w(6).
1
Let r(g) = -4 + 1130*g + 0*g**2 - 7*g**2 + 9*g**2 - 1116*g - 4. Give r(-7).
-8
Let y(s) be the first derivative of s**2 + 20*s - 2977. Calculate y(8).
36
Let f(g) = 6*g + 0*g - 5 - 8*g + g**2. Let m(a) = -3*a**2 - 68*a - 396. Let q(b) = -b**2 - 23*b - 132. Let w(o) = 2*m(o) - 7*q(o). Let h be w(-18). Give f(h).
19
Suppose 3 = 4*s - 4*b + 11, -4*s + 19 = 5*b. Let w(n) = 10 - 4*n + 1 + 3 - s. What is w(9)?
-23
Let f(a) be the first derivative of -a + 90 + 27 + a**2 - 11*a. What is f(10)?
8
Suppose 0 = 4*z - 15 + 39. Let l(j) = -7*j**3 - 8*j**2 + 5*j - 7. Let a(c) = -5*c**3 - 7*c**2 + 6*c - 4. Let w(g) = -3*a(g) + 2*l(g). Give w(z).
10
Let n(l) = -58*l + 12 - 26*l**2 + l**2 + 18*l**2 + 10*l**2. Give n(19).
-7
Let m be 59/(-236) - 2/(-8) - 4/(-1). Let l(k) = k**3 - 3*k**2 - k - 10. Calculate l(m).
2
Let s(p) = 4*p**2 + 5*p + 6. Let a(f) = f**2 + 1. Suppose 10 = v - 4*k - 15, -5*k = 3*v + 10. Let g(o) = v*a(o) - s(o). Determine g(5).
-1
Let w(d) = d. Let c(z) = z + 9. Let g(o) = c(o) + 3*w(o). Let v(t) = -t**2 + 8*t - 13. Let u be v(7). What is g(u)?
-15
Let r(s) = s**3 + s**2 - 2*s - 69. Suppose 128*c = -87*c. Give r(c).
-69
Let v(s) be the first derivative of s**4/24 - s**3/2 - 37*s**2 + 136. Let y(g) be the second derivative of v(g). What is y(3)?
0
Let o(r) = r**2 + 4*r - 10. Let h be o(-6). Suppose 10 = 4*d + h*u, -d + 5*u + 19 = -0*d. Suppose 5*j - d*j - 2 = 0. Let i(a) = -4*a - 2. Determine i(j).
-10
Let q be (10/(-2))/(30/(-12)). Let d(k) = -k + 4. Let c be d(q). Let u(n) = 0*n - 3*n - 3 + 9*n. Calculate u(c).
9
Let q(f) be the first derivative of -2*f**3/3 - 55*f**2/2 - 28*f + 3150. Determine q(-27).
-1
Let p = 2266 - 2256. Let z(j) = j**3 - 10*j**2 - j + 29. Determine z(p).
19
Suppose -2 - 6 = 2*o, -2*o = 3*j + 2. Suppose -6 = 4*q + j. Let t(z) be the second derivative of z**3/3 - z**2 + 155*z. Give t(q).
-6
Let l(s) = -3*s**2 - s + 9. Let g(t) be the third derivative of t**5/15 + t**4/24 - 4*t**3/3 - 8*t**2 + 3. Let v(j) = -2*g(j) - 3*l(j). Determine v(0).
-11
|
{
"pile_set_name": "DM Mathematics"
}
|
80*b**2
Find the third derivative of 6*o**6 - 72*o**6 + 91*o**2 + 173*o**6 wrt o.
12840*o**3
Let l be 0 + (-1 + -1)*-1. Let m(w) = -w**2 + 13*w - 20. Let j be m(11). Find the second derivative of -2*b**2 + b**l - 2*b**2 - 2*b - b**j wrt b.
-8
Let x(n) = -885*n**2 + 14*n + 11. Let c(l) = 592*l**2 - 9*l - 7. Let m(i) = -8*c(i) - 5*x(i). Find the second derivative of m(t) wrt t.
-622
Let s(a) = -2*a**2 - 4*a + 10. Let x be s(-3). Differentiate 11*b**x - 18 - 15571*b**2 + 15571*b**2 wrt b.
44*b**3
Let a(i) = -816*i**3 - 9*i**2 - 9*i + 112. Let v(z) = -408*z**3 - 4*z**2 - 4*z + 55. Let n(s) = -4*a(s) + 9*v(s). Find the first derivative of n(j) wrt j.
-1224*j**2
Let c be (-84)/30*10/(-4). Suppose -u = -c*u + 48. Find the third derivative of 9*p - 2*p**2 - u*p**2 - 9*p + 13*p**3 wrt p.
78
Suppose -5*j + 4 + 21 = 0. What is the second derivative of -j*m**3 + 0*m**3 - 10*m + 5*m**3 - 9*m**5 wrt m?
-180*m**3
Let v(s) be the third derivative of 259*s**6/120 + s**5/20 - 25*s**4/24 + 167*s**2. Find the third derivative of v(h) wrt h.
1554
What is the third derivative of -1088*k + 563*k**3 + 1088*k + 165*k**2 wrt k?
3378
What is the second derivative of -23*z + 241*z**2 + 231*z + z + 192*z**2 wrt z?
866
Suppose 12*h - 3 = 9*h. Let y = -1 + h. What is the first derivative of 0 - 5 + y + 0*q**3 + 4*q**3 wrt q?
12*q**2
Let r(u) = -4*u**3 + 6*u**2 + 38*u + 49. Let w(h) = -h**2 - h - 3. Let g(c) = r(c) + 6*w(c). What is the first derivative of g(m) wrt m?
-12*m**2 + 32
Find the third derivative of 24*f - 87*f**3 + 4*f**2 + 26*f**3 + 0*f**2 - 11*f**2 - 106*f**3 wrt f.
-1002
Let x(t) be the first derivative of -t**5/6 - 5*t**3/6 - 6*t**2 + 3. Let y(o) be the second derivative of x(o). Differentiate y(l) wrt l.
-20*l
Suppose -3*d = -7 - 2. Suppose 11 = 2*a - s, 0*a - d*s = -4*a + 25. What is the derivative of 3*j**a - 11*j**4 + 1 + 10*j**4 wrt j?
8*j**3
Suppose -40 + 10 = -6*j. Differentiate -7*y**4 - 14 - j*y**4 + 2*y**4 - 2*y**4 with respect to y.
-48*y**3
Let y(r) be the third derivative of -1/336*r**8 + 0 + 0*r - 8/15*r**5 + 0*r**7 + 0*r**4 - 2*r**2 + 0*r**3 + 0*r**6. What is the third derivative of y(i) wrt i?
-60*i**2
Let m(l) be the first derivative of -l**10/630 + l**6/30 - 2*l**3/3 + 8. Let j(k) be the third derivative of m(k). What is the third derivative of j(x) wrt x?
-960*x**3
Find the third derivative of 12601*g**2 + 9*g**6 - 124*g**6 - 12511*g**2 wrt g.
-13800*g**3
Let z(s) be the second derivative of -s**2/2 - 5*s. Let k(c) = -7*c**2 - 11*c - 6. Let q(f) = -k(f) + 6*z(f). Find the second derivative of q(o) wrt o.
14
Find the third derivative of 35*d**6 + 1205028*d**2 - 747*d**6 - 1204928*d**2 wrt d.
-85440*d**3
Suppose -4*r + 9 + 3 = 0. Let m be ((-1)/(-2))/(r/12). Find the first derivative of a**3 - m + 1 + a**3 wrt a.
6*a**2
Let k(s) = 23*s**4 + 5*s**3 - 2*s**2 - 72. Let v(q) = 34*q**4 + 8*q**3 - 4*q**2 - 108. Let d(h) = 8*k(h) - 5*v(h). What is the derivative of d(p) wrt p?
56*p**3 + 8*p
Let u(t) = t**2 - 2*t - 7. Let a(c) = 2*c**2 - 3*c - 6. Let g be (2 + -2 - -3) + 4. Let w(p) = g*a(p) - 6*u(p). What is the second derivative of w(o) wrt o?
16
Let z(w) be the second derivative of 47*w**4/12 + w**3/3 + 43*w**2/2 - 65*w. What is the second derivative of z(y) wrt y?
94
Find the second derivative of -84*a**3 - 222*a**5 + 83*a**3 + 17 - 112*a**5 + 15*a wrt a.
-6680*a**3 - 6*a
Suppose 5*l = l. Suppose l = -t - 4 + 8. Find the second derivative of 5 - 3*p**2 - t*p**2 - 5 - 12*p wrt p.
-14
Let b(d) be the first derivative of -85*d**6/3 + 106*d**3/3 - 100. Find the third derivative of b(z) wrt z.
-10200*z**2
Let h be (-3)/7 - (-90)/14. Let v be (h/(-8))/((-3)/24). Differentiate -2 - v + 4*n - 2*n + 0*n with respect to n.
2
What is the second derivative of 334*i - 4*i**2 + 2*i**2 - 369*i + 16*i**5 wrt i?
320*i**3 - 4
Suppose 0 = 4*d + d - 10. Suppose 0 = -2*z - d*z. Find the third derivative of z*x**3 + 8*x**2 + 3*x**3 + 0*x**3 wrt x.
18
Suppose -4*s + 13 = -4*f + 3*f, 4*s = -5*f + 31. Find the second derivative of -31 - 9*a**f + 31 - 8*a wrt a.
-54*a
Let y(o) be the third derivative of 5*o**8/336 + o**6/60 - 3*o**5/5 - 2*o**2 + 36*o. Find the third derivative of y(j) wrt j.
300*j**2 + 12
Let f(h) be the third derivative of 2*h**6/15 + h**5/60 - 487*h**3/6 - 575*h**2. What is the derivative of f(p) wrt p?
48*p**2 + 2*p
What is the third derivative of 37*l**2 + 13*l**4 - 458 - 3*l**4 + 458 - 7*l**3 - 2*l wrt l?
240*l - 42
What is the second derivative of 232*h**3 - 98*h - 61*h + 2 - 655*h**3 - 185*h**3 wrt h?
-3648*h
Suppose -2*t + 8 = 4. Find the second derivative of -106*w + 18*w**4 + 2*w**2 + 126*w - t*w**2 wrt w.
216*w**2
Suppose -3*g = 2*w - 0 - 13, 4*g - 5*w - 25 = 0. What is the first derivative of 3*v + 10*v**2 + g + 21*v**2 - 3*v wrt v?
62*v
Let g(d) be the first derivative of 220*d**3/3 - 11*d**2/2 + 2*d + 185. Find the second derivative of g(i) wrt i.
440
Let p(t) = 15*t**4 + 11*t**3 + 26*t**2 - 5. Let n(j) = -2*j**4 - j**3 + 1. Let s(m) = 5*n(m) + p(m). Find the third derivative of s(x) wrt x.
120*x + 36
Let f(h) be the third derivative of 0 + 8*h**2 - 5/3*h**3 + 0*h + 5/24*h**4. What is the first derivative of f(j) wrt j?
5
Let s = -43 + 51. Differentiate -9*z**3 + 3*z**3 + s + z**3 wrt z.
-15*z**2
Let m(v) be the third derivative of 0 + 16*v**2 + 0*v + 1/24*v**6 + 0*v**5 + 0*v**4 - 5/2*v**3. Differentiate m(x) with respect to x.
15*x**2
Suppose 5*a - 7*a + 38 = 0. What is the first derivative of a + 0*x**2 - 6*x**2 + 0*x**2 wrt x?
-12*x
Let d = -17 + 23. Find the first derivative of d + 42*t + 0 - 4*t + 11 wrt t.
38
What is the second derivative of 119*k**2 + 4*k**3 - 119*k**2 + 38*k - 1 + k**4 wrt k?
12*k**2 + 24*k
Let a(s) = 124*s**4 - 5*s**3 + 85. Let w(d) = 186*d**4 - 7*d**3 + 128. Let v(c) = 7*a(c) - 5*w(c). Differentiate v(r) wrt r.
-248*r**3
Let d(t) be the second derivative of -199*t**3/6 + 200*t**2 + 191*t. What is the derivative of d(y) wrt y?
-199
Let p(j) be the second derivative of 19*j**5/10 + j**4/2 + j + 3. Find the third derivative of p(z) wrt z.
228
Let j(g) be the second derivative of -g**8/2240 - g**7/504 - g**4/12 + 9*g. Let v(b) be the third derivative of j(b). Find the third derivative of v(u) wrt u.
-18
Let k(i) be the third derivative of 341*i**7/105 - 539*i**5/60 + 66*i**2 + 5. Find the third derivative of k(l) wrt l.
16368*l
Let t(b) be the second derivative of 0*b**5 + 0 - 11*b + 0*b**2 - 13/21*b**7 - 13/4*b**4 + 0*b**3 + 0*b**6. Find the third derivative of t(y) wrt y.
-1560*y**2
Let k(b) = -13*b + 6*b - 9 + 9*b. Let s be k(7). Find the second derivative of 3*a**s + 9*a**4 - 9*a**4 + 4*a wrt a.
60*a**3
Let h = 39 - 35. Let l(d) be the first derivative of 0*d - d**2 - h - 2/5*d**5 + 0*d**4 + 0*d**3. Find the second derivative of l(a) wrt a.
-24*a**2
Let g(i) be the second derivative of 0*i**4 - 23*i - 1/2*i**5 + 0 + 0*i**2 - 5/3*i**3. Find the second derivative of g(c) wrt c.
-60*c
Suppose l = -10 + 1. Let n be 3*(-6)/l + 2. Find the second derivative of -8*x - n*x**4 - 123*x**2 + 123*x**2 wrt x.
-48*x**2
What is the first derivative of 199 - 6*j**2 + 15 + 12853*j**4 - 12840*j**4 wrt j?
52*j**3 - 12*j
What is the derivative of 5 - 5 + 169 - 212*k wrt k?
-212
Let u be (-347)/5 + (-54)/90. Let f be (4/(-7))/(20/u). What is the third derivative of b**2 + 8*b**5 - 4*b**5 + f*b**5 wrt b?
360*b**2
Let q(a) = 9*a + 3. Let n = -23 + 25. Let h(d) = 8*d + 2. Let t(j) = n*h(j) - 3*q(j). Differentiate t(k) with respect to k.
-11
Suppose 45 = 14*l - 11*l. Let s be (-5)/l + 39/9. What is the third derivative of 2*f**2 + 3*f**2 - s*f**6 - 34*f**4 + 34*f**4 wrt f?
-480*f**3
Let b(o) = 2*o - 6. Let y be b(5). Suppose 4*z - 11 = -x, y*x + x - 4*z - 7 = 0. Find the first derivative of -25 + 36 + 0*q**2 - 8*q**x + 0*q**2 wrt q.
-24*q**2
What is the third derivative of 7*i**3 + 35*i**2 + 6*i**4 + 5*i**3 - 14*i**3 + 15*i**2 wrt i?
144*i - 12
Let u be (-22)/33*(-3)/1. What is the derivative of -11 + 1 - u*b - b wrt b?
-3
What is the derivative of -27*p**2 + 57*p**2 + 19*p**2 - 15 + 204*p**2 - 90 wrt p?
506*p
Let f(p) = -p**3 + 5*p**2 + p - 1. Let t be f(5). Suppose t = 3*b - 5. What is the third derivative of -65*k**3 + 35*k**3 - b*k**2 + 41*k**3 wrt k?
66
Let f(r) be the first derivative of 0*r**2 - r**3 + 5 + 1/4*r**4 + 6*r. Let o
|
{
"pile_set_name": "DM Mathematics"
}
|
94 divided by 3?
-5543298
-257012956 divided by 4
-64253239
0 divided by 91586243
0
Calculate -42972546 divided by -192702.
223
Divide -138003294 by 86306.
-1599
What is 74790864 divided by -923344?
-81
Divide 1 by -83367520.
-1/83367520
-2167984 divided by 20846
-104
-4072442 divided by -2
2036221
What is 7895167 divided by -5?
-7895167/5
Divide -48 by -273314.
24/136657
Calculate 46944606 divided by -82941.
-566
151345 divided by -115
-30269/23
-98125 divided by 14
-98125/14
What is -8619388 divided by 8619388?
-1
Calculate 31214449 divided by 1.
31214449
-2132968 divided by -1
2132968
Calculate 35548532 divided by 8887133.
4
What is 35148247 divided by -7?
-35148247/7
-2 divided by 24112993
-2/24112993
Divide 562544970 by -18751499.
-30
-191044 divided by -263
191044/263
Calculate 26270 divided by 335.
5254/67
What is 1 divided by -16020644?
-1/16020644
-5 divided by -35040956
5/35040956
Divide -228540312 by 39.
-5860008
Calculate 1893956 divided by 74.
25594
Divide -9 by -4278080.
9/4278080
What is -74066365 divided by -14813273?
5
What is 53150645 divided by -1?
-53150645
67176580 divided by 137
490340
Calculate 11594057 divided by 5.
11594057/5
What is 70552 divided by 1214?
35276/607
-15960 divided by -62
7980/31
What is -2760820 divided by 161?
-2760820/161
What is -2102 divided by 17950?
-1051/8975
What is -18773 divided by 10274?
-18773/10274
-36901644 divided by -473098
78
Divide -3534050 by 1.
-3534050
What is 7628322 divided by -2542774?
-3
What is -1 divided by -346250797?
1/346250797
Calculate -2 divided by 17446.
-1/8723
Divide -2 by 13786033.
-2/13786033
11082576 divided by -3
-3694192
Divide -8311303 by -247.
33649
Calculate -136 divided by 516854.
-68/258427
Calculate 18682435 divided by -3736487.
-5
Divide 1 by -15067112.
-1/15067112
Divide -2547700 by -636925.
4
What is 11881551 divided by -263?
-45177
Calculate 376421878 divided by -1.
-376421878
Calculate 263 divided by 5972.
263/5972
Calculate -3087644 divided by 4.
-771911
420 divided by -56783
-420/56783
What is 4126680 divided by -2?
-2063340
Divide 1014798 by 37.
1014798/37
Calculate -157043271 divided by -6.
52347757/2
Divide -23336865 by 3.
-7778955
-57776 divided by 81
-57776/81
Divide 17807764 by 26.
684914
25 divided by 111847
25/111847
Divide 955942208 by -4064.
-235222
What is 153 divided by -9113565?
-51/3037855
What is -16 divided by 1044736?
-1/65296
-935 divided by 1135
-187/227
0 divided by 489671511
0
Divide 83052672 by -265344.
-313
177135 divided by -5240
-35427/1048
What is 4819308 divided by -370716?
-13
Divide 2171015 by -5639.
-385
Calculate 4343913 divided by 1337.
3249
60 divided by -586175
-12/117235
Calculate -25752 divided by 165.
-8584/55
Calculate 21790928 divided by -5447732.
-4
-23560 divided by 19470
-2356/1947
Calculate 8311138 divided by 6.
4155569/3
What is 10353 divided by 4214?
1479/602
What is 5690790 divided by 90?
63231
What is -4318 divided by 1595?
-4318/1595
Divide 201 by -18127.
-201/18127
What is 305394 divided by 20?
152697/10
Calculate 10553049 divided by -117.
-90197
44 divided by -66353
-44/66353
Divide 603916 by 129.
603916/129
-568190 divided by -2
284095
-470 divided by -65386
235/32693
Divide -45 by -630925.
9/126185
What is 19924 divided by -370?
-9962/185
26191118 divided by 15254
1717
3290340 divided by -305
-10788
What is -422257 divided by 52?
-422257/52
Calculate -120 divided by -37776.
5/1574
254 divided by 12073
254/12073
Divide -586879 by -41.
586879/41
-2479 divided by -11661
2479/11661
Calculate -42952561 divided by 67.
-641083
What is 8 divided by -82195?
-8/82195
What is 110363196 divided by 6?
18393866
Calculate 9486568 divided by -1185821.
-8
What is -12415950 divided by -16230?
765
Divide 2099 by 3801.
2099/3801
Calculate -193936 divided by -368.
527
What is 13450620 divided by -12?
-1120885
What is 73 divided by -24370?
-73/24370
Calculate -21317 divided by 155.
-21317/155
What is 453 divided by -22628?
-453/22628
What is 76101 divided by 264?
25367/88
What is 336076033 divided by 79?
4254127
What is -257480 divided by -7?
257480/7
What is 1370502 divided by 6258?
219
7945075 divided by 1
7945075
Calculate 1 divided by -683954.
-1/683954
16219153 divided by 9
16219153/9
Divide 1056709 by 7.
1056709/7
Calculate -1470 divided by 14195.
-294/2839
What is -134 divided by -63336?
67/31668
-902492872 divided by 48974
-18428
Calculate 30216 divided by -1970.
-15108/985
14856120 divided by 5692
2610
Divide 2638224 by -372.
-7092
What is 200788203 divided by -869213?
-231
What is -9961 divided by -6419?
1423/917
Calculate 4786836 divided by 12.
398903
What is 1489001 divided by 1?
1489001
Divide -175816464 by 4016.
-43779
Calculate -18653400 divided by 746136.
-25
Calculate 451585 divided by -649.
-451585/649
What is 76360 divided by 20?
3818
What is 2998541 divided by -36127?
-83
Calculate -236529612 divided by -396.
597297
Calculate 217507864 divided by 33922.
6412
Calculate 351971544 divided by 6.
58661924
Divide 14271655 by 5.
2854331
What is 87745 divided by -763?
-115
2981716 divided by -20998
-142
What is -1288055250 divided by 6?
-214675875
-73939 divided by 533
-73939/533
Divide -212824939 by 212824939.
-1
Divide 15316425 by 340365.
45
Calculate 4 divided by -51092571.
-4/51092571
Divide 4283 by -5737.
-4283/5737
Divide 930 by 660084.
155/110014
-197 divided by -164014
197/164014
Divide 940975556 by -3.
-940975556/3
36 divided by 292312
9/73078
What is -120893184 divided by -472239?
256
What is -373249 divided by 263?
-373249/263
14930 divided by -14385
-2986/2877
Calculate -685001 divided by -107.
685001/107
1371629 divided by 1
1371629
-157586450 divided by -25
6303458
Calculate -4928 divided by 674.
-2464/337
1835292 divided by 11
1835292/11
What is -80644 divided by 1432?
-20161/358
Calculate 57914102 divided by -2.
-28957051
What is 20163723 divided by 11771?
1713
What is -26878905 divided by 5375781?
-5
What is -23271338 divided by 23271338?
-1
Divide 6 by 9161.
6/9161
Calculate 2099 divided by 1686.
2099/1686
Calculate 1872491 divided by 5.
1872491/5
What is 2894752 divided by 206768?
14
-43171254 divided by -2
21585627
Divide 3971 by -114130.
-3971/114130
Divide -851368 by 425684.
-2
What is -14518385 divided by 9?
-14518385/9
-5762 divided by -41539
5762/41539
Divide 6 by 28054982.
3/14027491
-187466664 divided by 109758
-1708
Calculate 6881280 divided by 1376256.
5
16 divided by -528262
-8/264131
Divide -5937680 by 36880.
-161
2203078 divided by 1081
2038
Divide -6886785 by 17.
-405105
Calculate -3167 divided by 10064.
-3167/10064
Calculate 35 divided by 6273819.
35/6273819
-8 divided by -12161932
2/3040483
31 divided by -441684
-31/441684
-19 divided by 786468
-19/786468
-3226652 divided by 2
-1613326
Calculate -4016592 divided by 55786.
-72
Calculate 264854528 divided by 132427264.
2
Divide 2936 by -40255.
-2936/40255
Calculate -2774346 divided by -4098.
677
What is 159483 divided by -1627?
-159483/1627
What is -57 divided by -945084?
19/315028
Divide 1792101 by -377.
-1792101/377
What is 603 divided by 34239?
201/11413
What is -82271781 divided by -2?
82271781/2
2 divided by 194500804
1/97250402
-29567634 divided by -3378
8753
-11798 divided by -16
5899/8
What is -136 divided by 13696?
-17/1712
Divide -22496749 by 4.
-22496749/4
Divide 12 by 18900356.
3/4725089
Divide -27 by 35093.
-27/35093
32260176 divided by 10753392
3
Divide 26238436 by 3748348.
7
What is 3 divided by -8567745?
-1/2855915
Divide -60129510 by 2004317.
-30
Divide -490246624 by 112.
-4377202
What is 1243410 divided by -85?
-248682/17
Divide 3577762 by 20.
1788881/10
Calculate -1 divided by 58110414.
-1/58110414
58908664 divided by 5309
11096
-15289800 divided by -2550
5996
Divide 11247126 by -11.
-1022466
Calculate 23319625 divided by 666275.
35
Calculate 2 divided by 11405975.
2/11405975
What is -92852730 divided by 73170?
-1269
Divide 2674320 by -24312.
-110
Divide 189803042 by -8627411.
-22
Divide 3992 by 3534.
1996/1767
Divide 7737535 by -1547507.
-5
Divide 496372381 by 5.
496372381/5
Divide 162703240 by 5810.
28004
17642640 divided by -636
-27740
What is 33 divided by 9482437?
33/9482437
What is 9556691 divided by 10?
9556691/10
Calculate -6026 divided by -38119.
6026/38119
Divide -5 by -6304757.
5/6304757
Div
|
{
"pile_set_name": "DM Mathematics"
}
|
32?
2, 3, 822139
What are the prime factors of 24543510?
2, 3, 5, 173, 4729
What are the prime factors of 25921119?
3, 7, 59, 20921
List the prime factors of 226747609.
11, 31, 664949
List the prime factors of 363778991.
2591, 140401
List the prime factors of 50030394.
2, 3, 29, 271, 1061
What are the prime factors of 81953416?
2, 23, 313, 1423
What are the prime factors of 8886954755?
5, 7, 109, 151, 15427
List the prime factors of 64547905.
5, 53, 243577
What are the prime factors of 2104141569?
3, 431, 1627333
What are the prime factors of 554127326?
2, 43, 739, 8719
List the prime factors of 12522913.
13, 963301
List the prime factors of 171608740.
2, 5, 107, 80191
List the prime factors of 3518939280.
2, 3, 5, 23, 637489
List the prime factors of 1005290541.
3, 109, 341587
List the prime factors of 956099894.
2, 478049947
List the prime factors of 366131215.
5, 67, 1092929
List the prime factors of 42000181.
3989, 10529
What are the prime factors of 31616317?
1579, 20023
What are the prime factors of 2077708305?
3, 5, 59, 2347693
What are the prime factors of 27004047?
3, 7, 23, 163
List the prime factors of 13723308.
2, 3, 103, 3701
What are the prime factors of 2039050219?
2039050219
What are the prime factors of 957976313?
7, 19550537
List the prime factors of 7229079953.
2803, 2579051
What are the prime factors of 1176575216?
2, 73535951
What are the prime factors of 310941230?
2, 5, 31094123
List the prime factors of 209147097.
3, 69715699
What are the prime factors of 100622878?
2, 67, 750917
What are the prime factors of 7873957260?
2, 3, 5, 13, 109, 30871
List the prime factors of 434259152.
2, 17, 1596541
List the prime factors of 409147518.
2, 3, 13, 103, 127, 401
What are the prime factors of 2550222?
2, 3, 141679
What are the prime factors of 79953229?
7297, 10957
List the prime factors of 2509611369.
3, 71, 11782213
List the prime factors of 302049804.
2, 3, 7, 443, 8117
What are the prime factors of 83097787?
89, 827, 1129
List the prime factors of 4112792.
2, 41, 12539
What are the prime factors of 37457757?
3, 67, 62119
What are the prime factors of 206912997?
3, 227, 101279
What are the prime factors of 120630304?
2, 103, 36599
What are the prime factors of 683643924?
2, 3, 18990109
List the prime factors of 1016145645.
3, 5, 29, 2335967
What are the prime factors of 2987285873?
11, 13, 1899101
What are the prime factors of 829598666?
2, 13, 2437, 13093
List the prime factors of 98732355.
3, 5, 1231, 5347
What are the prime factors of 26559435?
3, 5, 7, 19, 13313
What are the prime factors of 1241290243?
23, 149, 281, 1289
What are the prime factors of 211547525?
5, 7, 1208843
What are the prime factors of 773750?
2, 5, 619
What are the prime factors of 1099752730?
2, 5, 179, 614387
List the prime factors of 78810856.
2, 41, 241, 997
List the prime factors of 52331164.
2, 23, 151, 3767
What are the prime factors of 22133256?
2, 3, 31, 71, 419
List the prime factors of 54173627.
97, 558491
What are the prime factors of 170459922?
2, 3, 83, 101, 3389
What are the prime factors of 1911487043?
1911487043
What are the prime factors of 92334733?
92334733
List the prime factors of 438648452.
2, 11, 9969283
What are the prime factors of 30891821?
30891821
What are the prime factors of 56880162?
2, 3, 3160009
List the prime factors of 76113678.
2, 3, 2273, 5581
What are the prime factors of 3025839098?
2, 1512919549
What are the prime factors of 233272485?
3, 5, 347, 14939
What are the prime factors of 776903221?
776903221
List the prime factors of 57346565.
5, 11469313
What are the prime factors of 202133713?
202133713
What are the prime factors of 152508027?
3, 7, 709, 10243
List the prime factors of 426596358.
2, 3, 239, 297487
What are the prime factors of 1759466566?
2, 11, 13, 31, 18041
What are the prime factors of 119093954?
2, 7, 23, 577, 641
What are the prime factors of 1181086171?
47, 4987, 5039
What are the prime factors of 28154076?
2, 3, 31, 75683
List the prime factors of 1861989029.
1861989029
List the prime factors of 156126719.
7, 22303817
What are the prime factors of 105210997?
457, 230221
What are the prime factors of 70330014?
2, 3, 839, 4657
List the prime factors of 637615620.
2, 3, 5, 151, 23459
List the prime factors of 72522114.
2, 3, 7, 757, 2281
What are the prime factors of 55568653?
7, 41, 193619
What are the prime factors of 166495?
5, 7, 67, 71
List the prime factors of 41216263.
11, 19, 197207
What are the prime factors of 34666397?
29, 199, 6007
What are the prime factors of 181214678?
2, 29, 37, 84443
List the prime factors of 1549679458.
2, 774839729
List the prime factors of 60045555.
3, 5, 47, 53, 1607
List the prime factors of 21168367.
11, 1924397
What are the prime factors of 19754947?
2237, 8831
List the prime factors of 1699438791.
3, 383, 1479059
List the prime factors of 345872180.
2, 5, 17293609
What are the prime factors of 82114261?
107, 767423
What are the prime factors of 2121544030?
2, 5, 2647, 80149
List the prime factors of 195871443.
3, 1259, 51859
What are the prime factors of 83383019?
3607, 23117
What are the prime factors of 76462604?
2, 131, 337, 433
List the prime factors of 1183133177.
1183133177
What are the prime factors of 3403947550?
2, 5, 68078951
List the prime factors of 141341512.
2, 13, 1359053
List the prime factors of 7304437.
7, 31, 41, 821
List the prime factors of 99580777.
23, 1063, 4073
List the prime factors of 411017307.
3, 137005769
List the prime factors of 7813995330.
2, 3, 5, 260466511
What are the prime factors of 61826998?
2, 30913499
List the prime factors of 751923953.
11, 37, 1009, 1831
List the prime factors of 210739364.
2, 11, 31, 154501
List the prime factors of 3657427334.
2, 11, 1531, 108587
List the prime factors of 601454787.
3, 257, 641, 1217
List the prime factors of 442804413.
3, 107, 137, 10069
List the prime factors of 104703460.
2, 5, 1129, 4637
What are the prime factors of 470629278?
2, 3, 7, 19, 809
What are the prime factors of 44587311?
3, 17, 97, 9013
List the prime factors of 890388467.
283, 347, 9067
List the prime factors of 132456499.
7, 503, 37619
What are the prime factors of 3011295550?
2, 5, 60225911
List the prime factors of 1303726072.
2, 11, 14815069
What are the prime factors of 186184333?
23, 37, 218783
List the prime factors of 363319395.
3, 5, 29, 835217
What are the prime factors of 1397619203?
1397619203
List the prime factors of 86421369.
3, 1831, 15733
List the prime factors of 32275710.
2, 3, 5, 61, 5879
What are the prime factors of 641395?
5, 37, 3467
What are the prime factors of 1960504941?
3, 653501647
What are the prime factors of 38297230?
2, 5, 1277, 2999
What are the prime factors of 1165876546?
2, 233, 2501881
List the prime factors of 1204557327.
3, 41, 3264383
What are the prime factors of 1073115812?
2, 5623, 47711
List the prime factors of 2793786430.
2, 5, 701, 398543
List the prime factors of 310710225.
3, 5, 7, 59, 1433
List the prime factors of 103829464.
2, 12978683
List the prime factors of 40093317.
3, 11, 404983
List the prime factors of 141153691.
7, 23, 876731
List the prime factors of 181312105.
5, 13, 23, 5273
What are the prime factors of 250239385?
5, 11, 61, 74587
List the prime factors of 450728247.
3, 150242749
What are the prime factors of 3829395?
3, 5, 59, 4327
List the prime factors of 45064496.
2, 2816531
What are the prime factors of 1284687339?
3, 13, 1693, 19457
List the prime factors of 141085792.
2, 19, 232049
List the prime factors of 2263771520.
2, 5, 643, 5501
What are the prime factors of 1870367849?
7, 2213, 120739
List the prime factors of 246977128.
2, 23, 1342267
What are the prime factors of 41591683?
7, 79, 75211
List the prime factors of 893853537.
3, 19, 73, 214817
What are the prime factors of 196250602?
2, 337, 291173
List the prime factors of 895587647.
895587647
List the prime factors of 12916521.
3, 863, 1663
List the prime factors of 1568696895.
3, 5, 11619977
List the prime factors of 715465978.
2, 17, 59, 356663
What are the prime factors of 1148447982?
2, 3, 11, 17400727
What are the prime factors of 251233661?
7, 73, 491651
What are the prime factors of 328612774?
2, 7, 23472341
List the prime factors of 1708376477.
1708376477
List the
|
{
"pile_set_name": "DM Mathematics"
}
|
sqrt(24)/sqrt(3))).
7*sqrt(19)
Simplify sqrt(19) + -3 + 2 + sqrt(19) + 1.
2*sqrt(19)
Simplify (3*sqrt(128)*-6)**2.
41472
Simplify (sqrt(160) + sqrt(10))/sqrt(2)*6 + sqrt(50)/(-1*sqrt(10))*-3.
33*sqrt(5)
Simplify -2*sqrt(20)/(sqrt(110)/(sqrt(55)/sqrt(5))).
-2*sqrt(2)
Simplify ((sqrt(1458) - (sqrt(1458) - sqrt(1458)*2)) + sqrt(1458))/(-2*sqrt(1296)) + -1.
-9*sqrt(2)/8 - 1
Simplify (-3*((sqrt(65) - sqrt(65)*-1) + sqrt(65)))/(sqrt(45) + sqrt(405) + sqrt(5)).
-9*sqrt(13)/13
Simplify sqrt(30)/sqrt(24)*1.
sqrt(5)/2
Simplify (3 + (sqrt(84)/(2*sqrt(12)) - -4*(sqrt(7) + 0 + sqrt(7))))**2.
51*sqrt(7) + 2059/4
Simplify -5*(sqrt(28) + -2 + (sqrt(28)/sqrt(2))/sqrt(2)).
-15*sqrt(7) + 10
Simplify -3*-3*sqrt(75)*5.
225*sqrt(3)
Simplify ((-5*sqrt(108) - sqrt(27))*1)**2.
3267
Simplify sqrt(85)/(sqrt(125) - -1*sqrt(125) - sqrt(125) - sqrt(5)).
sqrt(17)/4
Simplify (sqrt(4)/sqrt(32))**2*6.
3/4
Simplify (0 + sqrt(5) + -3)**2 + sqrt(900)/sqrt(5).
14
Simplify -3 + sqrt(242)*-1*1.
-11*sqrt(2) - 3
Simplify (0 + (0 + sqrt(11))*-1)**2.
11
Simplify (sqrt(176)*-1 - (sqrt(44)/sqrt(4)*5)**2) + -4.
-279 - 4*sqrt(11)
Simplify ((-3 + sqrt(17) + 2 + -3)*-2)**2.
-32*sqrt(17) + 132
Simplify sqrt(38)/(-1*sqrt(200) - sqrt(200)) + 1.
-sqrt(19)/20 + 1
Simplify sqrt(1216)*1 - ((sqrt(19) - 4*sqrt(38)/sqrt(2))**2 - sqrt(19)).
-171 + 9*sqrt(19)
Simplify (2*sqrt(4)*1)/(5*sqrt(4)/sqrt(2) - sqrt(2)).
sqrt(2)/2
Simplify (-2 + 2 + sqrt(5) + 0)**2.
5
Simplify sqrt(19) + 0 + sqrt(304) + -5.
-5 + 5*sqrt(19)
Simplify (sqrt(243) + -2*sqrt(243) + sqrt(243))/sqrt(9) - sqrt(27).
-3*sqrt(3)
Simplify sqrt(8)*-4 - (sqrt(98) + 3)**2.
-107 - 50*sqrt(2)
Simplify (4*sqrt(105)/sqrt(3))/sqrt(5).
4*sqrt(7)
Simplify 0 + (1 + sqrt(3))**2 + 0 + -1.
3 + 2*sqrt(3)
Simplify -4 + (3*(sqrt(176) + 1))**2 + 3.
72*sqrt(11) + 1592
Simplify (sqrt(143) - sqrt(143)*-1*3)/sqrt(11) + (sqrt(52)/((1*sqrt(28))/sqrt(7)))**2.
13 + 4*sqrt(13)
Simplify ((sqrt(153) - 1*sqrt(153))*6)/sqrt(9)*-1.
0
Simplify ((sqrt(14) - sqrt(378)/sqrt(3))/(-2*sqrt(2)*-2 + sqrt(2)))**2.
28/25
Simplify -5*(2*sqrt(14) - sqrt(14))/sqrt(7).
-5*sqrt(2)
Simplify sqrt(18)/sqrt(36)*-2 + -4.
-4 - sqrt(2)
Simplify (sqrt(96)*-4)/(sqrt(32)/(-2*sqrt(4))).
16*sqrt(3)
Simplify sqrt(68)/sqrt(4) + 3 - sqrt(204)/(2*sqrt(12)).
sqrt(17)/2 + 3
Simplify -2 + (sqrt(11) - (sqrt(44) - sqrt(11))) + -6*2*sqrt(11).
-12*sqrt(11) - 2
Simplify (1*sqrt(66)*-5)/sqrt(6).
-5*sqrt(11)
Simplify -3 + -1 + (sqrt(19)*1 - sqrt(19))**2*5.
-4
Simplify 0 + (-2*sqrt(75))**2 + -2.
298
Simplify sqrt(55)/((sqrt(180)*-4 - sqrt(180)) + sqrt(180)).
-sqrt(11)/24
Simplify sqrt(4)/(sqrt(14)/(-3*sqrt(7))).
-3*sqrt(2)
Simplify (-2*-1*sqrt(117))/(6*sqrt(81) + sqrt(9)).
2*sqrt(13)/19
Simplify ((1 + sqrt(11))*5 - sqrt(11))**2 + (sqrt(121)*2)/sqrt(11).
42*sqrt(11) + 201
Simplify (sqrt(117) + (sqrt(117) + 2)*1 - 6*(sqrt(117) + 0 - sqrt(117)))**2.
24*sqrt(13) + 472
Simplify (sqrt(25) - (sqrt(25) + (sqrt(250)*-1)/sqrt(10)))/(sqrt(15)/sqrt(3)*6).
sqrt(5)/6
Simplify ((sqrt(252)*-1)/sqrt(6))/(sqrt(486) + sqrt(486) + (sqrt(486) - -2*sqrt(486) - sqrt(486) - sqrt(486)) + sqrt(486)).
-sqrt(7)/36
Simplify (-4*sqrt(63)/(sqrt(18)/sqrt(2)))**2 + -1.
111
Simplify (-6*sqrt(44)/sqrt(4) - sqrt(11) - sqrt(11) - (sqrt(704) + 1))**2.
32*sqrt(11) + 2817
Simplify (((sqrt(121)*2)/sqrt(11))**2 - 6*(sqrt(396) + sqrt(11)))*3.
-126*sqrt(11) + 132
Simplify (sqrt(392)/sqrt(4)*-4)**2.
1568
Simplify ((sqrt(228)*-1 - sqrt(228))*4 + sqrt(228))/(sqrt(12) - (sqrt(12) - -1*sqrt(588))).
sqrt(19)
Simplify ((sqrt(216) + 3*sqrt(216))/sqrt(6))/sqrt(12).
4*sqrt(3)
Simplify (sqrt(13) - (sqrt(117)/sqrt(3) - sqrt(39))/sqrt(3)) + (sqrt(208)/sqrt(4))**2 + -1*1*sqrt(208).
-3*sqrt(13) + 52
Simplify ((sqrt(2299) - 1*sqrt(2299) - sqrt(2299))**2 + -3*sqrt(38)/sqrt(2))*-4.
-9196 + 12*sqrt(19)
Simplify ((sqrt(128)*3 - (sqrt(40) + (sqrt(80)/sqrt(2) - sqrt(40) - sqrt(40)) - sqrt(40))/sqrt(5))*-1)**2.
1352
Simplify (sqrt(117) + (sqrt(117)*-2 - sqrt(117)))/sqrt(9) + sqrt(1573)*-1.
-13*sqrt(13)
Simplify 0 + sqrt(153) + 2 + -4.
-2 + 3*sqrt(17)
Simplify (sqrt(147)*-2)**2*3.
1764
Simplify -2 + sqrt(112) + sqrt(7) - (sqrt(252) + 3 - sqrt(252))**2.
-11 + 5*sqrt(7)
Simplify 2 + (sqrt(153) + 0 - sqrt(272)*-2).
2 + 11*sqrt(17)
Simplify ((sqrt(637) - (3 + sqrt(637))) + (sqrt(13) - sqrt(26)/(sqrt(6)/sqrt(3))))**2.
9
Simplify (0 + sqrt(468) + 3)**2*-4.
-1908 - 144*sqrt(13)
Simplify 5 + 3 + sqrt(20).
2*sqrt(5) + 8
Simplify 6*(sqrt(7) + 1)*-3.
-18*sqrt(7) - 18
Simplify (-2 + sqrt(4)/sqrt(2) - (sqrt(32) + 2))**2*-5.
-170 - 120*sqrt(2)
Simplify sqrt(91)/(sqrt(7) - (sqrt(77)/(sqrt(11)*2) - sqrt(7))).
2*sqrt(13)/3
Simplify (-1*sqrt(85)*2 + sqrt(85))/(sqrt(40)/(sqrt(32)/sqrt(4))).
-sqrt(17)
Simplify 5*(sqrt(153) - -4*((3 + sqrt(153))**2 + sqrt(153))).
435*sqrt(17) + 3240
Simplify -1 + sqrt(18)/sqrt(24).
-1 + sqrt(3)/2
Simplify (sqrt(76) + 1)**2 + sqrt(171)*-1.
sqrt(19) + 77
Simplify -6*(sqrt(245) - 3*2*sqrt(245))**2.
-36750
Simplify (-1 + sqrt(272) + (sqrt(153) - (-2*sqrt(153) + sqrt(153))) + sqrt(153))**2.
-26*sqrt(17) + 2874
Simplify (sqrt(95) + (sqrt(95) - sqrt(95)*-2*4))/(sqrt(25)/sqrt(5)*-1).
-10*sqrt(19)
Simplify (5*(4 + 2*sqrt(3))*1)**2.
400*sqrt(3) + 700
Simplify (0 + (sqrt(90)/sqrt(3))/sqrt(10) + -4)**2.
-8*sqrt(3) + 19
Simplify (-2 + sqrt(272))*-2.
-8*sqrt(17) + 4
Simplify -5 + (sqrt(1300)*-1 + 2)**2 + 0.
-40*sqrt(13) + 1299
Simplify sqrt(10)/(sqrt(2) + sqrt(20)/(2*sqrt(10))).
2*sqrt(5)/3
Simplify (1*sqrt(8)*-2 - sqrt(8)) + (sqrt(8) - (sqrt(512)*1 - sqrt(512) - sqrt(512))).
12*sqrt(2)
Simplify (sqrt(612)*-1*1)**2.
612
Simplify ((sqrt(13)*3)**2 - sqrt(13)) + -5 - sqrt(156)/sqrt(432).
-7*sqrt(13)/6 + 112
Simplify (3 + -3 + sqrt(3) + 0)*3.
3*sqrt(3)
Simplify (sqrt(297)/(sqrt(11)*2) - (sqrt(135) - (sqrt(135)*1 + sqrt(135)))/sqrt(5))**2.
243/4
Simplify (2*sqrt(1539))**2 - sqrt(133)/(sqrt(21)/sqrt(3)).
-sqrt(19) + 6156
Simplify (-2*3*sqrt(80)*4)**2.
46080
Simplify -5 + (sqrt(200) - (6*2*sqrt(200))**2)*-1.
-10*sqrt(2) + 28795
Simplify -1*sqrt(242)*-6.
66*sqrt(2)
Simplify (sqrt(60) + sqrt(120)/sqrt(2))/sqrt(12) - ((sqrt(20)/sqrt(4))**2 + 4).
-9 + 2*sqrt(5)
Simplify 2 + (sqrt(11) + 2)**2 - (sqrt(33)/sqrt(3) + 3)**2.
-2*sqrt(11) - 3
Simplify (1*sqrt(275)*-4)**2.
4400
Simplify (sqrt(7) + sqrt(112))*3 - (sqrt(7)*-1 + sqrt(7))*6.
15*sqrt(7)
Simplify (sqrt(3) + -3)*5 + (sqrt(48) + 3)**2.
42 + 29*sqrt(3)
Simplify -3 + sqrt(605) + (sqrt(5) + (sqrt(5) - (sqrt(5) + 1 + -3)) - sqrt(5)).
-1 + 11*sqrt(5)
Simplify -1*1*(3 + sqrt(85)/sqrt(5)).
-sqrt(17) - 3
Simplify 0 + (-2*sqrt(1053) + 5)**2.
-180*sqrt(13) + 4237
Simplify 6*(sqrt(68)*-4 - sqrt(68))**2*-3.
-30600
Simplify (0 + sqrt(567))*4 - -2*sqrt(567)*2.
72*sqrt(7)
Simplify ((sqrt(68) - sqrt(68)*4)/sqrt(4))**2 - sqrt(204)/sqrt(108).
-sqrt(17)/3 + 153
Simplify ((sqrt(330) + sqrt(330) + (sqrt(330)*1 - sqrt(330)))/sqrt(10))/(2*sqrt(275)).
sqrt(3)/5
Simplify -1 + (sqrt(612) + 1 + sqrt(612))**2 - (sqrt(612) + (sqrt(612) - (sqrt(612) + 0))**2 + sqrt(612))*5.
-36*sqrt(17) + 2448
Simplify 4*(sqrt(1539) + 0 - -1*sqrt(57)/sqrt(3))**2.
7600
Simplify -2 + (sqrt(18) + -1*sqrt(18) - sqrt(18)).
-3*sqrt(2) - 2
Simplify (sqrt(1200)*-3)/sqrt(4).
-30*sqrt(3)
Simplify (sqrt(144)*-3)/(1*sqrt(108)).
-2*sqrt(3)
Simplify (4 + sqrt(171))**2 + -2.
24*sqrt(19) + 185
Simplify (sqrt(11) + sqrt(11) + 1 + -5 - (-2*sqrt(11) + -3))*5.
-5 + 20*sqrt(11)
Simplify (1*sqrt(1053)*4*2)**2.
67392
Simplify (1 + sqrt(176))**2*-3.
-531 - 24*sqrt(11)
Simplify (5 + sqrt(39)/sqrt(3) + 3 + 0 + sqrt(52))**2.
48*sqrt(13) + 181
Simplify ((3*-1*sqrt(119))/sqrt(7))**2.
153
Simplify ((sqrt(50) - sqrt(100)/sqrt(2))*-5)/((sqrt(30)*2 - sqrt(30))/sqrt(3)).
0
Simplify (2*sqrt(11)*4 + (sqrt(11) - (4 + sqrt(99))))**2.
-48*sqrt(11) + 412
Simplify (sqrt(960)*-1)/(sqrt(192)*1).
-sqrt(5)
Simplify -2*sqrt(1539)*-1 - (sqrt(1539)*-2 + 4).
-4 + 36*sqrt(19)
Simplify (-5*sqrt(114)/sqrt(6) - (sqrt(190)*-2)/sqrt(10))*5.
-15*sqrt(19)
Simplify (sqrt(847)*-1 - sqrt(847)) + -1 + -2.
-22*sqrt(7) - 3
Simplify (sqrt(24)/(sqrt(48)/(sqrt(24)/sqrt(4)) + sqrt(8)))**2.
3/4
Simplify (5*(sqrt(1088) + -1))**2.
-400*sqrt(17) + 27225
Simplify (sqrt(133)*2*6)/((sqrt(56)/sqrt(4))/sqrt(2)).
12*sqrt(19)
Simplify 5*sqrt(192)/(sqrt(60)/(sqrt(30)/sqrt(3))).
20*sqrt(2)
Simplify (1*sqrt(153)*-2)/sqrt(9).
-2*sqrt(17)
Simplify 2*(-2 + -1 + sqrt(
|
{
"pile_set_name": "DM Mathematics"
}
|
222.00093. What is r rounded to four dps?
0.0009
Let m = 47 - 12. Let r = m - 34.05. Let d = r - 0.950101. Round d to 5 decimal places.
-0.0001
Let z = -184 + 185.33. Let p = -2360648.7 - -2360647.3700067. Let k = p + z. What is k rounded to six dps?
0.000007
Let n = -10 - -8.1. Let h = 1.9051 + n. What is h rounded to 3 decimal places?
0.005
Let i = 717 - 717.2804. Let y = i - -0.27. What is y rounded to 3 decimal places?
-0.01
Let r be (-443992)/(-12) - 2/(-3). Round r to the nearest 10000.
40000
Let k = -65.7 - -41. Let n = k - -24.6893. What is n rounded to three decimal places?
-0.011
Let z = 21772622 - 21773568.3117. Let p = z - -946.7. Let q = p + -0.39. Round q to 3 dps.
-0.002
Let w be (-1 + 2)/(1/5). Let k be 6 - (-3)/((-6)/4). Suppose c - l + 1649996 = -4*c, 1649984 = -w*c + k*l. Round c to the nearest 100000.
-300000
Let b = -1.8074 - -1.79. What is b rounded to 2 dps?
-0.02
Let u = 2 - 3. Let i = -0.6 - u. Let f = i - 0.3998. Round f to three dps.
0
Let x = -18.9 - -18.9652. Round x to 2 dps.
0.07
Let c = -0.5 - 0.3. Let p = -2.2 + c. Let n = -2.99985 - p. What is n rounded to 4 dps?
0.0002
Let q = -15001918.5000027 - -15001916. Let x = 2.5 + q. Round x to 6 dps.
-0.000003
Suppose 422 - 1032 = s. Round s to the nearest 100.
-600
Let i = -0.49 - -28.49. Let r = -4631531094.00000033 + 4631531066. Let b = i + r. What is b rounded to seven decimal places?
-0.0000003
Let f = -110.4 - -100. Let c = f + 10.4057. What is c rounded to three dps?
0.006
Let v = -21.9 - -30. Let s = -7.2529 - 0.1771. Let u = v + s. Round u to one dp.
0.7
Suppose 0 = -2*q - 0*q + 72000. Round q to the nearest 1000.
36000
Let o = 6401 + -6403.709. Let v = o - -0.009. Let a = v + -0.1. Round a to zero dps.
-3
Suppose 0 = y - 6*y - 195. Round y to the nearest 10.
-40
Let y(a) = -225003*a - 18. Let p(b) = -75001*b - 8 + 0 + 2. Let s(z) = -11*p(z) + 4*y(z). Let h be s(-6). What is h rounded to the nearest one hundred thousand?
500000
Let b = -0.008600803 + -352.991250197. Let p = -19.7 - -372.7. Let v = p + b. What is v rounded to five dps?
0.00015
Let k = 2602391.9999944 + -2602393. Let x = -1 - k. Round x to 6 decimal places.
0.000006
Let z(o) = -o + 9. Let c be z(7). Suppose 0 = -c*h + 410530 + 1189470. What is h rounded to the nearest one hundred thousand?
800000
Let c be (-3)/(-6)*0 - -2. Suppose c*b + 6573 = 2*u + b, 5*b = -15. Suppose -v = -3*r - u, 4*v = -0*r + 4*r + 13180. Round v to the nearest 1000.
3000
Let m = 0.92921 + -0.93. What is m rounded to 4 decimal places?
-0.0008
Suppose 20620 = 6*q - 12380. What is q rounded to the nearest 1000?
6000
Let o = 41.81 - 41. Round o to 1 decimal place.
0.8
Let k = 9667.3 - 9670.700095. Let s = 3.4 + k. Round s to 5 decimal places.
-0.0001
Let z(i) = 1522223*i**2 - i - 10. Let y be z(-3). Round y to the nearest 1000000.
14000000
Let f = 1.9 + -1.9004. Round f to four dps.
-0.0004
Let f = 91072514.7 + -91112742.7047. Let h = f + 40209. Let w = -19 - h. What is w rounded to 3 decimal places?
0.005
Let n(u) be the third derivative of 0 + 4*u**2 + 7000/3*u**3 - 1/24*u**4 + 0*u. Let k be n(0). Round k to the nearest 10000.
10000
Let w = 6763.01 + -6679. Let d = w + -130.78. Let l = d - -47. What is l rounded to 1 decimal place?
0.2
Suppose -3*l = -3*v - 63600009, 2*v - 3*v = 5*l + 21199991. Let y be (-1)/4 + v/(-4). What is y rounded to the nearest one million?
5000000
Let k = -11060.7730034 - -11039.773. Let v = 25 - 46. Let c = v - k. What is c rounded to six dps?
0.000003
Let j(z) = 4500001*z + 1. Let l be j(-1). What is l rounded to the nearest one million?
-5000000
Let c = -729136 + 1556004. Let m = c + -826864.00061. Let r = 4 - m. What is r rounded to four decimal places?
0.0006
Let c = -185.49 + -4.51. Let l = -176.21 - c. Let i = l + -14. Round i to 1 decimal place.
-0.2
Suppose b = 2285 - 18363. Let f = -7178 - b. Round f to the nearest one thousand.
9000
Let n = 15.2 + -31.4. Let r = n + 14. Let f = r + 2.1999884. What is f rounded to six dps?
-0.000012
Let t = 395.9626 - 396. What is t rounded to three decimal places?
-0.037
Let i = -0.36 + 0.36094. Round i to 4 dps.
0.0009
Let j = 133571233.7 - 133571206.69999902. Let a = -27 + j. What is a rounded to seven dps?
0.000001
Let i = -338963.47384243 + 338963.5. Let q = -3.97384543 - i. Let v = -4 - q. Round v to 5 decimal places.
0
Suppose 58*q + 3820 = 56*q. Round q to the nearest one hundred.
-1900
Suppose -4*n + 0*n = 0. Let p(t) = -t**2 + 7300. Let z be p(n). Round z to the nearest 1000.
7000
Let s = -191.06 + 180. What is s rounded to zero dps?
-11
Let y = -54.3 + 50. Let x = y + 4.229. Round x to 2 dps.
-0.07
Let s = -1.32 + 0.02. Let h = s - -1.3037. Round h to three decimal places.
0.004
Let c(h) = -1268*h**3 - 3*h**2 + 2*h - 3. Let s be c(2). Let p = s + 15455. Round p to the nearest one thousand.
5000
Let v be 4/(-28) - 41299/7. Round v to the nearest 1000.
-6000
Let h = 0.13 - 0.129792. What is h rounded to 5 dps?
0.00021
Let h = -2004 + 984. Round h to the nearest 100.
-1000
Let p = 1.4 - 1.484. What is p rounded to 1 decimal place?
-0.1
Let h = -1020.000421 + 1020. What is h rounded to 5 decimal places?
-0.00042
Let u = -3.5 + 23.5. Let d = 20.019482527 - 0.019478027. Let l = d - u. What is l rounded to 6 decimal places?
0.000005
Let o = 0.05415873 + -0.10415991. Let k = o - -0.05. What is k rounded to 7 decimal places?
-0.0000012
Let m be -3 - -71223*((4 - 1) + -142). What is m rounded to the nearest 1000000?
-10000000
Let o = 1001.038 - 1002. Let g = o - -0.86. What is g rounded to two dps?
-0.1
Suppose -3 = k, -3*k + 4*k = 2*l - 9. Suppose 6 = -0*t + l*t. Suppose p - t*p = -630000. Round p to the nearest 100000.
600000
Let a = -0.35 + -3.25. Let w = -81421.5036 - -81417.90359971. Let h = w - a. What is h rounded to seven dps?
-0.0000003
Let b = -3.7 - -3.699089. Round b to four dps.
-0.0009
Let c = -6.56 - -7.8. Let b = c + -1.2479. Round b to three dps.
-0.008
Suppose f + 31650 = -3*k + 1350, -4*f = 3*k + 30300. What is k rounded to the nearest one thousand?
-10000
Let p be (-1 - -1) + -2 - 3. Let u(h) = -46*h**3 - h**2 + 6*h + 5. Let d be u(p). Round d to the nearest one thousand.
6000
Let n = -10.999992 - -11. Round n to 5 decimal places.
0.00001
Let i = 0.56 - 0.27. Let p = -0.290088 + i. Round p to five dps.
-0.00009
Let d be -2 + (-128)/2 + -3. What is d rounded to the nearest ten?
-70
Let l = 0 + 0.1. Let m = -0.3 + l. Let g = 0.2000004 + m. What is g rounded to six decimal places?
0
Let r = 1.5926 + -36.5566. Let v = r - 0.036. Let o = v - -35.0000039. Round o to 6 decimal places.
0.000004
Let r(g) = -195919*g**2 + 3*g + 10. Suppose -25 = -5*p - 2*o, -p + 4*o = 3*p - 48. Let f be r(p). Round f to the nearest one million.
-10000000
Let w = -10 + -11. Let l = w + 20.9983. What is l rounded to three decimal places?
-0.002
Suppose -3*c = 6, -212006 = -4*b + 5*c - 2*c. What is b rounded to the nearest ten thousand?
50000
Let j = -0.18 + 0.17999985. Round j to seven dps.
-0.0000002
Let b = 68 - 39. Let m = b - -1. Let g = -30.0129 + m. Round g to three dps.
-0.013
Let w = -54867.4545 + 55091.454633. Let q = -224 + w. What is q rounded to 5 dps?
0.00013
Let c = -0.063 - -0.09. Round c to 2 decimal places.
0.03
Let h = 0.01 + 0. Let f = -3.3 + 3.28996. Let g = h + f. Round g to 5 decimal places.
-0.00004
Let c = -9.6917 + 9.63. Let z = c + -252.9383. Let w = z - -253.00000119. What is w rounded to seven dps?
0.0000012
Let x = -17 + 17.00307. Round x to 4 dps.
0.0031
Let q = 169.8 - 34.7. Let y = q + -126. Round y to zero decimal places.
9
Let u be (4 + -4)/(2 - 1). Suppose 0 = -3*f - u*f + 2400. Suppose -t + f = -0*t. Round t to the nearest one hundred.
800
Let s = -1 + 0.8. Let p = s + 4.2. Let l = 4.000002 - p. What is l rounded to six decimal places?
0.000002
Let z = 5.9 + -84.9. Let g = -78.999953 - z. What is g rounded to 5 decimal places?
0.00005
Let l = -42 + 42.0000216. What is l rounded to six dps?
0.000022
Let w = 15.2 + 0.8. Let x = w - 15.9999978. Round x to 6 decimal places.
0.000002
Suppose -88 + 400 = 4*u. Let w = -47 + u. Round w to the nearest 10.
30
Let p = 14.57 + 1.15. Let f = p - 16. Round f to one dp.
-0.3
Let g(p) = 2*p - 1. Let c be g(2). Suppose c*y - 27600 = -0*y. Round y to the nearest 1000.
9000
Let p(u) = 934*
|
{
"pile_set_name": "DM Mathematics"
}
|
2/29))**(-50) assuming n is positive.
n**(350/29)
Simplify (t**(2/7))**(16/7)/((t**(-3/4)*t)/t**16) assuming t is positive.
t**(3215/196)
Simplify ((i/i**(2/21))/(i/i**18))**3 assuming i is positive.
i**(376/7)
Simplify (z**26/z**(-9))/(z**(11/5)/(z**(-29)/z)) assuming z is positive.
z**(14/5)
Simplify (t**3)**2*t**(-4)*t/(t/t**9) assuming t is positive.
t**11
Simplify ((r/r**10)/(r**(-13/3)/r))/(r*r**(-13/6))**(3/2) assuming r is positive.
r**(-23/12)
Simplify (l**(-3/8)/l*l/(l*l**(-4/7))*l)/((l/(l**(-7/6)/l))/l*(l*l*l**(-1/13)*l)/l*l*l) assuming l is positive.
l**(-12871/2184)
Simplify y**13/(y/(y*y*y/(y/(y/(y/(y*y**(-15))*y*y*y)))*y))*((y*y*y**14)/y)**10 assuming y is positive.
y**148
Simplify (((i**(-10)/i)/i**(-10))**(7/3))**(-29) assuming i is positive.
i**(203/3)
Simplify (l*l**(-1)/l*(l/(((l/(l*l/(l/(l**(4/5)*l))))/l)/l))/l)/((l*l*l**(-2/3))/l*l**(1/8)) assuming l is positive.
l**(281/120)
Simplify b/(b/((b*b/(b/(b**(-18)*b))*b)/b))*b/b**(6/5)*(b**(-9))**(-38/7) assuming b is positive.
b**(1143/35)
Simplify (g**1)**(-3/23)/((g*g*g**3)/g*g/((g**(-2/5)*g)/g)) assuming g is positive.
g**(-636/115)
Simplify (((s*s**(-28))/s)/s**19)/((s/s**(9/5))/s**(1/3)) assuming s is positive.
s**(-688/15)
Simplify ((g*g**(4/9)*g)/g**(2/15))/(g*g/(g/(g**4*g))*g)**(-7/8) assuming g is positive.
g**(3037/360)
Simplify ((d/d**(-1/2))/d*(d/(d/((d/(d/(d/(d/d**19)*d)))/d*d))*d)/d*d*d)/((d*d**(4/23))/(d*((d/(d*d*d**(5/4)*d*d*d*d*d))/d)/d)) assuming d is positive.
d**(1203/92)
Simplify (((y**2)**(1/33))**(14/11))**11 assuming y is positive.
y**(28/33)
Simplify ((u**(2/15)/(u/(u/(u**(5/3)*u))*u))/(u*u*u**6*u*u*u**(-8)))**(-5) assuming u is positive.
u**(83/3)
Simplify (b/b**(-2/5))**46*((b**(-1)/b)/b)**(-43) assuming b is positive.
b**(967/5)
Simplify ((z*z/z**(1/5))/z*z*z*z**(-16))**(1/53) assuming z is positive.
z**(-66/265)
Simplify k**(1/15)/k**27*(k/k**(-7))/((k*k**(-17))/k) assuming k is positive.
k**(-29/15)
Simplify ((d/(((d**(-1/10)/d)/d)/d))**15)**(-3/43) assuming d is positive.
d**(-369/86)
Simplify c**(-1/3)*c*(c/((c**(-5/9)*c*c)/c))/c*c*(c*c**(1/5))/c*c**(-17) assuming c is positive.
c**(-701/45)
Simplify ((i**(-25)/i*i)/i**(-5/2))**(-22) assuming i is positive.
i**495
Simplify h**(-13)*((h*h**13*h)/h)/h*(h/h**2)/(h**(5/3)/h) assuming h is positive.
h**(-5/3)
Simplify (z**(-5/3)/z**(-2/59))/((z/(z/(((z**(-3)/z)/z)/z)))/z*z)**(2/11) assuming z is positive.
z**(-1055/1947)
Simplify (f*f*f**(-2/7)/f*f*f*f)**49/(f/f**(-1/13)*((f/f**(2/17))/f)/f) assuming f is positive.
f**(40231/221)
Simplify (w**(1/11))**(-11/5)*w/w**(-3)*((w**(-3/20)/w)/w)/w*w assuming w is positive.
w**(33/20)
Simplify (((g*g**14)/g)/(g*(g/g**27)/g))/((g/g**(-23))/(g*g**(-35)*g*g)) assuming g is positive.
g**(-16)
Simplify (f**(2/3))**(-26)*(f**(1/2)/f*f)/(f/((f/(f*f**18))/f*f)) assuming f is positive.
f**(-215/6)
Simplify ((o**6/o)/o**14)/((o/((o*o/(o**(-1/20)*o)*o)/o))/(o/((o/(o/o**(-9)*o))/o))) assuming o is positive.
o**(61/20)
Simplify ((c*c**(-3/4)*c/c**(-5/3)*c)/(c/(c*c*c/((c*c*c**(1/3)*c)/c)*c))**(-5/2))**(-3/17) assuming c is positive.
c**(-27/68)
Simplify ((l**(-2)/l)/l)/l**(-8/9)*l**18*l/l**10*l assuming l is positive.
l**(62/9)
Simplify (o/o**(16/5)*o*o*(o*o*o*o/(o/(o*o**(-3/10)*o))*o*o*o*o)/o)**(1/9) assuming o is positive.
o**(5/6)
Simplify (i/i**(1/29))**7*i**(-1/22)/((i/i**8)/i) assuming i is positive.
i**(9387/638)
Simplify ((((j/j**(8/3))/j)/j)/j**(9/2))/((j/(j*j*((j*j**(4/3)*j*j)/j)/j))/j)**(-46) assuming j is positive.
j**(-415/2)
Simplify ((i**(-9/4)*i*i)/(i/i**(-1)))/(i**12*i**11) assuming i is positive.
i**(-101/4)
Simplify (((l/(l/(l*l/l**5)))/l*l**(2/7))/(l**(2/3)*l*l**7))**(-34) assuming l is positive.
l**(8840/21)
Simplify h/h**(1/9)*h**13*(h*h**(-1))**(3/19) assuming h is positive.
h**(125/9)
Simplify (f**(2/7)*f/f**(-12))/(f**(2/3))**(-1/8) assuming f is positive.
f**(1123/84)
Simplify ((q**2*q)**(3/7)/(q*q*q*q**9/q*q**(-2/5)))**(2/5) assuming q is positive.
q**(-652/175)
Simplify (g**(-5/4)*g*(g*g*g/(g/(g/(g*g**(-2/41)))))/g*g)/((g*(g/g**(-6))/g)/g)**(-11/3) assuming g is positive.
g**(3903/164)
Simplify q*q**(3/4)*q**(-2/45)*q**25/((q/(q*q**(-11/7)))/q*q) assuming q is positive.
q**(31669/1260)
Simplify (n**(5/9)/(n*(n/(n/(n**13*n)))/n*n))/(n**(-13)*n**(2/5)) assuming n is positive.
n**(-83/45)
Simplify (p*p**1*p**(-2/7))/((((p/p**(2/17))/p)/p)/p*p*p**(-7)*p) assuming p is positive.
p**(1051/119)
Simplify f/(f*f**(-1/6))*f**(5/6)*f**(-13)*f**(1/7) assuming f is positive.
f**(-83/7)
Simplify (d**(-3))**41*d**(-4/3)/d**(-9/7) assuming d is positive.
d**(-2584/21)
Simplify b*b**(-3)*b*b*b/(b/(b**(-1/6)/b*b))*b*b*(b*b**(1/3))**(-11) assuming b is positive.
b**(-77/6)
Simplify ((x/(x**13*x))/x)**32*(x*x**(2/3))**(-38) assuming x is positive.
x**(-1534/3)
Simplify (s**4/(s*s/(s**34*s)))**31 assuming s is positive.
s**1147
Simplify (o*o**(1/5)*o)**(-2/23)/(o/(o**(3/5)/o*o)*o**(-11)) assuming o is positive.
o**(1197/115)
Simplify ((m**28*m)/(m/(m/(m*(m**(-13/2)/m)/m))))**20 assuming m is positive.
m**730
Simplify (u*u**(-1/23))/u*u/((u/u**36*u)/u)*(u/(u*(u/u**(-21/4))/u*u))/u**21 assuming u is positive.
u**(801/92)
Simplify (v**(-2)/((v*v**(-15/2)*v)/v))**0 assuming v is positive.
1
Simplify (x*x**(2/9)/x)**(2/31)*x**(3/7)*x**(1/12) assuming x is positive.
x**(4111/7812)
Simplify (b*b**(-2/17)*b**(3/2)*b)/(((b*(b*b**1)/b*b)/b)/b**(-10)) assuming b is positive.
b**(-293/34)
Simplify ((n/(n/n**(1/17)))**(-18))**(-2/71) assuming n is positive.
n**(36/1207)
Simplify ((r*r**13*r)/r*r)/(r*r/(r/r**(5/7)*r*r)*r)*(r**0)**(-21) assuming r is positive.
r**(100/7)
Simplify (j/((j*j**(2/17)/j)/j)*j**(-1/5)*(j/(j**1/j))**(-13))**(-1/71) assuming j is positive.
j**(962/6035)
Simplify (c**(3/11)*c*c**(-8/7))/(c**9*c**(-5/2)/c) assuming c is positive.
c**(-827/154)
Simplify (f*f*f*f*f**7/f*f*f*f*f**(2/15))/(f**(-3/16)*f/f**0) assuming f is positive.
f**(2957/240)
Simplify ((j*(j/j**(2/5))/j)/j**(-6))/(j**14*j*(j**(-1/5)*j*j)/j) assuming j is positive.
j**(-46/5)
Simplify b**(9/2)*b/((b/(b*b*b/(((b*b/(b**(-2/11)/b))/b)/b))*b)/b)*(b/(b/(b**13*b)))/b**18 assuming b is positive.
b**(51/22)
Simplify (((d**(-10)*d)/d**(-3))/(d/(d/(d/d**(-8)))*(d/((d/(d*(d/d**(-2/25)*d)/d*d))/d))/d))**(-13) assuming d is positive.
d**(5876/25)
Simplify (i**2/(i*((i/(i*i**(-2)/i))/i)/i*i))/(i**(-1/3)*i/(i/(i/i**0))) assuming i is positive.
i**(-5/3)
Simplify (u**(-1/5)/u*u)/u**6*u*u**(-11)/u*u**(-6/11)/u assuming u is positive.
u**(-1031/55)
Simplify r**(8/9)/(r**(1/2)*r*r)*(r**(-3/5))**13 assuming r is positive.
r**(-847/90)
Simplify (o*o/((o**4*o)/o)*o*o**(-2/15)*(o*o**(-3)/o)/o**3)**(-1/25) assuming o is positive.
o**(107/375)
Simplify (c**(3/5))**37/((c**(8/9)*c)/c**1) assuming c is positive.
c**(959/45)
Simplify (j*j*j/(j*j**(11/5))*j*j**(-16))/(j**4/(j**(-4/11)*j)) assuming j is positive.
j**(-1021/55)
Simplify ((p**(-13)*p)/p)/((p*p/(p*p*p**(-7))*p)/p)*p**(-4)*p**(4/7) assuming p is positive.
p**(-164/7)
Simplify (d**(-17)/(d/d**(-1/16)))/(d**(-18)*(((d**10/d)/d)/d)/d) assuming d is positive.
d**(-97/16)
Simplify ((x*x/((x*x**(-2/5))/x*x))**(-18/5)*(x**(2/5))**(-4/17))**(-10) assuming x is positive.
x**(4364/85)
Simplify ((r**5*r**2)/(r/(r/(r*r**(4/3)))*r*r**(-6)))**4 assuming r is positive.
r**(116/3)
Simplify (j/j**27)**(6/7)/((j/j**15*j)/((j**(-3/40)*j)/j)) assuming j is positive.
j**(-2621/280)
Simplify (p**(-4/9)*p)**(36/5)*p*p*p/(p*(p/p**(-2/3))/p)*p*p*p**(-30) assuming p is positive.
p**(-68/3)
Simplify (s**(-1/2)*s*s*s**(2/49))**(-33) assuming s is positive.
s**(-4983/98)
Simplify ((j*(j*j*j/j**(-2/17))/j*j)/j*j*j**(-8)/j)/(((j**(-1/5)*j)/j)/j**(-7/3)) assuming j is positive.
j**(-1789/255)
Simplify v**(-12)/(v/((v**(-3/14)*v)/v*v))*(v**(-18)*v)/v**(-12/7) assuming v is positive.
v**(-55/2)
Simplify ((y**(1/7)/y**(1/5))**(-13/4))**(-23) assuming y is positive.
y**(-299/70)
Simplify (n**(2/19)*n/n**7*n**(-4)/(n/n**(-2/7)))**20 assuming n is positive.
n**(-29740/133)
Simplify ((d**(2/19)/d**(-7/5))/((d*d/(d*d**(-2)/d))/d*d)**(5/12))**(-3/14) assuming d is positive.
d**(23/665)
Simplify (b**(4/5))**(23/4)/(b**(-1/32)/(b**(-1)/b)) assuming b is positive.
b**(421/160)
Simplify (d**(2/9))**28*d**7*d*d*d**12 assuming d is positive.
d**(245/9)
Simplify (p**(1/4)*p**0*p/p**(-3/5)*p*p**9*p)**(
|
{
"pile_set_name": "DM Mathematics"
}
|
without replacement from {g: 5, r: 1, n: 3, q: 6, b: 2, j: 2}.
10/323
Calculate prob of picking 2 q and 1 o when three letters picked without replacement from {q: 2, z: 1, o: 1}.
1/4
Four letters picked without replacement from ppjjjjjjjppjjpjj. What is prob of picking 1 p and 3 j?
165/364
What is prob of picking 1 l and 1 o when two letters picked without replacement from {h: 4, q: 1, b: 1, l: 1, o: 1}?
1/28
Four letters picked without replacement from {t: 4, a: 8, y: 8}. Give prob of picking 4 a.
14/969
Three letters picked without replacement from {b: 4, y: 2, p: 1}. Give prob of picking 1 b and 2 y.
4/35
Four letters picked without replacement from {h: 4, a: 7}. What is prob of picking 2 a and 2 h?
21/55
Two letters picked without replacement from icczklkccczkczczccc. Give prob of picking 1 i and 1 l.
1/171
Calculate prob of picking 3 m when three letters picked without replacement from {s: 9, m: 3}.
1/220
Calculate prob of picking 3 u when three letters picked without replacement from {x: 3, u: 4}.
4/35
What is prob of picking 1 f and 1 o when two letters picked without replacement from {i: 1, f: 3, o: 3}?
3/7
Two letters picked without replacement from lslsssslss. Give prob of picking 1 s and 1 l.
7/15
What is prob of picking 1 n and 1 w when two letters picked without replacement from nnncnddnnwddcnnnnz?
10/153
What is prob of picking 1 g and 1 t when two letters picked without replacement from {l: 1, n: 2, t: 1, g: 5, b: 1, i: 3}?
5/78
Two letters picked without replacement from mmmmmmmkkm. Give prob of picking 2 k.
1/45
Calculate prob of picking 1 q and 1 x when two letters picked without replacement from {x: 1, f: 1, q: 1, g: 1, b: 1}.
1/10
Two letters picked without replacement from {m: 2, u: 1, w: 1, q: 1}. Give prob of picking 1 u and 1 m.
1/5
Three letters picked without replacement from aggtgtigagttttiigaa. What is prob of picking 1 i, 1 g, and 1 a?
24/323
Three letters picked without replacement from {v: 4, n: 8, m: 8}. Give prob of picking 2 v and 1 n.
4/95
Three letters picked without replacement from {v: 3, b: 12, r: 2}. Give prob of picking 2 r and 1 b.
3/170
Two letters picked without replacement from {u: 11, b: 2}. Give prob of picking 2 b.
1/78
Calculate prob of picking 1 s, 1 h, and 1 g when three letters picked without replacement from {h: 2, t: 4, v: 1, s: 3, m: 1, g: 1}.
3/110
What is prob of picking 3 x when three letters picked without replacement from xxhhxhh?
1/35
Two letters picked without replacement from {f: 1, z: 1, i: 1, e: 1, q: 2, s: 1}. Give prob of picking 1 e and 1 z.
1/21
Two letters picked without replacement from {f: 7, x: 3, l: 2}. What is prob of picking 2 f?
7/22
What is prob of picking 1 v and 1 n when two letters picked without replacement from {v: 2, a: 2, n: 1, i: 2, r: 1}?
1/14
Three letters picked without replacement from {g: 1, z: 1, c: 2, d: 2}. Give prob of picking 1 g and 2 d.
1/20
Four letters picked without replacement from cqcccqqcqc. Give prob of picking 4 c.
1/14
Three letters picked without replacement from mglgmmgggggmmgsggslm. Give prob of picking 2 g and 1 l.
3/38
Four letters picked without replacement from savvtsvkktvsasta. What is prob of picking 1 v, 1 a, and 2 k?
3/455
Two letters picked without replacement from oiwkwo. Give prob of picking 1 i and 1 o.
2/15
Three letters picked without replacement from {f: 1, s: 7, l: 1, o: 8}. Give prob of picking 1 f and 2 s.
21/680
Calculate prob of picking 1 e and 1 h when two letters picked without replacement from hhhhhhehe.
7/18
Two letters picked without replacement from {z: 1, q: 1, j: 2, c: 1, p: 1, t: 1}. Give prob of picking 1 q and 1 z.
1/21
Four letters picked without replacement from xxgggg. Give prob of picking 2 x and 2 g.
2/5
Calculate prob of picking 2 z when two letters picked without replacement from hhzzzzzhhzzhzhhhhhz.
4/19
Calculate prob of picking 3 m and 1 q when four letters picked without replacement from {m: 9, y: 2, q: 7}.
49/255
Two letters picked without replacement from {h: 1, w: 2, o: 2, e: 1}. What is prob of picking 1 e and 1 o?
2/15
Four letters picked without replacement from {q: 2, p: 7, x: 3, i: 2, u: 1, w: 5}. What is prob of picking 2 w and 2 x?
2/323
Four letters picked without replacement from {c: 1, s: 1, y: 8, a: 6, w: 1}. What is prob of picking 1 s, 1 a, 1 c, and 1 y?
12/595
Calculate prob of picking 1 m and 1 f when two letters picked without replacement from fkfffmmc.
2/7
Two letters picked without replacement from {k: 4, d: 10, t: 5}. Give prob of picking 2 t.
10/171
Two letters picked without replacement from {c: 1, e: 1, p: 1, j: 1, i: 4}. What is prob of picking 1 p and 1 e?
1/28
Four letters picked without replacement from vzuuzuzvzuzz. What is prob of picking 1 u, 1 z, and 2 v?
8/165
Two letters picked without replacement from {m: 1, n: 12, w: 5}. Give prob of picking 1 w and 1 m.
5/153
Three letters picked without replacement from ookokko. What is prob of picking 2 k and 1 o?
12/35
Three letters picked without replacement from {i: 4, u: 4, h: 1, w: 1}. Give prob of picking 1 i, 1 h, and 1 u.
2/15
Four letters picked without replacement from vlvvvvvv. What is prob of picking 4 v?
1/2
Four letters picked without replacement from {a: 5, b: 4, c: 1, r: 1}. Give prob of picking 2 a, 1 c, and 1 r.
1/33
Two letters picked without replacement from pjpwwwaawzaw. Give prob of picking 2 a.
1/22
Calculate prob of picking 2 w when two letters picked without replacement from {w: 7}.
1
Two letters picked without replacement from {j: 12, a: 6}. Give prob of picking 1 j and 1 a.
8/17
Calculate prob of picking 2 d and 1 w when three letters picked without replacement from {d: 2, w: 13, a: 5}.
13/1140
Calculate prob of picking 2 b, 1 d, and 1 g when four letters picked without replacement from dbbddgdbddggg.
72/715
Three letters picked without replacement from cqccccusqcqwqquqcq. Give prob of picking 1 s, 1 w, and 1 u.
1/408
Calculate prob of picking 1 a and 1 i when two letters picked without replacement from {i: 4, a: 6}.
8/15
Four letters picked without replacement from wttttttt. Give prob of picking 1 w and 3 t.
1/2
Three letters picked without replacement from nenoniin. What is prob of picking 3 n?
1/14
Calculate prob of picking 1 h and 2 n when three letters picked without replacement from {n: 4, h: 6}.
3/10
Three letters picked without replacement from fslhaul. Give prob of picking 1 f, 1 h, and 1 u.
1/35
Two letters picked without replacement from vooov. Give prob of picking 1 o and 1 v.
3/5
Two letters picked without replacement from rqlopqlqlrwrw. What is prob of picking 1 q and 1 p?
1/26
Calculate prob of picking 1 r, 2 d, and 1 z when four letters picked without replacement from tfrrtzaatdatradzttd.
3/646
What is prob of picking 2 x when two letters picked without replacement from cxcppxxcc?
1/12
Calculate prob of picking 1 o, 1 s, 1 p, and 1 x when four letters picked without replacement from psdxoxf.
2/35
Calculate prob of picking 1 d and 1 o when two letters picked without replacement from {d: 1, b: 1, n: 1, r: 2, o: 2, m: 2}.
1/18
Calculate prob of picking 2 m, 1 j, and 1 a when four letters picked without replacement from {a: 2, h: 2, l: 2, k: 3, m: 5, j: 2}.
2/91
What is prob of picking 1 t, 1 n, and 2 s when four letters picked without replacement from {t: 4, z: 4, n: 1, m: 2, p: 3, s: 3}?
3/595
Two letters picked without replacement from {y: 8, g: 5, r: 2}. What is prob of picking 2 y?
4/15
Two letters picked without replacement from nnnnnnhnnnnhnh. What is prob of picking 2 h?
3/91
Two letters picked without replacement from {o: 3, t: 1, z: 1}. What is prob of picking 1 z and 1 t?
1/10
Four letters picked without replacement from gggggggggggggvvgvgvg. What is prob of picking 2 g and 2 v?
48/323
Two letters picked without replacement from {s: 5, k: 7}. Give prob of picking 1 k and 1 s.
35/66
Three letters picked without replacement from aaaaaasa. What is prob of picking 3 a?
5/8
Four letters picked without replacement from svsscavvvcccssccss. What is prob of picking 2 s, 1 a, and 1 c?
7/170
What is prob of picking 2 q when two letters picked without replacement from iliiliqiqqq?
6/55
Calculate prob of picking 1 k and 1 d when two letters picked without replacement from kdqbdkk
|
{
"pile_set_name": "DM Mathematics"
}
|
lculate (-2*100/75)/((-8)/(-72)).
-24
Evaluate (2 - 258/15)*(-7090)/(-2836).
-38
What is the value of (1/(-3))/((-3627)/(-10530) - (-4)/(-10))?
6
What is the value of (-518 + 516)*(-1 - -8)?
-14
What is -3 - ((-15)/(-10) + (-57)/10)?
6/5
((-175)/(-20) - 639/(-284)) + 15
26
What is the value of (3 - -1)*(-2 - -17)/(-60)?
-1
Evaluate (-26)/4*-22*64/22880.
2/5
(-336)/(-165) - (469 + -471)*2/(-10)
18/11
What is the value of (18/(-40))/((-237)/(-632))?
-6/5
(2/14 - (-1248)/(-112)) + 0
-11
Evaluate (1/9)/(2/8)*2403/3204.
1/3
Evaluate 21/(-7) - 32/(16 + -8).
-7
Evaluate 7/3*(-1548)/(-3612).
1
(48/(-9))/((3/(-4))/((-225)/100))
-16
Evaluate (-144)/(-336) + 8/14.
1
What is the value of -1 + -2 + 52/(6 + 7)?
1
Calculate (-2)/8*5*984/82.
-15
(-27)/(-14)*119/(-102)
-9/4
What is the value of (9/5 + -1)/(41/(23 + 387))?
8
4/(-6)*6*(-308)/(-176)
-7
What is the value of 28 + -37 + (-2)/2 + 23?
13
Evaluate ((-9)/4 - -2) + (-48)/(7872/(-533)).
3
What is the value of (-8)/28 + ((-85)/35 - (-4)/(-14))?
-3
Calculate (-6)/(7 - -5)*((-66)/26 + 3).
-3/13
What is (-33)/396 + 314/24?
13
Calculate (-22)/4*(-15 + (-6 - -17))/2.
11
(-1 - 0) + 12 - (41 - 55)
25
What is 1 + (2 - (-104)/(-14)) - (22 - 26)?
-3/7
What is the value of (324/8)/(-27) + (-528)/(-160)?
9/5
Calculate (-39 - 4 - -18)*1.
-25
Evaluate (-30)/140*8/(-78).
2/91
(-4)/14 + 551/532 - 6/(-24)
1
What is the value of (1/52)/(20/70*(-28)/(-128))?
4/13
What is the value of (18 + 5520/(-420))/(2/(-14))?
-34
2/(-21)*(-747)/(-166)
-3/7
Evaluate (-1)/((-41)/246)*(-2)/42.
-2/7
What is the value of (((-539)/1617)/((-1)/9))/33?
1/11
Evaluate (-21 - -20)*(-4)/94.
2/47
What is the value of 1/(-2)*(-10)/10?
1/2
3/((-54)/256) + 478/2151
-14
What is the value of 9 + (-3 - 4) + (-9)/3?
-1
What is 5/(-2)*(-51)/(-1020)?
-1/8
Calculate (209/22 - 6)/(6/24).
14
What is (-980)/(-108) + (-458)/6183?
9
Calculate 3/(-27) + -2*(6 - (-148)/(-72)).
-8
What is (-2)/(-4) - 130*(-12)/(-240)?
-6
What is the value of (-9)/(-4)*(-704)/(-3432)?
6/13
Calculate ((-22)/(-2))/(280/14 + -21).
-11
-17 - (4 - (-8 + 24))
-5
What is (-7)/6 + 1 + 181026/(-12204)?
-15
Evaluate (-6 - (-93)/15)*(-14)/(1 + -8).
2/5
What is -1*1*(-14 - -16)*80/2800?
-2/35
Calculate -423 - -391 - (-968)/30.
4/15
What is the value of 1/((-2)/5)*(294/30 - 9)?
-2
Calculate (-289)/(-34) - 3*(-21)/(-7).
-1/2
Calculate -3*(105/70)/(9/(-26)*-2).
-13/2
Calculate (23 + 1328/(-48))/(6/(-36)).
28
Evaluate ((-216)/3159*-13)/(10/(-45)).
-4
Calculate -11 + (14 - (1 - 1)) - 19.
-16
What is ((-12)/(-25))/((-21)/(-1400))?
32
What is the value of 30*48/4320*((-54)/(-291))/(-3)?
-2/97
4064/(-720) + 7 - ((-189)/45 + 5)
5/9
What is 918/(-1782) + 1/3 - 12/(-429)?
-2/13
What is the value of 43 + -7 + (-3 - 11)?
22
492/(-533) + 1305/(-65)
-21
Calculate -5 + (-150)/15 + 1.
-14
Evaluate 1179/(-51) + 1*(-16)/(-136).
-23
What is the value of -8 + 198/27 - (-4 + (-580)/(-165))?
-2/11
What is the value of 1540/(-9911) + (-168)/(-4452)?
-2/17
Calculate 5/((9/21)/((-15)/(-25))).
7
Evaluate 1/(12/18*31/(-62)).
-3
Evaluate (8/6)/((40/75)/(-2)).
-5
Calculate (-15 - 1370/(-50)) + -14.
-8/5
What is (-22 - (-28 + 1)) + 3?
8
Evaluate (-31 + 27)*27/4.
-27
Calculate 160/(-8) + -1 + (-24)/(-12).
-19
What is the value of ((-1588)/(-2382))/(1/(-27))?
-18
(12/3)/((3 - 4)*-14)
2/7
What is the value of (-1 - -11)*(-46 + (-59237)/(-1295))?
-18/7
Evaluate 4862/495 - 2/9 - (-40)/100.
10
What is the value of 7192/(-28014) + (0 - -1)*(-2)/(-7)?
2/69
Evaluate (-272)/224 + (-1)/(-2).
-5/7
What is (-4)/(4/(-5))*(30058/(-7505) + 4)?
-2/79
What is the value of 15/72*(-4144)/(-6475)?
2/15
Evaluate 66/55*(-455)/26.
-21
What is the value of (16 + 102/(-8))*-4?
-13
Calculate 100/16 + (-26)/8.
3
Evaluate ((-30)/40*4)/(6/16).
-8
232/(-26) + -5 + 3 + 11
1/13
((-34)/51 + 25/(-3))*-1
9
(-204)/336 + 4/(96/18)
1/7
What is the value of (109 - 137)*2/(-7)?
8
What is (-14 - -2 - -14) + -12?
-10
What is (-11)/(-825)*5 - 52/(-390)?
1/5
Evaluate (-1 + -5)/(26 + (-693)/27).
-18
What is the value of (126/(-35) - -4) + (-1008)/(-105)?
10
What is the value of (-154)/(-1274) + 9/(-21)?
-4/13
Calculate (72/(-108))/((-1)/9*1248/(-32)).
-2/13
Evaluate (-2)/(-4)*(-3)/((-210)/(-96) + -2).
-8
What is (-152)/(-266) + (37/7 - (-30)/(-6))?
6/7
Calculate (-8)/96*(2 - 221/(-17)).
-5/4
Evaluate (-4 - (-9 + 8)) + ((-6)/3 - 0).
-5
Calculate (944/912 + (-2 - -1))/((-50)/(-150)).
2/19
Evaluate (-4)/(-14) - ((-1)/3)/((-917)/86067).
-31
What is (-57)/38*(-14)/(-273)?
-1/13
What is (-1)/(630/40 + -15)?
-4/3
8/6*1071/3808
3/8
What is the value of ((-638)/165)/(-29)*(-5)/(-17)?
2/51
What is (-106)/(-53) + (108/(-40) - 1/(-2))?
-1/5
Calculate ((-2)/(-15) - (-3021)/(-3420))/((-2)/(-8)).
-3
Calculate 35*(-8)/(-224) + (3 - 1)/(-2).
1/4
Evaluate (-388)/485*(-20)/32*(-88)/2.
-22
What is (47/(23 + -164))/(14/3)?
-1/14
(51/(-34))/(18/(-156))
13
Calculate 2/(-12)*7104/666.
-16/9
Evaluate (-1)/(-4) + (-798)/(-1368).
5/6
Calculate (136/44 + -13 + 10)*(-8)/(-2).
4/11
What is (-42)/(-2) - (2 - (-145)/(-29))?
24
What is the value of 6*(-28)/42 - (4/(-2) + -7)?
5
Evaluate (-32819)/(-46124) + 1/(-4).
6/13
Calculate (4/30)/((-13)/10 + (-54)/(-108)).
-1/6
Calculate 12/(-3)*-3*21/1134.
2/9
What is the value of (-20)/6*(-4 - -3*(-55)/(-30))?
-5
What is -13 + 6 + 12 - 19?
-14
Evaluate 95/228 + (-32)/12 + 3.
3/4
Calculate (-1934)/1096 + 1116/76446.
-7/4
0 - (341/62 + (-10)/2 - -1)
-3/2
Calculate 40/(-60)*(-33)/(-154).
-1/7
Evaluate ((-8)/(-6) + -16 + 13)/((-5)/18).
6
What is the value of (2*1)/((-3220)/(-85) - 38)?
-17
Calculate (32 + -42)/((-3)/(-6)).
-20
-26 - (18/(-72)*0)/5
-26
Evaluate 1674/(-11160) + 122/(-120).
-7/6
What is the value of (18/(-7))/(230/(-322))?
18/5
Calculate 18/(-33)*30/(2040/(-374)).
3
Calculate (-58)/22*3 - 12948/11869.
-9
((-4)/5 - (-1764)/2430)*3
-2/9
What is -10 - 63/(-9) - (1 - -7)?
-11
Evaluate (-3 - (-3 - -8)) + (13 - (-45)/(-9)).
0
((-27)/(-15))/((-4)/20)
-9
Calculate (-72)/12 + (-1395)/(-225).
1/5
(-22 + 7)*28/(-84)
5
Calculate (-7)/3*(-616)/(-10780).
-2/15
Evaluate -10*16/120 + ((-4960)/(-24))/(-10).
-22
What is the value of 2718 + -2710 - (-2)/((-28)/110)?
1/7
What is 26 - 20 - (-19)/(76/(-60))?
-9
What is the value of (45/(-570))/(6/4)?
-1/19
What is the value of -44*((-27)/36 + 1)?
-11
Calculate (-36 - 2712/(-72))*66/5.
22
What is the value of -12 + (-22957)/(-1848)*1 - 6/16?
1/21
Evaluate (-1920)/150*(-45)/36.
16
Evaluate (-31569)/1581 + (-1)/31.
-20
What is the value of 21/(-6)*12/((-60)/10)?
7
What is the value of 145/210*6 - 4?
1/7
What is (720/(-180))/(4*(-1)/(-10))?
-10
Evaluate (((-40)/(-28))/5)/((-2)/6).
-6/7
What is the value of -8 - 0 - -15 - 8?
-1
What is the value of 3/(-87)*(-10)/5?
2/29
What is 12 - (-4 + 16 + 3)?
-3
Evaluate ((-60)/40)/(1 - 4)*5/30.
1/12
What is the value of 28/3*(-30)/20?
-14
Calculate 36/(-216) - 10/(-15).
1/2
What is the value of 47/(45214/6919) - 12/(-39)?
15/2
(-79)/3 + (-910)/546
-28
What is the value of 5/(-7 - 5/30*-40)?
-15
2014/114 + 406/(-87)
13
Calculate 20/(-2) + (-10 - (18 - 37)).
-1
Evaluate (-336436)/27920 + -1*(-11 + -1).
-1/20
((-1)/(-15)*(-3)/2)/(337/674)
-1/5
What is the value of (-11 - (-4 + -21)) + (-70)/7?
4
((-12)/50)/((-5517)/(-6130))
-4/15
Calculate (10/4)/((-480)/(-128))*(-54)/4.
-9
(-1 - (-28)/6)/((-67 - -109) + -40)
11/6
What is (208/((-65)/5))/1?
-16
((-342)/(-36) - 11)/((-2)/((-14)/(-3)))
7/2
What is 33/(-88) + 107/8?
13
Evaluate 5/((-40)/(-6)) - (-24)/(-24).
-1/4
What is the value of (5/30)/((-5)/(-60)*6)?
1/3
What is (-286)/10 + 92/1610*-7?
-29
What is 1 + -6 + ((-58)/14)/(92/(-644))?
24
Evaluate (-4)/(-14) + 7 + 64*(-15)/126.
-1/3
What is the value of (101/((-7272)/48))/(2*4/(-3))?
1/4
What is (45/(-225))/(1/8)?
-8/5
Calculate (-98 - (-41 + -38)) + 1 + -2.
-20
What is the value of (6231/(-496) + 12)*(3 - (-26)/(-6))?
3/4
What is -14 + ((-13)/130*0)/2?
-14
What is (4/28)/(120/(-70))?
-1/12
Calculate (1*-2)/(10*2/30).
-3
Evaluate (-35)/1 - 0 - (607 + -615).
-27
What is (-666)/(-144) + ((-825)/88)/(-25)?
5
Calculate (65/208*8 - 5)*26/(-5).
13
What is the value of (((-3584)/24)/28)/(8/12)?
-8
What is the value of 2 + 960/(-24)*(-4)/10?
18
Evaluate (-2)/(-12) - 2560/1536.
-3/2
Evaluate (1182/15169)/((-3)/7).
-2/11
Calculate (3 - (5 - 3))*(-50)/125.
-2/5
What is 0 + 7 - 451/66?
1/6
Calculate ((-2
|
{
"pile_set_name": "DM Mathematics"
}
|
are there in thirty-seven halves of a litre?
18500
How many millimeters are there in 523388.2 meters?
523388200
Convert 2521.276l to millilitres.
2521276
How many milliseconds are there in 57/5 of a second?
11400
What is 9/10 of a millimeter in micrometers?
900
How many millilitres are there in three tenths of a litre?
300
How many litres are there in 92344.12 millilitres?
92.34412
Convert 656127.5kg to milligrams.
656127500000
Convert 71.68073 tonnes to grams.
71680730
What is 7/2 of a hour in seconds?
12600
How many microseconds are there in 9439.916ms?
9439916
Convert 691.3194 decades to centuries.
69.13194
How many minutes are there in seventeen sevenths of a week?
24480
Convert 1.915464l to millilitres.
1915.464
What is 50001.98 kilograms in grams?
50001980
How many seconds are there in 65/3 of a minute?
1300
Convert 575.2029 millilitres to litres.
0.5752029
How many nanoseconds are there in 0.9973196 hours?
3590350560000
What is 7/4 of a kilogram in grams?
1750
What is 6597.213 nanometers in kilometers?
0.000000006597213
How many litres are there in 24.7347ml?
0.0247347
How many millilitres are there in 13866.37l?
13866370
Convert 27242.082 nanoseconds to hours.
0.000000007567245
Convert 167.743521ms to days.
0.0000019414759375
How many millilitres are there in 1/20 of a litre?
50
How many nanograms are there in 861408.8 tonnes?
861408800000000000000
How many hours are there in 4/3 of a day?
32
What is 3/50 of a litre in millilitres?
60
What is one tenth of a tonne in grams?
100000
How many nanometers are there in 61.47474 meters?
61474740000
What is 13/8 of a kilogram in grams?
1625
What is 13/4 of a milligram in micrograms?
3250
How many litres are there in 39.83461ml?
0.03983461
How many minutes are there in four fifteenths of a week?
2688
Convert 0.196124ml to litres.
0.000196124
What is 34/5 of a century in years?
680
What is 8.873969 decades in months?
1064.87628
How many grams are there in twenty-five halves of a kilogram?
12500
What is 156.819 days in seconds?
13549161.6
How many milligrams are there in 3/10 of a gram?
300
How many micrometers are there in 3/8 of a millimeter?
375
How many centuries are there in six fifths of a millennium?
12
How many minutes are there in 12/35 of a week?
3456
What is 42455.34 milligrams in grams?
42.45534
What is 13/8 of a centimeter in micrometers?
16250
Convert 4104.515 litres to millilitres.
4104515
Convert 59.74471 meters to micrometers.
59744710
How many grams are there in fifty-seven fifths of a kilogram?
11400
How many tonnes are there in 344.166g?
0.000344166
How many centuries are there in 0.557232 millennia?
5.57232
What is 27/2 of a litre in millilitres?
13500
What is 32/5 of a kilogram in grams?
6400
How many millennia are there in 38465.95 centuries?
3846.595
What is 7/2 of a litre in millilitres?
3500
What is seven halves of a decade in years?
35
How many micrograms are there in 21/5 of a milligram?
4200
How many micrograms are there in 43/2 of a milligram?
21500
What is 5.136276nm in millimeters?
0.000005136276
What is 3/40 of a tonne in kilograms?
75
Convert 2.2427565 seconds to minutes.
0.037379275
What is 27/5 of a kilometer in meters?
5400
What is twenty-seven halves of a year in months?
162
How many micrograms are there in 904.6498ng?
0.9046498
What is 17/4 of a milligram in micrograms?
4250
How many nanometers are there in 95226.9m?
95226900000000
What is seventy-one fifths of a litre in millilitres?
14200
Convert 35174.06um to kilometers.
0.00003517406
What is 29/5 of a millennium in months?
69600
What is 5.644316 years in decades?
0.5644316
How many millimeters are there in 19/4 of a meter?
4750
How many meters are there in seventy-six fifths of a kilometer?
15200
How many seconds are there in twenty-five halves of a hour?
45000
What is 0.9557722 millennia in decades?
95.57722
How many nanometers are there in 3/50 of a micrometer?
60
How many millennia are there in 81.59462 decades?
0.8159462
How many millilitres are there in 51/5 of a litre?
10200
How many micrograms are there in 1/4 of a milligram?
250
Convert 5.148253 milligrams to micrograms.
5148.253
How many kilograms are there in 7/4 of a tonne?
1750
How many nanoseconds are there in 11/2 of a microsecond?
5500
What is 1/6 of a decade in months?
20
What is one twentieth of a century in months?
60
How many micrometers are there in 21/4 of a centimeter?
52500
Convert 2133.88kg to nanograms.
2133880000000000
What is 410927.3 litres in millilitres?
410927300
What is twenty-seven quarters of a litre in millilitres?
6750
How many millilitres are there in five eighths of a litre?
625
What is 13/5 of a hour in seconds?
9360
What is 18/5 of a millennium in centuries?
36
Convert 0.5958053km to centimeters.
59580.53
What is 9806.65 days in hours?
235359.6
Convert 141844.7 nanograms to kilograms.
0.0000001418447
How many meters are there in 42/5 of a kilometer?
8400
What is six fifths of a kilogram in grams?
1200
What is one quarter of a litre in millilitres?
250
How many nanometers are there in 97429.87km?
97429870000000000
What is 51/5 of a microgram in nanograms?
10200
How many millennia are there in 265758.48 months?
22.14654
What is 7/2 of a millennium in decades?
350
Convert 950369.7 millilitres to litres.
950.3697
Convert 880.8256 hours to minutes.
52849.536
How many centuries are there in 8238.146 decades?
823.8146
How many millilitres are there in 3/5 of a litre?
600
What is 1312.234 litres in millilitres?
1312234
How many nanograms are there in 3/25 of a microgram?
120
How many millennia are there in 307427.5 years?
307.4275
Convert 0.216988 days to microseconds.
18747763200
Convert 9.611312 millennia to decades.
961.1312
What is 2.447236 millimeters in centimeters?
0.2447236
Convert 55.60791m to kilometers.
0.05560791
How many grams are there in 3/10 of a kilogram?
300
What is 270.9075ug in grams?
0.0002709075
How many millilitres are there in sixty-seven quarters of a litre?
16750
How many milligrams are there in eleven eighths of a gram?
1375
How many nanoseconds are there in 1.422577 minutes?
85354620000
Convert 3607.449 nanometers to kilometers.
0.000000003607449
What is 1/10 of a microgram in nanograms?
100
Convert 43709.21um to meters.
0.04370921
How many meters are there in 654.5948 micrometers?
0.0006545948
How many millilitres are there in 17/4 of a litre?
4250
How many minutes are there in 1/4 of a day?
360
How many millilitres are there in 0.7367093l?
736.7093
What is 7368.99 litres in millilitres?
7368990
What is 804561.3 milligrams in micrograms?
804561300
What is 119031.6 grams in micrograms?
119031600000
What is 21/4 of a litre in millilitres?
5250
What is 1/10 of a kilometer in millimeters?
100000
What is 147916.5cm in millimeters?
1479165
Convert 2401.95 millilitres to litres.
2.40195
How many kilograms are there in 355202.9 milligrams?
0.3552029
How many nanoseconds are there in 3756.527 hours?
13523497200000000
How many millimeters are there in sixty-one halves of a centimeter?
305
How many kilograms are there in 422.2691 milligrams?
0.0004222691
How many millimeters are there in 17/2 of a centimeter?
85
How many milligrams are there in 11/2 of a gram?
5500
What is 29/2 of a hour in minutes?
870
What is twenty-three eighths of a kilometer in meters?
2875
What is 57.15456 centuries in months?
68585.472
What is twenty-one halves of a kilometer in meters?
10500
Convert 53202.49 litres to millilitres.
53202490
How many milligrams are there in twenty-five halves of a gram?
12500
How many millilitres are there in 1/4 of a litre?
250
How many milligrams are there in 11/4 of a gram?
2750
What is 1/6 of a week in hours?
28
What is 0.9437783mg in micrograms?
943.7783
How many months are there in 0.087757 decades?
10.53084
How many centimeters are there in 3/5 of a meter?
60
How many decades are there in 1711771.8 months?
14264.765
What is 1575882.54 seconds in days?
18.23938125
What is 25/4 of a milligram in micrograms?
6250
Convert 0.0773767 hours to milliseconds.
278556.12
Convert 26422.173 months to millennia.
2.20184775
What is 249.0104 millennia in decades?
24901.04
Convert 0.7821221 kilometers to nanometers.
782122100000
How many nanometers are there in 1894.993km?
1894993000000000
How many millil
|
{
"pile_set_name": "DM Mathematics"
}
|
(d) 4
c
Which is the nearest to -4? (a) -0.5 (b) 2 (c) -5
c
What is the closest to 2/3 in 1, -3, -8?
1
What is the nearest to -5/4 in -3, 0.3, 0.4?
0.3
What is the closest to -1 in -141, -3, -2/3, 1/5?
-2/3
Which is the nearest to 29? (a) -0.3 (b) -5 (c) 6/11 (d) -2/13
c
What is the closest to -2/5 in 4, 3, -0.24?
-0.24
What is the closest to -0.2 in 0.2, 8, -1/3, 3/4?
-1/3
Which is the closest to -47? (a) 1/4 (b) 3/5 (c) -2/5 (d) -16
d
Which is the closest to 2? (a) 5 (b) -1/4 (c) -0.06
c
What is the closest to -45 in -0.3, -97, 3?
-0.3
Which is the nearest to 1? (a) 8 (b) -7 (c) 3
c
Which is the closest to 0? (a) -18 (b) 2/3 (c) -3.7
b
What is the closest to 1/134 in 1, -2/9, -4, -1/6?
-1/6
What is the nearest to 1/3 in -1, -6, -2?
-1
Which is the closest to 1? (a) 0 (b) -0.5 (c) -2859
a
What is the closest to 0 in -2, 15/7, -1/2, -1?
-1/2
What is the closest to 3 in 17, -0.2, 0.3?
0.3
What is the nearest to -0.2 in 4.3, 2/21, 1/9?
2/21
Which is the closest to -2? (a) -6/7 (b) 0.8 (c) -5 (d) -3
d
What is the closest to -0.1 in 0.4, 4, 0, 2?
0
What is the nearest to -240 in -0.4, 3, -0.1?
-0.4
What is the nearest to -1 in -412, 1, -4?
1
What is the closest to -3 in 2/7, 109, 3?
2/7
Which is the nearest to 105? (a) 0 (b) 25 (c) 0.2
b
What is the nearest to -2 in -1/7, 0.1, 0.3, 2?
-1/7
Which is the closest to 1/2? (a) -5 (b) -1 (c) -7
b
Which is the closest to 0.4? (a) -2/15 (b) -1/2 (c) 0.1
c
Which is the closest to 2/7? (a) -1/4 (b) 3/2 (c) 15/7
a
Which is the closest to 1? (a) 0.2 (b) -9 (c) 1/3 (d) -10
c
What is the closest to -3/5 in 6, 0.4, -0.4, 1?
-0.4
Which is the closest to -0.3? (a) -0.01 (b) 1 (c) 0.05 (d) 3/4
a
Which is the nearest to -1/3? (a) 3/7 (b) 1/4 (c) -0.4 (d) 0.4
c
What is the nearest to 3/5 in -0.3, -5, 3, 0?
0
Which is the closest to -18? (a) 1/3 (b) 5 (c) -2/33
c
What is the nearest to -1 in 1/44, 0.1, 1?
1/44
What is the closest to -3 in 4/9, -4/5, 0.1, -2?
-2
What is the nearest to -1/2 in -4, 279, 4?
-4
Which is the nearest to 2/3? (a) -4/5 (b) -165/2 (c) -0.1 (d) -1/8
c
Which is the nearest to -2? (a) 0.7 (b) 0.4 (c) 54 (d) -0.1
d
What is the nearest to -1 in -3, 0.5, -15/2, -4?
0.5
Which is the nearest to -2.1? (a) 6/5 (b) 11 (c) -0.3
c
Which is the nearest to -2/7? (a) 5 (b) -0.4 (c) 0.13 (d) 2/47
b
What is the closest to 1 in -18, -0.6, -0.1, 1?
1
Which is the closest to 5? (a) 2/15 (b) 1/4 (c) 5 (d) 0.1
c
Which is the nearest to -2? (a) 1/3 (b) 5 (c) 1/2 (d) -2/9
d
Which is the closest to -3/2? (a) 0.5 (b) 0.4 (c) -19 (d) 0
d
What is the nearest to 0 in 2, -0.1, -3?
-0.1
What is the nearest to 15 in 3, 4/7, -1?
3
Which is the nearest to 0.01? (a) 0.3 (b) 7 (c) -3
a
Which is the nearest to 2/7? (a) 0.11 (b) 3 (c) 0.5
a
Which is the nearest to 2/7? (a) -1 (b) 2/15 (c) -4.27
b
Which is the closest to 3? (a) 5 (b) -6 (c) 0
a
What is the nearest to 0.14 in 3, 0.1, -5, 206?
0.1
Which is the closest to 1? (a) 2394/13 (b) -3 (c) -2 (d) -4/7
d
What is the nearest to -1/3 in 0.09, 0.3, -0.5, 3?
-0.5
What is the closest to 2 in 4/5, 4, -2, -3?
4/5
What is the closest to 1/4 in -1/19, -4, 5?
-1/19
What is the closest to 1 in -2/15, -3/2, 2/7?
2/7
Which is the nearest to -1? (a) -0.3 (b) -2/7 (c) -29
a
Which is the nearest to 1? (a) 32 (b) -2 (c) 2 (d) -3
c
What is the nearest to 1 in -1/8, 12, 4?
-1/8
Which is the closest to 3? (a) 5 (b) -2 (c) 0 (d) 2/3
a
Which is the nearest to -13? (a) 2/5 (b) -2 (c) 5
b
What is the closest to 0 in 1/2, -4, -11, -0.1?
-0.1
Which is the nearest to 0? (a) -3 (b) -0.03 (c) -0.29
b
Which is the nearest to -1? (a) 0.08 (b) 1/4 (c) 3/2 (d) 5
a
What is the nearest to 0 in -21, 4, -8?
4
What is the nearest to 0.1 in -77, -8, -11, 5?
5
Which is the closest to -0.2? (a) -1 (b) -2 (c) -2/9 (d) 6
c
Which is the nearest to -0.2? (a) 1/5 (b) 3 (c) -5 (d) -1/11
d
Which is the closest to -1? (a) -1/2 (b) 0.4 (c) -2 (d) 813
a
Which is the closest to 0? (a) 4 (b) 1/4 (c) 0.2 (d) -0.021
d
Which is the nearest to -0.1? (a) -0.3 (b) -2/5 (c) 2/19
a
Which is the nearest to -1? (a) -1/26 (b) -1/4 (c) -3 (d) 0.04
b
Which is the nearest to 3? (a) -11 (b) 0.2 (c) 5 (d) 2/3
c
Which is the nearest to 2/9? (a) -0.09 (b) -13 (c) 5
a
What is the closest to 2/5 in 2/25, 4/9, 0?
4/9
Which is the nearest to -0.5? (a) 2/19 (b) 4/7 (c) 4 (d) -0.37
d
Which is the nearest to -0.011? (a) -2/3 (b) -2/17 (c) -0.6
b
What is the closest to 1 in 0.5, -3, -0.52, -0.01?
0.5
What is the closest to 0 in 0.4, -0.2, -28?
-0.2
What is the closest to -184 in -0.1, -1/3, -1?
-1
Which is the nearest to 1/3? (a) -1/6 (b) 0.014 (c) -9
b
What is the nearest to 1 in -1/4, 1/3, 5, 0.03?
1/3
Which is the nearest to -2/23? (a) 13 (b) -3/8 (c) -0.4
b
Which is the closest to 0? (a) -1/2 (b) -2/3 (c) -2 (d) 0
d
What is the closest to -2 in 0, 1, -62?
0
Which is the closest to 0.1? (a) 1 (b) 2/19 (c) -0.3 (d) 46
b
Which is the closest to 4/9? (a) 2 (b) 2/5 (c) -3 (d) 2/13
b
What is the nearest to 0.1 in 1.2, 6, 2/5?
2/5
Which is the closest to -0.13? (a) 1/6 (b) -3 (c) -2/21 (d) -2/3
c
Which is the nearest to -1? (a) -0.5 (b) 1.2 (c) 0.08 (d) 8
a
Which is the nearest to -2? (a) -0.4 (b) -3/7 (c) 8
b
What is the nearest to 2 in 76, 2/7, -3/5, 3?
3
Which is the nearest to 2/13? (a) -3 (b) 12 (c) 0.3 (d) 0.2
d
Which is the closest to -0.1? (a) 0.7 (b) -4 (c) 4
a
What is the closest to -0.4 in -1, 2/5, -1/5?
-1/5
Which is the nearest to -3? (a) -4 (b) -28 (c) -49
a
What is the closest to 4/3 in -0.5, -0.2, 0.5?
0.5
What is the closest to 6 in -17, -2, 3?
3
Which is the nearest to 0.1? (a) -2 (b) -5/7 (c) 1/14
c
What is the closest to -2 in 5, -2/45, -0.2, 3?
-0.2
Which is the closest to -2/7? (a) 6 (b) 0.6 (c) 2/5 (d) -20
c
Which is the closest to -0.3? (a) 1.3 (b) 41 (c) 0
c
What is the nearest to -3 in -0.5, -2.5, 0.1?
-2.5
Which is the closest to 1/5? (a) 1/6 (b) -0.06 (c) 0 (d) -4
a
Which is the closest to -1? (a) 8/19 (b) -2/9 (c) 2
b
What is the nearest to -211 in -5, -2/3, 1/3?
-5
What is the closest to 1/4 in 3, -0.4, -0.05, -1/4?
-0.05
Which is the closest to -1? (a) 0 (b) -2/7 (c) 2/5 (d) -0.54
d
What is the nearest to -1/2 in -0.2, 3, -1/9, 1?
-0.2
What is the nearest to -2 in 3, -27, -0.1?
-0.1
What is the nearest to 721 in 5, 0.2, -2/7?
5
What is the closest to 2 in 12/155, 5, -0.1?
12/155
Which is the nearest to -0.5? (a) 2 (b) 4 (c) -0.1 (d) 0.3
c
What is the nearest to -1 in 5, -3/5, -4/5, -2/685?
-4/5
Which is the nearest to 218? (a) -2 (b) -0.1 (c) 4
c
What is the closest to 0.02 in -0.3, -2/33, 0.5, 4?
-2/33
What is the closest to -4 in -6/23, -0.04, 0.5?
-6/23
Which is the closest to -3? (a) -0.1 (b) 6 (c) -5
c
What is the closest to 3 in 0.16, -5/3, -8, -1?
0.16
Which is the nearest to -2? (a) -0.2 (b) -0.4 (c) 1/6 (d) 0.03
b
Which is the nearest to -1? (a) 1 (b) 8/5 (c) 0.03 (d) 0.5
c
What is the nearest to -0.1 in 87, -2/19, -4?
-2/19
What is the closest to 3/2 in 3/4, -0.4, 0.5?
3/4
What is the closest to -1 in 1/2, 0.08, 1, 3/5?
0.08
Which is the closest to 0? (a) 4 (b) -0.1 (c) -3 (d) -0.4
b
What is the nearest to -11 in -1/4, 1, 1.8, -1?
-1
What is the closest to 0.2 in -4, -2, 0.2, -0.3?
0.2
What is the nearest to -0.1 in 51, 0.2, 3, 1?
0.2
Which is the nearest to 0? (a) -1/18 (b) 0.7 (c) -2
a
Which is the nearest to 1? (a) -29 (b) 2/25 (c) 1 (d) -1
c
What is the nearest to 0 in 3/8, -7, -1/11, -0.5?
-1/11
Which is the closest to 12? (a) 1 (b) 64 (c) -2
a
Which is the nearest to 19? (a) 29 (b) -0.1 (c) -1/3 (d) -1
a
What is the closest to 2 in -1/4, -0.07, 2/9, -0.1?
2/9
Which is the closest to 0.25? (a) 1/4 (b) 2/11 (c) 3 (d) 1/13
a
Which is the closest to -4? (a) -0.03 (b) 0.4 (c) -1 (d) 1
c
Which is the closest to -7? (a) -3/7 (b) -1 (c) 0.5 (d) -5
d
Which is the closest to -1/3? (a) 1/149 (b) -1 (c) -3 (d) 5
a
What is the closest to -2.8 in -2, 0.28, 0.5?
-2
What is the nearest to -2.5 in -2/3, 1/3, 3?
-2/3
What is the nearest to 2 in 5, -2, -2/11, -45?
-2/11
What is the nearest to 8/27 in 2, 21, 2/7?
2/7
What is the closest to -2 in -1, 19.7, -2?
-2
Whi
|
{
"pile_set_name": "DM Mathematics"
}
|
the l'th term of 2706, 5457, 8216, 10983, 13758, 16541?
4*l**2 + 2739*l - 37
What is the p'th term of -1703, -3407, -5113, -6821, -8531?
-p**2 - 1701*p - 1
What is the h'th term of 231, 217, 177, 99, -29, -219, -483?
-2*h**3 - h**2 + 3*h + 231
What is the v'th term of -37, -200, -363, -526, -689, -852?
-163*v + 126
What is the o'th term of -2106, -4228, -6348, -8466, -10582, -12696?
o**2 - 2125*o + 18
What is the o'th term of 39, 97, 255, 561, 1063, 1809, 2847, 4225?
8*o**3 + 2*o**2 - 4*o + 33
What is the z'th term of -39, 85, 411, 1035, 2053, 3561?
16*z**3 + 5*z**2 - 3*z - 57
What is the w'th term of 665, 694, 709, 704, 673?
-w**3 - w**2 + 39*w + 628
What is the x'th term of -3271, -3266, -3263, -3268, -3287, -3326, -3391, -3488?
-x**3 + 5*x**2 - 3*x - 3272
What is the t'th term of 11639, 46547, 104721, 186155, 290843?
-t**3 + 11639*t**2 - 2*t + 3
What is the v'th term of 147, -121, -565, -1185?
-88*v**2 - 4*v + 239
What is the q'th term of 972664, 972664, 972672, 972694, 972736, 972804, 972904, 973042?
q**3 - 2*q**2 - q + 972666
What is the f'th term of 406, 1722, 3938, 7048, 11046, 15926, 21682, 28308?
-f**3 + 456*f**2 - 45*f - 4
What is the h'th term of -1832, -1766, -1716, -1688, -1688, -1722?
-h**3 - 2*h**2 + 79*h - 1908
What is the c'th term of 2085, 2090, 2097, 2106, 2117, 2130, 2145?
c**2 + 2*c + 2082
What is the n'th term of -4928, -9871, -14838, -19841, -24892, -30003?
-2*n**3 - 4929*n + 3
What is the x'th term of -4907, -9831, -14751, -19667?
2*x**2 - 4930*x + 21
What is the h'th term of -1853, -1937, -2013, -2075, -2117, -2133, -2117, -2063?
h**3 - 2*h**2 - 85*h - 1767
What is the h'th term of 15650, 15625, 15600, 15575?
-25*h + 15675
What is the c'th term of 10388, 20775, 31162, 41549?
10387*c + 1
What is the y'th term of 0, -12, -32, -66, -120, -200, -312, -462?
-y**3 + 2*y**2 - 11*y + 10
What is the f'th term of -18654, -18655, -18656, -18657, -18658?
-f - 18653
What is the c'th term of -3718, -4303, -4888, -5473, -6058, -6643?
-585*c - 3133
What is the j'th term of 868, 880, 892, 904, 916?
12*j + 856
What is the g'th term of 47774, 47769, 47764?
-5*g + 47779
What is the l'th term of 2355, 2488, 2709, 3018, 3415, 3900, 4473?
44*l**2 + l + 2310
What is the c'th term of 103863, 207694, 311525, 415356, 519187, 623018?
103831*c + 32
What is the h'th term of -10, 69, 150, 233, 318, 405, 494?
h**2 + 76*h - 87
What is the q'th term of 15, 113, 387, 927, 1823?
15*q**3 - 2*q**2 - q + 3
What is the g'th term of 22099, 88382, 198853, 353512?
22094*g**2 + g + 4
What is the w'th term of 80823, 161648, 242473, 323298, 404123?
80825*w - 2
What is the c'th term of -189, -261, -307, -327, -321?
13*c**2 - 111*c - 91
What is the p'th term of 284083, 284081, 284079, 284077?
-2*p + 284085
What is the p'th term of 1191160, 1191159, 1191158?
-p + 1191161
What is the r'th term of -1030, -1466, -1902, -2338, -2774, -3210?
-436*r - 594
What is the o'th term of -261, -1320, -4189, -9774, -18981, -32716?
-151*o**3 + o**2 - 5*o - 106
What is the v'th term of -417, -1073, -1733, -2397?
-2*v**2 - 650*v + 235
What is the f'th term of 2344, 2356, 2362, 2362, 2356, 2344?
-3*f**2 + 21*f + 2326
What is the i'th term of -14782, -59273, -133424, -237235?
-14830*i**2 - i + 49
What is the a'th term of 39, 61, 71, 81, 103, 149, 231?
2*a**3 - 18*a**2 + 62*a - 7
What is the g'th term of -231, -799, -1701, -2937, -4507?
-167*g**2 - 67*g + 3
What is the p'th term of -3653, -8814, -13973, -19130, -24285, -29438?
p**2 - 5164*p + 1510
What is the u'th term of 41396, 41397, 41398, 41399?
u + 41395
What is the i'th term of 20830, 41694, 62578, 83476, 104382, 125290, 146194, 167088?
-i**3 + 16*i**2 + 20823*i - 8
What is the z'th term of -233, -1964, -6653, -15776, -30809, -53228, -84509?
-246*z**3 - 3*z**2 + 16
What is the s'th term of 681, 608, 475, 282, 29, -284?
-30*s**2 + 17*s + 694
What is the b'th term of 772727, 772724, 772719, 772712?
-b**2 + 772728
What is the w'th term of -5718, -5732, -5744, -5760, -5786, -5828, -5892?
-w**3 + 7*w**2 - 28*w - 5696
What is the l'th term of -21173, -21470, -21767, -22064, -22361, -22658?
-297*l - 20876
What is the t'th term of -50069, -100144, -150219, -200294?
-50075*t + 6
What is the b'th term of -164840, -329687, -494534, -659381, -824228?
-164847*b + 7
What is the g'th term of -63804, -63788, -63772?
16*g - 63820
What is the j'th term of 9584, 9548, 9482, 9380, 9236, 9044, 8798, 8492?
-j**3 - 9*j**2 - 2*j + 9596
What is the b'th term of 125, 224, 315, 404, 497?
b**3 - 10*b**2 + 122*b + 12
What is the d'th term of 1281, 2488, 3693, 4896, 6097, 7296?
-d**2 + 1210*d + 72
What is the j'th term of -386, -695, -1004, -1313, -1622?
-309*j - 77
What is the h'th term of 742002, 742008, 742012, 742014, 742014?
-h**2 + 9*h + 741994
What is the m'th term of 14, 71, 180, 353, 602?
2*m**3 + 14*m**2 + m - 3
What is the b'th term of -1096463, -1096461, -1096459, -1096457, -1096455, -1096453?
2*b - 1096465
What is the a'th term of 2421, 4799, 7153, 9471, 11741, 13951, 16089?
-2*a**3 + 2392*a + 31
What is the j'th term of -605, -615, -613, -599, -573, -535?
6*j**2 - 28*j - 583
What is the u'th term of 7094, 7103, 7112, 7121, 7130, 7139?
9*u + 7085
What is the i'th term of 437, 937, 1437?
500*i - 63
What is the h'th term of 16, 43, 80, 121, 160?
-h**3 + 11*h**2 + h + 5
What is the n'th term of -1159, -1688, -2215, -2740, -3263, -3784, -4303?
n**2 - 532*n - 628
What is the m'th term of 1484, 1510, 1552, 1610, 1684, 1774?
8*m**2 + 2*m + 1474
What is the g'th term of -10470, -10399, -10280, -10113, -9898, -9635, -9324?
24*g**2 - g - 10493
What is the k'th term of -84, -191, -318, -471, -656, -879?
-k**3 - 4*k**2 - 88*k + 9
What is the z'th term of -360, -94, 626, 2028, 4340?
38*z**3 - z**2 + 3*z - 400
What is the q'th term of -47, -313, -747, -1343, -2095, -2997, -4043, -5227?
q**3 - 90*q**2 - 3*q + 45
What is the o'th term of 518739, 518745, 518749, 518745, 518727, 518689, 518625?
-o**3 + 5*o**2 - 2*o + 518737
What is the z'th term of 2304, 4460, 6616, 8772, 10928, 13084?
2156*z + 148
What is the m'th term of 175, 389, 603, 817, 1031, 1245?
214*m - 39
What is the t'th term of 7089, 14149, 21177, 28173?
-16*t**2 + 7108*t - 3
What is the k'th term of 337094, 337093, 337092?
-k + 337095
What is the r'th term of 368, 1448, 3246, 5762, 8996?
359*r**2 + 3*r + 6
What is the f'th term of -1518, -3111, -4706, -6303, -7902, -9503, -11106?
-f**2 - 1590*f + 73
What is the u'th term of 26987, 53967, 80947, 107927, 134907?
26980*u + 7
What is the b'th term of -520, -1000, -1480, -1960, -2440, -2920?
-480*b - 40
What is the l'th term of -144, -315, -480, -639, -792, -939?
3*l**2 - 180*l + 33
What is the l'th term of 2724, 10844, 24362, 43278, 67592, 97304?
2699*l**2 + 23*l + 2
What is the a'th term of 3169, 6308, 9447, 12586, 15725, 18864?
3139*a + 30
What is the n'th term of -1004225, -2008449, -3012673, -4016897, -5021121?
-1004224*n - 1
What is the w'th term of -4225, -4233, -4241, -4249, -4257?
-8*w - 4217
What is the q'th term of 313, 453, 607, 781, 981, 1213, 1483, 1797?
q**3 + q**2 + 130*q + 181
What is the p'th term of -13713, -27428, -41143, -54858, -68573, -82288?
-13715*p + 2
What is the w'th term of -41835, -41837, -41839, -41841, -41843?
-2*w - 41833
What is the y'th term of 405, 401, 397, 393?
-4*y + 409
What is the n'th term of -851, -3411, -7681, -13667, -21375, -30811, -41981?
-n**3 - 849*n**2 - 6*n + 5
What is the f'th term of -705, -3005, -6839, -12207?
-767*f**2 + f + 61
What is the j'th term of -649, -704, -801, -946, -1145, -1404, -1729?
-j**3 - 15*j**2 - 3*j - 630
What is the s'th term of -3600, -7201, -10798, -14391, -17980, -21565?
2*s**2 - 3607*s + 5
What is the j'th term of 2169, 2187, 2209, 2235, 2265, 2299?
2*j**2 + 12*j + 2155
What is the u'th term of 4334038, 4334040, 4334042?
2*u + 4334036
What is the f'th term of 73301, 73307, 73313, 73319, 73325, 73331?
6*f + 73295
What is the u'th term of -2965, -2984, -3015, -3058, -3113, -3180, -3259?
-6*u**2 - u - 2958
What is the z'th term of -94, -169, -246, -325, -406, -489?
-z**2 - 72*z - 21
What is the l'th term of 2163, 4334, 6509, 8688, 10871, 13058?
2*l**2 + 2165*l - 4
What is the d'th term of -154, -560, -1226, -2152, -3338, -4784, -6490?
-130*d**2 - 16*d - 8
What is the m'th term o
|
{
"pile_set_name": "DM Mathematics"
}
|
**3 - 7*c + 4. Give g(6).
-2
Let u(q) = -8*q. Let c be (-2 - (-15)/6)*0. Suppose c = 4*t - 0 + 8. What is u(t)?
16
Let v = 7 - 4. Let c(s) = s**2 - 2*s - 1. Let j be c(v). Suppose -j*b + 0*b + 6 = 0. Let q(z) = 2*z - 2. Give q(b).
4
Let v(y) = 4*y**2 - 6*y - 8. Let b(g) = -5*g**2 + 7*g + 9. Let u(q) = 5*b(q) + 6*v(q). What is u(-3)?
-9
Let j(k) be the third derivative of k**4/12 - 2*k**3/3 + k**2. Let c = -2 - 2. Let z = c - -8. Calculate j(z).
4
Let s(k) be the third derivative of k**6/15 - k**5/30 + k**3/6 + 4*k**2. Determine s(-1).
-9
Let b(v) = -v**3 + v**2 + v + 5. Suppose 0*k - k = 0. Suppose 8*j = 5*j - 3*o, 5*j + 2*o = k. What is b(j)?
5
Let d(t) = 3*t + 1. Let u(h) = 7*h + 2. Let g(w) = -9*d(w) + 4*u(w). Suppose -2*r = -6*r. Suppose -2*n - 3*c + 5 = -3*n, -n - 3*c + 13 = r. Calculate g(n).
3
Let x(n) = n + 1. Let m(f) = 2*f**2 - 10*f - 3. Let t(j) = -4*j**2 + 21*j + 7. Let y(d) = -7*m(d) - 3*t(d). Let v be y(4). Give x(v).
-3
Let y(m) be the second derivative of -m**3/3 + m**2/2 - 2*m. Suppose -q = q - 4. Let g be y(q). Let o(j) = -2*j + 1. Calculate o(g).
7
Let z(d) = d**3 - 4*d**2 - 5. Let y be ((-8)/(-12))/(2/33). Let j = -25 + y. Let p = -10 - j. Determine z(p).
-5
Suppose 3*b - 4*h = 32, h = -0*h - 5. Let u(m) = 5*m**2 + m. Let y be u(-1). Let i(o) = y - 3*o - 5*o + b*o. Give i(3).
-8
Suppose -j + 2 = -4. Suppose -18 = -3*g + j*g. Let h(p) = p**3 + 6*p**2 - p - 1. Determine h(g).
5
Let d(q) = -q**2 - 7*q - 7. Suppose 0 = -3*c + 30 + 9. Suppose -5*x = c + 17. What is d(x)?
-1
Let s(r) = -r + 2. Let p be s(11). Let m(u) = -u**3 + 7*u**2. Let c(l) = -4*l**3 + 29*l**2 + l. Let n(w) = p*m(w) + 2*c(w). Determine n(4).
-8
Let t(o) be the first derivative of o**3/3 - 2*o**2 + 3*o + 10. Calculate t(4).
3
Let c(y) be the first derivative of y**4/12 + 2*y**3/3 + y**2 - 3. Let v(j) be the second derivative of c(j). Calculate v(-4).
-4
Let x be 16/3 + (-5)/15. Let a = -14 - -20. Let y(c) = -2*c - c**2 + c + a*c + c - 2. Determine y(x).
3
Let p = 2 + -2. Suppose -s = -3*w + 6, -4*s + 7*s - 3*w = 0. Let q(h) = h - s*h + h + 6. What is q(p)?
6
Let h = -7 - -10. Suppose -x + 0*o + 11 = -3*o, -19 = -5*x - h*o. Let i(c) = c**2 - 7*c + 3. Determine i(x).
-7
Let f(g) = -g**3 + 4*g**2 + 5*g + 1. Suppose -b - 5*u = -23 + 2, 7 = -b + 2*u. Suppose 2*k - k = 4*h + b, k + 2*h = 7. What is f(k)?
1
Let p(h) = -5*h**3 - 7*h**2 - 10*h + 5. Let j(q) = -9*q**3 - 14*q**2 - 20*q + 11. Let g(b) = -6*j(b) + 11*p(b). Calculate g(8).
5
Let p(g) = g**3 - 4*g**2 - 5*g - 1. Let l(h) = h + 3. Let s be l(0). Suppose 3*c - 3 = -a + c, 3*c + s = 0. Calculate p(a).
-1
Let k(t) = 2*t - 5. Let s be k(4). Suppose 3*q - 2*q = s. Let c(p) = -p**2 + 4*p. Give c(q).
3
Let j(w) = 7 - 4*w - 1 - 7 + 4. Determine j(3).
-9
Let v(d) = d + 7. Let k(u) = -u - 7. Let p be k(-3). Calculate v(p).
3
Let g = 4 + -6. Let z(w) = w - 2. What is z(g)?
-4
Let y(k) = -k + k**3 - 6 + 0*k**2 - 4*k**2 + 9*k**2. What is y(-5)?
-1
Let p(r) = -3*r + 2*r**3 - r**2 + 6*r**2 + 0*r**3 - 3*r**3. Determine p(3).
9
Let q(d) = d + 1. Let z = 11 - 7. Suppose -z*s - 48 = -0. Let v = -8 - s. Determine q(v).
5
Suppose -14*h + 12*h = 0. Suppose 41 = 4*o + 5. Let u(w) = -2*w + o + 3*w + 0*w**2 + w**2 + w**3. Determine u(h).
9
Let m(n) be the first derivative of n**4/4 + 10*n**3/3 - n + 2. Let j be m(-10). Let t(i) = -5*i - 1. What is t(j)?
4
Let h be 1/3*(-39)/1. Let i be 2/h + 84/39. Let w(k) = k**3 - 2*k**2 - 3*k + 3. Calculate w(i).
-3
Let u(v) = -v**3 - 7 + 4*v**2 + 2*v**3 + 0*v - 5*v. Suppose 3*q - 2*l + 7 = 0, -q - 6 = -3*q + 4*l. Determine u(q).
-7
Let p(a) = a**3 - 2*a**2 - 3*a + 3. Let h be p(3). Let w be h - (-1)/(-1 + 2). Suppose -w*y = -0*o - o + 13, -3*y = -3*o + 21. Let v(u) = -2*u + 6. Give v(o).
-4
Let n(m) be the second derivative of 3*m + 0*m**2 + 1/2*m**3 + 0*m**4 - 1/40*m**5 + 0. Let q(u) be the second derivative of n(u). Give q(2).
-6
Suppose 0 = -8*a + 5*a. Suppose 5*i - 10 - 5 = 0. Let m = i - a. Let o(f) = -f**3 + 4*f**2 - 4. Determine o(m).
5
Let y(n) = n**2 + 9*n + 9. Let o(x) = x**2 + 8*x + 8. Let b(u) = -6*o(u) + 5*y(u). What is b(-4)?
-7
Let c be (1 + -2)*0 + -3. Let i(u) = -2*u - 2. Determine i(c).
4
Suppose -11*u + 7*u + 16 = 0. Let d(g) = 2*g - 5. Give d(u).
3
Let t be (-4)/(-2) + 6/3. Let d(n) = n**3 + 6*n**2 + n + 8. Let g be d(-6). Let q(j) = 4*j + 0*j**3 - 2*j**2 + j**3 - g - 3*j**2. What is q(t)?
-2
Let t = 20 - 16. Let f(r) = r**3 - 4*r**2 + 3. Calculate f(t).
3
Let p be (-1*(-2)/(-6))/((-2)/6). Let o(h) = 132*h + 32. Let l(n) = 12*n + 3. Let w(x) = 32*l(x) - 3*o(x). Determine w(p).
-12
Let d(b) = 6*b**3 - 2*b**2 + 1. Let k = -10 - 1. Let z = 12 + k. Calculate d(z).
5
Let f = 61/2 + -30. Let p(u) be the second derivative of -1/4*u**4 - u + 0 - 1/20*u**5 + u**2 + f*u**3. Determine p(-4).
6
Suppose 0*h + 116 = 4*h. Let m = h - 32. Let n(v) be the third derivative of -v**6/120 - v**5/30 + v**4/6 + v**3/2 + v**2. What is n(m)?
0
Suppose 4*v - 11 + 3 = 0. Let r(q) = 4*q**2 - q - 5*q**2 - 4*q**3 + 3*q**v + 0*q. Suppose f - 4 = -3. Determine r(f).
-3
Suppose 0*d = d + 4*w - 12, -4*d + 5*w = 36. Let q(h) = -h**3 - 5*h**2 - 3*h. What is q(d)?
-4
Let c(s) = s + 2. Suppose -6 = -j - 0*j. Suppose 1 = q + j. Give c(q).
-3
Let b(c) = 6*c**2 + 5*c - 10. Let p(r) = -r**2 - r + 2. Let y(a) = 2*b(a) + 11*p(a). Let m be (1 + -2 + 11)*1. Let x = m - 12. Calculate y(x).
8
Let u(c) = c**2 + 2*c - 2. Let h be (-1)/(-1) - (-4)/4. Let a be (-1 - 0) + h - 3. Calculate u(a).
-2
Let r(w) = -2*w**3 + 2*w**2 - 9*w - 29. Let l(d) = -d**3 + d**2 - 4*d - 14. Let q(v) = 7*l(v) - 3*r(v). Let b(g) = -24*g - 120. Let m be b(-5). Calculate q(m).
-11
Let g(h) = 4*h + 2. Let v(p) = 7*p**3 - 8*p**3 + 2*p + 5*p - 8 + 5*p**2. Let b be v(6). Give g(b).
-6
Let j be ((-1 - 1) + 1)*1 + -3. Let r(f) = -f**2 - 3*f + 4. Calculate r(j).
0
Suppose 5 = 5*o - 0. Let v(z) be the second derivative of 3*z - 1/2*z**2 + 2/3*z**4 + 0 + 1/6*z**3. What is v(o)?
8
Let t(v) be the first derivative of v**2/2 - v - 2. Let r(g) = g**3 - 2*g**2 - 2*g - 2. Let b = 1 - -2. Let a be r(b). Determine t(a).
0
Suppose -30 = n - 28. Let y(m) = 4*m - 3. Let a(g) = -1 + 3*g + 1 - 3. Let x(w) = n*y(w) + 3*a(w). Determine x(6).
3
Suppose 4*r + 18 - 2 = 0. Let o(q) = q**2 - 4*q + 2. Let t(i) = -6*i**2 + 21*i - 10. Let y(s) = 11*o(s) + 2*t(s). What is y(r)?
-6
Let o(y) = 3*y - 1. Let k(a) = a**2 - a. Let g(z) = -2*k(z) - 2*o(z). Calculate g(-5).
-28
Let f(d) = -d**2 + 20*d - 5. Let i be f(20). Let v be 12/10*(4 - -1). Let a(c) = -2*c**3 + 2*c**3 - v*c**2 - 5*c - 1 - c**3. Determine a(i).
-1
Let r(t) be the first derivative of -t**4/6 + t**3/6 + t + 3. Let g(y) be the first derivative of r(y). Give g(1).
-1
Let z(n) = -n - 5. Let j(t) = -4*t**3 + 1. Let u = -2 + 3. Let a be j(u). Determine z(a).
-2
Let f(o) = -o**2 + 3*o - 1. Let n be f(4). Let u(z) = -z**2 - 2*z + 7. Give u(n).
-8
Let k(q) = 16*q - 6. Let n(d) = 3*d - 1. Let s(h) = 2*k(h) - 11*n(h). Let p(j) = 6*j + 9. Let c(z) = -p(z) - 4*s(z). Determine c(-5).
5
Let k be 2 + (-2 - (-5 + -1 + 2)). Let w(r) be the second derivative of -1/12*r**4 + 1/3*r**3 - 2*r + 0 + r**2. Calculate w(k).
-6
Let h be ((-2)/(-5))/((-2)/(-10)). Let b(z) = -z**3 + 2*z**2 + z. Let q be b(h). Let c(v) = 1 + 2 - 3*v + v**q + 2*v**3 - v**3. Calculate c(-3).
-6
Let k(g) be the second derivative of g**4/12 + 2*g**3/3 - g**2/2 + 14*g. Suppose -2*q + 4*q - 16 = 0. Let l = q + -13. Calculate k(l).
4
Let x(n) = -n**3 - n. Let s(b) = 4*b**3 + 7*b**2 + 4*b + 1. Let j(l) = -s(l) - 3*x(l). Give j(-7).
6
Let h(b) = -20*b**3 + 2*b**2 + 35*b + 14. Let d(r) = -7*r**3 + r**2 + 12*r + 5. Let i(g) = -17*d(g) + 6*h(g). Let j be (-9)/(-6)*-2 - 3. Calculate i(j).
-1
Let k(a) = -a**2 - 4*a - 4. Let p be k(-3). Suppose -4*j = h - 16, 5*h + 3*j = -2 + 14. Let q(n) = 4*n + h*n + n - 4*n. Give q(p).
-1
Let y(i) = 3*i - 6. Let x(r) = r + 1. Let b(f) = -2*x(f) + y(f). What is b(5)?
-3
Let q(w) = w**2 - 7*w + 4. Let i be 4 - 8/(-6)*6. Let u be i/9*18/4. Determine q(u).
-2
Let y(d) be the first derivative of -d**2/2 + 3*d - 1. Let l = -24 + 27. Let u be y(l). Let a(m) = -m**3 + m**2 - m - 5. Determine a(u).
-5
Let x(r) be the first derivative of -r + 3/2*r**2 + 1. Suppose 20*m + 11*m = -31. Determine x(m).
-4
Let x be (-22)/(-6) + (-2)/(-6). Let f(w) be the se
|
{
"pile_set_name": "DM Mathematics"
}
|
is -229 + -4b?
-276
In base 16, what is 502f + 1?
5030
In base 4, what is 0 - 202113?
-202113
In base 13, what is 4780 + -3?
477a
In base 2, what is -1101100000100 + 10?
-1101100000010
In base 14, what is 676 - -c6?
75c
In base 8, what is 33 + -131607?
-131554
In base 16, what is eac + -48?
e64
In base 2, what is -10111001 + -11111110?
-110110111
In base 2, what is 10100 - 1111001001010?
-1111000110110
In base 12, what is -511 - 201b?
-2530
In base 10, what is -176 - -15590?
15414
In base 9, what is -652 + -4184?
-4846
In base 8, what is -21 + 3410?
3367
In base 4, what is -3 - 3112231?
-3112300
In base 9, what is -81 - 25278?
-25370
In base 15, what is 58da - -2?
58dc
In base 13, what is 1414 - -128b?
26a2
In base 4, what is -1 + -1230102221?
-1230102222
In base 4, what is -11 - -13030222?
13030211
In base 10, what is -3 - 16831?
-16834
In base 5, what is 23234 - 13?
23221
In base 5, what is 1340 + -412?
423
In base 8, what is -50007 + -3?
-50012
In base 5, what is 32311231 + 0?
32311231
In base 14, what is -5 + -5a06?
-5a0b
In base 13, what is 348 + -146?
202
In base 12, what is 5902 + 10?
5912
In base 14, what is 10546 + 8?
10550
In base 13, what is a04 - -11?
a15
In base 7, what is -15606 - 0?
-15606
In base 3, what is 202 + -11200120102?
-11200112200
In base 7, what is -5635 - 13?
-5651
In base 15, what is -2c52 - -6?
-2c4b
In base 15, what is 98360d - -1?
98360e
In base 6, what is -52543320 + -2?
-52543322
In base 5, what is 210303 - -1422?
212230
In base 9, what is 3 - 17852?
-17848
In base 12, what is 6 - 2b710?
-2b706
In base 14, what is -5 + -1093?
-1098
In base 4, what is -1200321010 - -1?
-1200321003
In base 2, what is -11 - 11100010001000101?
-11100010001001000
In base 5, what is -213 + 120322?
120104
In base 5, what is 213443412 - 0?
213443412
In base 9, what is 12080 - 4?
12075
In base 12, what is -107 + -8215?
-8320
In base 3, what is 10 + -1020102100?
-1020102020
In base 3, what is 120 - -1122000?
1122120
In base 10, what is 6 - 38447?
-38441
In base 13, what is 645b3b - 4?
645b37
In base 6, what is 2033543 + -55?
2033444
In base 4, what is -3113123 + 3?
-3113120
In base 16, what is 1ae - 2?
1ac
In base 12, what is -8a50 - 17?
-8a67
In base 11, what is 4383 - 8?
4376
In base 7, what is -5 - 106001?
-106006
In base 6, what is -340312 + 44?
-340224
In base 15, what is -5 - 3dc0?
-3dc5
In base 13, what is c3 + -5123?
-5030
In base 15, what is 37845 - -2?
37847
In base 11, what is -4 + 17128?
17124
In base 13, what is 70b - 0?
70b
In base 7, what is -2 + 15602465?
15602463
In base 9, what is -2885 + 1?
-2884
In base 14, what is -45 - db0?
-1015
In base 8, what is -136540 + 0?
-136540
In base 16, what is 229f6 + 0?
229f6
In base 14, what is 0 + c449?
c449
In base 12, what is 9441 - 4?
9439
In base 7, what is 5 + -5130043?
-5130035
In base 6, what is 113 + 40543?
41100
In base 14, what is 68 - -5b6?
640
In base 9, what is 63032 + -3?
63028
In base 9, what is 201255 + 14?
201270
In base 8, what is 1574 + -31?
1543
In base 15, what is 4a22 + -66?
49ab
In base 12, what is -234 - 273?
-4a7
In base 15, what is -6 + 210d6?
210d0
In base 15, what is -42 - -627?
5d5
In base 13, what is -7 + 52439?
52432
In base 12, what is 3a - -183a7?
18425
In base 3, what is 12210002102 + -12?
12210002020
In base 5, what is -10122 - -302?
-4320
In base 4, what is -102102 - -221?
-101221
In base 2, what is 1111001101010 + -10010?
1111001011000
In base 4, what is -303121 + 10?
-303111
In base 10, what is 4764 + -21?
4743
In base 9, what is 18 + 25742?
25761
In base 13, what is 0 - 5523?
-5523
In base 15, what is 6a000 + 3?
6a003
In base 2, what is 100001100 - 111111111?
-11110011
In base 7, what is -251614 + -5?
-251622
In base 8, what is 1732 + -111?
1621
In base 2, what is 10101000 + 1001011101?
1100000101
In base 10, what is 72734 + -2?
72732
In base 16, what is 17 + 183?
19a
In base 4, what is -11 - -2020003132?
2020003121
In base 10, what is -597 - 13?
-610
In base 4, what is -3203131000 - 1?
-3203131001
In base 14, what is -422 + -18?
-43a
In base 11, what is -5759 - 1?
-575a
In base 15, what is -44b43b - -3?
-44b438
In base 10, what is 80360 + -29?
80331
In base 13, what is 4 + 31ab?
31b2
In base 2, what is 11011011100010011 - -101?
11011011100011000
In base 9, what is -247 + -26847?
-27205
In base 4, what is 2221031 + -11?
2221020
In base 16, what is 42487 + -2?
42485
In base 16, what is 74 - 131?
-bd
In base 11, what is -1136 + 229?
-a08
In base 4, what is 1 + -1023213011?
-1023213010
In base 3, what is 10 - -10011020?
10011100
In base 12, what is -15 + -926?
-93b
In base 11, what is -4441 + a?
-4432
In base 10, what is -7 + -13504?
-13511
In base 10, what is 3 - -5463?
5466
In base 2, what is -11110 + -11010101010?
-11011001000
In base 3, what is 2010202021112 + -10?
2010202021102
In base 14, what is 1c521 - 1?
1c520
In base 7, what is -162 + -2010?
-2202
In base 11, what is 39 - -15356?
15394
In base 8, what is 5225445 + 1?
5225446
In base 10, what is -1656 + -95?
-1751
In base 14, what is -10 - -170a?
16da
In base 6, what is 2 + 144103?
144105
In base 10, what is -915 + 5?
-910
In base 13, what is 43080 - 0?
43080
In base 11, what is 41 - -29932?
29973
In base 8, what is -3 + 1421?
1416
In base 7, what is -2 + -32661?
-32663
In base 15, what is 12 - 53197?
-53185
In base 16, what is c + d1b?
d27
In base 7, what is 5343 - 4414?
626
In base 2, what is 1101110011100110001 + 1?
1101110011100110010
In base 9, what is -51 - -80861?
80810
In base 7, what is -31 + -25253?
-25314
In base 12, what is 1263 - -288?
152b
In base 11, what is -523767 + 1?
-523766
In base 5, what is -12000 - 4030?
-21030
In base 3, what is 11 - -1120212000?
1120212011
In base 3, what is 11010 - 1222020?
-1211010
In base 7, what is -420 + -2661?
-3411
In base 16, what is d - 502c?
-501f
In base 14, what is 2 - c4d7?
-c4d5
In base 7, what is -220421 + -14?
-220435
In base 15, what is 8 + -24b?
-243
In base 2, what is -11010110 + 1010100101?
111001111
In base 2, what is -1 - 1100100001?
-1100100010
In base 12, what is 1a875 - 84?
1a7b1
In base 11, what is -28630aa + -5?
-2863104
In base 5, what is 2 - -3142220?
3142222
In base 14, what is -b51 + 7?
-b48
In base 15, what is 1 - -1061?
1062
In base 8, what is 470 + 4217?
4707
In base 5, what is -2311 + -11444?
-14310
In base 5, what is 111 + -211230?
-211114
In base 16, what is c18 + 6?
c1e
In base 9, what is 1241 + -63?
1167
In base 6, what is 213 - 224?
-11
In base 3, what is -21102010202 - -112?
-21102010020
In base 10, what is 5888 - -1?
5889
In base 8, what is 414 - 530?
-114
In base 14, what is 17 + -4a7?
-490
In base 3, what is -2 + 200021202?
200021200
In base 4, what is -10031021013 + 1?
-10031021012
In base 10, what is -529 + 2?
-527
In base 14, what is 120 - 1b06?
-19c6
In base 5, what is 240 - -1040144?
1040434
In base 11, what is -729 + -217?
-945
In base 2, what is -101 - -1010000010011011?
1010000010010110
In base 9, what is -2 + 56107?
56105
In base 4, what is -33203 - -30220?
-2323
In base 16, what is ca + -31e?
-254
In base 10, what is -512354 + -1?
-512355
In base 12, what is -2444 - -b3?
-2351
In base 15, what is -ce73 - -1?
-ce72
In base 16, what is 4 + -a12?
-a0e
In base 5, what is 10403324 + -3?
10403321
In base 5, what is -1113001 - 0?
-1113001
In base 13, what is 80 + 279?
329
In base 16, what is -be1 + 9?
-bd8
In base 8, what is 1173237 + -5?
1173232
In base 4, what is -31 - 133300?
-133331
In base 7, what is -6221 + 5421?
-500
In base 11, what is 3 + 1a9a6?
1a9a9
In base 5, what is 4342 + 312?
10204
In base 2, what is -11 + -1101000100011?
-1101000100110
In base 11, what is -9742 - -146?
-95a7
In base 10, what is -2 + -1030?
-1032
In base 15, what is 8 - -577d2?
577da
In base 11, what is 385510 - -1?
385511
In base 15, what is 1ee + -ba?
134
In base 9, what is -7017 - 0?
-7017
In base 2, what is 101 - 100011110110001?
-100011110101100
In base 14, what is 105a4 - 41?
10563
In base 6, what is 200032 + -5?
200023
In base 12, what is 592 + 316?
8a8
In base 9, what is 2476 + 2327?
4814
In base 16, what is 979 + d0?
a49
In base 13, what is 7399 + 0?
7399
In base 14, what is 10 + 18a93?
18aa3
In base 10, what is 1557 + 25?
1582
In base 15, what is -9 - -268b?
2682
In base 9, what is 733 + -714?
18
In base 2,
|
{
"pile_set_name": "DM Mathematics"
}
|
1 (e) -5
b
Which is the seventh biggest value? (a) -0.4 (b) -52 (c) 2/149 (d) -2/11 (e) -4 (f) -2/97 (g) 1
b
What is the fourth smallest value in -34.73, 0.4, 1/4, 6032?
6032
Which is the third biggest value? (a) -4/3 (b) -0.5 (c) -1.65 (d) 3/8 (e) 1/3 (f) -5 (g) -7
b
What is the fourth smallest value in -1, -0.12, 0, -0.1, -76?
-0.1
Which is the third smallest value? (a) -2.2 (b) -0.6 (c) -18 (d) -5 (e) -473
d
Which is the second biggest value? (a) 0.01 (b) 22/113 (c) 0.0011
a
What is the smallest value in 2, -2/21, -2/299, -2, 1, -826, 5?
-826
What is the sixth smallest value in -5, 363, 4/9, -1/11, 0, 1.1, 2/11?
1.1
What is the third biggest value in 4, -0.3, -6/7, -452.88?
-6/7
What is the third smallest value in -4/3, 90, -71, 1/3, 0.4?
1/3
What is the smallest value in -5, -1, 5, -0.02563, 2.8, 1/2?
-5
Which is the fourth biggest value? (a) 3/5 (b) 1/6 (c) 9/7 (d) 0 (e) 6/271
e
Which is the fourth smallest value? (a) 1.128 (b) 0.1 (c) 3 (d) -2476
c
Which is the second biggest value? (a) 30 (b) 3/31 (c) 2/13 (d) 20 (e) 4 (f) 5
d
Which is the third smallest value? (a) 0.428 (b) -0.52 (c) -19 (d) -5
b
Which is the second biggest value? (a) -0.29 (b) 1/4 (c) 1 (d) -7 (e) 2.4
c
Which is the fourth biggest value? (a) -3/104 (b) 5 (c) -2/11 (d) 0.18 (e) 4 (f) 0.1 (g) -0.1484
f
What is the biggest value in 5450012, 0.1, 0.3?
5450012
What is the smallest value in 1/8272, 3, -0.23, -0.8, -5?
-5
Which is the second biggest value? (a) 7547 (b) 2/37 (c) -1/11 (d) -2/9
b
What is the fourth biggest value in 4, -0.4, -3/1567, 14/3, 2?
-3/1567
What is the second smallest value in -3, -21, -1/927533?
-3
Which is the biggest value? (a) -0.4 (b) -31 (c) 215 (d) 5/31
c
Which is the second smallest value? (a) -95113 (b) -2 (c) 14 (d) 1/5
b
Which is the fourth smallest value? (a) -1/9 (b) 321 (c) -53425 (d) 5
b
What is the fourth smallest value in -10/9, -5, 0.4, -44934, 4, -1/2?
-1/2
What is the third biggest value in -2, -3228120, -12?
-3228120
Which is the sixth biggest value? (a) -0.2 (b) 0.2 (c) -4 (d) 0.754 (e) -3/7 (f) -1 (g) 15
f
Which is the fifth biggest value? (a) 1 (b) -12 (c) 3 (d) -2/7 (e) 0 (f) -1047
b
What is the second smallest value in 1340/11, 3, 55/2, 7.3, -4?
3
Which is the biggest value? (a) -317/2 (b) -4179 (c) -4
c
What is the second smallest value in -11857/930, 3/4, 2.1?
3/4
What is the third biggest value in -1890, 0.3, 0.977?
-1890
Which is the fourth biggest value? (a) -4/7 (b) -74256 (c) -5/18 (d) 4
b
What is the sixth smallest value in -954, -0.3, -119, -7, -5, -2/81, -4?
-0.3
What is the third smallest value in 0, 1/11427, -214, -18?
0
What is the smallest value in -1, -78914, -5, -2?
-78914
What is the fourth biggest value in -98, -18, -0.05, 1.8, 8/5?
-18
What is the second smallest value in -18.6, -2/9, -4516, 2?
-18.6
What is the third smallest value in -26, 3.83, 15/124, 3?
3
Which is the biggest value? (a) -0.342 (b) -5 (c) -3439
a
What is the smallest value in 1, -57.8, -6/217, 2/9, -2/7, 2/5, 5?
-57.8
What is the third smallest value in -0.3, -13/7, -0.2, 3, 2, 159?
-0.2
Which is the third biggest value? (a) -1/6 (b) 2 (c) -23 (d) -4 (e) 5 (f) -0.15
f
Which is the third biggest value? (a) -588 (b) -0.2 (c) -4372
c
Which is the second biggest value? (a) -1/5 (b) 0.2 (c) -15596/37 (d) 2.4
b
What is the sixth smallest value in -0.05, 3, -0.03, -5, -4/3, 1, -230?
1
What is the fifth biggest value in -1/2, 3/7, -0.115, 1/4, -74?
-74
What is the third smallest value in -14003, -1/5, -0.5, 27/8?
-1/5
Which is the second smallest value? (a) -4 (b) 6 (c) -5541542
a
Which is the fourth biggest value? (a) -6/23 (b) 0.1873 (c) 2 (d) -926
d
Which is the fourth smallest value? (a) -1/43 (b) -6.58 (c) -2/7 (d) 3 (e) 4 (f) -5 (g) -1/2
c
What is the third smallest value in 12311, 13, -12/11?
12311
What is the fifth biggest value in -16/33, -4, -12/95, 5, 1?
-4
Which is the smallest value? (a) -2/3 (b) -11 (c) 3/14 (d) -0.2 (e) 2/11 (f) -67 (g) -4
f
Which is the third smallest value? (a) -3 (b) 2/5 (c) -0.3 (d) 7 (e) -37/5 (f) -3/4
f
What is the third biggest value in 0.2264, -17, 5, -0.2, -4/5, -3, 2/13?
2/13
What is the second biggest value in 7, 10/3, -2/120541?
10/3
Which is the third smallest value? (a) 10908 (b) -0.43 (c) 74
a
What is the fourth biggest value in -1/3, 8481, 2/5, 0.5, 0.24?
0.24
Which is the smallest value? (a) 2694/7 (b) -78/7 (c) -3
b
What is the second smallest value in -325, -46, 1109?
-46
What is the fifth smallest value in -0.1, -1.5, -2, -9, 1391?
1391
What is the second smallest value in 8, 29, 7253, -13, -1/8?
-1/8
What is the sixth biggest value in 3/5, -2/11, 5/46, 1.57, -2, 0.4?
-2
Which is the second biggest value? (a) 2/39 (b) -265 (c) 2/7 (d) 1.55 (e) 2/5 (f) -1/4 (g) 2/11
e
What is the second biggest value in -5, -1/38, -49.03, 0?
-1/38
Which is the second smallest value? (a) 5448 (b) 2/7 (c) -2/343
b
Which is the fourth smallest value? (a) 6 (b) -2/9 (c) 5 (d) -43254
a
Which is the second smallest value? (a) 28 (b) -0.49 (c) -1 (d) 0.0656 (e) 2
b
What is the sixth smallest value in -4, 2, 3, 307, -58745, 0, -3?
3
Which is the second biggest value? (a) 2 (b) -2 (c) 0.0349152086
c
What is the smallest value in -0.0265, -1496, 0.1?
-1496
Which is the second biggest value? (a) 603568 (b) -1 (c) 77
c
What is the third smallest value in -1, -0.1, -3.8, 0.5, -5, -8873, 1/4?
-3.8
Which is the biggest value? (a) -0.3 (b) -67 (c) 103295
c
Which is the second smallest value? (a) 21 (b) -53631 (c) 4
c
What is the fourth smallest value in 928, -2/679, -2, 39?
928
What is the second smallest value in -4/9, 5, -105, -5, 0.5, -266?
-105
What is the biggest value in -5, -437/11, -6, 5, 0.09?
5
Which is the third smallest value? (a) -2 (b) -1/4 (c) 481 (d) 1/20 (e) 0.18 (f) 9
d
What is the fourth smallest value in 17794, 3, 4, -0.4, -0.5, -86, 0?
0
What is the second biggest value in -0.1, 3, -14, 0.0536, 465?
3
Which is the third biggest value? (a) 10/23 (b) 201 (c) -4 (d) 2/85
d
Which is the biggest value? (a) 5 (b) -256 (c) 306/89
a
Which is the fourth smallest value? (a) 37 (b) -5 (c) 3/34 (d) 2/3 (e) -7
d
Which is the third biggest value? (a) 1/11 (b) -0.5 (c) -2 (d) 67.457
b
What is the biggest value in 3/5, -2602, 3/656, 0.2?
3/5
What is the third smallest value in 40, 685925, 0.2, -2?
40
What is the second smallest value in 4, -5, -5/2, -25, 5, -1/18, -5/3?
-5
Which is the fourth smallest value? (a) 1 (b) -4679 (c) 0 (d) -46.1
a
Which is the third biggest value? (a) -5 (b) -0.3459 (c) -4 (d) 16 (e) -0.3
b
Which is the second smallest value? (a) -1.6 (b) -24/11 (c) -6/763
a
What is the smallest value in 23, -1, 1442702?
-1
Which is the biggest value? (a) -54.6 (b) 3/16679 (c) -10
b
What is the fourth smallest value in -16, -0.241, 0, 493, 2/7?
2/7
Which is the fifth biggest value? (a) -0.3 (b) 2/11 (c) -22 (d) 0.3 (e) 1448 (f) 4
a
What is the fifth smallest value in -1, 0.29, -3/4, 2/7, 785, 1/7?
0.29
Which is the fourth smallest value? (a) -2 (b) 2/27 (c) -1214 (d) -70
b
What is the smallest value in -5, -25, -72646, 0?
-72646
What is the second biggest value in -338, 47, 0, -11, 2, 3?
3
What is the second smallest value in 0.3, 24/12426289, -0.5, 0.5?
24/12426289
Which is the second smallest value? (a) 9/4 (b) 3/8 (c) -8772 (d) 4 (e) 1/4
e
What is the third smallest value in -1.347789, 261, -3?
261
Which is the third smallest value? (a) -1 (b) -26 (c) 0.4 (d) -1.15 (e) 4 (f) 0.1
a
What is the third biggest value in 0.1, -0.2, -119, -3/32, 8, 16?
0.1
Which is the second biggest value? (a) -0.4 (b) 5 (c) 2.86 (d) -45 (e) 22
b
What is the fourth smallest value in -4, -2/11, 8, 10/17, -31?
10/17
What is the fifth smallest value in -98, 0, 1, -0.02, -46, 3/5, 3/4?
3/5
What is the second biggest value in 2/63, 123030, -2/5?
2/63
Which is the sixth smallest value? (a) 4 (b) -7 (c) -1 (d) -3 (e) 5 (f) 828
f
Which is the fifth smallest value? (a) -126 (b) -28 (c) 82 (d) 3 (e) -0.2 (f) 2/13
d
What is the second biggest value in 315, 9433, 5/3?
315
What is the biggest value
|
{
"pile_set_name": "DM Mathematics"
}
|
sqrt(7) + sqrt(10))).
-3*sqrt(2)/5
Simplify (0 + (-1 + sqrt(1584) + 3 - sqrt(1584)) + sqrt(1584)*1 + 0)**2 - -6*(4 + -1 + sqrt(1584) + sqrt(1584) + sqrt(1584) - 3*(sqrt(1584) + 1))**2.
48*sqrt(11) + 1588
Simplify -4*(4 + sqrt(63) - 3*sqrt(21)/sqrt(3))*-4*-5*2.
-640
Simplify ((-4*(sqrt(448) + (sqrt(448) + sqrt(448) + (sqrt(448)*-1 - sqrt(448)) - sqrt(448))))/(3*(sqrt(1764) - sqrt(4)))*-6)**2.
0
Simplify (sqrt(45)/(sqrt(75)*-3))/(4*(sqrt(270)/sqrt(10))/sqrt(9)).
-sqrt(5)/60
Simplify ((0 + (2 + (sqrt(448) - (-1 + sqrt(448) + -3)) - -1*1*sqrt(448)*-4))*-4)**2.
-6144*sqrt(7) + 115264
Simplify -6*(-4 + (2 + sqrt(432))**2) + (2*(-2 + sqrt(432) + -5))**2 + -4.
-960*sqrt(3) - 672
Simplify (5*(-4*(sqrt(128) + sqrt(32) - sqrt(32)))/sqrt(8))/(3*sqrt(98)*2*5).
-4*sqrt(2)/21
Simplify -6*(0 + -2 + (4*6*-1*(-2 + sqrt(300)))**2).
-1050612 + 138240*sqrt(3)
Simplify -5 + 4 + ((6*(-1 + sqrt(176))*-5)**2 - (2 + sqrt(176) + (0 + sqrt(176))**2*3)).
-7204*sqrt(11) + 158769
Simplify (-1*(5 + 4 + 0 + sqrt(176)))**2 + (-3*(-2 + sqrt(176)*-1)*4)**2.
2376*sqrt(11) + 26177
Simplify (-1*sqrt(3300) - sqrt(396)/(sqrt(12)*-1))/(sqrt(15)/sqrt(125) + (sqrt(3) - sqrt(1176)/sqrt(8))).
45*sqrt(11)/29
Simplify 6*(-5 + 4 + (1*sqrt(288) - sqrt(288)) + (sqrt(288) - (sqrt(288) + 1)) + 5).
18
Simplify (sqrt(120)/sqrt(96))/(sqrt(4) + sqrt(144))*1 - (((sqrt(880) + sqrt(55))/sqrt(11)*-3)**2 + 5*(-1 + sqrt(245))**2).
-2355 + 1961*sqrt(5)/28
Simplify ((-1*sqrt(72)*-3)/(sqrt(48)/(sqrt(192) + sqrt(12))))/((sqrt(48) + sqrt(5808)*2)/(-4*-1*sqrt(8))).
60*sqrt(3)/23
Simplify (-4*sqrt(528)*2)/(sqrt(48)/sqrt(4)*-3) - 1*(-1*(sqrt(2156) + 1*sqrt(2156)) + sqrt(2156))**2.
-2156 + 16*sqrt(11)/3
Simplify 2*3*(0 + sqrt(117))**2 + (-1*(1*sqrt(117) + 1))**2.
6*sqrt(13) + 820
Simplify (-2*1*sqrt(1215) + sqrt(1215)*1*-4)/(5*sqrt(192) + -1*sqrt(18)/sqrt(6)).
-18*sqrt(5)/13
Simplify ((-5 + sqrt(196)/((sqrt(7)*1 + sqrt(7) + sqrt(7))*6) + 5)*1 + -4)**2.
-8*sqrt(7)/9 + 1303/81
Simplify (((sqrt(228) - 2*sqrt(228))*2)/((sqrt(300) + sqrt(12))*1) + 2 + sqrt(684) + sqrt(684) + -1 + sqrt(684) + -5 + -5)**2.
-318*sqrt(19) + 54100/9
Simplify ((5*sqrt(3456)*-3 + sqrt(3456))/(sqrt(72)/(2*sqrt(9)) - sqrt(40)/(sqrt(10)/sqrt(2))) + 5)*-1.
-336*sqrt(3) - 5
Simplify (sqrt(80) + sqrt(80) + sqrt(80)*-2 + 3 + (-2*sqrt(80)*-2 - sqrt(80)) + 3 + 2 + sqrt(80) + -1 + sqrt(80))**2 + -2.
280*sqrt(5) + 2047
Simplify -2 + -4*4*-2*(sqrt(440)/sqrt(128))/sqrt(11) + 3.
1 + 8*sqrt(5)
Simplify ((-1 + -5*3*6*sqrt(343)*1*6)*3)**2.
68040*sqrt(7) + 900169209
Simplify -5*(3 + -4*(-3 + 3*sqrt(304)*-2 - ((sqrt(304) + sqrt(304)*2 + -1)*-1)**2)).
-54815
Simplify (-1 + -2 + (sqrt(425) - (sqrt(425)*-2 - sqrt(425)) - sqrt(425)) + 1 + 3*(-5 + (sqrt(425) + -1)*4))**2*-6.
-578796 + 26100*sqrt(17)
Simplify (-5*((sqrt(102) - (sqrt(102) + sqrt(102) + -2*sqrt(102)) - sqrt(102))*-5 - (2*sqrt(102) + sqrt(102))*5))/(sqrt(54)/(-2*sqrt(144))*-2).
300*sqrt(17)
Simplify (-2*(sqrt(204) + sqrt(204)*2 + sqrt(204)))/(sqrt(972)*-1) - ((6*-2*sqrt(833))**2 - (sqrt(833)*-1 + 4)).
-119948 - 55*sqrt(17)/9
Simplify ((sqrt(68) + -5 + sqrt(68))**2 - sqrt(68)) + sqrt(85)/sqrt(720) + (sqrt(187)/(sqrt(99)*3))**2 + 5.
-503*sqrt(17)/12 + 24479/81
Simplify -5*((sqrt(117) + (sqrt(117) - -2*sqrt(117) - sqrt(117) - sqrt(117))*-4)**2 + (-1 + sqrt(117) + 1)**2) - (-3 + 1*sqrt(1053)*-3)*2.
-5844 + 54*sqrt(13)
Simplify (-6*(-6*2*sqrt(84) + (sqrt(84)*1*-3 - sqrt(84))))/((sqrt(12) - (-5*sqrt(972) - sqrt(12))) + sqrt(48)*-5).
96*sqrt(7)/37
Simplify (-1 + sqrt(1200) + -2 + sqrt(1200) + sqrt(1200) + -2 + 5*(-6*(sqrt(3) + 2) + 5))**2.
-2400*sqrt(3) + 4300
Simplify sqrt(13)*3 + -1 - (sqrt(1573)*-1)**2 - ((sqrt(65) + sqrt(65) + -1*sqrt(65)*-5 - sqrt(65)) + sqrt(65))/(sqrt(5) - -4*sqrt(5)*1).
-1574 + 8*sqrt(13)/5
Simplify (-5*(-2 + (2*sqrt(800)*2 + (sqrt(800) + -1)*1 - (sqrt(800) + 0 + 3)*5)))**2.
8100
Simplify ((-5 + 4 + 2*(sqrt(200) - (sqrt(200) + 1) - sqrt(200) - sqrt(200))*1 + -5)**2 + 4)*1.
640*sqrt(2) + 3268
Simplify (sqrt(77) + (sqrt(77) - 3*sqrt(77)*2))/(sqrt(1331) - (sqrt(1331)*-3 + sqrt(1331))) + -2 + (-1 + -2*sqrt(700) - (sqrt(700) + 0 + 0)**2).
-703 - 664*sqrt(7)/33
Simplify (((sqrt(77) - 3*2*sqrt(77))*-6)/(sqrt(70)/((sqrt(250) - sqrt(10))*2)))**2 + 1.
633601
Simplify 5*1*(sqrt(120)*4 - sqrt(60)/sqrt(2)*5)/(sqrt(6) + sqrt(42)/(sqrt(14)/sqrt(2)) - 6*sqrt(6)*1).
-15*sqrt(5)/4
Simplify -3*(1 + -1*(-2 + -2*sqrt(242) + sqrt(242))*-5 + -2 + 2)**2.
-18393 - 2970*sqrt(2)
Simplify (((sqrt(2100) + sqrt(2100)*-1)*-5)/((sqrt(1470)*-2 - sqrt(1470))/sqrt(10)))**2.
0
Simplify (-4*(-6*(4 + sqrt(8) + -5) - (sqrt(200) + -2 - (-1 + (sqrt(2) + 0 - sqrt(2))))))**2.
-4928*sqrt(2) + 16272
Simplify ((5 + sqrt(4212) + -2 - (-1 + sqrt(4212))*3)*6*-3)**2*5.
-699840*sqrt(13) + 27352080
Simplify 3*(-6*(((-2 + -1 + sqrt(320))*2 - (-5 + sqrt(320) + (sqrt(320) + 0)*-5)) + 4))**2.
31104*sqrt(5) + 1245132
Simplify 5*(-4*-3*sqrt(77)*-1)/((sqrt(11) - sqrt(44))*4 - -2*sqrt(891)).
-30*sqrt(7)/7
Simplify (2*(sqrt(204) + -1*sqrt(204) + sqrt(204))/sqrt(6)*3)/(sqrt(450) - (sqrt(450) + (sqrt(450) - (sqrt(450) + (sqrt(450) - sqrt(450)*-1))*-4) + sqrt(450))).
-sqrt(17)/35
Simplify ((1*sqrt(130)*4)/(sqrt(80)/(sqrt(8)*1)) + (-5 + -1 + sqrt(117) - (4 + (sqrt(117) - -2*sqrt(117)))))**2.
40*sqrt(13) + 152
Simplify (((-4 + 1*sqrt(363))*2 + 1*(sqrt(363) - (sqrt(363) - (sqrt(363) + -1)))*-6)*4 + 5)**2 + -4.
1056*sqrt(3) + 92933
Simplify ((sqrt(95) - 5*(sqrt(95) - 2*sqrt(95)))/(sqrt(40)/sqrt(32)))**2 - ((sqrt(114) + 2*sqrt(114))*-3)/(sqrt(18)/sqrt(3)*5).
9*sqrt(19)/5 + 2736
Simplify -2*(4*sqrt(2500) + 5*sqrt(175)/sqrt(7))/((1*sqrt(1260))/(-4*sqrt(21)/sqrt(3))).
60*sqrt(5)
Simplify (sqrt(90)/sqrt(3)*3 + -3*sqrt(1080))/(sqrt(480)/sqrt(3) + sqrt(20)/sqrt(50)).
-25*sqrt(3)/7
Simplify -6*((sqrt(34) - sqrt(850)*2)*-2)/((sqrt(6) + sqrt(6) + (sqrt(6) - ((sqrt(6) - sqrt(18)/sqrt(3))*6 + sqrt(6))))/sqrt(3))*-3.
162*sqrt(17)
Simplify ((sqrt(363) - (-1 + sqrt(363))) + 1 + 0 + -1)**2 + (-5*(sqrt(363)*3 + sqrt(363)) + sqrt(363) + sqrt(363) + -1*sqrt(363) + sqrt(363) + -4)**2 + -3.
1584*sqrt(3) + 117626
Simplify (-6*(sqrt(153) - (sqrt(153) - sqrt(153)*-1)) + sqrt(153) + 4*(-2*sqrt(153) - sqrt(153) - sqrt(153) - sqrt(153)))/((sqrt(90)*-5*-5)/sqrt(10)).
-13*sqrt(17)/25
Simplify ((1*sqrt(540))/(sqrt(768)/sqrt(8)))/((sqrt(640) + (sqrt(640) - 2*sqrt(640)) + sqrt(640))/(sqrt(32)*5)).
15*sqrt(2)/8
Simplify (((sqrt(80)*-2 - sqrt(5)) + sqrt(5) + 4 + sqrt(125) + sqrt(5))**2 - sqrt(25)/(sqrt(30)/(sqrt(6) - sqrt(6)*-1)))*-6 + 2.
-214 + 108*sqrt(5)
Simplify ((-5 + 0 + sqrt(252) + sqrt(252) - (sqrt(252) - (sqrt(252) - (sqrt(252) + 0)*-2))) + 3*(sqrt(1260)*-2 - sqrt(1260))/sqrt(5))**2.
300*sqrt(7) + 6325
Simplify ((6*(sqrt(171) - (4*sqrt(171) - sqrt(171))) - sqrt(171))*1*3)/(5*sqrt(54)/sqrt(6) + sqrt(54)/(sqrt(6) + sqrt(216))).
-91*sqrt(19)/12
Simplify 2 + 2*(sqrt(1100) + (sqrt(1100) + 5 + -2 - sqrt(1100)) - -3*3*sqrt(1100))**2*1.
1200*sqrt(11) + 220020
Simplify (1*(2*((sqrt(228) - -2*sqrt(228) - sqrt(228) - sqrt(228)) + sqrt(228)) + 2*1*sqrt(228)))/(-4*sqrt(48) - -4*sqrt(588)).
3*sqrt(19)/10
Simplify (-5*6*(sqrt(704) + -1 + sqrt(704))*-4*-4 + 2)**2 + 1.
-7403520*sqrt(11) + 649038725
Simplify 5 + (-3*sqrt(1700)*1 + 0 + sqrt(1700) + -2 + (sqrt(1700) + 0 + sqrt(1700))*-1*3)**2 + -5.
320*sqrt(17) + 108804
Simplify (6*(sqrt(400) - (sqrt(400) - (sqrt(400) + -2*sqrt(400)*-4 + sqrt(400))) - sqrt(400)))/(sqrt(432)/sqrt(6) + (sqrt(8) - sqrt(72)/sqrt(9))*5).
90*sqrt(2)
Simplify (sqrt(252)*1 + 3)**2 + 5 + -1 + (((sqrt(42) - (3*sqrt(462))/sqrt(11)) + sqrt(42))/sqrt(6))**2 + 0.
36*sqrt(7) + 272
Simplify ((sqrt(78) + 3*sqrt(78))*3*3)/(3*sqrt(6)*3 + sqrt(12)/sqrt(2)*-2).
36*sqrt(13)/7
Simplify ((0 + sqrt(2299) + -5 - 4*(sqrt(19) + 2)*-2) + 5)**2*-3.
-21345 - 1824*sqrt(19)
Simplify ((5*sqrt(133)*1)/(6*(sqrt(7) - (sqrt(7) - (sqrt(7) + -2*sqrt(7))))) - (sqrt(114)*1*-2 + sqrt(114))/(sqrt(60)/(sqrt(40)/sqrt(4))))*-5.
-5*sqrt(19)/6
Simplify -3 + -3 + (-4*(sqrt(576) - (sqrt(576) + sqrt(576)*2 + sqrt(576))))/(sqrt(33)/(sqrt(704)*2 - sqrt(704))).
-6 + 768*sqrt(3)
Simplify ((sqrt(126) + sqrt(126)*1)/sqrt(3)*-6*-4)/(-1*sqrt(6)*-2 + (sqrt(66) - sqrt(66)*-3)/sqrt(11)).
8*sqrt(7)
Simplify -4*(-2*(sqrt(39)/sqrt(3))**2 + 4) - (5*(2 + sqrt(1573)) - (-1 + sqrt(1573))**2*2).
-99*sqrt(13) + 3226
Simplify 5 +
|
{
"pile_set_name": "DM Mathematics"
}
|
x**4 + 4*x**3 + 31339*x**2 + 99 wrt x?
-842391768*x + 24
What is the second derivative of -45820*a**4 - 364*a**3 - 2*a**2 - 101215099*a wrt a?
-549840*a**2 - 2184*a - 4
What is the second derivative of 123867997*s**2 + 81392*s - 88?
247735994
What is the first derivative of -570253299*x**3 - 23081394 wrt x?
-1710759897*x**2
Find the second derivative of -15040810*n**2*o**3 + 9*n*o**3 + 270*n*o**2 + 370*n*o + 2*n - o wrt n.
-30081620*o**3
Find the second derivative of 24524999*l**2 + 77480766*l wrt l.
49049998
Find the third derivative of 4*b*i*m**3 - 241875*b*i*m**2 + 3*b*i*m - 112*i*m**3 - 4*i - 4086*m**3 wrt m.
24*b*i - 672*i - 24516
What is the first derivative of -2*r**4 + r**3 + 44924*r**2 + 2*r + 22993511?
-8*r**3 + 3*r**2 + 89848*r + 2
Find the third derivative of 925271*l**2*m**3 - 2*l**2*m**2 - 8*l**2*m + l*m**3 + 2*l*m**2 - 1157*m**2 wrt m.
5551626*l**2 + 6*l
What is the second derivative of 3667293*j**2*w - 11321*j*w + 98*w wrt j?
7334586*w
What is the first derivative of -5825872*z - 8905230 wrt z?
-5825872
Differentiate -7*h**2*u - 2*h**2 + 880*h*u - 78*h - 104*u - 39144 wrt u.
-7*h**2 + 880*h - 104
Differentiate 580*b**3 - 718*b**2 + 5*b + 15998223 with respect to b.
1740*b**2 - 1436*b + 5
Differentiate -358533237*c**3*y - 247541904*c**3 with respect to y.
-358533237*c**3
Differentiate 207*g**4 - 40*g**3 - g**2 + 2*g + 23201057.
828*g**3 - 120*g**2 - 2*g + 2
Find the third derivative of -5*d**5*p + 11586833*d**4*p + 589*d**2*p - 11*d**2 + 18*d*p + 4*d - 1 wrt d.
-300*d**2*p + 278083992*d*p
What is the third derivative of 6285309*q**6 - 2*q**2 - 15756958*q wrt q?
754237080*q**3
What is the derivative of -17*k**4 + k**3 + 45*k**2 - 9*k - 17452294?
-68*k**3 + 3*k**2 + 90*k - 9
What is the third derivative of 170066303*a**5*j - 16200*a**2*j - a**2 - 85*a*j + a + 3 wrt a?
10203978180*a**2*j
What is the second derivative of 432732192*k**2*u + 12*k*u - 2007*k - u + 557 wrt k?
865464384*u
Find the second derivative of -2505*j**4 - 52*j**3 - 22*j**2 - 35*j - 109149 wrt j.
-30060*j**2 - 312*j - 44
Differentiate -82518625*p + 1550053.
-82518625
What is the second derivative of 43*b**2*f**3*h + 30*b**2*f**3 - 46*b**2*h**3 + 2*b*f**3*h**3 + 2*b*f**2 - 5*f**3 + 295511*f*h**3 wrt b?
86*f**3*h + 60*f**3 - 92*h**3
What is the second derivative of 12007758*b**3 + 19103104*b wrt b?
72046548*b
Find the second derivative of 173670989*x**2 + 53117610*x.
347341978
What is the third derivative of 9990801*u**3 - 16820129*u**2?
59944806
Find the first derivative of 5681*z**3 + 1651*z**2 + 235051515 wrt z.
17043*z**2 + 3302*z
What is the first derivative of 2650068*m**2 + 5335889 wrt m?
5300136*m
Find the third derivative of -34753028*u**3*v**3 - 2*u**2*v**3 + 2*u**2*v + 5*u*v + 17822*v**3 wrt u.
-208518168*v**3
Find the second derivative of -926*a**2*g*t - 11961*a**2*t + 1719*a*g*t + 2*a*g + 507*a*t + 2*g*t + 2 wrt a.
-1852*g*t - 23922*t
Differentiate 189120751*d**3*l**2 + 123981693*l**2 wrt d.
567362253*d**2*l**2
What is the third derivative of h**4 + 6705126*h**3 - 2*h**2 - 1823517 wrt h?
24*h + 40230756
What is the third derivative of -6278937*r**3 - 33727*r**2 - 111*r?
-37673622
Find the third derivative of -16485971*i**5*j - 2*i**5 - 5212931*i**2*j + 2*j wrt i.
-989158260*i**2*j - 120*i**2
What is the third derivative of -m**5 + 135720*m**4 - 6*m**3 - 14434465*m**2 + 15*m wrt m?
-60*m**2 + 3257280*m - 36
What is the second derivative of 16252985*a*v**2 - 105*a*v + 2919*a + 2*v + 13 wrt v?
32505970*a
Find the second derivative of -94*d**4 + 6*d**3 + 3618*d**2 + d + 21714795.
-1128*d**2 + 36*d + 7236
Find the third derivative of -86823639*k**3 - 94*k**2 + 41*k - 492 wrt k.
-520941834
What is the first derivative of -150188710*p**2 - 74626756?
-300377420*p
Differentiate 3*h**2*t - 2039*h**2 - 856902*h*t - 4253*h - 7 with respect to t.
3*h**2 - 856902*h
What is the second derivative of 24*z**4 - 4196704*z**3 + 123953926*z wrt z?
288*z**2 - 25180224*z
What is the second derivative of 10*d**4*s + 17*d**3*s + 45751*d**2*s + d + 23903*s - 6038 wrt d?
120*d**2*s + 102*d*s + 91502*s
Find the second derivative of 5169*k**2*u*y**2 + 14402*k**2*u + 2*k**2 + 2*k*u*y + 12*k*y**3 - k + 9*u*y**3 + 2*y wrt y.
10338*k**2*u + 72*k*y + 54*u*y
Differentiate 77550*n**2 - 156*n + 39890738 with respect to n.
155100*n - 156
Differentiate 1459393*k**2 - 8468920 with respect to k.
2918786*k
Find the second derivative of -12552578*k**2*t**2 + 22*k**2*t + 190*k**2 + 27*k - 4 wrt t.
-25105156*k**2
What is the second derivative of -318*c**3*w - 1826*c**3 + c*w - 220*c + 114*w - 4 wrt c?
-1908*c*w - 10956*c
Differentiate -w**4 - 1692270*w**2 + 2*w - 63248247.
-4*w**3 - 3384540*w + 2
Differentiate -1251718*a**2 - 17*a - 106655562 wrt a.
-2503436*a - 17
What is the first derivative of 18259825*v + 36347454 wrt v?
18259825
Find the second derivative of 744727*q**3 + 28*q**2 + 53711293*q wrt q.
4468362*q + 56
What is the third derivative of -63*f**4*j - 64834*f**3*j**3 + f**2*j**3 + 10287*f**2 - 253 wrt f?
-1512*f*j - 389004*j**3
What is the second derivative of -11*m**3 + 188823*m**2 - 355738*m - 1?
-66*m + 377646
What is the derivative of -80098564*k**2*l + 38429573*k**2 wrt l?
-80098564*k**2
Find the third derivative of -9314290*p**4 + 1373934*p**2 + 2*p.
-223542960*p
Find the third derivative of 11900620*k**5 - 53486206*k**2.
714037200*k**2
Differentiate -z**4 - 6399856*z**3 - 323395002 wrt z.
-4*z**3 - 19199568*z**2
What is the third derivative of 87330218*h*p**3 - 76*h*p**2 - h*p - 344*h - 2*p**2 - 9*p - 9 wrt p?
523981308*h
What is the third derivative of 1147286*k**3*x + 2*k**3 - 8*k**2*x - 1056*k**2 + 18*k*x + 10*x wrt k?
6883716*x + 12
Differentiate -336831913*d**2 + 297744082 with respect to d.
-673663826*d
Find the third derivative of 558508349*g*i**3 - g*i + 9501*i**2 + 3180*i wrt i.
3351050094*g
What is the first derivative of 6893*r**4 + 860*r - 5961001 wrt r?
27572*r**3 + 860
What is the second derivative of -133*y**4 - 31*y**3 - 7242*y**2 - 524327093*y?
-1596*y**2 - 186*y - 14484
What is the derivative of 10335*k**4 + 911*k**3 - 26662298?
41340*k**3 + 2733*k**2
Find the third derivative of -2365342*k*s**3 - 1142*k*s - 15*s**2 + 11 wrt s.
-14192052*k
Differentiate -26*d**3*t - 22532*d**3 + 215757*d**2*t**2 - 5337*d**2 wrt t.
-26*d**3 + 431514*d**2*t
What is the third derivative of 26*v**5 + 150463*v**3 - 38164*v**2 + 30*v - 3?
1560*v**2 + 902778
What is the first derivative of 69247872*x**2 + 81351645?
138495744*x
Differentiate 9520*i**4 - 9421*i**3*j - 2662031*j + 77 with respect to i.
38080*i**3 - 28263*i**2*j
What is the derivative of 27671586*m*o + 1081*m + 821 wrt o?
27671586*m
Find the first derivative of -745*d**4 + 5*d**2 + 15*d - 10336436 wrt d.
-2980*d**3 + 10*d + 15
Differentiate 100*c*d - 40909*c - 18730471*d wrt c.
100*d - 40909
What is the third derivative of -378423851*w**3 + 445849387*w**2 wrt w?
-2270543106
What is the second derivative of -2*t**5*z**3 + 39446321*t**5 + 6*t*z**3 + 10*t*z + 299*t + 179*z**3 - 3*z wrt t?
-40*t**3*z**3 + 788926420*t**3
Find the second derivative of 11678701*h**2 + 56372978*h.
23357402
Find the third derivative of 422*h*r**2*w**3 - 3*h*r*w**3 + 381*h*w**2 - 323*h*w - r**2 - 1692*w**4 wrt w.
2532*h*r**2 - 18*h*r - 40608*w
Find the third derivative of -81245932*k**6 + 139*k**2 - 3146*k - 6.
-9749511840*k**3
Find the second derivative of b**2*z + 62818869*b**2 + 2*b*z - 47*b - 2*z + 38660 wrt b.
2*z + 125637738
What is the second derivative of -366450982*x**3 + 37*x + 278339?
-2198705892*x
What is the first derivative of -180772*y**4 + 834*y**2 + 342240449 wrt y?
-723088*y**3 + 1668*y
Find the second derivative of -58257451*m**3 + 14104889*m wrt m.
-349544706*m
Differentiate 6191806*h*x - 920149*h wrt x.
6191806*h
Differentiate 21118876*k + 56829340.
21118876
Find the second derivative of -2*t**3*z**2 + 3*t**3*z - 2608*t**2*z**2 - 18*t**2*z - 16*t*z**2 + 34*t*z - 2*z - 484 wrt z.
-4*t**3 - 5216*t**2 - 32*t
What is the derivative of -408547*j**2*r + 2*j**2 - j*r + 2*j - 34059304*r wrt j?
-817094*j*r + 4*j - r + 2
Find the second derivative of -127954245*q**4 - 14*q - 3193075.
-1535450940*q**2
What is the third derivative of -25466156*g**3*r**3 - g**3*r**2 + 24*g**3 + 4*g**2 - 9*g*r**3 - 2600*g*r + 7 wrt r?
-152796936*g**3 -
|
{
"pile_set_name": "DM Mathematics"
}
|
19 - 2/7).
408
Suppose -8 = -2*o - 4*m + 44, -3*m + 47 = 2*o. Suppose 2*h - 10 = 14. What is the smallest common multiple of 5*(-7)/((-70)/h) and o?
48
Suppose -2*l + 4*l - 32 = 0. What is the lowest common multiple of l and 18?
144
Find the common denominator of 3*(-3)/(-12) - (-392)/(-144) and 77/36.
36
Suppose -2*l - z + 29 = -17, -3*z + 96 = 4*l. What is the lowest common multiple of 4 and (l/(-6) - -3)*-22?
44
Let g be 7/((-7)/9518) - 3. Let o = g - -57001/6. What is the common denominator of 18/5 and o?
30
Let i = -2158 + 8535/4. What is the common denominator of -27/4 and i?
4
Let x = -287963/16 + 17992. Let p = -1 + 1. Find the common denominator of p - 1/(4/3) and x.
16
Find the common denominator of -89/2 and -1 + (2 - 46/3).
6
Let h = 7135 + -57001/8. Find the common denominator of h and 4/6 - 164/120.
40
Let a = -281/531 + 5/59. What is the common denominator of a and -33/2?
18
Let u(a) = 20*a + 5. Let h be u(5). Let b = -10 + 4. What is the common denominator of (-2)/(-6) - h/b and -83/2?
6
Let b = 39 + -29. Calculate the least common multiple of b and 1.
10
Suppose 0 = 4*x + x + 15, -5*x + 3 = 2*p. Let n = -5 + p. Calculate the least common multiple of n and (-2 - -1)/(-1)*1.
4
Let s = -694 + 705. Suppose 5*k - 10 = 0, 2*k - 39 = -5*m - 0*k. What is the least common multiple of s and m?
77
Let h = -9 + 5. Find the common denominator of h/(-16) + (-21)/(-18) and -19/12.
12
Suppose -y + 7 = t, -4*t + 25 = 3*y - 3*t. Let s be -14*1/(-1 + -1). Let q = 11 - s. Calculate the lowest common multiple of q and y.
36
Let q = -38/29 + -872/87. Find the common denominator of q and 48.
3
Let g(b) = 2*b - 10. Let i be g(7). Let m be (9/(-300))/(42/i). Let p = m - 1899/350. Find the common denominator of p and -5/9.
63
Let a = 5533/7 + -794. Find the common denominator of a and (15/(-18))/(2/(-21)).
28
Let q = 35 + -41. Find the common denominator of q and -1/39.
39
Let y = -62 + 497/8. Find the common denominator of y and ((51/(-8))/(-17))/((-5)/4).
40
Let x(k) be the first derivative of k**3/3 - 5*k**2 - 21*k - 2. Calculate the lowest common multiple of x(12) and 2 + 0*2/4.
6
Let b = -2 + 1. Let x be b + -2*(-1)/(-2). What is the common denominator of 25/(-30) - (-2)/x and -47/2?
6
Suppose 12 + 4 = 2*c. Calculate the least common multiple of c and 3.
24
Let s be 62 + -2 - (-4)/2. Let d = s - 26. Suppose 0 = 3*j - 12 - d. What is the least common multiple of 8 and j?
16
Let v = 13/22 - -3/88. Let i = -1/3347 - 180733/16735. What is the common denominator of v and i?
40
Let b = 7 + -11. Calculate the common denominator of (-30)/(b/((-4)/(-7))) and 489/108 - (-6)/27.
28
Let r = 12447/5 + -2499. Suppose 3*i + 7106 = -5*z, 296 = -z - i - 1124. Let u = 2791/2 + z. Calculate the common denominator of u and r.
10
Let z = 3/874 + -40213/2622. Find the common denominator of z and 48/7.
21
Let g(l) = -l + 16. Let r = -12 - -23. Let t be g(r). Suppose 2*c = x + 5*c - 15, -5*x + t*c = -15. Calculate the lowest common multiple of x and 8.
24
Suppose 0 = -5*h + 20, z - 2*h + 6 + 1 = 0. Let u be z - 61 - -1*1. Let m = -39 - u. What is the smallest common multiple of 22 and m?
220
Let t be 0 - (0 - (-1 + 2)). Let g = 131 - 88. Suppose g = 4*n + l, t = -3*l - 2. What is the smallest common multiple of 9 and n?
99
Suppose -11*h = -8*h - 18. What is the smallest common multiple of h and 10?
30
What is the lowest common multiple of 10 and -4*(3 - 15/4)?
30
Let t(y) be the second derivative of -y - 1/20*y**5 + 0 + 4*y**2 + 7/6*y**3 + 1/2*y**4. What is the smallest common multiple of 5 and t(7)?
40
Suppose -44 = -3*j + 4*o, -60 = -5*j + o + 36. Calculate the lowest common multiple of 4 and j.
20
Let x = 176/95 - 15529/2280. Let q = -3415 - -20567/6. Calculate the common denominator of q and x.
24
Let s = -12/13 - -3077/52. Let k = -58 + s. Let y = -80713/10 + 8064. What is the common denominator of y and k?
20
Let a be (-2)/6 + 40/12. Suppose 0 = -g - 3, 0 = -a*q - 3*g - 20 + 74. Suppose q = h + 5. What is the least common multiple of h and 18?
144
Let b be (-1)/(2/16) - 2. Let m = -8 - -6. Calculate the common denominator of m and (8 - 0)/(b/11).
5
Suppose w = k - 14, -6 = -4*k - w + 25. Calculate the lowest common multiple of k and 9.
9
Find the common denominator of ((-65)/7)/(54/63) and -61/8.
24
Let b be (-2)/3*(-9)/6. What is the common denominator of (-19 - (-2 + 0))/12 and 0 - (-158)/(-44) - b?
132
Suppose -4*n - 3*z = -228, -2*n - z + 112 = -0*z. Calculate the lowest common multiple of -4 - (n/3)/(-3) and 4.
4
Let q = 44533 + -2137715/48. Calculate the common denominator of -73/24 and q.
48
Suppose 84 = 4*d + 4*s, -2*s - 52 = -4*d + 56. Let k = d + -7. Calculate the lowest common multiple of 10 and k.
90
Suppose -5*b - h = -10*b - 22656, -4*b - 18122 = 2*h. Let k = b + 2969. Find the common denominator of k/(-180) - 2/5 and 139/12.
36
Let f be ((-85)/(-3))/(2/17). Let n = f - 242. Find the common denominator of 10/7 and n.
42
Suppose 3 = 5*w - 2. Suppose w - 3 = -q. Suppose -2*r + 4*z + 16 = 0, 5*r + 2*z - 62 = z. What is the least common multiple of r and q?
12
Let o = 4 + -1. Let u(q) = -1 + 0*q**3 + 0*q**3 + q**o - q**2 - q + 4*q**2. What is the least common multiple of 16 and u(-3)?
16
Let k = -255/2 - -371/3. What is the common denominator of 48/13 and k?
78
Find the common denominator of 10/4*(108/8 + -4) and -89/16.
16
Suppose y = 6 - 1. Calculate the smallest common multiple of 8 and y.
40
Let t(n) = -3*n + 33. Let j(d) = d - 11. Let a(p) = -7*j(p) - 2*t(p). What is the least common multiple of 4 and a(6)?
20
Let u(h) = 7*h**3 + h**2 - 3*h - 2. Let k(v) = -v**3. Let d(o) = -6*k(o) - u(o). Let x be d(-3). Calculate the common denominator of x*(-1 - (-6)/9) and -56/9.
9
Let a = 135 - 257. Find the common denominator of -56/11 and a/(-60) + (-8)/(-12).
110
Let j(l) = 5*l**2 + 3*l - 4. Let u be 2 - 1/3*0. Suppose -u = -f + 4. Calculate the smallest common multiple of j(-2) and f.
30
Let b = -1332793763/18 + 74063408. Let s = 19315 - b. What is the common denominator of s and 1/14?
126
Let w be (3 - 4)/((-2)/8). Suppose -w*t - t + 15 = 0. Suppose t*g + 3 + 3 = 0, 4*g = -2*k - 2. What is the smallest common multiple of 8 and k?
24
Let j(t) = -t**3 + 3*t**2 + 4*t - 6. Let i be j(5). Calculate the smallest common multiple of 89/4 + 9/i and 14.
154
Let x = -20 - -11. Let g = 15 + x. What is the lowest common multiple of g and (22/(-5))/(1/(-5))?
66
Let x = -50867/10 - -5076. Calculate the common denominator of x and -65/12.
60
Suppose 5*g - 3*g + 184 = 0. Find the common denominator of 3 + (-3)/((-6)/(-20)) and -2 - g/6 - 1.
3
Suppose 4*y + 5*g = -0*g + 22, 3*y - 4*g = 1. Suppose -4*d - 18 = y*b, -3*b + 0 = -6. What is the smallest common multiple of 8 and 2/(d/4 + 2)?
8
Let m = -36 + 9. Let a = m - -49. What is the lowest common multiple of a and 16?
176
Suppose 4*q = -q - 180. Let t be (q - (2 + 0))/(-1). Suppose 2 = 2*r - t. What is the least common multiple of r and 16?
80
Suppose -4*q = -9*q + 10. Suppose y + t = -t, -20 = -q*y + t. What is the smallest common multiple of 4 and y?
8
Let a(c) = -c - 1. Let o be a(-5). Suppose o*i - 15 = 3*u, 4*u - 1 = 4*i - 13. What is the least common multiple of i and 3?
6
Let k = 116757/20 + -5839. Calculate the common denominator of k and -59/20.
20
Suppose -5*d + 10 + 10 = 0. Suppose -5*f = -2*o - 193, -d*o - 112 = -3*f + o. Calculate the common denominator of -99/10 and f.
10
Let k(l) = -l**2 + 2*l + 5. Let m be k(4). Let s be (-23)/(-4) + 2/8. Calculate the common denominator of 53/6 and 34/7 + m/s.
42
Suppose -2*j + 315 = 3*j + 5*p, -295 = -5*j - p. Suppose 3*z = 4*i + 5*z - j, 2*i = -4*z + 32. Calculate the smallest common multiple of i and 20.
140
Let l be (-404)/7 + (-6)/21. What is the least common multiple of l/(-10) + (-1)/(-5) and (-3)/2*2/(-1)?
6
What is the common denominator of (6/(-4))/(312/793) and 7/6?
48
What is the common denominator of (-1)/27*-11*9/6 and -79/12?
36
What is the least common multiple of (-10 - -4)*3/(-9) and 7*-1*-1 + 1?
8
What is the common denominator of -1/14 and 5/(25/(-110)) - 1/2?
14
Let f = 2034 + -4157/2. Calculate the common denominator of f and 79/10.
10
Let z = -584 - -1819/3. Calculate the common denominator of -17/6 and z.
6
Let b = -14 + 2. Let x = b + 20. Calcul
|
{
"pile_set_name": "DM Mathematics"
}
|
the first derivative of -1/2*r**2 + r - 1/4*r**4 - 5/3*r**3 + 1. Let z = -39 - -34. What is w(z)?
6
Let t = 13 + -6. Let z(o) = 5*o**2 + 11. Suppose 0*m + 25 = 5*m - 4*s, m - s - 5 = 0. Let q(w) = -4*w**2 - w - 10. Let p(r) = m*z(r) + 6*q(r). Determine p(t).
2
Let u(v) be the first derivative of -48 - 3*v + 3/2*v**2. Give u(4).
9
Suppose 12*b - 58 = -10. Let w(u) be the second derivative of u**2 + 1/3*u**b + 1/2*u**3 + 1/20*u**5 + 0 + 6*u. Determine w(-3).
2
Let s be -4 - (-10)/3 - (-34)/6. Suppose -3*y = -x - 11, -4*y + 11 = -s. Let w(b) = 6*b**3 - b. What is w(x)?
5
Suppose 190 = 3*f + 4*q, -2*f - 4*q + 260 = 2*f. Suppose 5*l + 4*h + h = f, 3*h + 42 = 3*l. Let d(s) = s**2 - 12*s - 20. Give d(l).
8
Let t(u) = u**2 - 3*u. Suppose 2*n + 5*m = 21, -4*m = 4*n - 6*n - 6. Let b = 3 + -3. Suppose y - w = -b*w + 9, 5*y + n*w - 5 = 0. What is t(y)?
4
Let m(r) be the third derivative of -r**6/120 + r**5/15 + r**4/12 - r**3 - 58*r**2. Determine m(4).
2
Let p(n) = -4*n - 13. Let g be p(-2). Let j(z) = 4*z**2 + 14*z - 6. Let k(y) = y**2 + y. Let q(d) = g*k(d) + j(d). Give q(7).
8
Let h = -10 - -9. Let v(n) = 5*n. Let w(r) be the second derivative of -r**3/6 + 6*r. Let s(b) = -v(b) - 4*w(b). What is s(h)?
1
Let f(p) = p - 2. Let a be 80/24*(-42)/4. Let i = 32 + a. Determine f(i).
-5
Suppose 13*g = 18*g - 10. Let t(n) = -g + 0 + 2*n - n. Calculate t(0).
-2
Let x(m) be the third derivative of m**6/120 + m**5/20 - m**4/8 + 2*m**3/3 + m**2. Let d be (1/3)/(183/(-1647)). Determine x(d).
13
Let o = 11 + 7. Let r be (24/o)/((-2)/(-9)). Suppose 4*k - 3*l = 10, -3*k + r*l - l + 2 = 0. Let s(y) = 2*y - 3. Calculate s(k).
5
Let w be (0 + 2)/(2/3). Suppose 0 = -3*i + 5*g - g - 17, w*g = -3. Let p(o) = -o**3 - 6*o**2 + 7*o + 5. What is p(i)?
5
Let b(i) = -3 - i - 2*i - i. Suppose -5*w - 44 = -3*z - 53, 5*w + 12 = -4*z. Give b(z).
9
Let c = 16 + -11. Let w(i) be the first derivative of i - 2 + 2 - 2 - c*i**2. Give w(-1).
11
Let o(z) = -4*z**2 + z + 2. Let b(x) = x**2 - 1. Let v be 5 - (0 - -2 - -2). Let l(w) = v*o(w) + 5*b(w). Determine l(0).
-3
Let i(c) = -4*c - 1. Let x(y) = y. Let w(k) = -i(k) - 5*x(k). Let t = -36 - -59. Let o = t - 15. Give w(o).
-7
Suppose 5*d - 12 - 3 = 0. Let n(l) = l + 7. Let c be n(-6). Let q(u) = 24*u**3 - 23*u**3 + 2 + u - 3*u**2 - c. What is q(d)?
4
Suppose 0 = -6*q + 2*q + 8. Let c be 42/3 + 2 + q. Let f(v) = -8 - c*v - 2 + 16*v. Give f(-7).
4
Let d = 159 + -155. Suppose 0 = -3*m + 4*b - b + 12, 0 = -4*m - 4*b + 8. Let z(p) = 3 - p**2 - 4*p**2 - 6 + p**m + 6*p. Determine z(d).
5
Let b(z) = -16 - 6*z - z**2 + 7 - 7*z + 4*z. Let g be b(-8). Let q(w) = 17*w**2 + 2*w + 1. Determine q(g).
16
Let k(r) = -7*r**2 + 7*r + 32. Let h(n) = -11*n**2 + 11*n + 48. Let x(v) = -5*h(v) + 8*k(v). Suppose 4*t = 5*u + 10, t - 3 = 5*u + 7. Determine x(t).
16
Let o(s) be the second derivative of s**3/2 - 7*s**2/2 - 53*s + 2. Determine o(4).
5
Let h(z) = 49*z - 12. Let l(s) = -78*s + 18. Let i(q) = -8*h(q) - 5*l(q). Determine i(3).
0
Let i = -10 + 12. Let x(l) = -i*l**2 - 3*l - 2 - 1 + 6 + l**3. Let q be x(3). Let s(n) = 3*n + 4. What is s(q)?
13
Let y(n) = 9*n + 3. Let j(m) = m**2 - 2*m - 37. Let r be j(-5). Calculate y(r).
-15
Let w(y) be the first derivative of y**3/3 - 7*y**2/2 - y + 48. Determine w(5).
-11
Let a(p) = 22*p**2 - 8*p - 13. Let h(c) = 5*c**2 - 2*c - 3. Let v(o) = 2*a(o) - 9*h(o). Let i(b) = b**2 + b + 3. Let y be i(0). What is v(y)?
-2
Let y(g) = -g**2 - g + 4. Let f be y(-3). Let a(k) = k**3 - k - 1. Let h(z) = -3*z**3 - 6*z**2 + 2*z - 1. Let d(m) = f*a(m) - h(m). Calculate d(-6).
3
Let t(k) = -5*k + 121. Let s be t(24). Let i(z) = 24*z - 1. Give i(s).
23
Let k(q) be the first derivative of q**2 + q + 1. Let i be (-6)/14 - 24/(-56) - 1. What is k(i)?
-1
Let b(n) = n**3 + 5*n**2 - 5*n + 8. Suppose 0 = -6*k + 155 + 43. Let x = 27 - k. What is b(x)?
2
Let i = 28 - 14. Let c = 13 - i. Let f(o) be the first derivative of o**4/2 - o**3/3 - o**2 - o - 1. Calculate f(c).
-2
Let t(q) be the first derivative of -7*q**2/2 - 22*q + 211. What is t(-4)?
6
Let n(c) = 48*c**3 + 2*c**2 + 2*c + 1. Let q be (2/(-4))/(24/48). Determine n(q).
-47
Let r(b) = -b**2 - 4*b. Let p be r(-3). Let f(d) = p*d**2 + 8*d + 3*d**2 - 7*d. Determine f(1).
7
Let t(r) = r**2 + 2*r - 10. Let x(z) = -z**2 - 2*z - 2. Let f be x(-3). Let w be t(f). Let j(g) = g - 4. Determine j(w).
1
Let y(m) = 7*m**2 + 2*m - 1. Let p be y(-1). Suppose 0 = -3*d - p*d + 49. Let u(k) = -k**3 + 6*k**2 + 5*k + 7. Calculate u(d).
-7
Let n(d) = -3*d**2 + 3. Let k(q) = -10*q**2 + q + 12. Let h(f) = -k(f) + 3*n(f). What is h(-4)?
17
Let r be ((3 - -2) + 1)*1. Suppose 15 = 6*d - 15. Let z(n) = -n**2 + d*n**2 + 4 - r*n**2 + n**2 + 6*n. Calculate z(6).
4
Let g(m) = -m**2 - 4*m - 3. Suppose -3*a = -3, -5*a - 12 = -5*z - 2*a. Let w(n) = 7 + n - z + 6. Let r be w(-12). What is g(r)?
1
Let p(s) = -s**2 - 7*s + 6. Suppose -18*r = -6*r + 96. Give p(r).
-2
Let v be (33/154*7)/(1/(-2)). Let q(h) = 6*h**3 - 9*h**2 + 11*h + 5. Let i(k) = -k**3 + 2*k**2 - 2*k - 1. Let u(n) = 11*i(n) + 2*q(n). What is u(v)?
8
Suppose 18*m - 652 = 14. Let g = m - 32. Let h(k) = -k**2 + 5*k - 4. Give h(g).
-4
Let m(o) = -4*o - 4. Let l be 11/33*(0 - -36). Let g = l - 9. Let v(b) = -b. Let j be v(g). Determine m(j).
8
Let t(w) = -7*w + 18. Let l(x) = x**3 - 5*x**2 + 42*x - 148. Let r be l(4). Determine t(r).
-10
Let i(g) = -g**2 - 2*g - 3. Let u = 58 - 71. Let r(q) = -5*q - 67. Let f be r(u). Determine i(f).
-3
Suppose 25*l - 33 = -8. Let t(f) = -10*f**3 - f + 0 - 1 + 3*f. Calculate t(l).
-9
Let n = 120 - 96. Let j be 12/9*(-9)/(-6). Let g(a) = 17*a**3 - 2 + 5*a**j - 42*a**3 - 2*a + n*a**3. Give g(5).
-12
Let p be 0*1/(1*-2). Let s = p + -5. Let w(c) = c - 100 + 291 - 93 - 93. What is w(s)?
0
Let g(p) = -5*p**2 + p. Let o(w) = w**2 + w. Let t = 52 - 51. Let j(c) = t*g(c) + 6*o(c). Let i = 10 - 16. Determine j(i).
-6
Let j(h) = h - 1. Suppose 0*u = -4*u - 5*c - 4, 0 = -4*u - 4*c. Give j(u).
3
Suppose 0 = 7*j - 55 + 13. Suppose 0 = 54*w - 60*w - j. Let l(u) = u + 2. Calculate l(w).
1
Let p(q) = -q**3 - 4*q**2 + 3. Let k(i) = 25*i - 154. Let u be k(6). What is p(u)?
3
Let o(a) = -a**3 - 16*a**2 - 2*a - 12. Let s(d) = -d**3 - 14*d**2 - 2*d - 10. Let p(k) = -4*o(k) + 5*s(k). Let j = 9 - 15. Calculate p(j).
10
Let b be (2 - 0)/((-3)/(-3)). Let k(i) = 6*i**2 - 6*i - 4*i**2 - 4 + 3 - i**b. Determine k(4).
-9
Let r(j) = -21*j - 2. Let t be r(1). Let s = 22 + t. Let a(p) = -2*p**3 - 2*p**2 - p. Calculate a(s).
1
Let w(i) be the first derivative of i**4/4 - 2*i**3/3 + i**2/2 + 35. Let j be 20/15 + (-2)/(-3). Give w(j).
2
Suppose 5*d + 19 = p, -10 = -2*p - 4*d - 0. Let i(z) = p*z - 9*z - z. What is i(-1)?
1
Let o(w) = 8*w + 6. Let d(m) = -23*m - 17. Suppose -29 = f - 12. Let u(g) = f*o(g) - 6*d(g). Give u(-1).
-2
Let x(w) = -w**2 - 1. Let m(r) = r**3 + 10*r**2 - 8*r + 9. Let v(b) = -m(b) - 3*x(b). Suppose 1262*q + 32 = 1258*q. Calculate v(q).
-6
Let d(l) = 5*l**2 + 2*l - 3. Let f be (-315)/(-168) - (-1)/8. Calculate d(f).
21
Suppose -v - 5 = -4*f - 20, v + 5*f = -21. Let i(d) = -28*d**2 + 2*d + 1. Calculate i(v).
-29
Let h(p) = p - 2. Let q(w) = w**2 - 1. Let v(s) = -s**3 - 4*s**2 - 3*s - 23. Let r(d) = 4*q(d) - v(d). Let k be r(-8). Give h(k).
-7
Let o(t) = -8*t - 3. Let c(f) be the first derivative of f**3/3 - 2*f**2 - 7*f + 8. Let z be c(5). Give o(z).
13
Let z(b) be the third derivative of b**4/24 - 2*b**3 + 41*b**2. What is z(8)?
-4
Let f(p) = 10*p**2 + 103*p - 6. Let b(g) = 3*g**2 + 31*g - 2. Let j(k) = -7*b(k) + 2*f(k). Give j(-9).
20
Let s = 1310 - 1313. Let v(p) = -4*p + 11. What is v(s)?
23
Let x(o) = 21 + 29 - 4*o + 26 - 80. Determine x(5).
-24
Let j(f) = -5*f**2 + 3*f**3 - 4*f**3 - 820 - 5*f + 822. Suppose 0 = 2*r + 4 + 4. What is j(r)?
6
Suppose g + 5*l = -15, 2*g + 3*g = -3*l - 9. Let n(k) = k**3 - k**2 + 11. Determine n(g).
11
Suppose -13*p + 123 = -7. Let u(n) = n - 13. Determine u(p).
-3
Let z(d) = 74287 - 74287 + 11*d. What is z(-1)?
-11
Let c be 2/(-6) - 1/((-30)/70). Let d(g) = -g**3 + 4*g**2 + 5*g - 9. Calculate d(c).
9
Let a(t) = -3*t - 19. Let l = 458 + -464. Determine a(l).
-1
Let x = 432 - 445. Let a(s) = -s**2 - 14*s - 8. Determine a(x).
5
Let o(u) = 6*u - 3. Let n(s) = -3*s + 1. Let z(x) = -7*n(x) - 4*o(x). Suppose 5*l - 4*
|
{
"pile_set_name": "DM Mathematics"
}
|
-6
Calculate ((-255)/(-12))/17*(-248)/155.
-2
Evaluate 3/(-70)*1528/1146.
-2/35
Calculate ((-34)/(-102))/(24/(-936)).
-13
(-12)/96*6*-4
3
Evaluate 5*-2*5/150*33.
-11
Evaluate (176/132)/(24/162).
9
Evaluate ((-48)/72)/((-20)/42).
7/5
(5/(-26))/((-1305)/3132)
6/13
Evaluate (-40)/(-24)*(-972)/(-2700).
3/5
Evaluate 12*((-7)/(147/(-6)))/(12/(-28)).
-8
What is the value of 24*28/1120*1*1*-15?
-9
What is the value of ((-1540)/1848)/((-15)/2)?
1/9
What is the value of 18/(810/(-85))*-3?
17/3
Calculate ((-270)/(-1440))/(1/(-2)).
-3/8
Calculate 174/290*2/(-9).
-2/15
(27/(-6))/(75/100)
-6
Calculate (((-560)/(-21))/(-8))/2.
-5/3
What is ((-102)/136)/((-9)/24)?
2
Calculate 13/(-1)*22/396*-18.
13
(((-19)/(-38))/(2/(-5)))/(25/10)
-1/2
(24/33)/((-4)/(-66))
12
Evaluate ((-150)/21)/10*(-560)/20.
20
(-166)/1162*8*1/(-2)*-1
-4/7
What is 60/(-96)*(-28)/105?
1/6
Calculate 42*(22/66)/(14/12).
12
What is the value of (20/12)/(26/156)?
10
Evaluate ((-4)/(-10))/(360/(-13500)).
-15
What is (0/23)/(1/2*3*2)?
0
Calculate 1/(42/315*(30/(-8))/3).
-6
What is (3/(-15))/(4*8/(1440/27))?
-1/3
Calculate (105/(-175))/((-1)/5)*27/(-270).
-3/10
Evaluate 5/(-12*10/40).
-5/3
What is 2/(8/(-1))*-40*(-6)/(-15)?
4
((-2)/760)/((-43)/(-2408)*-7)
2/95
What is (((-2)/10)/(2/(-12)))/(54/20)?
4/9
What is (3/(-36))/(663/408)?
-2/39
What is the value of 45/((-6)/4*(-72)/(-36))?
-15
What is (-70)/(-6)*(-192)/(-1344)*(-8)/10?
-4/3
What is (408/(-5168))/(12/(-57))?
3/8
(-1)/(18/24)*(-462)/(-44)
-14
Calculate ((-26)/(-3))/(6*5/(-15))*-3.
13
What is (3/(-14))/((-104)/(-208))?
-3/7
What is the value of 1083/(-361)*6/9?
-2
What is the value of (12/252)/(((-20)/(-7))/5)?
1/12
What is the value of (8/102)/(3/((-180)/(-40)))?
2/17
What is the value of ((-2)/12)/((-477)/(-106))*(-18)/15?
2/45
What is the value of (94/235)/(18*-2*(-1)/(-4))?
-2/45
Evaluate 32/32*2*(-4)/(-16)*-6.
-3
Evaluate (40/(-6)*63/(-175)*-5)/2.
-6
What is (10/(-13))/((-17)/884*4)?
10
What is (0*47/987)/(-1)?
0
((-6)/(-9))/((520/870)/(-26))
-29
What is the value of (6/20)/((-6)/30*210/(-56))?
2/5
What is ((3483/108)/(-43))/(15/8)?
-2/5
Calculate ((-3)/9)/((-352)/(-22176)).
-21
What is the value of (172/129)/((-12)/15*(-5)/(-27))?
-9
What is ((21/14)/((-81)/(-18)))/(3/(-270))?
-30
What is (((-1444)/(-171))/(-38))/(125/45)?
-2/25
Calculate ((-14)/(-56))/(78/48).
2/13
What is the value of ((-10)/((-1080)/18))/(1/42)?
7
What is the value of (-19)/(-57)*7*1/84?
1/36
What is 6*3/((-540)/4)?
-2/15
Calculate ((-276)/(-621))/(2/(1/1)).
2/9
Calculate ((-2)/8*-1*4)/((-20)/5).
-1/4
Calculate 26/(-26)*10/(-110).
1/11
What is the value of (-4)/(-20)*80/104?
2/13
What is (-6)/(-7)*5943/(-2547)?
-2
What is ((64/80)/((-4)/30))/(1/1)?
-6
What is (49/7)/(64/(-192))?
-21
Evaluate 1/((-45)/255)*3/(-1).
17
Evaluate (6/(-26))/1*16*(-17)/(-816).
-1/13
What is the value of ((-12)/7)/(-1*39/364)?
16
((-4)/(-12))/(110/33)
1/10
What is (-460)/(-690)*-6*3/(-16)?
3/4
((-23)/(-253))/((-1)/11)
-1
What is ((-3)/5*-1)/(901/(-4505))?
-3
Calculate (-1)/(-1)*(1440/(-260))/(-36).
2/13
9/((-3)/7*679/194)
-6
Calculate (-15)/36*(-86)/(-602)*(-14)/(-10).
-1/12
(1/((-1)/1))/((-12)/756*-7)
-9
What is (8*(-2)/2)/(72/72)?
-8
((-35)/(-21))/(16*27/1296)
5
Evaluate 6/4*10120/(-1380).
-11
Evaluate (-3*(-16)/720)/(21/18).
2/35
What is (-8)/(-3)*(-132)/((-2024)/(-46))?
-8
(5*((-36)/(-3))/(-24))/((-3)/4)
10/3
Evaluate (16/12)/((-384)/432).
-3/2
What is (1038/(-692))/((30/14)/((-12)/189))?
2/45
20*3*8/4*24/(-360)
-8
What is the value of (14/7)/((2/12)/(21/18))?
14
Evaluate (-12)/336*-21*4.
3
What is the value of 6/(150/(-5))*5?
-1
What is the value of (-60)/(-55)*(-6)/(72/(-66))?
6
What is the value of (((-24)/4)/(-3))/2*1/7?
1/7
What is (14/14)/(45/(-210)*1/(-3))?
14
Evaluate ((-11)/((-550)/(-20)))/((-1)/25).
10
What is (187/(-935))/((18/4)/((-5)/(-2)))?
-1/9
Evaluate (-5416)/169250*10/(-4).
2/25
150/30*(-12)/84
-5/7
What is ((-340)/289)/(5/((-255)/18))?
10/3
(1015/1624)/((-30)/2*5/(-20))
1/6
Evaluate (-2)/(-6)*0*(-7)/21.
0
((-8)/(-12))/((-111)/(-2664))
16
Calculate (595/(-238))/((-15)/102).
17
Evaluate (-2*495/(-36))/(170/(-136)).
-22
What is 63792/(-1329)*1/(-6)?
8
What is the value of (-4*(-2)/20)/(5247/(-495))?
-2/53
Calculate (1/1)/((-3)/(-66)*-2).
-11
What is ((-20)/304*-19)/((-1)/16)?
-20
What is the value of ((-6)/9)/((-66)/(-594))?
-6
Calculate ((7/(-189))/((-6)/54))/((-2)/48).
-8
Evaluate ((-34)/8)/(730/2920).
-17
Calculate ((-8)/42)/((-142)/(-1491)).
-2
Calculate -15*(99/(-11))/45.
3
What is ((-32560)/(-22))/74*2/(-10)?
-4
What is (40/2)/(4/(6/(-3)))?
-10
Calculate 5/((-25)/135)*3/(45/5).
-9
((-15)/(-2)*21/(-105))/((-24)/(-2))
-1/8
Evaluate 1/((-204)/374)*1.
-11/6
((-42)/(-8))/((-2)/6*(-2637)/(-586))
-7/2
What is (-16*(-25)/(-6300))/((-12)/(-14))?
-2/27
Evaluate (3*1)/(400/(-1200)).
-9
Evaluate (1452/24)/(429/156).
22
What is (24/22)/((-16)/264*3)?
-6
What is the value of 5*3*(-1071)/595?
-27
What is (((-284)/(-3479))/(2/14))/((-50)/(-7))?
2/25
(-24*12/168*1)/(1/7)
-12
What is (-156)/52*((-48)/(-4))/4?
-9
Calculate (-4)/(-42)*3*-6.
-12/7
Calculate (1600/640)/((-10)/(-148)).
37
Calculate ((-2)/(34/(-255)))/(((-63)/(-6))/(-7)).
-10
Calculate (20/(980/21))/(18/28).
2/3
What is (((-3)/20)/(317/7608))/((-14)/10)?
18/7
Evaluate (84/38)/((-218)/(-2071)).
21
Calculate 98*106/(-1113)*9/30.
-14/5
(2/(-4))/(96/1024*-16)
1/3
Calculate 10/(64/48*-2*(-15)/(-40)).
-10
(35/147)/((-933)/(-2177))
5/9
What is (-2)/(20/840*7)?
-12
Evaluate 1300/65*(-4)/(-5).
16
Calculate (25/(-4))/((-38)/(-152)).
-25
((-51)/(-187)*11)/(-16)
-3/16
Evaluate (-288)/64*4/2.
-9
Calculate (-3*(-4)/24*6)/((-18)/60).
-10
What is ((-52)/4)/(1/(-1))?
13
Calculate ((252/(-35))/(-4))/((-1)/20*-3).
12
What is (4/4)/((-33)/(-132))?
4
Calculate ((-441)/28)/21*(28*-9)/9.
21
What is (-224)/40*2430/567?
-24
Evaluate 3/16*384/144.
1/2
Calculate (-70)/15*99/(-132)*1/(-1).
-7/2
Evaluate ((-1020)/66)/(-17)*11/(-1)*-1.
10
Evaluate (-6)/9*(32/(-14))/((-480)/5040).
-16
((-9810)/(-15260))/(66/(-14))
-3/22
((-42)/20)/(522/(-290))*(-8)/14
-2/3
(-2)/15*243/81*18/4
-9/5
Calculate (-2)/84*2680/2010.
-2/63
Evaluate (7/(-1))/(((-436)/(-1962))/((-2)/(-3))).
-21
What is the value of (1/(-3))/((-32)/48)?
1/2
Calculate ((-9207)/5022)/((-11)/8).
4/3
What is 18/450*-5*-4*2?
8/5
What is the value of ((-4704)/980)/(3/10)?
-16
What is (-10179)/(-1885)*(-5)/(-1)?
27
Evaluate (45/(-135))/(((-2)/12*1)/(-6)).
-12
What is 23/276*-12*6/10?
-3/5
(1*(-2)/30)/((-75)/37500*80)
5/12
Calculate 1/60*-4*(-20)/8.
1/6
What is (((-9963)/108)/41)/(-1*(-3)/12)?
-9
What is 35/90*(-1179)/(-3668)?
1/8
What is (36/(-27))/((-4)/(24/(-26)))?
-4/13
Calculate 2/(-3)*840/(-350)*(-30)/112.
-3/7
Evaluate ((-42)/16)/((-12)/8)*(-968)/121.
-14
What is the value of (-306)/(-17)*90/(-108)?
-15
((-12)/(-3))/((-6)/15)
-10
Evaluate ((-64)/(-8))/(-8)*(-21)/(-14)*-8.
12
Evaluate ((1/2)/(8/((-272)/17)))/(-3).
1/3
What is the value of (-3)/(((-154)/22)/(-21))?
-9
What is 15/50*24/(-1278)*(-30)/6?
2/71
((-55)/110)/((-2)/16)
4
What is the value of ((-1)/5*(-205)/820)/((-3)/16)?
-4/15
Calculate 50/(-6)*(351/195)/(-1).
15
What is the value of (1/1)/((-1)/(9*(-6)/2322))?
1/43
What is (459/(-4488))/((-66)/176)?
3/11
((-138)/(-92))/((-3)/(-8))*(-50)/(-8)
25
1590/(-14575)*11*1
-6/5
Calculate 1*14*229/(-458).
-7
What is the value of (-6)/(-1)*347/(-19432)*(-14)/(-4)?
-3/8
((2/6)/(-1))/(-4*3/16)
4/9
Calculate 4/(-40)*2414/(-71).
17/5
Calculate (-1*(-66)/22*66/(-6))/(-3).
11
Evaluate (690/230)/(11/1).
3/11
What is the value of ((-96)/44)/(132/(-726))?
12
(38/(6536/129))/(2/(-48))
-18
(8/(-10)*1)/((-10)/(-10))
-4/5
Calculate ((2/2)/(-2))/(21/210).
-5
Calculate (-3)/(-3*1/8)*6/60.
4/5
((-6)/(-4))/((28/280)/(28/(-60)))
-7
What is the value of (-600)/700*56/(-6)?
8
What is ((-4340)/1302)/(6/(168/10))?
-28/3
Calculate 27/2*3508/(-36834).
-9/7
((-188)/(-423))/(2*(-3)/(-81))
6
((-51)/8)/17*22/66
-1/8
Calculate ((-4)/(-3))/((-4578)/(-981))*(-14)/(-24).
1/6
What is the value of (-72)/3*4/(-152)*19?
12
Calculate ((-51)/459)/(1/15).
-5/3
-12*(-45)/((-4860)/(-144))
16
Evaluate ((-1060)/(-2968))/(5/(-24)).
-12/7
What is the value of (16/42*(-7)/7)/((-118)/413)?
4/3
2/((((-1564)/(-1530))/23)/((-3)/(-5)))
27
What is 1324/2317*(-7)/(-2)?
2
Calculate (13/702*-6)/((-2)/(-4)).
-2/9
What is (-24)/(-4)*1250/300?
25
8152/
|
{
"pile_set_name": "DM Mathematics"
}
|
(base 4) to base 12
-34582
Convert 111122323 (base 4) to base 8.
253273
What is 3011014342 (base 5) in base 9?
12174741
What is -844452 (base 9) in base 14?
-d0cb9
Convert 1810199 (base 10) to base 12.
73369b
9378013 (base 10) to base 3
122122110012211
What is 352a (base 16) in base 15?
4075
What is 11112003031 (base 4) in base 5?
324313122
-1114331042 (base 5) to base 8
-11412434
What is 238252 (base 9) in base 3?
21022021202
Convert 1122333213 (base 4) to base 13.
100851
What is 6c077 (base 14) in base 9?
441440
What is 21120121010100 (base 3) in base 4?
33113023032
What is -1020340032 (base 5) in base 10?
-2121267
-670aa7 (base 11) to base 16
-105428
634c6 (base 14) to base 11
154097
What is -102000233100 (base 4) in base 11?
-2735469
-12152320 (base 7) to base 12
-445b04
30103202 (base 4) to base 8
142342
-4c9141 (base 15) to base 8
-16013015
-187511 (base 11) to base 16
-46571
Convert -12146002 (base 8) to base 10.
-2673666
What is -a4a410 (base 11) in base 8?
-6326677
-152a79 (base 12) to base 7
-3016164
-c454e0 (base 15) to base 4
-203212203321
What is -130221121 (base 4) in base 10?
-117337
Convert 711271 (base 8) to base 6.
5004041
Convert 1913764 (base 10) to base 5.
442220024
Convert -303077 (base 8) to base 11.
-69071
-241044521 (base 6) to base 15
-5e7b9d
904341 (base 10) to base 12
377419
Convert 1430437 (base 8) to base 10.
405791
Convert 199442b (base 12) to base 2.
10100101011001001100011
What is -3bff9 (base 16) in base 9?
-414088
-30201220100 (base 4) to base 6
-154213132
Convert 24377 (base 9) to base 8.
37737
-1d866 (base 15) to base 4
-113202030
534044010 (base 6) to base 14
1376b1c
Convert 13508849 (base 10) to base 14.
1b1909b
What is -1413541 (base 6) in base 9?
-131547
What is -138443 (base 9) in base 6?
-1453103
What is d36a4 (base 15) in base 13?
1a5b07
-3987e (base 15) to base 14
-4b18d
-160651414 (base 7) to base 14
-1618d44
What is 21301223202 (base 4) in base 8?
11615342
Convert 1250443 (base 6) to base 12.
33a23
-166509 (base 12) to base 6
-12123213
Convert 8ca82 (base 13) to base 4.
332222020
What is -174704 (base 16) in base 4?
-11310130010
What is -659118 (base 14) in base 2?
-1101001000110011100010
Convert -232d30 (base 15) to base 3.
-10011101000000
Convert 41927 (base 12) to base 3.
11100222011
What is -101001111010100 (base 2) in base 5?
-1141320
-1532673 (base 8) to base 4
-1223112323
Convert 2011021 (base 7) to base 10.
238057
What is -881275 (base 9) in base 10?
-525839
What is 7462187 (base 9) in base 10?
3997267
Convert 550250 (base 6) to base 2.
1011000110010110
Convert 133a72 (base 11) to base 13.
74917
Convert -a789c (base 15) to base 2.
-10000001110101101110
What is -122120120011201 (base 3) in base 16?
-8e8784
Convert -f88d4 (base 16) to base 3.
-1220201112020
What is 2011734 (base 8) in base 9?
886141
Convert -3731622 (base 8) to base 15.
-154d5a
Convert 20333330030 (base 4) to base 16.
23ff0c
2511439 (base 11) to base 12
1565b77
1461453 (base 8) to base 7
3362263
Convert -69b67 (base 14) to base 2.
-111110110110011111
-2322442424 (base 5) to base 3
-100221022011012
What is -1b975 (base 16) in base 8?
-334565
What is -23223301321 (base 4) in base 13?
-833191
-547053 (base 11) to base 4
-3111023222
Convert 234231331 (base 7) to base 12.
4a3a2a4
Convert -124053 (base 8) to base 5.
-2334201
-3104412230 (base 5) to base 12
-2150a18
Convert 18012361 (base 9) to base 6.
521452514
What is 2433558 (base 10) in base 15?
3310c3
Convert 222036 (base 12) to base 9.
1016316
Convert -20441044 (base 5) to base 9.
-281103
-242420310 (base 5) to base 4
-10112002032
950906 (base 14) to base 8
23150432
200337 (base 11) to base 13
b3a41
Convert -43445421 (base 7) to base 10.
-3725877
What is -102102002200020 (base 3) in base 12?
-2045536
54b3 (base 16) to base 2
101010010110011
Convert -20130222 (base 5) to base 15.
-32be2
3013244 (base 6) to base 10
142012
Convert 12088821 (base 9) to base 8.
26414706
-35554002 (base 6) to base 14
-211cb0
3eee4 (base 16) to base 9
432524
-11000100100100011 (base 2) to base 4
-120210203
3110130302 (base 4) to base 2
11010100011100110010
10156734 (base 9) to base 5
2222123140
Convert 79b601 (base 15) to base 2.
10110001010011000111110
What is 9a6b (base 14) in base 9?
40623
What is 15150 (base 10) in base 6?
154050
Convert -257070 (base 12) to base 3.
-1011011121010
Convert -142521 (base 6) to base 3.
-200122011
1421901 (base 12) to base 7
46135024
What is a7369 (base 13) in base 4?
1021220033
-1dcbd (base 16) to base 15
-26265
-322550555 (base 6) to base 3
-101210111111222
What is 42305156 (base 7) in base 12?
12488a8
Convert 17275a (base 11) to base 10.
267112
-43353450 (base 6) to base 12
-522886
Convert 88468 (base 11) to base 15.
28059
Convert -212001301 (base 4) to base 9.
-256587
What is 414277 (base 10) in base 5?
101224102
Convert 6b1a87 (base 14) to base 15.
4c2b7d
178bc4 (base 13) to base 14
115451
Convert 232224 (base 5) to base 14.
310b
Convert -1050002 (base 7) to base 6.
-2440132
Convert -11010111110101101111110 (base 2) to base 11.
-3aa0861
20422a1 (base 11) to base 4
31300003131
What is 10120311322 (base 4) in base 5?
243302310
Convert -26382 (base 15) to base 2.
-11101110110111001
Convert -a8937 (base 13) to base 8.
-1123161
213311514 (base 6) to base 14
710502
Convert -12001101100 (base 3) to base 15.
-1e6d3
What is -1210202000101 (base 3) in base 8?
-3521616
-111812 (base 12) to base 11
-176783
What is -2454523 (base 6) in base 3?
-20201000020
Convert -146202412 (base 7) to base 2.
-100101011000011011001100
-11511351 (base 7) to base 2
-11111011000000111010
What is 11a89 (base 11) in base 6?
211555
-765117 (base 10) to base 8
-2726275
-856064 (base 9) to base 3
-221220002011
1112112200020 (base 3) to base 10
817701
What is 105153504 (base 6) in base 15?
2813c4
-9928c8 (base 14) to base 15
-6c8bb2
Convert 20232330112 (base 4) to base 3.
11022022111201
115534 (base 7) to base 14
7a1b
What is 359645 (base 10) in base 14?
950cd
Convert -20992 (base 13) to base 10.
-58762
Convert -4459b (base 13) to base 3.
-20022002210
Convert 440444124 (base 6) to base 3.
112211010000221
Convert 6fcd47 (base 16) to base 9.
14706733
Convert 21040201 (base 6) to base 13.
185605
Convert -1130412 (base 6) to base 2.
-1110010001101000
Convert -1db6a3 (base 14) to base 16.
-104ebf
Convert 59e46 (base 16) to base 8.
1317106
Convert 110011000010101100010100 (base 2) to base 10.
13380372
Convert -32990 (base 15) to base 13.
-58251
Convert -110000100000011000000001 (base 2) to base 9.
-25830366
187829 (base 12) to base 10
428001
-1111011210202 (base 3) to base 15
-1094b8
Convert 6982226 (base 10) to base 14.
cda786
230320 (base 9) to base 3
21000100200
Convert 860596 (base 10) to base 8.
3220664
3354a7 (base 12) to base 3
1112120011001
What is 248080 (base 9) in base 11?
a2978
Convert 530711 (base 8) to base 10.
176585
What is -22101210002 (base 3) in base 5?
-20242243
What is 3302141 (base 5) in base 14?
16870
101220211210210 (base 3) to base 8
26106644
-10102022142 (base 5) to base 10
-10189047
3384075 (base 12) to base 4
211223131121
Convert -4a119 (base 11) to base 2.
-10001100101001111
What is 2a369 (base 16) in base 13?
60915
What is -49575 (base 12) in base 6?
-2043425
What is -60867c (base 13) in base 16?
-224733
Convert 202111002022212 (base 3) to base 8.
51416374
What is -23020203 (base 4) in base 2?
-1011001000100011
-3b514 (base 12) to base 7
-460633
Convert 123122244 (base 5) to base 7.
5041515
Convert 501666 (base 7) to base 15.
1a180
What is -b65d58 (base 16) in base 3?
-211111012022020
Convert -301644 (base 8) to base 14.
-28244
What is 26977a (base 11) in base 7?
3410555
Convert -dbd81 (base 15) to base 4.
-2222132320
What is -304026 (base 9) in base 2?
-101011111101110111
Convert -115363150 (base 7) to base 2.
-11011101000001100100001
What is 11000011111110 (base 2) in base 3?
122012112
What is 3edd4 (base 16) in base 2?
111110110111010100
2002333203 (base 4) to base 7
4363164
110010021121101 (base 3) to base 12
21a7b3a
-12001211221000 (base 3) to base 10
-2693601
Convert 1106315 (base 7) to base 14.
37b45
Convert -11021003010 (base 4) to base 6.
-44515420
Convert -1bc074 (base 14) to base 13.
-28a239
What is 120000211211010 (base 3) in base 16?
79e41a
-324104 (base
|
{
"pile_set_name": "DM Mathematics"
}
|
t is prob of picking 2 t and 1 m when three letters picked without replacement from tttdm?
3/10
What is prob of picking 1 c, 1 x, and 1 p when three letters picked without replacement from xcbpxxcxb?
2/21
Two letters picked without replacement from {i: 1, g: 1, q: 1, n: 1, a: 1}. What is prob of picking 1 g and 1 q?
1/10
What is prob of picking 1 d, 1 w, and 1 y when three letters picked without replacement from {w: 1, h: 2, y: 1, m: 8, z: 5, d: 3}?
1/380
Three letters picked without replacement from rrqrooqoorqrrrqq. What is prob of picking 1 q and 2 r?
3/16
What is prob of picking 2 q when two letters picked without replacement from pqq?
1/3
Calculate prob of picking 2 f when two letters picked without replacement from fxfxxx.
1/15
What is prob of picking 2 u when two letters picked without replacement from cccuxuhccuu?
6/55
Four letters picked without replacement from {f: 4, g: 5, e: 4, w: 2, k: 2}. Give prob of picking 3 f and 1 e.
4/595
What is prob of picking 2 t and 2 h when four letters picked without replacement from {r: 7, h: 2, t: 5}?
10/1001
What is prob of picking 2 c and 1 a when three letters picked without replacement from cacdaadcccccaaavaaa?
63/323
Three letters picked without replacement from crbcelg. What is prob of picking 1 g, 1 l, and 1 c?
2/35
What is prob of picking 3 w when three letters picked without replacement from {z: 7, w: 4}?
4/165
Calculate prob of picking 1 u and 1 m when two letters picked without replacement from uuummummmmuuuumu.
21/40
Calculate prob of picking 2 c and 1 p when three letters picked without replacement from {p: 1, c: 5, a: 1, v: 2, u: 1}.
1/12
What is prob of picking 2 f and 2 k when four letters picked without replacement from {e: 4, k: 6, f: 5}?
10/91
What is prob of picking 2 f when two letters picked without replacement from ffffffffff?
1
Four letters picked without replacement from wwwwwww. Give prob of picking 4 w.
1
What is prob of picking 2 u when two letters picked without replacement from uuuuquq?
10/21
Calculate prob of picking 1 u, 1 j, and 1 t when three letters picked without replacement from {u: 10, j: 3, t: 1, w: 2}.
3/56
What is prob of picking 1 x and 1 y when two letters picked without replacement from drddddyddddxidddiiil?
1/190
Three letters picked without replacement from kdvkkuejdekd. What is prob of picking 1 j and 2 k?
3/110
Two letters picked without replacement from qqiqqqqqqiqqqqi. What is prob of picking 2 q?
22/35
Four letters picked without replacement from {z: 1, n: 1, o: 7, t: 4, p: 4}. Give prob of picking 1 p and 3 o.
1/17
What is prob of picking 2 y when two letters picked without replacement from {y: 6, t: 4, n: 1, a: 5, b: 4}?
3/38
Calculate prob of picking 2 e, 1 m, and 1 n when four letters picked without replacement from nyeynnnenmnn.
7/495
Calculate prob of picking 1 t, 1 a, and 1 y when three letters picked without replacement from {a: 1, b: 1, y: 2, h: 1, v: 1, t: 1}.
2/35
Four letters picked without replacement from ntnnvnjt. Give prob of picking 3 n and 1 v.
2/35
What is prob of picking 1 e and 1 x when two letters picked without replacement from {x: 4, e: 2, b: 1, m: 1, c: 4, k: 2}?
8/91
Three letters picked without replacement from oblluoqqool. What is prob of picking 2 q and 1 b?
1/165
Four letters picked without replacement from oopopppopopoppopopoo. Give prob of picking 4 p.
14/323
What is prob of picking 1 x and 1 c when two letters picked without replacement from {j: 2, x: 5, c: 3}?
1/3
What is prob of picking 2 s when two letters picked without replacement from ssszssssssssszssssss?
153/190
Calculate prob of picking 1 z and 1 m when two letters picked without replacement from zhkvzzmhzzzhhahkhvz.
7/171
Two letters picked without replacement from {b: 1, p: 2, i: 1, h: 1}. What is prob of picking 1 p and 1 h?
1/5
Calculate prob of picking 1 s, 2 v, and 1 y when four letters picked without replacement from {y: 2, s: 1, v: 2, f: 1}.
2/15
Calculate prob of picking 2 v when two letters picked without replacement from vvv.
1
Calculate prob of picking 2 b and 2 u when four letters picked without replacement from {u: 2, a: 4, b: 2}.
1/70
Two letters picked without replacement from gooto. Give prob of picking 1 t and 1 o.
3/10
Two letters picked without replacement from uuuuxxfuxuuuxxuxuuf. What is prob of picking 2 x?
5/57
Two letters picked without replacement from {e: 1, y: 1, g: 2}. Give prob of picking 1 y and 1 g.
1/3
What is prob of picking 4 u when four letters picked without replacement from {u: 3, k: 1}?
0
Three letters picked without replacement from ckchwk. Give prob of picking 1 w and 2 k.
1/20
Calculate prob of picking 1 d and 3 i when four letters picked without replacement from {f: 1, d: 6, i: 4}.
4/55
Three letters picked without replacement from {e: 1, b: 1, t: 2, i: 1, v: 2, u: 2}. What is prob of picking 1 b, 1 v, and 1 i?
1/42
Two letters picked without replacement from {q: 1, a: 3, n: 2, h: 5, g: 1}. Give prob of picking 2 a.
1/22
Four letters picked without replacement from {x: 2, m: 12, y: 2, o: 1, q: 1}. Give prob of picking 1 o, 2 x, and 1 q.
1/3060
Four letters picked without replacement from {b: 3, g: 2, c: 1, v: 2, u: 4, p: 2}. What is prob of picking 1 p, 2 b, and 1 g?
12/1001
What is prob of picking 1 x and 2 n when three letters picked without replacement from {x: 1, n: 7}?
3/8
Calculate prob of picking 1 e and 2 a when three letters picked without replacement from eaeeaea.
12/35
Calculate prob of picking 1 e and 1 g when two letters picked without replacement from {e: 7, g: 2, t: 3}.
7/33
Four letters picked without replacement from {x: 6, f: 1, j: 1, y: 1}. What is prob of picking 3 x and 1 j?
10/63
Four letters picked without replacement from iiijijijjjiiiiiiiiii. Give prob of picking 2 j and 2 i.
70/323
Calculate prob of picking 2 h when two letters picked without replacement from {k: 6, v: 4, h: 2}.
1/66
What is prob of picking 1 t and 1 s when two letters picked without replacement from {t: 2, m: 1, s: 1, r: 3}?
2/21
Four letters picked without replacement from {a: 2, g: 1, x: 2, e: 1, c: 1, q: 1}. Give prob of picking 1 a, 1 q, and 2 x.
1/35
Calculate prob of picking 1 w and 2 i when three letters picked without replacement from {r: 1, w: 1, g: 2, i: 3, j: 7, p: 4}.
1/272
What is prob of picking 1 i, 1 t, and 2 j when four letters picked without replacement from juijtikikik?
2/165
Four letters picked without replacement from {q: 3, i: 4}. Give prob of picking 1 i and 3 q.
4/35
Four letters picked without replacement from dwcucwwdcwd. Give prob of picking 4 w.
1/330
Two letters picked without replacement from kkhhhhhhhh. Give prob of picking 2 h.
28/45
Calculate prob of picking 1 b and 3 v when four letters picked without replacement from {u: 2, v: 3, z: 3, b: 1, p: 1}.
1/210
Calculate prob of picking 1 n and 1 d when two letters picked without replacement from ddniy.
1/5
What is prob of picking 2 x when two letters picked without replacement from {v: 3, x: 2}?
1/10
Three letters picked without replacement from cycybcbycybccby. Give prob of picking 2 y and 1 b.
8/91
Four letters picked without replacement from {o: 2, c: 9, e: 7}. What is prob of picking 4 e?
7/612
Two letters picked without replacement from {p: 9, f: 9}. Give prob of picking 1 f and 1 p.
9/17
Four letters picked without replacement from ttcctoctottto. Give prob of picking 3 c and 1 o.
3/715
Three letters picked without replacement from {j: 4, w: 2, r: 5, u: 4}. What is prob of picking 2 w and 1 u?
4/455
Two letters picked without replacement from yappyppi. What is prob of picking 1 p and 1 a?
1/7
Three letters picked without replacement from {i: 1, s: 1, v: 2, l: 1}. What is prob of picking 2 i and 1 v?
0
Calculate prob of picking 2 o when two letters picked without replacement from {b: 6, e: 1, a: 4, o: 2}.
1/78
What is prob of picking 3 a and 1 f when four letters picked without replacement from aagaafaaa?
5/18
Two letters picked without replacement from {h: 3, q: 3, u: 2, z: 5}. What is prob of picking 1 z and 1 u?
5/39
Calculate prob of picking 1 d and 1 f when two letters picked without replacement from fdd.
2/3
Calculate prob of picking 4 z when four letters picked without replacement from zczczzzzcczczzzzzzz.
1001/3876
Two letters
|
{
"pile_set_name": "DM Mathematics"
}
|
be 42/189 - 10708/(-9). Let m = c + -743. Does 16 divide m?
False
Let z(f) = 2*f**2 + 98*f + 156. Does 10 divide z(-103)?
True
Suppose 0 = 4*d + i - 6355 + 392, -i = -2*d + 2989. Is (d/20)/((-4)/(-20)) a multiple of 76?
False
Let r = 6418 - 3275. Is r a multiple of 52?
False
Suppose 0 = 15*j - 7 - 38. Suppose 0 = -11*b - j*b + 476. Is 11 a factor of b?
False
Let z be (18/4)/((-18)/24). Let d(i) = -2*i**3 - 7*i**2 + 15*i + 6. Does 16 divide d(z)?
True
Let v(y) = 79*y**2 + 3*y - 18. Let n be v(-5). Let p = -1060 + n. Suppose -2*h - 16*h + p = 0. Is h a multiple of 9?
False
Suppose -2 = -2*h - 76. Let t = h + 34. Let f(r) = 4*r**2 + r + 5. Is 19 a factor of f(t)?
True
Suppose -6*c + 353 = 4157. Let t = 1110 + c. Is t a multiple of 14?
True
Let k = 17375 + -17040. Is k a multiple of 5?
True
Let w(u) = u**3 - 7*u**2 - 2*u - 6. Let r be w(-6). Let z = -299 - r. Is (-20)/15 - z/(-3) a multiple of 5?
False
Let n be -2 - -5 - (-1 + 337). Is (-4)/3 - 248196/n a multiple of 13?
False
Let c be ((-3)/(-5) - 18/(-20))*4. Does 29 divide (212/c)/(30/225)?
False
Let m = -16909 + 32379. Is m a multiple of 220?
False
Let m be -9 + 14 - (1 + 2). Suppose 5*z + 21 = u, 0 = -5*u - 0*u - m*z + 51. Suppose 41 = 2*w - u. Does 13 divide w?
True
Suppose -5*b + 0*b - 4090 = 0. Let d be (b/(-10))/((-9)/(-45)). Suppose 2*l + g = 277, 0 = -3*l + 2*g + 3*g + d. Does 26 divide l?
False
Let f = 121 - 116. Suppose n - d = -23 + 96, f*n + d = 377. Is n a multiple of 5?
True
Let k(v) = 202*v**2 + 492*v - 8248. Is k(17) a multiple of 65?
False
Suppose -5*p - 4*f = -4137, -365*p - 5*f - 810 = -366*p. Does 5 divide p?
True
Let x(v) = -3*v**3 - 6*v**2 + 2*v + 2. Let n = 355 + -360. Is x(n) a multiple of 31?
True
Let b = 193 - 191. Suppose 4*n - 5*k - 429 = b*n, -5*k + 681 = 3*n. Is n a multiple of 30?
False
Let k(t) = -t**3 - t**2 - 64152. Let z be k(0). Let f be (-4)/26 + z/(-234). Suppose f - 3199 = -9*l. Is 25 a factor of l?
True
Let i(k) = k + 14. Let h be i(-12). Suppose -2*v - 5*p - 9 = 4, h*p + 6 = 0. Is (-33)/6*v*-4 a multiple of 11?
True
Let z = -2 - -21. Suppose -j + l = 8 - z, -2*l - 34 = -4*j. Suppose 2*v = j*v - 240. Is 7 a factor of v?
False
Is (-10 + -10402 + 8)*(20/6 - 6) a multiple of 77?
False
Suppose 0 = -k - 5*d + 1590 + 3017, -4*d = -3*k + 13878. Is 7 a factor of k?
False
Let f(n) = 5*n**2 - 6*n - 364. Is 9 a factor of f(-13)?
False
Let d = 3362 + -2252. Suppose 4*s - 2*s = d. Suppose -3*p = 2*p - s. Is 28 a factor of p?
False
Let l = -19 - -11. Let g = 11 + l. Suppose -g*u + 8*u - 70 = 0. Does 4 divide u?
False
Suppose 33*l - 38*l + 19110 = 0. Is 13 a factor of l?
True
Does 12 divide (37 + (-11830)/52)*(-19)/3*32?
False
Let f = 170 + -163. Suppose 1343 = f*k - 659. Is k a multiple of 26?
True
Is -17 - -14 - 7 - -1627 a multiple of 21?
True
Let d = -4 + 7. Suppose d*c - 8*c = -10. Suppose 2*y + 394 = 3*m, -3 - c = -5*y. Is 22 a factor of m?
True
Suppose 10237*l - 10178*l = 3304944. Is l a multiple of 48?
True
Is 4 + (-17 - -20) - 4/((-8)/38250) a multiple of 234?
False
Let k(i) = -756*i - 1310. Is 11 a factor of k(-7)?
True
Suppose 2*h + 3*o - 46 = 0, -3*h = -0*h + 2*o - 59. Suppose 4*i - 8*i = -z - h, 5*i - z = 20. Let c(a) = 66*a + 6. Does 35 divide c(i)?
False
Let y(n) = -24*n - 2210. Let s be y(0). Let a = s - -4280. Does 22 divide a?
False
Let f(k) = 10*k**2 - 119*k - 4172. Is 22 a factor of f(-46)?
True
Let p(l) = 96*l**2 - 6*l - 44. Is 10 a factor of p(-6)?
False
Let k be 40 + (2 - 2/(-2)). Let i = 43 - k. Suppose i = 4*y - 2*y - 94. Does 3 divide y?
False
Let d(a) = -2*a**2 - 10*a - 3. Let q be d(-4). Suppose -5*c + 3*h = 7*h - 435, -q = h. Suppose -133 + c = -k. Is k a multiple of 7?
True
Let t(z) = -z**3 + 3*z**2 + 12*z - 6. Let g be t(5). Suppose -n + 2*l - 2 = 2, -n = -g*l + 8. Suppose -3*c - c = -2*b + 358, n = -b + c + 181. Does 36 divide b?
False
Let n be (-1 - -4)/((-72)/(-696)). Suppose 25*s = n*s - 1080. Does 30 divide s?
True
Let v(q) = -2 - 13*q**2 + 17*q**2 - q**2 - 6*q. Let j = -7 - -11. Is v(j) a multiple of 11?
True
Let s = 133 + -73. Let y = 59 - s. Is 23 a factor of (y - -2)/((-15)/(-1035))?
True
Suppose -8*w - w = 0. Let d = w - 0. Suppose d*l + 150 = 4*x + 2*l, -141 = -4*x + l. Does 16 divide x?
False
Suppose 21*w + 5 = 16*w. Let g(t) = 828*t**2 + 8*t + 6. Does 14 divide g(w)?
True
Is (-5)/20*2 - (-5724)/8 a multiple of 2?
False
Suppose 3168*y - 44622 = 3162*y. Does 201 divide y?
True
Let v be (-2)/(-3)*(-18123)/14. Let j = 853 - v. Is 53 a factor of j?
False
Let d be 3/(18/15)*46/115. Is (d/4*-6)/((-8)/464) a multiple of 4?
False
Let q be 2 - (0 + (5 - -8)). Let v(b) = -27*b - 200. Does 30 divide v(q)?
False
Let t be (-416 - 1) + (-2)/4*-2. Let f = t - -704. Is f a multiple of 32?
True
Let a(l) = -l**2 - 9*l + 18. Let w be a(-10). Suppose w = i + 11*r - 13*r, i - 12 = 4*r. Is (i - 8)/((-2)/50) a multiple of 25?
True
Suppose -47 = -6*m + 1. Let r(z) = z**3 - 5*z**2 - 14*z + 3. Is r(m) a multiple of 28?
False
Suppose 3*c + 41 + 1362 = 2*b, b - 2*c = 702. Does 5 divide b?
True
Let s be -196*(-4 + 19/4). Let x = s - -199. Suppose -x*b = -50*b - 234. Is b a multiple of 19?
False
Let x = 277 - 277. Is ((0 - x) + 1)*489 a multiple of 15?
False
Suppose -12 = 2*u, -1922*g + 1920*g + 44130 = 4*u. Is 11 a factor of g?
True
Let m(a) = a**3 - 2*a**2 - 2*a + 8. Let w be m(0). Is 2*w/(-6)*13833/(-348) a multiple of 19?
False
Let g(s) = 2*s**2 + 2*s + 2. Let f be g(-1). Suppose -f*l = 2*t - 38, 0 = 6*l - 3*l + t - 47. Suppose 62 = 4*p - l. Does 3 divide p?
False
Let q = -634 - -552. Let r = q + 112. Does 5 divide r?
True
Let p(v) = 2*v**3 - 5*v**2 - 3*v. Let h be p(8). Does 28 divide 6/(4 - (6105/h - 5))?
False
Let g = -30 + 39. Let u be g/5 + 2/10. Suppose -u*o + 5*z = -67, 0 = 2*o - 4*z + z - 57. Is o a multiple of 19?
False
Let l = 46328 + -32203. Is l a multiple of 125?
True
Let v be ((-7)/1)/(-31 - -30). Suppose v*m - 1896 = 1338. Is 28 a factor of m?
False
Let v(n) = n**2 + 10*n - 14. Let j be v(-14). Suppose 0 = 4*k - j - 10. Let r(o) = 2*o - 7. Is 3 a factor of r(k)?
False
Suppose 2 - 14 = 12*q. Let n(k) = -74*k - 14. Does 30 divide n(q)?
True
Suppose -47717*q + 47684*q + 190080 = 0. Is q a multiple of 48?
True
Let w = -243 - -240. Is 9 a factor of (-1)/(w/1524*4)?
False
Suppose 9*b + 180 = 252. Does 12 divide b + (11 - 6) + 971?
True
Suppose -7*b + 33 = 12. Suppose -4*s + 2034 = 2*f + b*f, -5*s = -3*f - 2524. Is 21 a factor of s?
False
Let r be 39/5*(36 + 13 + -4). Let v(s) = -29*s**2 + 3*s + 3. Let f be v(-2). Let x = f + r. Is x a multiple of 29?
True
Let k(d) = -4*d**3 + d**2 - d + 1. Let i(v) = -25*v**3 + 14*v**2 - 2*v + 17. Let b(h) = -i(h) + 6*k(h). Let y = 7 - -2. Is 4 a factor of b(y)?
False
Let s be ((-3)/(-3))/((-6)/(-150)). Suppose -3*f - 2*f = -5*y + s, -3*f + 1 = 5*y. Suppose -v - m = -3*v + 201, y*m = 3*v - 301. Is 24 a factor of v?
False
Let x be 28/((6 + -2)/2). Suppose 1360 = x*j - 6*j. Is j a multiple of 26?
False
Let t = -2661 - -5387. Is t even?
True
Let t(r) = -45*r - 137. Let l be t(-3). Is 20 a factor of -6 + (334/6)/(l/(-6))?
False
Suppose -441 + 18 - 45 = 6*h. Let t = 150 + -255. Let o = h - t. Is o a multiple of 9?
True
Is 127 a factor of 3571 - (6 - 5)*15?
True
Let j = -206 + 203. Is (-34)/(-119) + 403*j/(-7) a multiple of 5?
False
Suppose -8*l = -3*l - 4240. Let n = l + -790. Is 7 a factor of n?
False
Let k = 8429 - 2466. Is k a multiple of 67?
True
Let b = 46 + -70. Let v = b + 37. Suppose 186 = f + v. Is f a multiple of 33?
False
Let z be 3*-15*(-788)/36. Suppose -3*v = -1580 - z. Is 13 a factor of v?
False
Let c(b) = 2*b**2 - 4*b - 15. Let n be c(8). Let s = n - 81. Let m(x) = x + 150. Does 25 divide m(s)?
True
Suppose q = 3*g - 7*g + 474, 3*g + 1362 = 3*q. Is q a multiple of 26?
False
Suppose -5*j + 14 = -21. Suppose j*g + 4 = 1068. Is 19 a factor of g?
True
Let c(f) be the second derivative of f**4/12 + 7*f**3/6 + 23*f**2/2 + f + 2. Is 11 a factor of c(-4)?
True
Let r = 1792 - 1611. Is 91 a factor of r?
False
Let i = 7890 + -6802. Is 8 a factor of i?
True
Let o = 50002 - 29806. Does 34 divide o?
True
Let t(i) = 2*i**2 + 10*i - 10. Let s be t(-8). Let v be -31*((-10)/(-12) + 4/24). Let x = v + s. Is x a multiple of 7?
True
Let y = -37 - -57. Suppose -8*w + 4 - y = 0. Let c(a) = -13*a**3 + 3*a**2 + 3*a - 2
|
{
"pile_set_name": "DM Mathematics"
}
|
*-1*-5. Suppose -2*l + 6*l - 3*b - p = 0, 5*l = -4*b + 45. Let v(a) = -a**3 + 7*a**2 - 3*a - 3. Is v(l) a multiple of 16?
True
Let f(c) = c**3 + 9*c**2 - 19*c + 17. Let v = -82 - -72. Is 10 a factor of f(v)?
False
Let b(d) = 6*d**2 + 1. Let x be b(-1). Suppose -k = -4*o + 13, 4*o - 4*k - x = -k. Suppose 68 = o*c - 20. Does 12 divide c?
False
Suppose -2*j + j - 3*w = 9, 4*j - 3*w + 6 = 0. Let d be -3 + 6/(j - -5). Is ((-3 - 0) + d)*-15 a multiple of 15?
True
Suppose -2503 + 623 = -8*k. Let l = k + -150. Does 15 divide l?
False
Let p(b) be the third derivative of b**4/12 - 23*b**3/6 - 8*b**2. Is 14 a factor of p(19)?
False
Let m(l) = 5*l**3 - l**2 + 2*l - 1. Let v be m(1). Suppose 3*y + 4 - 15 = s, y + v*s + 7 = 0. Suppose y*q + 4*i = 0, -3 = -0*i + i. Is q a multiple of 4?
True
Suppose -3*v = -0*v - 30. Let q = v - 8. Is 5 a factor of q/(-4)*-4 - -8?
True
Let w = 13 - 17. Is w + 0 + (-19)/(-1) a multiple of 10?
False
Suppose -458*j + 453*j + 13970 = 0. Is 12 a factor of j?
False
Let y(q) = -9*q - 7. Let p = -20 - -22. Suppose p*z + w + 1 = 0, -z + 0*w = -2*w + 13. Does 9 divide y(z)?
False
Suppose 0 = 4*w - 0*w - 300. Is 14 a factor of w?
False
Let p(u) = -4*u - 35. Let r(g) = -3*g + 2. Let y be r(6). Is p(y) a multiple of 4?
False
Let l(k) = -112*k + 140. Does 14 divide l(-5)?
True
Let s = -2 - 0. Does 12 divide (3/(-6))/(s/296)?
False
Let x(b) be the second derivative of 17*b**3/6 + b**2/2 - b. Let i(y) = y**3 - 12*y**2 + 13*y - 19. Let p be i(11). Is 7 a factor of x(p)?
False
Let t be (-14)/3 - (5 - (-102)/(-18)). Is 12 a factor of (-94)/t + ((-18)/4)/(-9)?
True
Is 24 a factor of 4/(-30) - 302672/(-240)?
False
Let q(z) = 26*z + 504. Is q(-14) a multiple of 2?
True
Let k = 580 - 100. Is k a multiple of 80?
True
Let r = 38 + -37. Suppose r + 11 = 3*t. Suppose -2*u + t*a = -50, u = -4*a + 7 + 6. Does 7 divide u?
True
Let a = -49 + 53. Let l(d) = d. Let z(y) = y + 5. Let u(v) = 5*l(v) + z(v). Is 6 a factor of u(a)?
False
Let o be (16/(-40))/(1/15). Let i(g) = g**2 + 7*g + 10. Let m be i(o). Suppose 2*h = -m*h + 96. Does 5 divide h?
False
Let p(y) = -32*y + 1. Does 12 divide p(-5)?
False
Let c = -996 + 1410. Is 14 a factor of c?
False
Let y(k) = 36*k - 285. Is 3 a factor of y(12)?
True
Let s(c) = -c - 2. Let w be s(-7). Suppose 33 - 3 = w*x. Does 3 divide x?
True
Let v be ((-13)/5 - 2/5)/(-1). Suppose 0 = -v*t - 2*t + 180. Does 6 divide t?
True
Let t(v) = -v**3 - 3*v**2 - v - 3. Let q be t(-2). Is 17 a factor of (0 - -3) + (q - (-5 + -214))?
False
Let t(i) = -127*i**3 - 2*i**2 - 2*i + 1. Does 6 divide t(-1)?
False
Let b(m) = 90*m - 117. Does 3 divide b(4)?
True
Let j = 61 - 57. Suppose 0 = -4*a + 5*c + 44, -j*c + 6 = 3*a + 4. Does 4 divide a?
False
Suppose 3*i + 15 = 0, -305 = -6*p + 3*p - 5*i. Let a be p/(-44)*4/(-5). Suppose -44 = -3*g - 0*g + 2*m, 0 = -5*g - a*m + 84. Does 16 divide g?
True
Suppose 3*o - 8*o = -2790. Does 31 divide o?
True
Suppose -2*p = -3*i - 282, 5*p - p + i = 536. Suppose 5*g + 4*l - p = 0, -5*l + 0*l = 0. Is g a multiple of 2?
False
Let c be 44/(-16) - (-6)/8. Let z be c/5*20/(-2). Suppose 5*y + 47 = z*n, 65 = 5*n - 3*y - 2*y. Is 14 a factor of n?
False
Suppose 19*h - 14*h = 10. Suppose -5*r - 7 + 285 = h*k, 3*r + 5*k - 182 = 0. Is r a multiple of 11?
False
Suppose 7*g = 3*g - 2*i, -4*g - 12 = 5*i. Suppose -4*q = -g*t + 252, -t = -4*q + 58 - 188. Is 9 a factor of t?
False
Suppose 2*y - 6*y + 4*n + 8 = 0, -3*n = 3*y. Let c(g) = g**2 - 2 + 2 + y + g**2. Is 3 a factor of c(-1)?
True
Suppose -227 = -8*f + 445. Is f a multiple of 6?
True
Suppose 7*k + 19 = -3*c + 2*k, 2*c - 3*k = 0. Let x be -51 - ((-9)/c)/3. Let u = x + 102. Does 15 divide u?
False
Let h be -3 + 5 + (4 - 4). Suppose 4*g + 2*a = 186, 2*g - h*a = 28 + 68. Does 8 divide g?
False
Let k(h) = 529*h - 100. Does 41 divide k(4)?
False
Suppose 2 = -3*r + 2. Suppose 2*l = -4*p + l + 306, 2*p + 4*l - 146 = r. Is 7 a factor of p?
True
Is 104/(-40) - -3 - 46/(-10) a multiple of 5?
True
Suppose -5*d + 101 = -24. Let h be 12/(-10)*d/(-10). Does 17 divide (-70)/(-2) + h - -2?
False
Suppose -3*i = -5*i - 4, 2*h - 2*i = 8. Let c(a) = 4 - 7*a + 4*a**h - 13 + 12. Does 6 divide c(3)?
True
Let b = 58 - 83. Let a = 13 - b. Is 6 a factor of (a/(-4))/((-8)/16)?
False
Suppose 5*m + 72 = -4*m. Is 104*m/(128/(-12)) a multiple of 9?
False
Let t be 3 + (3 - -1)/(-4). Suppose -5*r = -0*a + t*a - 575, -5*r = -4*a - 545. Suppose r = 5*z - 47. Is 8 a factor of z?
True
Let l(b) = 3*b + 19. Let g(z) = -z - 9. Let k(v) = -5*g(v) - 2*l(v). Let c be k(4). Suppose 0 = c*w - 2*h - 50 - 257, -2*h + 299 = 3*w. Is w a multiple of 27?
False
Let i = 17070 + -12157. Is i a multiple of 13?
False
Let g = -15 + 25. Let r be ((-3)/(-7))/(g/70). Suppose r*c = -4*y + 6, 2*c + 3*y = 2*y + 9. Is 3 a factor of c?
True
Suppose x = 7 + 9. Suppose -l = 3*h - 11, 2*h + 3*l + 2*l = x. Suppose -2*q - 41 = -h*o, 0 = 2*q - 0*q + 8. Is 3 a factor of o?
False
Suppose 3*s + 9 = -0*s, -5*s + 66 = 3*f. Suppose 31*y - f*y - 12 = 0. Suppose 0 = -y*c + 401 - 53. Is 18 a factor of c?
False
Let t(k) = k**2 - 6*k + 13. Let w(a) = 12 + 15*a - 21*a + 3 - 3 + a**2. Let g(y) = -4*t(y) + 5*w(y). Is g(10) a multiple of 12?
True
Let n(v) = -2*v**2 - 62*v - 11. Is 28 a factor of n(-15)?
False
Let w be -14 - -16 - (-52)/2. Is 20 a factor of (w/(-6))/(-7)*120?
True
Suppose 5*j + 5*s = 13 + 2, 0 = -2*j + 2*s + 18. Let d = j + -3. Suppose -5*a + 88 = 3*b, -b = -4*a + d*b + 64. Is a a multiple of 17?
True
Suppose 4 = -g, g - 28 = -5*a + 3*g. Suppose m = a*m - 108. Does 18 divide m?
True
Let n be -1*1*9/(-3). Suppose -n*b = -6*b. Suppose 5*z + k - 169 = b, -5*k - 51 = -5*z + 94. Does 11 divide z?
True
Suppose -2*z = -2*p + 12, -15 = 2*z + z. Let o be (18/(-8))/((-3)/12). Let i = o - p. Does 8 divide i?
True
Let p = 7 + -4. Suppose -5*k + 1070 = 5*d, d = p*k - 358 - 268. Is k a multiple of 15?
True
Let j be 1 - 4/16 - 27/(-12). Suppose -j*k = -89 + 17. Is k a multiple of 16?
False
Does 10 divide (-22 + 4)*(2 + -7)?
True
Suppose 0 = -3*n - 4*z + 1556, 5*z + 134 + 1951 = 4*n. Does 56 divide n?
False
Let x(l) = l**2 + 14*l + 11. Let g be x(-15). Suppose -2*v - 228 = -4*i, -i = 4*v - g - 13. Is 38 a factor of i?
False
Is 19*205/(-25)*(-5 - 0) a multiple of 7?
False
Is 14 a factor of (-7)/(42/24)*450/(-8)?
False
Let w(l) = l**3 - 20*l**2 + 44*l + 44. Is 3 a factor of w(18)?
False
Let l(t) = t - 3. Let h be l(6). Let b be 17 + -17 - 1*-2. Let x = b + h. Is x a multiple of 2?
False
Let w = -191 + 193. Suppose j = 2*y + y, y + 14 = 5*j. Is (y/4)/(w/152) a multiple of 16?
False
Does 30 divide 5/((-75)/6) - (-27326)/65?
True
Let h(u) be the first derivative of -u**4/2 - u**3/3 - u**2/2 - u - 3. Let q = 19 + -21. Is 3 a factor of h(q)?
False
Let f(r) be the third derivative of r**6/120 + 2*r**5/15 - 5*r**4/24 - 4*r**3/3 - 9*r**2. Suppose -4*a = 35 - 7. Does 38 divide f(a)?
True
Is 16 a factor of ((-808)/88)/(1/(-11))?
False
Let x be (-23 - -5)*(-6)/4. Suppose -4*o = -o - x. Is 10/(3 - 24/o) a multiple of 9?
False
Let m(l) = 7*l - 6. Is m(5) a multiple of 2?
False
Let x(b) be the third derivative of -b**4/8 - 2*b**3/3 - 7*b**2. Let h be -7 - 6/9*-3. Is x(h) a multiple of 11?
True
Does 14 divide ((-18)/9 + (-2)/(-4))*-30?
False
Suppose 11*i = 7*i + 588. Let a = -101 + i. Is a a multiple of 4?
False
Let n = 1062 + -742. Does 10 divide n?
True
Let c = 1231 - 228. Does 17 divide c?
True
Suppose 28191 = 6*x + 6351. Is x a multiple of 14?
True
Suppose -3*f = 5*f - 32. Suppose 361 = f*x - 571. Does 23 divide x?
False
Let y = -18 + 84. Does 22 divide y?
True
Suppose 948 = 4*m + 212. Is 23 a factor of m?
True
Let f(j) = -3*j - 16. Let l = -8 - -1. Let v be f(l). Suppose v*m = -0*m + 260. Is m a multiple of 11?
False
Suppose 0 = -15*b + 5239 + 17756. Is b a multiple of 73?
True
Let z(g) = g**2 - 2*g + 5. Let x be z(5). Is 2*(-2)/x + 1983/15 a multiple of 33?
True
Suppose p - 20 = -n - 4*n, -n - 15 = 4*p. Suppose y = n*y - 432. Is y a multiple of 18?
True
Let b = -281 - -767. Does 8 divide b?
False
Suppose 0*q + 24 = 4*q. Is (-3)/4*(-13 + q + -13) a multiple of 15?
True
Is (-5 - (-17)/3)*165 a multiple of 13?
False
Let g(i) = 9*i**2 - 47*i + 4. Is g(-7) a multiple of 26?
False
Let s(j) = 54*j**2 - j + 1. Let v be ((-4)/(-2))/((-10)/45). Let z be (-1)/v + 30/(-27). I
|
{
"pile_set_name": "DM Mathematics"
}
|
= 0 for l.
3
Solve -437*b + 435*b = 4*q + 12, 12 = 3*b for q.
-5
Solve 6*h - 4*j - 4 = 0, -4*h = 540*j - 536*j + 24 for h.
-2
Solve 4*i + 10 = -5*t, -3722*t + 3 = -3*i - 3728*t for i.
-5
Solve 77 - 79 = -k - w, 9*k = w - 22 for k.
-2
Solve -4*h - 77 - 31 = 24*b, 5*b = -2*h - 19 for h.
3
Solve 0 = -2*u - 2*p + 18, 4*p = -u + p + 19 for u.
4
Solve 2*i - 5*f + 25 = 0, 5*i = 3*f - 47677 + 47643 for i.
-5
Solve -2*y - 5*r = 6, 2*y + 452 = -3*r + 446 for y.
-3
Solve -2*s - 20 = 4*p, 3241*p - 3244*p - 5*s - 22 = 0 for p.
-4
Solve -3*y + 4*n = -31, 21 = 5*y - 6*n - 30 for y.
9
Solve 0 = -5*x - 5*k + 341 - 251, -3*k = -2*x - 54 for x.
0
Solve 2*p - 32 = 4*c, 12 = -2*c + 4*p - 28 for c.
-4
Solve k + 16 = -3*m, 21*k - 5*m = 16*k - 40 for k.
-10
Solve -4*l + 46 = 14, -5*l = 3*v - 34 for v.
-2
Solve -13*o + 6 = -23*o + 3*x, -2*o - 5*x + 10 = 0 for o.
0
Solve -5*g - 103*f + 23 = -105*f, 0 = 3*f - 3 for g.
5
Solve 3*z = 2*a + 22, -72*z + 2*a + 16 = -70*z for z.
6
Solve l = 2*h - 22, 11 - 57 = -2*h - 5*l for h.
13
Solve -46*o - 212 = 22*z - 26*z, -3*z + 29 = -2*o for o.
-4
Solve 4*o + 24 = -25*y + 28*y, 18 = -3*o - 3*y for o.
-6
Solve -2*j - 12 = 5*g, -764*g + 769*g = j - 9 for g.
-2
Solve 2*k + 4 = 0, 5*o + 0*k + 3*k + 11 = 0 for o.
-1
Solve 2*c = 2*j + 514 - 508, 2*c = -4*j - 18 for j.
-4
Solve -5*d - 992*c + 24 = -989*c, 0 = -2*d - 4*c + 18 for d.
3
Solve 4*y - 4*l + 56 = 0, 18*l - 36 = 15*l for y.
-2
Solve 0 = -7*w - 5*k - 111, -10*w = -5*w + k + 69 for w.
-13
Solve 0 = -38*q + 35*q + 4*b + 22, 5*b + 27 = 4*q for q.
-2
Solve -2*b = m + 6 + 7 - 8, m = -b for m.
5
Solve -k + 493*s - 7 = 495*s, 0 = -2*k + 2*s + 16 for k.
3
Solve 0 = u + a - 3, 0 = u - 269*a + 272*a - 7 for u.
1
Solve -2*g - 8*x = -3*x - 14, -3 = -3*g - 3*x for g.
-3
Solve 17*k - 13*k = k - 30, -k - 6 - 4 = -c for c.
0
Solve -3*y - 4 = -7*y - 3*z, -3 = -3*y + 3*z for y.
1
Solve -2*x - 4*b = -68, 289*x - 68 = 288*x - 4*b for x.
0
Solve 29*q - 24*q + 4*p + 75 = -38, 0 = 5*p + 10 for q.
-21
Solve 7 = d + 2*j, -12*d - 48 = -2*j - 2 for d.
-3
Solve -49*t - 2 = -s - 46*t, -53 = -4*s - 3*t for s.
11
Solve -v = -4*c + 11, -v - 12*c + 4 = -13*c for v.
9
Solve -5*p - 3 = 3*n - 3, -n = 10*p for n.
0
Solve 4*f = -14*v - 3 - 5, -7*v + 3*v = 0 for f.
-2
Solve 3*i = 3*h - 33, 179*i - 5*h + 7 = 182*i for i.
-6
Solve 0*o + 10 = -2*o, 2*k = 15*o - 17*o for k.
5
Solve 4*v - 10 = 4*v + 2*b, -6*v + 13 = -2930*b + 2931*b for v.
3
Solve -p - 364 = -5*s - 340, -2*p = -7*s + 33 for p.
1
Solve 4*q - 88 = 3*o - 26, 4*o + 5*q = 93 for o.
2
Solve -z = 1 - 3, g - 3*g - 4*z + 2*z + 10 = 0 for g.
3
Solve -12*o = -10*o - 5*o + 9, 9*o = -v + 36 for v.
9
Solve 40*k - 44*k - 26 = -3*g, -8*g - 12 = -10*g for k.
-2
Solve 2*p + 3457*c + 8 = 3461*c, -3*c = -4*p - 1 for p.
2
Solve 8 = d + z, 2*d - 166 = z - 159 for d.
5
Solve -2*i - 5*m + 7 = -13, 0 = 2*m - 8 for i.
0
Solve d = -20*u + 18*u + 9, 3*d + 43 = 8*u for d.
-1
Solve 0 = -4*a + 78*f - 62*f + 184, 0 = -3*a + f + 6 for a.
-2
Solve -29*d + 28*d + 5*k + 16 = 0, 3*k - 2*k = -4 for d.
-4
Solve -2*h + 10 = -2*q - 2*q, 40 = -4*q - 4*h for q.
-5
Solve -3*i = 4*z - 0*i + 53, -3*z = 3*i + 42 for z.
-11
Solve -4*u = 2*l - 2, 103*l - 105*l + 8 = -2*u for l.
3
Solve -c + 3*l + 6 = -2, -50 = c - l - 54 for c.
2
Solve 5*o - 63 = -n, 3*o + 59 = 8*o + 3*n for o.
13
Solve -2*t - 2*p + 27347 = 27351, 0*t - p = 3*t + 10 for t.
-4
Solve 0 = 12*i + 5*u - 71, 0 = -82*i + 85*i - u - 29 for i.
8
Solve 2*o + 2*n = -2, -105*o - 11 = -110*o - n for o.
3
Solve 2*y + 51 = -2*v + 45, 3*v = 5*y - 41 for y.
4
Solve 3*k - 2748*q = -2745*q - 15, -10*k + 67 = 3*q for k.
4
Solve -2*w + 5*l + 34 = 39, 4*l = 4*w - 8 for w.
5
Solve -1705*v = -1703*v - 2*k + 20, 10 = 2*k for v.
-5
Solve 440*x = 438*x - 14, 4*y - x - 15 = 0 for y.
2
Solve 7*m + 20*h = 21*h + 123, 5*m + 7*h = 111 for m.
18
Solve -k - 1309 = 13*b - 1434, -b + 2*k = -20 for b.
10
Solve 13*j - 38 = 5*d + 16*j, 0 = -3*d + 5*j - 50 for d.
-10
Solve 2*t = 4*z + 2, 4*t = 86 - 74 for z.
1
Solve h = 2086*s - 2088*s - 1, s = 2*h - 8 for s.
-2
Solve -2*z - 10 = 2*l, -9396*l + 9392*l = z + 14 for l.
-3
Solve -76*k + 17 = -77*k + 2*a, -5*k - 2*a - 25 = 0 for k.
-7
Solve -67*x = -66*x + 3*d + 8, -12 = x + d for x.
-14
Solve 0 = -4*f - 2*q + 25 - 31, -3*f + q - 7 = 0 for f.
-2
Solve 2*s + 3*k = 7, -5*s + 55*k - 56*k - 444 = -455 for s.
2
Solve -y + 8 = -3*q, -y = -q + 7 - 9 for y.
-1
Solve 12 = -3*h, t + 227828 = -h + 227824 for t.
0
Solve -4*q + 2*t = 0, 8*q + 9 = 7*q + 5*t for q.
1
Solve 4*u + 19 = 481*m - 480*m, 4*m - 2*u = 34 for m.
7
Solve -2*v = -4*g + 30, 5*g = -30*v + 23*v - 10 for v.
-5
Solve 4*j = -4*v - 12, 5*j + 5 + 11 = -4*v for v.
1
Solve -2*g - 432 = -44*l, -122*l + 117*l = -4*g - 34 for g.
4
Solve 14*z - 10*z - 7*z = -2*v + 4, 2*v + 2 = 0 for z.
-2
Solve -654*c + 6 = -4*h - 655*c, 18 = 2*h + 4*c for h.
-3
Solve -5*m - 5*h = 0, -m + 5 + 4 = -2*h for m.
3
Solve 28*k + 6*u - 12 = 23*k, 5*k - u = 33 for k.
6
Solve -3*p - 120 = -n - 131, p + 0*p = -12*n + 53 for p.
5
Solve d - 3*r = 11, -2*d - 17160*r + 17157*r - 23 = 0 for d.
-4
Solve 2*w + 4*f - 7*f + 41 - 29 = 0, -64*f + 256 = 0 for w.
0
Solve -38 = -5*t - 3*l, -564*t - 2*l - 44 = -578*t for t.
4
Solve -15*f - 5*n + 19 = -17*f, f = 4*n - 17 for f.
3
Solve 0 = -6*k + 2*y + 38, 6*k + 43*y - 44*y = 43 for k.
8
Solve -u + 2*v = -11, 0 = 1680*u - 1675*u + 2*v + 41 for u.
-5
Solve 11*n + 2*m = 128 - 184, 2*m = -5*n - 20 for n.
-6
Solve 0 = 4*p - 4*t - 24, -18 = -2*p - 3657*t + 3660*t for p.
0
Solve -2*q = 3*l + 5, 4*l + 6389 = q + 6364 for q.
5
Solve 3*j - 7 = -g, 25*g - 11 = j + 24*g for j.
-1
Solve 0 = -2*t + 3*x - 5072 + 5070, 5*x + 6 = t for t.
-4
Solve 0 = -i - 3*y - 2, 4*i - 3*y + 4685 = 4722 for i.
7
Solve 2*b = 4*v + 24 - 10, 5*v + b = 0 for v.
-1
Solve y + 6 = -0*y - 3*x, 4*x + 28 = 2*y for y.
6
Solve 2*p = 2*y - 247 + 243, 5*p + y = -28 for p.
-5
Solve 2*t = -23270*u + 23275*u + 6, t - 5*u = -2 for t.
8
Solve 5*t + 22 = -3*r, 3*t + 5*r - 62814 = -62840 for t.
-2
Solve 2*f = -2*r + 2, 1034*f + 2*r - 17 = 1029*f for f.
5
Solve 6*y = w + 19, -3*y - 3*w + 369 - 363 = 0 for y.
3
Solve 7*j = -1623*c + 1628*c - 20, -5*j - 2*c = -8 for j.
0
Solve -2*w - 32*p = 88, -37*w = -39*w + 4*p + 20 for w.
4
Solve 2*w = -13*g + 6*w + 38, -2*g - 5*w - 2 = 9 for g.
2
Solve 3*l - 3*b + 6 = -5*b, 0 = -l - b - 2 for l.
-2
Solve 4*i - 4661*h = -4658*h + 15, 2*h = 2*i - 8 for i.
3
Solve -20 = -2*l + 2*g, -16 = -5*l - 4*g - 74 for l.
-2
Solve 0 = 5*m + 2908*h - 2903*h - 30, 2*h + 6 = 4*m for m.
3
Solve -2*b = r - 9, 657*b - 652*b - r - 12 = 0 for b.
3
Solve -42*t = -43*t - 5*c + 19, -10 = 6*t - c for t.
-1
Solve -5*i = 4*g - 36, 12 = -87*i + 89*i + g for i.
4
Solve 0 = -5*j + 50, 8*a - 2*j - 1069 = -1057 for a.
4
Solve -6434*g + 3*b = -6430*g, -3*g - 6*b = 33 for g.
-3
Solve 4*a + 10176 - 10221 = 5*v, 0 = 3*v + 5*a + 27 for v.
-9
Solve 0 = -6*b + 4*u + 3665 - 3747, 2*u = 26 for b.
-5
Solve -4*m = 8, -3*m + 19*m - 9*m - 2*m + 15 = x for x.
5
Solve -3*n = 4*b + 38, -2*n - b = 2 + 15 for n.
-6
Solve 5*w = -4*y - 10 + 24, 4*y - 8 = -4*w for w.
6
Solve f + 4*f - 4 = 4*m, -5*f + 3*m = -8 for f.
4
Solve -2*p + 28 = -3*u, -p + u + 23 = -2*u for p.
5
Solve 0 = w - 2*m - 12, 3*m - 5303 = 2*w - 5323 for w.
4
Solve -18 = 6*z - 205*f + 204*f, 2*z + 4*f - 20 = 0 for z.
-2
Solve 3*r - 111 = 3*s, 0 = r - 10*s + 5*s - 181 for r.
1
Solve -m + 3*k - 13 = 0, k + 7020 - 7021 = -3*m for m.
-1
Solve 0 = 3*h - 11*d + 16*d + 4, 8*h - d - 18 = 0 for h.
2
Solve 5*l + k - 16 = 0, -31*k + 32 = 5*l - 34*k for l.
4
Solve 21*o - 106 = 5*y - 0*y, -8*o + 3*y = -9*o + 18 for o.
6
Solve 0 = -4*i + 4*r + 4, 37*i - 32*i = -5*r - 45 for i.
-4
Solve -3*c + 3*t = 27, 17*c + 10 = 12*c - 2*t for c.
-4
Solve -62*j = -129*j + 63*j - 5*i, 2*i = 0 for j.
0
Solve 58 = -s + 3*a, -2*s = -2*a + 1247 - 1215 for s.
5
Solve 4*p - 182*c + 12 = -186*c, p - 4*c - 7 = 0 for p.
-1
Solve -4*o = 5*s + 16, 383*s - 12 = 379*s + 3*o for s.
0
Solve -6 = 2*u, 27 = -15*k - 17*u + 13*u for k.
-1
Solve -2*l = -8*j + 7*j - 3, 0 = -5*l - 3*j + 13 for l.
2
Solve -3*z = c + 1006 - 998, -4*c = 7*z + 22 for c.
-2
Solve -3*b - 1217*a + 1215*a = -15, -18 = -3*b - a for b.
7
Solve 5*r - 5*t = -20, -9*r + 5*t - 11 = -7*r for r.
-3
Solve 3*h = -5*q - 25, 24 = -q - 18 + 40 for h.
-5
Solve 0 = -323
|
{
"pile_set_name": "DM Mathematics"
}
|
rmine j(r(a)).
2209*a**2
Let h(j) = 324*j - 167*j - 158*j. Let m(g) = -3*g - 9. Give m(h(u)).
3*u - 9
Let t(m) = 2*m**2. Let k(b) = 717*b. Let r(a) = -181*a. Let q(i) = -4*k(i) - 18*r(i). Determine q(t(c)).
780*c**2
Let w(c) = -6*c + 9. Let f(k) = 3*k - 5. Let r(v) = -9*f(v) - 5*w(v). Let h(j) be the first derivative of -j**3/3 - 100. Give r(h(o)).
-3*o**2
Let y(g) = g + 69. Let j(l) = 2*l + 4. Let b(n) = -16*n - 36. Let o(p) = 2*b(p) + 18*j(p). Determine y(o(a)).
4*a + 69
Let u(i) be the first derivative of -i**3/3 + 7. Let j(a) = -8*a. Let v(w) = -40*w. Let q be 0/2 + 3/(-1). Let n(b) = q*v(b) + 16*j(b). Calculate n(u(g)).
8*g**2
Let x(p) be the second derivative of p**3/3 + 746*p. Let g = -10 - -15. Let f(i) = -g*i**2 - 2*i**2 + 4*i**2. Determine f(x(k)).
-12*k**2
Let i(t) be the third derivative of 73*t**5/60 + 13*t**2 - 1. Let w(u) = 4*u**2. Give i(w(p)).
1168*p**4
Let t(o) = 30*o. Let h(j) = 48*j. Let b(a) = 3*h(a) - 5*t(a). Let v(c) = -8*c + 2. Calculate v(b(s)).
48*s + 2
Let a(p) = -6*p + 3. Let i(f) = -18*f**2 + f - 1. What is i(a(j))?
-648*j**2 + 642*j - 160
Let g(x) be the first derivative of -x**3 - 168. Let q(l) = 8*l**2 - 6. Calculate q(g(n)).
72*n**4 - 6
Let p(d) be the third derivative of -5*d**4/24 - d**2 - 11. Let i(f) = -2*f**2 - 47. Calculate i(p(h)).
-50*h**2 - 47
Let r(w) = -63*w**2 - 4*w. Let j(u) = 3*u + 32. What is j(r(m))?
-189*m**2 - 12*m + 32
Let t(l) = l. Let g(j) = 270*j - 72. What is t(g(f))?
270*f - 72
Let n(w) = 5*w + 2587. Let q(k) = k. What is q(n(g))?
5*g + 2587
Let w be -3*3*4/18. Let q be (-16)/20*5/w. Let k(f) = -7*f**2 + 13*f**2 + 2*f**q - 6*f**2. Let x(o) = 3*o. Give k(x(s)).
18*s**2
Let t(u) = 17*u + 2. Let g(a) = -a + 4. Let h(x) = 4*x - 20. Let j(v) = 15*g(v) + 3*h(v). Determine j(t(c)).
-51*c - 6
Let j(v) = 2*v**2 + 26*v. Let q(a) = 0 + 0 + 98*a - 97*a. Give q(j(b)).
2*b**2 + 26*b
Let o(j) = -851*j**2 - 854*j**2 + 1709*j**2. Let q(u) = 3*u**2. Give o(q(h)).
36*h**4
Let l(r) = -2*r - 11. Let o(u) be the first derivative of u**2/2 + 87. Determine o(l(p)).
-2*p - 11
Let o(s) = 2*s + 183*s**2 - 378*s**2 - 2*s + 193*s**2. Let g(f) = 4*f**2 - 2*f**2 + 0*f**2. Give g(o(t)).
8*t**4
Let x(h) = h. Let u(w) = 158766*w. Determine x(u(a)).
158766*a
Let y(r) be the second derivative of 2*r**3/3 - 16*r. Let s(x) be the second derivative of x**4/4 + 13*x. Determine s(y(q)).
48*q**2
Let j(w) = -2*w. Let f(r) = 6*r**2 + 72*r - 9. Determine j(f(k)).
-12*k**2 - 144*k + 18
Let v(j) = -j**2. Let q(x) = 119*x + 10. Let h(u) = -123*u - 8. Let n(k) = 4*h(k) + 3*q(k). Determine n(v(p)).
135*p**2 - 2
Let x(s) = 73*s**2. Let z(j) = 0*j + j - 3*j - 2*j + 2*j. Determine x(z(b)).
292*b**2
Let v(s) = 90*s**2 + 60*s - 20. Let l(z) = -13*z**2 - 9*z + 3. Let u(m) = 20*l(m) + 3*v(m). Let d(h) = 9*h. Give u(d(g)).
810*g**2
Let o(q) = -11*q. Let s(y) = 2*y**2 - 3. Let j(g) = g**2 - 2. Let i be 0 + (-2)/2 + -2. Let x(u) = i*j(u) + 2*s(u). Determine o(x(n)).
-11*n**2
Let m(y) = 145*y**2. Let h(s) = -447*s. What is h(m(r))?
-64815*r**2
Let b(a) = -625*a + 11. Let n(q) = -q**2. Calculate n(b(w)).
-390625*w**2 + 13750*w - 121
Let y(h) = 91*h. Let j(g) = 93*g. Let o(n) = -2*j(n) + 3*y(n). Let i(d) = -3*d. Determine o(i(z)).
-261*z
Let a(p) = -27*p. Let x(o) be the first derivative of -5*o**3/3 + 86. Determine a(x(c)).
135*c**2
Let w(h) = 6*h. Let g(d) be the second derivative of 5*d**4/3 - 190*d. What is g(w(b))?
720*b**2
Let p(c) = -24*c - 10. Let j(g) = 1. Let q(d) = 12*j(d) + p(d). Let i(o) be the second derivative of o**4/12 + o. Calculate i(q(m)).
576*m**2 - 96*m + 4
Let x(m) be the first derivative of m**2 - 2. Let n(q) = -6 + 3 + 1134*q + 3 - 1058*q. What is x(n(l))?
152*l
Let d(u) = -6 + 16*u**2 + 2 + u**2 + 4. Let g(s) = 16*s. Determine g(d(x)).
272*x**2
Let a(v) = -v**2. Let b = -29 + 31. Let c(h) = -3*h**2 + 0*h**2 + b*h - 2*h. Determine c(a(y)).
-3*y**4
Let w(h) = 2*h**2 - 64. Let v(z) = 6*z**2 + 118. Determine w(v(c)).
72*c**4 + 2832*c**2 + 27784
Let s(l) = l**3 + 11*l**2 - 16*l - 42. Let c be s(-12). Let d(n) = -c*n**2 - 48 + 48 + 26*n**2. Let g(b) = -3*b. Calculate g(d(k)).
-60*k**2
Let w(q) = 67*q. Let b(t) = 21732*t**2. Calculate b(w(m)).
97554948*m**2
Let l(u) = -2*u**2. Let k(p) = -237*p**2 + 8*p. Let o(c) = 2845*c**2 - 100*c. Let b(v) = 25*k(v) + 2*o(v). Determine l(b(d)).
-110450*d**4
Suppose 56*b - 50*b = 6. Suppose -5*a - 4 + 19 = 0. Let w(f) = -a + 4 - b + 2*f. Let m(j) = -7*j. Determine w(m(r)).
-14*r
Let g(l) = 3*l**2 + 77. Let s(n) be the third derivative of -n**5/20 - 167*n**2. What is s(g(c))?
-27*c**4 - 1386*c**2 - 17787
Let k(i) = 2*i. Suppose -3*f + 112 = 4*z + f, 2*z + f = 58. Suppose 0*a + 3*d + z = a, 4*d = -3*a + 77. Let s(x) = 7*x + 6*x - a*x + 9*x. Calculate s(k(v)).
-10*v
Let d(l) = -l**2 - 9*l - 7. Let s = -12 + 6. Let u be d(s). Let t(r) = 19*r - u*r - 10*r. Let o(x) = 3*x**2. Calculate t(o(n)).
-6*n**2
Let n(y) = -4*y. Let s(j) = -j - 1. Let u(o) = 9*o**2 + 0 - 2*o - 7*o**2 - 2. Let t(x) = 4*s(x) - 2*u(x). Determine t(n(v)).
-64*v**2
Let t(p) = -9*p. Let f(l) = -92781*l. Give f(t(s)).
835029*s
Let x(u) = 13*u + 6. Let z(p) = 15*p + 7. Let r = 63 + -70. Let h(v) = r*x(v) + 6*z(v). Let j(w) = -2*w**2. What is j(h(i))?
-2*i**2
Let b(q) = 11*q. Let l(r) = -10*r + 7. Let y(a) = 11*a - 6. Let k(z) = 6*l(z) + 7*y(z). Give k(b(p)).
187*p
Let j(l) = -2*l. Let k(d) be the third derivative of -15*d**4/2 + 192*d**2. What is j(k(b))?
360*b
Let i(y) = -146*y - 147*y + 291*y. Let x(p) = -10*p. What is i(x(v))?
20*v
Let p(c) = -13*c + 3*c - c + 3*c. Let o(n) be the second derivative of -n**5/60 + 9*n**2/2 - 4*n. Let u(h) be the first derivative of o(h). Determine p(u(b)).
8*b**2
Let s(u) = 2*u. Let m(f) = -107114*f**2. Determine s(m(x)).
-214228*x**2
Let h be (-16)/(-40) + -4*(-104)/10. Let a(c) = -h*c - c + 8*c - 6*c. Let d(w) = -w**2. Give d(a(i)).
-1681*i**2
Let c(u) = 2*u + 21. Let i(f) = -1004*f**2. Determine i(c(s)).
-4016*s**2 - 84336*s - 442764
Let n be 5*((-4)/1)/(-4). Let q(w) = -2*w + 2*w - 2*w + n*w. Let d(t) = t**2 + t**2 + 3*t**2 - 3*t**2. Calculate q(d(i)).
6*i**2
Let a(c) be the third derivative of c**5/60 - 11*c**2 + 3*c. Let f(j) = -28*j**2 - 3. Give a(f(q)).
784*q**4 + 168*q**2 + 9
Let a(p) = -7*p - 14*p - 3*p + 20*p. Let s(j) = -15*j. What is s(a(u))?
60*u
Let r(g) = -7*g**2. Let b(m) = -18*m**2 - 45*m + 3. Calculate b(r(a)).
-882*a**4 + 315*a**2 + 3
Let t(k) be the third derivative of k**5/60 - 3*k**2 - 9*k - 1. Let f(x) = 18*x + 8. Let s(w) = -1. Let v(q) = f(q) + 8*s(q). What is v(t(n))?
18*n**2
Let w(n) = n + 1. Let a(m) = m**2 - 2*m - 9. Let v be a(4). Let i(s) = 33*s + 44. Let z(h) = v*i(h) + 44*w(h). Let f(j) = -2*j**2. Determine z(f(c)).
-22*c**2
Let f(p) be the second derivative of -5*p**3/6 + 2*p**2 - 7*p. Let m(b) = -b + 1. Let s(u) = -5*f(u) + 20*m(u). Let d(w) = -3*w. Give d(s(j)).
-15*j
Let g(d) = 5*d**2. Let s(y) = 9*y**2 + 1. Let h(b) = -2*b**2 - 1. Let p(x) = 4*h(x) + 4*s(x). Give p(g(n)).
700*n**4
Let g(v) = 5*v. Let w(i) = 970*i. Determine w(g(b)).
4850*b
Let r(c) be the first derivative of -4*c**3/3 + 3*c**2 - 41. Let f(i) = -2*i. Determine r(f(o)).
-16*o**2 - 12*o
Let f(y) = -159*y. Let h(r) = 6*r**2 + 2*r - 17. Calculate h(f(l)).
151686*l**2 - 318*l - 17
Let l(z) = 2*z. Let m be 10/2*((-42)/(-35))/3. Let w(k) = 5*k**m - 4*k**2 + 1 - 1. Give w(l(s)).
4*s**2
Let o(z) = z**2 + 24*z - 4107. Let c(f) = -f. What is c(o(q))?
-q**2 - 24*q + 4107
Let t(x) = 277*x + 278*x + 285*x + 287*x - 1125*x. Let h(i) = 21*i**2 + 2 - 9*i**2 + 1. Determine h(t(n)).
48*n**2 + 3
Let m(g) = 247*g. Let s(x) = -124*x. Determine m(s(j)).
-30628*j
Suppose -20 = 2*c - 7*c. Let p(s) = -4*s**2 + 3 - 3 - c*s**2. Let u(a) be the second derivative of a**4/12 - 2*a. Calculate p(u(j)).
-8*j**4
Let p(a) be the second derivative of -a**3/6 + a. Let o(y) = 3*y**2 + 20*y + 4. Let z(c) = 4*c**2 + 25*c + 5. Let r(q) = 5*o(q) - 4*z(q). Give r(p(l)).
-l**2
Let c(a) = -a**2 - 3*a. Let d(y) = -82*y + 3. Determine d(c(u)).
82*u**2 + 246*u + 3
Let g(i) = -2*i + 8. Let j(l) = -7*l + 10. Let u(w) = 30*w - 45. Let y(b) = 36*j(b) + 8*u(b). Calculate y(g(c)).
24*c - 96
Let g(m) be the third derivative of -7*m**4/24 - 65*m**2. Let j(x) = 3*x. What is j(g(w))?
-21*w
Let j(x) = -27*x + 2. Let f(p) = -11*p**2. Determine j(f(h)).
|
{
"pile_set_name": "DM Mathematics"
}
|
254, 373?
514
What is the next term in 686, 1219, 1752?
2285
What is the next term in 1296, 1261, 1226, 1191, 1156?
1121
What is the next term in 1252, 2499, 3740, 4975, 6204, 7427, 8644?
9855
What comes next: -130, -858, -2708, -6202, -11862, -20210?
-31768
What comes next: 2720095, 2720094, 2720093, 2720092, 2720091, 2720090?
2720089
What is the next term in -411, 37, 1269, 3681, 7669, 13629, 21957?
33049
What is the next term in -13, -125, -237?
-349
What is the next term in 54126, 108252, 162378, 216504?
270630
What comes next: -5822, -11728, -17636, -23546?
-29458
What is next in -181, -1319, -4371, -10285, -20009, -34491, -54679?
-81521
What is next in 414, 150, -130, -432, -762, -1126, -1530?
-1980
What is the next term in 21, 29, 51, 93, 161, 261?
399
What is the next term in -82, -19, 52, 131, 218, 313?
416
What is the next term in -399879, -799767, -1199667, -1599585, -1999527, -2399499, -2799507, -3199557?
-3599655
What is the next term in -316, -829, -1678, -2857, -4360, -6181, -8314, -10753?
-13492
What is next in -5122150, -5122155, -5122172, -5122207, -5122266?
-5122355
What is next in -76, -465, -856, -1249, -1644, -2041, -2440?
-2841
What is next in 14730, 14627, 14354, 13827, 12962, 11675, 9882, 7499?
4442
What is next in -22450, -22448, -22446, -22444?
-22442
What comes next: 15883, 15878, 15873?
15868
What is the next term in 1924, 3782, 5640, 7498, 9356?
11214
What is next in -286, -284, -292, -316, -362, -436, -544, -692?
-886
What is next in -1840, -7258, -16290, -28936, -45196, -65070, -88558?
-115660
What is the next term in 5738, 5634, 5448, 5168, 4782, 4278?
3644
What is next in -18949, -37892, -56835, -75778, -94721?
-113664
What comes next: 7878, 7901, 7922, 7947, 7982?
8033
What is the next term in 3256, 6520, 9784, 13048, 16312, 19576?
22840
What is the next term in 412, 873, 1334, 1795, 2256?
2717
What is the next term in -2049, -1830, -1465, -954?
-297
What comes next: -402, -430, -494, -606, -778, -1022, -1350?
-1774
What comes next: -112, -282, -552, -922, -1392?
-1962
What comes next: 68, 492, 1260, 2372?
3828
What comes next: -15687, -31372, -47057, -62742?
-78427
What is next in 6756, 6662, 6568, 6474, 6380?
6286
What comes next: -606, -1241, -1864, -2463, -3026?
-3541
What comes next: -774, -803, -860, -951, -1082, -1259?
-1488
What is the next term in -13, -19, -7, 23, 71?
137
What is next in -1397, -2823, -4235, -5627, -6993?
-8327
What is the next term in 1663, 1767, 1867, 1963, 2055, 2143, 2227?
2307
What is the next term in 121, 145, 119, 37, -107, -319, -605?
-971
What is the next term in 3374222, 6748447, 10122672, 13496897?
16871122
What is the next term in 1526, 3140, 4922, 6956, 9326, 12116, 15410, 19292?
23846
What is next in -390, -1553, -3488, -6195?
-9674
What comes next: -57, -68, -113, -210, -377, -632, -993?
-1478
What is next in -36, 32, 206, 486?
872
What is the next term in 8568, 17244, 25924, 34608, 43296, 51988, 60684?
69384
What comes next: 10444, 20966, 31488, 42010, 52532, 63054?
73576
What comes next: 167, 592, 1277, 2222, 3427?
4892
What comes next: 2091, 2041, 1991?
1941
What is next in 4112, 4104, 4096?
4088
What is next in -430, -1784, -4066, -7276?
-11414
What is next in -28226, -28237, -28244, -28247, -28246, -28241, -28232?
-28219
What is the next term in 891, 987, 1083, 1179, 1275, 1371?
1467
What is the next term in 211, 742, 1643, 2920, 4579, 6626, 9067, 11908?
15155
What comes next: -48533, -97039, -145547, -194057, -242569, -291083?
-339599
What is next in -3797, -15063, -33829, -60101, -93885, -135187, -184013, -240369?
-304261
What is next in -1850, -3688, -5526, -7364, -9202?
-11040
What comes next: 16, 131, 402, 889, 1652, 2751, 4246?
6197
What is next in -451, -499, -547?
-595
What comes next: -995, -1540, -2085, -2630, -3175, -3720?
-4265
What comes next: -934, -940, -948, -964, -994, -1044, -1120?
-1228
What is the next term in -234, -342, -512, -774, -1158, -1694, -2412, -3342?
-4514
What is next in 64915, 64914, 64913, 64912?
64911
What comes next: 3036, 6069, 9102?
12135
What is next in -230, -155, -80, -5, 70?
145
What is the next term in -11798, -11790, -11776, -11756, -11730?
-11698
What is the next term in 10981, 10983, 10985, 10987, 10989, 10991?
10993
What comes next: -340, -1185, -2608, -4621, -7236, -10465, -14320, -18813?
-23956
What is next in 47322, 94595, 141854, 189093, 236306, 283487, 330630, 377729?
424778
What comes next: -177, -336, -487, -630?
-765
What is next in 171793, 171795, 171799, 171805?
171813
What is the next term in 155, 753, 1777, 3215, 5055, 7285, 9893, 12867?
16195
What is next in 4357302, 8714604, 13071906, 17429208, 21786510, 26143812?
30501114
What is next in -347, -491, -635, -779, -923, -1067?
-1211
What comes next: -30, -168, -490, -1074, -1998, -3340, -5178, -7590?
-10654
What comes next: -5687, -11377, -17067, -22757, -28447?
-34137
What comes next: -2037, -4094, -6151, -8208?
-10265
What is the next term in -3325, -13324, -29993, -53332, -83341, -120020?
-163369
What comes next: 325, 410, 497, 586, 677, 770, 865?
962
What comes next: -7874, -7868, -7850, -7814, -7754, -7664?
-7538
What is the next term in 3039, 2804, 2569?
2334
What is next in -3753, -3761, -3771, -3783, -3797, -3813?
-3831
What is the next term in -871, -839, -807, -775?
-743
What is the next term in 2731, 5508, 8285, 11062, 13839, 16616?
19393
What is the next term in -797, -804, -833, -896, -1005, -1172?
-1409
What comes next: -269883, -539761, -809639, -1079517, -1349395, -1619273?
-1889151
What is the next term in -1640, -1614, -1588, -1562, -1536, -1510?
-1484
What is next in 8, 98, 192, 290, 392, 498, 608?
722
What comes next: -32, -42, -34, -14, 12, 38, 58?
66
What comes next: -353, -348, -349, -356, -369, -388?
-413
What is the next term in -81, -88, -83, -72, -61, -56, -63, -88?
-137
What is the next term in -10412795, -10412784, -10412761, -10412720, -10412655, -10412560, -10412429, -10412256?
-10412035
What is the next term in -11985, -23975, -35965, -47955, -59945, -71935?
-83925
What is the next term in 3360, 3375, 3398, 3429, 3468?
3515
What is next in 12318, 24638, 36958, 49278, 61598?
73918
What comes next: 139, 362, 735, 1258, 1931, 2754, 3727?
4850
What is next in 1932, 3857, 5782, 7707?
9632
What comes next: 4809, 19019, 42703, 75861, 118493?
170599
What is the next term in -650, -616, -574, -524, -466?
-400
What is the next term in -9534, -19090, -28648, -38208, -47770?
-57334
What comes next: -7317, -7319, -7321?
-7323
What is the next term in -165, -121, 3, 249, 659, 1275?
2139
What is the next term in 366, 361, 390, 471, 622?
861
What is the next term in -1059, -1053, -1047?
-1041
What comes next: -3287, -3268, -3223, -3140, -3007, -2812?
-2543
What is the next term in 66, 17, -88, -267, -538, -919?
-1428
What is the next term in -395, -436, -503, -596, -715, -860?
-1031
What is next in -2200, -2244, -2288, -2332, -2376, -2420?
-2464
What is next in -5460, -10920, -16382, -21846, -27312?
-32780
What is the next term in -101, 55, 281, 565, 895, 1259?
1645
What is next in -16, -107, -388, -955, -1904?
-3331
What is next in -618, -490, -336, -144, 98, 402, 780, 1244?
1806
What comes next: -13520, -27036, -40552, -54068?
-67584
What is next in 5, 139, 675, 1871, 3985, 7275?
11999
What is the next term in -174, -707, -1606, -2871, -4502?
-6499
What is the next term in -1552, -1832, -2112, -2398, -2696, -3012?
-3352
What is next in 5843, 46507, 156879, 371813, 726163, 1254783, 1992527, 2974249?
4234803
What comes next: -7089, -7059, -7011, -6945, -6861?
-6759
What comes next: -115, -530, -1247, -2272, -3611, -5270, -7255, -9572?
-12227
What is next in -169038, -338085, -507132, -676179, -845226?
-1014273
What is the next term in -3169542, -6339082, -9508622, -12678162, -15847702, -19017242?
-22186782
What is the next term in 10808, 10815, 10834, 10871, 10932, 11023?
11150
What is next in 1539, 1448, 1357?
1266
What is next in 5753, 11504, 17255, 23006, 28757, 34508?
40259
What is next in 39874, 159505, 358890, 638029, 996922, 1435569, 1953970?
2552125
What comes next: 336, 433, 596, 825, 1120, 1481?
1908
What comes next: 5152, 10284, 15416?
20548
What is next in -80011, -320046, -720103, -1280182, -2000283, -2880406, -3920551?
|
{
"pile_set_name": "DM Mathematics"
}
|
39095 + 0.24198. What is r rounded to two decimal places?
-0.1
Let j = -4.6982 + 4.70819532. Let h = -0.01 + j. Round h to 7 decimal places.
-0.0000047
Let g be 4/(4 + -6)*(-7)/7. Suppose 16*m - 1022400000 = -g*m. Round m to the nearest 1000000.
57000000
Let l = 105 - 105.25. Let n = l - -0.2500032. What is n rounded to 6 dps?
0.000003
Let n = 230.211 - -12.509. Round n to the nearest 100.
200
Let g = 1.32054 - 0.09894. What is g rounded to two dps?
1.22
Let p = -6335.992966 - -6336. What is p rounded to 4 decimal places?
0.007
Let g = 7257.03 - 7230. Round g to the nearest ten.
30
Suppose 3*k + 3*z = 62985, k = 2*z + 906 + 20092. Suppose 4*w = -2*y - 0*w - k, w + 20999 = -2*y. What is y rounded to the nearest one thousand?
-11000
Let x(c) = 8*c - 37. Let d be x(5). Suppose d*w - 1 = 8, -5*w - 4339985 = -u. Round u to the nearest 100000.
4300000
Let z = 12.407 + -12.407035468. What is z rounded to 6 dps?
-0.000035
Let t = 42.7 + -25.4. Let z = t + -14. Let d = -3.299696 + z. Round d to five decimal places.
0.0003
Suppose r + 12252 = 5*n, 5*r + 4*n + 60307 + 953 = 0. Round r to the nearest ten thousand.
-10000
Suppose 3 = -3*l + 12. Let p be (l/((-18)/61125))/((-2)/3200). Round p to the nearest 1000000.
16000000
Let o = -7903 + 7902.99993014. Round o to 6 dps.
-0.00007
Let v = 6073 + -6073.029. Let c = -20.55736 + 0.02836. Let z = v - c. Round z to the nearest ten.
20
Let q = 38 - 111. Let l = 41 + q. Let m = l + 31.48. What is m rounded to one decimal place?
-0.5
Let k = 49 + -12. Let q = -36.7805 + -0.1295. Let c = k + q. What is c rounded to 1 decimal place?
0.1
Let a = 0 + -16. Let r = a - 18. Let t = 34.0000075 + r. Round t to 6 decimal places.
0.000008
Let a = -332536872.98463 + 332540191. Let q = 3318 - a. Round q to two dps.
-0.02
Suppose 3*v - 5*o = 2274010, 3*o = -4*v + 7*o + 3032000. Suppose -6*f = 2*g - f - v, 2*g + f = 757999. Round g to the nearest one hundred thousand.
400000
Let h = 9737 + -14159. Let c = h + 4453.67. Let u = c - 1.37. Round u to the nearest integer.
30
Let l = 274756105800 - 274756105373.999999371. Let y = 0.0913 - 426.0913. Let k = y + l. Round k to seven dps.
0.0000006
Let m = -3639 - -3639.000000803. What is m rounded to six decimal places?
0.000001
Suppose -89565 = -32*s + 347943 + 51260. Round s to the nearest one thousand.
15000
Let f = -61 - -61.02. Let i = f - -0.45. Let z = 0.469998 - i. Round z to seven dps.
-0.000002
Let q(w) = 13*w + 3. Let y = 66 - 17. Suppose 0 = -a - 2*z - 21, z = -4*a - 0*z - y. Let i be q(a). What is i rounded to the nearest ten?
-140
Let x = 4.0810158 + 419.9151242. Let q = -10.16 + 434.16. Let m = x - q. What is m rounded to 4 dps?
-0.0039
Let b = 2943.5 - 3423.69. Round b to the nearest 10.
-480
Suppose -a - 15 = 7. Suppose 4528 - 3403 = -9*z. Let r = a - z. What is r rounded to the nearest 10?
100
Let c = -7.850046 - -7.864. Round c to 3 decimal places.
0.014
Let w = -51 + 51.061. Let z = -156.261 + w. What is z rounded to the nearest ten?
-160
Let x = 10.24 + -31.284. Let v = -0.044 - x. Let c = -19.64 + v. What is c rounded to one decimal place?
1.4
Let y = -6676.8 + 6532. Let s = -94.147 + 0.047. Let a = y - s. What is a rounded to zero dps?
-51
Let m = 24225 + -21584.4. What is m rounded to the nearest ten?
2640
Let c = -408.162 - -408. Let b = -0.0628 - c. What is b rounded to three dps?
0.099
Let o = -8960 - -8931.273. Round o to the nearest 10.
-30
Let z = 0.4106 + -0.438976. Round z to 4 dps.
-0.0284
Let v = -4904.86894 - -0.46894. Round v to the nearest ten.
-4900
Let w = -14.964 + 15. Let h = -0.198 + 0.2. Let b = h + w. What is b rounded to 2 dps?
0.04
Let z = -20816982.99634 - -20816707. Let g = 276 + z. What is g rounded to three decimal places?
0.004
Let m = -1576 + 2679. Let y = m - 674. Let v = y + -429.0000319. Round v to six dps.
-0.000032
Let m = 79027 + -79026.41779. What is m rounded to 1 decimal place?
0.6
Let i = -78129.0245793 - -78129. Let d = 0.2508 + -0.2262. Let p = i + d. Round p to six dps.
0.000021
Let w = -53.88 - 0.12. Let p = 5 + w. Let v = 48.9999809 + p. What is v rounded to six decimal places?
-0.000019
Let b = 14.76 - 1.46. Let r = 1367576493 + -1367576506.30000114. Let i = b + r. What is i rounded to seven dps?
-0.0000011
Let z = 835.6015738 + -835.6. Round z to 5 dps.
0.00157
Let s = 246986 - 248116.97. Round s to the nearest one hundred.
-1100
Let k = 82.768 + -82.94. Round k to two dps.
-0.17
Let w(p) = p**2 - 23*p + 88. Let o be w(29). Let d = o + -1880. Round d to the nearest 100.
-1600
Let g = 769691 - 769851.0076. Let a = g - -160. What is a rounded to 3 dps?
-0.008
Let u = -11561 - -11560.86693. Round u to one dp.
-0.1
Let m = 37.1 - 38.3196. Round m to 1 decimal place.
-1.2
Let m = -456130.0844606 + 456130. Let n = 0.19645926 + m. Let a = -0.112 + n. What is a rounded to 7 decimal places?
-0.0000013
Let t = 0.16491 + -0.164845364. What is t rounded to five decimal places?
0.00006
Suppose 4*g - q = -1642185, -3*g - 1100122 = 4*q + 131493. Let p = g - -242547. Let h be (-36)/54 + (1 - p/6). Round h to the nearest one thousand.
28000
Let n = 77.99 + -77.9905409. Round n to four dps.
-0.0005
Let i = 355.144 + -355. Let b = 19.85071 + -19.9946813. Let w = i + b. What is w rounded to 5 decimal places?
0.00003
Let l = -56 - -109. Let s = l + -103. Let j = -49.999714 - s. What is j rounded to 5 dps?
0.00029
Let d(y) = -96*y**2 - 116*y - 330. Let g be d(-30). What is g rounded to the nearest one hundred thousand?
-100000
Let h be (-480)/(-60) + 10521791 + (-8 + 5 - -4). Round h to the nearest 10000.
10520000
Let u = -32619 - -32618.99993373. What is u rounded to 6 dps?
-0.000066
Suppose 3*v - 899 = -t - 2*v, -4*t + 3665 = -3*v. Suppose m = -2*f - t, -3*m = -0*f - f + 2714. Round m to the nearest one hundred.
-900
Let h = 3269854.5008 - 3269662.10080941. Let g = h - 192.4. What is g rounded to 6 dps?
-0.000009
Let d = 43.668 + 430.772. Round d to the nearest ten.
470
Let i = 1979.758 - 1978. Let f = 1.75801509 - i. What is f rounded to six decimal places?
0.000015
Let w = -207.3343158 - -207.32. What is w rounded to three decimal places?
-0.014
Let j = 24.2 - -789.8. Let m = -814.1577 + j. Round m to two dps.
-0.16
Let x(t) = -158 - 144*t**2 + 162 + 18*t**2. Let s be x(-2). What is s rounded to the nearest 10?
-500
Let c = -8033 - -8376.92. What is c rounded to zero dps?
344
Let c = -46.6 + 55. Let y = c + -8.41484. Round y to 2 dps.
-0.01
Let h = -26155.9 - -25497. What is h rounded to the nearest 100?
-700
Let d = 317.69 + -318. Let b = d + -9.86. Round b to the nearest integer.
-10
Let z(d) = d + 10. Let b be z(-8). Let j be b/(-4)*-4*1/(-2). Let p(w) = -273001*w**3 - 2*w**2 + 1. Let n be p(j). Round n to the nearest ten thousand.
270000
Let y = 7.3 + -6.8. Let i = -0.4695 + y. Round i to three dps.
0.031
Suppose p - 2*y = -2 - 4, -3*p + 3*y - 9 = 0. Suppose p = 20*r + 352439425 + 185560575. Round r to the nearest 1000000.
-27000000
Suppose 0 = 3*c + 5*q + 20128, 9136 = -c - q + 2430. Let o = c + 4161. Round o to the nearest 100.
-2500
Let s(v) be the second derivative of -v**4/12 - 5*v**3/3 + 9*v**2 - 5*v. Let k be s(-15). Let g = -28 - k. What is g rounded to the nearest ten?
30
Suppose -8*f + 165 - 21 = 0. Let x(i) = -780001*i**2 - 16 - 8 + f + 7*i. Let p be x(1). Round p to the nearest 100000.
-800000
Suppose -106*u - 3*d = -110*u - 20427979, -4*u - 20427986 = -2*d. Round u to the nearest 100000.
-5100000
Let k = -0.19 - 4.41. Let q = k + 4.79. Let p = q - 0.190074. What is p rounded to 5 dps?
-0.00007
Let j = 73 + -21. Let r = j + -52.042. Let g = r + 0.0401. Round g to 3 dps.
-0.002
Suppose 0 = -51*n + 49*n - 5120880. What is n rounded to the nearest 10000?
-2560000
Let r = -56.5299991706 + 56.53. Round r to 7 dps.
0.0000008
Let w = -61 + 64. Suppose -w*g = 3*t + 61 + 14, 3*g - 2*t + 90 = 0. Round g to the nearest ten.
-30
Let d = -10444 - -9182.6. Round d to the nearest 100.
-1300
Let q = 552 - 471. Suppose q*h = 56*h - 1175. What is h rounded to the nearest 100?
0
Let r = -3063.00205 + 0.00205. Let p = r + 3062.3956. Let w = -0.6 - p. Round w to 3 dps.
0.004
Let z = -5879.477978 - -5862.278. Let t = z - -17.2. Round t to 6 decimal places.
0.000022
Suppose 0 = 5*r - 2*g + 23 - 163, r + g = 28. Suppose -r = 5*m - 53. Suppo
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 2 + 3) + 5*d - 4*d - 3*d.
380*d
Expand 81*b + 40*b + 210*b + (-4*b + 1 - 1)*(0 + 1 + 0) + (4 + 3 - 2)*(-1 - b + 1).
322*b
Expand (-370 - 141 - 200)*(j - 2 + 2) + 4 - 993*j + 956*j - 4.
-748*j
Expand (1 + 1 + 0)*(186 - 12*a**2 - 186) + 11*a**2 - 6*a**2 - 29*a**2.
-48*a**2
Expand (-1 + 0 + 0)*(-61094*a**3 - 1 + 61094*a**3 + 5910*a**5).
-5910*a**5 + 1
Expand (-1 + 4 - 4)*(18304 - 18304 - 132*s)*(-2*s - 2*s**2 - 2*s + 0*s).
-264*s**3 - 528*s**2
Expand (1683 - 1683 + 628*i**2)*(2 + 2 + 0)*(3 + i - 3).
2512*i**3
Expand (0 + q**3 + 0)*(0 + 2 - 4) + 2 - 2 + q**3 + 7*q**3 - 28 + 28 + q**2 - q**3 - 9*q - 39456 + 39455 + 3*q**2.
5*q**3 + 4*q**2 - 9*q - 1
Expand 74 - 74 + 279*r + (2*r - 2*r - r)*(11 - 8 + 13)*(0 - 3 + 2).
295*r
Expand (-5 + 1 - 1)*(432*r - 138*r + 535*r).
-4145*r
Expand (-3 - 1 + 2)*(5*q**2 - 2*q**2 + 2*q**2)*(19*q**3 - 28*q**2 + 28*q**2).
-190*q**5
Expand -1 + i**3 + 1 + (i**3 + 3*i**3 - 3*i**3)*(4 - 4 + 2) - 3*i**3 + 3*i**3 - i**3 - i**2 + i**3 + i**2 + 274*i + 100*i - 401*i + 85*i**3.
88*i**3 - 27*i
Expand -2*r + r + 2*r + (-2*r - r + 5*r)*(5 - 2 - 1) + 13*r - 11*r + 14*r + 3*r + 3 - 3 + (1 - 3 + 4)*(7*r - 3*r - 5*r).
22*r
Expand -h - 2*h**2 + h + (-47671 + 47669 + 12*h - 93*h)*(h - h - 2*h).
160*h**2 + 4*h
Expand (0*d - 2*d + d)*(28*d**2 + 20*d**2 - 5*d**2) + 4*d**3 - 2*d**3 + d**3 + 3*d**2 - 3*d**2 + 2*d**3 + (d - 3*d + 4*d)*(d**2 + 0 + 0).
-36*d**3
Expand (-6*h + 11*h + 7*h)*(32*h**3 - 49*h**3 - 31*h**3).
-576*h**4
Expand (100 + 15 + 224)*(f - 2*f + 0*f + (f - 1 + 1)*(0 + 3 - 5) - 2*f - f + 4*f + 2*f - 5*f + f + 5*f - f - 5*f - f - f + 4*f).
-1017*f
Expand (-1807*h + 1807*h + 1415*h**2)*(0 + 1 + 0 - 2*h).
-2830*h**3 + 1415*h**2
Expand -2*t**2 - 3*t**2 + 3*t**2 + (-t - 4 + 4)*(-4 + 4 - t) + 2*t + 3 - 26*t**2 + 5 + 25*t**2.
-2*t**2 + 2*t + 8
Expand (-2*i**3 + 6*i**3 - 3*i**3)*(-i + 3 - 3) + 51247 - 51247 + 10700*i**4.
10699*i**4
Expand (3*g - 6*g + 2*g)*(-2029 + 2712 + 1559 + 4016).
-6258*g
Expand (-3 + 3 + 2)*(2*w + 0*w + 0*w)*(2*w + w - 2*w + 0*w + 0*w - 2*w + (1 + 0 + 2)*(-2*w + 165*w + 75*w)).
2852*w**2
Expand (-4*h - 4*h**2 + 4*h)*(-4*h - 2*h - 23136*h**2 + 8255*h**2 + 5*h + 0*h).
59524*h**4 + 4*h**3
Expand (-8*g**2 - g + g)*(2 - 2 - g + (0 + 0 - 2)*(g - 3 + 3) + 2*g - g - 3*g) + (0*g + g + 2*g)*(-g**2 + g**2 + g**2) - 40*g**3 - 50*g**2 + 50*g**2.
3*g**3
Expand (-135*h + 1143*h + 1022*h)*(-2 + 2 - 2*h**2).
-4060*h**3
Expand (r**3 + 0*r**3 - 3*r**3)*(-5 + 4 + 5) + (3 + 3 - 10)*(-r**3 + 2*r**3 + 4*r**3) + r + 2*r**3 - r + 3*r**3 + 4*r - 4*r.
-23*r**3
Expand -19*f**4 - f + 35*f**4 + 2*f + 2*f**4 - 2*f**2 + 2*f**2 + (2*f**2 + 2*f**2 - 5*f**2)*(-f**2 - 4*f**2 + 4*f**2) - 5*f**4 - 40*f + 40*f.
14*f**4 + f
Expand (-4*z + 0*z + z)*(347*z + 148*z + 297*z).
-2376*z**2
Expand (-24 + 25 - 91)*(-49*c - 62*c**3 + 49*c).
5580*c**3
Expand (13*j - 18*j + 13*j)*(9*j**3 - 49*j**2 + 3 + 43*j**2 - 2).
72*j**4 - 48*j**3 + 8*j
Expand (-2 + 5 - 5)*(-153*m - 58 + 58) - 5*m + m + 3*m.
305*m
Expand (-135*o + 45*o**3 + 135*o)*(-2*o - 2 + 2) + 5*o**4 - 9*o**4 - 7*o**4 + (2*o**4 - 3*o**4 + 2*o**4)*(3 + 1 + 0).
-97*o**4
Expand (3*x + 2 - 2 + (-40*x + 23*x - 17*x)*(-2 + 3 - 4))*(-2 - 1 + 1)*(-11*x - 2 + 3 - 3).
2310*x**2 + 420*x
Expand (6*k**3 - 3*k**3 - 2*k**3)*(318 + 342 + 1123).
1783*k**3
Expand (1 - 1 + b)*((-3 + 4 + 1)*(-2*b + 1 - 1) - 83*b - 1651 + 1651).
-87*b**2
Expand 0*y**2 - y**2 + 0*y**2 + (0 - 1 + 2)*(-2*y**2 + 0*y**2 + y**2) - 3*y + 3*y + 4*y**2 + (0 - 2 - 2*y + 3)*(1709*y + 1261*y + 310*y).
-6558*y**2 + 3280*y
Expand (-z - 12*z - 18*z)*(23*z - 11*z + 146*z).
-4898*z**2
Expand -1 + 2*z**2 - 6 + 0 + 161577*z - 570*z**2 - 161577*z + 4*z**2 + 0*z**2 - 5*z**2 + (-4*z**2 + z**2 + 5*z**2)*(4 - 4 - 1).
-571*z**2 - 7
Expand (-1 - 10 + 3)*(100*q - 102*q + 63*q)*(-2 + 4 + 0).
-976*q
Expand (-322 + 322 - 20*y)*(-145 + 145 - 30*y) + (0 + 0 - 2)*(2*y**2 - 1 + 1).
596*y**2
Expand (-1 + 0 - 1)*(-7*o + 29*o + 2*o)*(-44*o**3 + 4*o**3 - 8*o**3).
2304*o**4
Expand (j - 2*j**3 - j)*(j - j + j)*(38 - 147 - 35)*(-2*j + j + 1 - 3).
-288*j**5 - 576*j**4
Expand (-500 + 500 + 94*k)*(-2*k**3 + 3*k**3 + 0*k**3) + (-2 + 2 + 1)*(0*k**4 + 5*k**4 - 2*k**4).
97*k**4
Expand (0*n**3 + n**3 - 3*n**3)*(-15 + 26 + 13)*(11*n - 3*n + 1 - 2).
-384*n**4 + 48*n**3
Expand ((0 + 1 + 1)*(4*y + 0*y - 2*y) + (2 + 1 - 4)*(0*y + 0*y + y) + y + 0*y - 2*y)*(57*y**2 - 63*y**2 + 251*y**2) + (4 + 3 - 5)*(y**3 + 3*y**3 - 2*y**3).
494*y**3
Expand (0*b - 2*b**4 + 0*b)*(b - 3 + 3) - b**4 + b**4 + 2*b**5 + (b - 4*b + 5*b)*(-2*b**2 + 2*b**2 - 2*b**4) - 1821*b**5 - 3426*b**5 + 1691*b**5.
-3560*b**5
Expand q**5 - 5*q**5 + 0*q**5 + 2*q**5 + 3 - 3 + (-4 + 6 + 0)*(2*q**5 - 4*q**4 + 4*q**4) - 145*q**5 - 121*q**5 - 66*q**5.
-330*q**5
Expand (4*v + 4*v - 6*v)*(-5 + 5 - 3) + 34*v - 7*v + 13*v.
34*v
Expand (z - 3*z - 7*z)*(1 - 5 - 1)*(61 + 49 + 154 + 30).
13230*z
Expand (2*u - 2*u - 2*u)*(3 + 8 - 1) + u + u - u - 179*u + 79*u - 156*u.
-275*u
Expand (-128*d + 28*d + 63*d)*(31 + 20 + 32).
-3071*d
Expand 295 - 1078*h + 1083*h - 290 + (1 + 6 - 5)*(-5*h + 2*h + h).
h + 5
Expand (2203 + 532 - 593 + 5239)*(o + o + 0*o)*(-o - 2*o + o).
-29524*o**2
Expand (52 - 52 - 21*w)*(-5*w - 2*w + 2*w + (3*w - 3*w + 2*w + (-4 + 1 + 2)*(0*w + 0*w + w) + 4*w - 4*w + 16*w)*(1 + 2 - 4)).
462*w**2
Expand (2*s - 3*s + 3*s)*(s - s - s**2)*(0 - 10 + 21)*(5 - 2 + 2)*(4 - 2 - 1)*(4*s + 0*s - 2*s).
-220*s**4
Expand ((-3*n + 4*n - 4*n)*(0*n + 0*n - 2*n) - 2*n**2 + n**2 + 2*n**2 + n**2 - n**2 + n**2)*(1038 - 207 - 407).
3392*n**2
Expand (11*p - 1 + 0*p - 6*p)*(-314 - 184 + 7*p - 8*p).
-5*p**2 - 2489*p + 498
Expand (6*i + 0*i - i)*(-5 + i + 5)*(-4 - 1 + 4)*(0*i**3 + 4*i**3 - 9*i**3 - 10*i**3 - 2*i**3 - i**3 + (-i**2 + 0 + 0)*(-2*i + i - i)).
80*i**5
Expand (-274*c + 611*c + 631*c + 224*c)*(-6*c**2 + 2*c**2 + 5*c**2 + 4*c**4).
4768*c**5 + 1192*c**3
Expand (-28 + 220*k + 17 - 68*k + 11)*(186 + 205 - 348).
6536*k
Expand y**5 + 0*y**5 + 0*y**5 + 930*y**5 - 646*y**5 - 614*y**5 + (0*y + 2*y - 4*y)*(0*y + y**4 + 0*y).
-331*y**5
Expand (19*c**2 + 455 - 455)*(44 - 67 - 208) + 0*c**2 + 4*c**2 - 3*c**2 + (3 + 4 - 5)*(-2*c**2 + 6*c**2 - 2*c**2) + 5*c**2 + c**2 - 4*c**2.
-4382*c**2
Expand (-2*d**2 + 11*d**2 + d**2)*(-2346*d - 757*d**2 + 4688*d - 2342*d).
-7570*d**4
Expand (-1 + 4 - 1 - 4 + 0 + 2 + (0 - 1 + 0)*(-4 + 0 + 5) - 1 + 5 - 3 - 1317 - 500 - 529)*(2*s**4 + s**4 - s**4).
-4692*s**4
Expand (-123 + 123 + z)*(5*z - 54 + 54)*(0*z**3 - z**3 + 0*z**3).
-5*z**5
Expand (6*j - 57*j + 9*j)*(6*j - j + 0*j)*(2*j + 0*j + 0*j)*(4 + j**2 - 4).
-420*j**5
Expand 14*w**4 + 17*w - 17*w + 6*w**4 - 3*w + 3*w + (2*w**4 + 0*w**4 + 2*w**4)*(5 - 4 - 3) + (-3*w**2 + 4*w**2 + 2*w**2)*(2*w**2 + 0*w + 0*w).
18*w**4
Expand (-2*i + 12 + 19 - 30)*(3 - 2 + 0)*(-1 + 3 - 6)*(0 - 1 - 1).
-16*i + 8
Expand (5*q + 3*q**3 - 5*q)*(-199 - 3109*q**2 + 1557*q**2 + 1549*q**2).
-9*q**5 - 597*q**3
Expand -4*p**3 + 0*p**3 - 7*p**3 - 3*p**3 - 7*p**3 - p**3 + (-2*p**2 + 2*p**2 + p**2)*(-p + 0*p - p) + 2*p**3 - p**2 + p**2 + 9*p**3 + p**3 - 3*p**3.
-15*p**3
Expand (u**3 - 9309*u**2 + 9295*u**2 - 13*u - 38*u)*(u**2 - 1 + 1).
u**5 - 14*u**4 - 51*u**3
Expand (2*i + 8*i - 6*i)*(-122 + 122 - 3*i) - 2*i**2 - 3*i + 3*i + (-1 + 1 - 2*i)*(-2*i + 4*i - 3*i)*(1 + 5 + 2).
2*i**2
Expand (-2*z - 3*z + 9*z)*(15 + 21 - 37 + 20).
76*z
Expand (-4 + 2 - 2)*(142 - 285 + 140)*(-2*p - 4*p**2 + 2*p).
-48*p**2
Expand (3 + 0 - 2)*(290*i**4 - 1063*i**4 + 282*i**4)*(0*i + i - 2*i).
491*i**5
Expand 11 + 1547*f**3 - 1548*f**3 - 66 + (f**2 + 3*f**2 - 13*f**2)*(-3*f + f + 0*f).
17*f**3 - 55
Expand (493*v**2 + 405*v**2 - 274*v**2)*(5 + 10 - 5)*(-v**2 + v**2 + v**3).
6240*v**5
Expand (3 - 3 + 3*a)*(-3*a + 3*a + 2*a) + (2*a - 4*a + 0*a + (-5 + 4 - 1)*(-5 - 2*a + 5) - a + 2*a + 2*a)*(15*a - 19*a - 24*a).
-134*a**2
Expand (-3*y + 0*y + 2*y)*(1 - 4 - 1) + 1362*y + 402*y + 148*y.
1916*y
Expand (-160*c + 67 - 67)*(-3*c**3 + 3*c**3 + 55*c**2 + 57*c**4 - 55*c**2).
-9120*c**5
Expand (5*l + 0*l + 3*l)*(11*l + 8 - 8) - 2*l**2 + 0*l**2 - 2*l + l.
86*l**2 - l
Expand ((-214 + 214 - 11*b)*(2*b + 2 - 2) - 51*b**2 + 25*b**2 - 51*b**2)*(3*b - b - 3*b).
99*b**3
Expand (5 - 5 + 1)*(-6 + 6 - 6)*(464*y + 463*y - 630*y).
-1782*y
Expand (-40*w + 0*w - 30*w)*(-52*w + 66 - 66).
3640*w**2
Expand 2 + 0*g**3 - 1 + 2*g**3 + (2*g**3 - 4*g**3 + g**3)*(-355 - 558 +
|
{
"pile_set_name": "DM Mathematics"
}
|
of j**3 + 17*j**2/2 + j + 3. Is i(q) composite?
True
Let d = 8948 - 3976. Suppose 0 = a + 3*h - 12563, 4*h = 2*a - 20174 - d. Is a prime?
True
Suppose -2*f = -3*c - 37162, 3*f = f - 4*c + 37190. Let q = f + 4910. Is q a composite number?
False
Let d = 57 + -43. Suppose 5*i - m = 34, i + 5*m - d = -2. Suppose 0 = -8*u + i*u + 573. Is u a composite number?
True
Let w = -337996 - -1249191. Is w a prime number?
False
Is (277/4)/((1350/(-12840))/(-45)) a prime number?
False
Let v = -8154 + 17863. Let g be ((-26)/8)/(8/(-32)). Suppose -g*x = -6*x - v. Is x a composite number?
True
Let k be 1336622/91 - ((-45)/(-39) + -1). Suppose 4*v - 9657 = x + k, 5 = -x. Is v prime?
False
Suppose a - 3 = -6. Let p be ((-48)/(-42))/(a/(-21)). Let f(v) = 35*v + 13. Is f(p) a composite number?
False
Let g = -4124 - -2891. Let z = 1874 + g. Is z prime?
True
Suppose -42686 - 61094 = -20*h. Let a = h + -3078. Is a a composite number?
False
Suppose 7256604 = 25*f + 99*f. Is f prime?
False
Let p(g) = -12*g**3 + 3*g**2 - 2*g - 9. Let s(c) = -c**3 - 8*c**2 + c + 4. Let v be s(-8). Let w be p(v). Suppose -5*q + 960 + w = 0. Is q a composite number?
True
Let o(m) = m**2 - 19*m + 51. Let j be o(16). Suppose -x = -5*x - 4, 5*g = j*x + 558. Let a = g - 58. Is a composite?
False
Let d(u) be the second derivative of -2889*u**5/20 - u**3/2 - 5*u**2/2 + 24*u. Is d(-2) composite?
True
Suppose -2*i = -2*h - 1357 + 109, 4*h = -4*i - 2528. Let z = h + -730. Is (3 + z/4)*-2 composite?
False
Let u(x) = 774*x**2 - x + 19. Suppose 779*j + 12 = 783*j. Is u(j) composite?
True
Suppose 38*h - 588832 = 459702. Is h prime?
False
Let u be -327*1/3*173. Let b = u - -27358. Is b a prime number?
True
Let l be 3*(-3 - -5 - 16/6). Let j(h) = -1 - 2*h + 4*h - 87*h**3 + h**2 - 264*h**3. Is j(l) a composite number?
True
Let l be (-3 - 57/(-15))*(27 - -3). Suppose 0 = 2*g + 14 - l. Suppose 3*p = -q + 1190, -3*q - g*p + 4*p + 3546 = 0. Is q a composite number?
False
Suppose 0 = 5*p - 2 - 3, p - 1 = 3*z. Let q be (-440)/(-132)*(1 + z + -4). Let a = q - -53. Is a a composite number?
False
Suppose -6 = -3*a, b + 4*a - 6*a = -6. Let q be -177*(1070/(-15) - b). Suppose h - q = -3*j, 2*h = 4*j - 3*h - 16369. Is j a prime number?
True
Let c be (-28)/(-12) - (-2)/(-8 - -2). Let s be -10*3/(-4)*c/3. Suppose 4*d - 480 - 1144 = -4*g, -s*d - 25 = 0. Is g a prime number?
False
Suppose -4*c + 763948 = 4*w, 2*w = -23 + 39. Is c prime?
True
Suppose 5*k - 4*c + 12 = 0, -26*c = -21*c + 10. Let i(z) = -480*z - 35. Let u(w) = 160*w + 12. Let b(g) = 3*i(g) + 8*u(g). Is b(k) a prime number?
True
Suppose -2*x = -4*x - 2*w - 8, -4*w = -x + 1. Is 4398 - ((-1)/(-5))/(x/15) a composite number?
True
Is 9 + -5 + -5 - -229064 composite?
True
Suppose 29*n - 168 = 22*n. Suppose -n*g + 36*g = 22812. Is g a composite number?
False
Let h(w) be the second derivative of 2165*w**4/12 - w**3 - 9*w**2/2 + 9*w + 4. Is h(-2) composite?
False
Suppose 2*n + 4*s + 182 = 0, -5*n = -s - s + 419. Let o = -34 - n. Suppose -z = 4*m - 57 - o, m + z - 30 = 0. Is m a prime number?
False
Let i(n) = 26566*n**2 - 44*n - 79. Is i(-2) prime?
True
Suppose -5*k - 7*k = -912. Suppose -80*g + k*g + 124 = 0. Suppose -g = -l + 114. Is l a composite number?
True
Let r(s) = -362*s + 9. Let a(z) = z**2 + 13*z + 15. Let d be a(-12). Let w be r(d). Is (1 + 1 + -3)*w prime?
False
Let p(d) = 9609*d + 191. Let i be p(16). Suppose -4517 = 18*h - i. Is h composite?
True
Suppose -16 = -4*d, -9*c = -10*c + d - 1. Suppose c*i + 10965 - 51468 = 0. Is i composite?
True
Let n(m) be the first derivative of 17*m**6/360 + 13*m**5/120 + m**4/24 - 26*m**3/3 + 20. Let b(f) be the third derivative of n(f). Is b(6) composite?
False
Let n be -6*((-7)/2)/(-7) + 7. Suppose -4*b - 4*x = n, 2*b - 21 = 5*x + 5. Suppose 1048 = -b*k + 4651. Is k composite?
False
Let t = -102105 - -143374. Is t composite?
False
Let l(v) = -v**3 + 18*v**2 + 41*v - 26. Let f be l(20). Is (51/f)/((-2)/236) a composite number?
True
Suppose 12 - 4 = -4*v. Let r be 101/(-3)*(10 - (-2)/v). Let h = 494 + r. Is h a prime number?
True
Is (-365223)/(-15) + 204/(-170) composite?
True
Let a(z) = 2*z - 23. Let w be a(11). Let y(s) = -s**3 + s**2 + 1. Let l(t) = 5*t**2 - t + 13. Let q(r) = w*l(r) + 2*y(r). Is q(-6) a composite number?
False
Suppose -v + x + 100738 = 0, 8*v - 3*v - 2*x = 503675. Is v prime?
True
Suppose 3*j = 15, -2*t = -3*j + 2*j - 53. Let a = t + 182. Is a a composite number?
False
Suppose -9*x = -80 - 100. Suppose 2*h - 4 = 2*t + 5*h, t - x = 4*h. Suppose -m = t, 4*s + 5*m - 8500 = 3*m. Is s a prime number?
False
Let h be (((-9)/(-45))/(3/25))/((-15)/(-108)). Let t(k) be the third derivative of 10*k**4/3 - 23*k**3/3 + k**2. Is t(h) a composite number?
True
Let t(b) be the third derivative of 1043*b**4/12 + 29*b**3/6 + 154*b**2. Is t(2) composite?
False
Suppose -39*z + 31*z + 40 = 0. Suppose -4*w - z*t = w - 57715, -w + 4*t = -11523. Is w a prime number?
False
Let k = -26 - -30. Let l(u) = u - 6. Let y be l(11). Suppose y = q, -3*q - 456 = w - k*w. Is w prime?
True
Let q(i) = i**2 - 7*i + 14. Suppose 3*w + 16 = -5*m + 3*m, 4*w = 4*m + 52. Let s be q(m). Suppose 6*b - 4*b - s = 0. Is b prime?
False
Let d be 25/20 + (-6)/(-8). Suppose -5*o + l = -435, -2*o + 160 = -d*l - 22. Is o a prime number?
False
Suppose 5 - 1 = 2*x. Suppose -n + x*n = 4. Suppose 0 = g - n, -2*g = -4*l + g + 3616. Is l a composite number?
False
Let v = -108 - -63. Let c be 0/(v/(-55) + (-4)/(-22)). Suppose -3*q - 12 = c, 4*y + 5*q + 4130 - 18154 = 0. Is y a composite number?
False
Let o = -3761 - -6471. Suppose 5*d + o = -2355. Let v = -600 - d. Is v a prime number?
False
Suppose -65134 = -609*u + 607*u. Is u composite?
True
Suppose -26*l + 48 = -30*l. Is 17562/l*-1*(2 + 0) a prime number?
True
Let k(p) = p - 14. Let m be k(11). Is 1/m - (-27440)/15 prime?
False
Let r(d) = 30*d**2 - 643. Is r(-33) prime?
True
Let b be 26/8 + (-18)/(-24). Suppose 0 = b*a - 11936 - 2700. Is a a composite number?
False
Let r be (5/3)/(-1 + (-16)/(-12)). Suppose -r*k + 5159 = 4*j, 4*j = -k + 6*k + 5169. Is j prime?
True
Let s(z) = z**3 - 11*z**2 - 14*z + 27. Let j be s(12). Is j/((-39)/(-2)) - 393680/(-247) a prime number?
False
Let d = 4380 + -2623. Is d composite?
True
Let z be 26/247 + (-1022)/(-38). Suppose 0 = 6*o - z - 141. Is 147/o - 5 - 435/(-4) prime?
True
Let j be (-7 + -75 - -1) + 9. Is (-211128)/j - (-4)/6 composite?
True
Let n(d) = 52*d**2 - 7*d - 8*d - 39*d**2 - 4 + 61*d**2. Let v(s) = -73*s**2 + 14*s + 5. Let f(b) = -2*n(b) - 3*v(b). Is f(8) a composite number?
False
Suppose 2*m = 2*r - 95126, r = -4*m - 4*r - 190234. Let i = m + 79758. Is i prime?
False
Suppose 3*n + 4*g - 2344361 = 0, -n + 526142 + 255328 = -g. Is n composite?
True
Is (-13)/(-2)*309564894/6513 a composite number?
True
Suppose -5*f + 10*f - 537539 = 2*i, -2*f = -5*i - 215024. Is f composite?
False
Let m = -102254 - -325921. Is m a composite number?
False
Suppose 0*b - 2*b = -3498. Let d = b + -1012. Let h = -406 + d. Is h composite?
False
Let z(j) = -29*j - 156. Let w be z(16). Let k = w + 1611. Is k composite?
False
Suppose 404755 = 6*k - 316463. Is k composite?
True
Let y = 314 + -281. Let h = y + 3793. Is h a prime number?
False
Let f(d) = d**3 - 12*d**2 - 33*d - 5. Let l be f(-10). Let j = l - -3821. Is (0 + -1 + 2)/(2/j) a prime number?
False
Let k(c) be the first derivative of 452*c**3/3 - c**2 + c - 35. Let g(t) = t - 1. Let w be g(2). Is k(w) a composite number?
True
Suppose 14*p = 7 + 21. Suppose -o + 3719 - 35897 = -4*j, 40229 = 5*j + p*o. Is j a composite number?
True
Suppose -2007 = 4*x + 4453. Let f = 5356 + x. Let y = f - 1802. Is y prime?
False
Suppose -4*u + 3740 + 800 = 0. Suppose 37 = 4*y - u. Is y a composite number?
False
Let g be (7 + -997)*(-1)/2. Let x = -299 - -73. Let n = g + x. Is n composite?
False
Is (-8 + 9 + 66)*(23 + 3770) a prime number?
False
Let x(s) = 78580*s**2 + 1. Is x(1) a composite number?
True
Let z(n) = -n**3 - 21*n**2 - 5*n - 103. Let q be z(-21). Let i = 3 - 0. Suppose -425 = 2*j - 4*p - 1775, 2001 = i*j + q*p. Is j a composite number?
True
Let z(b) = 27*b**2 + 7*b - 9. Suppose -3*h = 0, -2*s - h = -4*s. Suppose 0 = -8*w + 3*w - i - 28, 2*w + 4*i + 4 = s. Is z(w) composite?
True
Suppose -5*y - 329555 = -10*y + 712110. Is y a prime num
|
{
"pile_set_name": "DM Mathematics"
}
|
c**3 - 2 - 6*c**2 in the form a*c + i*c**3 + g*c**2 + f and give i.
1
Rearrange -1 + 3 + 6*s - 3*s**2 - 1 - 8*s to the form q + u*s**2 + r*s and give u.
-3
Rearrange ((36*t**2 - 19*t**2 + 22*t**2)*(-t**2 + 2*t**2 - 2*t**2) + t**3 - t**3 + t**2 - 2*t**4)*(-2 + 0 + 0) to u*t**4 + j*t + p + v*t**2 + x*t**3 and give u.
82
Rearrange 5*z - 3*z**3 - 5*z + (-46 + 46 + 16*z**2)*(-3 - 5*z + 3) to q*z + a + y*z**3 + l*z**2 and give y.
-83
Rearrange (88 - 48 - 26)*(-3*v + v + 0*v)*(-2*v**2 + 3*v**2 - 2*v**2) to the form a*v**3 + x + w*v**2 + b*v and give a.
28
Express -12*c + 3*c + 3*c - 2 + 0*c in the form o + v*c and give o.
-2
Express 4 - 2*l**2 + 4 - 7 as x*l**2 + f*l + y and give x.
-2
Rearrange -3*p**3 + 5*p**3 - 2 - 2 + 15 to t*p + k*p**3 + z + v*p**2 and give t.
0
Rearrange -2*c**2 - 2*c**3 - c + 0*c**3 - 145*c**4 + 147*c**4 to q + d*c**2 + s*c**3 + n*c + w*c**4 and give d.
-2
Express ((v + v - 4*v)*(4 + 0 - 3) - 110*v + 9*v + 9*v)*(-2 + 3 + 1) as s + j*v and give j.
-188
Express (0 + 1 + 9*l - 8*l)*(0 - 2 + 0) - 2*l + 4*l - l in the form n + u*l and give u.
-1
Express ((2 - 4 + 3)*(-2 - 2 + 3) + 2 + 2 - 5)*(-3*a**4 + 4*a**4 - 3*a**4) as h + u*a**3 + w*a**2 + m*a + o*a**4 and give o.
4
Express (0 + 7 + 0)*(2 - 4 + 0)*(l - 2*l + 0*l) as j + o*l and give o.
14
Rearrange (-3*z**4 - 6*z**4 + z**4)*(-10 + 15 - 11) to the form y*z + g*z**4 + d + a*z**2 + i*z**3 and give i.
0
Express 21*v**2 - 1 - 8*v**2 + 4*v**2 + 4*v**2 as p*v**2 + a*v + q and give p.
21
Rearrange q + 3 + q**2 + 2 - 4 + 3*q**4 - 4 to the form s + x*q**4 + d*q**3 + t*q**2 + u*q and give u.
1
Express 3*a**2 + 3*a**4 - 4*a**2 + 2*a + a in the form k*a**4 + p + r*a**3 + n*a**2 + f*a and give f.
3
Rearrange (-i + 2 - 2)*(-4*i + 2*i + i) + (2*i + 2*i - i)*(-2*i - i + i) + 0*i**2 + 16*i**2 + 13*i**2 to w*i**2 + x*i + h and give w.
24
Express 33*n**2 - n**2 + 4*n - 4*n as t*n**2 + h*n + p and give p.
0
Express (-142*w + 14*w - 3*w)*(w + 2 - 2) + (-3 + 0 + 1)*(5 - 3 - 1)*(-2 + 2 + 2*w**2) as n + a*w**2 + y*w and give a.
-135
Rearrange 9*z**3 - 8*z**3 - 23*z + 10 - 10 to the form x*z**3 + t*z + m + u*z**2 and give x.
1
Rearrange -2*p**3 - 2*p**3 + 3*p**3 + (-4 + 4 + 2*p)*(7*p**2 - p**2 - 3*p**2) to j*p**2 + b*p**3 + h + g*p and give b.
5
Rearrange 2*c**4 + 3*c**4 - 4*c**4 + (-3 - 2 + 0)*(3*c**4 - 12*c**2 + 12*c**2) to s*c + d*c**3 + i*c**4 + h + u*c**2 and give i.
-14
Rearrange -7 + 17 - 10 + 4*t to the form i*t + a and give i.
4
Rearrange (0*n + 0*n + 5*n**4)*(7 - 1 - 9) to t*n**4 + y*n**2 + z*n**3 + v*n + u and give y.
0
Express 0*k**2 + 66 + 0*k - 67 + 7*k - k**2 as s*k**2 + t + x*k and give s.
-1
Express (-2 + 2 - y)*(-1 + 0 - 1) + 3*y - y - y + 0 + 0 + y + 1 - 1 - 2*y + 31*y + 23*y - 18*y as w + i*y and give i.
38
Rearrange (4 - 4 - g)*(0 - 1 + 3)*(-21*g + 2*g**2 + 41*g + 2 - 19*g) to h*g**3 + k + i*g**2 + j*g and give h.
-4
Express (-1 + 3 + 1)*(-6*j**4 - 4*j**4 + j**4) + 4*j**4 - 3*j**4 - 3*j**4 as a*j + z*j**4 + f*j**3 + b*j**2 + k and give z.
-29
Express f**4 - f**2 - 11*f + 6*f + 7*f**2 + 3*f as n + z*f**3 + t*f**2 + x*f**4 + y*f and give x.
1
Express v - v - v**2 + (-2*v + 5*v + 3*v)*(5 - 5 - v) + 3*v - 3*v + v**2 - 3 + 3 + 2*v**2 + (2 - 2 + 2*v)*(1 - 2*v - 1) in the form b*v**2 + m + d*v and give b.
-8
Express (5 + a - 1 - 5)*(-8*a**2 + a**3 + 8*a**2) in the form g*a**2 + q*a + m + j*a**3 + z*a**4 and give z.
1
Rearrange (2*i - 3*i - i)*((i - i - 2*i)*(8*i - i + 0*i) - 3*i**2 + 6*i**2 - 4*i**2) to the form l + q*i**3 + p*i + k*i**2 and give q.
30
Express 3*z**3 + 15 - 2*z - 14 - 2*z**2 - 5*z**3 + 5*z**3 as b*z + t*z**2 + a + j*z**3 and give t.
-2
Rearrange -7 + 7 - 2 + 2*z - 4*z - 2*z**2 to the form v + t*z**2 + a*z and give t.
-2
Express v + 2*v**2 - v + (v - v + v)*(0*v + v + 0*v) - 5*v**2 + 50 - 50 - 38*v**2 + 6 + 1 - 7 in the form j*v + r*v**2 + q and give r.
-40
Rearrange 3*l**2 - 5*l**2 - 13 + 3*l**2 to the form z + w*l + c*l**2 and give z.
-13
Express (0 - 2*n**4 + 0)*(-1 + 1 + 1) - n**4 + 12 - 12 as b + v*n**3 + j*n + x*n**2 + f*n**4 and give f.
-3
Rearrange (0 + 0 + t)*(-1 + 28 + 7 + 91) to r + c*t and give c.
125
Rearrange (2 + 5 - 4)*(0*m - 4*m + 3*m)*(-2*m + 2*m - 2*m**2) to n*m**2 + v + k*m + l*m**3 and give l.
6
Express 2 + 2*p + 6*p**2 + p**3 - 3*p**3 - 9*p**2 + 0*p**2 in the form g*p**3 + w*p**2 + t + l*p and give l.
2
Rearrange (u**2 - 2*u + 2*u + 0*u**2 + u**2 - 2*u**2 + (0*u + u + 0*u)*(-2*u + 0*u + u))*(5*u - 2 + 2) to the form p*u + x*u**3 + i*u**2 + z and give x.
-5
Express -4*j + 334 - 337 - 4*j in the form u + m*j and give m.
-8
Rearrange (0 + o + 0)*((-2*o + 7*o - 4*o)*(-4*o + 2*o + o) + 2*o**2 - 2*o**2 - o**2) to the form f*o**2 + x*o + d + p*o**3 and give p.
-2
Rearrange 21*r - 11*r + r**3 - 8*r + 2 + 9*r**2 to the form n*r**2 + l*r + x + v*r**3 and give x.
2
Express (4*z**2 + 2 - 2 + (4*z**2 - z**2 - z**2)*(-3 + 3 - 1))*(z + 2*z + z) as m + v*z + o*z**2 + c*z**3 and give c.
8
Rearrange -2*z**2 + 5 + 1 - 6 - z**3 + 5 to g + c*z + y*z**3 + n*z**2 and give n.
-2
Rearrange 33 + 4*q**3 - 33 + (2 - 2 + q)*(2 - 2*q**2 - 2) to the form s*q + j + c*q**2 + p*q**3 and give p.
2
Rearrange -1 - 7 + 2*a**3 + 1 - 5*a + 5 to the form m*a + n*a**3 + x*a**2 + t and give t.
-2
Express (5*c - 2*c - 5*c)*(0 + 0 - c) - 85*c**2 + 110*c**2 - 214*c**2 in the form p*c**2 + g*c + y and give p.
-187
Express (-a + 7*a + 3*a)*(-3 + a + 3)*(2 + 3 - 6) in the form g + t*a + n*a**2 and give n.
-9
Express (-2*y**2 - y**2 + 0*y**2 - 8)*(-y + 2*y**2 + y) as r*y**3 + c*y**2 + t + z*y**4 + b*y and give c.
-16
Express (-11 - 6 - 4)*(0 + 0 - i) as h + m*i and give m.
21
Express 51*u**2 + 0 + 3*u + 0 - 47*u**2 as a*u**2 + z*u + j and give z.
3
Express -43*q**3 - 2*q + 1 - 4*q**4 + 26*q**3 + 3*q**4 + 5*q**3 as y*q**2 + i + x*q**3 + b*q**4 + j*q and give j.
-2
Express (4*s**2 - 14*s**2 - 3*s**2)*(-1 - s + 1) + 68 - 68 - 11*s**3 as o*s**3 + z*s + w*s**2 + l and give o.
2
Rearrange -31 + 31 + 39*w to f*w + m and give f.
39
Express -3 - 2*i**2 + 14*i**4 - 2*i**3 + 0*i**3 + 2*i - 13*i**4 as m*i**2 + s*i + b*i**3 + v + p*i**4 and give v.
-3
Rearrange -3*w**4 + 3*w**4 - 2*w**4 + (3 - 1 - 5)*(-2*w + 0*w + 4*w)*(-5*w - 5*w**3 - w + 8*w) to the form a*w + g + n*w**4 + i*w**3 + p*w**2 and give n.
28
Rearrange 49 + 2*w + 3 - 24 to d*w + l and give l.
28
Express -126*h + 101 - 201 + 100 as r + w*h and give w.
-126
Express (-3*p + 3*p - p)*(12 + 7 - 4) in the form l*p + u and give l.
-15
Express (5*p - p - 3*p)*(-1 + 0 - 1)*(-1 - 1 + 3) in the form d + t*p and give t.
-2
Express -1495 + 2*o**3 - 4*o + 1491 + 2*o**2 + 2*o in the form k + i*o**2 + g*o**3 + r*o and give r.
-2
Express (l - 66 + 135 + 0*l)*(-2*l + 2*l**2 + 2*l) in the form h*l**2 + u*l**3 + j*l + x and give j.
0
Rearrange (-r - 6 + 6)*((r + 0*r + 0*r)*(1 - 3 + 1) - 7*r - 5*r + 26*r) to the form a*r + o*r**2 + x and give o.
-13
Express 2*s**2 + 21*s**2 + 6*s**2 as c + h*s**2 + b*s and give h.
29
Express -2*u**3 + u**3 + 2*u + 2*u - u in the form t*u**3 + p*u + m*u**2 + q and give t.
-1
Express -2*w**2 + 11 - 5*w**2 + 8*w**2 + 1 as h + i*w**2 + k*w and give h.
12
Express (-4*i**2 + 0*i**2 + 2*i**2)*(i - 2 + 2) + 5*i**3 - 3*i**3 - 4*i**3 + (2*i**2 + 10*i - 10*i)*(-5*i - 4*i - i) as m*i**2 + t*i + x*i**3 + d and give x.
-24
Rearrange -4*o + 27 + 5*o + 2*o**4 + 2*o**2 - 30 to q*o**2 + p*o + g*o**4 + s*o**3 + n and give p.
1
Rearrange 0*x**3 - 3*x**3 + 4*x - 6*x + (-3*x + 5*x + 0*x)*(7*x**2 - 10*x**2 - 4*x**2) to the form d*x**3 + m*x + u + n*x**2 and give m.
-2
Express 0*g**2 + 2*g**2 + g**2 + (0 - 4 + 5)*(187 - 20*g**2 - 187) - g**2 + 2*g**2 - 3*g**2 - 3*g**2 + 4*g**2 + g**2 as q*g**2 + s + k*g and give q.
-17
Express -4 - 2 + 0*w - 7*w + 5 as m*w + z and give m.
-7
Express (-2 - 2 + 2)*(-4*w - w + 4*w)*(-4 + 3 + 0)*(3*w - 5*w + 3*w) as v*w**2 + j + d*w and give v.
-2
Express (4*l**2 - 2*l**2 - 4*l**2)*(3*l + 0*l - 2*l) - 67*l + 3*l**3 - l**2 + 67*l as d*l**2 + f*l + x + p*l**3 and give p.
1
Rearrange -9*s**3 - 3*s**3 + 4*s**3 + 2*s**2 + s**4 + 0*s**4 to j*s**3 + v*s**2 + i*s**4 + y + k*s and give v.
2
Rearrange 6 + 141*z - 283*z + 148*z to f + k*z and give f.
6
Rearrange -20*t**4 + 9*t**4 + 34*t**4 + (0*t + 2*t**4 + 0*t)*(4 - 2 + 0) to the form u*t + i + r*t**2 + c*t**4 + p*t**3 and give u.
0
Rearrange (0 + 0 - 4)*(b + 0*b - 21*b) to c*b + g and g
|
{
"pile_set_name": "DM Mathematics"
}
|
/2*i**4 + 7/3*i**3 - 3*i + 1/2*i**5 + 2*i**2. Factor p(f).
2*(f + 1)**3*(f + 2)
Solve r**5 - 46*r**3 + 3*r**5 + 44*r**4 - 424*r**2 - 196 + 532*r + 86*r**3 = 0.
-7, 1
Let v(g) = -23*g**2 + 5*g + 17. Let o(h) = -4*h**2 + h + 3. Let l(y) = 34*o(y) - 6*v(y). Suppose l(m) = 0. Calculate m.
-2, 0
Let y be ((-1)/(-3))/((-11)/(-957)). Let w = y + -57/2. Solve -1/2*a**4 + 1/2*a**5 - w + a**2 + 1/2*a - a**3 = 0.
-1, 1
Let r(b) = -b**4 - b**3 + b**2 - b + 1. Let d(x) = -3*x**4 - 3*x**2 - 18*x + 18. Let n(h) = d(h) - 6*r(h). Determine g so that n(g) = 0.
-2, 1
Let g(v) be the first derivative of 5*v**3/3 - 15*v**2/2 - 20*v - 33. Solve g(i) = 0 for i.
-1, 4
Let j be (-8)/32 + (-74)/(-8). Suppose -j = -3*p - 0*p. Factor -2*u - 3*u**4 + 0*u**4 - 2*u**p + u**4 + 2*u**2 + 4*u.
-2*u*(u - 1)*(u + 1)**2
Let n be (12 + 1)*(-2)/(-66). Let l = n - -3/11. Find c such that l*c**2 - 2/9*c**3 + 2/9 - 2/3*c = 0.
1
Let o(d) be the third derivative of -1/270*d**5 - 1/540*d**6 + 0*d - 1/9*d**3 + 5/108*d**4 + 0 + 4*d**2. Factor o(u).
-2*(u - 1)**2*(u + 3)/9
Let z(m) = -9*m**4 - 5*m**3 - 5*m**2 - 9*m. Let g(u) = 5*u**4 + 3*u**3 + 3*u**2 + 5*u. Let a(o) = -11*g(o) - 6*z(o). Let a(l) = 0. Calculate l.
-1, 0
Suppose -5*c + 10 = 3*s - 2, -c = -3*s - 6. Suppose 4*h = 7*y - 2*y + 4, 3*h + y - c = 0. Factor 1 + 0*w**2 + 4*w + h + 2*w**2.
2*(w + 1)**2
Let 76/7*s - 4*s**2 + 24/7 = 0. Calculate s.
-2/7, 3
Let l(b) = -15*b**3 - 3*b**2 - 21*b - 9. Let n(w) = -w**3 + w**2. Let v(d) = l(d) - 12*n(d). Factor v(u).
-3*(u + 1)**2*(u + 3)
Let z be -6 + -3 + 19/2. Find q such that -1/2*q**2 + q - z = 0.
1
Let r = -4 - -6. Suppose -1 + 5 - r*y**2 - 4*y - 4 = 0. What is y?
-2, 0
Let d be 2/(-54)*-6 + 48/27. Determine c so that 2/7*c**3 - 2/7 + 6/7*c - 6/7*c**d = 0.
1
Let t(a) be the third derivative of a**8/224 + a**7/28 + 15*a**2. Let t(f) = 0. Calculate f.
-5, 0
Find h, given that 4*h**3 - 18*h + 11*h - 14*h**2 + 3*h + 14*h**4 = 0.
-1, -2/7, 0, 1
Let h be (0 - 86)/((-140)/(-50)). Let s = h - -31. Find y such that -4/7*y + s*y**2 + 0 = 0.
0, 2
Let c(r) be the third derivative of r**8/1680 - r**7/840 - r**6/180 - 5*r**3/6 - 2*r**2. Let o(k) be the first derivative of c(k). Factor o(z).
z**2*(z - 2)*(z + 1)
Let z(d) = -11*d**5 + 15*d**4 - 11*d**3 + 5*d**2 + 2*d + 4. Let s(l) = -l**5 - l**4 + l**3 + l**2 + 1. Let g(x) = -4*s(x) + z(x). Solve g(i) = 0.
-2/7, 0, 1
Let g(i) = -i**2 - 7*i - 3. Let y be g(-6). Let r(d) be the first derivative of -d**y - 3/2*d**2 - 1/4*d**4 - d - 2. Factor r(a).
-(a + 1)**3
Let p(r) be the third derivative of -r**11/166320 + r**9/30240 + r**5/12 - r**2. Let x(h) be the third derivative of p(h). Factor x(j).
-2*j**3*(j - 1)*(j + 1)
Factor 12/7*n - 2 + 2/7*n**2.
2*(n - 1)*(n + 7)/7
Let c(g) be the second derivative of g + 0*g**2 + 0 - 1/10*g**5 - 1/15*g**6 + 1/6*g**4 + 1/3*g**3. Factor c(r).
-2*r*(r - 1)*(r + 1)**2
Let d be 46/(-69) + (-10)/(-6). Suppose -16 + d = -5*v. Let -2/7*b**5 - 12/7*b**v - 2/7*b + 8/7*b**4 + 8/7*b**2 + 0 = 0. Calculate b.
0, 1
Determine x so that 51*x**3 + 0*x + 15 - 56*x**3 - 15*x**2 + 5*x = 0.
-3, -1, 1
Let r(s) = s**2 + 6*s - 4. Let l be r(-7). Factor l*t + 0*t - 9 + 12*t + t**3 - 7*t**2.
(t - 3)**2*(t - 1)
Let y(n) = -3*n - 15. Let k be y(-6). Factor 0*d**4 + 2/3*d**5 + 0*d**2 - 2/3*d**k + 0 + 0*d.
2*d**3*(d - 1)*(d + 1)/3
Let h(d) be the third derivative of d**6/120 + d**5/20 + d**4/12 + 4*d**2. Find x such that h(x) = 0.
-2, -1, 0
Let y(t) be the first derivative of -3/2*t**2 + 1/240*t**5 - 1/12*t**3 + 0*t + 4 - 1/96*t**4. Let p(u) be the second derivative of y(u). Factor p(g).
(g - 2)*(g + 1)/4
Let g(f) be the third derivative of -f**5/60 - f**4/6 + 5*f**3/6 + f**2. Let y be g(-4). Factor y*i - 5*i + 2*i**2 + 4*i.
2*i*(i + 2)
Let r be -5 + 8/2*10/8. Determine z so that r*z - 2/9*z**2 + 8/9 = 0.
-2, 2
Solve 0*f + 0*f**2 - 3/7*f**3 + 0 - 3/7*f**4 = 0 for f.
-1, 0
Let q be (-110)/(-35) - (3 - 1). Find r, given that 32/7*r**2 - 4*r + q - 12/7*r**3 = 0.
2/3, 1
Let d(z) be the third derivative of 0*z + 3*z**2 + 0*z**3 + 1/120*z**5 + 1/48*z**4 + 0. Solve d(g) = 0.
-1, 0
Factor 1/9*t**2 - 2/9*t + 1/9*t**3 + 0.
t*(t - 1)*(t + 2)/9
Let z = -10 - -5. Let p(c) = c + 7. Let v be p(z). Factor 0*h**v + 9*h - 9*h**3 + 6 + 6*h**3 + 0*h**2.
-3*(h - 2)*(h + 1)**2
Suppose -154*u = -157*u. Solve -8/11*o**2 + 8/11*o + u + 2/11*o**3 = 0.
0, 2
Let j(s) be the second derivative of 0*s**3 - 2*s + 0 - 1/60*s**4 + 0*s**2. What is q in j(q) = 0?
0
Suppose 5*x - 2 = 8. Let y be 1*(-2 + 1)*-3. Find h such that -x*h + 3*h**2 - y*h + 6*h = 0.
-1/3, 0
Let y be 4/(-6)*(-1 - 2). Suppose -3*o + 0*o + j = -1, 0 = -5*o + 2*j. Factor o*t**y - 4*t**3 + 0*t**2 + 4*t + 2*t**3.
-2*t*(t - 2)*(t + 1)
Solve -12/5 + 1/5*k**2 + 8/5*k - 1/5*k**3 = 0.
-3, 2
Let x(v) = -v + 5 + 1 - 8 + 0. Let y be x(-2). Factor 3/2*c - 1 + y*c**2 - 1/2*c**3.
-(c - 1)**2*(c + 2)/2
Factor 2*b**2 - b - 2 + b**2 + b**2 - b - 2*b**4 + 4*b**3 - 2*b**5.
-2*(b - 1)**2*(b + 1)**3
Let m(d) be the first derivative of d**4/6 - 7*d**3/18 - d**2/6 - 13. Factor m(q).
q*(q - 2)*(4*q + 1)/6
Let v be ((-3)/10)/(33/(-55)). Factor -v*t**2 + 1/2*t - 1/2*t**3 + 0 + 1/2*t**4.
t*(t - 1)**2*(t + 1)/2
Find u, given that -3*u**2 - 62*u**3 + u + 65*u**3 - u**4 + 0*u**4 = 0.
0, 1
Let n(f) be the first derivative of -f**5/240 + f**4/96 - 5*f**2/2 + 2. Let u(y) be the second derivative of n(y). Factor u(l).
-l*(l - 1)/4
Let k(v) = -v**2 + 5*v + 5. Let y be k(5). Suppose 10 = y*l, 2*o = -3*l + l + 10. Factor 3*t**o + t + 0 + 7/2*t**2.
t*(2*t + 1)*(3*t + 2)/2
Let z = 468/265 + -30/53. Factor 2/5*f**4 - z*f**2 - 8/5*f + 4/5*f**3 + 8/5.
2*(f - 1)**2*(f + 2)**2/5
Let r(l) be the second derivative of -5/12*l**3 + 1/2*l**2 + 0 - 3*l + 1/6*l**4 - 1/40*l**5. Solve r(a) = 0 for a.
1, 2
Let k be 0*(4/(-8))/1. Let s(v) be the third derivative of 0 + 1/12*v**4 + v**2 + k*v + 0*v**5 + 1/210*v**7 - 1/60*v**6 - 1/6*v**3. What is o in s(o) = 0?
-1, 1
Let o be (-86)/(-30) - 3 - 32/(-15). Determine s so that 1/2*s**3 - 1/2 - 1/2*s + 1/2*s**o = 0.
-1, 1
Suppose 2 = 3*f - 4. Let a(k) be the first derivative of 0*k**3 + 0*k**2 - 1/12*k**4 - f + 0*k. Factor a(b).
-b**3/3
Let d(z) be the first derivative of z**5/20 - z**4/3 + 5*z**3/6 - z**2 + 4*z - 1. Let i(j) be the first derivative of d(j). Suppose i(o) = 0. What is o?
1, 2
Suppose -4*y + d = -2*d + 3, -4 = -3*y - 4*d. Let z(o) be the first derivative of 1/10*o**2 + y*o + 4 - 1/15*o**3. Suppose z(a) = 0. What is a?
0, 1
Let l be (-4)/(-30)*(20 + -15). Factor 0 - l*z**4 - 4*z**3 - 6*z**2 + 0*z.
-2*z**2*(z + 3)**2/3
Let m(b) = b - 8. Let w = 2 - -6. Let v be m(w). Factor v*d**2 + 1/3*d + 0 - 2/3*d**3 + 1/3*d**5 + 0*d**4.
d*(d - 1)**2*(d + 1)**2/3
Let n(y) be the first derivative of y**6/63 - 4*y**5/21 - 25*y**4/21 - 160*y**3/63 - 55*y**2/21 - 4*y/3 - 51. Solve n(p) = 0.
-1, 14
Let r(b) be the second derivative of 2*b**6/15 - 2*b**5/5 + b**4/3 - b - 27. Factor r(o).
4*o**2*(o - 1)**2
Let d(t) = t**3 - 4*t**2 + 5*t - 4. Let c be d(3). Let 9*o**3 - 11*o**3 - 2 + c = 0. What is o?
0
Let z(p) be the third derivative of 7*p**5/90 - 61*p**4/36 - 2*p**3 + 29*p**2. Factor z(x).
2*(x - 9)*(7*x + 2)/3
Let s = 3896/5 + -779. Find t such that -s*t + 8/5*t**2 - t**3 - 2/5 = 0.
-2/5, 1
Solve -40/17*y**2 + 10/17*y**4 + 4/17*y**3 + 0 - 16/17*y = 0 for y.
-2, -2/5, 0, 2
Let r be ((-4)/6)/(1/(-6)). Suppose -4*f = r*v - 36, 0*f = 5*f - 5*v + 5. Determine l so that -8*l + 8*l**3 - l**4 - 5*l**4 + f*l**2 + 0*l**2 + 2 = 0.
-1, 1/3, 1
Let f(y) = -4*y**3 + 12*y**5 - 10*y**5 + 3 + 0*y**3 - 1. Let k(n) = 2*n**5 - n**4 - 5*n**3 + n**2 + 3. Let z(t) = -3*f(t) + 2*k(t). Factor z(d).
-2*d**2*(d - 1)*(d + 1)**2
Let t(n) = -n**2 - 21*n + 25. Let f be t(-22). Find u, given that -2/7*u**5 + 0 + 6/7*u**4 - 2/7*u**f + 4/7*u - 6/7*u**2 = 0.
-1, 0, 1, 2
Let v(n) be the first derivative of -5*n**3/3 - 50*n**2 - 500*n - 29. Factor v(z).
-5*(z + 10)**2
Suppose 5 = 3*m - 1. Factor 2/3 + 1/3*k**m + k.
(k + 1)*(k + 2)/3
Let v(h) = 6*h**2 - 8*h + 2. Suppose 3*r = -u - 2*u + 3, 0 = -r + 2*u - 14. Let b(t) = -5*t**2 + 7*t - 2. Let c(y) = r*b(y) - 3*v(y). Solve c(m) = 0 for m.
1
Let a = 13 - 12. Let g(j) be the first derivative of -8*j**3 + 8*j**2 - 2/5*j**5 + 3*j**4 + 0*j + a. Determine n so that g(n) = 0.
0, 2
Let p(l) be the third derivative of -l**6/3
|
{
"pile_set_name": "DM Mathematics"
}
|
Let x(a) = -7*a + 3. Let r(c) = -6*g(c) - x(c). Let m(l) = -5 - 4 + 5 + 5. Suppose 5*y + 5*k = 0, 2*y - 3*k - 7 = -2*y. Determine y*m(h) + r(h).
h - 2
Let b(s) = s**2 + s - 3. Let n(x) = 4*x**2 + 46*x - 24. Calculate -24*b(u) + 3*n(u).
-12*u**2 + 114*u
Let z(k) = -16742 + 2*k - 16765 + 33506. Let a(d) be the third derivative of d**3/6 + 3*d**2. Give 6*a(h) + z(h).
2*h + 5
Let h be (((-1)/(-4))/1)/(238/952). Let u(m) = -5*m**2 - m - 4. Let i(b) = -b**2 - b. What is h*u(s) - 2*i(s)?
-3*s**2 + s - 4
Let r(m) = 241*m - 16. Let o(j) = 241*j - 20. Determine -3*o(y) + 4*r(y).
241*y - 4
Let f(q) = q. Let k(v) = -3*v - 78. What is 4*f(p) + 2*k(p)?
-2*p - 156
Let a(l) = -14*l - 298. Let x(u) = 20*u + 443. Give 7*a(q) + 5*x(q).
2*q + 129
Let b be 10 - 5 - 2/2. Let c(p) be the third derivative of -p**4/8 - 9*p**3/2 - 130*p**2 + 1. Let r(s) = s + 7. Give b*c(j) + 15*r(j).
3*j - 3
Let z(v) = -8*v + 1. Let l(r) = 57*r + 28. Calculate -3*l(o) - 21*z(o).
-3*o - 105
Let h(t) = -9*t**3 + 7*t**2 + 17*t. Let y(d) = 25*d - 285 + 11*d**2 + 285 + 0 - 14*d**3. Determine -8*h(b) + 5*y(b).
2*b**3 - b**2 - 11*b
Let l(u) = -7*u + 70. Let v be (168/(-896))/((-2)/(-24))*8/3. Let b(t) = -13*t + 141. Calculate v*b(a) + 11*l(a).
a - 76
Let j(q) be the second derivative of -5*q**3/6 - 45*q**2/2 + 106*q + 1. Let d(h) = -h - 11. What is 9*d(n) - 2*j(n)?
n - 9
Let x(j) = 45*j**3 - 9*j**2 - 9*j + 17. Let a(m) = -11*m**3 + 2*m**2 + 2*m - 4. Suppose -64418*b = -64409*b + 18. Determine b*x(l) - 9*a(l).
9*l**3 + 2
Let o(i) = 5*i + 135. Let g be o(-22). Let z be -5 + 12 - (-6 + g). Let v(k) = k**2 - k. Let x(c) = -18*c**2 + 12*c. Determine z*v(b) - x(b).
6*b**2
Let w(u) be the second derivative of 3*u**4/4 + 2*u**3/3 + 5*u**2/2 - 108*u. Let m(v) = 8*v**2 + 3*v + 4. Suppose -25*a = -12*a + 78. What is a*w(l) + 7*m(l)?
2*l**2 - 3*l - 2
Let g(i) = 6*i + 110. Let n be g(-19). Let z(x) = -x**2. Let y(o) = o**2 + 4. Let t(s) = -s**2 - 3. Let w(f) = -5*t(f) - 4*y(f). Calculate n*z(q) + w(q).
5*q**2 - 1
Let d(o) = -124*o**2 + 43*o - 19. Let l(u) = -48*u**2 + 21*u - 9. Give -2*d(b) + 5*l(b).
8*b**2 + 19*b - 7
Let o(c) = -23*c**3 + 11. Let n = -3800 + 3806. Let j(l) = 11*l**3 - 5. Give n*o(z) + 13*j(z).
5*z**3 + 1
Suppose 0 = 3*o - 4*j - 525, 2*j = 4*o - 357 - 343. Suppose 12*n - 115 + o = 0. Let u(h) = -20*h**3 - 5*h. Let a(i) = -13*i**3 - 3*i. What is n*u(p) + 8*a(p)?
-4*p**3 + p
Suppose -3*k + 17 + 16 = 0. Let d(j) be the second derivative of 2*j - 14 - 1/2*j**3 - 3*j**2 - 7/6*j**4. Let f(c) = -5*c**2 - c - 2. What is k*f(w) - 4*d(w)?
w**2 + w + 2
Let j(s) = 15*s**2 + 2*s - 1. Let u(v) = 16*v**2 + 2*v - 1. Suppose 157*f - 159*f = -5*q - 22, 3 = -2*q - 5*f. What is q*u(b) + 5*j(b)?
11*b**2 + 2*b - 1
Let o = -2 + 5. Let q(r) = -r**2. Let i(y) = 0*y**2 - 44 + 45 - y**2. Let v(a) = i(a) + q(a). Let u(d) = 1. Give o*u(w) - v(w).
2*w**2 + 2
Let z(s) = -10*s**2 - 3*s + 4. Let d(t) = -11*t**2 - 2*t + 3. Let y(l) = l**2 - 38*l - 78. Let k be y(40). Give k*z(j) - 3*d(j).
13*j**2 - 1
Let z(a) = 191*a**3 - 3*a. Let k(l) = l**2 - l. Calculate 3*k(j) - z(j).
-191*j**3 + 3*j**2
Let f(b) = 22*b - 1511. Let k(p) = 31*p - 2268. What is -7*f(s) + 5*k(s)?
s - 763
Let t be (-14)/4 - (-1)/2. Let c(z) = 3*z - 86. Let x(k) = -34*k + 946. Let f(p) = 44*c(p) + 4*x(p). Let u(l) = -3*l - 1. Give t*u(w) + 2*f(w).
w + 3
Let s(k) = 27*k**2 - 6*k + 29. Let g(u) = -8*u**2 + u + 2. Determine 4*g(t) + s(t).
-5*t**2 - 2*t + 37
Let a(q) = -2*q - 3. Let n(k) = 6*k + 8. Let j(c) = -c**2 - 10*c - 10. Let x be j(-8). Suppose 2*h = 3*t - 31, -x*h - t - 41 = -2*h. What is h*a(u) - 4*n(u)?
-2*u + 1
Let d(a) = -5*a**2 + 3*a - 3. Let h(l) = -l**2 + l - 1. Let r(i) = -d(i) + 6*h(i). Let n(k) = -147*k**2 + 74*k**2 + 72*k**2 - 1. Determine -2*n(u) + r(u).
u**2 + 3*u - 1
Let b(p) = 2*p - 1. Let l be b(3). Let t(y) = -6*y**3 + 9. Suppose -113*w - 19*w - 649 - 539 = 0. Let d(u) = -3*u**3 + 5. What is l*t(f) + w*d(f)?
-3*f**3
Let c(g) = -4*g - 42. Let l(n) = n**3 + 13*n**2 + 26*n - 45. Let q be l(-10). Let d(k) = -9*k - 83. Determine q*c(h) + 2*d(h).
2*h + 44
Let w(x) = -x - 8. Let i = 725 - 734. Let b(z) = 3*z + 33. Let y(g) = -2*g - 33. Let o(j) = -3*b(j) - 2*y(j). Determine i*w(n) + 2*o(n).
-n + 6
Let y(j) = 15*j**2 + 2*j. Suppose -2*b + 3*t = 8, b + 4*t = -2*t + 41. Let q(h) = -31*h**2 - 4*h. What is b*y(n) + 3*q(n)?
-18*n**2 - 2*n
Let l(q) = -3467*q**2 + 172*q + 4. Let v(y) = 3468*y**2 - 206*y - 5. Calculate 6*l(m) + 5*v(m).
-3462*m**2 + 2*m - 1
Let s(m) = -9*m**3 + 8*m**2 - 5*m + 12. Let n(i) = 18*i**3 - 16*i**2 + 11*i - 27. Give -4*n(v) - 9*s(v).
9*v**3 - 8*v**2 + v
Let c(k) = 228*k**2 + 5*k - 3. Let j(x) = 14*x**2 + x. Give -c(z) + 4*j(z).
-172*z**2 - z + 3
Suppose 35 = -4*d + 19. Let q(j) be the first derivative of 2*j**2 - 4*j + 53. Let m(c) = -8 + 3 - 6*c + 11*c. What is d*q(x) + 3*m(x)?
-x + 1
Suppose 7*t + 36 = -13*t - 16*t. Let z(h) = -h - 1. Let p(c) = -c + 4. Calculate t*p(y) - 3*z(y).
4*y - 1
Let x(q) be the second derivative of -q**5/10 + q**4/4 + 698*q. Let r(w) = w**2. Calculate 6*r(h) - x(h).
2*h**3 + 3*h**2
Let b(y) = 103*y + 431. Let u(p) = -189*p - 862. What is -11*b(f) - 6*u(f)?
f + 431
Suppose -5*z = -4*r - 942, z + r = -3*z + 741. Let o(j) = -z + j - 2*j**2 + 187 + j**2. Let s(d) = -9*d**2 - 2 - 2*d + d**2 + 11*d**2. What is -2*o(t) - s(t)?
-t**2
Suppose -13 = -4*u - u - 3*c, -45 = -5*u + 5*c. Let j = -1766 + 1768. Let m(v) = u + 4*v - v + j*v. Let k(g) = g + 1. What is 11*k(f) - 2*m(f)?
f + 1
Let u(b) = -7*b - 2. Let c(n) = 6*n + 3. Let s be 350/1750*(1 - -19). Give s*u(f) + 3*c(f).
-10*f + 1
Let n(r) = 2*r - 17*r + 0*r. Suppose 15 = -5*t, t + 0*t = 2*q - 123. Let j(b) = 8*b - q + 29 + 31. What is 11*j(o) + 6*n(o)?
-2*o
Let w(g) = 7*g + 17. Let a(p) = -20*p - 53. Suppose 5*r = -4*z - 12, 0*r = 3*r. Let b(m) = z*a(m) - 8*w(m). Let s(y) = -2*y - 11. Determine 6*b(c) + 13*s(c).
-2*c - 5
Let z(r) = 60*r**2 + 2838*r - 22. Let s(g) = 16*g**2 + 710*g - 6. Calculate -11*s(b) + 3*z(b).
4*b**2 + 704*b
Let o(l) be the first derivative of -1 + 1/2*l**2 - 4*l. Let q(b) = 1. Let x(c) = -c**3 + 22*c**2 + 83*c - 838. Let k be x(24). Give k*q(v) + o(v).
v - 2
Let j(c) = 2*c - 15. Let k(b) = -13*b + 48. What is -7*j(p) - 2*k(p)?
12*p + 9
Let r(a) = -5*a - 7. Let w(v) be the first derivative of 3*v**2/2 + 3*v + 2230. What is 2*r(o) + 5*w(o)?
5*o + 1
Let k(o) = -49*o**3 + 4*o**2 + 1. Let c be (-20)/(-6) + (-2)/6 - (-8 - -8). Let y(j) = 48*j**3 - 3*j**2 - 1. Determine c*k(t) + 4*y(t).
45*t**3 - 1
Let u = -6 - -3. Let v(q) be the third derivative of q**3/6 - 8*q**2 + 3*q - 24. Let s(m) = -2*m - 8. Give u*v(t) - s(t).
2*t + 5
Let s(d) = -d**3 + 4*d**2 + 12*d + 16. Let m(x) = x**3 - 3*x**2 - 14*x - 13. Calculate -6*m(o) - 5*s(o).
-o**3 - 2*o**2 + 24*o - 2
Let n be -2 + (-4)/36*-33*3. Suppose 0 = -n*h + 80 - 17. Let a(l) = -l**3 - 4*l**2 + 6*l. Let b(p) = p**3 + 7*p**2 - 11*p. Determine h*a(s) + 4*b(s).
-3*s**3 - 2*s
Let n(t) = 30*t**3 - 2*t**2 - 12*t - 6. Let l(d) = -59*d**3 + 5*d**2 + 29*d + 13. Give -2*l(r) - 5*n(r).
-32*r**3 + 2*r + 4
Let k(s) = -65*s**3 - 3*s**2 + 9*s + 4. Let u(p) = 75*p**3 + 4*p**2 - 10*p - 5. Calculate 5*k(m) + 4*u(m).
-25*m**3 + m**2 + 5*m
Let g(t) = 1 + 0*t - 1 + 3 + t. Let i(d) = -30*d + 5. Let c(l) = 13*l - 2. Let o(j) = 7*c(j) + 3*i(j). Give g(r) - 2*o(r).
-r + 1
Let n(c) = c + 7. Suppose -83 = 2*l + 2*y - 89, 3*y - 6 = -2*l. Let r(j) = -j - 15. Calculate l*r(o) + 7*n(o).
4*o + 4
Suppose 6*y - 4 = 8. Let q(w) = -4 - w**2 + y*w - 54*w**3 + 4*w**2 + 57*w**3 + w. Let k(f) = 3*f**3 + 4*f**2 + 4*f - 5. Give -3*k(g) + 4*q(g).
3*g**3 - 1
Let n(j) = 2*j**2 + 2*j - 4. Let c be (286 - (-2)/2)*1. Let g = 290 - c. Let d(o) = -5*o**2 - 5*o + 12. Give g*d(l) + 8*n(l).
l**2 + l + 4
Let m(t) = -1121*t**2 + 59*t + 59. Let v be 2/(-3) - (3/(-36))/(27/(-756)). Let k(j) = -56*j**2 + 3*j + 3. Give v*m(n) + 59*k(n).
59*n**2
Let k(x) = x**2 - 4. Let a(j) = 3*j**2 + j - 343 + 681 - 345 - 2*j**2. Give -3*a(u) + 5*k(u).
2*u**2 - 3*u + 1
Let x(i) be the first derivative of 3*i**4/4 + 3*i**3 + 15*i**2/2 - 171. Let j(f) = -2*f**3 - 5*f**2 - 8*f. Calculate 11*j(u) + 6*x(u).
-4*u**3 - u**2 + 2*u
Let n(i) = -125*i - 120. Let j be n(-1). Let t(f) = -35*f**2 + 28. Let g(d) = d**2 - 1. Calculate j*t(s) + 140*g(s).
-35*s**2
Let y(u) = u**2 + u
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{
"pile_set_name": "DM Mathematics"
}
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of 15 and 2215.
5
What is the highest common factor of 44 and 36?
4
What is the highest common factor of 1230 and 30?
30
What is the highest common factor of 2040 and 120?
120
Calculate the greatest common factor of 48 and 1548.
12
What is the highest common divisor of 43 and 86?
43
What is the highest common divisor of 328 and 1804?
164
Calculate the greatest common factor of 1614 and 18.
6
What is the greatest common divisor of 231 and 2464?
77
What is the highest common factor of 1189 and 82?
41
Calculate the greatest common factor of 28 and 7084.
28
What is the greatest common divisor of 63 and 84?
21
What is the greatest common factor of 57 and 21?
3
What is the highest common factor of 7448 and 294?
98
Calculate the highest common divisor of 5082 and 154.
154
Calculate the highest common factor of 28 and 1828.
4
Calculate the greatest common divisor of 216 and 16.
8
Calculate the greatest common divisor of 21 and 21.
21
Calculate the greatest common factor of 8 and 292.
4
Calculate the greatest common divisor of 180 and 45.
45
What is the highest common divisor of 134 and 36381?
67
Calculate the greatest common factor of 4656 and 48.
48
Calculate the highest common factor of 1672 and 304.
152
What is the highest common divisor of 300 and 24?
12
What is the greatest common divisor of 37 and 3404?
37
Calculate the highest common divisor of 8 and 54.
2
Calculate the highest common factor of 180 and 270.
90
What is the greatest common factor of 396 and 1908?
36
What is the highest common factor of 43 and 2?
1
What is the greatest common factor of 150 and 20?
10
Calculate the highest common factor of 1025 and 6355.
205
What is the greatest common divisor of 1638 and 78?
78
Calculate the greatest common divisor of 7889 and 23.
23
Calculate the greatest common divisor of 259 and 28.
7
What is the greatest common factor of 535 and 5?
5
What is the greatest common factor of 6 and 888?
6
What is the greatest common divisor of 49 and 21?
7
What is the greatest common factor of 12 and 204?
12
What is the highest common factor of 1639 and 11?
11
What is the highest common divisor of 24 and 39?
3
What is the highest common divisor of 107 and 116951?
107
Calculate the greatest common factor of 175 and 1540.
35
What is the greatest common divisor of 423 and 63?
9
What is the greatest common factor of 352 and 184?
8
What is the greatest common divisor of 155 and 10?
5
What is the highest common divisor of 96 and 224?
32
What is the highest common divisor of 69 and 5543?
23
What is the highest common divisor of 750 and 100?
50
What is the greatest common divisor of 364 and 84?
28
What is the highest common divisor of 4 and 2048?
4
Calculate the greatest common factor of 1419 and 33.
33
What is the highest common divisor of 190 and 1235?
95
What is the highest common factor of 88 and 352?
88
Calculate the greatest common factor of 255 and 204.
51
What is the greatest common divisor of 16 and 84?
4
What is the highest common divisor of 1088 and 448?
64
What is the highest common factor of 2280 and 120?
120
Calculate the greatest common factor of 1148 and 28.
28
Calculate the greatest common factor of 440 and 820.
20
What is the greatest common factor of 21448 and 56?
56
What is the greatest common factor of 2074 and 34?
34
What is the greatest common divisor of 689 and 106?
53
Calculate the greatest common divisor of 327 and 24.
3
What is the greatest common divisor of 21 and 336?
21
Calculate the highest common factor of 336 and 126.
42
What is the highest common divisor of 292 and 365?
73
What is the greatest common factor of 18 and 30?
6
What is the highest common divisor of 31 and 899?
31
Calculate the greatest common divisor of 81 and 36.
9
Calculate the greatest common divisor of 976 and 80.
16
Calculate the highest common divisor of 16290 and 270.
90
What is the highest common factor of 5 and 580?
5
What is the greatest common divisor of 324 and 2052?
108
What is the highest common divisor of 23184 and 36?
36
What is the highest common divisor of 88 and 92?
4
What is the greatest common divisor of 7 and 6132?
7
Calculate the highest common divisor of 1404 and 52.
52
What is the greatest common divisor of 588 and 192?
12
Calculate the greatest common divisor of 1260 and 12.
12
What is the highest common divisor of 90 and 8460?
90
Calculate the greatest common factor of 12 and 68.
4
What is the highest common divisor of 3136 and 6048?
224
What is the greatest common factor of 30 and 23685?
15
What is the greatest common divisor of 102 and 153?
51
Calculate the greatest common divisor of 528 and 432.
48
Calculate the greatest common factor of 144 and 28848.
48
What is the highest common factor of 49 and 2401?
49
What is the greatest common divisor of 101 and 20099?
101
Calculate the highest common factor of 20 and 230.
10
What is the greatest common divisor of 2 and 26?
2
Calculate the highest common factor of 26 and 325.
13
What is the highest common factor of 1145 and 2748?
229
What is the greatest common factor of 164 and 164?
164
Calculate the greatest common divisor of 301 and 7.
7
Calculate the greatest common divisor of 645 and 120.
15
What is the greatest common factor of 396 and 88?
44
Calculate the greatest common divisor of 72 and 10548.
36
Calculate the greatest common factor of 2964 and 1368.
228
Calculate the highest common factor of 11010 and 20.
10
What is the greatest common divisor of 60 and 50310?
30
What is the highest common factor of 180 and 5445?
45
What is the greatest common divisor of 180 and 540?
180
What is the greatest common factor of 3135 and 11?
11
Calculate the greatest common divisor of 429 and 1274.
13
What is the greatest common divisor of 24 and 19?
1
What is the highest common factor of 5 and 225?
5
What is the greatest common divisor of 34 and 374?
34
Calculate the highest common factor of 2925 and 30.
15
Calculate the highest common divisor of 2583 and 189.
63
What is the highest common divisor of 8 and 16?
8
What is the highest common divisor of 48 and 168?
24
What is the highest common factor of 182 and 28?
14
Calculate the greatest common divisor of 2632 and 28.
28
Calculate the greatest common factor of 616 and 77.
77
What is the greatest common divisor of 55 and 14960?
55
What is the greatest common divisor of 77 and 253?
11
Calculate the greatest common factor of 312 and 1482.
78
What is the highest common divisor of 55 and 10?
5
What is the highest common factor of 119 and 7?
7
Calculate the highest common divisor of 175 and 400.
25
Calculate the highest common factor of 450 and 100.
50
Calculate the greatest common divisor of 868 and 196.
28
Calculate the highest common factor of 208 and 16.
16
Calculate the greatest common factor of 33 and 1518.
33
What is the highest common divisor of 110 and 6270?
110
Calculate the highest common factor of 252 and 34020.
252
What is the greatest common divisor of 39 and 598?
13
Calculate the highest common factor of 440 and 88.
88
Calculate the greatest common divisor of 676 and 8.
4
Calculate the greatest common divisor of 78 and 26.
26
Calculate the greatest common divisor of 11 and 30041.
11
Calculate the highest common divisor of 26 and 4.
2
Calculate the greatest common divisor of 9 and 7551.
9
What is the highest common divisor of 3081 and 13?
13
Calculate the highest common factor of 64 and 576.
64
Calculate the greatest common divisor of 169 and 871.
13
What is the highest common divisor of 52 and 221?
13
Calculate the greatest common factor of 24 and 444.
12
What is the greatest common divisor of 34 and 136?
34
What is the greatest common factor of 58 and 1798?
58
Calculate the greatest common factor of 94 and 1269.
47
What is the greatest common divisor of 16 and 52?
4
What is the highest common factor of 11388 and 156?
156
Calculate the highest common divisor of 483 and 21091.
161
Calculate the highest common factor of 14 and 21322.
14
What is the highest common factor of 14 and 1008?
14
Calculate the highest common factor of 66 and 5742.
66
What is the highest common factor of 38359 and 89?
89
Calculate the highest common divisor of 28 and 168.
28
What is the greatest common divisor of 12 and 192?
12
Calculate the highest common factor of 85 and 136.
1
|
{
"pile_set_name": "DM Mathematics"
}
|
nearest to -1 in z, 0.2, 0.5?
0.2
Let k = -16752 - -16752.7. What is the closest to k in -5, 5, -0.1, 1/5?
1/5
Let k = 628.5 - 628.6. What is the closest to k in -0.1, 6, -0.57?
-0.1
Let f be (4/10)/(9 - 1078/110). Let w = 0 - 3. What is the nearest to f in 0.1, 0, w?
0
Let j = -10434 + 41735/4. Let m = 1143 + -712. Let o = -3883/9 + m. Which is the nearest to -0.1? (a) o (b) j (c) -2/3
b
Suppose 5*j - 2*t = 21, 2*j - 2*t = 30 - 24. Let s = 1.8 + -10.8. Which is the nearest to 3? (a) s (b) -1/5 (c) j
c
Suppose 0 = 35*k + 134*k - 7919 + 821. Which is the closest to -0.2? (a) k (b) 1 (c) -25
b
Let n = -5 + 2. Let u = -53 - -53.3. Let l = -1719 + 1724. Which is the closest to 2/9? (a) n (b) l (c) u
c
Let p be (188/(-60) + 3)*-3. Let g be 15/(-2)*(-4)/(-6). Let z = g - -5. Which is the nearest to z? (a) -5 (b) -6/7 (c) p
c
Let n = -3.91 - 0.09. Let p = -162 + 161. Let q = -11 + 12. What is the closest to q in 0.1, n, p?
0.1
Let p = -24980 - -25011. What is the closest to -2/27 in -5, 2, 3, p?
2
Let r be 124/546*(-3)/(-1). Let y = r - 7/13. Let f = 16992 + -16987. What is the nearest to f in 0.5, y, 0?
0.5
Let z be 12/(-2) - (1800/(-162) + 1/9). What is the nearest to z in -1, 4, 10.4, 5?
5
Let h = 13232 + -13231. What is the closest to -1 in -209/8, h, -1/3?
-1/3
Let o = 2 + 0. Let h = o - 1. Let k(g) = g**2 - 68*g - 1444. Let z be k(85). What is the closest to h in z, -2/23, 1/3?
z
Let z be (1/1)/(5*(-12)/300). Which is the nearest to z? (a) 3 (b) -1 (c) -1/15 (d) -0.3
b
Let y = 67/2 + -33. Let p = 533738 - 533737.6. Which is the closest to y? (a) 3/2 (b) p (c) -9 (d) 1
b
Let g be (-3)/(8 - (10 - 5)). What is the closest to -2.4 in -3, g, 2, -0.4?
-3
Let x = 615 - 613. Let j be ((-65)/20 + 3)*-4. Which is the closest to j? (a) 0.4 (b) 40 (c) x
a
Let f = -9.57 + 10.9. Let l = f + -1.23. Let i be -1*(0 + -3) - 3. Which is the closest to l? (a) -0.4 (b) i (c) 2/5
b
Let u be 2 - (14/(-3))/(-2). Let y = 320955 - 320954.1. Which is the closest to u? (a) -3 (b) y (c) 0
c
Let m(j) = -2*j**3 + 7*j**2 + 67*j - 259. Let x be m(5). Which is the closest to -2? (a) 0.5 (b) -4/11 (c) x
b
Suppose 5*g + 5*p - 15 = -0*p, -5*g = 4*p - 16. Let s = 534 + -533.6. Which is the closest to -4? (a) 0.1 (b) s (c) 1/5 (d) g
a
Let y = 1245.4 - 1245. What is the closest to -1 in y, 0.5, 166?
y
Let q = 2.68662 + -2.48662. Let f be 2/(-4)*(-4)/22. What is the nearest to 0 in 2, q, f?
f
Let v = -3.01 + 0.01. Let z = -0.419 - -703.419. Let q = z + -703.1. What is the nearest to q in -2.2, v, -5?
-2.2
Let t(f) = f**2 - 10*f - 92. Let v be t(21). Suppose 0 = 25*q - 14 + v. What is the nearest to -1/2 in q, -2, 3/2?
-2
Let l = -474 + 476.93. Let o = -3.03 + l. What is the closest to o in 0.6, 1, 0.5?
0.5
Let f = -0.03 + 4.03. Let o = 9310.3 + -9310.1. What is the closest to -1/3 in f, 3, o, 5?
o
Suppose 384 = -1391*r + 1487*r. Suppose 3*s - 4*p = -12, 7 - 35 = 5*s - 4*p. Let y be ((-2)/40)/(s/20). Which is the nearest to r? (a) -4 (b) y (c) 4
c
Let t = 2.161 + -7.161. Let k = -3.8 - -0.8. Let u = k + 7. Which is the closest to -1/4? (a) 2/35 (b) u (c) t
a
Let m = 0.36 + -0.16. Let o = -37 - -37.42. Let k = o + -4.42. What is the closest to 33 in m, k, 0.5?
0.5
Let q = 4696 + -4696. Which is the nearest to -0.1? (a) q (b) -5/6 (c) 3 (d) 2/3
a
Let f = -1.79 - -3.79. Let i be (-1450)/3450 - (-2)/23. What is the closest to i in -0.07, f, -2/5?
-2/5
Let q = 34859 + -34857. Which is the nearest to 2? (a) 403 (b) 5 (c) q (d) -4
c
Let x be 6 + 60/(-9) - (-1513)/(-6). Let s = x + 253. What is the nearest to -3 in s, 3, -1/7?
-1/7
Let o = 0.035 - 8.735. Let p = -3.7 - o. What is the nearest to -0.2 in 0.1, p, -1?
0.1
Let m be 7/((-63)/24) + 3. Suppose 0 = -84*l + 45*l. Which is the nearest to 0.1? (a) m (b) 5 (c) l
c
Let w = -10 - -15. Let l be 26/(-3) - 12020/(-7212)*48/10. Which is the closest to l? (a) w (b) 1/10 (c) 1
b
Let g = 1 - -1. Let r = 3429.6 + -3437.6. Which is the closest to 2/7? (a) g (b) r (c) 4
a
Let k = 0.16364 - -0.13636. Which is the nearest to 87? (a) -2/13 (b) 1 (c) -5 (d) k
b
Let g = 14093 + -14089. What is the closest to -4/11 in -2, -19, g?
-2
Let u(b) = 5*b**3 - b**2 - 18*b - 16. Let n be u(-1). Let m = -0.8 - -0.3. What is the nearest to 3/10 in n, m, 2/3?
2/3
Let o = -18873 - -19676. What is the closest to o in -0.1, -1/2, -4, -3?
-0.1
Let d be 14 - (-2 - -3 - 15)*(-6)/21. What is the closest to d in -2/15, -7, -4, -0.3?
-2/15
Suppose 90*a + 0*a = 38*a + 52. Let t = -0.13 - 8.87. Let b = -9.07 - t. What is the closest to a in -0.5, b, -0.2?
b
Let k be -148 + ((-1178)/279 - 2/(-9)). Let l = k + 458/3. Let m be 5/(-12) - 6/24. Which is the closest to m? (a) l (b) -1/8 (c) 2
b
Let v be (16/1320)/(20/499). Let o = v + -2/825. What is the nearest to 1/5 in 4, -0.4, o?
o
Suppose -21*t - 3654 = -3654. Which is the nearest to t? (a) 4 (b) 1/2 (c) -2/421
c
Let l be (2/(-30))/(104/260). Let o = -70 + 111. Let n = o + -43. What is the closest to n in -4, l, -3?
-3
Let z = 13467.4 + -13467. Which is the closest to 0.46? (a) z (b) -2 (c) 3 (d) 4
a
Let p be ((-147)/(-49))/((-3)/(-6)). Suppose -4 + p = -2*o. Let x be 12/(1*2/(-4)). Which is the nearest to 0.1? (a) 2 (b) o (c) x
b
Let k = 590 + -626.63. Let j = -1.63 - k. Which is the closest to 0? (a) -1/3 (b) -2/5 (c) j
a
Let u = 5152/195 - 1046/39. Let k = 190/369 - 12/41. Which is the closest to -4? (a) -2 (b) k (c) u
a
Let s = 19061 - 19065. What is the nearest to -0.6 in s, 3/13, -3/5, 0?
-3/5
Let x be (((-2)/(-24))/(-1))/(20/30). Let r = -3 + 1. Let z = 0.8 - 0.9. Which is the nearest to z? (a) x (b) r (c) 2
a
Let u(o) = -o**2 + 14*o + 334. Let p be u(25). Let v be (-2 - -4) + (-123)/2. Let n = v + p. What is the closest to n in 2, -2, 3/5?
3/5
Let v = 115 - 117. Let r be 12/(-8) + 58/44. What is the closest to 0 in 0, v, r?
0
Let o = 46707/5 + -9341. Let d be (6 + 2/(-2))*(-12 - -13). Let g = 0 + -0.02. What is the closest to g in d, 3, o?
o
Let x = -577/33 - -53/3. Let z be -7*1/3 + 16/8. Which is the closest to 1? (a) -1 (b) z (c) x
c
Let h = 4998 + -5050. What is the nearest to -0.4 in h, 4, -3?
-3
Let q = -281.93 - -282. Let k = q - 1.07. Which is the nearest to -13? (a) 1 (b) k (c) 4
b
Let g = -83/3 + 28. Let s = -1913 - -2224.3. Let y = s + -311. What is the nearest to -2/3 in g, y, -3?
y
Let b be 12/(-63)*7/(-2). Let k be (9/(-774))/(2/8). Let u = 96/215 + k. What is the nearest to 1/2 in b, u, 0.1?
u
Let g be -7 - ((-1)/(-2) + -6). Which is the closest to -2/7? (a) -0.3 (b) -1/5 (c) g (d) 0.7
a
Let o = -39 + 44. Let j = -5.46 - -0.56. Let s = o + j. What is the nearest to s in -1/5, -0.1, 2/9?
2/9
Let d = -662.4 + 709. Let x = -42.6 + d. Let n = 2.97 + 0.03. Which is the closest to -1? (a) 1/5 (b) x (c) n
a
Let r = -5.125 - -56.125. Which is the closest to -1/4? (a) -0.2 (b) r (c) 3 (d) 2
a
Let u = 46 - 48. Let g = 12.026 + -12.3. Let j = g + -0.026. Which is the nearest to 0.1? (a) u (b) 4 (c) j
c
Let o be 4/6*(0 - 1). Let h = 17.9 - 21. Let x = h - -3. What is the nearest to o in 3/4, -0.3, x?
-0.3
Let x = -0.491 + 0.891. What is the closest to 1 in x, 0.1, -5, -1/4?
x
Suppose 0 = 7*y - 968 - 978. Suppose 3*v - 3*n = 113 - y, 5*v - n = -295. What is the closest to -1 in v, -0.5, 2/11, 0.3?
-0.5
Let t = 4996.1 - 4995.6. Suppose 0*r + 2*k - 15 = 3*r, -3*r - 15 = -5*k. Which is the nearest to -2? (a) r (b) t (c) 6
b
Let u = 6211 + -6213. Which is the closest to -0.2? (a) u (b) 0.01 (c) -1 (d) -0.01
d
Let l = -20 + 12. Let p be 0 + 14/l + 2. Suppose -751*m - 3401*m - 6468 = 5988. Which is the closest to -2? (a) p (b) m (c) 3
b
Let q = 7180 + -7182. What is the closest to 0.3 in q, -686, -1/6?
-1/6
Let q(k) = -k**3 - 8*k**2 + 2*k. Let l be q(-8). Let p be (-1)/12*l/6. Which is the nearest to p? (a) 0.5 (b) -7 (c) 4
a
Let t = -1500.4 + 1500.7. Which is the nearest to t? (a) -2/5 (b) -0.17 (c) -1 (d) 3
b
Let p = -7.04 - -7.04. Which is the nearest to p? (a) 5 (b) -2/9 (c) -0.2 (d) -117
c
Let x = 9.033 - 0.033. Let l = -1301.7 + 1302. What is the nearest to -2 in x, l, -0.2?
-0.2
Let n be (-29)/(232/24)*(-3)/(-27). What is the closest to 2/11 in 198, 0.5, n?
0.5
Suppose -8*y + 650 = -646.
|
{
"pile_set_name": "DM Mathematics"
}
|
Give c(r(h)).
-h**4
Suppose -v + 9 = 3*w, 0 = -0*v - 4*v + 12. Let r(z) = -4*z + 6*z**w + 4*z. Let f(m) = -m**2 - 3*m**2 + 2*m**2. Give f(r(u)).
-72*u**4
Let d(p) = -3*p. Let x(k) = 159*k**2. Give d(x(n)).
-477*n**2
Let j(n) = -2137*n**2. Let u(a) = 2*a. What is u(j(x))?
-4274*x**2
Let t(r) = 2 - 2 + 2*r. Let g(y) be the second derivative of y**3/3 - 24*y. Determine t(g(f)).
4*f
Let r(o) = 16*o - 40*o + 16*o. Let v(x) = 3*x**2. Calculate v(r(p)).
192*p**2
Let g(h) = 6*h. Let w(i) = -34*i. Give w(g(o)).
-204*o
Let d(l) = 3 - 3 - 29*l - 4*l. Let g(a) = -3*a. Calculate d(g(f)).
99*f
Let b(d) = -13*d. Let k(p) be the third derivative of p**6/720 - p**4/24 - 3*p**2. Let r(q) be the second derivative of k(q). What is r(b(s))?
-13*s
Let v(c) = -2*c**2. Let i(q) = -155*q**2 - 45*q - 45. Let y(m) = 7*m**2 + 2*m + 2. Let d(j) = 2*i(j) + 45*y(j). Determine d(v(f)).
20*f**4
Let i(d) = -7*d**2. Let z(q) be the first derivative of -q**4/12 + q - 5. Let c(w) be the first derivative of z(w). Calculate i(c(x)).
-7*x**4
Let g(c) be the second derivative of -c**4/6 - c. Let j be 4/6 + 24/18. Let z(b) = -9 - j*b + 3*b + 9. Determine g(z(l)).
-2*l**2
Let v(x) = -16*x + 14*x - 1 + 1. Let r(n) = -n. Give r(v(h)).
2*h
Let x(c) = 6*c. Let j(v) = -2*v**2 + 3. Determine x(j(y)).
-12*y**2 + 18
Let v(c) = 9*c**2. Let u(n) = -4*n. Give u(v(b)).
-36*b**2
Let a(t) = -6*t. Let b(r) = 2*r - 4*r - 3*r. Let n(m) = 4*a(m) - 5*b(m). Let s(j) be the first derivative of 3*j**2/2 + 1. Calculate s(n(f)).
3*f
Let l(k) = 0*k - 3*k + 6*k. Let p(q) = -1. Let y(x) = x - 6. Suppose -3*g = -23 + 5. Let a(i) = g*p(i) - y(i). Calculate a(l(r)).
-3*r
Let b(v) = 6*v**2. Let s(z) = -z**2 + 2*z**2 - 3*z**2. Calculate b(s(i)).
24*i**4
Let j(t) = 4*t. Let v(w) = 4*w. Give v(j(l)).
16*l
Let j(w) be the third derivative of w**4/24 - w**3/6 - 3*w**2. Let n(r) = 10*r - 12. Let y(k) = 12*j(k) - n(k). Let l(s) = -2*s**2. Give y(l(a)).
-4*a**2
Let v(i) = -i. Let x(r) = 1. Let t(q) = q - 5. Let f(m) = t(m) + 5*x(m). Calculate v(f(j)).
-j
Let m(c) = 2*c**2. Let j(v) = -31 + 6*v**2 + 31. Give m(j(o)).
72*o**4
Let o(z) = 2*z**2. Let x(i) = 15*i + 34. Let c(q) = -7*q - 17. Let y(b) = 9*c(b) + 4*x(b). What is o(y(s))?
18*s**2 + 204*s + 578
Let d(x) = 20*x**2. Let v(r) = 10*r**2. Calculate d(v(g)).
2000*g**4
Let x(u) = -u. Let h(o) = -7*o**2 - 90. Determine x(h(a)).
7*a**2 + 90
Let c(p) = 12*p**2. Let a(x) = -x**2 - 1. Let o(n) = 6*n**2 + 3. Let v(r) = -3*a(r) - o(r). Determine v(c(q)).
-432*q**4
Let y(r) = -3*r. Let t(d) = -680*d**2. Calculate t(y(j)).
-6120*j**2
Let h(a) = a - 231. Let y(k) = -32*k. Give y(h(t)).
-32*t + 7392
Let g(x) = -11*x. Let m(v) = -2*v**2 + 45*v. Give m(g(d)).
-242*d**2 - 495*d
Let r(q) = 5*q**2 - 13*q**2 + 11*q**2. Let k(u) = -4*u. Give k(r(n)).
-12*n**2
Let f(n) = -n**2. Let c(a) = 327*a**2 - 2. Give c(f(u)).
327*u**4 - 2
Let a(h) = -h. Let s(g) = 14*g**2 - 10. Let w(m) = 1. Let p(f) = s(f) + 10*w(f). Determine p(a(n)).
14*n**2
Let p(j) be the first derivative of j**2 + 28. Let k(o) = 1. Let s(t) = 4*t - 10. Let d(h) = 10*k(h) + s(h). Determine p(d(q)).
8*q
Let g(c) be the third derivative of 3*c**4/8 + c**3 + 4*c**2. Let w(v) = -8*v - 5. Let u(j) = 5*g(j) + 6*w(j). Let y(x) = -4*x**2. Calculate u(y(n)).
12*n**2
Let n(a) = -3*a**2. Let r = -9 - -12. Let w(m) = -4*m + 6*m - r*m. What is w(n(c))?
3*c**2
Let w(s) = s + 9. Let x(i) = 6*i. Give w(x(a)).
6*a + 9
Let g(q) = 2*q - 3. Suppose -d = -r + 4*r + 6, -4*r = 4*d. Let x(n) = -n + 1. Let b(w) = d*x(w) + g(w). Let v(i) = -i**2. What is v(b(l))?
-l**2
Let g(h) = h - 23. Let x(b) = -7*b. Calculate g(x(a)).
-7*a - 23
Let v(t) = -4*t. Let o(n) = 3*n + 2*n + 2*n. What is v(o(c))?
-28*c
Let h(u) = -u**2. Let o(d) = d + 11. Let x(w) = -2. Let j(q) = -4*o(q) - 22*x(q). Give h(j(v)).
-16*v**2
Let u(h) = -11 + 24 - 10 + h. Let r(v) = -2*v. Give r(u(j)).
-2*j - 6
Let v(c) = -21*c. Let a(r) = 3*r. Let y be 0 - (-2 + (3 - 3)). Let u = -11 - -26. Let z(o) = u*a(o) + y*v(o). Let d(w) = -2*w. Determine z(d(i)).
-6*i
Suppose 2*q = -1 + 5. Let f(u) = -u**2 + 8*u**2 - 2*u**2 - u**q. Let t(k) be the second derivative of k**3/3 + k. What is t(f(z))?
8*z**2
Let k(l) = -3*l + 10*l - 7*l - l**2. Let a(f) = -2*f**2 - 10*f. Give k(a(y)).
-4*y**4 - 40*y**3 - 100*y**2
Let z(s) = -2*s**2 - 6*s**2 + 3*s**2. Let v(f) = -2 + 3 - 1 - 2*f**2. Calculate v(z(i)).
-50*i**4
Let j(m) = 9798*m**2. Let g(r) = -2*r**2. What is g(j(k))?
-192001608*k**4
Let n(y) = 144*y**2. Let a(d) = 9*d. Determine a(n(z)).
1296*z**2
Let o(h) = -2*h. Let u(m) = 2*m + 2*m + 0*m - 3*m. Give o(u(d)).
-2*d
Let a(d) = 2*d**2. Let b(s) = 9069*s. Give a(b(y)).
164493522*y**2
Let y(p) = p. Let k(n) = -3*n - 3. Let t(v) = -1. Let o(s) = 2*k(s) - 6*t(s). What is y(o(d))?
-6*d
Let x(j) = -2*j**2 - 3*j - 3. Let a(y) = 10*y**2 + 14*y + 14. Let i = -3 + 6. Let r(n) = i*a(n) + 14*x(n). Let u(o) = -3*o + 2*o + 2*o. Determine u(r(d)).
2*d**2
Suppose -b + 1 = -5*v - 11, 2*b + 5*v = -6. Suppose 4 + 3 = 2*a + c, 5*a - 4*c = -b. Let t(j) = 0*j**a + 4*j**2 - 6*j**2. Let q(g) = 5*g. What is q(t(y))?
-10*y**2
Let c(o) = -o - 5. Let z(m) = -64*m**2. Determine z(c(v)).
-64*v**2 - 640*v - 1600
Let a(b) = -b + 3. Let z(q) = q**2 + 10*q + 12. Let w be z(-9). Let s(v) = -v + 5. Let x(f) = w*s(f) - 5*a(f). Let h(l) = 2*l. Give x(h(d)).
4*d
Suppose -3*g = -5*o - 47, -3*o = g + g - 63. Let d(y) = -g*y**2 + 5 - 5 + 21*y**2. Let p(i) = -4*i. Determine d(p(n)).
-48*n**2
Let o(s) = 0 - s + 0. Let r(a) be the second derivative of 0*a**2 - 2/3*a**3 + 0 - a. Determine r(o(m)).
4*m
Let g(q) be the first derivative of -1 + q**2 - 2*q + 2*q. Let b(x) = 3*x**2 - 7 + 7. Calculate b(g(r)).
12*r**2
Let s(g) = 1040*g. Let j(m) = 3*m. Give s(j(h)).
3120*h
Let z(h) = 3*h. Let n(f) = -76*f. Calculate n(z(y)).
-228*y
Let b(g) = g**2 - 4*g + 4*g. Let q(y) be the third derivative of 0*y**3 + 0*y**4 + 0 + 0*y + 1/30*y**5 + 4*y**2. Calculate q(b(v)).
2*v**4
Let h(f) = -f**2. Let g(u) = -2*u + 121. Give h(g(y)).
-4*y**2 + 484*y - 14641
Let v(w) be the second derivative of 3*w**3/2 + 2*w. Let q(x) = 3*x + 0*x - x. What is v(q(m))?
18*m
Let j(a) = -12*a**2. Suppose 2*r = -0*r + 3*b + 15, 25 = 5*b. Let o(v) = -r*v**2 + 8*v**2 + 5*v**2. Calculate o(j(x)).
-288*x**4
Let f(n) = 15*n - 10*n - 4*n. Let q(t) = -4*t. Determine q(f(d)).
-4*d
Let f(m) be the second derivative of m**5/24 + m**3/6 - 3*m. Let d(o) be the second derivative of f(o). Let v(u) = u**2. Calculate d(v(q)).
5*q**2
Let s(t) be the first derivative of -5*t**3/3 - 4. Let i(z) = 2*z + 0*z + z - 2*z. What is s(i(a))?
-5*a**2
Let u(r) = -4*r**2 - r**2 + 4*r**2 + 4*r**2. Let b(t) = 9*t**2. What is b(u(k))?
81*k**4
Let y(g) = 208*g**2 + 39*g. Let q(k) = 26*k**2 + 5*k. Let d(o) = 39*q(o) - 5*y(o). Let z(i) = i. Give d(z(m)).
-26*m**2
Let m(f) = 71*f. Let j(u) = u**2. Determine m(j(n)).
71*n**2
Let s(c) = 15*c. Let q(f) be the first derivative of -f**3 - 54. What is s(q(a))?
-45*a**2
Let h(v) = -164*v**2 - v. Let n(w) = -10*w**2. Give h(n(m)).
-16400*m**4 + 10*m**2
Let x(t) = -59*t**2. Let u(m) = -46*m. Determine u(x(g)).
2714*g**2
Let m(i) = i**2. Let g(d) = -1657*d**2. What is m(g(c))?
2745649*c**4
Let g(j) = 7*j**2 - 793*j + 793*j. Let r(m) = -3*m**2. Determine g(r(o)).
63*o**4
Let v(j) = -j**2. Let z(o) = -o - 2. Let u be z(-5). Suppose 0 = c + 1 - u. Let h(s) = c - 2 + 2*s. Calculate v(h(a)).
-4*a**2
Let s(m) = -4*m. Let g(t) be the second derivative of t**3/6 - 30*t. Determine s(g(p)).
-4*p
Let d(n) = -2*n. Let a(z) = 2*z**2 - 4. Let w(l) = -4*l**2 + 0 + 5*l**2 - 3. Let s(j) = 3*a(j) - 4*w(j). Calculate s(d(b)).
8*b**2
Let k(y) = 6*y**2. Let n(p) = -2644*p**2. Give n(k(f)).
-95184*f**4
Let d(v) = -v**2 + v + 1. Let x(g) = -4*g**2 + 5*g + 5. Let i(c) = 5*d(c) - x(c). Let p(l) = 2*l. What is i(p(k))?
-4*k**2
Let f(i) = 13*i - 14*i - 2*i. Let b(d) = -12*d. Give b(f(p)).
36*p
Let c(a) = -2*a. Let z(k) = 3*k - 3. Suppose 0 = n - 6*n + 5. Let u(v) = v + 1. Let g(l) = n*z(l) + 3*u(l). What is g(c(x))?
-12*x
Let b(g) = -6*g + 1. Let d(x) = -8*x**2. Give b(d(w)).
48*w**2 + 1
Let t(b) be the first derivative of -1/2*b**2 + 0*b + 1. Let v(l) = -8*l. Let p(q) = -3*q. Let o(m) = 11*p(m) - 4*v(m). Give o(t(d)).
d
Let r(h) = 2*h**2. Let l(g) = 197*g**2 + 2*g. What is l(r(u))?
788*u**4 + 4*u**2
Let x(t) =
|
{
"pile_set_name": "DM Mathematics"
}
|
(a) k (b) h (c) 0.2
a
Let g be -8*((-9)/(-42))/(-3). Let p be 2 + (-20)/6 + 1. Which is the second biggest value? (a) p (b) -3 (c) g
a
Let n = -6 - -18. Let u be 1 - (-1 - (-26)/n). What is the second smallest value in -0.2, u, 0.3?
u
Let y = -125.2 + 125. Let x(w) = w**2 - 2*w + 1. Let j be x(3). Which is the smallest value? (a) j (b) y (c) -3
c
Let l(m) = -m**2 - 5*m + 1. Let r be l(-6). Which is the biggest value? (a) 3 (b) -3 (c) r
a
Let w = -0.52 - -0.5. Let g = 0.18 - w. Which is the third smallest value? (a) g (b) 3 (c) 1
b
Let o = 0.4 - 0.3. Let r = -0.7 + 1. Let u(s) = -s**2 + 5. Let i be u(0). What is the third biggest value in o, i, r?
o
Let j be (-4)/(-26) - (-236)/156. What is the smallest value in 0.3, 5, j?
0.3
Let w = 18 - 13. Let x = w - 2. Which is the second biggest value? (a) x (b) 4 (c) -5
a
Let i(h) = -2*h**2 + 35*h - 13. Let k be i(17). What is the smallest value in 0.08, -1, k?
-1
Let x = 8.1 + -0.1. Let m = x + -4. Let r = -0.1 + 0.3. Which is the biggest value? (a) m (b) -3 (c) r
a
Let h = 521/2 + -2553/10. Let x(v) = -v - 9. Let q be x(-4). Let n = h + q. Which is the smallest value? (a) -0.2 (b) 2/9 (c) n
a
Let b = -11 + 10. Let c(n) = n + 6. Let a be c(-5). What is the second biggest value in a, b, 4/7?
4/7
Let o = -24 - -19. Which is the second biggest value? (a) -0.8 (b) 0 (c) o
a
Suppose 4*n = 2*h - 8, 20 = -5*n - 5*h - 5. Let k = 8 + n. Suppose k*u + 32 = 3*m, -4*u + 2*m - 4*m - 8 = 0. Which is the biggest value? (a) u (b) 0.3 (c) -1
b
Let f = 106/3 - 35. Let z = -21 + 26. Which is the second smallest value? (a) -2/5 (b) z (c) f
c
Let y be (-14)/12*3/21. Let x = -106/5 + 21. What is the biggest value in y, 1/4, x?
1/4
Let k = 2.1 - 2.55. Let l = 0.05 + k. Let r = 29/20 - 6/5. Which is the third biggest value? (a) l (b) -5 (c) r
b
Let t = 0.23 - 0.13. What is the second biggest value in -9, t, 0?
0
Let y = 11.97 - -0.03. Let m = y - 12. Which is the smallest value? (a) -0.8 (b) m (c) -1
c
Suppose -7*b - 20 = -11*b. What is the second smallest value in b, -1/8, 3, 4?
3
Let q = 1.3 - 1.3. Suppose -5*p = 7*n - 2*n - 25, -16 = -4*p - 5*n. Which is the second smallest value? (a) 2/13 (b) p (c) q
a
Suppose -3*k - 5*j = -6, 4*j - 3 = 9. Let m = -0.1 + 0.1. Let d = 0 - m. Which is the third biggest value? (a) 2 (b) d (c) k
c
Let o = 0.91 + -0.41. Let b = 3 + -2. What is the biggest value in 5, b, o?
5
Let k = 1.4 - -9.6. Let j = -16 + k. Which is the biggest value? (a) 1 (b) 5 (c) j
b
Let u = -23 + 19.4. Let q = u + 4. What is the third biggest value in -0.4, -4, q?
-4
Let k = -0.05 + -0.55. Let g = k - -0.2. Let m = g - 1.6. Which is the second biggest value? (a) m (b) 0.4 (c) 4
b
Let z = 20 + -11. Suppose -5*d + z = -2*d. Which is the second biggest value? (a) -3 (b) d (c) 3/8
c
Let f = -1.2 - -10.7. Let n = 10 - f. Which is the second smallest value? (a) -1/7 (b) n (c) -0.3
a
Let c = 19 + 5. Let n = c - 24.4. What is the third biggest value in -3/4, -4, n?
-4
Let a be (-4)/(-3) - (-20)/(-18). What is the second smallest value in 1/4, a, 0.1?
a
Let f = 37/56 - 2/7. What is the second biggest value in f, -2/5, 0.4?
f
Let m = 2 - 1. Let x(k) = -k**3 - 7*k**2 - 2*k + 3. Let i be x(-7). Let h = 55/3 - i. What is the third biggest value in h, m, 2?
m
Let x = -32 - -36. What is the third biggest value in -5, 3/14, 2/9, x?
3/14
Let q = 7.61 + -0.11. Let n = q + -1.5. Let g = -4 + n. Which is the second biggest value? (a) 5 (b) g (c) -5
b
Let k = -0.31 - -0.11. Which is the smallest value? (a) 2/15 (b) -1/4 (c) -2 (d) k
c
Suppose 4 = 4*c - 0. What is the second biggest value in -4, 9, c?
c
Let z = 52.6 - 54.87. Let d = z - -0.27. Which is the third biggest value? (a) 0.3 (b) 1/4 (c) d
c
Let u = 0 + -0.3. Let o be (-8)/(-6)*18/(-12). Let d be o + 1/12*26. Which is the smallest value? (a) d (b) u (c) -0.2
b
Let k = -2.5 - -0.5. Let d = 6.8 - 7. Let h = 569/4 - 143. Which is the third smallest value? (a) d (b) h (c) k
a
Suppose -5*w + 2*w - 39 = 0. Let z = w - -13. Which is the smallest value? (a) -1/3 (b) 2/11 (c) z
a
Let m = -43.95 + 46. Let b = m - 0.05. Let f be (-1)/(-2*2/(-8)). What is the biggest value in b, -5, f?
b
Suppose -25 = 8*w - 3*w. Let o = w - -3. Let i be -3 - -3 - 1/o. What is the second smallest value in -0.4, -1, i?
-0.4
Let g = 4.08 + -0.08. Which is the second smallest value? (a) -1 (b) -0.3 (c) g
b
Let p(m) = m**2 + 3*m + 45. Let c be p(0). What is the biggest value in c, -4/9, -5, 1?
c
Let t = -19 - -21. Let q = 3 + -5. Let i be 0 - q - (-160)/(-75). What is the second biggest value in t, i, 0.5?
0.5
Let d = 0.9 - 1.3. Let h = 2 - 1.9. Let t = 0.6 - 2.6. Which is the third biggest value? (a) t (b) d (c) h
a
Let g be (1 - (0 + 0))*-2. Let j = 1 + -2. Let r = j + 6. What is the second biggest value in g, r, 2/5?
2/5
Let o = -3.7 - 0.3. Let u = -3.56 + 0.06. Let q = u - o. What is the biggest value in -4, 0, q?
q
Let o = -0.37 - 0.23. What is the second smallest value in -3, 3, o, -2?
-2
Let n = -1.1 + 0.6. Let y = n - -0.7. What is the second smallest value in -1, 1/7, y?
1/7
Let k = 0.44 - 0.04. Let p = k + -0.7. Let n = 3 + -5. Which is the second biggest value? (a) n (b) p (c) -0.5
c
Let l = 8807/156 - -538/39. Let w = l - 69. Which is the biggest value? (a) 0.3 (b) 0.1 (c) w
c
Let w = -1 + 3. Let g = 2.02 - w. Let h = g - 0.42. What is the biggest value in -3, h, 0?
0
Let p = 0 - 0. Let y = 0.1 + 0.3. What is the smallest value in y, p, 3?
p
Let q be -6*3*(-8)/36. Which is the biggest value? (a) -0.5 (b) q (c) -1
b
Let h = 23.4 - 23. Which is the second biggest value? (a) h (b) 0.5 (c) 2
b
Let b(f) = -f**2 + 11*f - 4. Let o be b(8). Suppose -3*g = -8*g + o. What is the second biggest value in -4, 2, g?
2
Let p = 447/4 + -112. Which is the third smallest value? (a) 2/3 (b) -3 (c) p
a
Suppose -4*j = -2*z - 6, -5*z - 3*j = -0*z - 11. Which is the second smallest value? (a) z (b) 5 (c) 4/3 (d) 0.07
a
Let h = -0.02 + -0.18. Let i = -2.7 + -0.2. Let t = -3 - i. Which is the second biggest value? (a) h (b) -3 (c) t
a
Suppose 2 = -4*r + 18. Let w be (9/15)/((-6)/r). Which is the third biggest value? (a) 1/3 (b) w (c) -0.1
b
Let n = 0.49 + -5.49. Which is the smallest value? (a) n (b) 3 (c) -4/7 (d) -4
a
Let g(o) be the third derivative of 0 + 1/3*o**3 - 1/24*o**4 + 0*o + 4*o**2. Let v be g(-3). What is the second biggest value in v, 0.5, 2?
2
Let o = -0.09 - -9.09. Let y = -6 + o. Which is the smallest value? (a) 0.1 (b) -5 (c) y
b
Suppose 3*y + 3 = 4*y. Suppose -p + y*m + 21 = p, 4*p - 2*m - 22 = 0. What is the second smallest value in p, -1, 4?
p
Let h = -1.5 + -1.5. What is the biggest value in h, -0.5, -5?
-0.5
Let r = 39 - 38.9. Which is the third smallest value? (a) -3/8 (b) 4 (c) r
b
Let x = -0.03 + 20.03. Let a = x + -16. What is the biggest value in a, -3, -2?
a
Let i = 37/108 + -1/108. Which is the smallest value? (a) -2/55 (b) i (c) 0.1
a
Let j be (-3)/21 - (-146)/434. Let z = -71927 - -8919003/124. Let g = j - z. What is the third biggest value in 0.1, 1, g?
g
Let s be 57/51 - (3 - 2). What is the second smallest value in 7, 5, s, -2/3?
s
Let u be 1/(-2)*(-40)/30. Which is the smallest value? (a) 0.2 (b) 0.3 (c) u (d) 3/4
a
Let t = -26.9 - -27. What is the biggest value in -0.4, t, 2?
2
Let z = -0.14 - -8.14. Let j = z + -7.7. Which is the biggest value? (a) 0 (b) j (c) 0.1
b
Let r = -91/68 + 10/17. Let y be 112/21*((-15)/(-12))/5. Let t = -0.47 + -0.03. Which is the third smallest value? (a) t (b) y (c) r
b
Let w be -1*(0 - -2) + -2. Suppose -2*p + p = -4*f + 8, 3*p = -12. What is the second smallest value in f, w, 0?
0
Let d = 1 + -3. What is the second biggest value in 0.3, -4/9, d?
-4/9
Let t = 0 + 0.1. Let j be 3 + 2*(-20)/12. Which is the biggest value? (a) -2/13 (b) t (c) j
b
Let w = -35.6 + 36. Which is the second biggest value? (a) w (b) -11 (c) 4
a
Let r = -3.6 - -1.2. Let o = 2.9 + r. What is the biggest value in 1, -0.1, o?
1
Let g = 9 + -10.7. Let x = 2.3 - g. Let f = 233/3 - 76. Which is the second biggest value? (a) f (b) x (c) 1/5
a
Let l = -0.63 - -0.13. Let v be ((-1)/3)/(2/(-6)). Let j be v/(-18)*-2*-1. What is the third biggest value in
|
{
"pile_set_name": "DM Mathematics"
}
|
he greatest common factor of 2732 and 56?
4
What is the highest common factor of 126 and 69342?
42
What is the greatest common divisor of 27888 and 24153?
249
What is the highest common factor of 594 and 239814?
54
What is the greatest common factor of 12520 and 113306?
626
Calculate the greatest common divisor of 28980 and 56925.
1035
Calculate the highest common factor of 238 and 40052.
34
Calculate the greatest common divisor of 6975 and 7533.
279
Calculate the highest common factor of 131 and 160344.
131
What is the highest common divisor of 16013 and 6453?
239
Calculate the highest common factor of 103466 and 176.
22
What is the highest common divisor of 10772 and 68?
4
Calculate the greatest common factor of 3945 and 45.
15
What is the highest common divisor of 1659 and 179172?
1659
Calculate the highest common divisor of 97 and 18721.
97
Calculate the greatest common factor of 2872 and 196.
4
Calculate the greatest common divisor of 212150 and 50.
50
Calculate the greatest common factor of 4 and 327100.
4
What is the highest common factor of 46905 and 636?
159
Calculate the highest common divisor of 3550 and 46434.
142
Calculate the highest common factor of 25 and 2569950.
25
Calculate the greatest common factor of 10088 and 4268.
388
What is the highest common divisor of 90615 and 2205?
105
What is the highest common factor of 85 and 7769?
17
Calculate the greatest common factor of 14204 and 954.
106
What is the greatest common factor of 4680 and 193635?
585
Calculate the highest common factor of 25155 and 936.
117
Calculate the greatest common factor of 10770 and 390.
30
What is the highest common divisor of 35972 and 1700?
68
What is the greatest common factor of 1313 and 221?
13
What is the greatest common factor of 603 and 153?
9
What is the highest common divisor of 74175 and 405?
15
Calculate the highest common divisor of 1311 and 138.
69
What is the highest common divisor of 62 and 844?
2
What is the greatest common factor of 25600 and 768?
256
Calculate the highest common factor of 11371527 and 9.
9
Calculate the greatest common factor of 19 and 167162.
19
What is the greatest common factor of 450 and 23350?
50
What is the greatest common factor of 1088 and 2792?
8
Calculate the greatest common divisor of 945 and 125055.
315
Calculate the highest common factor of 16 and 146992.
16
What is the greatest common divisor of 735 and 5495?
35
What is the greatest common factor of 637 and 2?
1
Calculate the greatest common divisor of 546 and 50141.
91
What is the greatest common factor of 222 and 28?
2
What is the highest common factor of 611955 and 126?
9
Calculate the greatest common divisor of 360 and 157440.
120
Calculate the highest common divisor of 66 and 1197867.
33
Calculate the highest common divisor of 69210 and 1170.
90
What is the highest common divisor of 1752 and 68?
4
Calculate the highest common factor of 2367586 and 164.
82
What is the greatest common factor of 3944 and 3349?
17
Calculate the highest common factor of 25803 and 893.
47
Calculate the highest common divisor of 390 and 1935.
15
Calculate the highest common factor of 296570 and 10.
10
Calculate the highest common divisor of 12283 and 4671.
173
Calculate the highest common factor of 106524 and 1320.
132
Calculate the highest common divisor of 102 and 296106.
102
Calculate the greatest common divisor of 156 and 1173432.
156
Calculate the greatest common factor of 2871 and 47241.
261
Calculate the greatest common factor of 29154 and 54.
6
What is the highest common divisor of 5246 and 4636?
122
What is the highest common factor of 5197005 and 15?
15
What is the highest common factor of 1552 and 834200?
776
What is the highest common divisor of 800 and 2920?
40
What is the greatest common divisor of 207 and 4?
1
What is the greatest common divisor of 669140 and 40?
20
What is the greatest common factor of 48 and 345834?
6
What is the greatest common factor of 42 and 193046?
14
Calculate the greatest common factor of 33800 and 7800.
2600
What is the highest common divisor of 4498 and 93847?
13
Calculate the greatest common divisor of 27060 and 3015.
15
What is the highest common divisor of 1264 and 1343?
79
Calculate the greatest common factor of 194174 and 102.
34
What is the greatest common divisor of 2750 and 350185?
55
Calculate the highest common factor of 628 and 1324.
4
What is the highest common divisor of 3126 and 87?
3
What is the greatest common factor of 45416 and 3108?
28
What is the highest common factor of 1037128 and 16?
8
Calculate the greatest common factor of 587 and 714379.
587
Calculate the greatest common divisor of 455 and 2119.
13
What is the greatest common factor of 871 and 73231?
67
What is the greatest common factor of 14688 and 720864?
288
Calculate the highest common factor of 4960 and 3040.
160
What is the highest common factor of 19573 and 2997?
37
Calculate the highest common divisor of 952 and 65296.
56
Calculate the greatest common factor of 236314 and 61.
61
What is the highest common divisor of 85844 and 132?
44
Calculate the greatest common divisor of 152 and 84797.
19
Calculate the greatest common divisor of 1188 and 44847.
297
Calculate the greatest common divisor of 808 and 18483.
101
Calculate the highest common divisor of 11840 and 6290.
370
What is the highest common divisor of 43819 and 87?
29
What is the greatest common divisor of 5172 and 264?
12
What is the highest common factor of 20832 and 10402?
14
Calculate the greatest common factor of 150537 and 722.
361
Calculate the highest common divisor of 18836 and 136.
68
Calculate the greatest common divisor of 2920 and 370.
10
What is the highest common factor of 138904 and 11456?
1432
Calculate the greatest common divisor of 253815 and 15.
15
What is the highest common factor of 477 and 39803?
53
What is the greatest common factor of 132 and 5852?
44
What is the highest common divisor of 19969 and 4009?
19
What is the greatest common factor of 40 and 10208?
8
What is the highest common divisor of 30 and 373206?
6
Calculate the greatest common factor of 197 and 592182.
197
What is the greatest common divisor of 8415 and 6919?
187
Calculate the highest common divisor of 3852637 and 47.
47
Calculate the highest common factor of 602 and 9168460.
602
Calculate the greatest common factor of 61 and 118279.
61
What is the highest common divisor of 107855 and 9063?
53
Calculate the highest common factor of 1827938 and 826.
826
What is the greatest common factor of 293518 and 86?
86
Calculate the greatest common divisor of 19152 and 14000.
112
Calculate the highest common divisor of 166772 and 1038.
346
Calculate the greatest common divisor of 7088 and 15505.
443
Calculate the greatest common factor of 16 and 254.
2
What is the greatest common divisor of 374 and 54890?
22
Calculate the greatest common divisor of 374740 and 164.
164
Calculate the highest common divisor of 7185 and 250517.
479
What is the greatest common factor of 1251 and 819?
9
Calculate the highest common factor of 3320 and 1240.
40
Calculate the greatest common factor of 402 and 796898.
134
What is the greatest common factor of 13 and 1114815?
13
What is the greatest common factor of 60 and 8334?
6
Calculate the greatest common divisor of 5954 and 234.
26
Calculate the greatest common factor of 284 and 2702260.
284
What is the greatest common divisor of 139 and 19043?
139
What is the highest common divisor of 30 and 78270?
30
Calculate the greatest common divisor of 124858 and 1149.
383
What is the greatest common factor of 7416 and 16892?
412
What is the highest common divisor of 2529840 and 254?
254
Calculate the highest common factor of 3619 and 9541.
329
What is the highest common divisor of 67712 and 88688?
368
What is the greatest common factor of 160 and 5288?
8
What is the highest common divisor of 132920 and 8?
8
What is the greatest common divisor of 14520 and 308?
44
What is the greatest common divisor of 368994 and 534?
534
What is the highest common divisor of 40 and 20830?
10
What is the greatest common divisor of 142982 and 35?
7
What is the highest common divisor of 21968 and 464?
16
Calculate the greatest common factor of 91991 and 938.
67
What is the highest common factor of 2364180 a
|
{
"pile_set_name": "DM Mathematics"
}
|
in -5*w + 12*w - 7*w - 2172*w**2.
-2172*w**2
Collect the terms in q + 8*q + 2*q + 0*q.
11*q
Collect the terms in 12*z - 25*z - 12*z - 20*z.
-45*z
Collect the terms in -1331*z + 681*z + 664*z.
14*z
Collect the terms in 39*a**2 - 12*a**2 + 13*a**2.
40*a**2
Collect the terms in 3*c**3 + 3*c**3 - 3 + 3 + c**2.
6*c**3 + c**2
Collect the terms in -3*n**3 + 257 + 130*n - 130*n.
-3*n**3 + 257
Collect the terms in 0*s - 2483 + 2483 + 24*s.
24*s
Collect the terms in 24*z + 5*z - 7*z + 0*z.
22*z
Collect the terms in 13*z + 10*z - 32*z.
-9*z
Collect the terms in 43*z**2 - 28*z**2 - 28*z**2.
-13*z**2
Collect the terms in 0 - 1 - 65*l + 48*l.
-17*l - 1
Collect the terms in 8653106*q**2 + 2 - 8653104*q**2 - 2.
2*q**2
Collect the terms in -26*q**3 + 49*q**3 - 34*q**3.
-11*q**3
Collect the terms in -1 + 6 + 43*r - 5.
43*r
Collect the terms in 116*d**2 - 60*d**2 - 56*d**2 + 2*d**3.
2*d**3
Collect the terms in 28 - p**2 + 5*p**2 - 32.
4*p**2 - 4
Collect the terms in 16*o**2 - 9*o**2 - 7*o**2 - 17*o**3.
-17*o**3
Collect the terms in 9 + q**2 + 2*q - 3*q**2 - 2*q.
-2*q**2 + 9
Collect the terms in -212 + 415 + 2*y - 203 + 0*y.
2*y
Collect the terms in -44*r**3 - 75*r**3 + 52*r**3 - 57*r**3.
-124*r**3
Collect the terms in -45*g - 30*g - g - 8*g.
-84*g
Collect the terms in 36 + 8*g**3 + 7*g**3 - 11*g**3.
4*g**3 + 36
Collect the terms in -43*s - 9*s + 9*s.
-43*s
Collect the terms in -12 + 12 - 241*b + 250*b.
9*b
Collect the terms in -26*i**3 - 23*i**3 - 10*i**3.
-59*i**3
Collect the terms in 4542*z - 9085*z + 4536*z.
-7*z
Collect the terms in -4*u**2 + 10*u**2 - 5*u**2.
u**2
Collect the terms in 418*z + 13*z**3 - 418*z.
13*z**3
Collect the terms in -3 - 115*s**2 + 1 + 118*s**2 + 2.
3*s**2
Collect the terms in -182 - 4*h + 182 - h.
-5*h
Collect the terms in 2*b - 6*b - b - 3*b - 2*b.
-10*b
Collect the terms in -194*s**3 + 385*s**3 - 193*s**3.
-2*s**3
Collect the terms in -8*h**3 + 7*h**3 + 9*h**3 - 7*h**3.
h**3
Collect the terms in 2*w**2 - 3*w**2 - 6*w**2 + 10*w**2.
3*w**2
Collect the terms in -5043 + 5043 - 4*z**2.
-4*z**2
Collect the terms in 4*p - 8*p + 13*p - p + p.
9*p
Collect the terms in 36820 + 8*k - 36820.
8*k
Collect the terms in 1344 + 1330 - 2*j**2 - 2674.
-2*j**2
Collect the terms in 157*x + 155*x - 310*x.
2*x
Collect the terms in 3522*z - 1763*z - 1758*z.
z
Collect the terms in -12 - 11 + 19*g + 23.
19*g
Collect the terms in 8*l**2 - 11 - 7 + 18.
8*l**2
Collect the terms in 1255 + 3*r**2 - 1255.
3*r**2
Collect the terms in 596*u - 53*u**2 - 596*u.
-53*u**2
Collect the terms in -2*d**3 + 341 + 322 - 663.
-2*d**3
Collect the terms in 0*f**2 - 10*f**2 + 5*f**2 + 3*f**2.
-2*f**2
Collect the terms in 2*o**3 - 5*o**3 + 5*o**3.
2*o**3
Collect the terms in -254*j**3 + 109 - 109.
-254*j**3
Collect the terms in -110532*k**2 + 110532*k**2 - 6*k**3.
-6*k**3
Collect the terms in -107*p - 262 + 109*p + 262.
2*p
Collect the terms in -11 - 6071*p**2 + 11.
-6071*p**2
Collect the terms in -4*y**3 + 2*y**3 - 7*y**2 + 16*y**2.
-2*y**3 + 9*y**2
Collect the terms in 15*v**3 + 368 - 184 - 184.
15*v**3
Collect the terms in 4 - 5*a - 30*a**2 - 4 + 3*a.
-30*a**2 - 2*a
Collect the terms in -3*q + 141*q**2 + 7*q**2 + 4*q + 54*q**2.
202*q**2 + q
Collect the terms in -24*a**3 + 16*a**3 + 13*a**3.
5*a**3
Collect the terms in -11*q**3 + 11*q**3 + 6*q**3.
6*q**3
Collect the terms in -1365*d + 2*d**2 + 1365*d.
2*d**2
Collect the terms in 11 - 4 + 0 + 7*l.
7*l + 7
Collect the terms in -12*y**3 - 6 - 9 + 18 - 3.
-12*y**3
Collect the terms in 46*o**2 + 50*o**2 + 30*o**2 - 2 + 21*o**2.
147*o**2 - 2
Collect the terms in -5*v**3 - 5*v**3 + 7*v**3 + 0*v**3.
-3*v**3
Collect the terms in 3884*s**2 - 3884*s**2 - 2*s**3.
-2*s**3
Collect the terms in 0 + 0 - 1068701*u**3 + 1068703*u**3.
2*u**3
Collect the terms in -308 + 16*g + 308.
16*g
Collect the terms in -2*v**2 - 528 + 528.
-2*v**2
Collect the terms in 15*z - 12*z + 11*z.
14*z
Collect the terms in 4*x**2 - 3*x**2 - 1256 + 1256.
x**2
Collect the terms in 3*b**3 + 3*b**3 - 5*b**3 + 10*b - 5*b.
b**3 + 5*b
Collect the terms in -29*m**2 + 83*m**2 - 32*m**2 - 30*m**2.
-8*m**2
Collect the terms in -12*o**3 - 8*o**3 + 32*o**3.
12*o**3
Collect the terms in -18*q**3 + 48*q**3 - 29*q**3.
q**3
Collect the terms in -24*f**2 + 28*f**2 + 9*f - 9*f.
4*f**2
Collect the terms in 17*u**2 - 6*u**2 + 2*u**2.
13*u**2
Collect the terms in -29 - 4 + 9*l - 11*l.
-2*l - 33
Collect the terms in 112 - 219 + 113 - y - 12*y.
-13*y + 6
Collect the terms in -12*n**3 - 36*n**3 - 1 - 42*n**3.
-90*n**3 - 1
Collect the terms in -14*a**3 - 7*a**3 - 9*a**3.
-30*a**3
Collect the terms in -205*z**2 + 205*z**2 - 24*z**3.
-24*z**3
Collect the terms in 9*s - 10*s + 5*s + 10.
4*s + 10
Collect the terms in -5*w**2 + 4*w**2 + 1085063*w - 1085063*w.
-w**2
Collect the terms in 2*x**2 + 15*x**2 + 15*x**2 - 34*x**2.
-2*x**2
Collect the terms in 135988 - 135988 + x**3.
x**3
Collect the terms in 4*f**2 + 2 - 10*f**2 - 6*f + 6*f.
-6*f**2 + 2
Collect the terms in 21249*i**3 - 10626*i**3 - 10622*i**3.
i**3
Collect the terms in -93*j - 23*j + 22*j.
-94*j
Collect the terms in 207*u + 7*u**3 - 207*u.
7*u**3
Collect the terms in 0*z - 33*z**2 + 0*z.
-33*z**2
Collect the terms in -10 + 15 - o**3 - 8 + 3.
-o**3
Collect the terms in -x**2 - 18078 + 18078.
-x**2
Collect the terms in -6 + 4 + 2 - 3*a**3.
-3*a**3
Collect the terms in 43 + 6*h**3 - 2*h**3 + 168 - h**3.
3*h**3 + 211
Collect the terms in 1824*i**2 - 1824*i**2 - 4*i**3.
-4*i**3
Collect the terms in -9959 + 50*n + 9959 - 52*n.
-2*n
Collect the terms in -10*z - 6*z + 45*z - 15*z - 7*z.
7*z
Collect the terms in -5395*y + 21569*y - 5387*y - 5391*y - 5395*y.
y
Collect the terms in -11*w**2 + 1 + w**2 + 17*w**2 + w**2.
8*w**2 + 1
Collect the terms in 11*x**2 + 12*x**2 - 27*x**2.
-4*x**2
Collect the terms in 1337*z - 666*z - 671*z - 3*z**2.
-3*z**2
Collect the terms in 13*p**2 - 34*p**2 - 2*p + 19*p**2 + 2*p.
-2*p**2
Collect the terms in 16*t**2 + 16*t**2 + 22*t**2 - 55*t**2.
-t**2
Collect the terms in -114*x + 62*x + 59*x.
7*x
Collect the terms in -5 + 2 + 4*v + 0.
4*v - 3
Collect the terms in 5*q + 6*q + 0*q - 19*q.
-8*q
Collect the terms in 2*d - 24401 + 24401.
2*d
Collect the terms in 46*w**3 + 62*w**3 + 51*w**3.
159*w**3
Collect the terms in 21*a**3 - 15*a**3 - a**3.
5*a**3
Collect the terms in -3*g**2 - 2*g**2 + 42*g - 3*g**2 + 6*g**2.
-2*g**2 + 42*g
Collect the terms in -156 + 2*b**2 + 156 + 38*b**2.
40*b**2
Collect the terms in -41*z**2 + 131*z**2 - 91*z**2.
-z**2
Collect the terms in t + 3*t + 33*t.
37*t
Collect the terms in -349*o + 286*o - 104*o - 496*o.
-663*o
Collect the terms in 4*q - 2*q - q + 3*q.
4*q
Collect the terms in 9643 + 2*s - 9643.
2*s
Collect the terms in -9*w**2 - 448*w**3 + 9*w**2.
-448*w**3
Collect the terms in 62*b + 61*b - 127*b.
-4*b
Collect the terms in 4 - 1 + 103*m**3 - 3.
103*m**3
Collect the terms in -4*l**2 + 2*l**2 + 3 + 3*l**2.
l**2 + 3
Collect the terms in -3*r**2 + 2*r**2 + 0*r**2.
-r**2
Collect the terms in -2*s - 13*s**2 + 2*s - 30*s**2.
-43*s**2
Collect the terms in -90*a**2 + 6*a**2 + 15*a**2.
-69*a**2
Collect the terms in 2*i**3 + 261093*i**2 - 261093*i**2.
2*i**3
Collect the terms in -110697 + m**2 - 4*m**2 + 110697 - m**2.
-4*m**2
Collect the terms in 20*i**3 + 34500*i**2 - 34500*i**2.
20*i**3
Collect the terms in 10 - 2 - 18*u - 7.
-18*u + 1
Collect the terms in -58*u**2 + 116*u**2 - 60*u**2.
-2*u**2
Collect the terms in 12*t**3 - 343152 + 343152.
12*t**3
Collect the terms in -24*u**3 - 25*u**3 - 24*u**3 + 88*u**3 - 16*u**3.
-u**3
Collect the terms in -15*a + 5*a - 7*a.
-17*a
Collect the terms in -3*u - 8 + 12 + u.
-2*u + 4
Collect the terms in 4*g + 5*g**3 - 4*g - 3*g**3.
2*g**3
Collect the terms in -635 + 2*y**3 + 206 + 214 + 215.
2*y**3
Collect the terms in -154 - 2*v + 154.
-2*v
Collect the terms in 1 + 14*x**3 - x**3 + 2*x**3 - 2.
15*x**3 - 1
Collect the terms in -32 - 7*q**2 - 32 + 64.
-7*q**2
Collect the terms in 18*c + 1518 + 2*c**2 - 1518 + 0*c**2.
2*c**2 + 18*c
Collect the terms in 16 - 8*x - 16 + 6*x - 2*x.
-4*x
Collect the terms in 48*y**2 + 41*y**2 - 92*y**2.
-3*y**2
Collect the terms in -4*t**3 + 204 - 208 - t**3 + 0*t**3.
-5*t**3 - 4
Collect the terms in -31*u - 2 + 3*u - 14*u.
-42*u - 2
Collect the terms in k**3 - 17*k**3 - 2*k**3.
-18*k**3
Collect the terms in 21*o**3 - 12*o**3 - 6
|
{
"pile_set_name": "DM Mathematics"
}
|
terms in 2*s**3 - 26 + 0*s**3 - 13*s**2 + 26.
2*s**3 - 13*s**2
Collect the terms in 2*z + 93 - 16 - 14 - 63.
2*z
Collect the terms in 27*u**2 - 174*u**2 - 223*u**2.
-370*u**2
Collect the terms in 2*r**3 - 2139*r + 2139*r.
2*r**3
Collect the terms in 21042*i - 13*i**3 - 21042*i.
-13*i**3
Collect the terms in -262*z + 522*z - 261*z.
-z
Collect the terms in 1128 - 1128 + 6*z**2.
6*z**2
Collect the terms in 35729*s**2 + 12*s**3 - 35729*s**2.
12*s**3
Collect the terms in 48*w + 47*w + 56*w - 205*w + 52*w.
-2*w
Collect the terms in -7 + 2 - 3*g + 3*g**3 + 5.
3*g**3 - 3*g
Collect the terms in -249*x + x**2 + 249*x - 6*x**2.
-5*x**2
Collect the terms in 6*w**3 + 87*w - 87*w.
6*w**3
Collect the terms in -3*v**2 + 8*v**2 - 18*v**2.
-13*v**2
Collect the terms in 0*a**2 + 7807*a**3 - a**2 + 1513*a**3.
9320*a**3 - a**2
Collect the terms in -12*g**3 + g**3 - 4*g**3.
-15*g**3
Collect the terms in 9*z + 6 - 25*z + 11*z.
-5*z + 6
Collect the terms in -2079 + 2079 - 81*k.
-81*k
Collect the terms in -3547 + 1776 + c + 1771.
c
Collect the terms in -11*o - 18*o**3 - 5*o**3 + 11*o.
-23*o**3
Collect the terms in -92*s**3 + 52*s**3 + 46*s**3.
6*s**3
Collect the terms in 1265 - 629 + 0*h**3 - 636 + h**3.
h**3
Collect the terms in 415*o**2 - 209*o**2 - 204*o**2.
2*o**2
Collect the terms in 6 - 6 + 164*i - 160*i.
4*i
Collect the terms in -14*t**2 - 24*t**2 + 0*t**2.
-38*t**2
Collect the terms in 133*c**2 + c**2 - 133*c**2.
c**2
Collect the terms in 0 + 15*z + 0 - 33*z + 17*z.
-z
Collect the terms in 20*n**2 + 29*n**2 + 0*n**2 - 6*n.
49*n**2 - 6*n
Collect the terms in 6*b + 2*b - 18*b + 6*b.
-4*b
Collect the terms in 142 + 7*q**3 - 142.
7*q**3
Collect the terms in 7 - 5*k**2 - 7 - 8*k**2.
-13*k**2
Collect the terms in -6*l**3 + 2 + 3 - 10*l**3.
-16*l**3 + 5
Collect the terms in -2*v**2 - 13*v**2 + 14*v**2.
-v**2
Collect the terms in -1 + 424*n**2 - 882*n**2 + 433*n**2 + 1.
-25*n**2
Collect the terms in -1084 + 1084 - 3*h.
-3*h
Collect the terms in 0*f**3 - 5*f**3 - 3*f**3 + 4*f**3 + 3*f**3.
-f**3
Collect the terms in 3 - 5*j**2 + 0*j**2 - 3.
-5*j**2
Collect the terms in 42 + r**2 - 3*r**2 + 37 - 79.
-2*r**2
Collect the terms in -107*b + b**3 + 107*b.
b**3
Collect the terms in -2 - 395*j - 391*j + 772*j + 2.
-14*j
Collect the terms in -9*j**2 - 3*j**2 + 8*j - 8*j.
-12*j**2
Collect the terms in 3*h**2 + 162 - 162.
3*h**2
Collect the terms in -32538*h + 32538*h - 7*h**2.
-7*h**2
Collect the terms in -10*v - v + 18*v - 6*v.
v
Collect the terms in 558 - 558 + 3*z**3.
3*z**3
Collect the terms in -219 + 219 - 8*s**3.
-8*s**3
Collect the terms in 65*i - 4*i + 0*i**3 + 3*i**3 + 170*i.
3*i**3 + 231*i
Collect the terms in 10*f + 6*f + 3*f + f - 22*f.
-2*f
Collect the terms in 18*l**2 + 38 + 7*l**2 - 38.
25*l**2
Collect the terms in -8*v**2 - v + 2*v**2 + 11*v**2.
5*v**2 - v
Collect the terms in -7*x + 4*x + 38163 - 38163.
-3*x
Collect the terms in 5*q**2 + q**2 + 0*q**2 + 2*q**2.
8*q**2
Collect the terms in 26 - 26 - 4*p**3.
-4*p**3
Collect the terms in -49*k + 112*k - 59*k.
4*k
Collect the terms in 3*m + 75 - 4*m - 3*m.
-4*m + 75
Collect the terms in 26 - 38*g**3 - 16 - 10.
-38*g**3
Collect the terms in 4*u**3 - 7*u**3 + 6*u**3 + 8*u**3.
11*u**3
Collect the terms in -2*f**2 - 2*f**2 - 4*f**2.
-8*f**2
Collect the terms in 116 + 114*v - 116 - 29*v.
85*v
Collect the terms in -25*b**3 - 9 - 11*b**3 + 11*b**3.
-25*b**3 - 9
Collect the terms in 25 - 25 + 25*s**2.
25*s**2
Collect the terms in 0*l**2 - l**2 + 13*l**2 - 8*l**2.
4*l**2
Collect the terms in -1722 + 1722 - 6*c**2.
-6*c**2
Collect the terms in 2*c**2 - 16*c**2 - 12*c**2 - 15*c**2.
-41*c**2
Collect the terms in 0*b**2 - 3*b**2 + 0*b**2 - 5*b**2.
-8*b**2
Collect the terms in -11*t + 0*t**2 - 16*t + 27*t + 2*t**2.
2*t**2
Collect the terms in 8*q**2 + 4*q**2 - q**2.
11*q**2
Collect the terms in -w**2 + 4317 - 4317.
-w**2
Collect the terms in 5*k**2 + 2*k - 2*k - k**2 + k**2.
5*k**2
Collect the terms in -3*g**2 - 41*g + 41*g.
-3*g**2
Collect the terms in 6*c**3 - c**3 + 0*c**3 + 7*c**3.
12*c**3
Collect the terms in -x + 110 + 4 + 44 - x.
-2*x + 158
Collect the terms in 86*s**2 - 168*s**2 + 82*s**2 - 16*s**3.
-16*s**3
Collect the terms in 21*i**2 + 14 - 14 - 20*i**2.
i**2
Collect the terms in -155*l**2 + 155*l**2 + 17*l**3 + 4*l**3.
21*l**3
Collect the terms in 3*q**3 + 7807*q**2 - 7807*q**2.
3*q**3
Collect the terms in 24*p**2 + 3*p**2 + 374*p**2.
401*p**2
Collect the terms in -9*a**2 + 3930*a + 3927*a - 7857*a.
-9*a**2
Collect the terms in -3 - 13*q**3 - 3 + 6.
-13*q**3
Collect the terms in -g**3 + 76*g + 100*g - 176*g - 2*g**3.
-3*g**3
Collect the terms in -50 - 4*t**3 - 42 + 2*t**3.
-2*t**3 - 92
Collect the terms in -121*q**3 + 0 + 0.
-121*q**3
Collect the terms in -6 - 4*c**2 + 0*c**2 + 6.
-4*c**2
Collect the terms in -5*m + 458 - 458.
-5*m
Collect the terms in -29*d - 41085 + 41085.
-29*d
Collect the terms in 15 + 2*x - 2*x - 2*x**2.
-2*x**2 + 15
Collect the terms in -17*c - 5*c - 5*c + 30*c.
3*c
Collect the terms in 84*d - d**2 + 14 - 84*d - 2*d**2.
-3*d**2 + 14
Collect the terms in 16*d - 56063 + 56063.
16*d
Collect the terms in -3*m + 132 + 132 - 264.
-3*m
Collect the terms in 19*c - 35*c + 13*c.
-3*c
Collect the terms in -9*h + 4*h - 12366*h**2 + 12363*h**2 + 5*h.
-3*h**2
Collect the terms in -374*t**2 + 2*t - 2*t.
-374*t**2
Collect the terms in -2*i + 5*i + 0*i + 6*i - 8*i.
i
Collect the terms in 3*l**2 + l**2 - 2*l**2 + l**2.
3*l**2
Collect the terms in 59 - 2*m**2 + m**2 - 59.
-m**2
Collect the terms in 98*k + 123*k - 198*k.
23*k
Collect the terms in 6*z**3 - 32*z - 20*z - 5*z**3.
z**3 - 52*z
Collect the terms in -y + 6*y - 9*y + 3*y.
-y
Collect the terms in 11*u**3 + 8*u**3 - 20*u**3.
-u**3
Collect the terms in -21*b**2 + 8*b**2 - 12*b**2.
-25*b**2
Collect the terms in -52*v + 0 + 54*v + 0.
2*v
Collect the terms in 0 + 0 + 53*z**2.
53*z**2
Collect the terms in -4 - j + 15 - 11 + 3*j.
2*j
Collect the terms in 15*h - 8*h - 4*h.
3*h
Collect the terms in -38*r - 7*r**3 + 38*r + 2*r**3.
-5*r**3
Collect the terms in 20 - 3*k - 5 - 15.
-3*k
Collect the terms in 17*a**2 + 13*a**2 + 16*a**2 - 47*a**2.
-a**2
Collect the terms in -13*n - n + 60*n.
46*n
Collect the terms in 5*g**3 - 3*g**3 + 3*g - 3*g.
2*g**3
Collect the terms in 16*f**2 + 11*f**2 + 0*f**2.
27*f**2
Collect the terms in -23*p**2 - 127*p + 127*p.
-23*p**2
Collect the terms in 0*q - q + 12*q**2 + 3*q + 288*q**2.
300*q**2 + 2*q
Collect the terms in 1614*k**2 - 3222*k**2 + 1610*k**2.
2*k**2
Collect the terms in 102*t - t + 79*t + 133*t.
313*t
Collect the terms in -5*k - 14*k - k + 17*k.
-3*k
Collect the terms in -20 + 10 - 31*r**2 + 10.
-31*r**2
Collect the terms in -15*x**3 + 31*x**3 - 20*x**3.
-4*x**3
Collect the terms in 53*j - 18*j - 24*j.
11*j
Collect the terms in -i**3 - 88*i**3 - i**2 + i**2.
-89*i**3
Collect the terms in -27*o**2 + 54*o**2 - 29*o**2.
-2*o**2
Collect the terms in 2*b + 8*b + 5*b - 16*b.
-b
Collect the terms in 286*g - 288*g - 2 - 27.
-2*g - 29
Collect the terms in -21 + 12*b + 21.
12*b
Collect the terms in -12*o**3 - 17*o**3 + 30*o**3.
o**3
Collect the terms in 2*k**2 + 15835 - 15835.
2*k**2
Collect the terms in 17*c**2 - 30*c**2 - 2*c**2.
-15*c**2
Collect the terms in 988 - 503 - 2*t**2 - 485.
-2*t**2
Collect the terms in 8 - 140*m**2 + 15*m**2 - 8.
-125*m**2
Collect the terms in 89 + 7*l + 99 - 188.
7*l
Collect the terms in -2*c**2 + 10*c**2 - 3*c**2.
5*c**2
Collect the terms in 21899 - 21899 + i.
i
Collect the terms in -6*v - 7*v - 3*v - 19*v.
-35*v
Collect the terms in 196 + 6*k - 196 + k**2.
k**2 + 6*k
Collect the terms in 27*q**2 + 6*q**2 - 11*q**2 + 23*q**2.
45*q**2
Collect the terms in 66*m + 49 - 13 - 16 - 22.
66*m - 2
Collect the terms in -50*b + 67*b - 139*b.
-122*b
Collect the terms in -2 - 388*t**2 + 50*t**2 + 2.
-338*t**2
Collect the terms in 396*b + 28*b - 1 + 1.
424*b
Collect the terms in -28 + 28 + 2*l + 0*l.
2*l
Collect the terms in -12*x**2 + 12*x**2 + x**3 + 66*x.
x**3 + 66*x
Collect the terms in -9 + 9 + 7*o**2 + 0.
7*o**2
Collect the terms in 6803 - 6803 - 8*s**3.
-8*s**3
Collect the terms in -11 - 14 + 25 + 2*t.
2*t
Collect the terms in 3*s - 3*s + 174*s**3 - 175*s**3.
-s**3
Collect the terms in -10 + 138*n - 10 + 20.
138*n
Collect the terms in 9 - h + 5 + 4*h.
3*h + 14
Collect the terms in -14 + 7 - 4*a + 7.
-4*a
Col
|
{
"pile_set_name": "DM Mathematics"
}
|
= -52 - g. What is the units digit of f?
2
Let y(b) = -6*b**3 - 2*b**2 - 9*b - 5. Let k be y(-1). Suppose 5*j - 2780 = -5*r, 4*j = k*r - 7*r - 551. What is the hundreds digit of r?
5
Suppose -3*l = -2*l + 5*f - 25, 2*l + 4*f = 26. Suppose 30*q - 15085 = -l*q. What is the hundreds digit of q?
4
Suppose 2*t = t + 1. Let l be t/2*-8 - 3. Let p = l + 17. What is the tens digit of p?
1
Suppose -22 = -5*x + 3*g, -2*x + g + 60 = 51. Let u = 7 + 381. Suppose -x*w = 20, 2*m + 3*w = 2*w + u. What is the units digit of m?
6
Let i be ((-83)/(-9))/1 + 8/(-36). Suppose k + 0*k + 12 = -5*v, i = 4*k + v. Suppose 0 = s - a - k*a - 89, -4*a = -2*s + 166. What is the units digit of s?
7
Suppose 78*b + 173160 = 102*b. What is the thousands digit of b?
7
Suppose 764*p - 2*i - 13076 = 760*p, 0 = -p + 2*i + 3263. What is the hundreds digit of p?
2
Let j = -116 - -113. Let l be 150 - (j/(-3) - -4). Suppose -141*h + l*h - 336 = 0. What is the units digit of h?
4
Let s = 142 - -1406. Suppose 5*m - 16*v - 3857 = -12*v, -2*m + s = v. What is the hundreds digit of m?
7
Let w(g) = -20*g + 35. Let i be w(-7). Suppose -1679 - i = -9*p. What is the hundreds digit of p?
2
Suppose -66*w + 2682 = -64*w. Suppose -w - 803 = -8*x. What is the units digit of x?
8
Suppose -16*n = -5*n + 1067. Let h = -110 - n. What is the tens digit of (92/(-5))/(h/65)?
9
Suppose -2*w - 490 + 11199 = -3*o, -w + 5335 = 5*o. What is the tens digit of w?
5
Let g(v) = -374*v + 2499. What is the units digit of g(-34)?
5
Suppose -44799 = -5*h + 2*b, 0 = 3*h + 2*b + 4029 - 30918. What is the units digit of h?
1
Suppose a - 15 = 4*i, -2*a - 6 = 4*i - 0*a. Let f be i/((2 + 240/(-116))/(-2)). Let o = f + 125. What is the units digit of o?
8
Suppose -24*q + 2137 = 5905. Let c be 2/((-6)/(-741) + 0). Let y = q + c. What is the tens digit of y?
9
Let t be 18/(-6) - 4 - -3. Let r(z) = z**2 + 6*z + 6. Let i(n) = -2*n**2 - 13*n - 13. Let q(a) = 4*i(a) + 7*r(a). What is the tens digit of q(t)?
1
Suppose 3*u = -2*u + 17750. Suppose -d + u = -0*d. Suppose 310 = -12*a + d. What is the tens digit of a?
7
What is the tens digit of 960/224*(1489 - (-1 + -1))?
9
Suppose -9859 = -2*c + 2*k + 9575, -5*k - 9693 = -c. What is the tens digit of c?
2
Let u(l) = -16*l + 7*l - 6644 + l**2 + 6666. Let n be (-15)/2*4/(-3). What is the tens digit of u(n)?
3
Suppose -5*s = -0*s - 5*u, -2*s = 3*u. Let g(k) = 80 + 74 + 39 - 28 + k. What is the units digit of g(s)?
5
What is the tens digit of (((-3)/(-21))/(34/2261))/(3/1422)?
0
Let j be 396/18 + (-4 - (0 + 0)). What is the hundreds digit of 36/j + (3 - 3) + 210?
2
Let k(f) = 3*f**2 + 2*f**2 - 4*f**2 + 5*f + 5 - 2. Let p be k(-1). Let z(l) = 20*l**2 + l. What is the units digit of z(p)?
9
Suppose -5*s = -2*b - 688, 3*b = -2*b + 5. Suppose -123 + s = a. What is the units digit of a?
5
Let i = 237 - 235. Suppose -8 = -i*w, 1851 = 3*f + 26*w - 29*w. What is the hundreds digit of f?
6
Suppose 4*d - d = -327. Let t = 8 - d. What is the tens digit of t?
1
Let a(q) = 61*q**2 - 4*q - 3. Let w be a(-2). Let c = w - -124. Suppose 2*o + 3*h - 250 = 0, 3*o + 8*h - c = 4*h. What is the hundreds digit of o?
1
Let y be 2/12 - 367257/(-198). Suppose -y = -5*q + 425. What is the units digit of q?
6
What is the thousands digit of 2/(-3) + (-249964)/(-114)?
2
Let z(c) = -41*c + 16. Let j(a) = 1. Let h(u) = -5*j(u) + z(u). Let d be h(-5). Suppose 0 = 3*y + v - d - 4, 4*v = y - 56. What is the tens digit of y?
7
Let f(y) = -2*y**2 - 38*y - 45. Let n be f(-19). What is the hundreds digit of (-257)/(-2) - (-4 + n/(-18))?
1
Let l = 0 + 9. Let k be 3 - (166/(-4) - l/(-6)). Suppose 4*u + 3*m - k = 0, -5*u + 31 + 19 = 5*m. What is the tens digit of u?
1
Let v(p) = p**2 - 3*p + 7971. Let b be v(0). Suppose 11*h - b = -1316. What is the units digit of h?
5
Let i be 1 + -2 - (-2 + -244). Let a be (-4)/(-3)*((-24)/18)/(80/(-135)). Suppose a*p = 3*f + 2*p - i, 2*f = p + 165. What is the units digit of f?
0
Let v(p) = p**3 - 9*p**2 + 12*p - 24. Let i be v(9). Suppose -4*z + 4*s = -i, 3*z - 42 = -0*s - 4*s. What is the tens digit of (80/10)/(3/z)?
4
Suppose 0 = -d + 55 - 52. Suppose 0 = -d*v + 149 + 103. What is the tens digit of v?
8
Let b(d) = -d**3 - d**2 + 5. Let t be b(0). Suppose 0 = t*y - 7*y + 4. Suppose y*o - o - 37 = 0. What is the tens digit of o?
3
What is the hundreds digit of 290/(-8)*(-14 + 6)?
2
Let c(i) = 11*i**2 + 19*i + 35. Let g(p) = -13*p**2 - 20*p - 35. Let d(h) = -6*c(h) - 5*g(h). Let u be d(-22). Let b = -121 - u. What is the tens digit of b?
9
Suppose -3*k + 3*b + b = -28, 3*k - b - 25 = 0. Suppose -k*z = -4*z - 32. What is the units digit of (-3)/(36/z) - 215/(-3)?
1
Let d be 136*(-3 + 5 + -6). Let z = 1106 + d. What is the hundreds digit of z?
5
Suppose -2*r - h + 13211 = -23904, -r - 5*h = -18562. What is the thousands digit of r?
8
Let x = -4497 + 9710. What is the tens digit of x?
1
Let p(l) = 177*l**2 - 2*l - 1. Let q = -77 + 70. Let s be 3 + (-4 - q) + -5. What is the tens digit of p(s)?
7
Suppose 15 = -4*l + 11. What is the hundreds digit of (18 + -17)/(l/(-632))?
6
Let w be ((-9)/(-15))/(12/7860). Let g = 2151 - w. What is the tens digit of g?
5
What is the hundreds digit of (45/6 + -6)/((-416894)/(-208444) + -2)?
1
What is the thousands digit of -12*5/(-40) + 305095/10?
0
Let h(m) = -m**3 + 12*m**2 + 17*m + 4. Let t(w) be the third derivative of -w**4/8 - 35*w**3/6 + 31*w**2. Let z be t(-16). What is the tens digit of h(z)?
5
Let a = 3 + 1. Suppose -12 = -a*m - 2*f + 8, 5*f + 34 = 4*m. Suppose -8*q = -m*q - 198. What is the tens digit of q?
9
Suppose -5*h - 133 = 1617. Let l = 500 + h. What is the tens digit of l?
5
Let q = 1342 + -554. Suppose -5*s - 223 = -q. Suppose 5*f - 252 = -4*y + s, 4*f = -5*y + 283. What is the tens digit of f?
7
Let z be (-14)/(-28)*1*10. Let w be 2 - -1 - (z - 4). Suppose 5 = 5*u, -5*c - 5*u + 33 = -w*u. What is the units digit of c?
6
Let b be (-21110)/55 + 2/(-11). Let u = b + -108. What is the tens digit of (3/2)/((-18)/u)?
4
Suppose -a - 154*m + 3 = -152*m, -5*m - 38 = -4*a. Suppose 3186 = -5*z + a*z. What is the hundreds digit of z?
5
Let o = -26 + 29. Suppose -p = -o*p + 26. Suppose -5*u - 1128 = -p*u. What is the hundreds digit of u?
1
Let n(t) = -3 + 0 - 25*t + 270*t + 17. Let m be n(2). Suppose 3*u - m - 72 = 0. What is the tens digit of u?
9
Let m = 39 + -26. Let k = 9 - m. Let z = k + 77. What is the units digit of z?
3
Suppose 1094663 = 199*h - 7573379. What is the thousands digit of h?
3
Let l be (3 - -1) + 2*5 - 1. What is the tens digit of (l/104)/(2/16)*688?
8
Let l(p) = 40*p**2 + 13*p - 191. What is the thousands digit of l(-12)?
5
Let x = 966 - -500. What is the hundreds digit of x?
4
Suppose 5*m = -4*b + 375, -4*m - 4*b - b + 291 = 0. Suppose 34 = 2*v + d, 2*v - 16 = 4*d - 2. Suppose m = 4*j + v. What is the units digit of j?
6
Suppose 5*u = 5*a, 4*a + 5*u - 25 = 4*u. Suppose -2*g + g + 342 = y, a*g - 1737 = 4*y. What is the units digit of g?
5
Let g be (0 + -1)/((-2)/10). Let r be 25 - 24 - (4 + -14). Suppose -g*n + 56 = r. What is the units digit of n?
9
Suppose 8*u - 6763 - 2751 = 5454. What is the thousands digit of u?
1
Suppose 0 = 2*a + 5*q - 297, 4*q + 434 = 4*a - 230. Let p be (4/(-1))/(2/44). Let v = p + a. What is the tens digit of v?
7
Let c = -51499 + 73341. What is the units digit of c?
2
Suppose 6*n - 9*n + w = -117, 5*n = 4*w + 202. What is the tens digit of (2 - 4)/(n/(-12673))?
6
Suppose 8*i + 2*v + 20 = 5*i, 2*v + 8 = 0. What is the units digit of ((-170)/i - 3)*6?
7
Let k = -939 - -635. Let n = k + 506. What is the hundreds digit of n?
2
Suppose 11*q = 19 + 36. Let k(r) = 25*r**2 + 15*r - 30. What is the tens digit of k(q)?
7
Let q be (11 - 17)/(2/1). Let v(i) be the third derivative of i**5/2 + i**4/24 + i**3/3 - 3*i**2. What is the hundreds digit of v(q)?
2
Suppose -8*g - 3 = 21. Let a be 2/g + 0 + 245/3. Let t = a - 50. What is the tens digit of t?
3
Let y be 48 + -52 + 2*570. Let f = y - 803. What is the units digit of f?
3
Let k be (-2576)/(-10) - 10/(-25). Let u be 1970/(-16) - (-5)/40. Let i = u + k. What is the units digit of i?
5
What is the tens digit of -17 + (-291)/(-17) - ((-70068)/51 - 1)?
7
Let m be 1*6/9 + 14/6. Suppose m*w = 2*c + 18, -c - 15 = w - 4*w. Suppose 4*v - v = 0, -n = -w*v - 22. What is the
|
{
"pile_set_name": "DM Mathematics"
}
|
0*g - 2*g).
-73*g**2 - 2*g
Expand 16*n**5 + 8*n**5 + 25*n**3 + n**4 - 22*n**5 + (-3*n**2 + n - n)*(-4*n**3 + n**3 + 5*n**3) + 0*n**5 + 0*n**5 - n**5.
-5*n**5 + n**4 + 25*n**3
Expand (-40*l**2 + 32 - 32)*((2*l**2 - 5*l**2 + 5*l**2)*(-1 + 2 + 0) + 3*l**2 - 2*l**2 + 2*l**2 - 2*l + l**2 + l**2 + 0*l**2) - 4 + 4 - 2*l**4.
-282*l**4 + 80*l**3
Expand (-2 - 2 + 1)*(-4 + 2 + 4)*(-11*q**3 + 19 - 41 + 21).
66*q**3 + 6
Expand -x**4 - 2*x**5 + 0*x**5 + 5*x**5 + (-1 - 1 + 1)*(16*x**5 + 12*x**4 - 12*x**4).
-13*x**5 - x**4
Expand (258*s**2 + 52*s**2 + 1116*s**2)*(-s**2 + 6*s**2 - 3*s**2).
2852*s**4
Expand (-4*w + 18*w + 0*w)*(335*w**2 + 2 + 2*w - 163*w**2 - 168*w**2).
56*w**3 + 28*w**2 + 28*w
Expand (-4*b - 2*b + 5*b)*(-2 - 2 + 2) + 161*b + 5*b - 12*b.
156*b
Expand (-n**2 + n**2 + n**2)*(-3*n**3 + 0*n + 0*n) + (22 - 6 + 2)*(-2*n**4 + 2*n**4 + n**5).
15*n**5
Expand (n - n + n)*(-2*n**4 + 4*n**4 + 0*n**4) + (6*n**5 - 4*n**5 + 4*n**5)*(1 - 3 + 1 + (0 + 0 - 3)*(-15 - 2 + 5) + 2 + 3 - 3).
224*n**5
Expand (47*v + 12*v + 16*v)*(2 - 6 + 5 + 4*v**3).
300*v**4 + 75*v
Expand -1228*g**5 + 2462*g**5 - 4*g - 1230*g**5 - 2*g**2 + (-1 + 1 + 2)*(3 - 3 + 2*g**5).
8*g**5 - 2*g**2 - 4*g
Expand (14*w + 6 + 9*w - 17*w)*(-2*w**2 - 3*w**2 + 4*w**2)*(-3*w + 2*w + 0*w).
6*w**4 + 6*w**3
Expand 19*b**3 + 16*b**3 - b**3 + (-4 + 1 + 5)*(3*b**3 + b**3 - 6*b**3) + b**3 - 2*b + 2*b.
31*b**3
Expand (4 - 4 + 2*d**3)*(4 - 4 - 3)*(-4*d**2 - d**2 + 7*d**2 + (3*d + d - 6*d)*(-3*d - 2*d + d) - 6*d**2 + 0*d**2 + 2*d**2) - d**5 + 4*d**5 - d**5.
-34*d**5
Expand (-2 + j + 2)*(-1 + 1 + 2) + 5*j - 4*j + 0*j - 232*j + 11 + 113*j + 115*j.
-j + 11
Expand 0 + 0 - 2*n + (3 - 2 + 0)*(-35*n + 60*n - 26*n - 21)*(2 + 6 - 6).
-4*n - 42
Expand (6*y**4 - y**4 - 3*y**4 + (2*y**3 - 3 + 3)*(-y + 3*y - 4*y))*(-y + 1 - 1 + (26*y - 14 + 14)*(1 - 4 + 1)).
106*y**5
Expand (n + 5*n - n)*(0*n + n - 3*n) - n**2 - n**2 - n**2 + (0 - 2*n + 0)*(-3*n + 2*n + 3*n) + 4*n**2 + 3*n**2 - 4*n**2 - 5*n - n**2 + 5*n.
-15*n**2
Expand ((-2 + 2 + r)*(3 - 5 + 3) - 2*r + 6*r + 1 - 3*r)*(12 + 12 - 3).
42*r + 21
Expand (1102*a - 1107*a - a**2 + 2*a**2 - 446)*(2*a + 0*a - a).
a**3 - 5*a**2 - 446*a
Expand (6 - 1 + 1)*(0*b + 3*b - b + (b - 3 + 3)*(2 - 5 - 3)).
-24*b
Expand (160 - 282 + 139)*(2 - 2 + b)*(-5*b + b + 3*b)*(2*b**3 - 2*b**3 - 3*b**3).
51*b**5
Expand (-37*o + 64*o + 40*o)*(3 + 5*o**3 - 3).
335*o**4
Expand -z**2 + z**2 + 2*z**4 + (4*z**3 - 3*z**3 + 0*z**3)*(0*z + 0*z - z) + 4*z - 7*z**4 + 217 - 217.
-6*z**4 + 4*z
Expand 8755 - 8755 - 182*o + (1 - 4 + 4)*(3 - 3 + o) - 3 + 2*o + 3.
-179*o
Expand ((-9 - 1 + 27)*(2 + 1 - 1) - 3 + 2 + 0)*(p**2 - p**2 - 2*p**4).
-66*p**4
Expand 6242 - 6242 + 118*v**3 + (3*v**3 + 0*v**3 + 0*v**3)*(2 - 3 + 2).
121*v**3
Expand (0*q**4 + q**3 - 2*q**4 + q**3)*(-2 + 0 + 0)*(-20 - 7 - 17)*(-4 - 3 + 5).
352*q**4 - 352*q**3
Expand (0 + 0 + 2)*(99 - 99 - 44*p) - 12*p + 11 - 11.
-100*p
Expand (-15*t - 22*t + 11*t)*(-8*t + 2*t + 8*t).
-52*t**2
Expand n**4 - n**4 - n**5 + (-n + n - n**5)*(0 + 1 + 1) + 114*n**5 - 10*n**5 + 152*n**5.
253*n**5
Expand (-4*u**4 - 15*u**4 + 4*u**4)*(-84 + 84 + 3*u) + 2*u**5 - u**5 + u**5 + (4*u**4 - u**4 - 5*u**4)*(-6*u + 3*u + 5*u).
-47*u**5
Expand (2*p - 2*p + 2*p**2)*(3 + 3 - 5) + 8*p**2 - 755 - 747 + 1495.
10*p**2 - 7
Expand (0 - 5 + 2)*(-k**4 + 5*k**4 - 3*k**4) - 2*k**4 - k**4 + 2*k**4 - k**4 + 3*k**4 - 6*k**4.
-8*k**4
Expand ((2*g - g + 0*g)*(-7 + 2 + 3) + 2*g - 3*g - 5*g - 3*g + 4*g + 0*g)*(0*g - 2*g - 2*g).
28*g**2
Expand (3 - 4*o - 5 + 0)*(2 - 2 - 12*o).
48*o**2 + 24*o
Expand (-y**2 + 3*y**2 - y**4 - 3*y**2)*(0 + 1 - 2)*(-1 - 6 + 0)*(2 - 1 + 1).
-14*y**4 - 14*y**2
Expand (-73 + 86 - 77)*(n + 2*n - 2*n).
-64*n
Expand (0 - 2 + 4)*(3671 - 3671 + 259*s).
518*s
Expand 2*m - 4*m - 2*m - 2*m + 0*m + m + (0*m - 3*m + 2*m)*(5 - 4 + 1) + m + 3*m - 3*m + (-5 + 5 - m)*(-1 + 4 - 2) - 3 + 3 - 2*m + 2*m - m + m.
-7*m
Expand (18 + 2*x**2 - 120*x**2 - 18)*(-5*x**2 + 2*x**2 + 4*x**2).
-118*x**4
Expand (-3 + 6 - 5)*(-7*y + 4*y - 3*y)*(-5 + 4 - 1)*(2 - 7 + 3).
48*y
Expand 11*x + 2 - 6 - 7*x + (-x + 5 - 5)*(3 - 1 + 0) - 2*x + 3*x - 4*x.
-x - 4
Expand -127*g**2 - 5*g**2 - 3*g**2 + (0*g - 6*g + 3*g)*(0 - 2*g + 0).
-129*g**2
Expand (b + 3*b - 3*b)*(-5*b + 2 - 2) - 6*b**2 + 6*b**2 - b**2 + 3*b**2 + 5*b**2 - 6*b**2 + (-2*b - 4 + 4)*(-1 + 2*b + 1).
-8*b**2
Expand (-27190*r**2 + 27190*r**2 + 103*r**4)*(4 - 6 - 3 + (-5 + 3 + 0)*(3 - 4 + 3)).
-927*r**4
Expand 9 + 6*m**4 - 9 + 2*m**4 + 0*m**4 + 2*m**4 + (-9*m**2 + 41*m**2 - 15*m**2)*(-2*m**2 + 0*m**2 + m**2).
-7*m**4
Expand (-1 + 2 + 0)*(-8*i**2 + 0*i + 6*i + 13*i**2).
5*i**2 + 6*i
Expand (-13*m**2 - 12*m**2 + 26*m**2)*(-104*m + 104*m + 9*m**2).
9*m**4
Expand (160 + 156 - 310)*(-49*p + 8*p + 13*p).
-168*p
Expand i**2 + 3*i + 20*i + 0*i**3 - 4*i**3 + (-4*i**2 + 3*i**2 + 2*i**2)*(-5*i + 4*i + 2*i).
-3*i**3 + i**2 + 23*i
Expand -17*i**3 - 30*i**3 + 0*i**3 + (0*i + 2*i + i)*(-4*i**2 - 4*i**2 + 6*i**2) + i**3 - 3*i**2 + 3*i**2.
-52*i**3
Expand 0*j - 2*j - 8*j + (j - 4*j - j)*(3 + 0 - 4).
-6*j
Expand (-5*r + 0*r + 3*r)*(-r**2 - 4*r**2 + 4*r**2) + (-2 + 12 - 2)*(r**3 + 3*r**3 - 2*r**3).
18*r**3
Expand (6*b**4 - 6*b**4 + 7*b**4)*(-2 + 1 + 2) + 3*b**4 + 2*b - 2*b.
10*b**4
Expand (-14*t - 9*t + t)*(2*t**3 - 8*t**3 - 5*t**3).
242*t**4
Expand (-i**2 - 2*i**2 - i**2)*(-327 + 610 - 399)*((1 - 1 - i)*(1 + 1 + 0) - i - 1 + 1 + 0*i + 3*i + i).
464*i**3
Expand (2 - 1 + 1 - 2*o)*(220*o + 178 - 80 - 97).
-440*o**2 + 438*o + 2
Expand ((-5 + 3 + 4)*(-2 - 2 + 2) - 3 - 3 + 7)*(4 + 2*l - 4)*(-2 + 2 - 1)*(l - 25*l - 30*l).
-324*l**2
Expand (428*f - 163*f**2 - 428*f)*(-4*f + f + 0*f + (1 - 4 + 1)*(4*f - 5*f + 3*f) - f + 0*f + 3*f + 0*f + 5*f - 4*f).
652*f**3
Expand (-3*n**4 + 2*n**4 + 5*n**4)*(2 - 2 - 3)*(-4 + 0 + 3)*(-6*n + 9*n + 10*n).
156*n**5
Expand p - p + p**3 + (-2*p + 3*p - 2*p)*(-2*p**2 + 0*p + 0*p) + 22*p**3 - 8 + 8.
25*p**3
Expand (c - 2 + 2 + (-c - 2*c + 4*c)*(-2 + 0 + 4) - c - 2*c + 2*c - 32*c + 22*c - 30*c)*(-2 - 3 + 4).
38*c
Expand -1287 - 145*t**5 + 1287 + (3 + 2*t**3 - 3)*(-4 + 2*t**2 + 4).
-141*t**5
Expand -x**4 + 0*x**4 + 2*x**4 - 3*x**4 + 4*x**4 - 3*x**4 + (29*x + 14*x + 7*x)*(-x**3 + x**2 - x**2) + (-2*x**2 + x**4 + 2*x**2)*(-1 + 1 + 2).
-49*x**4
Expand ((2 - 2 + 2)*(-5 + 5 + 1) + 3 + 0 - 5 + 59 + 46 - 26)*(2*s**4 - 4*s**4 - 3*s**4).
-395*s**4
Expand (0*x**2 - x**2 + 11*x**2)*(-20*x**2 + x - 17*x**2 + 35*x**2).
-20*x**4 + 10*x**3
Expand (0 + 17 + 11)*(-8*j - 6*j - 2*j).
-448*j
Expand 3*t**3 - 3*t**2 + 3*t**2 + 2 - 2*t**3 - 2 + t**3 + 0*t**3 - 5*t**3 + 5*t**3 - t**3 - 5*t**3 + (1 + 0 - 3)*(0*t**3 - 3*t**3 + 2*t**3).
-2*t**3
Expand (-4*o**2 - o**2 + 2*o**2)*(-5 - 1 + 4)*(0 - 3 + 1)*(-9 - 2 + 4).
84*o**2
Expand (-3*r - 5*r + 5*r)*(4 - 3 - 3 + (-5 + 20 + 1)*(-1 - 1 + 4)).
-90*r
Expand (-4 - 2 + 5)*(w**2 - 1 + 1) + 2*w**2 - w**2 + 2*w**2 + 15 + 18 - 33 + 50*w**2.
52*w**2
Expand (-1 + 5 + 4)*(15 - 3*x - 12 - 3).
-24*x
Expand 3*m**2 + 2*m**2 - 3*m**2 + (-2 + 2 - 1)*(-2*m**2 + m**2 + 0*m**2) - 165*m + 165*m + 60*m**2 + (2*m - 5*m + 4*m)*(5*m - 4*m + m).
65*m**2
Expand (-2*c + 4*c - c)*(-18*c + 23*c - 16*c)*(-c**2 - 2 - 2 + 3*c**2).
-22*c**4 + 44*c**2
Expand (-2*j + 3*j + 2*j**4 - j**4)*(-3024 - 18*j + 3024).
-18*j**5 - 18*j**2
Expand (3*v**2 - 7*v**2 + 3*v**2)*(-92 - 35 + 35).
92*v**2
Expand (-r**4 - r + r)*(-73 - 3*r + 45 + 50).
3*r**5 - 22*r**4
Expand 199*c**5 - 11842 - c**3 + 11842 + (-2*c**4 + 0*c**3 + 0*c**3)*(-2*c + 0*c + c).
201*c**5 - c**3
Expand (-20*m + 9 + 9 + 16*m)*(4*m**2 - 3*m**2 - 2*m**2).
4*m**3 - 18*m**2
Expand (-4 - 1 + 20)*(-4*u + 6*u + u)*(1 - 4 - 2).
-225*u
Expand (-11*u**3 + 699*u - 355*u - 349*u)*(u - 5*u + u).
33*u**4 + 15*u**2
Expand (5 + 0 + 0)*(37 - 55 - 50)*(-3*a + 4*a - 3*a)*(3 - 2*a - 3).
-1360*a**2
Expand (221 - 32 + 3)*(1 - 1 - x)*(-2*x**2 + 2*x**2 - x**2).
192*x**3
Expand (0*d**2 + 2*d**2 + 0*d**2)*(-3*d + 0 + 0) - 5*d**3 + 3*d**3 + d**3 + (-d + 0*d + 2*d)*(-1 - d + 1)*(2 - 2 - 10*d).
3*d**3
Expand -5*f**4 + 2*f**4 + f**4 - f**4 - f**4 + f**4 + (f - 2*f + 0*f)*(-2*f**3 + 3*f**3 + 0*f**3) + 158*f**4 - 5183*f + 5183*f.
154*f**4
Expand (1 + 3 - 2 + (0 + 2 + 0)*(7 - 1 - 4) - 5 - 13 - 11)*(0 - 2*z**2 + 0).
46*z**2
Expand -2*k + 2*k - 2*k**5 + ((-4*k**3 - 2*k**5 + 4*k**3)*(2 - 4 + 0) + 5*k**2 + 5*k**5 - 5*k**2)*(1 + 2 - 5).
-20*k**5
Expand (-1 + 0 -
|
{
"pile_set_name": "DM Mathematics"
}
|
o) = -g(o) - 6*u(o). Factor i(w).
3*(w - 14)*(w - 6)
Let q = 175 - 177. Let c(w) = -8*w**2 + 6*w - 2. Let g(v) = -11*v**2 + 7*v - 3. Let j(f) = q*g(f) + 3*c(f). Factor j(z).
-2*z*(z - 2)
Determine f, given that 27/5*f**3 + 87/5*f**2 - 108/5*f - 12/5*f**4 - 156/5 = 0.
-2, -1, 2, 13/4
Suppose 4*k = -3967 + 3975, -k - 1 = -t. Let c(d) be the first derivative of -35/3*d**t + 5/4*d**4 + 15 + 80*d + 20*d**2. Factor c(h).
5*(h - 4)**2*(h + 1)
Let t(a) be the first derivative of a**6/2 + 48*a**5/5 + 207*a**4/4 + 90*a**3 + 6806. Factor t(l).
3*l**2*(l + 3)**2*(l + 10)
Let b(u) = -2*u**2 - 168*u + 176. Let c(v) = v**2 + 168*v - 174. Let j(n) = 5*b(n) + 6*c(n). Factor j(h).
-4*(h - 41)*(h - 1)
Factor 228099131 - 367225*z + 3*z**3 - 212322*z + 27*z**3 + 1833*z**2 - 31*z**3 - 540416*z.
-(z - 611)**3
Let n(m) be the first derivative of m**6/280 - m**5/14 - 11*m**4/56 + 89*m**2 + 85. Let l(u) be the second derivative of n(u). Determine g so that l(g) = 0.
-1, 0, 11
Let k = 9596/3 - 3187. Let s(d) be the first derivative of -45/4*d**4 - 5*d**2 - 5/6*d**6 + 0*d + 5*d**5 + 16 + k*d**3. Factor s(b).
-5*b*(b - 2)*(b - 1)**3
Let f(l) be the first derivative of -3*l**5/70 - 5*l**4/42 + 26*l**3/21 - 8*l**2/7 - 136*l + 14. Let j(t) be the first derivative of f(t). Factor j(o).
-2*(o - 2)*(o + 4)*(3*o - 1)/7
Let f be (((-2700)/(-40))/15)/30. Let q(h) be the first derivative of 0*h - 30 + 1/30*h**3 - f*h**2. Find b, given that q(b) = 0.
0, 3
Let x(m) be the third derivative of -m**6/180 - 17*m**5/30 + 35*m**4/12 + 2*m**3/3 + 36*m**2. Let r(j) be the first derivative of x(j). Solve r(c) = 0 for c.
-35, 1
Let r(t) be the third derivative of t**6/480 - 17*t**5/120 + 271*t**4/96 + 51*t**3/4 - 1845*t**2. Factor r(w).
(w - 18)*(w - 17)*(w + 1)/4
Let g be (-2)/(-6)*(-1)/(-3). Let z(u) be the first derivative of 1/3*u + g*u**3 - 10 + 1/3*u**2. Factor z(k).
(k + 1)**2/3
Suppose 3*t + h + h = 14, 3*h - 12 = 0. Suppose 3*j + q + t = 0, -j - 2*q + 5*q = -6. Find s such that 0*s**2 + j + 0*s + 4/11*s**5 + 2/11*s**3 + 6/11*s**4 = 0.
-1, -1/2, 0
Let b be -3 - 0 - 152/(-40). Let v = 16925 + -16923. Factor b*n**3 + 0*n + 3/5*n**v + 1/5*n**4 + 0.
n**2*(n + 1)*(n + 3)/5
Let j(y) = -3*y**2 + 2724*y - 618376. Let x(g) = g**2 - 908*g + 206124. Let h(l) = -2*j(l) - 7*x(l). What is v in h(v) = 0?
454
Factor -9*o**5 + 83/3*o**4 - 2/3*o + 11*o**2 + 0 - 29*o**3.
-o*(o - 1)**3*(27*o - 2)/3
Let h(y) be the first derivative of -y**4/28 + 6*y**2/7 - 16*y/7 + 216. Suppose h(n) = 0. Calculate n.
-4, 2
Let n(l) = -7*l + 4*l + 4*l. Let g(i) = 32*i**5 - 240*i**4 + 386*i**3 + 240*i**2 + 50*i. Let w(f) = -2*g(f) + 36*n(f). Determine p, given that w(p) = 0.
-1/4, 0, 4
Let w be 116/(-87)*((-38)/2 - (-2)/14). Suppose 4/7*t**2 + w*t + 1936/7 = 0. Calculate t.
-22
Determine c, given that -40*c**2 + 640/3 - 50/3*c**3 + 160/3*c - 5/3*c**4 = 0.
-4, 2
Let a(f) be the first derivative of -f**5/30 + 5*f**4/2 - 53*f**3/18 - 59*f**2/2 - 8810. Find s such that a(s) = 0.
-2, 0, 3, 59
Factor -18*q + 59 - 18*q - 8*q - 25 + 4*q**2 + 6.
4*(q - 10)*(q - 1)
Let r(b) be the second derivative of b**4/30 + 26*b**3/5 - 79*b**2/5 - 172*b. Suppose r(g) = 0. Calculate g.
-79, 1
Factor 5271616/5 + 2/5*z**5 + 2308/5*z**4 + 796256*z**2 + 672752/5*z**3 + 7925792/5*z.
2*(z + 2)**3*(z + 574)**2/5
Let s(m) be the first derivative of m**5/30 + m**4/6 - m**3/9 - m**2 - 73*m + 33. Let f(z) be the first derivative of s(z). Factor f(r).
2*(r - 1)*(r + 1)*(r + 3)/3
Let q(t) = 16*t**3 - 172*t**2 - 32*t + 4. Let j(m) = -17*m**3 + 173*m**2 + 33*m - 3. Let b(u) = 4*j(u) + 3*q(u). Find s, given that b(s) = 0.
-1/5, 0, 9
Let k(w) = 11*w - 7. Let x be k(1). Suppose y = x*y. Factor 3 + y - 4 + g**2 + 7*g - 7.
(g - 1)*(g + 8)
Let p(q) = -q. Let f(m) = m**2 + 5*m + 12. Let n(z) = -f(z) + 6*p(z). Let i be n(-9). Factor -6 - 2*s**2 - i + 12.
-2*s**2
Factor 45*p**2 - 220*p - 5/3*p**3 - 1900/3.
-5*(p - 19)*(p - 10)*(p + 2)/3
Let a(j) be the third derivative of -4/3*j**3 + 0*j**7 + 10*j + 0 - 2/15*j**6 + 2/15*j**5 + 1/2*j**4 - j**2 + 1/84*j**8. Suppose a(v) = 0. Calculate v.
-2, -1, 1
Let -109*i**3 - 12*i**2 + i**4 + i + 64 + 105*i**3 + 20*i + 11*i = 0. What is i?
-2, 4
What is b in -77/3*b + 3*b**2 - 12 = 0?
-4/9, 9
Suppose 2*x = 3*y - 9, 2*x - 7*y + 19 = -2*y. Suppose -5*a**x + 206*a**2 + 2*a**3 - 10404*a + 117912 + 100*a**2 = 0. Calculate a.
34
Factor -9/2*b**2 + 309/4 - 1851/4*b.
-3*(b + 103)*(6*b - 1)/4
Suppose c = 5*y + 90, 1049*y = -4*c + 1052*y + 54. Find r, given that 4*r + c + 1/4*r**4 + 7/2*r**3 - 31/4*r**2 = 0.
-16, 0, 1
Suppose 105*a**3 - 10*a + 1484879 + 125*a**4 - 1484879 + 45*a**5 + 15*a**2 = 0. What is a?
-1, 0, 2/9
Let w(y) = -y**3 + 31*y**2 - 41*y + 333. Let t be w(30). Factor -5/3*v - 2 - 1/3*v**4 + 7/3*v**2 + 5/3*v**t.
-(v - 6)*(v - 1)*(v + 1)**2/3
Let o(s) be the second derivative of 3*s**5/140 + 97*s**4/28 - s**3/14 - 291*s**2/14 - 2*s - 167. Find g such that o(g) = 0.
-97, -1, 1
Let h(g) = g**2 + 11*g**2 - 120 + 93*g - 18*g**2. Let k(y) = y**2 - 18*y + 24. Let f(j) = -4*h(j) - 21*k(j). Factor f(p).
3*(p - 2)*(p + 4)
Let d(j) be the second derivative of 5*j**7/42 + j**6/2 - j**5/4 - 5*j**4/4 - 5*j + 165. Factor d(f).
5*f**2*(f - 1)*(f + 1)*(f + 3)
Let f(t) = -t - 2. Let x be f(-9). Determine n, given that -2*n**2 + x*n**3 - 5*n**3 - n**3 - 3*n = 0.
-1, 0, 3
Let s(n) be the third derivative of -3645/2*n**4 - 1/24*n**6 + 27/2*n**5 + 131220*n**3 + 0 - 109*n**2 - 2*n. Factor s(l).
-5*(l - 54)**3
Let r = -10 - -15. What is i in i**2 - 13*i - 10*i + 24*i - r*i = 0?
0, 4
Factor 1/3*b**2 + 19200 + 160*b.
(b + 240)**2/3
Let h(c) be the second derivative of 41/2*c**3 + 2 + 30*c**2 - 15*c - 3/20*c**5 - 1/10*c**6 + 21/4*c**4. Find w, given that h(w) = 0.
-4, -1, 5
Let l(c) be the first derivative of 20 + 4/9*c**3 + 124/9*c + 188/9*c**2. Factor l(a).
4*(a + 31)*(3*a + 1)/9
Let z(k) be the first derivative of 2/3*k**2 + 2/5*k**5 + 1/18*k**6 + 4/3*k**3 + 0*k + 13/12*k**4 - 47. Let z(m) = 0. What is m?
-2, -1, 0
Suppose -2*n**2 - 1875*n + 0*n**2 + 50 + 32768938*n**3 - 32768863*n**3 = 0. Calculate n.
-5, 2/75, 5
Let t(u) be the first derivative of -129 + 108/11*u**3 - 1344/11*u**2 - 5/22*u**4 + 1024/11*u. Find k such that t(k) = 0.
2/5, 16
Factor 68/7*l**2 - 3/7*l**3 + 50/7 + 173/7*l.
-(l - 25)*(l + 2)*(3*l + 1)/7
Suppose 5*n - s = -12, 24*n = 23*n + 3*s - 8. Let h be ((-48)/(-64))/((-75)/(-24) + n). Let -10/3*a + h*a**2 + 8/3 = 0. Calculate a.
1, 4
Let i(o) be the second derivative of 5/6*o**3 + 1/48*o**4 + 0 + 25/2*o**2 - 35*o. Factor i(k).
(k + 10)**2/4
Let d be ((8 - 5) + -3)/2. Let u(f) be the third derivative of -10*f**2 + d + 2/25*f**5 - 2/15*f**4 + 0*f + 0*f**3 + 1/525*f**7 - 1/50*f**6. Factor u(t).
2*t*(t - 2)**3/5
Let u(r) = r**3 - r**2 + 2*r. Let w be -4 - 3/((-12)/8). Let v(h) = -7*h**3 + 2*h**2 + 16*h. Let o(z) = w*u(z) - v(z). Factor o(s).
5*s*(s - 2)*(s + 2)
Let i be (-1080)/(-504) + (-12)/(-336)*-4. Suppose 0*c**3 - 6/7*c**i + 3/7*c**4 + 0*c + 3/7 = 0. What is c?
-1, 1
Let g(n) = 19*n**2 + 4*n - 31. Let d be g(5). Solve 226*k**5 - d*k**5 - 20*k**2 + 75*k**4 - 60*k**3 + 218*k**5 = 0 for k.
-1/4, 0, 2
Let j(r) be the first derivative of r**6/39 + 6*r**5/5 - 41*r**4/13 + 4*r**3/39 + 81*r**2/13 - 82*r/13 + 1147. Let j(o) = 0. What is o?
-41, -1, 1
Let w(f) = -f**2 - 40*f - 40. Let r be w(-19). Let k = 359 - r. Find h, given that 0*h**4 + k + 4/15*h**2 - 2/5*h**3 + 2/15*h**5 + 0*h = 0.
-2, 0, 1
Let s(q) = -2*q + 10. Let v be s(11). Let i be (-4 - 0) + 8*(-9)/v. Factor 1/3*r**i + 1/3*r + 0.
r*(r + 1)/3
Let t(h) be the first derivative of -9/4*h**4 - 13/8*h**2 + 1/4*h + 108 + 4*h**3. What is w in t(w) = 0?
1/6, 1
Determine h, given that 1/3*h**2 + 334668 + 668*h = 0.
-1002
Let h(u) be the first derivative of u**5 + 15*u**4/4 - 5*u**3 - 55*u**2/2 - 30*u - 298. Factor h(c).
5*(c - 2)*(c + 1)**2*(c + 3)
Suppose -7*c + 20 = 3*c. Factor -c*d**2 + 0*d**2 + 2 - 62 - 3*d**2 + 101*d - 61*d.
-5*(d - 6)*(d - 2)
Let h(u) be the third derivative of -5/8*u**4 + 0*u + 0 + 1/24*u**6 + 1/3*u**5 - 15*u**3 - 23*u**2. Find i such that h(i) = 0.
-3, 2
Find p such that -569 - 75 - 178*p - 84 + p**2 = 0.
-4, 182
Let s be (21/399)/(12/76). Let x(a) be the second derivative of 0 - 18*a - 3/2*a**2 + 1/90*a**6 + 1/10*a**5 + 2/9*a**4 - s*a**3. Factor x(u).
(u - 1)*(u +
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{
"pile_set_name": "DM Mathematics"
}
|
Let i(d) = 70*d + 3. Calculate the remainder when i(1) is divided by 19.
16
Suppose 0 = 2*m - 1 - 5. Suppose 0 = 2*z + z. Suppose z = 5*o - s - 37, -4*o + 3*o + 3*s = 1. What is the remainder when o is divided by m?
2
Let w = 33 + -18. Let i = w - 9. What is the remainder when i is divided by 4?
2
Let v(w) = 6*w + 1. Let p(d) = d**2 + 2. Let o(f) = -1. Let u(t) = 3*o(t) + p(t). What is the remainder when v(1) is divided by u(2)?
1
Suppose -5*f + 8*g + 65 = 6*g, -4*g = 2*f - 50. Calculate the remainder when 50 is divided by f.
5
Suppose 2*k = -2*k + 20. What is the remainder when 26 is divided by k?
1
Suppose 0 = -4*j - 4*a + 40, -a = a + 6. Calculate the remainder when 37 is divided by j.
11
Suppose 20 = -5*i, -5*w - 29 = -10*w + i. Let v(l) = -l**3 - 3*l**2 + 8*l + 4. Calculate the remainder when v(-5) is divided by w.
4
Let a(s) = -s**2 - 6*s + 3. Let d be a(-6). Suppose p - 45 = -3*n, -d*n = 3*p - 7*p - 45. What is the remainder when n is divided by 9?
6
What is the remainder when ((-10)/3)/(22/(-1188)) is divided by 14?
12
Let k(o) = 2*o**2 - o + 1. Calculate the remainder when k(2) is divided by (6/(-5 - -3))/(-1).
1
Suppose 0 = -4*d + 12. Suppose -4*t - 6 + 32 = o, 68 = d*o + 2*t. Calculate the remainder when o is divided by 12.
10
Suppose 0 = 2*z - 21 + 3. Calculate the remainder when 33 is divided by z.
6
Let w = 13 - 10. Suppose 0 = -8*d + w*d + 60. Calculate the remainder when 45 is divided by d.
9
Calculate the remainder when (-129)/(-2)*9/((-135)/(-10)) is divided by 15.
13
What is the remainder when 28 is divided by (-3 + 1)*((-27)/6 - 3)?
13
Suppose 4*u + u = 15. Suppose 13 = u*f - 8. Suppose -5*j - 56 = 4*o - f*o, o = -2*j + 15. Calculate the remainder when o is divided by 6.
5
Let f(j) = -j**2 + 8*j - 5. Let u = 28 - 10. What is the remainder when u is divided by f(5)?
8
Suppose -4 = -3*n + j, -n + 5*n = 4*j. Let y(w) = w**2 + 6*w + n*w**2 - 2*w + 3 - 2. Calculate the remainder when y(-4) is divided by 17.
16
Let d be (-5)/(2/(2/(-1))). Suppose -5*b = d*o - 15, 3*b + 15 = -o + 4*o. What is the remainder when o is divided by 2?
0
Let u = 240 - 226. Let s = -7 - -5. Calculate the remainder when 110/4 - s/(-4) is divided by u.
13
What is the remainder when -3 + (8 + 1 - -3) is divided by 5?
4
Suppose -u = -5*u + 36. Let m(f) = 7*f - 10. Let y be m(u). Suppose 2*j - 2*b = 30, 0 = 3*j - 0*j + b - y. Calculate the remainder when 50 is divided by j.
16
Suppose 6*n - 2*n - 80 = 0. What is the remainder when 36 is divided by n?
16
Let t(r) be the second derivative of 5*r**3/6 - r. Calculate the remainder when -2 + 2 + 0 + 28 is divided by t(2).
8
Let q(t) = 2*t**2 + 3*t + 2. Let c be q(-2). Let a be (-1)/(((-8)/6)/c). Suppose 25 = -2*n + a*n. What is the remainder when n is divided by 13?
12
Let o = -49 - -93. Suppose 0 = -5*j + f + 67, -7*f + o = 4*j - 3*f. What is the remainder when j is divided by 7?
6
Let j be 2/(3*8/1500). Suppose b = -5*z + 17, -6 = 2*z + 5*b + 1. Suppose z*f = -f + j. Calculate the remainder when f is divided by 14.
11
Let v(o) = 11*o - 1. Suppose -3 = 2*z - i, -z + 18 + 8 = 5*i. Let y(w) = 15*w - 2. What is the remainder when y(2) is divided by v(z)?
8
Let y = 0 - -4. What is the remainder when (-12)/72 + 134/12 is divided by y?
3
Let a(m) = m**3 - 3*m**2 + m - 3. Suppose -5*t = 4*k - 32, -t - 3*k + 25 = 3*t. What is the remainder when a(t) is divided by 9?
8
Suppose 0 = -3*q + q + 10, q - 33 = 4*n. Let d = n - 3. Calculate the remainder when (15/d)/((-2)/24) is divided by 10.
8
Suppose 44 = 12*n - 4. Calculate the remainder when n is divided by 2 + (-2 - -4)/2.
1
Let r = -68 - -97. Let g be (-12 + 1)*(0 + -1). What is the remainder when r is divided by -1 + g + (9 - 9)?
9
Suppose q = 7 + 3. What is the remainder when q is divided by 3?
1
Let v(g) = g**2 + 7*g + 4. Let d be v(-7). Suppose 2*r + 22 = d*r. Let f(m) = -6*m - 4. Calculate the remainder when f(-6) is divided by r.
10
What is the remainder when (3 + (-20)/8)/((-3)/(-444)) is divided by 7?
4
Calculate the remainder when 47 is divided by 65/4 - 8/32.
15
Suppose 0 = -8*f + 10*f - 10. Calculate the remainder when 15 is divided by f.
0
Suppose -6 = -0*h + h. Let s be 24/(-10)*135/h. Suppose -5*v + 4*t = t - s, -42 = -3*v - 3*t. Calculate the remainder when v is divided by 7.
5
Let n = -74 + 35. Let b = 55 + n. What is the remainder when b is divided by 6?
4
Suppose 0 = -19*f + 28*f - 81. Calculate the remainder when 13 is divided by f.
4
Let o be 69/6 + 3/(-6). Let p be (12/(-15))/((-2)/50). Let r = p - o. Calculate the remainder when 16 is divided by r.
7
Suppose 0*c + b = -2*c + 6, 0 = 2*b. Suppose -5*a = 3*v - 0*v - 17, 3*v - 15 = -c*a. What is the remainder when 9 is divided by v?
1
Let r be (0 - 3/6)*-4. Suppose 5*g - r = 18. What is the remainder when g is divided by 2?
0
Suppose 2*t = -0*t + 32. Suppose -4*a - 12 = -7*a. Calculate the remainder when t/(-72) + (-119)/(-9) is divided by a.
1
Let k = 1 + -5. What is the remainder when 13 is divided by 6/k + 68/8?
6
What is the remainder when 89 is divided by 46*(2/(-3))/((-28)/21)?
20
Let x = 84 - 31. Calculate the remainder when x is divided by (10 + 196/(-21))/((-2)/(-81)).
26
Let j(d) = 47*d + 2. Let x(s) = -17*s. What is the remainder when j(1) is divided by x(-1)?
15
Calculate the remainder when 45 is divided by (-261)/(-12) + (-1)/(-4) - -1.
22
Suppose 5*f - 26 = -11. What is the remainder when 25 is divided by f?
1
Let p(h) = 3*h**2 - 8*h + 5. Calculate the remainder when p(5) is divided by 21.
19
Let t(r) = -5*r + 10. Let c = -4 + 52. What is the remainder when c is divided by t(-3)?
23
Let s be 5*(-7)/((-7)/4). Suppose s = -3*p + 7*p. What is the remainder when 3*4 + 0 + 2 is divided by p?
4
Calculate the remainder when (1*197)/(((-7)/7)/(-1)) is divided by 40.
37
Suppose -10 = -t + 27. Calculate the remainder when 71 is divided by t.
34
Suppose 2*a + 1 = 3. What is the remainder when 47 is divided by 10 - a - (-7 - -4)?
11
Let u be (-2)/(-4) + 60/24. Suppose -2*m - u*g + 17 = -35, -5*m = 3*g - 139. What is the remainder when m is divided by 15?
14
Let g = 21 + -19. What is the remainder when 11 is divided by g?
1
Let u(h) = -7*h + 1. Let a be u(-5). Suppose -2*y - 2*y + 3*m = -112, 5*y - m = 140. Suppose y + a = 4*w. What is the remainder when 29 is divided by w?
13
Let p be (-40)/(-6)*(-6)/4. Let b = 8 + p. Let c = b + 19. What is the remainder when c is divided by 10?
7
Suppose 34 = 2*p - 2*j, 3*j - 11 = 1. What is the remainder when p is divided by 8?
5
Suppose 4*i + 5*y - 177 = 0, 3*y = -1 + 4. Let v(c) = 9*c - 3. What is the remainder when i is divided by v(2)?
13
Suppose h - 5*h + 36 = 0. Calculate the remainder when 35 is divided by h.
8
Let d(m) be the first derivative of m**2 - 13*m + 3. Calculate the remainder when 12 is divided by d(10).
5
Suppose 7*b - 44 = 5*b. Let d = -8 + b. What is the remainder when 55 is divided by d?
13
Calculate the remainder when (-24)/(-16) + (-634)/(-4) is divided by 42.
34
Suppose 0 = -0*d + d. Suppose d = -f + 5*f + 4*u - 68, -5*u + 59 = 3*f. Suppose 5*w - f = 22. What is the remainder when 19 is divided by w?
5
Let a = -5 + 8. Let f(j) = 1 - 3*j + 6*j - 2. What is the remainder when a is divided by f(1)?
1
Let k = 14 + -2. Calculate the remainder when k is divided by 5.
2
What is the remainder when 85 is divided by ((-2)/3)/((-9)/567) - -1?
42
Let f be (-15)/20 - (-6)/8. Calculate the remainder when (f - -3)*7 - -2 is divided by 8.
7
Let c = 82 + -64. What is the remainder when 87 is divided by c?
15
Suppose -w + 2 = -7. Suppose -4*l + w = -l. What is the remainder when 9 is divided by l?
0
Let t(z) = z**3 + 7*z**2 + 6*z. Let g(w) = 4*w**2 - 3*w + 9. What is the remainder when g(5) is divided by t(-4)?
22
Let x(r) = r**3 + 5*r**2 + r + 3. Let y be x(-5). Let t be ((-4)/6)/(y/9). Let l = t - -11. Calculate the remainder when l is divided by 8.
6
Let s be (2 - (2 - 1))*2. Suppose 3*r - 10 = -s*r. Suppose 0 = y + r - 16. Calculate the remainder when y is divided by 8.
6
Let g = 96 + -37. Calculate the remainder when g is divided by 21.
17
Suppose 2*w - 8 = -0*w. Suppose 3*s - 7*s + 3*n + 28 = 0, w*s = n + 20. Calculate the remainder when (46/(-3))/(s/(-12)) is divided by 16.
14
Suppose -2*s - 1 - 1 = 0. Calculate the remainder when 119 is divided
|
{
"pile_set_name": "DM Mathematics"
}
|
(a) -4.4 (b) -0.2 (c) -11679
b
Which is the fourth biggest value? (a) 5 (b) 2 (c) 7.167 (d) -2/11
d
Which is the second biggest value? (a) -1967 (b) 0.6 (c) 5/2 (d) -0.1 (e) 1/13
b
What is the third smallest value in -1, 5, 43, -30, 3?
3
Which is the third smallest value? (a) -5 (b) -2/17 (c) 0.16 (d) 0.22 (e) -1/10
e
What is the smallest value in 2/3, -1, 0.008, -0.4?
-1
Which is the smallest value? (a) -12 (b) 40.62 (c) -0.2
a
Which is the second smallest value? (a) 0.4 (b) 47 (c) 0 (d) -0.07 (e) 4/5
c
Which is the fifth biggest value? (a) 0.2 (b) 2 (c) -7 (d) 4 (e) -1/110
c
What is the smallest value in -4, 2/101, -0.3, -1/4, 1?
-4
What is the second biggest value in 1550, -0.4, -9, 2?
2
Which is the biggest value? (a) -0.021 (b) -8 (c) 3
c
What is the fifth biggest value in -21, -1, -2/7, -9, 28?
-21
Which is the third biggest value? (a) -17/11 (b) 1/225 (c) -1/2
a
What is the third biggest value in -96045, 1/5, -3?
-96045
What is the biggest value in -22, 9, 62?
62
Which is the fourth smallest value? (a) 3 (b) -0.1 (c) 11/3 (d) 0 (e) -0.06 (f) -0.3
d
Which is the second smallest value? (a) 628 (b) 0.3 (c) -30/13
b
What is the second biggest value in 2/9, 0.17, -1, -9/53, -2/3?
0.17
Which is the third biggest value? (a) 201.22 (b) 4 (c) -2 (d) 1.7
d
What is the third smallest value in -1/7, -1/4, 811?
811
What is the smallest value in 5, -1/4, 2/3257?
-1/4
Which is the biggest value? (a) 0.09 (b) -5 (c) -4/7 (d) 2.56
d
Which is the sixth smallest value? (a) 24 (b) -0.1 (c) -4/9 (d) 0.7 (e) -0.5 (f) 165
f
What is the sixth smallest value in -0.1, -0.12, -1, 0.5, 30, -4?
30
What is the fourth biggest value in -0.88, 0.4, -3/5, -0.027, -4?
-0.88
What is the second smallest value in 0.08, 0.09, -1/62?
0.08
Which is the sixth smallest value? (a) -0.01 (b) 0.2 (c) -4/5 (d) 4 (e) -13 (f) 6
f
Which is the second smallest value? (a) 5 (b) -372.21 (c) -4
c
Which is the smallest value? (a) -0.6 (b) -0.4 (c) 1778
a
What is the smallest value in 3, 80/697, -0.5, -1?
-1
Which is the second smallest value? (a) -391 (b) -1258 (c) 2
a
Which is the second biggest value? (a) 0 (b) 5 (c) -1/2 (d) -12 (e) 3 (f) -0.2
e
What is the third smallest value in -2/7, 1/5, 1/4, -5/2, 2/279?
2/279
What is the second biggest value in -0.1, 15/4, -4/25?
-0.1
Which is the second biggest value? (a) 189 (b) -1/4 (c) 3/16
c
What is the biggest value in -1/3, 3.16, -12, -1, 0.5?
3.16
Which is the third biggest value? (a) -2/3 (b) -4002/5 (c) -1.6 (d) -2 (e) 5
c
Which is the third biggest value? (a) 4 (b) 414/43 (c) -5 (d) 3/2 (e) -0.02
d
Which is the biggest value? (a) 0.2 (b) 9.7 (c) -3 (d) -1 (e) -0.02
b
Which is the second biggest value? (a) -2 (b) 105096 (c) 2/3 (d) -5
c
Which is the smallest value? (a) -56 (b) -1 (c) -14.62
a
Which is the second biggest value? (a) 46 (b) -4 (c) 6/5 (d) -6/7
c
Which is the third smallest value? (a) 0.4 (b) 6/265 (c) -1/7 (d) -3 (e) 2
b
What is the fourth smallest value in -1/3, -14, -2, -1/2, 5, 1600?
-1/3
Which is the second biggest value? (a) 2/3 (b) -0.5 (c) -2/9 (d) 349 (e) -0.1
a
Which is the smallest value? (a) 5 (b) -0.3 (c) 0.4 (d) 0 (e) 172 (f) -3
f
Which is the second biggest value? (a) 10 (b) -0.2 (c) -0.172
c
Which is the second smallest value? (a) 1 (b) -0.07 (c) 0.5 (d) -4 (e) 2/55
b
Which is the smallest value? (a) 3/2 (b) -114 (c) 3
b
Which is the fourth biggest value? (a) -5 (b) -3 (c) -1 (d) 0.4 (e) -14372 (f) -0.3
b
Which is the second biggest value? (a) -0.3 (b) 0.3 (c) 3/73 (d) -2/9 (e) -2/63
c
What is the second smallest value in 1682, 10, 1?
10
What is the fifth smallest value in -20/7, 2/3, -2/13, -0.99, -2?
2/3
Which is the second biggest value? (a) 2/19 (b) -2/7 (c) -4 (d) 0.001
d
What is the third biggest value in 0.5, 1.7, -5/2, 0, -0.2?
0
What is the third biggest value in -5, 0.2, -4940, 1?
-5
What is the fourth biggest value in -5, -0.4, -1/9, 0.5, -4/21, 5?
-4/21
Which is the second smallest value? (a) -5/11 (b) 1 (c) -103 (d) -31
d
Which is the third smallest value? (a) -2/41 (b) -23221 (c) -1/3
a
What is the third biggest value in 13, -3, -5, -251?
-5
Which is the second smallest value? (a) -0.1 (b) -0.3 (c) -3 (d) 9 (e) -17/2
c
Which is the third biggest value? (a) -2/25 (b) 5 (c) -0.1002
c
What is the third smallest value in 1.995, 0.2, -2/21, -5?
0.2
Which is the fourth biggest value? (a) -1/3 (b) 1.85889 (c) 0 (d) -1/2
d
Which is the fourth biggest value? (a) 0.3 (b) 0.1 (c) 12785 (d) 3
b
Which is the second biggest value? (a) -2 (b) 11/21 (c) -0.3 (d) 0.03 (e) 3/4
b
What is the third smallest value in -18/13, 3, 2/21, -1970, 0.2?
2/21
Which is the fourth biggest value? (a) -5 (b) -0.2 (c) 33 (d) 593 (e) 2
b
What is the fourth smallest value in 0.5, 0.23, -22, 1/5?
0.5
What is the second smallest value in 2/11, 3948, 4, 5, -0.2, 1?
2/11
Which is the fourth smallest value? (a) -4 (b) 1/18 (c) 46 (d) 9 (e) 1
d
Which is the fourth biggest value? (a) 0 (b) 3/2 (c) 0.6882 (d) -13
d
Which is the second smallest value? (a) 4 (b) 2/1111 (c) -0.0462
b
What is the fifth biggest value in -0.5, 3/5, 6, 1510, 32?
-0.5
What is the third biggest value in 152, 5, 0.2, 2/5?
2/5
What is the fourth smallest value in 0, 1, 106/25, -0.5?
106/25
What is the third smallest value in 2, -7/3, -5, 4, -1, 0.07?
-1
Which is the third smallest value? (a) 2/15 (b) -70 (c) -0.1 (d) 3 (e) 1/2 (f) -0.4
c
What is the second smallest value in -0.01, 0, -1/2, -43?
-1/2
Which is the third biggest value? (a) -21.1 (b) 1.1 (c) -2 (d) 2 (e) -1
e
What is the biggest value in 0.6, -1, -7.91?
0.6
What is the third smallest value in -2/185, 1/5, 4, 1?
1
What is the third biggest value in 0.3, -4/5, -5.42, -4, 3?
-4/5
Which is the second smallest value? (a) -0.07 (b) 956 (c) -5
a
What is the second smallest value in -5, -296/29, -0.6?
-5
What is the third biggest value in 0.1, 0.04, -9/125?
-9/125
What is the third biggest value in -5, 1262, -2/5?
-5
What is the third smallest value in -190, -4, 4796?
4796
Which is the fifth smallest value? (a) 1/6 (b) 22 (c) -0.3 (d) -9 (e) -11
b
Which is the third smallest value? (a) 1.5 (b) 1 (c) -2/7 (d) 1.4
d
What is the third smallest value in -5, 8427, 0.2, 3?
3
What is the second smallest value in -1/5, 5, -0.09818, -4?
-1/5
What is the third smallest value in -7/3, -8, 2, -30, -2/5?
-7/3
Which is the third smallest value? (a) -5 (b) -0.1 (c) 22 (d) -41 (e) -0.5
e
Which is the third smallest value? (a) 3 (b) -1/2 (c) -3742 (d) 1/3 (e) -0.4
e
What is the biggest value in 0.05, -2/17, 1, -2/13?
1
Which is the second biggest value? (a) 0.23 (b) 11.68 (c) -0.1 (d) -2/15
a
What is the second smallest value in -1/21, 0.4, 0.2, 36?
0.2
What is the fourth smallest value in -2/17, -2/39, 5/4, -4?
5/4
Which is the third biggest value? (a) -1210 (b) -5 (c) 7
a
What is the biggest value in 2/11, 0.5, 3/2, -3/7, 2/3?
3/2
Which is the fourth biggest value? (a) -0.5 (b) -2/7 (c) 0.01 (d) -1 (e) 1 (f) 3087
b
Which is the fourth biggest value? (a) 1477.15 (b) 2 (c) -3 (d) -1/2
c
Which is the third biggest value? (a) 2/3 (b) -13 (c) 9 (d) 0.3 (e) -1 (f) 68
a
Which is the second biggest value? (a) -2/5 (b) 5 (c) 0.4 (d) -1 (e) 929
b
What is the biggest value in 1, 4, 0.05, 1/5, -69.8?
4
Which is the third smallest value? (a) -8 (b) 2 (c) 16 (d) 23
c
Which is the sixth smallest value? (a) -4/5 (b) -2/7 (c) -2 (d) 7 (e) 199 (f) -0.12
e
What is the second smallest value in -0.07, -0.1, -0.5, 2/79, 3/7, 3?
-0.1
What is the biggest value in 1/6, 7, -2/7, -131, 0.2?
7
What is the third smallest value in 2/117, 18, -0.13?
18
What is the second biggest value in 1, -1.3, -2, 7, -36?
1
What is the biggest value in 3/28, -201.5, -5/6?
3/28
What is the third smallest value in -2/17, 0, -3, -0.17?
-2/17
Which is the second smallest value? (a) -6 (b) 5/8 (c) 9
b
Which is the biggest value? (a) -1/13 (b) 4 (c) 10
c
Which is the third biggest value? (a) 0.1 (b) -0.02 (c) -3 (d) -5 (e) 8/119
b
Which is the fourth smallest value? (a) -0.2 (b) -2 (c) 5 (d) -4/
|
{
"pile_set_name": "DM Mathematics"
}
|
of sequence avt when three letters picked without replacement from rrvtfatvbvvfvbvbbfrb?
1/570
Four letters picked without replacement from kakwbwakwkwkwkkk. What is prob of sequence wbww?
1/728
Three letters picked without replacement from rgrffggfrgfgg. What is prob of sequence rrr?
1/286
Calculate prob of sequence aaay when four letters picked without replacement from ayayaaaaayyyaaaaay.
11/102
Two letters picked without replacement from {e: 2, h: 4, x: 1}. What is prob of sequence ee?
1/21
What is prob of sequence qpss when four letters picked without replacement from {s: 2, a: 9, p: 3, q: 5}?
5/15504
What is prob of sequence uqqq when four letters picked without replacement from {u: 1, y: 8, q: 10}?
5/646
Two letters picked without replacement from {x: 4, n: 4, e: 11}. Give prob of sequence en.
22/171
Three letters picked without replacement from apeveeeiaveaeeeppv. What is prob of sequence evv?
1/102
Three letters picked without replacement from {s: 5, y: 7, r: 1}. What is prob of sequence sry?
35/1716
Two letters picked without replacement from ccrhnikincnn. Give prob of sequence hc.
1/44
Calculate prob of sequence nnf when three letters picked without replacement from {n: 2, f: 1}.
1/3
Three letters picked without replacement from krjlrkrrrkgkak. What is prob of sequence jar?
5/2184
Four letters picked without replacement from xdkd. What is prob of sequence xdkx?
0
Calculate prob of sequence pup when three letters picked without replacement from jpfjpfpjjnju.
1/220
Two letters picked without replacement from rrrrrrrrr. Give prob of sequence rr.
1
Two letters picked without replacement from kkvvvvvk. What is prob of sequence kk?
3/28
Two letters picked without replacement from {h: 2, x: 8}. Give prob of sequence hh.
1/45
Calculate prob of sequence rrdd when four letters picked without replacement from drdddddrdrdddr.
45/1001
Three letters picked without replacement from yhshyhyshyzhzsyhh. Give prob of sequence hhh.
7/136
Calculate prob of sequence prrp when four letters picked without replacement from pppprprppp.
1/45
Calculate prob of sequence tx when two letters picked without replacement from {j: 1, g: 2, t: 2, i: 1, x: 1, v: 2}.
1/36
Three letters picked without replacement from {j: 4, i: 3, z: 1}. What is prob of sequence zji?
1/28
Two letters picked without replacement from {z: 9, k: 9}. Give prob of sequence zz.
4/17
Calculate prob of sequence ccdd when four letters picked without replacement from dcccdcscccscc.
6/715
Two letters picked without replacement from sgssssssssss. Give prob of sequence gs.
1/12
Calculate prob of sequence xb when two letters picked without replacement from {j: 1, t: 6, x: 2, b: 3}.
1/22
What is prob of sequence pf when two letters picked without replacement from {p: 4, w: 3, x: 1, f: 5, r: 1}?
10/91
What is prob of sequence io when two letters picked without replacement from kkmimokmpmp?
1/110
What is prob of sequence kwkc when four letters picked without replacement from {k: 2, i: 2, c: 1, w: 5, e: 6}?
1/4368
Four letters picked without replacement from kkkkkk. What is prob of sequence kkkk?
1
Calculate prob of sequence dq when two letters picked without replacement from {d: 1, s: 6, q: 5, z: 4}.
1/48
What is prob of sequence hhbh when four letters picked without replacement from hhbzhbhbhhbhbb?
15/286
Calculate prob of sequence bbb when three letters picked without replacement from wbwwwbwwbwwwwbwwww.
1/204
Calculate prob of sequence dhwl when four letters picked without replacement from wmmhhmhldwhmlh.
5/6006
Four letters picked without replacement from ugukguususgs. Give prob of sequence gssk.
1/660
Calculate prob of sequence ggn when three letters picked without replacement from {b: 1, n: 2, f: 1, g: 3, m: 5}.
1/110
Calculate prob of sequence qqyy when four letters picked without replacement from bbyzbzbqyzzzq.
1/4290
Three letters picked without replacement from bcnc. What is prob of sequence bnc?
1/12
Two letters picked without replacement from {i: 3, o: 3, u: 1, f: 2, v: 1, e: 1}. Give prob of sequence vo.
3/110
Three letters picked without replacement from {g: 4, f: 1, i: 5, h: 5, x: 5}. What is prob of sequence ghh?
2/171
Two letters picked without replacement from hhhzhzhzzzzz. What is prob of sequence zz?
7/22
Calculate prob of sequence weq when three letters picked without replacement from ffwewwfffwfqwffwwfw.
4/2907
What is prob of sequence fffu when four letters picked without replacement from uuufuuuuuuuu?
0
What is prob of sequence nnn when three letters picked without replacement from nkunn?
1/10
What is prob of sequence wd when two letters picked without replacement from {d: 1, w: 11}?
1/12
What is prob of sequence qsi when three letters picked without replacement from qsqii?
1/15
Three letters picked without replacement from {u: 3, i: 4, a: 1, q: 2}. What is prob of sequence aqu?
1/120
Three letters picked without replacement from bbbbbhbbhhbb. What is prob of sequence bbb?
21/55
What is prob of sequence ia when two letters picked without replacement from {a: 12, i: 1}?
1/13
Two letters picked without replacement from lccccclc. Give prob of sequence lc.
3/14
Calculate prob of sequence qj when two letters picked without replacement from {w: 1, i: 1, h: 1, q: 4, j: 2, o: 3}.
2/33
Two letters picked without replacement from mmmmmmmmmmmdimmmide. Give prob of sequence im.
14/171
Calculate prob of sequence bo when two letters picked without replacement from fbohwxx.
1/42
Four letters picked without replacement from {x: 1, m: 9, c: 9}. What is prob of sequence mxmc?
9/1292
Four letters picked without replacement from qqqaqaaqqaqqaq. What is prob of sequence aaqa?
45/2002
Two letters picked without replacement from ojjjjjjj. Give prob of sequence jj.
3/4
Three letters picked without replacement from nwnwwwwkknnkwwk. What is prob of sequence wnk?
8/195
Four letters picked without replacement from ohhhhjooghzzhooghz. What is prob of sequence hhoj?
7/2448
Calculate prob of sequence zzc when three letters picked without replacement from rrrjrrrzjcjzrjr.
1/1365
Two letters picked without replacement from {q: 4, g: 6, a: 1, m: 3, n: 1}. What is prob of sequence mm?
1/35
Four letters picked without replacement from {y: 3, f: 3}. Give prob of sequence ffyf.
1/20
Two letters picked without replacement from ssaesssessqvavhssss. Give prob of sequence vq.
1/171
Four letters picked without replacement from {z: 4, o: 1, b: 3}. Give prob of sequence ozzb.
3/140
Two letters picked without replacement from hhqhrchqqqr. Give prob of sequence hq.
8/55
Calculate prob of sequence ex when two letters picked without replacement from {x: 7, e: 4}.
14/55
Four letters picked without replacement from {t: 2, n: 7}. What is prob of sequence nnnt?
5/36
Two letters picked without replacement from vvbmmlvubmvbmvm. Give prob of sequence mv.
5/42
Four letters picked without replacement from {w: 1, q: 1, c: 2, a: 6, d: 3, s: 2}. What is prob of sequence sccw?
1/8190
What is prob of sequence uf when two letters picked without replacement from uulufbfuuluxf?
3/26
Three letters picked without replacement from {z: 1, h: 1, k: 3}. Give prob of sequence khz.
1/20
Two letters picked without replacement from {u: 2, e: 6}. Give prob of sequence eu.
3/14
Two letters picked without replacement from fzzkyknt. What is prob of sequence zf?
1/28
Three letters picked without replacement from ggggggggghhgghgghhg. Give prob of sequence hgg.
455/2907
Four letters picked without replacement from {u: 2, i: 2, j: 1}. What is prob of sequence iiuj?
1/30
What is prob of sequence vkl when three letters picked without replacement from {l: 2, v: 3, r: 2, k: 4}?
4/165
Two letters picked without replacement from {a: 9, p: 2, m: 6, j: 1, w: 1}. What is prob of sequence mw?
1/57
Four letters picked without replacement from bkkbbmrbbbbgrrbkvv. Give prob of sequence vgbm.
1/4590
Calculate prob of sequence wwq when three letters picked without replacement from nwnwwwwwqxwnqwn.
8/195
Four letters picked without replacement from zyzzzyzzz. What is prob of sequence yzzz?
5/36
Three letters picked without replacement from rrrgyarraaygr. Give prob of sequence ray.
3/143
Two letters picked without replacement from {u: 2, s: 7, e: 3, z: 3}. What is prob of sequ
|
{
"pile_set_name": "DM Mathematics"
}
|
-4, -3
Suppose 21*y = 14*y + 175. Factor 36 + 10*d - 15*d - 9*d**2 - y*d - 18*d.
-3*(d + 6)*(3*d - 2)
Suppose 0 = 33*n - 32*n - 4. Let z be ((-576)/(-560))/(-6) - (-32)/56. Suppose -4/15*c - 16/15*c**3 + z*c**n + 0 + 14/15*c**2 = 0. Calculate c.
0, 2/3, 1
Let z(a) be the first derivative of a**7/70 - a**6/40 - a**5/5 + a**4/2 + a**2/2 + 4*a + 41. Let o(t) be the second derivative of z(t). Factor o(q).
3*q*(q - 2)*(q - 1)*(q + 2)
Factor 26*o + 18*o**2 + 15*o**2 + 5*o - 32 - 36*o**2 + 4*o**2.
(o - 1)*(o + 32)
Factor -304/11*r**2 - 2/11*r**3 - 1022*r + 2156.
-2*(r - 2)*(r + 77)**2/11
Let b(f) = 3*f**3 + 77*f**2 + 11*f. Let s(w) = 2*w**3 + 44*w**2 + 6*w. Let h(a) = -4*b(a) + 7*s(a). Factor h(v).
2*v*(v - 1)*(v + 1)
Factor 3258*p**4 - 356218 - 222*p**3 - 190*p**3 - 3256*p**4 - 300800 + 28152*p**2 - 628452*p.
2*(p - 69)**3*(p + 1)
Let t(q) be the first derivative of q**4/7 + 52*q**3/7 + 144*q**2 + 1232*q - 5028. Factor t(z).
4*(z + 11)*(z + 14)**2/7
Let w(a) = 40595*a - 608923. Let n be w(15). Suppose -784/3 - 1/3*x**n + 56/3*x = 0. What is x?
28
Let k be (-3)/((-207)/6) - (-2454)/1932. Let g(q) be the second derivative of 11/28*q**4 - 3/140*q**5 - k*q**3 + 27/14*q**2 + 0 + 10*q. Factor g(n).
-3*(n - 9)*(n - 1)**2/7
Suppose 83*m = 81*m + 6. Factor -1125 + 251*s**2 + 751*s + 5*s**m - 106*s**2 + 263*s - 39*s.
5*(s - 1)*(s + 15)**2
Let i(m) be the first derivative of 16*m**3/3 + 43*m**2/2 - 44*m - 151. Let d(f) = 22*f**2 + 65*f - 66. Let y(s) = -5*d(s) + 7*i(s). Factor y(r).
2*(r - 11)*(r - 1)
Let j(z) = -2*z**2 - 45*z - 230. Let b be j(-8). Let g(u) be the third derivative of 0*u**3 + 1/64*u**4 + 3*u**b + 1/20*u**5 + 1/20*u**6 + 0 + 0*u. Factor g(h).
3*h*(4*h + 1)**2/8
Let 17 + 89*s + 96 + 40 + 45*s - 21 + 2*s**2 = 0. Calculate s.
-66, -1
Let u(g) = g**2 - 22*g - 132. Let h(o) = o**2 + 23*o + 129. Let t be h(-6). Let j be u(t). Factor -3/7*c**4 + 0 - 9/7*c**j - 15/7*c + 27/7*c**2.
-3*c*(c - 1)**2*(c + 5)/7
Let x(v) be the second derivative of -v**5/150 - 2*v**4/5 - 48*v**3/5 - 91*v**2/2 + 6*v + 2. Let z(u) be the first derivative of x(u). What is d in z(d) = 0?
-12
Let a = -18 - -14. Let s = 9 + a. Factor -4*m**3 - s*m**3 - 6*m**2 + 6*m**3.
-3*m**2*(m + 2)
Let q(y) be the third derivative of y**5/10 - 137*y**4/3 - 61*y**3 + 888*y**2. Solve q(x) = 0 for x.
-1/3, 183
Let f(s) = 5*s - 5. Let n be f(4). Suppose 5 = 5*x - n. Factor 4*p + 0*p**4 - 13*p - x + 13*p + 7*p**2 - 10*p**3 + 3*p**4.
(p - 2)*(p - 1)**2*(3*p + 2)
Let z = -1243280 + 1243283. Suppose 86/21*k**z + 16/7*k**2 + 20/7*k**4 + 8/21*k + 0 + 2/3*k**5 = 0. What is k?
-2, -1, -2/7, 0
Suppose 70*x = -10945 + 11295. Let n(h) be the third derivative of -1/2*h**3 + 0*h + 0 - 1/70*h**7 + 1/10*h**x + 0*h**6 + h**2 + 0*h**4. Factor n(o).
-3*(o - 1)**2*(o + 1)**2
Let z(i) = -3*i - 27. Let m(q) = q**2 + 2*q - 2. Let h(y) = -y**2 - 2*y + 32. Let g(v) = -h(v) - 2*m(v). Let f(j) = 3*g(j) - 4*z(j). Factor f(r).
-3*(r - 4)*(r + 2)
Let s be (-3 + (-90)/(-14))*112/(-360)*-3. Factor 2/5*c**3 - s - 8/5*c + 4/5*c**2.
2*(c - 2)*(c + 2)**2/5
Let x(z) be the first derivative of 10*z**6/3 - 892*z**5/5 + 550*z**4 - 656*z**3/3 - 336*z**2 - 744. Determine t, given that x(t) = 0.
-2/5, 0, 1, 2, 42
Let w be (-1 + -727)/(3*(-4)/(-48)). Let d be (-23)/78 - 1344/w. Factor 1/6*s + 1/3 - 1/2*s**2 + d*s**4 - 1/6*s**3.
(s - 2)*(s - 1)*(s + 1)**2/6
Let x(a) = -8*a**2 - 3967*a - 1314727. Let p(g) = 15*g**2 + 7935*g + 2629455. Let i(c) = -5*p(c) - 9*x(c). What is n in i(n) = 0?
-662
Let v = 771 - 768. Let x(z) be the second derivative of 0 - 17*z - 1/6*z**4 + 0*z**v + z**2. Suppose x(y) = 0. What is y?
-1, 1
Suppose -11*q - 27*q = -836. Suppose 21*b + q - 64 = 0. Find r, given that -24/7*r + 24/7*r**b - 6/7*r**3 + 0 = 0.
0, 2
Determine w so that -9/2 + 1/2*w**2 - 4*w = 0.
-1, 9
Let c(x) be the third derivative of 1/6*x**5 + 1/42*x**7 + 2 + 0*x - 5/24*x**4 - 1/12*x**6 + 1/6*x**3 - 5*x**2 - 1/336*x**8. Determine q, given that c(q) = 0.
1
Let g(q) = -q**2 - q. Let o(b) be the first derivative of 165*b**2/2 - 51. Let t(f) = 5*g(f) - o(f). Find s such that t(s) = 0.
-34, 0
Let b(j) = -82*j**3 + 76*j**3 - 5*j - 4*j**2 + 27*j + 4. Let m(h) = 13*h**3 + 9*h**2 - 45*h - 9. Let c(d) = 9*b(d) + 4*m(d). Factor c(u).
-2*u*(u - 3)*(u + 3)
Suppose 58 = 5*y + 4*o, -y - o = 815 - 829. Factor 2/3*x**3 - y*x**2 + 4/3*x + 0.
2*x*(x - 2)*(x - 1)/3
Let r = 2115494/317325 + 2/105775. Let s(v) be the second derivative of -2*v - 1/4*v**5 + r*v**3 - 5/6*v**4 - 28 + 0*v**2. What is o in s(o) = 0?
-4, 0, 2
Let g be (((-1809)/(-2412))/(18/32))/((-4)/(-6)). Determine r so that -27/2*r**g + 0 - 12*r - 3/2*r**3 = 0.
-8, -1, 0
Suppose 11*c + 42 = 17*c. Let n(t) be the third derivative of 5/12*t**4 + 6*t**2 + 5/42*t**c + 0*t + 1/2*t**6 + 0*t**3 + 0 + 3/4*t**5. Factor n(q).
5*q*(q + 1)**2*(5*q + 2)
Let a(n) be the second derivative of -9*n**5/20 - 35*n**4/2 - 149*n**3/2 - 63*n**2 - 1328*n. Factor a(h).
-3*(h + 2)*(h + 21)*(3*h + 1)
Let s(r) be the first derivative of 75*r**4/4 - 1160*r**3 + 1383*r**2/2 - 138*r - 5072. What is c in s(c) = 0?
1/5, 46
Let j(h) = -h**3 + h**2 + 2. Let c(r) = -10*r**3 - 22*r**2 + 18. Let s(k) = -c(k) + 9*j(k). Suppose s(y) = 0. What is y?
-31, 0
Let p(r) be the first derivative of -27/10*r**2 - 1/5*r**3 + 34 + 0*r. Find a such that p(a) = 0.
-9, 0
Suppose h + d + 48 = -0*d, 110 = -2*h + 5*d. Let v = h - -52. Find m, given that 1/4 + m - 5/4*m**v = 0.
-1/5, 1
What is s in 618*s**3 + 3543*s - 607*s**3 + 136*s**2 - 3374*s + 44 = 0?
-11, -1, -4/11
Let x(w) be the third derivative of -w**5/300 + 91*w**4/30 - 16562*w**3/15 + 852*w**2. Factor x(t).
-(t - 182)**2/5
Let i be 210/(-15) - (53 + -69). Suppose 12*n + 7/8*n**i - 7/2 = 0. Calculate n.
-14, 2/7
Let a(f) = 137*f + 22333. Let c be a(-163). Suppose -4*d + 12/5 + 4/5*d**3 + 4/5*d**c = 0. What is d?
-3, 1
Let v(n) be the third derivative of -n**6/300 - 2*n**5/5 - 113*n**4/60 + 58*n**3/5 + 21*n**2 - 43. Factor v(t).
-2*(t - 1)*(t + 3)*(t + 58)/5
Find c, given that -145*c**2 + 47 + 5*c**4 + 93 + 121*c - 60*c**3 - 61*c = 0.
-2, -1, 1, 14
Suppose -9 = 22*w - 25*w - 2*v, 3 = w - 3*v. Let c be (-20)/w*(-3)/(30/4). Factor -20/9*i + 2/9*i**4 - 4/3*i**3 + c*i**2 + 2/3.
2*(i - 3)*(i - 1)**3/9
Let h(l) = -7*l**3 + 36*l**2 - 15*l - 62. Let u(a) = -6*a**3 + 33*a**2 - 15*a - 57. Let b(w) = 3*h(w) - 4*u(w). Factor b(f).
3*(f - 7)*(f - 2)*(f + 1)
Suppose x + 1290 = -5*t, 2*t + 3*x = -0*t - 516. Let a = t - -1809/7. Solve -a*g**2 + 16/7*g - 13/7*g**3 - 4/7*g**4 + 4/7 = 0.
-2, -1/4, 1
Let v(f) be the first derivative of 5/21*f**3 + 13 - 1/42*f**4 - 35*f + 0*f**2. Let a(t) be the first derivative of v(t). Factor a(i).
-2*i*(i - 5)/7
Let b be 22/(-12)*(-606)/2222. Let a be (3 - 0) + 3/(-2). Factor 1/2*m**3 - a*m**2 - b*m + 1 + 1/2*m**4.
(m - 1)**2*(m + 1)*(m + 2)/2
Let h(s) be the second derivative of s**6/15 - 7*s**5/5 - 67*s**4/6 - 88*s**3/3 - 36*s**2 + 253*s - 14. Determine j, given that h(j) = 0.
-2, -1, 18
Let -2*s**2 + 4*s**4 + 0 - 10*s + 15/2*s**3 + 1/2*s**5 = 0. What is s?
-5, -2, 0, 1
What is k in 29/3*k**4 + 17/9*k**5 - 76/3*k**3 - 28/9*k**2 + 0 + 0*k = 0?
-7, -2/17, 0, 2
Let g(a) be the second derivative of a**6/20 - 141*a**5/10 + 4691*a**4/4 - 12831*a**3 + 223587*a**2/4 + 9967*a. Factor g(s).
3*(s - 91)**2*(s - 3)**2/2
Let t(h) = 2*h**3 + 45*h**2 + 121*h + 113. Let n(f) = -f**3 - 24*f**2 - 60*f - 58. Let j(d) = -5*n(d) - 3*t(d). Suppose j(p) = 0. Calculate p.
-7, -1
Let i = -608 - -956. Factor 348*j**2 - 2*j**3 + 14*j - 12 - i*j**2.
-2*(j - 2)*(j - 1)*(j + 3)
Let z(i) = -i**2 + 3*i - 1. Let j = -213 + 212. Let l(x) = 8*x**2 - 28*x + 14. Let t(r) = j*l(r) - 6*z(r). Let t(d) = 0. Calculate d.
1, 4
Factor -8 - 16/3*v**3 - 53/3*v**2 - 62/3*v - 1/3*v**4.
-(v + 1)**2*(v + 2)*(v + 12)/3
Let z(v) be the third derivative of v**5/20 - 279*v**4/4 + 77841*v**3/2 - 513*v**2. Factor z(d).
3*(d - 279)**2
Let p(a) be the second derivative of a**6/105 - 3*a**5/14 - a**4/14 + 43*a**3/21 + 30*a**2/7 - 82*a + 1. What is d in p(d) = 0?
-1, 2, 15
Find x, given that -159*x**2 - 160*x**2 - 161*x**2 - 159*x**2 + 2050624 - 2864*x + 640*x**2 = 0.
1432
Let f(v) = -6*v**2 + 659*v + 631. Let c(b) = -b**2 + 110*b + 105. Let o(p) = -34*c(p) + 6*f(p). Suppose o(g) = 0. Calculate g.
-1, 108
Let r(h) = -61*h**2 - 147*h + 194. Let m
|
{
"pile_set_name": "DM Mathematics"
}
|
56. Let p = 5552 - 5564. Calculate f(p).
8
Let f(l) = 5*l + 7. Let o(c) = -31*c - 69. Let x(h) = 10*h + 23. Let a(p) = 6*o(p) + 17*x(p). Let v(m) = -2*a(m) - 7*f(m). Calculate v(-4).
9
Let o(j) = -j + 3. Let n be 21*(26/(-6) + 1). Suppose -113*h + 119*h - 345 = 45. Let x = n + h. What is o(x)?
8
Let j(d) = -39*d**2 - d - 2. Let w be j(-1). Let o = 50 + w. Suppose 6*t = -o - 20. Let a(u) = -2*u + 4. Give a(t).
14
Let z(a) = -977 + 493 - a**2 - 2*a + 492. Suppose -7*j + 22*j + 60 = 0. Determine z(j).
0
Suppose -j + 0*j + 4 = 0. Let m be 8 - -1 - (0 - 1). Suppose 0 = j*i + i - m. Let d(x) = -2*x**3 + 3*x**2 - 2*x. Calculate d(i).
-8
Suppose 0 = 15*f - 445 - 395. Let m(k) = f*k - 91*k + 34*k - k**3 + 5 + 7*k**2. Calculate m(7).
-2
Let m = 670 + -424. Let w = m - 250. Let i(u) = u**3 + 3*u**2 + 2*u + 5. What is i(w)?
-19
Suppose -49*a + 1038 - 1368 = -19*a. Let f(b) = -5*b - 50. Calculate f(a).
5
Let o(g) = 2225 - 1119 - 1118 - 12*g. Calculate o(-7).
72
Suppose -13*b + 8 = -18*b + 2*h, 3*b - 5*h = 18. Let r(v) = -v**2 + 7*v + 6. What is r(b)?
-38
Let c(f) = -4*f + 64. Let o be c(-12). Let d = o + -110. Let k(y) = 0*y - 2*y**d - 4*y + 0*y - 1 + y. Give k(-2).
-3
Let y(k) = -2*k**2 + 11*k + 6. Suppose 4*h + p = 5 + 16, 4*p - 4 = 0. Determine y(h).
11
Let g(q) be the second derivative of -13*q**2 - 40*q + 1 + 5/6*q**3. Calculate g(6).
4
Let k = 11621 - 11618. Let n(p) be the third derivative of 0*p + 0 - 1/60*p**5 + 3*p**2 + 1/24*p**4 + 1/3*p**3. Give n(k).
-4
Let c(f) = 3*f - 27. Suppose -15*k + 42*k - 270 = 0. Determine c(k).
3
Let b(m) be the second derivative of -m**4/6 + 41*m**3/6 + 13*m**2 - 2490*m. Calculate b(21).
5
Let k(r) = r - 7. Let z(i) be the third derivative of i**6/120 - 5*i**5/12 - i**4 - 23*i**3/3 - 4*i**2 - 6*i. Let n be z(26). What is k(n)?
-1
Let q = -18418 - -18424. Let l(b) = -b**3 + 3*b**2 + 11*b + 40. What is l(q)?
-2
Let v(j) = -j**3 - 57*j**2 + 104*j + 29. Let g(l) = 2*l**3 + 115*l**2 - 207*l - 51. Let s(d) = -5*g(d) - 11*v(d). What is s(-54)?
-10
Let x(l) be the first derivative of l**3/3 - 5*l**2/2 + 5*l - 1. Let z be (3 + -4)/((-2)/14). Suppose 3*m + 29 = 4*h, 0 = h + z*m - 3*m + 7. Determine x(h).
5
Let t(w) be the third derivative of w**6/120 + 3*w**5/20 + w**4/4 + 5*w**3/6 + 1764*w**2. Calculate t(-9).
-49
Let g(l) be the third derivative of 11*l**5/60 - 31*l**4/24 - l**3/6 + 2*l**2 + 14*l + 6. Determine g(3).
5
Let i(l) = -2*l**3 - 14*l**2 - 11*l. Let s = 6373 - 6379. Determine i(s).
-6
Let r(k) = 14*k**3. Suppose -2 = h, 4*i - h + 2*h = 134. Let a be (-133)/4 + (-5)/(-20)*1. Let d = a + i. What is r(d)?
14
Let t(q) = 13*q - 28. Let n(w) = -7*w + 14. Let d(x) = 11*n(x) + 6*t(x). Suppose -19*h = -3*h + 3504. Let p = -219 - h. Calculate d(p).
-14
Let a be ((-156)/(-48))/(18/72). Let b(l) = -l**2 + 13*l - 18. What is b(a)?
-18
Let k(c) = -c**3 + 10*c**2 + 12*c - 62. Let x be k(10). Suppose -106*i = -135*i - x. Let g(t) = 11*t**2 + 2*t + 1. Give g(i).
41
Let r(s) = -s + 2. Let z be r(0). Let x(d) = 0*d - d**2 + z - 2*d + 5*d. Suppose 31*a - 36 - 79 = 40. Calculate x(a).
-8
Let n(l) be the second derivative of -8*l**3/3 - 162*l**2 - 736*l + 1. Calculate n(-20).
-4
Let i(w) be the first derivative of -1 + 1/3*w**3 + 7/2*w**2 - 11*w. Let h(r) = -r**3 - 33*r**2 - 213*r + 18. Let o be h(-9). Calculate i(o).
7
Let y be 1*(-7)/5 + (-8)/(-20). Let q(v) = -v**2 + 10*v - 7. Let d be q(9). Let f(u) = 3*u - 3*u + 3 - 4*u - d. Calculate f(y).
5
Let i(m) = -m - 1. Let t be (-1)/((-24)/(-25) - 1). Suppose -10*z - 34*z - 184 + 844 = 0. Suppose 5*s - z = 0, t = -4*h + s - 10. What is i(h)?
7
Let o(s) = -236*s + 12979. Let i be o(55). Let v(u) = 1 + 0*u + 2*u - 14*u**3 + u**3. Calculate v(i).
12
Let m(z) = -81*z**2 + 9 - 90*z**2 + 265*z**2 - 95*z**2 + 21*z. Determine m(18).
63
Suppose 2*n = 4*h - 12, -5*h + 9 = -3*n - 8*h. Let o(f) = -5*f**2 - 7*f. Let p(x) = -6*x**2 - 8*x. Let i(q) = n*o(q) + 3*p(q). What is i(-3)?
6
Let l(w) be the first derivative of -w**5/120 + 5*w**4/24 - 2*w**3/3 - 3*w - 57. Let s(y) be the third derivative of l(y). Give s(8).
-3
Let i(r) = -31*r + 97. Let v(t) = 322*t - 973. Let k(s) = 21*i(s) + 2*v(s). Calculate k(12).
7
Let w(p) = -p**3 + p**2 + 2*p + 3. Suppose 55*u = 42*u + 3484. Let r = u + -270. Give w(r).
11
Let t(c) = 11*c + 350. Suppose -2062*d + 1868*d - 5820 = 0. What is t(d)?
20
Let z(a) = -2*a**3 + a**2 - 2*a - 1. Let o(h) = -h**3 - h**2 + 6*h + 6. Let l be o(-1). Suppose l = -p + 25 - 23. Determine z(p).
-17
Suppose -5*u - 4*h + 1 = 0, 3*u + 11*h + 13 = 12*h. Let o(j) = j**3 + 2*j**2 + 2. Give o(u).
-7
Let v(h) be the third derivative of 1/3*h**3 + 6*h**2 - 7/60*h**5 + 0*h + 5/24*h**4 - 11 + 1/120*h**6. Give v(6).
-4
Let i(v) = -1095*v - 10*v**2 + 1087*v + 9*v**2. What is i(-7)?
7
Let w(t) = 3*t**3 - 8*t**2 + 13*t + 18. Let g(a) be the first derivative of -a**4 + 8*a**3/3 - 9*a**2 - 19*a - 245. Let l(c) = 2*g(c) + 3*w(c). What is l(7)?
-12
Let m(s) be the first derivative of -14*s**3/3 - 98*s**2 - 8*s + 8224. Determine m(-14).
-8
Suppose -36*y + 19*y + 632 = 141*y. Let s(w) be the first derivative of 2*w**2 - 2*w - 1. Determine s(y).
14
Suppose 0 = -65*t + 69*t + 3*o - 15, 0 = t + 3*o - 15. Let x(m) = m**2 + 59 + m**2 - m**2 - 52. What is x(t)?
7
Suppose 3*s - 15 = -5*c, -18 = -c - 5*s + 7. Suppose w + 4 = 3*w. Let h(j) = -j - 1 + j - j**w - 3*j + c. Give h(-3).
-1
Let a(f) be the third derivative of -f**4/12 - f**3/3 + 29*f**2 - 3*f + 6. Let i(m) = 3*m - 1. Let k = 0 - -1. Let n be i(k). What is a(n)?
-6
Suppose 12 = w - 12. Let x be ((-9)/(-4))/(9/w). Let y(b) be the second derivative of b**4/12 - 4*b**3/3 + b**2 - 9*b - 5. Give y(x).
-10
Let x(i) = -862 + 7*i + 4*i**2 + 10*i**3 - 2*i**3 + 866. Determine x(-2).
-58
Let m = 839 - 833. Let i(t) = 3*t**2 - 1 - 11*t + 2 - 4*t**2 + 2*t**2. Calculate i(m).
-29
Let p(f) = 46*f + 831. Let c be p(-18). Let q(k) = -3*k**3 + 3*k**2 - 2*k + 2. What is q(c)?
-58
Let y(j) = -j**3 + 7*j**2 - 9*j - 2. Let x = -13100 + 13105. What is y(x)?
3
Let c = 501 + -486. Suppose 120 = c*o - 0. Let d(l) = 2*l - 7. Let n(m) = -m + 4. Let j(v) = 3*d(v) + 5*n(v). Give j(o).
7
Let z(k) be the third derivative of -k**7/1260 + k**5/120 + k**4/8 + 11*k**3/6 + 2*k**2 - 22. Let l(h) be the second derivative of z(h). Give l(3).
-17
Let c(l) = -7*l**3 - 5*l**2 + 6*l - 65. Let a(j) = 11*j**3 + 7*j**2 - 9*j + 104. Let p(z) = -5*a(z) - 8*c(z). Determine p(-6).
-18
Let j(s) = -s**2 + 93709312*s - 93709312*s. Suppose 2*v = 2*g, 0 = -v - 2*v - 6. Determine j(g).
-4
Let p(r) be the first derivative of -3*r**2/2 + 17*r - 645. What is p(7)?
-4
Suppose 4*w - 21 = -3*m, 1 = 4*m - 5*m. Suppose 0 = -635*c + 661*c - 52. Let z(v) = 6*v**c - v - v**2 - w*v**2. Give z(-2).
-2
Let r be (-8)/(4 + (-126)/33). Let m = -49 - r. Let g(b) = 4*b + 7. Determine g(m).
-13
Let u(s) be the third derivative of s**6/60 - s**5/20 + s**4/6 - s**3/2 + 64*s**2. Suppose -8*t + 16 = -4*t. Suppose 3*z + t = 10. Determine u(z).
9
Let n(g) = -5*g**3 + 2*g**3 - 2*g + 3*g**2 - 7 + 16 - 6. Let s(b) = b**3 + b**2 - b. Let a = -61 - -62. Let f(v) = a*n(v) + 2*s(v). What is f(2)?
7
Let z(s) = 83*s**3 + 1660*s**2 - 5*s - 95. Let v be z(-20). Let j(r) be the third derivative of -2*r**2 + 0 + 0*r - 1/6*r**3 - 1/12*r**4. Calculate j(v).
-11
Let j(a) = a + 3. Let c(h) be the third derivative of -h**6/120 + 13*h**4/24 - h**3/3 + 102*h**2. Let o be c(3). Calculate j(o).
13
Let d(r) = r**2 + 15*r - 432. Let f be d(-30). Let l(b) = -b**2 + 19*b - 7. What is l(f)?
11
Let j(p) = 3*p - 626 + 1885 - 602 - p**2 - 620. What is j(7)?
9
Let o(z) be the first derivative of -3*z**2/2 + 9*z + 1977. Calculate o(-10).
39
Let h(n) = n + 15. Let y(i) = 196*i - 597. Let t be y(3). Give h(t).
6
Let d(w) = -3 - 1 - 12*w + 8*w - 2*w + w**2 + 2. Calculate d(8).
14
Let c(h) be the second derivative of -h**4/6 - 10*h**3/3 + 13*h**2/2 - 3052*h. Give c(-11).
-9
Let m(p) = 1 - 3 - 5*p - 62*p**2 + p + 63*p**2. Let t(n) = -n - 3. Let s be t(-11). What is m(s)?
30
Let w(l) = -17 - 2*l**2 + 15 + l**2 - 5*l. Suppose -6*z = -5*k - 2*z, 0 = 3*k + 4*z + 32. Give w(k).
2
Let c(x) be the second derivative of -x**3/6 + 2*x**2 - 258*x. Let p(o) = 10. Let m(r) = -5*c(r) + 2*p(r). Determine m(1).
5
Suppose -5*t - 13 = -3. Suppose -3*f + 14 = -f - 3*a, 3*f - 8 = -2*a. Let o(
|
{
"pile_set_name": "DM Mathematics"
}
|
45, -1, 13?
-1
What is the closest to -0.46 in -136, 1, 1/6, 506, 4?
1/6
What is the closest to -13 in 1, -0.1, 1/135133?
-0.1
Which is the nearest to 1.7? (a) -2946 (b) 1687 (c) 5
c
What is the nearest to -0.0608 in 64/5, 20, -5?
-5
Which is the nearest to 0? (a) -19 (b) -50068 (c) 0.2 (d) 1
c
What is the closest to -0.1 in 26211, -2/7, 1/2, -0.5?
-2/7
What is the nearest to -2/5 in 9, -19, -4, 6, -1.01, 2?
-1.01
Which is the nearest to 3? (a) -2/297 (b) -1/3 (c) -2/9 (d) 12 (e) -1.7
a
What is the closest to 1/3 in 2/13, -954.7501, 1?
2/13
Which is the nearest to 135? (a) -5 (b) 137 (c) 68 (d) 0.1 (e) 0.5
b
What is the closest to -1 in -0.4, 2.3, -0.01, 2, -3124?
-0.4
What is the nearest to 0.0829 in 34, 6, -33?
6
Which is the closest to 37/17? (a) 0.41 (b) -4 (c) -3/2 (d) -5 (e) 0.08
a
What is the closest to 0.1 in 0, -75, 1.81849?
0
What is the closest to 2/27 in 1/3, -26, -3.51?
1/3
Which is the nearest to 2? (a) -1 (b) 4524/529 (c) 3/2
c
Which is the nearest to -2? (a) -149 (b) 2/7 (c) 5 (d) -133
b
Which is the closest to -2704? (a) -9 (b) -0.03 (c) 0.057 (d) 0.4 (e) 0
a
What is the nearest to 2.7 in 54, 79, -24?
-24
What is the nearest to 1 in -227, -62, 0.2, 1, -1?
1
What is the closest to -22/5 in 0.603, 60/19, 5?
0.603
Which is the nearest to 96? (a) 0.041 (b) 1 (c) -128
b
Which is the nearest to 1? (a) 323777 (b) -0.7 (c) 2/7 (d) -2 (e) 2/9
c
Which is the closest to 5/2? (a) 2/9 (b) 3 (c) -1943743
b
Which is the closest to 24469? (a) -1 (b) -4 (c) 18 (d) 1
c
What is the closest to -1 in -0.6, -5/6, -5/3, -39/7, 4, -44?
-5/6
What is the nearest to 1/3 in -1.1, -54, 1.76, -1/5, 6?
-1/5
Which is the nearest to -9/2? (a) 0.4 (b) -63.7 (c) -0.4 (d) 3 (e) -11 (f) -0.3
c
Which is the closest to -2/5? (a) 2/5 (b) -4 (c) -1 (d) 6.34 (e) 0.35
c
Which is the closest to 1/5? (a) -0.7 (b) -2/31 (c) -6675 (d) 1/3 (e) -0.2
d
What is the nearest to 0.1 in 1, -21900, 6, 2/11, 0.5?
2/11
Which is the nearest to -105.11? (a) 0 (b) 151/3 (c) 1/3
a
What is the nearest to 3815 in -0.01, 20, -0.1?
20
Which is the nearest to -1? (a) -840 (b) -31 (c) -4 (d) 4 (e) -12 (f) -2/7
f
What is the closest to 2 in -771, 6, -5, 0.4, -1, 1/32?
0.4
Which is the nearest to -60? (a) -11 (b) -0.2 (c) -26 (d) -5 (e) 2
c
Which is the closest to 1/3? (a) -27.102 (b) 4 (c) 0.7 (d) -0.5 (e) 3
c
Which is the nearest to -6/7? (a) 33/7 (b) 37 (c) -1/3 (d) 0.1
c
What is the nearest to 0.04 in -54, -0.0486, -5, 0, -2/43?
0
What is the closest to -131 in 0.0812, 3/4, -0.4, 2, 5?
-0.4
Which is the closest to -23? (a) -1 (b) 2 (c) -343 (d) -3 (e) 3 (f) 0.23
d
Which is the nearest to 1? (a) -3 (b) -0.3 (c) 135524/9 (d) 61 (e) -1/3
b
Which is the nearest to 579? (a) -1 (b) -4/19 (c) 0
c
Which is the nearest to -0.1? (a) -8/27 (b) 29/7 (c) -5 (d) 1/23 (e) 2/7
d
What is the closest to 1 in -7750, -2/7, 0.348, -2/5?
0.348
What is the nearest to 5/6 in 10, 3/4, -1.58, -11?
3/4
What is the nearest to 8566 in 2, 0, 1, 5, -0.06, -1/2?
5
Which is the closest to 0? (a) 311 (b) 663 (c) -0.3 (d) -10 (e) 0.4
c
What is the nearest to -723 in 7, -5, 0?
-5
What is the closest to 39 in 5, -4, -1/4, 172, 0.5?
5
Which is the nearest to -0.01? (a) -1793/113 (b) 3/7 (c) -3/2 (d) -4
b
Which is the nearest to 0.2? (a) -5/4 (b) 1.5 (c) -34286 (d) 0.5 (e) 0.01
e
Which is the nearest to 0.1? (a) -25/14 (b) -1/13 (c) 223 (d) 0 (e) -0.3
d
What is the closest to 51094 in 4, -3, -5, -0.11?
4
What is the closest to 2/5 in -0.1, -1, -40, 1/18?
1/18
What is the nearest to -0.04 in 3/2, -5582085, -1/2?
-1/2
Which is the nearest to 3905? (a) -0.2 (b) 47 (c) 0.08
b
Which is the nearest to -1.69? (a) -28 (b) 0.2 (c) -13/8
c
What is the nearest to -1/3 in 4, 0.2, -130/139, -0.3?
-0.3
What is the closest to 0.03 in 30513, -17/2, -13/3?
-13/3
Which is the nearest to 2? (a) -15 (b) -229073 (c) -0.4
c
Which is the closest to 3? (a) 0.068 (b) 3 (c) 2/21 (d) 6.4
b
Which is the nearest to 2? (a) 6513 (b) 0.2 (c) 0.4 (d) 25 (e) -0.1
c
What is the nearest to -1 in 1292189, 0.5, 1?
0.5
Which is the closest to 1/4? (a) 5 (b) -38 (c) 2 (d) -4.2 (e) 190
c
What is the nearest to -6.87 in -13, 0.02, 3, 1, -3?
-3
What is the nearest to -2 in -4/2687, -1, -2/9, -5, 4?
-1
Which is the nearest to -2/401? (a) -4 (b) -0.5 (c) -0.3 (d) 85 (e) 6/7
c
Which is the closest to -0.05? (a) -5 (b) 2/5 (c) 8 (d) 71 (e) -5/8
b
Which is the nearest to -11175? (a) -1 (b) 2/19 (c) -15
c
What is the nearest to -170/2709 in 3, 1, 35, -1/2?
-1/2
What is the closest to -12 in 22065, -5, -8?
-8
What is the nearest to -28 in 2/7, -967021, -1/3?
-1/3
Which is the closest to -3? (a) -3 (b) 32/9 (c) -1 (d) 4 (e) 0.55
a
What is the closest to 5/3 in -3, 184, -1, -0.044, 2/3, -4/3?
2/3
What is the nearest to -0.942 in 5, 0.2, 20, -2/3, 1.16?
-2/3
Which is the closest to 3/10? (a) 4.6 (b) -6 (c) -1/7 (d) -1/19 (e) 0 (f) -3
e
Which is the closest to 1/2? (a) -1/3 (b) 1 (c) -0.4 (d) 704788
b
Which is the closest to 10? (a) 220765 (b) 3 (c) 0.3 (d) -1/3
b
What is the nearest to -3043/11 in 4/11, 8, 1/3?
1/3
What is the nearest to 0 in -0.5, 250, 2/13, -0.1105, -0.21, -0.2?
-0.1105
What is the closest to -557 in -127, 8, -4?
-127
Which is the closest to -7? (a) 4 (b) -84706 (c) -1
c
What is the closest to -2 in -2, 1/3, 1737, 134?
-2
Which is the closest to 2/5? (a) 0.1 (b) -0.2 (c) 57503 (d) 3/11
d
Which is the closest to -3? (a) 12/11 (b) 4/5 (c) -4 (d) 31.2 (e) 3/2 (f) -2/3
c
Which is the closest to 1? (a) -20/19 (b) -12 (c) -385
a
What is the closest to -43 in 0.2, 0, 6611?
0
Which is the closest to 0.2038? (a) 3 (b) -1 (c) 99 (d) 0.5 (e) 2/5
e
Which is the closest to -450? (a) -2/3 (b) -0.03 (c) -166 (d) -3 (e) 0.5 (f) 3
c
Which is the closest to 2/3? (a) -4 (b) 2 (c) 1.141 (d) -38.4
c
Which is the nearest to -2? (a) -5 (b) 2105.8 (c) -46 (d) -3/2
d
What is the closest to -30 in 9, 1, -89, 1/31, 0.2, -2?
-2
Which is the closest to 1? (a) 1/5 (b) 0.59 (c) -4 (d) -357
b
What is the closest to 2/7 in 5/6, -243.5, -1, 0?
0
Which is the nearest to 35/36? (a) -0.5 (b) -3/28 (c) 3
b
What is the closest to -2/5 in -1/8, 0.5, -6.887, -6, -2?
-1/8
Which is the closest to -181? (a) 43 (b) 1 (c) -4/7 (d) 49 (e) -3/2 (f) 0.1
e
What is the nearest to 2 in -1/23, 2/7, 2/11, 5, -1/112, 78?
2/7
Which is the closest to 1? (a) 10/3 (b) 0.09 (c) -0.3 (d) 2 (e) -44656
b
Which is the nearest to -25? (a) -3 (b) -2 (c) 19 (d) 2/1113
a
Which is the nearest to 6? (a) 73643 (b) -2/3 (c) 4 (d) 1/7
c
What is the nearest to -2/11 in -0.3, 13, -221/25?
-0.3
What is the nearest to 5 in -4/237, -61, -0.01?
-0.01
What is the closest to -3 in 0.5, -9/4, 0, 5, -1.4?
-9/4
Which is the nearest to -8/57? (a) 0 (b) -33 (c) -81 (d) 4/5
a
Which is the closest to -11? (a) -5172/161 (b) 3 (c) -5
c
Which is the closest to 1/3? (a) -17 (b) -6 (c) -1 (d) 2/17 (e) 22
d
What is the closest to 0.05 in -79, -180.8, -0.2, -9, -3/4, -2/15?
-2/15
Which is the closest to 3/2? (a) 2/9 (b) 0.0175 (c) 0.5
c
What is the closest to -0.4 in 0.05, -1/4, -3/119, -2/205, 2/7?
-1/4
What is the nearest to -141 in 5, 0.1, 2, -0.5, -0.17?
-0.5
Which is the nearest to 0.7? (a) -4/3 (b) -6925 (c) 1/5 (d) 5 (e) -2/5
c
What is the closest to 212300 in 4, 2, -4, -0.5?
4
Which is the closest to -17633? (a) -2 (b) -0.5 (c) -4 (d) -0.06
c
What is the closest to 0.03 in 0.13, -0.2, 786, 4, -2/9?
0.13
Which is the nearest to 1/6? (a) 3/7 (b) -62/1379 (c) 4/5 (d) 0.025
d
What is the closest to 2/5 in 34579/34, 8, 0.02?
0.02
What is the nearest to 0.00931 in -23.9, 15, 1?
1
What is the nearest to -4 in -5, -935391, 0.8?
-5
What is the closest to 1/4 in -24, 7, -2/29, -1, -2, 3.8?
-2/29
What is the nearest to -5/4 in 2/3, 2, -245.93?
2/3
What is the closest to 1 in -4, 1/23, 83, -0.5, -182, 4?
1/23
Which is the closest to 2? (a) -39759 (b) 3 (c) 1/5 (d) -3
b
Which is the nearest to 1/2? (a) -330 (b) -2/11 (c) -2/1007
c
What is the closest to -347895 in 1/5, -1/17, -3, 2?
-3
Which is the nearest to 44/49? (a) 0.2 (b) 0 (c) -30 (d) -3/5
a
Which is the closest to -7/4?
|
{
"pile_set_name": "DM Mathematics"
}
|
and give u.
21
Rearrange 11 - 11 - r**2 + 11 to the form a + f*r**2 + d*r and give a.
11
Rearrange -1 - 5*m**2 + 2 + 15*m**2 - 4*m**2 to the form j*m**2 + p + i*m and give p.
1
Rearrange 67*a + 6*a**2 - 67*a to j*a + q*a**2 + r and give q.
6
Rearrange (-4 - 280*g - 3*g**2 + 280*g)*(0 + 4 - 5)*(-2*g - 3 + 3) to o + s*g**3 + j*g + h*g**2 and give j.
-8
Express 3*y**2 + 32 - 2*y**2 - 3*y - 29 in the form r*y**2 + j*y + p and give r.
1
Express (0 - 1 + 3)*(-9 - 10 + 7)*(2*b**2 + b**2 - b**2) + 3*b - 3*b + 2*b**2 in the form n*b**2 + o*b + r and give n.
-46
Express 0 + 1 - 4*a + 2*a + (-a - 3 + 3)*(2 + 1 - 2) + 2 - 2 - a as r*a + h and give h.
1
Express (-5*z + 2 - 18*z - 2*z**2 + 21*z)*(0 + 2 - 1) in the form v*z + b*z**2 + f and give f.
2
Rearrange (0*x - 2*x + 5*x)*(-45*x + 147*x - 77*x) + 4*x**2 - x**2 - 2*x**2 to the form q*x**2 + l + n*x and give q.
76
Rearrange (-1 + 3*h**2 + 1)*(4*h + 2*h + 32 - 8*h) to k*h**3 + t + q*h + x*h**2 and give x.
96
Express (3*q - 2*q - 2*q)*(1 - 1 - 2)*(-4 + 1 + 1)*(-q + 3*q - 4*q) in the form t*q + j*q**2 + f and give f.
0
Rearrange (-y + 3*y - y)*(2*y**3 + 0 + 0) + (-4*y**4 + 3*y**4 + 0*y**4)*(4 + 3 + 1) to k*y**4 + m*y**2 + a*y**3 + s + q*y and give k.
-6
Rearrange 0*t + t**3 + 0 + 5*t + t**3 - 2 to q + v*t + a*t**2 + g*t**3 and give g.
2
Express (b**2 + 3*b**2 - 2*b**2)*(-4*b - b + 2*b - b - 2*b + 0*b + (1 + 1 + 0)*(5 - 5 + 2*b)) as n*b**2 + f*b**3 + u + s*b and give f.
-4
Rearrange 2*t + 11*t - 4*t + 47*t to x + j*t and give j.
56
Rearrange -i**2 + 1 + 8*i**2 + 0 to the form w + o*i + r*i**2 and give w.
1
Rearrange (-2*w + 2*w + 2*w**2)*(-6 + 6 - 4*w)*(-3 + 0 + 2 + 2 + 0 + 0 + (2 - 4 + 4)*(4 - 6 + 3)) to r*w**3 + c*w + h*w**2 + f and give r.
-24
Rearrange -9 + s - 6*s**3 + 3*s**3 + 6 to the form p*s + a + j*s**3 + i*s**2 and give p.
1
Express -85*i - 114*i + 177*i as q + a*i and give a.
-22
Rearrange -45*f**2 + 21*f**2 - 21*f**2 to p*f + u*f**2 + k and give u.
-45
Express 0*j - j + 3*j - 3*j as v + u*j and give u.
-1
Rearrange (-30*w**2 + 14 - 14)*((5*w - 2*w - w)*(-2*w + 0 + 0) + (-w**2 + 1 - 1)*(3 - 1 - 3)) to z*w**3 + y*w**2 + u*w + j + i*w**4 and give j.
0
Express -8*k**2 - 7*k**2 - 2*k**2 + 7*k**2 as u*k + o + x*k**2 and give x.
-10
Express r**4 - 18*r**4 + 2*r**4 + (r - 2*r - 2*r)*(3*r**2 + 2*r**3 - 3*r**2) in the form g*r + h*r**2 + l*r**4 + b*r**3 + w and give l.
-21
Rearrange 87*g - 1 + g**3 - 42*g - 43*g + 2*g**2 to j*g**3 + i*g**2 + h*g + k and give k.
-1
Rearrange -33*m**2 + 2*m**2 - 21*m**2 to l + p*m + k*m**2 and give k.
-52
Express 4 + 75*u + 7 - 11 as w + d*u and give d.
75
Express 4*l**2 + 24 - 44 + 20 in the form y + z*l**2 + n*l and give z.
4
Rearrange (-2*m**2 + 2*m**2 - m**3)*(2 - 2*m - 2)*(-1 + 5 + 2) to t*m + k*m**3 + y*m**4 + q + l*m**2 and give y.
12
Express l + 6*l**2 + 30 - 30 - 2*l as j*l + v + m*l**2 and give m.
6
Express (-2*q + 5*q - 4*q)*(-2*q - 5*q + 3*q) + 17*q - q**2 - 17*q as j*q + x*q**2 + o and give x.
3
Express (-2*t**2 + 3*t**2 - 9*t**2)*(-2 - t - 4*t + 3*t) in the form k*t**3 + n + f*t**2 + b*t and give b.
0
Rearrange (-3 + 3 - 2*o)*(-4 + 2 - 4) - 1 + 1 - 2*o + 0*o + 4*o - 2*o - 5 to the form s*o + l and give s.
12
Rearrange 17*f + 8*f + 0*f to j + o*f and give o.
25
Express (2*t**3 + t**3 - t**3)*(20*t - 8*t + 6*t) + 2*t**4 - t**2 + t**2 as x*t + u*t**3 + p + d*t**4 + z*t**2 and give d.
38
Express ((2 + 4 - 4)*(0 + 1 + 0) + 6 - 1 - 2)*(6*j - 5*j + 0*j) as q + k*j and give k.
5
Rearrange (-2 + 2 + 2*s)*(-1 + 4 - 5 - 3 + 1 + 1 + (-3 + 5 + 0)*(2 + 1 - 1))*(1 - 2 + 4) to j + g*s and give g.
6
Rearrange (3*s**2 - 3*s**2 + 2*s**2)*(-51*s - 11*s + s) to t*s**2 + r + a*s**3 + l*s and give a.
-122
Rearrange 2*s + 3*s**2 - 2*s + 8*s**2 - 2 - 2*s**2 - s**2 + (1 - 1 - s)*(0*s + 5*s - 4*s) to the form w*s + z + l*s**2 and give z.
-2
Rearrange (-5*o + o + 2*o - 2*o + o + 2*o + (2*o - 2*o - 2*o)*(-4 + 0 + 0))*(0*o + o + 0*o + 2*o**2) to the form n*o**3 + f + m*o + w*o**2 and give n.
14
Rearrange -3*o**3 + 64 - 110 + 2*o**3 to g*o + d*o**3 + i*o**2 + s and give s.
-46
Rearrange (0 - 3 + 2)*((-13 - 4 + 23)*(-5*x + x + x) - x + 3 - 3) to the form h*x + y and give y.
0
Express 2 - 3*j - 6*j**3 + 5*j**3 + 5*j as x + q*j**3 + t*j**2 + f*j and give f.
2
Rearrange 10*c**3 + 4*c**3 + 2*c**2 + 2*c**3 to r*c + v*c**2 + t*c**3 + y and give v.
2
Rearrange (4*f**2 + 0*f**2 - 2*f**2)*(23*f - 134 + 134) - f**3 + 3*f**3 - 4*f**3 to n*f**3 + p + u*f + s*f**2 and give n.
44
Rearrange (33 + 18*h**3 - 33)*(-5 + 4 + 3) + (3*h**2 + 0*h**2 - h**2)*(3 + h - 3) to the form c*h**3 + x + g*h**2 + p*h and give c.
38
Express (2 + 0 + 2)*(-l**4 + 3*l**4 + 6*l**4) in the form i*l + s*l**2 + z*l**3 + b + d*l**4 and give d.
32
Express 0 + 13*k**3 - 3 + 1 + 1 as s + p*k**3 + r*k + i*k**2 and give p.
13
Express -23*n**2 + 29*n**2 + 3*n**3 + 2*n - 3*n**3 - n**4 in the form p*n**4 + j*n + v*n**3 + z*n**2 + x and give z.
6
Express 5 + 13*a - 5 + 3*a in the form x*a + f and give x.
16
Express -29 + 10*v + 2*v + v**2 - 12*v in the form u*v + o + y*v**2 and give y.
1
Express -9*z**3 + z**2 + z**3 - 2*z**2 + 10*z**3 + z as x*z**2 + y*z**3 + i*z + f and give y.
2
Express (-o**2 + 3 - 3)*(-12*o**2 + 24*o**2 - 31 - 10*o**2) as n*o + x*o**4 + h*o**2 + p*o**3 + b and give h.
31
Express -1 + 6*w**2 - w**3 + 0*w**2 - 6*w**2 + 3*w in the form p*w**3 + k*w + u*w**2 + l and give k.
3
Express 2*h**2 - 4*h**2 - 2*h**3 - 63*h + 0*h**3 + 65*h as c*h**3 + o*h + f*h**2 + t and give c.
-2
Express ((0 + 0 - 1)*(2 - 3 + 3) + 2 + 1 - 1 + 0 - 2 + 3)*(6 - 2 - 3)*(-11 + 11 + 3*n) as i*n + d and give i.
3
Rearrange (-22 - 5 + 2)*(1 - 4*m + 2*m + 0*m) to s*m + o and give s.
50
Express (-5 + n + 5)*(14 + n - 14)*(5*n**2 - n**2 + 3*n**2) as j*n**2 + o*n**3 + b*n**4 + k + h*n and give b.
7
Express 3*i**2 - 4*i**2 + 6*i**2 + 2*i**2 as j + a*i**2 + h*i and give a.
7
Rearrange -7*b**4 + b + 17*b**4 + 3*b**2 - 11*b**4 - 2*b to the form k + f*b**2 + v*b + x*b**3 + w*b**4 and give x.
0
Express -9*r**2 + 7*r**2 + 3*r**2 + 3 + 5*r in the form n*r**2 + m + s*r and give m.
3
Rearrange (-5 - 2 + 0)*(0*o + 3*o + 1 - 4*o) + 0*o + 2*o - 5*o to w + f*o and give f.
4
Express (0 - j + 0*j - 3)*(0 - 2*j**2 + 0 + (-2*j - 1 + 1)*(j + 2 - 2) - j**2 + 3 - 3) as a*j**2 + s + m*j**3 + r*j and give a.
15
Express 3*c**3 - 24*c**2 - 19*c**2 + 2*c**4 + 4*c + 41*c**2 as q*c + z*c**4 + i*c**2 + o*c**3 + f and give z.
2
Express k**3 + 2*k**2 + 7*k**2 - 3*k - 2*k**3 - 11*k**2 + 1 in the form n + b*k**2 + p*k**3 + i*k and give p.
-1
Rearrange (2*q + 0*q - q)*(11 - 24 + 17) + 0 + 0 + 2*q to the form h*q + p and give h.
6
Express (-r + 3*r - r)*(6 - 67*r - 78*r + 143*r) in the form d*r + a*r**2 + j and give a.
-2
Rearrange (5*g + 2*g - 5*g)*(2 - 1 - 4) + (-2*g - 3*g + 3*g)*(-1 + 1 - 1) to the form f*g + i and give f.
-4
Rearrange (-4 - 7 + 4)*(-2 - 3 + 4)*(1 - 1 - 3)*(2*c - 2*c + c) to the form n*c + a and give n.
-21
Express (3*z - 7*z - 3*z)*(-3 - 1 + 0) in the form v + b*z and give v.
0
Rearrange -2*c - 4*c + 3*c + (0 + 1 - 2)*(-9*c + 36*c + 7*c) + 2*c + c - 2*c to the form s + w*c and give w.
-36
Rearrange -z**3 - 3*z - z**3 + 38*z**2 - 36*z**2 to d*z**2 + t + g*z + v*z**3 and give v.
-2
Express (-5 + 7 + 7)*(-3*a + 2*a + 0*a)*(6*a**2 - 4*a**2 + 0*a**2) in the form p*a**3 + k + i*a**2 + f*a and give p.
-18
Express -42*q + 37*q**2 - 42*q + 84*q in the form b*q**2 + l*q + n and give b.
37
Rearrange (0 - 7 + 15*s + 3)*(-s + 2*s + 0*s) to the form q*s**2 + p*s + f and give f.
0
Express 36*f - 28*f + 46*f in the form u + k*f and give k.
54
Express 72*z**2 - 985 + 985 as j + y*z**2 + i*z and give y.
72
Express (-c + 4*c + 0 - 2)*((-5 - 2 + 5)*(0 + 4 - 3) + 2 + 1 - 2 - 3 + 6 + 5) as l + o*c and give o.
21
Rearrange (3*c + 7*c + 4*c)*(-3 - 1 + 2) + (-2*c + 0*c + c)*(0 - 2 + 3) to o + j*c and give j.
-29
Express (-2 + 2 - 2*v)*(25 - 12 + 0)*(v**3 + 3*v**3 - v**3) as h*v**4 + b*v + n + g*v**2 + t*v**3 and give h.
-78
Express m - 9*m**2 - m + 0*m in the form r*m**2 + v + w*m and give r.
-9
Express -3*q**2 + 4*q**2 + q**2 + (-2*q - q + q)*(-7 + 2 + 2)*(-6*q + 6*q + 13*q) in the form f*q + o*q**2 + m and give o.
80
Express (2 - 3 + 3)*(-4*l + 22*l - 40*l) as p + n*l and give n.
-44
Express (m**2 + 2*m**2 - 2*m**2)*(5 - 1 - 1)*(23 + 0 - 10) as t*m + r + y*m**2 and give y.
39
Express 0*k**
|
{
"pile_set_name": "DM Mathematics"
}
|
t common divisor of 115 and 5060.
115
Calculate the highest common divisor of 117 and 637.
13
What is the highest common divisor of 85 and 10?
5
Calculate the highest common factor of 2358 and 12.
6
What is the greatest common divisor of 12 and 417?
3
What is the highest common factor of 63 and 2331?
63
What is the greatest common factor of 3025 and 5?
5
Calculate the greatest common factor of 28308 and 60.
12
What is the highest common factor of 1200 and 105?
15
Calculate the highest common divisor of 264 and 858.
66
What is the highest common divisor of 2750 and 55?
55
What is the greatest common divisor of 23 and 1081?
23
Calculate the greatest common divisor of 644 and 28.
28
Calculate the highest common divisor of 18 and 24.
6
Calculate the greatest common factor of 122 and 2806.
122
What is the highest common factor of 22 and 11748?
22
Calculate the highest common divisor of 80 and 180.
20
Calculate the greatest common divisor of 161 and 3500.
7
Calculate the highest common divisor of 540 and 9.
9
What is the highest common factor of 42 and 462?
42
What is the greatest common factor of 68 and 119?
17
Calculate the highest common factor of 60 and 84.
12
What is the greatest common factor of 145 and 899?
29
What is the highest common divisor of 19 and 551?
19
Calculate the greatest common divisor of 1782 and 88.
22
Calculate the highest common factor of 1835 and 20.
5
What is the highest common divisor of 403 and 124?
31
What is the highest common divisor of 33 and 5?
1
What is the highest common factor of 903 and 105?
21
Calculate the greatest common factor of 38 and 722.
38
Calculate the greatest common divisor of 7032 and 24.
24
Calculate the greatest common divisor of 19350 and 10.
10
What is the highest common factor of 240 and 330?
30
Calculate the greatest common factor of 16 and 5740.
4
Calculate the greatest common factor of 448 and 7.
7
What is the greatest common factor of 21 and 20937?
21
Calculate the greatest common divisor of 16 and 128.
16
Calculate the highest common factor of 445 and 10.
5
What is the greatest common divisor of 4 and 15?
1
Calculate the highest common factor of 160 and 280.
40
Calculate the highest common factor of 1170 and 12.
6
What is the highest common factor of 902 and 123?
41
Calculate the highest common factor of 2223 and 819.
117
Calculate the greatest common factor of 12 and 33.
3
Calculate the highest common divisor of 17498 and 52.
26
Calculate the highest common factor of 135 and 15.
15
What is the highest common factor of 2238 and 6?
6
What is the highest common factor of 992 and 155?
31
What is the highest common divisor of 396 and 60?
12
Calculate the greatest common factor of 32700 and 300.
300
Calculate the highest common divisor of 36 and 27.
9
What is the highest common factor of 39 and 13?
13
What is the highest common factor of 195 and 2613?
39
Calculate the highest common divisor of 608 and 800.
32
Calculate the greatest common factor of 50 and 275.
25
What is the highest common divisor of 6010 and 30?
10
Calculate the highest common factor of 567 and 63.
63
Calculate the greatest common factor of 1659 and 21.
21
Calculate the greatest common divisor of 418 and 6.
2
Calculate the highest common divisor of 16 and 1.
1
Calculate the greatest common factor of 19 and 57.
19
What is the greatest common divisor of 1005 and 105?
15
What is the greatest common divisor of 644 and 46?
46
What is the greatest common factor of 2573 and 31?
31
Calculate the greatest common factor of 25 and 3200.
25
What is the greatest common factor of 26 and 949?
13
Calculate the greatest common divisor of 1908 and 1060.
212
What is the highest common divisor of 1375 and 11?
11
What is the greatest common divisor of 685 and 822?
137
Calculate the highest common factor of 46478 and 68.
34
What is the highest common factor of 105 and 1925?
35
What is the highest common factor of 351 and 216?
27
Calculate the greatest common divisor of 1902 and 6.
6
Calculate the greatest common factor of 772 and 4.
4
Calculate the highest common divisor of 1386 and 966.
42
Calculate the greatest common divisor of 473 and 33.
11
Calculate the highest common divisor of 22404 and 12.
12
What is the greatest common factor of 27 and 1350?
27
Calculate the greatest common factor of 13300 and 50.
50
What is the greatest common factor of 1540 and 360?
20
Calculate the highest common divisor of 11 and 99.
11
What is the highest common factor of 126 and 108?
18
Calculate the highest common divisor of 1197 and 114.
57
What is the highest common divisor of 9070 and 20?
10
Calculate the highest common divisor of 32 and 10.
2
Calculate the greatest common divisor of 468 and 260.
52
Calculate the highest common factor of 1470 and 60.
30
What is the greatest common factor of 216 and 12?
12
Calculate the highest common divisor of 429 and 169.
13
What is the greatest common divisor of 396 and 90?
18
What is the highest common divisor of 720 and 10?
10
Calculate the highest common divisor of 44 and 11.
11
What is the greatest common factor of 319 and 77?
11
What is the highest common divisor of 638 and 1342?
22
What is the highest common factor of 800 and 224?
32
Calculate the highest common factor of 17 and 7.
1
Calculate the greatest common factor of 22 and 26.
2
What is the highest common divisor of 2530 and 20?
10
What is the greatest common divisor of 57 and 6?
3
What is the greatest common divisor of 17 and 459?
17
Calculate the greatest common divisor of 87 and 3.
3
What is the highest common factor of 324 and 1026?
54
Calculate the highest common divisor of 32 and 36.
4
What is the greatest common factor of 1 and 173?
1
What is the greatest common divisor of 286 and 13?
13
What is the greatest common factor of 84 and 70?
14
What is the greatest common factor of 16180 and 20?
20
What is the highest common factor of 8 and 524?
4
What is the greatest common factor of 210 and 930?
30
What is the highest common factor of 21 and 21?
21
What is the highest common divisor of 224 and 64?
32
Calculate the greatest common factor of 41331 and 69.
69
What is the greatest common factor of 1335 and 89?
89
What is the greatest common divisor of 710 and 5254?
142
What is the highest common factor of 1281 and 9150?
183
Calculate the highest common factor of 25 and 625.
25
What is the greatest common divisor of 280 and 63?
7
Calculate the highest common divisor of 50 and 970.
10
What is the greatest common divisor of 255 and 75?
15
What is the greatest common factor of 55 and 85?
5
What is the greatest common factor of 33 and 1191?
3
Calculate the highest common factor of 156 and 948.
12
Calculate the highest common factor of 210 and 84.
42
What is the greatest common divisor of 108 and 2316?
12
Calculate the greatest common factor of 957 and 58.
29
Calculate the greatest common factor of 11352 and 33.
33
What is the greatest common divisor of 372 and 12?
12
What is the greatest common divisor of 30 and 41610?
30
Calculate the greatest common divisor of 8 and 1864.
8
What is the highest common factor of 23 and 3128?
23
What is the greatest common divisor of 48 and 84?
12
What is the highest common factor of 1603 and 14?
7
Calculate the greatest common factor of 43 and 2881.
43
What is the greatest common factor of 8 and 152?
8
Calculate the greatest common factor of 594 and 44.
22
What is the greatest common divisor of 984 and 369?
123
Calculate the greatest common factor of 2869 and 755.
151
Calculate the highest common divisor of 49 and 2.
1
What is the greatest common factor of 4324 and 92?
92
What is the greatest common factor of 36 and 15858?
18
What is the greatest common divisor of 30 and 165?
15
Calculate the greatest common factor of 7852 and 104.
52
Calculate the greatest common divisor of 676 and 156.
52
Calculate the highest common divisor of 14 and 22.
2
Calculate the greatest common factor of 43 and 48848.
43
What is the highest common divisor of 259 and 370?
37
What is the greatest common divisor of 1050 and 25?
25
What is the greatest common factor of 2788 and 68?
68
Calculate the highest common divisor of 28 and 238.
14
What is the highest common divisor of 19 and 228?
19
What is the highest common factor of 8 and 28?
4
Calculate the high
|
{
"pile_set_name": "DM Mathematics"
}
|
120 - 5*z**4/24 + 5*z**3/6 - 12*z**2. Let j(s) be the first derivative of c(s). Is j(8) prime?
False
Suppose 19*f + 18 = 25*f. Suppose x - f*n - 963 = -2*x, -5*n + 297 = x. Is x a composite number?
False
Let o(g) = 136*g - 913. Let b be o(-25). Let m(p) = 1015*p + 2. Let y be m(6). Let l = y + b. Is l a prime number?
False
Let r(i) = 2*i**3 + 10*i**2 + 87*i - 61. Is r(40) composite?
False
Suppose -135*a + 11156273 = 60*a + 38*a. Is a composite?
False
Let r = -1484 - -3947. Let m(j) = -j**3 + j**2 - j. Let g be m(1). Is g*(20/5 - r) prime?
True
Suppose 0 = 4*v + 3*x - 36297, 5*x = 5*v - 58666 + 13251. Is v + 36/6 - (-20)/(-4) a prime number?
False
Suppose -5*u + 127 = -2*x + 9388, 4*u = -20. Suppose 45 = -5*k - 5*f, k = 6*k - 4*f + 36. Is (-2)/k*2*x a composite number?
False
Let g = 78 + -70. Suppose -g*i - 3262 = 4626. Let o = -39 - i. Is o prime?
True
Let k(y) = -39*y**2 - 37*y - 8. Let b(i) = 2*i**2 + i + 2. Let p(o) = -5*b(o) - k(o). Is p(3) a prime number?
False
Suppose 113*h + 1339140 = 31*h + 9790634. Is h prime?
True
Suppose n = -2*n. Let w(a) = a**2 - 68*a - 309. Let l be w(-42). Suppose 10*u - u - l = n. Is u a composite number?
False
Let b(q) = -4*q**3 + 19*q**2 + 6. Let l(f) = 5*f**3 - 17*f**2 - 7. Let m(p) = -4*b(p) - 3*l(p). Is m(26) a prime number?
True
Let o = -33 + 27. Let j be o*1*(-4)/24. Is j*951/(-6)*-2 composite?
False
Let q(r) = r - 3. Let d be 440/60 + (-4)/3. Let j be q(d). Is 0/((-3)/j) - (-291 + -8) a composite number?
True
Suppose -3*l - 3*v = -v - 2609, -5*l + 3*v + 4323 = 0. Let k = l + 124. Is k a composite number?
False
Let v(c) = 23*c**2 + 835*c + 89. Is v(-62) a composite number?
True
Suppose 0 = 18*t - 2*t. Let z(o) = -15 + t - 1 - 447*o + 308*o. Is z(-6) composite?
True
Suppose -5*x + 3*n = -123 - 48, 2*n = 2*x - 70. Let d = x + -30. Suppose d*f = -4*i + 7*f + 1876, -3*i + f = -1401. Is i composite?
True
Let g(a) = 8*a**2 + 35*a - 38. Let n be g(-26). Suppose -894 = -r + l, -5*r + 4*l = l - n. Is r a composite number?
True
Suppose 7*w - 3*w - 3*p = -152782, -190972 = 5*w - p. Let x = -23573 - w. Is x prime?
True
Let c = -79 - -83. Suppose 15*u = c*u + 18623. Is u a prime number?
True
Let k = 79 + -54. Let j be 3 - (2 + k/(-5)). Let o(f) = 26*f**2 + 4*f - 17. Is o(j) a prime number?
False
Let d = -59943 - -89972. Is d a prime number?
True
Let h = 24 + -19. Suppose 0 = h*g - 5*v - 40, 2*v - 5*v = 12. Is 2/4*g*(-446)/(-4) a prime number?
True
Suppose -14*u - 339938 = 11*u - 1410463. Is u composite?
False
Let n = -17036 + 9544. Let q = n + 17019. Is q composite?
True
Let l = -28636 - -54091. Suppose -3*r = -0*r + l. Let g = -1292 - r. Is g a prime number?
True
Suppose -270799 = -3*m + m + i, -4*m + 541597 = -3*i. Suppose 22076 = 12*f - m. Is f a prime number?
False
Let c = 200628 - 7661. Is c composite?
True
Suppose -40*q = -2113710 - 17957164 + 411554. Is q prime?
True
Let q be (-10)/6*(-9 + 6). Suppose -2*a = -3*m + 5969, 2*m - 3*m + 5*a = -1994. Suppose -18 + 3 = 3*c, -q*c - m = -4*f. Is f prime?
True
Suppose -548*m - 12663868 = -49620440. Is m prime?
False
Let u be 35/14 - (-2 + (-5)/(-2)). Suppose 0 = -4*j + u*j + 3822. Let p = j - -28. Is p prime?
False
Let v = 419 - 403. Suppose 0 = v*s - 25*s + 16263. Is s prime?
False
Suppose -19326 = -67*j + 64*j. Let v = -3995 + j. Is v a composite number?
False
Let f be 1111/(-2)*(-1 + 0)*-2. Suppose 7790 = -3*v - 2*v. Let y = f - v. Is y composite?
True
Let i be 46/4*1*(-10)/(-5). Let w = -20 + i. Suppose -2*o + 19011 = w*v - 3*o, 5*o - 19011 = -3*v. Is v a composite number?
False
Let f be (-10)/4*(-36)/15. Is 34/(-51) - (-4222)/f a composite number?
True
Let w be (-2)/((3/(-3))/8). Suppose -w - 4 = -4*p. Suppose -p*y - 4820 = -9*y. Is y a prime number?
False
Let v(o) = 2*o + 0*o**2 + o**2 - 4*o**3 + 3*o**3 + 797. Let n(q) = q**3 - 5*q**2 - 6*q + 30. Let x be n(5). Is v(x) a prime number?
True
Let d(z) = 275*z**2 - 9*z - 7*z - 4 + 774*z**2 - 23. Is d(-2) prime?
True
Suppose 0 = -10*v - 6*v + 928. Let f = v - 56. Let k(g) = 106*g**2 - 2*g - 1. Is k(f) a composite number?
False
Let s = -354 + 350. Is ((-1)/s*-1851)/((-18)/168) a composite number?
True
Let t(y) be the second derivative of 3*y**5/10 - y**4/6 - 5*y**3/3 + 13*y**2/2 + 90*y. Is t(12) a prime number?
True
Suppose 74*x - 4048911 = -55945. Is x prime?
True
Suppose 52*r - 51*r + 4*q - 368113 = 0, r - 368113 = -q. Is r a composite number?
True
Let l be (-5)/15*-21*1. Suppose q + l*q = 12952. Suppose -q = 5*b - 5154. Is b prime?
False
Suppose 3*b - 4*n - 21 = -2*b, n + 2 = -2*b. Is (12 - 13)/(b/(-2489)) composite?
True
Let v = 66578 - -20235. Is v a composite number?
False
Let y(l) = 2065*l**2 + 207*l - 27. Is y(-14) composite?
True
Let y = 893003 + -516982. Is y a prime number?
True
Let u(y) = -2*y**2 - 34*y + 5. Let h be u(-17). Suppose 3*x = h*f - 21638, 18*f - 22*f - 3*x = -17305. Is f a composite number?
False
Let p be 11 + -5 - (-2 + 4). Suppose 3*n - 10182 = -2*r + 2547, -p*n = -4*r - 16972. Let b = n + -2586. Is b prime?
True
Let o be (-1074)/(-9)*(-165)/(-10). Let p = o - -1634. Is p composite?
True
Is 564683/6 + (23 - (-2055)/(-90)) a composite number?
True
Let z = -56915 - -83910. Is z composite?
True
Suppose 6*v + g = v + 25, -5*v = 5*g - 45. Suppose 5*f + 0*f - v*r = 469, -3*f + 2*r + 283 = 0. Is f prime?
True
Suppose -2*d + 273 = -5*d + 3*l, 5*d + 2*l = -448. Let g = d - -30. Let b = g + 751. Is b a composite number?
False
Let i be (-3 - (-8382)/(-55))/((-2)/(-10)). Let u = i + 1574. Is u a composite number?
False
Is ((-3 + 56/16)*-1)/1*-416278 composite?
False
Suppose -299320 = -2*d + 6*r, 5*r + 55251 = -2*d + 354494. Is d a composite number?
True
Suppose 16 = 4*s, 5*s + 0*s = -3*j - 34. Is 9378/j*(0 + -1) composite?
False
Let r = -1905 - -18658. Suppose -r = -17*k + 33108. Is k a prime number?
False
Suppose -790*j = -784*j - 149466. Is j a prime number?
False
Suppose -63*l + 8317330 = -98*l + 105*l. Is l a composite number?
False
Let y(d) = -d**2 + 5*d. Let v be y(1). Suppose 0 = 2*z + 10 - v, -3*z = 3*s - 6276. Is s a composite number?
True
Suppose -6*y - 38*y + 990390 = -29*y. Is y prime?
False
Let d = -19 + 18. Let c be d*(-2)/4*-8. Is 293*(2 - (c - -1)) a prime number?
False
Let w be -9 + 3 - -3 - -6. Let c(x) = 5 + x**w + 7*x + 5 + 26*x**2 - x - 2*x. Is c(-11) prime?
False
Let c = 32 + -39. Let u(z) = -z - 14. Let b be u(c). Is 6/21 + (-11849)/b a composite number?
False
Suppose -3*a + 5*q = 2, 4*q - 1 = 3*a - 0*q. Suppose -3*l = 4*x - 15, -5*l = -a - 4. Is ((-1)/(-2))/((-47692)/(-15896) - x) a prime number?
True
Let q(t) = -3*t**3 + t**2 - 3*t - 19. Suppose -d = 2*z - 13, 9*d = 5*z + 6*d - 27. Let y be q(z). Let s = y - -1800. Is s composite?
False
Let v(s) be the second derivative of -4/3*s**3 - 5/12*s**4 - 9/2*s**2 - 1/2*s**5 + 18*s + 0. Is v(-4) a composite number?
True
Let w = 137103 + -23672. Is w a composite number?
True
Is ((-13)/(195/(-6)))/(-3*2/(-1574205)) a composite number?
False
Suppose 2*v - 51 = -11. Let i = v - 15. Suppose 4*n + 2*x - 285 = 1229, -2*n - i*x + 737 = 0. Is n composite?
True
Is (2 - 0/3) + 29461 + 1 + 9 composite?
False
Suppose 0 = 14*l - 609219 - 247147. Is l a prime number?
True
Let j(a) = 3*a + 85. Let i be j(-26). Suppose -i*k + 6724 = -6331. Is k a composite number?
True
Suppose -3*m - 90*d + 143811 = -87*d, d - 191754 = -4*m. Is m a composite number?
False
Suppose -5*n + 2*r - 72438 + 533291 = 0, -4*n - 2*r + 368704 = 0. Is n a composite number?
False
Suppose 14*s = 15*s - 14. Let n = 50 - s. Is 12046/(-36)*-2 + n/(-162) a prime number?
False
Suppose 3*q - 517361 = 4*m, -517349 = -3*q - 81*m + 79*m. Is q composite?
True
Let b = 395 - 373. Suppose -7677 - 4225 = -b*m. Is m a prime number?
True
Let r(x) = x**3 + 3*x**2 - 12*x + 15. Let d be r(5). Suppose 148*u - d*u = -20671. Is u a prime number?
True
Suppose 72*k = -2422463 + 17708423. Is k prime?
False
Suppose -5*v = -5*i - 751024 + 253439, -2*i = -8. Is v a prime number?
False
Let p = -201686 - -454959. Is p composite?
False
Let y be (-2 + (-22)/(-3))/((-4)/(-6)). Suppose -y*h + 3*h = -615. Suppose -265 = -2*t + h. Is t prime?
False
Suppose -4*s + 6*s = -4*p + 205514, -4*s + 411028 = 3*p. Is s composite?
True
Let w be (2792/(-6))/(88/(-24) + 4). Let h = 115 - w. Is h composite?
False
Suppose -3*q - 3
|
{
"pile_set_name": "DM Mathematics"
}
|
aluate (66/(-15))/((528/33)/(-80)).
22
Evaluate ((-17)/((-510)/(-50)))/5.
-1/3
What is the value of ((-4)/15)/((-48)/90*(-5)/2)?
-1/5
What is -10*((-9)/66)/((-735)/(-196))?
4/11
What is the value of (13/(13/3))/9*-36?
-12
56/420*375*(-2)/20*4
-20
Evaluate ((-45)/(-2))/(-5)*(-47)/((-846)/40).
-10
What is (16/(-6))/(9/27)?
-8
What is the value of (4/52*2)/((-12)/(-6))?
1/13
Evaluate ((-20)/70*35/285)/((-1)/3).
2/19
What is ((-14)/(-10))/((-48)/80*(-5)/(-15))?
-7
What is 10/92*88/(-110)?
-2/23
What is ((1/90)/(-1))/(56/(33152/148))?
-2/45
(13020/(-7595))/((-2)/(-28))
-24
What is the value of (-6)/(-1)*-8*(-6)/72?
4
What is ((-285)/95)/((-15)/(-35))?
-7
What is the value of ((-4)/(-10))/(-22*25/6875)?
-5
Calculate ((-3525)/423)/((-30)/8)*(-3)/2.
-10/3
Calculate (9/21)/(-1)*2/(-6).
1/7
((20/(-15))/(-4))/(81/(-54))
-2/9
What is (-1)/4*(-53)/265?
1/20
(552/(-92))/(4/(-2)*1)
3
Evaluate ((-148)/(-111))/((8/4)/((-36)/(-6))).
4
What is the value of (-3)/(7/12*130/455)?
-18
What is (-1305)/87*((-400)/(-24))/10?
-25
((-340)/15)/(2*26/(-39))
17
Evaluate 3651/(-1217)*(-2)/(-2).
-3
Calculate (12/(-10))/(((-300)/(-625))/6).
-15
What is the value of (-2*(555/(-60))/37)/(5*-1)?
-1/10
Calculate ((10/72)/((-175)/980*-14))/(-1).
-1/18
What is the value of ((-24)/(-7))/3*(-1386)/(-132)?
12
What is the value of -2*(-3)/(-4)*200/150?
-2
Calculate ((-16)/(-480)*28)/((-4)/10).
-7/3
Calculate (((-405)/(-105))/(-27))/((-2)/6).
3/7
What is the value of (-1*23)/(3*40/(-120))?
23
Calculate (3/(-40)*-6)/((18/(-15))/(-2)).
3/4
What is (3129/66752)/(3/4)?
1/16
(324/(-1215))/(-4*4/(-80))
-4/3
What is (420/(-48))/(-35)*32?
8
What is 2/(-2)*(-15)/(-3)*(-28)/(-70)?
-2
((3492/(-6790))/((-6)/(-14)))/((-2)/(-25))
-15
What is 33/(-15)*330/66?
-11
Evaluate (20/4*8/(-60))/(48/(-36)).
1/2
What is the value of (-28)/(-30)*((-702)/9)/(-26)*-5?
-14
(-7)/49*(-119)/153
1/9
Calculate 5648/8119*46/12.
8/3
What is the value of 6/27*-90*20/(-50)?
8
Evaluate ((195/(-3))/(-5))/(-1)*-1.
13
What is 220/2046*31*1*2*-3?
-20
Calculate (2/(-8))/((14/(-6))/(8/(-6))).
-1/7
What is the value of (-16)/(-10)*(-282)/376?
-6/5
What is 2*3/10*506/759?
2/5
(-1*2/(-11))/((-890)/(-979))
1/5
What is the value of ((-5)/100*-5)/((-6)/24)?
-1
What is the value of (40/(-12))/((5/1)/15)?
-10
What is the value of (60/2175)/((-10)/25)?
-2/29
What is (34/68)/((-1)/16)?
-8
What is the value of ((-888)/(-2220))/((-9)/5)?
-2/9
What is ((-1)/((-63)/216))/((-12)/(-896)*8)?
32
Evaluate (3/(-24))/((30/10)/(-216)).
9
Calculate (92/230)/(14/7).
1/5
2718/(-755)*(-5)/(-2)
-9
Calculate ((-2)/6)/((-30)/10)*1.
1/9
Evaluate ((-870)/3190)/(1/55).
-15
What is 1*10*-7*30/1050?
-2
What is the value of (221/8619)/(2/(-18))?
-3/13
Calculate (441/(-21))/(40/(-60))*(-4)/6.
-21
Calculate (92/(-32))/(186/1488).
-23
What is 16*60/1280*16/42?
2/7
What is the value of ((-30)/(-450)*30)/((-2)/20)?
-20
Calculate (84/(-63))/(3/(-12)*(-32)/(-42)).
7
What is the value of (11/121)/((105/140)/(18/(-4)))?
-6/11
What is the value of (2/30)/((-16)/16)?
-1/15
What is ((-36)/(-192))/(198/(-24))?
-1/44
Calculate 0/(-9)*(-5)/65.
0
Calculate ((-1)/39)/(21/378*-6).
1/13
Calculate ((-3)/5)/((-704)/(-320)).
-3/11
(-18)/(8/(-2)*-2)
-9/4
What is (153/(-102)*40/(-15))/(202/1)?
2/101
Calculate (-1)/(12/18*3/(-12)*-6).
-1
Calculate (2/(-4))/(((-5)/(-250))/((-12)/30)).
10
(-2)/(4/((-2)/((-7)/(-35)*5)))
1
Calculate -15*(-1)/(330/308).
14
Evaluate -3*((-6)/(-18)*3)/13.
-3/13
Evaluate ((-32)/32)/(6/(-54)).
9
(406/609)/(2/(-33))
-11
What is the value of (8/(-24))/(16/12)?
-1/4
What is the value of ((-3)/(-42))/((-3)/((-54)/9))?
1/7
Evaluate (27*36/6804)/(6/147).
7/2
Evaluate 372/651*(-14)/(-4).
2
(-9760)/50752*(48/5)/(-4)
6/13
Evaluate ((-1526)/1090)/((-14)/(-4)).
-2/5
Calculate (2*(-182)/28)/(-1).
13
Calculate 9/(-14*18/(-168)).
6
What is ((-2)/6)/(579/(-193))?
1/9
Evaluate ((-4)/(-6))/((-27)/(1701/18)).
-7/3
Calculate (-210)/(-360)*18/(-168).
-1/16
Calculate (5/(-280)*-12)/((-2475)/330).
-1/35
-4*7/189*(-126)/(-21)
-8/9
Evaluate (-3040)/(-14896)*(-210)/(-25).
12/7
What is 329/47*(-10)/(-14)?
5
What is the value of (13/(-182)*0/(-1))/((-2)/2)?
0
What is (10/(-24))/((42/(-12))/(-7))*-6?
5
((-6)/(-40))/(141/(-705))*(-4)/(-15)
-1/5
What is the value of (-1)/(((-23)/14)/(-23))?
-14
Calculate (-2)/9*-3*(-306)/(-204)*-7.
-7
What is (5*(-3)/105)/((-8)/(-14))?
-1/4
Evaluate -1*(-4)/18*((-366)/12)/(-61).
1/9
Evaluate (10*-4*8/256)/(49/112).
-20/7
Calculate -55*8*90/(-1200).
33
Calculate (12/(-18))/((-12)/21*70/(-60)).
-1
Calculate (217/(-56))/(1/(160/(-20))).
31
What is (-10)/4*(-412)/(-515)?
-2
What is the value of (68/(-20))/(64/320)?
-17
Evaluate 126/14*(-22)/330.
-3/5
Calculate 7/(-98)*(-102)/17.
3/7
Calculate (-10)/3*624/416.
-5
What is 6/(-2)*70/714*17?
-5
Calculate (-12)/130*172/129*(-5)/4.
2/13
What is 370/(-4)*-6*((-32)/2)/(-240)?
37
Calculate (2*2)/(844/(-1055)).
-5
What is (-10)/((1/(-2))/(65/52))?
25
Calculate 0/(22*35/110).
0
What is 512/(-128)*9/2?
-18
(-3045)/290*2/6*(-6)/14
3/2
What is the value of (-840)/30*4/(-16)?
7
What is the value of 16/(-160)*(-13)/(182/(-140))?
-1
What is the value of (78/52)/(((-2)/(-3))/2)?
9/2
(16/(-644))/(118/(-413))
2/23
Calculate ((-216)/(-8))/(((-75)/10)/5).
-18
Calculate 2/(-26)*(-612)/459*(-6)/4.
-2/13
What is ((-1)/(6/(-4)))/((112/(-4))/(-924))?
22
What is ((8/8*-6)/(-1))/(-22)?
-3/11
What is the value of (4*3/234)/((-71)/639)?
-6/13
(-28050)/425*1/6
-11
What is the value of (6/32)/(8/(3024/81))?
7/8
What is (1/4)/(12/(-720)*15)?
-1
What is 60/(-24)*(-2)/10*-2?
-1
What is the value of ((80/8)/5)/((5/(-7))/(-5))?
14
Calculate ((36/24)/(-1))/(((-49)/7)/7).
3/2
What is the value of 9/(-6)*-2*-1*434/7161?
-2/11
Calculate (550/33)/(-25)*12/(-5).
8/5
Evaluate (-91)/26*(-40)/70.
2
(-10)/(-30)*300/(-20)
-5
What is the value of (-144)/(-128)*(4/36*-21)/(-1)?
21/8
(-74)/((-2590)/35)*(-2)/(-16)
1/8
Evaluate (234/390)/((-42)/20).
-2/7
Evaluate (-3)/48*(-240)/45*3.
1
Calculate (-1)/3*-4*225/(-60).
-5
(-1*(-18)/12)/(95/(-380))
-6
Calculate -6*((-136)/12)/(-17).
-4
(-1562)/781*(-9)/10
9/5
(16/96*6)/((2/(-18))/1)
-9
Calculate (-4)/9*27/(-45)*495/(-66).
-2
Evaluate (1034/(-5170))/(1/25).
-5
Evaluate (((-3822)/112)/21*-8)/(1/2).
26
Calculate (4/(-10))/(12/40)*(-840)/2016.
5/9
What is (-10)/(-2)*64/128?
5/2
Calculate (63/12*-2)/3*-4.
14
3606/2404*4/18
1/3
What is (30/4)/(5*(-27)/324)?
-18
Evaluate (-5)/((-35)/(-42))*8/6.
-8
What is (105/(-28))/(-3)*5/(125/(-30))?
-3/2
Calculate (-26)/65*((-10)/(-132))/((-13)/117).
3/11
What is (-188)/2867*(-2)/(-4)?
-2/61
Evaluate ((-9)/(648/(-60)))/(3/4).
10/9
What is the value of 2/1*1*(4464/62)/1944?
2/27
Evaluate (24/(-9))/(-2)*51/(-34).
-2
((-105)/((-4200)/(-16)))/(6/435)
-29
What is the value of (-2)/6375*-15*5?
2/85
((-18)/63)/(4/(-8))
4/7
Calculate (-230)/(-138)*6*3/(-6).
-5
What is the value of (-20)/3*14*33/308?
-10
What is the value of (16/(-168))/((((-8)/(-6))/(-2))/2)?
2/7
What is ((-53136)/(-116235))/(48/14)?
2/15
Calculate -12*(-2)/(((-168)/140)/(3/(-20))).
3
Calculate (7/(-28))/((-12)/(-1392)).
-29
What is (-171843)/7014*4/(-14)*3?
21
What is (21/(-7))/(-1*7)*(-6)/9?
-2/7
Evaluate (-28)/7*(-3)/(-5)*(-24)/(-72).
-4/5
What is 10/(-960)*-16*(-1)/(2/(-1))?
1/12
Evaluate (30/198)/((-9)/(-54)*15).
2/33
((-2)/3)/((4/9)/((-253)/(-1012)))
-3/8
What is the value of -2*(1*2)/(6/3*-1)?
2
Calculate (-9)/28*128/192.
-3/14
What is (5/((-125)/(-10)))/((2323/2070)/(-101))?
-36
Calculate (-190)/(-133)*21*(-2)/14*7.
-30
Evaluate (5/(40/(-6)))/((-2940)/(-160)).
-2/49
What is ((-96)/14)/(1410/4935)?
-24
What is 4*(-4)/8*(-52)/(-104)?
-1
3*(-575)/(-30)*8/20*-1
-23
What is 2*(-2)/(-8)*-2*7294/(-18235)?
2/5
What is (-18)/30*20/18?
-2/3
Calculate ((-7*(-24)/(-756))/(-2))/(1/(-2)).
-2/9
Calculate (7/42)/(49/(-294)).
-1
What is the value of (696/(-1624))/((-3)/77)?
11
What is (-28)/(-49)*3*14/(-60)?
-2/5
What is 1239/472*(-40)/(15/(-3))?
21
What is (-84)/(-28)*13/((-65)/15)?
-9
((-377)/1508)/((-2)/88)
11
What is the value of 3*(-8)/((-8)/(-3))?
-9
What is (-5)/46*(-492)/(-615)?
-2/23
-1*(6/((-48)/8))/(6/(-15))
-5/2
Calculate -3*(115/15)/(-23)*(-2)/2.
-1
(-169*20/1820)/(-2*(-3)/21)
-13/2
((-5)/(-30))/(13/3861*11*-1)
-9/2
What is (61/((-21960)/2835))/((-6)/4)?
21/4
Calculate ((-21)/2499*-17)/((-5)/(-25)).
5/7
What is the value of
|
{
"pile_set_name": "DM Mathematics"
}
|
35
Let v be 20/(-3)*30/(-8). Calculate the least common multiple of ((-10)/v)/((-1)/10) and 10.
20
Let r be 9/2*8/(-6). Let l be 0/2*(-3)/r. Suppose j - 57 = -4*m, 3*j = -4*m - l*j + 59. Calculate the least common multiple of 12 and m.
84
Suppose -2*r + 1137 = -a, r + 4*r = -5*a - 5745. Let m be 2/3 - a/(-3). Calculate the common denominator of m/(-210) + 2/5 and -111/22.
154
Suppose -p - 3*p = -8. What is the smallest common multiple of (-19)/76*(0 + -28) and p?
14
Let z = 218/3 + -65. Calculate the common denominator of z and ((-1)/20)/(3/498).
30
Calculate the common denominator of (-92)/207 + 344/45 and 13/32.
160
Let d(i) = 3*i + 5. Let w be d(7). Suppose -10 - w = -4*y. Let r = 0 - -4. Calculate the lowest common multiple of y and r.
36
Let o be 8/20 - (-56)/10. Calculate the common denominator of (-60)/21*49/o and 99/4.
12
Let o be (-624)/(-36)*6/(-868). Let g = o + -7561/3906. Calculate the common denominator of 99/8 and g.
72
Let a = -2560 - -12738/5. What is the common denominator of a and -85/2?
10
Suppose 20 - 48 = -4*t. Suppose -b = 2*b + 3*y - 21, -2*b - t = -5*y. Calculate the lowest common multiple of 10 and b.
20
Let l be (-2)/6 + (-106)/6. What is the common denominator of 19/l - (-2)/(-9) and 29/16?
144
Let m(o) = 2*o + 0*o + o - 4*o + 2*o**3. Suppose 0 = -4*p + 1 + 7. Calculate the least common multiple of m(p) and 6.
42
Suppose 28 = y - 2. What is the smallest common multiple of y and 22?
330
Let q(x) = -6*x - 12. Let j be q(-9). Calculate the lowest common multiple of j/15 - (-2)/10 and 1/(-5) + (-182)/(-35).
15
Let l(v) = 5*v**3 - v - 1. Let r be l(-1). Let h(k) = k**2 + 3. Let d be h(r). Find the common denominator of 31/14 and (-8)/d*(-322)/72.
126
Let j = -6140 + 86001/14. Let d(o) = -2*o**2 + o + 1. Let l be d(0). Calculate the common denominator of (l/(-20))/(2/(-212)) and j.
70
Let o(a) = 626*a - 8. Let w be o(9). Let g = w - 2870. Calculate the common denominator of g/360 + (-4)/(-10) and 53/18.
18
Calculate the common denominator of 51/8 and 3/(54/92) - 6/3.
72
Suppose 0 = -5*p - 5*w + 25, -w = -4*p + 6 + 19. Let v = -13 - -21. Calculate the least common multiple of p and v.
24
Calculate the smallest common multiple of 0/(-2) + 3 + -1 and 2/(1 - (-3)/(-6)).
4
Let w = -11 - -28. Suppose 4*g - 77 = -i - w, 4*i - 177 = 5*g. Suppose -4*j = -0*j - i. Calculate the lowest common multiple of j and 6.
12
Let d = -2 + 3. Calculate the lowest common multiple of d + (-2)/3*-6 and 2.
10
Let n be ((-12)/(-5))/(2/10). Let s = -4 + n. Calculate the smallest common multiple of s and 2.
8
Suppose 0 = -4*h + 8*h - 8. Calculate the least common multiple of 16 and h.
16
Suppose -x - 3 = 1, -x - 2 = 2*n. Suppose l - n = 5. What is the least common multiple of 8 and l?
24
Let g(v) = 7*v - 2. Let r(f) = 8*f - 2. Let b(p) = 5*g(p) - 4*r(p). Calculate the smallest common multiple of 1 and b(3).
7
Let z = -2903 + 28969/10. Suppose -q = -4*q - 777. Find the common denominator of z and 1/3 + q/(-6).
10
Let j(w) = -w**3 - w + 6. Calculate the lowest common multiple of j(0) and -2 + (-4 - -3 - -8).
30
Suppose n + 11 = -3*m, 5*n - 5*m + 143 = -12. Let w = n - -37. Calculate the smallest common multiple of w and 11.
11
Let b = 14 + -10. Let j = -1 + b. What is the least common multiple of 8 and j?
24
What is the common denominator of 119/12 and 6/27*(-52)/(-12)?
108
Let u = 4 - 5. Calculate the least common multiple of (2/(-4))/u*10 and 7.
35
Suppose j = -t + 17, -4*t + 0*j + 2*j = -74. Calculate the smallest common multiple of t and 6.
18
Let w = -9140670459/7981534 - -2/362797. Let d = w - -1145. What is the common denominator of d and ((-21)/2 + 0)/(-16 + 19)?
22
Suppose 0 = -3*s - s + 5*y + 18, 2*y = -5*s + 6. Calculate the smallest common multiple of s and 14.
14
Let s(m) = -m**3 - 4*m**2 + m + 4. Let c be s(-4). Suppose c = -5*n - 3 + 53. Suppose -2*b + b + 8 = 0. What is the least common multiple of b and n?
40
Let m = -17601465/62352433 + -2/298337. Calculate the common denominator of m and -113/10.
2090
Find the common denominator of -2 + 4 + 252/40 and -57/14.
70
Let m = 2932/3 - 47077/48. Let q be -1*(-1)/(1/(-499)). Calculate the common denominator of (-2)/(-7) + q/(-140) and m.
80
Let s(k) = -2*k**2 + 5*k + 2. Let n(h) = -10*h**2 + 26*h + 11. Let z(m) = 2*n(m) - 11*s(m). What is the least common multiple of 5 and z(2)?
10
What is the lowest common multiple of -1 + 10/6 - (-250)/30 and 18?
18
Let y = 4 + 0. What is the common denominator of -59/4 and (3/150)/(y/130)?
20
Let r = 2/1915 - 135973/7660. What is the common denominator of r and -2 - (0 + (-65)/14)?
28
Let u be (-4)/(-14) + (-317844)/(-42). Let d = 75577/10 - u. Find the common denominator of d and -89/6.
30
Let x = 4 - 5. Let z(l) = -21*l + 1. Calculate the least common multiple of 8 and z(x).
88
Calculate the least common multiple of (-2)/(-4) - 279/(-18) and 20.
80
Let n = -4 - -14. What is the smallest common multiple of 10 and n?
10
Let d be 20/6*3/2. Let j be (1 + d)*(1 + -2). Calculate the least common multiple of 2 and (-24)/10*20/j.
8
Let o = 12 - -4. What is the lowest common multiple of o and 16?
16
Calculate the smallest common multiple of (2/(-4))/((-3)/108) and 6.
18
Let u = -357349657/38096 - 6123/2381. Suppose 5*x - 31077 = 15868. Let k = u + x. Calculate the common denominator of 25/4 and k.
16
Let h = 14 - 23. Calculate the common denominator of -5/9 and h/3 + (-83)/(-3).
9
Suppose -5*m = 2*x - 41, 0*m = -3*x - m + 29. Suppose 3*a = 3, -l - 2*a + 5 = 1. What is the least common multiple of l and x?
8
Let q(h) = -h**3 + 7*h**2 - 5*h + 5. Let d = -9 - -15. Calculate the least common multiple of q(d) and 1.
11
Let x(j) = j**3 - 5*j**2 - 6*j + 8. Let m be x(5). Let c = 34 + m. Calculate the lowest common multiple of 16 and c.
48
Suppose q - 2*q = 2. Let p be (q*1)/(6/(-36)). Calculate the common denominator of 61/2 and (267/192 + -1)*p.
16
What is the common denominator of (-5)/35 - (-202)/(-56) and 41/4?
4
Let c = -30 + 36. What is the lowest common multiple of c and 4?
12
Calculate the common denominator of -79/6 and (-426)/8*4/(-36).
12
What is the common denominator of 2/48*-22*(-42)/(-4) and 109*(-1 + 30/28)?
56
Suppose -1 - 5 = -y. Calculate the smallest common multiple of y and 4.
12
What is the common denominator of (-4)/(-3)*(-72)/(-448) and 59/16?
112
Let r = 8595899 - 163259656/19. Let n = -3283 + r. What is the common denominator of -76/3 and n?
57
Suppose 5*d - 7 = 8, 4*w = 5*d - 75. Let n = -7 - w. Calculate the least common multiple of 4 and n.
8
Let v be -9 + -3 + (-4)/(-2). Calculate the lowest common multiple of (-3)/((-14)/v - 2) and 11.
55
Let v be 37/(-4) - (-5)/20. Let i be (24/v)/(2/(-3)). Let k = 1 + i. What is the least common multiple of k and 8?
40
Let g = -22373/3 + 33409/6. Let p = g - -1931. Find the common denominator of p and 6/4*(-3)/4*5.
8
Let y be -1*(-349845)/66 + 2. Let v = -5299 + y. What is the common denominator of 137/6 and v?
66
Let q(y) = -11*y**2 - y. Let b be q(1). Let t = -9 - b. Calculate the smallest common multiple of t and 3.
3
Let n be 2 - (0 + (-9)/3). Calculate the lowest common multiple of 8 and n/(-10) - (-99)/6.
16
Suppose 20 = -4*d + 5*d. Calculate the lowest common multiple of 12 and d.
60
Let t = 1991/8 - 247. Find the common denominator of t and -131/12.
24
Let j = -248/41 + 5387/328. What is the common denominator of (-153)/(-24)*4/(-18) and j?
24
Let q(c) = -c**3 + c**2 - c + 401. Let n be q(0). Let f = n + -2866/7. What is the common denominator of f and (-58)/15 + 3/(-9)?
35
Let y = -36/103 + -5501/1648. Calculate the common denominator of y and 7/2.
16
Let g be 7/2 + (-1)/2. Suppose -3*y - 17 = k, g*k - 9 = 3*y - 0*y. What is the smallest common multiple of 5 and k/6 + 7/3?
10
Let r(g) = -5*g**2 - g. Let j be r(-1). Let q(i) = -i**3 - 5*i**2 - 4*i + 1. What is the smallest common multiple of (-9)/(-21) - 180/(-21) and q(j)?
9
Let o(w) = -w**2 - 3*w + 3. Suppose -5*u - z + 30 = 0, z = 5*u + 5*z - 30. Calculate the least common multiple of u*((-30)/(-9) - 2) and o(-3).
24
Suppose 3*f + 9 = 4*f. Calculate the smallest common multiple of 24 and f.
72
Let u be (1/((-2)/(-8)))/2. Suppose u = 2*v - 14. Calculate the least common multiple of v and 13.
104
Let d = 1032 - 113519/110. Let q = -742/55
|
{
"pile_set_name": "DM Mathematics"
}
|
rob of picking 1 s and 2 q?
7/136
What is prob of picking 3 y when three letters picked without replacement from {s: 2, g: 1, r: 1, j: 1, y: 3, t: 3}?
1/165
Three letters picked without replacement from ccccmcicccmiiimi. What is prob of picking 1 i, 1 c, and 1 m?
3/14
What is prob of picking 4 p when four letters picked without replacement from ppppp?
1
Two letters picked without replacement from {e: 4, s: 2, o: 1}. What is prob of picking 2 s?
1/21
Calculate prob of picking 2 i and 2 u when four letters picked without replacement from {k: 2, l: 4, i: 4, u: 4}.
36/1001
Calculate prob of picking 1 l and 1 z when two letters picked without replacement from lhpxhhzppplp.
1/33
Two letters picked without replacement from uvvviiuviuv. What is prob of picking 2 u?
3/55
Two letters picked without replacement from {s: 1, f: 2, v: 3, m: 3, q: 1, o: 3}. Give prob of picking 1 v and 1 q.
1/26
Four letters picked without replacement from kpapkpupkpuhpuuwhk. What is prob of picking 1 w, 1 u, and 2 k?
2/255
Three letters picked without replacement from mfgfgfffkffcffff. What is prob of picking 2 f and 1 c?
11/112
Calculate prob of picking 1 k and 1 w when two letters picked without replacement from pukupupywyuu.
1/66
Calculate prob of picking 1 m and 1 e when two letters picked without replacement from emx.
1/3
Four letters picked without replacement from khhbhwkhbbwhh. What is prob of picking 1 h, 1 k, and 2 w?
12/715
Two letters picked without replacement from kxnknknkxnxnnnhnnkh. What is prob of picking 2 n?
4/19
Three letters picked without replacement from pppfipjpi. Give prob of picking 3 p.
5/42
What is prob of picking 2 p when two letters picked without replacement from {c: 9, p: 2}?
1/55
Calculate prob of picking 1 p and 1 k when two letters picked without replacement from {k: 2, p: 1, r: 1}.
1/3
Calculate prob of picking 3 w and 1 p when four letters picked without replacement from wwpwwwwwwwpwpwwwwwww.
8/19
Calculate prob of picking 1 e and 1 j when two letters picked without replacement from eujle.
1/5
Three letters picked without replacement from {t: 5, p: 2, w: 8, y: 1, k: 2}. Give prob of picking 1 k and 2 t.
5/204
Four letters picked without replacement from eqisieqeeeiteexxitqq. What is prob of picking 1 i, 1 e, and 2 t?
28/4845
Four letters picked without replacement from {a: 2, l: 4, v: 1, u: 1, t: 2, k: 7}. Give prob of picking 1 v and 3 k.
1/68
Four letters picked without replacement from {x: 1, j: 8, c: 6}. What is prob of picking 1 x and 3 c?
4/273
Two letters picked without replacement from {n: 3, i: 2}. What is prob of picking 1 n and 1 i?
3/5
What is prob of picking 1 d and 1 v when two letters picked without replacement from edwvipp?
1/21
Three letters picked without replacement from {w: 1, k: 2, s: 3, o: 3, d: 1, z: 2}. Give prob of picking 1 k, 1 o, and 1 d.
3/110
Calculate prob of picking 1 o and 1 h when two letters picked without replacement from bhjlo.
1/10
What is prob of picking 2 g and 1 k when three letters picked without replacement from {f: 1, g: 3, k: 1}?
3/10
What is prob of picking 2 e and 2 b when four letters picked without replacement from {e: 7, b: 5, w: 1}?
42/143
What is prob of picking 2 g and 2 c when four letters picked without replacement from gggggggckcgkgggggcgg?
21/323
Four letters picked without replacement from mccqcqcocqoqocro. What is prob of picking 2 o and 2 q?
9/455
What is prob of picking 1 j and 1 z when two letters picked without replacement from mjmjjjqzj?
5/36
What is prob of picking 2 b when two letters picked without replacement from {w: 3, b: 7}?
7/15
What is prob of picking 2 s and 2 m when four letters picked without replacement from {g: 4, b: 1, s: 2, m: 3}?
1/70
Three letters picked without replacement from wowwwlo. Give prob of picking 1 w and 2 o.
4/35
What is prob of picking 1 t and 1 u when two letters picked without replacement from tptutdtk?
1/7
Three letters picked without replacement from {o: 3, n: 2, g: 5}. What is prob of picking 2 g and 1 o?
1/4
Calculate prob of picking 1 b and 3 t when four letters picked without replacement from {e: 4, x: 2, b: 1, t: 4}.
2/165
Calculate prob of picking 1 g and 1 e when two letters picked without replacement from {a: 7, r: 1, g: 4, e: 1}.
2/39
Two letters picked without replacement from mcmcc. What is prob of picking 2 m?
1/10
Two letters picked without replacement from {r: 5, l: 7}. Give prob of picking 2 l.
7/22
Two letters picked without replacement from {p: 1, x: 19}. What is prob of picking 1 x and 1 p?
1/10
Calculate prob of picking 3 w and 1 t when four letters picked without replacement from {x: 3, j: 2, y: 1, t: 4, e: 4, w: 6}.
16/969
Calculate prob of picking 1 v and 2 q when three letters picked without replacement from qbvcqaqqa.
1/14
What is prob of picking 3 d when three letters picked without replacement from ddgddddgddddddggddd?
455/969
Calculate prob of picking 3 k when three letters picked without replacement from {t: 8, k: 3}.
1/165
Two letters picked without replacement from pdfftop. What is prob of picking 1 f and 1 p?
4/21
Three letters picked without replacement from {l: 2, m: 5, s: 4}. What is prob of picking 3 m?
2/33
What is prob of picking 1 s, 1 y, and 1 u when three letters picked without replacement from syysysuyssyusss?
16/91
Calculate prob of picking 4 v when four letters picked without replacement from vvvvvlvlvvvvvvvvvvv.
35/57
Four letters picked without replacement from sslls. Give prob of picking 2 s and 2 l.
3/5
Four letters picked without replacement from {n: 2, z: 4, g: 7}. What is prob of picking 1 n and 3 z?
8/715
Calculate prob of picking 1 s and 3 j when four letters picked without replacement from jmjuujusums.
1/165
Four letters picked without replacement from {d: 4, q: 2, x: 2, h: 3, z: 2}. What is prob of picking 1 x, 1 d, 1 z, and 1 q?
32/715
Calculate prob of picking 2 m when two letters picked without replacement from ymmmmymmmmm.
36/55
What is prob of picking 3 v when three letters picked without replacement from usyssvvnxvxs?
1/220
What is prob of picking 1 s, 1 i, and 1 n when three letters picked without replacement from {s: 7, n: 4, i: 7}?
49/204
Three letters picked without replacement from mmhghmhmmmggmgmhgmma. Give prob of picking 1 a and 2 m.
3/76
Three letters picked without replacement from {s: 2, g: 4, a: 3, r: 1}. What is prob of picking 1 r and 2 s?
1/120
What is prob of picking 1 c and 2 v when three letters picked without replacement from qvqcvvvqcqvqq?
10/143
Two letters picked without replacement from {z: 1, k: 2, w: 1, f: 2, c: 2}. Give prob of picking 2 c.
1/28
Four letters picked without replacement from {u: 1, a: 1, g: 1, t: 2, v: 1, j: 1}. What is prob of picking 1 j, 1 u, 1 t, and 1 a?
2/35
Two letters picked without replacement from mmccnme. What is prob of picking 1 m and 1 e?
1/7
What is prob of picking 1 q, 1 x, and 1 r when three letters picked without replacement from {x: 2, r: 1, d: 5, w: 2, o: 2, q: 1}?
1/143
Four letters picked without replacement from {k: 1, a: 2, z: 8, x: 9}. Give prob of picking 1 z, 2 x, and 1 a.
192/1615
Four letters picked without replacement from {l: 1, z: 3, v: 5}. What is prob of picking 4 v?
5/126
Four letters picked without replacement from {s: 2, t: 4, g: 3}. Give prob of picking 1 g, 2 s, and 1 t.
2/21
Three letters picked without replacement from {q: 8, h: 2}. What is prob of picking 2 h and 1 q?
1/15
Calculate prob of picking 1 s and 1 i when two letters picked without replacement from yqqiiiqiqiyqyyqis.
3/68
Two letters picked without replacement from jjkjjkkkkkkj. What is prob of picking 1 j and 1 k?
35/66
Two letters picked without replacement from {d: 1, r: 5, z: 2, y: 1, g: 2, h: 6}. Give prob of picking 1 g and 1 d.
1/68
Four letters picked without replacement from {z: 2, x: 3}. Give prob of picking 1 z and 3 x.
2/5
What is prob of picking 3 g and 1 w when four letters picked without replacement from {p: 1, g: 2, u: 2, j: 1, w: 1, x: 1}?
0
Four letters picked without replacement from {l: 12, m: 6}. Give prob of picking 2 l and 2 m.
11/34
What is prob of picking 2 b when two letters picked without replacement from {n: 4, b: 3}?
1/7
What is prob of picking 1 b and 1 s when two letters picked without replacement from i
|
{
"pile_set_name": "DM Mathematics"
}
|
without replacement from {u: 6, d: 3, r: 6, h: 2, s: 3}.
3/95
What is prob of sequence iiii when four letters picked without replacement from iiqi?
0
Calculate prob of sequence erb when three letters picked without replacement from {r: 4, u: 1, e: 4, b: 1}.
1/45
Calculate prob of sequence uu when two letters picked without replacement from rusrrrsrrsruusru.
1/20
Calculate prob of sequence pm when two letters picked without replacement from {p: 4, b: 1, m: 2, w: 1}.
1/7
Calculate prob of sequence zwz when three letters picked without replacement from rrztrrrrrrrrrwz.
1/1365
Three letters picked without replacement from {k: 1, s: 3}. What is prob of sequence sks?
1/4
What is prob of sequence jnj when three letters picked without replacement from {j: 6, n: 4}?
1/6
Calculate prob of sequence ssss when four letters picked without replacement from {s: 5, g: 11, k: 2, n: 2}.
1/969
Four letters picked without replacement from {v: 1, u: 1, j: 2, e: 13}. What is prob of sequence evej?
13/2380
Calculate prob of sequence gyxf when four letters picked without replacement from yyxfayg.
1/280
Calculate prob of sequence yu when two letters picked without replacement from {y: 1, u: 11, q: 2}.
11/182
Three letters picked without replacement from ydydyyyy. Give prob of sequence ddy.
1/28
What is prob of sequence lo when two letters picked without replacement from uqluulqkotq?
1/55
Two letters picked without replacement from azzsn. Give prob of sequence zn.
1/10
Two letters picked without replacement from {i: 6, g: 2, e: 1, x: 5, p: 1}. What is prob of sequence px?
1/42
Two letters picked without replacement from rrrrrkkrr. Give prob of sequence rk.
7/36
Two letters picked without replacement from {w: 3, p: 5}. Give prob of sequence ww.
3/28
Four letters picked without replacement from {h: 3, q: 3, v: 2, z: 1, a: 1, n: 1}. Give prob of sequence havh.
1/660
What is prob of sequence fcm when three letters picked without replacement from fmcdq?
1/60
What is prob of sequence ppp when three letters picked without replacement from {p: 4}?
1
Three letters picked without replacement from qvqqvyyprvrqqpp. Give prob of sequence rry.
2/1365
Two letters picked without replacement from vvtaqdm. What is prob of sequence mq?
1/42
What is prob of sequence ww when two letters picked without replacement from wwewwee?
2/7
Calculate prob of sequence cd when two letters picked without replacement from biiijjscicsdsci.
1/70
Four letters picked without replacement from {w: 3, t: 2, l: 3, q: 1, m: 1}. Give prob of sequence mttw.
1/840
Three letters picked without replacement from {w: 1, u: 1, v: 1, h: 2, j: 2}. What is prob of sequence hjh?
2/105
What is prob of sequence vl when two letters picked without replacement from {d: 3, b: 4, s: 4, l: 1, x: 1, v: 2}?
1/105
Four letters picked without replacement from {z: 14, m: 5}. Give prob of sequence zmzz.
455/3876
Calculate prob of sequence suou when four letters picked without replacement from ussouuoououso.
5/286
What is prob of sequence hhdt when four letters picked without replacement from hhtdd?
1/30
Two letters picked without replacement from ylfxyylcqfcy. What is prob of sequence fq?
1/66
Two letters picked without replacement from tssbbbasbtbabsy. Give prob of sequence bt.
2/35
What is prob of sequence szp when three letters picked without replacement from nnprrvvzznnrrnvsnrs?
2/2907
Calculate prob of sequence ndj when three letters picked without replacement from {h: 3, j: 4, n: 4, d: 6}.
2/85
Four letters picked without replacement from hhkhkkhhkk. What is prob of sequence kkkh?
5/84
Three letters picked without replacement from {a: 1, p: 3}. What is prob of sequence ppp?
1/4
Three letters picked without replacement from {y: 2, e: 6, v: 5}. What is prob of sequence yvv?
10/429
Two letters picked without replacement from ogbogoogbgbgbgg. What is prob of sequence ob?
8/105
Calculate prob of sequence eeee when four letters picked without replacement from {e: 7}.
1
Two letters picked without replacement from gglugglglugg. Give prob of sequence ug.
7/66
Calculate prob of sequence xix when three letters picked without replacement from {b: 1, i: 1, x: 3}.
1/10
What is prob of sequence cnn when three letters picked without replacement from nncnncnn?
5/28
What is prob of sequence gg when two letters picked without replacement from qfffigfzijifzfgjq?
1/136
Calculate prob of sequence qq when two letters picked without replacement from qqqoqqoqqoo.
21/55
Three letters picked without replacement from qqqqqqqeqqqqqqq. Give prob of sequence qqq.
4/5
Calculate prob of sequence bf when two letters picked without replacement from fssbuosbbfc.
3/55
Calculate prob of sequence xox when three letters picked without replacement from {x: 9, e: 2, m: 3, o: 3, b: 1, a: 1}.
12/323
What is prob of sequence mht when three letters picked without replacement from {j: 2, t: 3, k: 3, h: 3, e: 1, m: 2}?
3/364
What is prob of sequence bbb when three letters picked without replacement from {v: 8, x: 1, b: 10}?
40/323
What is prob of sequence eb when two letters picked without replacement from {g: 1, e: 1, b: 17}?
17/342
Three letters picked without replacement from ooioocoiocoicooooi. What is prob of sequence oic?
11/408
Two letters picked without replacement from {y: 1, l: 3, v: 1, c: 1, b: 1}. What is prob of sequence yl?
1/14
Two letters picked without replacement from {o: 4, p: 3, q: 2}. Give prob of sequence po.
1/6
Three letters picked without replacement from sfanasnasanansnnfa. Give prob of sequence fss.
1/204
Two letters picked without replacement from {f: 1, r: 2, x: 1, w: 3}. What is prob of sequence fr?
1/21
Calculate prob of sequence bbb when three letters picked without replacement from {l: 4, b: 15}.
455/969
Two letters picked without replacement from {c: 4, u: 4, s: 2, b: 1, w: 1, k: 2}. Give prob of sequence wu.
2/91
Calculate prob of sequence sxjs when four letters picked without replacement from xjjzzjzsxsz.
1/660
Three letters picked without replacement from nnnnnnnnnnnonntnoonn. Give prob of sequence noo.
4/285
Two letters picked without replacement from lzzzlllllll. What is prob of sequence ll?
28/55
Three letters picked without replacement from {v: 2, c: 3}. Give prob of sequence ccv.
1/5
Two letters picked without replacement from sxsxxddxxdxxsddds. Give prob of sequence dd.
15/136
Three letters picked without replacement from vddddvdvddvdvsddd. Give prob of sequence vdd.
55/408
Four letters picked without replacement from {a: 1, r: 1, g: 1, t: 3, e: 6}. Give prob of sequence geae.
1/396
Calculate prob of sequence sbbs when four letters picked without replacement from {b: 3, s: 11}.
5/182
Three letters picked without replacement from cidii. Give prob of sequence iii.
1/10
Two letters picked without replacement from yycynyynccc. Give prob of sequence yy.
2/11
Calculate prob of sequence jb when two letters picked without replacement from bbbwwjbbtjb.
6/55
What is prob of sequence dr when two letters picked without replacement from {w: 1, r: 6, p: 10, t: 1, d: 2}?
3/95
Two letters picked without replacement from tbbbbabaa. Give prob of sequence bb.
5/18
What is prob of sequence vw when two letters picked without replacement from {h: 4, w: 6, v: 4}?
12/91
Four letters picked without replacement from llllll. Give prob of sequence llll.
1
Four letters picked without replacement from nnotot. What is prob of sequence tntn?
1/90
Calculate prob of sequence xgxg when four letters picked without replacement from {x: 4, m: 5, t: 7, g: 2}.
1/3060
Four letters picked without replacement from {x: 1, i: 1, h: 1, m: 2, a: 1, q: 2}. What is prob of sequence qhqx?
1/840
Two letters picked without replacement from izzzzizizzizzz. What is prob of sequence zi?
20/91
Calculate prob of sequence noh when three letters picked without replacement from ozohzhnlj.
1/126
Calculate prob of sequence qpq when three letters picked without replacement from {o: 7, h: 1, q: 8, d: 1, p: 2}.
56/2907
Two letters picked without replacement from {i: 1, x: 4, q: 6, f: 2}. What is prob of sequence qi?
1/26
Four letters picked without replacement from {a: 5, q: 11}. What is prob of sequence aqaa?
11/728
What is prob of sequence lxxl when four letters picked without replacement from
|
{
"pile_set_name": "DM Mathematics"
}
|
5*v(t).
4*t**2 - 2*t
Let l(c) = -11*c**2 + 3*c + 3. Let y(v) = 11*v**2 - 2*v - 3. Calculate 4*l(f) + 5*y(f).
11*f**2 + 2*f - 3
Let j(t) = 3. Suppose 3*r = 4*o + 10 + 3, 0 = -o - 1. Let x(b) = -r*b + 10*b + 2 - 6*b. Give 2*j(w) - 3*x(w).
-3*w
Let o(g) be the third derivative of 5/24*g**4 + 0*g - 2/3*g**3 + 0 - 31*g**2. Let k(n) = -6*n + 5. Give 2*k(c) + 3*o(c).
3*c - 2
Let x(p) be the second derivative of p**5/20 - 3*p**3/2 + 9*p**2/2 - 88*p. Let f(y) = -y**3 + 4*y - 4. Determine 9*f(g) + 4*x(g).
-5*g**3
Let v(g) = -12*g + 243. Let o(s) = 5*s - 122. Give 5*o(c) + 2*v(c).
c - 124
Suppose 4*j - 6 = 3*n, 4*n + j - 13 = -21. Let o(p) = -5*p**2 + 20*p - 9. Let s(w) = w**2 - 5*w + 2. What is n*o(i) - 9*s(i)?
i**2 + 5*i
Let d(a) = -5 + 9 - 1 - 8. Let g(q) = q - 9. Calculate 5*d(v) - 3*g(v).
-3*v + 2
Let v be 0 - (0 + 1)/1. Let a(c) = 0*c - 2*c + 1 - c. Let h(u) = -24 + 16 + 9. What is v*h(n) - a(n)?
3*n - 2
Let u(v) = -v - 158. Let z(q) = -2*q - 317. Determine 14*u(h) - 6*z(h).
-2*h - 310
Let f(v) = -4*v**2. Let z(j) = -7*j**2. Let b(c) = c - 15. Let w be b(19). Suppose -n = 5*k - w - 1, 4*k - 28 = 4*n. Calculate n*f(p) + 3*z(p).
-p**2
Let c(v) = 3*v - 3. Let s(o) = -o + 2. Let q(k) = -12*k + 30. Let f(i) = -q(i) + 18*s(i). What is -9*c(r) - 4*f(r)?
-3*r + 3
Let f(l) = -2*l**2 + 4*l. Suppose 4*o - 8*o + 168 = 0. Let s(i) = 2*i**2 + o*i - 49*i + 2*i**2. Calculate -7*f(n) - 4*s(n).
-2*n**2
Let d(q) = 2*q - 3. Let v be (0 + 2)/(23/(-5) - -5). Let p = 8 - v. Let m(i) = -i**2 - 2*i + 3. What is p*d(g) + 2*m(g)?
-2*g**2 + 2*g - 3
Let a(u) = 9*u + 1. Suppose 7*k + 31 = 10. Let l(d) = -5*d. What is k*a(w) - 5*l(w)?
-2*w - 3
Let w be 45/6*4/6. Let l = -123 - -119. Let r(y) = y**3 - 4 - 6*y + 2*y + 2*y**3 - 4*y**2. Let o(k) = 4*k**3 - 5*k**2 - 5*k - 5. Calculate l*o(p) + w*r(p).
-p**3
Let c(m) = -m**2 + 10*m - 1. Let t be c(11). Let z = 20 + t. Let a(i) = 2*i**3 + 3*i + 3. Let u(r) = 6*r**3 + 8*r + 8. Let g = 1 + -4. Give g*u(p) + z*a(p).
-2*p**3
Let q(u) = 2*u**2 - 16*u + 5. Let g(x) = 4*x**2 - 31*x + 11. What is -6*g(y) + 13*q(y)?
2*y**2 - 22*y - 1
Let z(s) = s**3 + 10*s**2 - 3*s. Let a(n) = n**3 + n**2 + 3*n - 1. Calculate -a(c) - z(c).
-2*c**3 - 11*c**2 + 1
Let d(i) = i**2 - i. Let q(o) = -4*o**3 - 12*o**2 + 12*o. Suppose 0*t + 21*t - 84 = 0. Give t*q(y) + 48*d(y).
-16*y**3
Let v(b) = b + 1. Suppose -3*a + j = -j + 10, 2*a = -2*j. Let m(s) = -9*s - 9. Determine a*m(f) - 21*v(f).
-3*f - 3
Let w(r) = -2*r**3 - 3*r**2 - 9*r - 12. Let c(z) = -z**2 - 2*z - 1. Calculate -5*c(u) + w(u).
-2*u**3 + 2*u**2 + u - 7
Let i(l) = -l**2 - 9*l + 20. Let g(h) = 3*h**2 + 26*h - 61. Calculate -6*g(s) - 17*i(s).
-s**2 - 3*s + 26
Let z(g) = -14*g + 6. Let d(p) = 9*p + 1. Give 2*d(a) + z(a).
4*a + 8
Let t(g) = 10*g**3 - 7. Let w be -2 + ((-20)/(-25) - (-82)/10). Let m(n) = -3*n**3 + 2. Let p(s) = s**2 + 4*s + 2. Let d be p(-4). Give d*t(o) + w*m(o).
-o**3
Let c be 41/7 + 0 - 5/(-35). Let q(m) = -m**2 - 3*m + 1. Let t(s) = s**2 + s - 1. Let f(k) = -7*k**2 - 9*k + 7. Let g(h) = -f(h) - 6*t(h). Give c*g(v) + 5*q(v).
v**2 + 3*v - 1
Let u(b) = 6*b**3 - 15*b**2 - 7*b + 7. Let r(s) = -4*s**3 + 10*s**2 + 5*s - 5. Suppose n - 5*o = -18, 0 = 3*n - 7*o + 6*o - 16. Calculate n*r(y) + 5*u(y).
2*y**3 - 5*y**2
Let b(v) = 97*v + 5. Let p(g) = -96*g - 6. Give 7*b(r) + 6*p(r).
103*r - 1
Let k(g) = g**2 + 12*g + 11. Suppose -4*u = -56 - 32. Suppose x + 0*r - 3*r = 7, -3*r - 3 = -3*x. Let j(i) = 2 + i - 5 + 4. What is u*j(z) + x*k(z)?
-2*z**2 - 2*z
Let a = -8 + 11. Suppose -a*o = -10 + 64. Let z be 4/o - (-16)/(-9). Let k(t) = t + 1. Let s(q) = 4. Determine z*k(g) + s(g).
-2*g + 2
Let z be -80*14/(-896)*1*4. Let y(i) = -i**2 - 3. Let q(l) = l**2 - l + 5. Let m(p) = -4*q(p) - 7*y(p). Let n(b) = 4*b**2 + 5*b. What is z*m(j) - 4*n(j)?
-j**2 + 5
Let j(f) = 4*f**3 - 3*f**2 + 3*f + 3. Let k(w) be the third derivative of -w**6/40 + w**5/15 - w**4/6 - 2*w**3/3 - 2*w**2 + 27. Determine 4*j(z) + 3*k(z).
7*z**3
Let l(t) = -5*t + 6. Let n be -1 + 8*(-1)/(-2). Let x(c) = 9*c - 10. Let z(p) = -p + 1. Let d(j) = n*z(j) + x(j). Determine 4*d(u) + 5*l(u).
-u + 2
Let a(g) = 278 - 23*g - 278. Let j(u) = -81*u. Calculate 18*a(x) - 5*j(x).
-9*x
Let r(t) = -t**2 + 13*t - 18. Let g be r(9). Let l be -15*(60/g - 3). Let y(p) = -8*p**2 + 8*p + 5. Let d(m) = -7*m**2 + 7*m + 4. Determine l*y(x) + 6*d(x).
-2*x**2 + 2*x - 1
Let x(z) = -z**2 - 1. Let m = 19 - 61. Let b be m/(-30) - (1 + (-6)/10). Let d(c) = -3*c**3 + 9*c**2 + 9. Calculate b*d(q) + 9*x(q).
-3*q**3
Let i(k) = -2*k**3 - 9*k**2 + 2*k + 7. Let p(t) = -2*t**3 - 11*t**2 + 2*t + 9. Calculate 5*i(b) - 4*p(b).
-2*b**3 - b**2 + 2*b - 1
Let a(b) = 467*b + 7. Let j(z) = 929*z + 16. What is -7*a(y) + 3*j(y)?
-482*y - 1
Let z(l) = -117*l**3 + 2*l**2 - 4*l + 5. Let f(y) = -y**3 + y**2 - y + 1. What is -3*f(d) + z(d)?
-114*d**3 - d**2 - d + 2
Let d(w) = 26*w**2 - 143*w + 9. Let c(h) = 22*h**2 - 144*h + 8. Determine 7*c(a) - 6*d(a).
-2*a**2 - 150*a + 2
Let v(y) = -3*y**3 + y**2 + 11*y + 11. Let g be v(-1). Let j = -8 + 17. Let a(p) = g*p + 7*p - 5*p + j. Let s(d) = -2*d - 3. Give -6*a(n) - 17*s(n).
-2*n - 3
Let j(m) = m - 15. Suppose 80*i - 85*i = -70. Let u be j(i). Let d(t) = -7*t**3 - 6*t**2 - 6. Let f(w) = -w**3 - w**2 - 1. What is u*d(a) + 6*f(a)?
a**3
Let a(v) = -3*v + 63. Let m(p) = p - 31. Calculate 3*a(j) + 7*m(j).
-2*j - 28
Let p(k) = -19*k**3 + k**2 + 2*k + 4. Let x(d) = -20*d**3 + d**2 + 3*d + 5. Calculate -5*p(z) + 4*x(z).
15*z**3 - z**2 + 2*z
Let p(y) = y**2 - y - 1. Let v(k) = k**2 - 1. Let s be (-9)/(-3) - (-4 + (2 - -2)). Calculate s*p(d) - 5*v(d).
-2*d**2 - 3*d + 2
Let y(k) = -k**2 + k. Let j(h) = 3*h**2 - 4*h. Suppose 88 = 4*q + 18*q. Let f be 1 - (-2 + 2) - 0. Determine f*j(c) + q*y(c).
-c**2
Let h(p) = -123*p - 1. Let j(d) = d - 1. Determine h(f) - 2*j(f).
-125*f + 1
Let o be -2 - (5 - 3 - -5). Let j be ((-4)/6 - 0)*o. Let m(y) = 3*y - 7. Let n(k) = -4*k + 8. Give j*n(l) + 7*m(l).
-3*l - 1
Let o be ((-6)/(-9))/(2/3). Let b(m) be the third derivative of m**4/24 - m**3/6 + 123*m**2. Let j(i) = 5*i - 4. Determine o*j(x) - 3*b(x).
2*x - 1
Let g(v) = 86*v**3 - 6*v**2 - 19*v + 6. Let n(z) = 86*z**3 - 7*z**2 - 21*z + 7. Determine 7*g(q) - 6*n(q).
86*q**3 - 7*q
Let q(a) = 7*a**3 + 4*a**2 - 4*a - 4. Let j = -107 - -80. Let f(h) = -48*h**3 - 27*h**2 + 27*h + 27. Determine j*q(w) - 4*f(w).
3*w**3
Let z(o) be the second derivative of o**3/2 - 7*o**2/2 - o - 22. Let c(u) = -4 - 2 + u + 4. Give -21*c(y) + 6*z(y).
-3*y
Let q(k) = 2*k + 3. Let j(m) be the second derivative of -m**3/2 - 5*m**2/2 - 3*m + 6. What is -4*j(h) - 7*q(h)?
-2*h - 1
Suppose -q - 4*x = 18, -4*q - 2*x = -8*q + 18. Let p(m) = 3. Let w(i) = i. Determine q*w(k) - p(k).
2*k - 3
Let g(a) = a**2 - a - 1. Suppose -238 = -8*p - 230. Let l(t) = -3*t**2 + 5*t + 5. Determine p*l(m) + 5*g(m).
2*m**2
Let k(y) = -44*y**3 - 28*y**2 + 28*y - 28. Let v(d) = -680 - 8*d**3 + 2*d + 3*d - 5*d**2 + 675. Suppose l = s + 3 - 0, 0 = -4*s + 8. Determine l*k(w) - 28*v(w).
4*w**3
Let d(g) = 265*g**2 - 11*g + 11. Let y(u) = 66*u**2 - 3*u + 3. Give 6*d(o) - 22*y(o).
138*o**2
Let y(t) = 3*t**2 - 2*t - 1. Let i(d) be the third derivative of 7*d**5/60 - 5*d**4/24 - d**3/2 + 7*d**2 + 6*d. Determine 2*i(r) - 5*y(r).
-r**2 - 1
Let f(a) = 96*a + 6. Let k(m) = m - 2. What is -f(u) - 3*k(u)?
-99*u
Let z(m) = 5*m**2 - 2*m + 3. Let t(s) = 16*s**2 - 7*s + 10. Let o(i) = -29*i + 819. Let j be o(28). Calculate j*z(l) - 2*t(l).
3*l**2 + 1
Let c(b) = -10*b + 9. Let w(q) be the third derivative of q**4/24 - q**3/6 + 6*q**2 + 16. Calculate -c(d) - 6*w(d).
4*d - 3
Let g(n) = 885*n**3 + 5*n**2 - 5*n - 5. Let c(z) = 126553*z**3 + 716*z**2 - 716*z - 716. Calculate 5*c(d) - 716*g(d).
-895*d**3
Suppose -31 = -6*t + 53. Let z(c) = -t + 34*c + c - 11*c. Let h(m) = 5*m - 3. Determine 14*h(y) - 3*z(y).
-2*y
Let m(b) = 22*b**3 + 6*b + 3*b - 4*b - 12*b + b + 6. Let a(h) = -21*h**3 + 5*h - 5. Give -6*a(i) - 5*m(i).
16*i**3
Let k(g) = 2*g**3 - 2*g**2 - 6*g - 341. Let t(d) = d**2 + 3*d - 1. What is -k(f) - 2*t(f)?
-2*f**3 + 343
Let c(v) = -13*v + 62. Let q(x) = 17*x - 63. Determine 4*c(p) + 3*q(p).
-p + 59
Let j(w) = -32*w**2 - 8. Let o(r) be the first derivative of 11*r**3/3 + 3*r + 52. Calculate -4*j(y) - 11*o(y).
7*y**2 - 1
Let r(d) = 2*d**3 + 2*d**2 - 2*d
|
{
"pile_set_name": "DM Mathematics"
}
|
of picking 1 f, 2 r, and 1 g when four letters picked without replacement from {f: 3, g: 1, t: 1, w: 2, r: 3}.
3/70
Two letters picked without replacement from {p: 2, j: 1, a: 2, i: 4}. What is prob of picking 1 p and 1 a?
1/9
Three letters picked without replacement from {h: 4, n: 3, a: 5}. Give prob of picking 1 h, 1 n, and 1 a.
3/11
Four letters picked without replacement from {x: 9, i: 3}. Give prob of picking 4 x.
14/55
What is prob of picking 1 j, 1 x, and 2 f when four letters picked without replacement from xfwjjfkm?
1/35
Calculate prob of picking 4 q when four letters picked without replacement from {f: 1, q: 11}.
2/3
Two letters picked without replacement from bbbzbboobbobbzb. Give prob of picking 1 z and 1 b.
4/21
Two letters picked without replacement from {n: 6, p: 4, t: 1}. Give prob of picking 1 t and 1 p.
4/55
Calculate prob of picking 4 z when four letters picked without replacement from zzzzzzzzzzzlzzzzzz.
7/9
Two letters picked without replacement from tdtddrdmdddtddtdstdt. What is prob of picking 2 t?
3/38
Two letters picked without replacement from bjjjjbbbbbjbjyjjjjyj. Give prob of picking 2 b.
21/190
Calculate prob of picking 3 n when three letters picked without replacement from nnjnnnnnjnjnjnnnjn.
143/408
Four letters picked without replacement from {d: 6}. What is prob of picking 4 d?
1
Calculate prob of picking 1 d and 1 a when two letters picked without replacement from {c: 1, r: 3, m: 1, a: 2, d: 4}.
8/55
Calculate prob of picking 1 o, 1 y, and 1 q when three letters picked without replacement from {t: 1, o: 3, v: 1, g: 1, q: 6, y: 1}.
9/143
What is prob of picking 3 q when three letters picked without replacement from {v: 4, q: 7, o: 1, r: 1}?
35/286
Three letters picked without replacement from ixmmixxyxmr. What is prob of picking 1 m and 2 x?
6/55
Calculate prob of picking 1 d and 2 h when three letters picked without replacement from hdvhkovbd.
1/42
What is prob of picking 1 b and 2 z when three letters picked without replacement from zzbfbzbbzbzzbzbbzbbz?
6/19
Two letters picked without replacement from {l: 2, w: 6}. What is prob of picking 2 w?
15/28
Three letters picked without replacement from oooccooooooo. What is prob of picking 3 o?
6/11
Four letters picked without replacement from {b: 5, r: 2, m: 2, i: 8}. What is prob of picking 4 b?
1/476
Four letters picked without replacement from {w: 2, l: 1, a: 1, h: 4, v: 7}. What is prob of picking 3 v and 1 l?
1/39
Calculate prob of picking 1 s and 1 w when two letters picked without replacement from wswswwww.
3/7
Two letters picked without replacement from {m: 3, a: 2, s: 4, v: 5, t: 5}. Give prob of picking 1 v and 1 m.
5/57
Three letters picked without replacement from {c: 4, h: 2}. What is prob of picking 2 c and 1 h?
3/5
Three letters picked without replacement from {p: 5, k: 4, u: 2, n: 2}. What is prob of picking 1 k and 2 u?
2/143
Four letters picked without replacement from {x: 1, o: 1, i: 1, v: 2, e: 1, d: 1}. Give prob of picking 1 v, 2 d, and 1 x.
0
Three letters picked without replacement from gmmpxmgmmmxgmmgmm. What is prob of picking 1 x, 1 m, and 1 p?
1/34
Calculate prob of picking 2 t when two letters picked without replacement from ttll.
1/6
What is prob of picking 1 y and 2 a when three letters picked without replacement from anynana?
3/35
What is prob of picking 1 l, 1 m, and 2 i when four letters picked without replacement from {s: 1, v: 1, i: 5, y: 2, m: 1, l: 7}?
1/34
Calculate prob of picking 1 m, 1 l, 1 p, and 1 t when four letters picked without replacement from ptmptlmtmtp.
6/55
Two letters picked without replacement from {a: 3, u: 13}. What is prob of picking 2 a?
1/40
Two letters picked without replacement from {q: 2, l: 3, g: 1, w: 4, p: 6, j: 4}. Give prob of picking 1 l and 1 j.
6/95
What is prob of picking 2 m when two letters picked without replacement from {j: 15, m: 3}?
1/51
Four letters picked without replacement from jmmjujjjm. What is prob of picking 1 u, 1 m, and 2 j?
5/21
Three letters picked without replacement from cqbizqc. Give prob of picking 1 q, 1 b, and 1 c.
4/35
Two letters picked without replacement from dbdvzbvdbti. Give prob of picking 2 b.
3/55
Three letters picked without replacement from {q: 7, r: 1}. Give prob of picking 2 q and 1 r.
3/8
Three letters picked without replacement from ppp. Give prob of picking 3 p.
1
Calculate prob of picking 1 y and 1 n when two letters picked without replacement from {z: 2, u: 2, n: 1, v: 2, y: 1, w: 1}.
1/36
Calculate prob of picking 1 h and 1 o when two letters picked without replacement from hoofffffhfooff.
8/91
Two letters picked without replacement from dsstddod. What is prob of picking 1 t and 1 s?
1/14
Four letters picked without replacement from {m: 4, c: 8, s: 1, u: 1, j: 1}. What is prob of picking 3 m and 1 c?
32/1365
Three letters picked without replacement from {t: 7, s: 2, y: 3, j: 1, a: 4}. What is prob of picking 1 j and 2 a?
3/340
Two letters picked without replacement from {c: 7, h: 3}. Give prob of picking 2 h.
1/15
Calculate prob of picking 2 o when two letters picked without replacement from ooooooo.
1
Calculate prob of picking 4 f when four letters picked without replacement from fffffffff.
1
Calculate prob of picking 2 e when two letters picked without replacement from {t: 1, y: 1, q: 3, e: 2}.
1/21
Calculate prob of picking 1 w and 1 g when two letters picked without replacement from wgb.
1/3
Two letters picked without replacement from {z: 1, e: 1, p: 1, m: 1, u: 2, b: 1}. What is prob of picking 1 u and 1 m?
2/21
Three letters picked without replacement from {d: 1, e: 2, b: 2, u: 4, n: 5}. What is prob of picking 2 n and 1 b?
5/91
What is prob of picking 2 z when two letters picked without replacement from {e: 9, z: 2}?
1/55
Calculate prob of picking 1 v and 3 z when four letters picked without replacement from {z: 5, d: 8, v: 3}.
3/182
Two letters picked without replacement from ruaxauxaxx. What is prob of picking 1 u and 1 x?
8/45
Three letters picked without replacement from {x: 3, i: 1, h: 4, y: 2}. What is prob of picking 1 i and 2 h?
1/20
Two letters picked without replacement from jgqgsgggsgjjgqgeqs. Give prob of picking 1 j and 1 s.
1/17
Four letters picked without replacement from zyjyyjyjydyyzzdyjjz. Give prob of picking 4 y.
35/1938
Two letters picked without replacement from {z: 12, t: 1, r: 2, b: 3, a: 1}. Give prob of picking 2 r.
1/171
What is prob of picking 1 p and 2 u when three letters picked without replacement from vpukkulg?
1/56
Calculate prob of picking 1 t and 2 y when three letters picked without replacement from trboytrroortttrtby.
1/136
Two letters picked without replacement from iffffif. Give prob of picking 1 f and 1 i.
10/21
Two letters picked without replacement from {b: 1, l: 1, m: 1, o: 4, t: 2}. Give prob of picking 1 t and 1 m.
1/18
What is prob of picking 1 h and 2 i when three letters picked without replacement from ihhi?
1/2
What is prob of picking 1 n, 2 w, and 1 h when four letters picked without replacement from {e: 5, n: 3, w: 2, h: 7}?
3/340
Calculate prob of picking 2 x and 1 a when three letters picked without replacement from axax.
1/2
What is prob of picking 3 o when three letters picked without replacement from {o: 8, d: 5}?
28/143
Three letters picked without replacement from {c: 2, b: 1, u: 3, h: 1, r: 4}. What is prob of picking 1 c, 1 r, and 1 u?
8/55
What is prob of picking 1 c, 1 q, and 1 y when three letters picked without replacement from {c: 2, y: 1, v: 3, p: 4, q: 1, h: 1}?
1/110
Three letters picked without replacement from ttt. Give prob of picking 3 t.
1
Two letters picked without replacement from {s: 4, a: 3, m: 1}. What is prob of picking 2 a?
3/28
What is prob of picking 2 m when two letters picked without replacement from ssnmm?
1/10
What is prob of picking 2 x and 1 b when three letters picked without replacement from ymobboobxomoomoxb?
1/170
What is prob of picking 3 z when three letters picked without replacement from zzzzzz?
1
Two letters picked without replacement from vtbbbvbbbvvbbt. What is prob of picking 2 b?
4/13
What is prob of picking 2 g and 1 v when three letters picked without replacement from {g: 12, v: 6}?
33/68
Calculate prob of picking 1 l and 1 q when two lett
|
{
"pile_set_name": "DM Mathematics"
}
|
False
Does 47 divide 1024?
False
Is 665 a multiple of 6?
False
Does 17 divide 1224?
True
Does 32 divide 1984?
True
Is 21 a factor of 6425?
False
Does 3 divide 60?
True
Is 44 a factor of 450?
False
Is 6 a factor of 160?
False
Does 19 divide 399?
True
Does 12 divide 120?
True
Is 4979 a multiple of 140?
False
Is 266 a multiple of 5?
False
Does 239 divide 18642?
True
Does 60 divide 3334?
False
Is 27 a factor of 19170?
True
Does 7 divide 5754?
True
Is 644 a multiple of 23?
True
Does 21 divide 12149?
False
Is 271 a factor of 30554?
False
Is 30 a factor of 1024?
False
Is 28 a factor of 961?
False
Is 10012 a multiple of 64?
False
Is 5 a factor of 523?
False
Is 16819 a multiple of 11?
True
Is 740 a multiple of 16?
False
Does 21 divide 333?
False
Is 8 a factor of 904?
True
Does 11 divide 209?
True
Is 13 a factor of 554?
False
Is 2 a factor of 291?
False
Is 546 a multiple of 6?
True
Is 32 a factor of 128?
True
Is 57 a factor of 3705?
True
Is 1840 a multiple of 23?
True
Does 10 divide 120?
True
Does 35 divide 35?
True
Does 15 divide 13297?
False
Is 38 a factor of 3458?
True
Is 60 a factor of 3000?
True
Is 7400 a multiple of 148?
True
Is 492 a multiple of 6?
True
Is 591 a multiple of 156?
False
Is 154 a multiple of 77?
True
Is 5 a factor of 27157?
False
Is 457 a multiple of 45?
False
Is 14 a factor of 1694?
True
Does 146 divide 7300?
True
Is 352 a multiple of 15?
False
Is 15 a factor of 32640?
True
Is 132 a multiple of 33?
True
Does 6 divide 30?
True
Is 28 a factor of 1848?
True
Is 1788 a multiple of 12?
True
Is 352 a multiple of 35?
False
Does 18 divide 1386?
True
Is 26 a factor of 4369?
False
Does 15 divide 347?
False
Is 10 a factor of 260?
True
Is 4 a factor of 122?
False
Is 18 a factor of 5400?
True
Does 282 divide 347?
False
Is 6175 a multiple of 7?
False
Is 30800 a multiple of 280?
True
Does 35 divide 6510?
True
Does 12 divide 6672?
True
Does 189 divide 1415?
False
Does 51 divide 2958?
True
Does 36 divide 3303?
False
Is 11 a factor of 1188?
True
Does 84 divide 2016?
True
Does 40 divide 3040?
True
Is 41021 a multiple of 40?
False
Is 293 a multiple of 12?
False
Is 150 a multiple of 10?
True
Does 26 divide 22324?
False
Is 533 a multiple of 14?
False
Does 7 divide 224?
True
Is 34550 a multiple of 8?
False
Is 51 a factor of 9515?
False
Is 190 a multiple of 19?
True
Is 57 a factor of 1767?
True
Is 8 a factor of 240?
True
Is 76 a factor of 47176?
False
Is 18 a factor of 11486?
False
Is 18 a factor of 1782?
True
Is 11 a factor of 53?
False
Is 122 a factor of 7128?
False
Does 8 divide 1399?
False
Is 942 a multiple of 80?
False
Does 115 divide 6147?
False
Does 20 divide 11606?
False
Is 47 a multiple of 10?
False
Does 241 divide 21690?
True
Does 48 divide 624?
True
Is 2732 a multiple of 9?
False
Does 8 divide 3157?
False
Does 174 divide 10440?
True
Does 38 divide 146106?
False
Is 112 a factor of 15568?
True
Is 11 a factor of 517?
True
Is 18 a factor of 1119?
False
Does 13 divide 1989?
True
Does 131 divide 15730?
False
Is 22126 a multiple of 74?
True
Is 3406 a multiple of 38?
False
Is 9492 a multiple of 77?
False
Is 776 a multiple of 97?
True
Is 5 a factor of 460?
True
Does 33 divide 726?
True
Is 2 a factor of 10294?
True
Is 618 a multiple of 163?
False
Is 102 a factor of 3468?
True
Is 252 a multiple of 21?
True
Does 10 divide 1928?
False
Is 1567 a multiple of 44?
False
Is 21 a factor of 972?
False
Is 28 a factor of 6148?
False
Does 57 divide 166?
False
Does 6 divide 510?
True
Does 3 divide 297?
True
Is 13 a factor of 11102?
True
Does 36 divide 202?
False
Does 15 divide 1439?
False
Does 52 divide 7904?
True
Does 365 divide 131765?
True
Is 82 a factor of 28372?
True
Is 222 a factor of 23248?
False
Is 15 a factor of 995?
False
Is 1170 a multiple of 9?
True
Does 44 divide 894?
False
Is 25 a factor of 335?
False
Is 41 a factor of 9070?
False
Does 6 divide 1486?
False
Does 19 divide 5168?
True
Does 102 divide 12546?
True
Is 933 a multiple of 21?
False
Is 12 a factor of 2133?
False
Is 83 a factor of 2209?
False
Does 15 divide 1291?
False
Is 15 a factor of 15?
True
Does 80 divide 13281?
False
Does 16 divide 24720?
True
Is 58114 a multiple of 14?
True
Is 4 a factor of 300?
True
Does 14 divide 3777?
False
Is 1580 a multiple of 4?
True
Is 13 a factor of 13726?
False
Does 16 divide 3760?
True
Is 1065 a multiple of 18?
False
Is 4 a factor of 144?
True
Does 93 divide 5487?
True
Does 25 divide 3519?
False
Does 14 divide 63728?
True
Does 45 divide 2880?
True
Is 9912 a multiple of 236?
True
Does 71 divide 9276?
False
Does 17 divide 1564?
True
Does 24 divide 12240?
True
Is 85 a factor of 617?
False
Is 18 a factor of 3455?
False
Does 23 divide 44293?
False
Is 950 a multiple of 50?
True
Is 19 a factor of 779?
True
Is 651 a multiple of 21?
True
Does 35 divide 686?
False
Does 21 divide 168?
True
Is 106 a factor of 25546?
True
Is 1068 a multiple of 6?
True
Is 4 a factor of 26587?
False
Is 14 a factor of 41804?
True
Does 31 divide 781?
False
Is 12054 a multiple of 42?
True
Is 84 a factor of 673?
False
Is 9 a factor of 369?
True
Is 13 a factor of 492?
False
Is 3 a factor of 13314?
True
Is 2868 a multiple of 4?
True
Is 3760 a multiple of 24?
False
Does 17 divide 3911?
False
Is 1482 a multiple of 57?
True
Is 114 a multiple of 7?
False
Does 19 divide 8857?
False
Does 8 divide 769?
False
Is 43 a factor of 903?
True
Is 20265 a multiple of 131?
False
Is 20450 a multiple of 50?
True
Does 38 divide 5456?
False
Is 4 a factor of 224?
True
Is 3 a factor of 95?
False
Is 36 a factor of 3254?
False
Does 13 divide 533?
True
Is 193 a multiple of 49?
False
Is 2 a factor of 78?
True
Does 25 divide 75?
True
Is 10 a factor of 13623?
False
Is 560 a multiple of 28?
True
Is 15 a factor of 115320?
True
Is 16444 a multiple of 64?
False
Is 15 a factor of 60?
True
Does 15 divide 105?
True
Is 119 a factor of 17624?
False
Does 16 divide 1122?
False
Does 104 divide 4680?
True
Does 91 divide 12445?
False
Does 26 divide 780?
True
Is 7 a factor of 2695?
True
Is 157 a factor of 17452?
False
Is 14 a factor of 2165?
False
Is 125 a factor of 1875?
True
Does 6 divide 72?
True
Is 6 a factor of 11473?
False
Does 30 divide 630?
True
Is 17 a factor of 850?
True
Does 3 divide 2040?
True
Is 13 a factor of 3401?
False
Is 229 a multiple of 18?
False
Does 7 divide 677?
False
Is 92 a factor of 2530?
False
Is 56 a factor of 17808?
True
Is 164 a multiple of 7?
False
Is 335 a factor of 117585?
True
Does 6 divide 3608?
False
Is 19 a factor of 368?
False
Is 399 a multiple of 21?
True
Is 32430 a multiple of 12?
False
Is 121 even?
False
Is 24 a factor of 1728?
True
Is 101419 a multiple of 13?
False
Is 43 a factor of 31906?
True
Is 52 a factor of 96213?
False
Is 5508 a multiple of 20?
False
Is 3790 a multiple of 9?
False
Is 35 a factor of 425?
False
Is 2 a factor of 108?
True
Is 17 a factor of 64090?
True
Is 19 a factor of 13460?
False
Is 7 a factor of 161?
True
Is 52 a factor of 260?
True
Is 858 a multiple of 29?
False
Is 7 a factor of 47027?
False
Does 58 divide 1470?
False
Is 1416 a multiple of 86?
False
Is 4228 a multiple of 62?
False
Is 252 a multiple of 63?
True
Is 2991 a multiple of 31?
False
Is 608 a multiple of 19?
True
Is 1302 a multiple of 42?
True
Is 9 a factor of 24201?
True
Is 6060 a multiple of 15?
True
Does 4 divide 1884?
True
Is 44 a factor of 11096?
False
Is 82 a factor of 25256?
True
Is 5716 a multiple of 84?
False
Does 442 divide 136578?
True
Is 16 a factor of 1056?
True
Does 11 divide 946?
True
Does 4 divide 20?
True
Is 14 a factor of 3935?
False
Is 832 a multiple of 64?
True
Is 181 a factor of 17195?
True
Is 5 a factor of 195?
True
Is 33 a factor of 4851?
True
Does 10 divide 57740?
True
Is 8 a factor of 9336?
True
Is 7 a factor of 2014?
False
Does 17 divide 2431?
True
Is 5 a factor of 6925?
True
Is 2 a factor of 8306?
True
Is 13962 a multiple of 104?
False
Is 3848 a multiple of 104?
True
Does 134 divide 42057?
False
Is 23 a factor of 3565?
True
Is 1812 a multiple of 12?
True
Does 16 divide 608?
True
Is 7 a factor of 3367?
True
Is 6080 a multiple of 76?
True
Is 25 a factor of 4325?
True
Is 1186 a multiple of 67?
False
Does 151 divide 24709?
False
Does 46 divide 1232?
False
Does 14 divide 711?
False
Is 72 a factor of 60073?
False
Is 319 a multiple of 29?
True
Is 15 a factor of 1380?
True
Is 594 a multiple of 66?
Tr
|
{
"pile_set_name": "DM Mathematics"
}
|
t(2)) - -4*-3*sqrt(17)*1*-3.
249*sqrt(17)/7
Simplify -2 + ((sqrt(68) + 2 + 4)*-6*1)**2 + 1.
864*sqrt(17) + 3743
Simplify (sqrt(162) + -2 + -1)**2 - (sqrt(10) - (sqrt(10) + sqrt(60)/sqrt(6)*3) - sqrt(10))/sqrt(5).
-50*sqrt(2) + 171
Simplify (2*sqrt(931) + 3 - 3*sqrt(931)*-2)**2 + 5*(0 + sqrt(931))*-3.
231*sqrt(19) + 59593
Simplify -4*((sqrt(52) + (-2*sqrt(208))/sqrt(4))/(sqrt(16)/(sqrt(4)*2)))**2.
-208
Simplify (5 + 0 + -2*sqrt(2736) + (sqrt(2736)*-2 + -3 - sqrt(2736))*3)**2*-2.
-662144 - 2112*sqrt(19)
Simplify (-3 + -1 + sqrt(425) + 5 + (sqrt(425) - (2 + (sqrt(425) + 0 - sqrt(425))) - (sqrt(425) + 5*(sqrt(425)*1 + sqrt(425)))))**2.
90*sqrt(17) + 34426
Simplify (2*(((sqrt(20) + sqrt(80))*-2)**2 + sqrt(20)) - (6*(1 + sqrt(20)) + 2 + (sqrt(20) - sqrt(40)/sqrt(2)))**2)*-2.
-1312 + 376*sqrt(5)
Simplify ((sqrt(55) - sqrt(550)/(sqrt(90)/sqrt(9)))*3)/((sqrt(180) - (4*sqrt(180) + sqrt(180) + sqrt(180)) - sqrt(180))*1).
0
Simplify 4*1*(sqrt(120)/(sqrt(294) + sqrt(6)))/(sqrt(396)/sqrt(11) - sqrt(4)).
sqrt(5)/4
Simplify ((sqrt(576) - (sqrt(576) - (sqrt(576) - (sqrt(576)*-1 + sqrt(576)))*-2))/(sqrt(36)/sqrt(3)*4))**2.
12
Simplify -2 + ((-1 + sqrt(117))**2 + 1 - (-2*-2*sqrt(104))/sqrt(8)).
-10*sqrt(13) + 117
Simplify (sqrt(119)*-5*-1)/(sqrt(175) + 1*sqrt(175) + sqrt(175)) + 4.
sqrt(17)/3 + 4
Simplify ((sqrt(1300) + 0 + sqrt(1300))*5 + 0)*1.
100*sqrt(13)
Simplify -2*((1*sqrt(70))/sqrt(10) - -3*sqrt(28) - (-3 + sqrt(21)/sqrt(3) - (-1*sqrt(7) + 3)**2)).
-38
Simplify sqrt(34)/(sqrt(2)*-1*6)*5 + (sqrt(102) - (sqrt(102) + 2*sqrt(102))*-3)/(sqrt(864) + sqrt(864)*-2).
-5*sqrt(17)/3
Simplify 4 + (-5 + (sqrt(1331)*-1*-1 - -2*(1 + sqrt(275))))**2.
-126*sqrt(11) + 4864
Simplify (-1*(-4 + (sqrt(891) - 2*sqrt(891)) - 5*2*sqrt(891)))**2.
792*sqrt(11) + 107827
Simplify (4 + sqrt(304)*-1 + 5 + 3)*6.
-24*sqrt(19) + 72
Simplify (sqrt(105)/(sqrt(20)/sqrt(4)) + sqrt(1344) + 2*sqrt(1344))/(sqrt(175)*6 - (sqrt(112) - -2*sqrt(112))).
25*sqrt(3)/18
Simplify (-1*sqrt(38)/sqrt(2)*3 + (-6*(sqrt(95) - (-3*sqrt(95) - sqrt(95))) + sqrt(95))/sqrt(5))**2.
19456
Simplify -1 + (6*(sqrt(108) + 1*sqrt(108) + 4 + sqrt(108) + 1))**2 + 2.
6480*sqrt(3) + 35893
Simplify -2*sqrt(44) + (1*sqrt(11))**2 + 5 + 3*sqrt(33)/sqrt(3) + -4 + sqrt(11) + 0.
12
Simplify (2 + (-6*-3*sqrt(637) + sqrt(637) + sqrt(637) + -5 + (sqrt(637) - (sqrt(637) - (sqrt(637) + 0))))*4)**2.
-21168*sqrt(13) + 4494996
Simplify -3*(sqrt(45)*2 + 4) + 2.
-18*sqrt(5) - 10
Simplify (sqrt(119) + (sqrt(119)*-1 - sqrt(119))*1 - sqrt(119) - sqrt(119))/(sqrt(42)/(sqrt(54)/sqrt(9))).
-3*sqrt(17)
Simplify 0 + 1 + 5*((sqrt(13) - (sqrt(13) + sqrt(13) + sqrt(39)/sqrt(3) + -3 - sqrt(13))) + -2 + sqrt(13) + -3)**2.
21
Simplify (1 + sqrt(343) + -3)*6 + 0 + -2.
-14 + 42*sqrt(7)
Simplify (((sqrt(6336) + (sqrt(6336) - (sqrt(6336) + sqrt(6336)*1 + sqrt(6336) - sqrt(6336))) - sqrt(6336))*-1)/(sqrt(40)/(-2*sqrt(360) - sqrt(360))))**2.
513216
Simplify (sqrt(78) + -6*(sqrt(78) + sqrt(78)*-1 - sqrt(78)))/((sqrt(60)*-3 - sqrt(60))/sqrt(10)).
-7*sqrt(13)/4
Simplify (6*(1*sqrt(95) - sqrt(95)) - sqrt(95))/(sqrt(125) + (sqrt(125)*-2 - sqrt(125)) + sqrt(125))*-2.
-2*sqrt(19)/5
Simplify 3*(sqrt(3564) + (sqrt(3564) + 4 + 2)**2).
702*sqrt(11) + 10800
Simplify 5 + 6*(sqrt(128) + -3 + 1*sqrt(128) + 1 + sqrt(128) + -1) + 0.
-13 + 144*sqrt(2)
Simplify ((-3*(-1 + sqrt(75)) + sqrt(75)*-2*-6)*5)**2.
6750*sqrt(3) + 152100
Simplify ((0 + sqrt(275))**2 + sqrt(275) + -3 - (-5 + sqrt(11) + sqrt(11) + -2*(sqrt(11) + -1))**2)*-5.
-1315 - 25*sqrt(11)
Simplify (sqrt(119)/((sqrt(77) - (sqrt(77) + (sqrt(77) + -3*sqrt(77) - sqrt(77) - sqrt(77))))/sqrt(11)) + -1*sqrt(1088)*1)**2.
16337/16
Simplify (2 + -2 + sqrt(1216) + 1 + (-1*sqrt(1216) - sqrt(1216))*-6 + -4)**2.
-624*sqrt(19) + 205513
Simplify ((sqrt(66) - sqrt(66)*4)*4 + sqrt(66))/((1*sqrt(24))/sqrt(4)).
-11*sqrt(11)
Simplify (-1*sqrt(88) - sqrt(88))/((-1*sqrt(8))/sqrt(4)) - -4*((0 + sqrt(11) - sqrt(11))*-2 + 0).
4*sqrt(11)
Simplify (-3*(sqrt(91) + (-1*sqrt(91)*-2 - sqrt(91))))/(sqrt(700) + -1*sqrt(700) + sqrt(700) + sqrt(700) - (sqrt(448)*1 + sqrt(448) + sqrt(448))).
3*sqrt(13)/2
Simplify sqrt(98) + 0 + 5 + (3*(sqrt(98) + (sqrt(98) - -2*sqrt(98))))**2 - ((sqrt(98) - (1 + sqrt(98))**2) + 0 - sqrt(98))*-4.
-49*sqrt(2) + 13721
Simplify -6*(sqrt(28)/(sqrt(144) + 1*sqrt(144))*4)**2.
-14/3
Simplify (4*(1 + (sqrt(1100) + 1 + -4 - 2*sqrt(1100)*2)))**2.
1920*sqrt(11) + 158464
Simplify (-3*((5 + (sqrt(405) - (sqrt(405) + 2*sqrt(405))))*2 + -4)*-1)**2.
-3888*sqrt(5) + 58644
Simplify 1 + (sqrt(51)/(sqrt(3) + (3*sqrt(9))/sqrt(3)))**2 + 1 + -4.
-15/16
Simplify (((sqrt(42)*-3)/sqrt(2))/sqrt(7) + (sqrt(432) + -3 - sqrt(3))*-6)*5.
-345*sqrt(3) + 90
Simplify ((sqrt(196)*1 - sqrt(196))*-5 - sqrt(196))/(sqrt(7) + sqrt(7)*2*1) + -4.
-4 - 2*sqrt(7)/3
Simplify 6*(-1 + (sqrt(180)*-1 - sqrt(5) - (sqrt(80)*1 - sqrt(5)))**2*2).
5994
Simplify ((sqrt(352) - -1*sqrt(352) - ((-1*sqrt(66))/sqrt(3) + sqrt(22)))/(1*-1*sqrt(11)*-3))**2.
128/9
Simplify -3 + 1*sqrt(14)/(sqrt(630)/sqrt(10))*-5.
-3 - 5*sqrt(2)/3
Simplify (4*(sqrt(104)*-1 + sqrt(104) + sqrt(104) - sqrt(104)) - (sqrt(104) + sqrt(104) + (-1*2*sqrt(104) - sqrt(104))))/(sqrt(40)/(-2*sqrt(405) - sqrt(405))).
-27*sqrt(13)
Simplify -1 + 5*(sqrt(17) - sqrt(153))**2 - sqrt(170)/(sqrt(20)/sqrt(2))*-4.
4*sqrt(17) + 339
Simplify (-2*((-6*(sqrt(162) - -2*sqrt(162) - sqrt(162)) - ((2 + sqrt(162))*-5 - sqrt(162))) + -3))**2.
-3024*sqrt(2) + 23524
Simplify (-1*sqrt(15))/sqrt(3) - (sqrt(5) + sqrt(5)*-1*-1) - (sqrt(30)/sqrt(96) + 1).
-13*sqrt(5)/4 - 1
Simplify (4 + (-5*(sqrt(187)*1 - sqrt(187)))/(sqrt(11) + sqrt(55)/sqrt(80)))**2.
16
Simplify (sqrt(3600)*-2)/(-4*(sqrt(12) - sqrt(108)) + sqrt(12)) + sqrt(3) + (sqrt(3)*-1)**2*-5 + 3 + sqrt(12).
-12 + 7*sqrt(3)/9
Simplify (sqrt(175) + -1 + -2*sqrt(343) + (-1*sqrt(168))/sqrt(6))**2.
22*sqrt(7) + 848
Simplify (2 + (-2*sqrt(108))/(6*(sqrt(16)/sqrt(4) + sqrt(4)) - sqrt(4)))**2.
-24*sqrt(3)/11 + 592/121
Simplify ((sqrt(612) - 1*sqrt(612) - sqrt(612)) + 5 + sqrt(34)/(sqrt(18)/sqrt(144)))**2.
-20*sqrt(17) + 93
Simplify (sqrt(99)/(sqrt(12)*-1))/((sqrt(1584) - 6*(-2*sqrt(1584) + sqrt(1584))) + sqrt(1584) - sqrt(1584)).
-sqrt(3)/168
Simplify (-6*3*-2*sqrt(130))/((-5*(sqrt(90) - sqrt(90)*-1))/sqrt(9)).
-18*sqrt(13)/5
Simplify -2*(0 + (sqrt(3872) + 2)**2 + 1 + sqrt(3872)).
-7754 - 440*sqrt(2)
Simplify (((-2 + sqrt(98)*2*2)*6)**2 + 1)*1.
-4032*sqrt(2) + 56593
Simplify (-6*(sqrt(102) + (-2*sqrt(102) + sqrt(102) - sqrt(102))) - -2*sqrt(102)*-6)/(3*sqrt(54)/(-2*sqrt(9))).
4*sqrt(17)
Simplify 6*(sqrt(162) - -6*-3*sqrt(162))**2*-2*-6.
3370896
Simplify (-3 + sqrt(18)/(sqrt(9)*-3))**2 + ((-1 + sqrt(8)/sqrt(4))*1)**2.
110/9
Simplify 1*(2*(sqrt(133) + (sqrt(133) - sqrt(133)*2)))/(sqrt(84)/sqrt(48)).
0
Simplify -6*((sqrt(20) + -6*-1*sqrt(20))/(sqrt(40)*-6))**2.
-49/12
Simplify ((-5 + sqrt(468) + 2 - (sqrt(468) + 0 + -2)) + -3 + 3*(sqrt(468) + sqrt(468) + -3*sqrt(468)))**2.
144*sqrt(13) + 4228
Simplify (6*(3 + sqrt(153) + -2*sqrt(153)*2 + sqrt(153)*-4 + 1))**2.
-6048*sqrt(17) + 270468
Simplify ((sqrt(156) + 3*(sqrt(156) + -1*sqrt(156)) + sqrt(156) - sqrt(156)) + -5*sqrt(156)*2)/((2*(sqrt(96) - -3*sqrt(96)))/sqrt(8)).
-9*sqrt(13)/8
Simplify (-1*((sqrt(833) - 2*sqrt(833)*4) + sqrt(833) - (-4 + sqrt(833) + 0)))**2.
-392*sqrt(17) + 40833
Simplify (6*-4*(1*sqrt(2592) - sqrt(2592))*-4)**2.
0
Simplify (-4*(sqrt(130)*-1 - sqrt(130))/sqrt(10) - (sqrt(52) + sqrt(832) + -1))**2*-6.
-318 + 24*sqrt(13)
Simplify -5*(sqrt(165)/(sqrt(3) + sqrt(3) + sqrt(3) + (sqrt(3) - sqrt(15)/sqrt(5))))/((sqrt(5) + sqrt(10)/sqrt(2))*6)*1.
-5*sqrt(11)/36
Simplify (sqrt(567) + sqrt(35)/sqrt(5)*6)**2 - ((sqrt(14) - sqrt(56)/sqrt(4))/sqrt(2) + (-3*sqrt(448) + sqrt(448) - sqrt(448))).
24*sqrt(7) + 1575
Simplify (5 + sqrt(3)*2 - (-2 + sqrt(12)/sqrt(4))) + 6*(sqrt(75)*2 + sqrt(3)).
7 + 67*sqrt(3)
Simplify (2*sqrt(1664)*2)/((3*sqrt(24)/sqrt(2))/sqrt(6)).
32*sqrt(13)/3
Simplify -1*(6*(-1 + sqrt(475))*4*4)**2.
-4386816 + 92160*sqrt(19)
Simplify (5*((-1*sqrt(75) - sqrt(75)) + 2 + sqrt(75)*1*-1 - (2 + (-1 + sqrt(75))*-1)))**2.
500*sqrt(3) + 7525
Simplify -5 + (1*(sqrt(245) + sqrt(245) + sqrt(245)*-1)*4*1)**2 + 3.
3918
Simplify ((-2*sqrt(6) - sqrt(6))*-1)/sqrt(2) - (sqrt(48)*-4 + (-3*sqrt(3)*1 - sqrt(3)))**2.
-1200 + 3*sqrt(3)
Simplify
|
{
"pile_set_name": "DM Mathematics"
}
|
2 + 2*w - 3. Let c be d(-5). Suppose -44 = -18*q + 7*q. What is the second derivative of 9*t - 5*t**q - 16*t**4 + c*t**4 wrt t?
-108*t**2
Let y(l) be the first derivative of -5/12*l**4 + l**2 + 0*l**3 + 2 + 2*l. Let z(i) be the first derivative of y(i). Find the first derivative of z(u) wrt u.
-10*u
Let d(b) be the third derivative of 147*b**6/40 + b**4/3 - b**3/3 - 665*b**2. What is the second derivative of d(l) wrt l?
2646*l
Let z(n) = -n**3 + 30*n**2 + 32*n - 29. Let l be z(31). Let i(b) be the second derivative of -b - 1/2*b**3 - b**l + 0. Differentiate i(a) with respect to a.
-3
Let r = 13 - 13. Suppose r = -2*k + q - 4 + 10, -5*k + 15 = 4*q. Differentiate 6 - 5*v**3 + 0*v - 3*v + k*v wrt v.
-15*v**2
Let g(p) = 3*p**2 - p - 2. Let y(i) = -188*i**2 + 608*i - 4. Let r(t) = 2*g(t) - y(t). What is the second derivative of r(x) wrt x?
388
Let d be (6/36*-8)/((-4)/9). Find the third derivative of 0*i**d + 4*i**2 - i**3 - 16*i**3 + i**3 wrt i.
-96
Let b(f) be the first derivative of -7*f**3 + 29*f**2/2 - 2*f + 43. Find the second derivative of b(q) wrt q.
-42
Let r(u) be the first derivative of 10/3*u**3 + 7/2*u**4 + 0*u - 8 + 0*u**2. Find the third derivative of r(q) wrt q.
84
Let u be (-3 - 0/1) + 10. Let g = u - 4. What is the second derivative of -g*t**4 + 0*t**4 - 2*t + 0*t**4 - 3*t wrt t?
-36*t**2
Let m(i) = -137*i**4 - 6*i**2 - 457*i + 3. Let p(t) = 135*t**4 + 8*t**2 + 458*t - 4. Let u(w) = 4*m(w) + 3*p(w). Find the second derivative of u(q) wrt q.
-1716*q**2
Let b(f) be the third derivative of 0*f + 0 + 0*f**3 + 1/4*f**5 + 0*f**6 + 0*f**4 + 18*f**2 + 11/210*f**7. Find the third derivative of b(x) wrt x.
264*x
Let l(g) = 73*g**4 + 135*g**2 + 5. Let c(q) = 801*q**4 + 1485*q**2 + 54. Let f(v) = 5*c(v) - 54*l(v). Find the third derivative of f(n) wrt n.
1512*n
Suppose -10 = -q + n, -4*n + 85 = 4*q + 13. Let c = q + -13. Find the first derivative of -2 + 3*b**3 + 7 + c wrt b.
9*b**2
Suppose 0 = 2*f - 4 - 6. Suppose f*s - 3*b - 23 = -b, -12 = 3*b. What is the second derivative of 5 - 5 + 27*w**2 - 28*w**2 - s*w wrt w?
-2
Suppose 0 = -4*v + 53 - 17. Let p be (-2)/v + 94/18. What is the third derivative of 0*a**2 + 0*a**2 - a**p + 5*a**5 + 3*a**2 wrt a?
240*a**2
Let h(x) be the second derivative of -101*x**7/42 - 25*x**3/6 - 3*x**2/2 - 12*x. Find the second derivative of h(g) wrt g.
-2020*g**3
Let u(y) be the first derivative of 33*y**2/2 - 38*y + 49. What is the derivative of u(l) wrt l?
33
Let o(p) = -32*p**2 - p + 18. Let n(m) = 32*m**2 + 2*m - 18. Let c(a) = 2*n(a) + 3*o(a). What is the derivative of c(r) wrt r?
-64*r + 1
Let w(k) be the first derivative of -5*k**7/14 - 7*k**3/6 - 14*k - 17. Let l(z) be the first derivative of w(z). What is the second derivative of l(m) wrt m?
-300*m**3
Let b(f) = -2*f**2 + 5*f + 4. Let x be b(4). Let d be x/(-36) + (-16)/(-9). Differentiate d*s + 3*s - 3*s + 0*s + 2 wrt s.
2
Suppose 0 = -k - 4, -5*k - 6 = 2*z - 2*k. Suppose -12*c - 36 = -30*c. Find the third derivative of 5*b**c + z*b**2 - 10*b**6 - 2*b**6 wrt b.
-1440*b**3
Let g(a) be the second derivative of a**5/15 + 17*a**3/6 - 5*a**2/2 + 18*a. Let x(d) be the first derivative of g(d). Differentiate x(i) with respect to i.
8*i
Let h(k) be the third derivative of -227*k**4/24 + 103*k**3/2 - 231*k**2. Differentiate h(y) wrt y.
-227
Let r(p) = p**2. Let y(l) = 53*l**2 - l - 16. Let k(h) = 3*r(h) + y(h). What is the first derivative of k(o) wrt o?
112*o - 1
Suppose n = 6*n + 3*a - 32, -a = -n. What is the second derivative of 4*g + 7*g**4 - 11*g + 2*g**n - 2*g wrt g?
108*g**2
Let h(b) = 2*b - 11. Let x be h(7). Let d(o) be the first derivative of -4 + 4*o**5 + 0 - 7*o - x*o**5. Find the first derivative of d(u) wrt u.
20*u**3
What is the third derivative of -6*o**5 + 3*o**3 - o**3 + 9*o**2 - 770*o + 769*o wrt o?
-360*o**2 + 12
Suppose -3*y - 6 = -3*f - 0*y, 3*y = 5*f - 16. Suppose f*u = 2*r + 10, 25 = -r - 4*r. Differentiate x - 2 + u*x + 0*x with respect to x.
1
Let a(f) be the second derivative of f**7/14 + 7*f**4/12 - f**3/2 + 11*f**2/2 + 6*f + 4. Find the second derivative of a(p) wrt p.
60*p**3 + 14
Find the third derivative of 9574*j - 9574*j + 5*j**4 - 5*j**4 + 24*j**5 + 8*j**3 - 471*j**2 wrt j.
1440*j**2 + 48
Let j be (3/(-3))/(2 + 7/(-3)). Let k(o) be the first derivative of -1/4*o**4 + 0*o + 0*o**2 - 5 + o**j. What is the third derivative of k(u) wrt u?
-6
Let s(o) be the first derivative of o**5 + 32*o**3 + 136. Find the third derivative of s(h) wrt h.
120*h
Let p(w) = -2*w + 2. Let h be p(-8). Suppose -12 = -5*d + h. Find the first derivative of -2*n + d - 29*n**3 + 34*n**3 + 2*n wrt n.
15*n**2
Find the second derivative of -8 + 19 + 34*z + 15*z - 8 + 25*z - 127*z**2 wrt z.
-254
Let m be 925/55 + (24/(-33))/(-4). What is the third derivative of -6*d**2 + 31*d**2 - 7*d**4 - m*d**2 wrt d?
-168*d
Let i(q) be the second derivative of -q**7/14 + 11*q**5/20 - q**4/6 + q**3/6 + 2*q + 30. What is the third derivative of i(r) wrt r?
-180*r**2 + 66
Find the first derivative of 14 - 285 - 159 + 150 + 136*t - 225 wrt t.
136
Let v(a) = -18*a + 196. Let d(l) = -23*l + 197. Let j(c) = 6*d(c) - 7*v(c). What is the first derivative of j(g) wrt g?
-12
Let s(f) be the second derivative of 0*f**4 + 0 + 5*f**2 + 1/10*f**6 + 12*f + 0*f**3 + 0*f**5. Differentiate s(j) wrt j.
12*j**3
Let i(z) be the first derivative of 236*z**7/7 + 109*z**3/3 + 246. Find the third derivative of i(t) wrt t.
28320*t**3
Let f(a) be the first derivative of -a**3 + 11/2*a**2 - 12 + 0*a. What is the second derivative of f(l) wrt l?
-6
Let g(l) be the first derivative of l**6 + 12*l**5/5 + 8*l**3/3 + 5*l**2/2 + 29. Find the third derivative of g(w) wrt w.
360*w**2 + 288*w
What is the third derivative of 38*d**3 - 3*d**6 - 101*d**2 - 107*d**3 + 2*d**6 + 47*d**3 wrt d?
-120*d**3 - 132
Let h(g) = g**3 - 15*g**2 + 16*g - 19. Let z be h(14). What is the derivative of -6*v - 7 - 7 - z*v + 7*v wrt v?
-8
Let y(w) be the third derivative of -51*w**2 + 0*w + 29/120*w**6 + 0*w**4 + 0*w**5 + 0 - 13/3*w**3. Differentiate y(n) with respect to n.
87*n**2
Let z be (-2)/14 + (-116)/(-28). Suppose -4*f = -5*b, -23 = -z*f - 2*b + 5. Differentiate -2 + f - 5 + 3 + 5*m wrt m.
5
Let y(l) = -3*l + 2*l**2 + 2*l - 3*l**2. Let p(u) = 20*u - 14*u + 4*u + 3*u**2 + 3*u**2. Let a(d) = p(d) + 4*y(d). What is the second derivative of a(g) wrt g?
4
What is the second derivative of 494*t**2 + 386*t**2 - 228*t**2 - 2*t + 280*t**2 - 186*t**2 + 22 wrt t?
1492
Let n(c) be the second derivative of c**5/20 - c**4/2 + c**3/3 + 11*c**2 - 2*c + 39. Find the second derivative of n(o) wrt o.
6*o - 12
Find the second derivative of 819*j - 36*j**4 + 631*j - 2*j**3 - 1227*j wrt j.
-432*j**2 - 12*j
Let g(h) be the first derivative of -56*h**5/5 - 89*h**3/3 + 15. What is the third derivative of g(m) wrt m?
-1344*m
Let w(i) = -130*i + 170. Let x(f) = f - 3. Let b(o) = -2*w(o) - 50*x(o). Differentiate b(n) with respect to n.
210
Let m(c) = -2*c - 7. Let p be m(-6). Find the third derivative of p*n**6 - 11*n**2 + n**2 + n**6 wrt n.
720*n**3
Suppose 29*v - 18 - 40 = 0. Let q(a) be the third derivative of 0 + v*a**2 - 7/24*a**4 + 4/3*a**3 + 0*a. Differentiate q(p) with respect to p.
-7
Suppose -95 = -3*f - 5*c, -4*c + c = -f + 27. Find the third derivative of 9*m**2 - 57*m**3 + f*m**3 + 41*m**3 wrt m.
84
Let o(h) be the second derivative of 17/10*h**5 + 0 + 0*h**2 - 21*h + 0*h**3 - 13/6*h**4. What is the third derivative of o(y) wrt y?
204
Let a(s) be the second derivative of 40*s**7/21 - 31*s**3/6 - 3*s**2/2 - 177*s. What is the second derivative of a(w) wrt w?
1600*w**3
Suppose 0 = -0*b + 3*b - 12. Find the second derivative of 3*f + f + f - 14*f**b wrt f.
-168*f**2
Differentiate -2747 - 16*d**3 - 2*d + 2*d + 2948 wrt d.
-48*d**2
Differentiate 2*f**2 + 41*f**3 + 2*f**2 - 3*f**2 - 24 - 73 with respect to f.
123*f**2 + 2*f
Find the third derivative of 1113 - 6*x**2 - 1108 - 29*x**3 - 72*x**3 - 9*x**2 + 4*x**2 wrt x.
-606
Let w(h) be the second derivative of -189*h**5/20 - 4*h**4/3 + 65*h. What is the third derivative of w(v) wrt v?
-1134
Suppose 6*w = 2*w - 3*q + 14, 5*q = 5*w. Find the third derivative of 5*z**6 + 6*z**w + 20*z**2 - 13*z**2 wrt z.
600*z**3
Suppose -g + 0*g + 2 = -s, 0 = -5*s - 3*g + 30. Find the second derivative of 66*x**3
|
{
"pile_set_name": "DM Mathematics"
}
|
nt from {z: 3, c: 1, n: 11, y: 4}. What is prob of picking 3 n and 1 c?
55/1292
Calculate prob of picking 1 l and 1 t when two letters picked without replacement from {e: 1, q: 2, b: 1, t: 5, l: 2, z: 2}.
5/39
Two letters picked without replacement from {w: 1, t: 1, z: 1, k: 2}. What is prob of picking 1 k and 1 w?
1/5
Four letters picked without replacement from {d: 2, c: 4, o: 4, f: 2, k: 1, j: 2}. What is prob of picking 2 c, 1 j, and 1 o?
16/455
Three letters picked without replacement from {v: 7, z: 3}. Give prob of picking 3 z.
1/120
Calculate prob of picking 2 l and 1 v when three letters picked without replacement from {v: 2, u: 6, e: 2, p: 1, l: 5}.
1/28
Calculate prob of picking 1 u, 1 l, and 2 z when four letters picked without replacement from {z: 9, u: 3, l: 4, b: 2}.
12/85
Two letters picked without replacement from ujujujujuujju. Give prob of picking 1 u and 1 j.
7/13
Three letters picked without replacement from {w: 3, c: 1, r: 3, v: 5, z: 1}. Give prob of picking 2 z and 1 r.
0
Three letters picked without replacement from {w: 6, d: 5, j: 3, t: 1, o: 1, p: 1}. What is prob of picking 2 j and 1 t?
3/680
Two letters picked without replacement from {e: 2, s: 1}. Give prob of picking 1 e and 1 s.
2/3
What is prob of picking 1 h and 1 m when two letters picked without replacement from hmbmucmmmbmutbmubh?
14/153
Calculate prob of picking 2 x and 2 q when four letters picked without replacement from {x: 4, q: 6}.
3/7
Calculate prob of picking 2 c and 1 o when three letters picked without replacement from {o: 1, c: 8, f: 8}.
7/170
Four letters picked without replacement from {a: 16, h: 2}. What is prob of picking 4 a?
91/153
Calculate prob of picking 2 w when two letters picked without replacement from {n: 4, w: 7}.
21/55
Calculate prob of picking 2 y, 1 k, and 1 e when four letters picked without replacement from mekfmyykkmefey.
27/1001
Two letters picked without replacement from jvyiiyvidy. What is prob of picking 1 i and 1 v?
2/15
Calculate prob of picking 1 o and 1 t when two letters picked without replacement from {t: 3, o: 11, c: 4}.
11/51
Calculate prob of picking 1 j, 1 f, 1 w, and 1 x when four letters picked without replacement from fxjjkfjjjfjjfjwfjuwj.
20/969
What is prob of picking 1 m and 2 t when three letters picked without replacement from mmttm?
3/10
What is prob of picking 2 o when two letters picked without replacement from {o: 9}?
1
Three letters picked without replacement from dnitdfsindnd. Give prob of picking 1 s and 2 n.
3/220
Calculate prob of picking 4 k when four letters picked without replacement from rrkkpbkk.
1/70
Two letters picked without replacement from {k: 3, r: 1, z: 3, x: 3, n: 1}. What is prob of picking 2 k?
3/55
What is prob of picking 2 a, 1 c, and 1 l when four letters picked without replacement from {a: 4, p: 3, c: 1, f: 4, l: 1, m: 1}?
6/1001
Four letters picked without replacement from xuxdddcxzddzs. Give prob of picking 2 z, 1 s, and 1 u.
1/715
Two letters picked without replacement from {d: 3, v: 2}. Give prob of picking 2 d.
3/10
What is prob of picking 1 s, 2 g, and 1 i when four letters picked without replacement from sbgqsii?
0
Calculate prob of picking 2 y when two letters picked without replacement from {g: 3, y: 2, t: 1, p: 1}.
1/21
What is prob of picking 4 o when four letters picked without replacement from oooooooooopoopoooooo?
12/19
What is prob of picking 2 t and 2 e when four letters picked without replacement from ttedeetd?
9/70
Two letters picked without replacement from {m: 1, b: 2, h: 1, k: 1}. Give prob of picking 2 b.
1/10
Three letters picked without replacement from hmhsllhhhmkhlmmslhll. Give prob of picking 1 m and 2 h.
7/95
Four letters picked without replacement from rhddeiewrrwriw. What is prob of picking 1 d, 1 h, and 2 e?
2/1001
Calculate prob of picking 1 m and 1 t when two letters picked without replacement from mmtwmtm.
8/21
Calculate prob of picking 2 e when two letters picked without replacement from ere.
1/3
What is prob of picking 3 t when three letters picked without replacement from ccccccccctcctctccc?
1/816
What is prob of picking 2 m, 1 g, and 1 x when four letters picked without replacement from mximxximmmxgmxmm?
1/13
Three letters picked without replacement from {a: 3, d: 4, o: 1}. What is prob of picking 2 d and 1 o?
3/28
Three letters picked without replacement from {d: 1, l: 1, e: 1, t: 2}. What is prob of picking 1 l, 1 d, and 1 e?
1/10
Four letters picked without replacement from gzdzdzgzdzd. What is prob of picking 1 g, 2 z, and 1 d?
8/33
Three letters picked without replacement from osxondfxf. What is prob of picking 2 f and 1 n?
1/84
Calculate prob of picking 3 e when three letters picked without replacement from {g: 3, k: 2, t: 2, e: 6}.
10/143
Three letters picked without replacement from {n: 1, h: 3, a: 2, c: 1, o: 4}. What is prob of picking 1 c, 1 n, and 1 o?
4/165
Calculate prob of picking 1 l and 1 j when two letters picked without replacement from {l: 1, b: 2, s: 1, j: 1, t: 1, g: 1}.
1/21
What is prob of picking 2 z when two letters picked without replacement from {z: 6, q: 6}?
5/22
Three letters picked without replacement from {p: 1, s: 3, o: 4, f: 2, q: 1, j: 1}. Give prob of picking 1 j, 1 f, and 1 o.
2/55
Two letters picked without replacement from {q: 1, p: 1, v: 1, o: 2}. What is prob of picking 1 o and 1 p?
1/5
Three letters picked without replacement from {m: 2, h: 13, r: 3}. What is prob of picking 2 m and 1 h?
13/816
Two letters picked without replacement from {g: 4, i: 16}. Give prob of picking 1 g and 1 i.
32/95
What is prob of picking 1 a and 1 i when two letters picked without replacement from {e: 1, i: 2, a: 3, v: 4, d: 2}?
1/11
Two letters picked without replacement from {s: 4, q: 1, j: 2, f: 6}. Give prob of picking 1 f and 1 s.
4/13
What is prob of picking 2 s and 2 e when four letters picked without replacement from {e: 6, s: 2, r: 1, c: 3}?
1/33
Two letters picked without replacement from {m: 1, q: 1, v: 2}. What is prob of picking 1 m and 1 v?
1/3
Calculate prob of picking 1 g, 1 o, and 1 a when three letters picked without replacement from {o: 2, a: 1, g: 2}.
2/5
What is prob of picking 1 j and 1 n when two letters picked without replacement from cceeneetjccee?
1/78
Four letters picked without replacement from bbfbbbbb. Give prob of picking 4 b.
1/2
What is prob of picking 2 f and 1 z when three letters picked without replacement from {f: 2, z: 2, i: 1, l: 1, s: 1}?
2/35
Calculate prob of picking 2 e and 1 p when three letters picked without replacement from {p: 2, e: 2, i: 5, k: 3}.
1/110
Two letters picked without replacement from {v: 6, l: 3, s: 1, n: 9}. Give prob of picking 1 s and 1 l.
1/57
Calculate prob of picking 1 u, 1 i, and 1 f when three letters picked without replacement from {f: 1, l: 3, i: 1, u: 1, p: 1}.
1/35
Three letters picked without replacement from {o: 3, m: 4, d: 1, t: 3, j: 3, i: 1}. Give prob of picking 1 m and 2 j.
12/455
Two letters picked without replacement from {g: 3, o: 11, a: 1, b: 5}. Give prob of picking 1 b and 1 o.
11/38
What is prob of picking 1 n and 3 d when four letters picked without replacement from {e: 4, n: 2, i: 4, g: 3, d: 3, h: 2}?
1/1530
Calculate prob of picking 1 i and 1 e when two letters picked without replacement from dkybybbdeiy.
1/55
What is prob of picking 2 y and 1 f when three letters picked without replacement from ffffffyffyf?
3/55
Three letters picked without replacement from xlllkllzzzkszzxzkxnk. What is prob of picking 1 x and 2 k?
3/190
Calculate prob of picking 2 o when two letters picked without replacement from iwoieywowywu.
1/66
Calculate prob of picking 1 w and 1 x when two letters picked without replacement from {x: 1, i: 4, d: 2, w: 2}.
1/18
Calculate prob of picking 1 j and 1 u when two letters picked without replacement from jjuuggujjjggju.
24/91
Four letters picked without replacement from {q: 7, s: 9, j: 3}. Give prob of picking 3 j and 1 s.
3/1292
Calculate prob of picking 1 h and 1 j when two letters picked without replacement from jhjhjhjhjj.
8/15
Three letters picked without replacement from nnnnnnnnnnnnnknnnnk. What is prob of picking 1 n and 2 k?
1/57
What is prob of picking 1 j and 1 l when two letters picked without replac
|
{
"pile_set_name": "DM Mathematics"
}
|
Let z = -19 - -9. Put p, 2, z in descending order.
p, 2, z
Let p be -4 + (162/26)/(39/26). Sort -5, -1, p, -2/3 in ascending order.
-5, -1, -2/3, p
Let i be (-1 - 1)/2 + 0. Let y = -5980 - -5977. Sort y, 2, i, 3.
y, i, 2, 3
Let a be 2/(-13) + (168/78)/1. Suppose 3*j + a = 4*v, -3*v - 1 = -2*j - 3. Put -1, v, 5, 1 in descending order.
5, v, 1, -1
Suppose 0 = 12*p - 27 - 153. Suppose o - 1 + 6 = 0. Sort o, -1, p in descending order.
p, -1, o
Let q = 8 + -4. Let k = -193 - -191. Sort q, k, -7.
-7, k, q
Let z be 2 - (3 + (-1)/1). Suppose z*w = 5*w - 30. Let v(l) = 19*l + 434. Let j be v(-23). Sort j, 5, w in descending order.
w, 5, j
Let r = -35 + 28. Sort r, -1/3, 0.2 in decreasing order.
0.2, -1/3, r
Let c = -0.1 + 1.1. Let d = -1.3 + 3. Let g = d + 3.3. Sort c, -5, g in ascending order.
-5, c, g
Let t(r) = -r**3 - 6*r**2 - 4*r + 10. Let q be t(-5). Suppose -q*s + 0*s = 2*s. Let h = -0.3 - 0. Sort h, s, -1/2.
-1/2, h, s
Suppose 39*i = 59 - 14 + 72. Let l be (3/3)/((-1)/4). Sort 0, l, i, -1 in descending order.
i, 0, -1, l
Let z(f) be the second derivative of f**4/12 + f**3 + f. Suppose -3*k + 25 = -5*l, 2*l + 15 = -l + 5*k. Let y be z(l). Put 0.1, -0.5, y in decreasing order.
0.1, -0.5, y
Let g(j) = -4*j**3 - 4*j**2 + j + 2. Let f(s) = s**3 + 1. Let a(p) = -3*f(p) - g(p). Let m be a(-4). Let x = -3.204 + 2.804. Put 2, m, x in decreasing order.
2, x, m
Suppose -c - 4*c = -20. Suppose 3*x = -2*h + 12, 2*x + c + 4 = 4*h. Sort x, -10, 4 in decreasing order.
4, x, -10
Suppose -4*k + 46 = -4*t - 5*k, -3*k = 3*t + 30. Let o = -7 - t. Suppose o = -2*u + 3. Sort -2, 2, u.
-2, u, 2
Let u = 20 + -20.2. Let o(c) = -c + 5. Let g be o(5). Put u, -3/2, g in decreasing order.
g, u, -3/2
Suppose n - 7 = -3. Let s(x) = -x**3 + 3*x**2 + 5*x. Let d be s(4). Suppose 5*f + 6 = -2*h - 4, -d*h = 2*f - 12. Sort f, n, 0 in ascending order.
f, 0, n
Let r be (-12)/56*((-64)/12)/(-8). Sort r, 1/8, -4, 2 in ascending order.
-4, r, 1/8, 2
Let d be -70*(-6 - 196/(-35)). Sort 4, 1, d, 2 in descending order.
d, 4, 2, 1
Let v = 3 - 1. Suppose -9*z + 2 - 92 = 0. Sort v, -5, z in increasing order.
z, -5, v
Suppose 46 = -2*b + 48. Let o(f) = f**2 - 5*f - 4. Let y be o(5). Put y, -5, b in decreasing order.
b, y, -5
Suppose -m = -5*z - 2, -2*z - z + 4*m = 8. Suppose 4*i + 12 = -z*i. Suppose 0 = -k - 5. Put i, 3, k in descending order.
3, i, k
Suppose 5*w = -4 - 1. Let a be (28 + -32)*(-14)/8. Put a, 4, 0, w in increasing order.
w, 0, 4, a
Let c(k) = -k**3 + 5*k**2 + 24*k + 3. Let i be c(8). Suppose 30 = -i*v + 39. Put -1, v, 2 in decreasing order.
v, 2, -1
Let v(g) = g**2 + 59*g + 265. Let p be v(-54). Put 52, 5, p, 4 in descending order.
52, 5, 4, p
Let h = -18.58 + 35.58. Sort -2/3, 7, h in decreasing order.
h, 7, -2/3
Suppose 0 = 2*g + 4*g - 2*g. Put -5, 7, g, -3 in increasing order.
-5, -3, g, 7
Let u be 34/12 + 51/(-34). Sort u, -5, -1/2 in descending order.
u, -1/2, -5
Let y(m) = -m**3 - 32*m**2 + 107*m + 75. Let i be y(-35). Sort i, 359, -1 in increasing order.
-1, i, 359
Let m = 1925 - 1930. Put m, 4, -18 in increasing order.
-18, m, 4
Let k be -3 + -8*((-51)/36 - -1). Put 19, -5/3, k in descending order.
19, k, -5/3
Let z = 0.3 - 0.1. Let y = -1361.6 - -1362. Sort 2, y, z, -5.
-5, z, y, 2
Let t be (14/(-35))/(1/(-10)). Suppose 0 = -4*r - t*l + 4, -4*r + 3 = 2*l + 3*l. Let o be (r + -3)/((-6)/(-42)). Put -4, 0, o in decreasing order.
0, -4, o
Let o = -1032.3 + 1089. Let g = 57 - o. Let c be 2/4 + (1 - 2). Sort 3, g, c.
c, g, 3
Suppose -q = -i - 6*q - 16, -4*q - 8 = 2*i. Suppose 0 = 5*b, -3*x + i = -4*x + 5*b. Put 0, -3, x in descending order.
0, -3, x
Let i(p) = 17*p**3 - 2*p**2 + 1. Let d be i(-1). Let g = 8 + d. Let a be (-6)/9*(-6)/g. Put a, 5, 4/7 in increasing order.
a, 4/7, 5
Let t = 268.3 + -268. Put 2, 2/59, t in ascending order.
2/59, t, 2
Suppose 0 = -n - 0*n + 4. Let x(d) = -d**3 - 10*d**2 - 10*d - 13. Suppose 3*m + 39 = -3*t, -t = -3*m + 1 - 4. Let i be x(t). Put 0, i, n in decreasing order.
n, 0, i
Let l = 35 + -58. Let o = l + 12. Put o, 5, -4 in descending order.
5, -4, o
Let a be -2 + (0 - 0 - 0). Let i be (-90)/165*(-11)/2. Put i, -7, a, 1 in increasing order.
-7, a, 1, i
Let q be -4 - (1 + -2 - -2). Suppose 4*l - 2*c + 17 = 5, -3*c + 10 = 2*l. Put l, 1, q in descending order.
1, l, q
Let v = -0.14 + 0. Let l = v + 0.27. Let j = l + -5.13. Put 3, 4, j in increasing order.
j, 3, 4
Suppose 64*u - 54*u + 3010 = 0. Put -4, u, 3 in decreasing order.
3, -4, u
Let f be 260/(-6) - (80/(-15) + 6). Let t = f - -46. Put -2, t, 3, -1 in decreasing order.
3, t, -1, -2
Suppose 0*j + 2 = -2*j + 4*v, -3*v + 26 = 2*j. Suppose 5 - j = c. Let b be (-86)/(-82) - (-1 - c). Sort 3, -5, b.
-5, b, 3
Let x = 0.64 - 0.18. Let g = x - -0.04. Let k = -0.04 - 2.96. Sort k, -6, g in ascending order.
-6, k, g
Let h be (-105)/140 + 295/(-4). Let k = -72 - h. Let a(l) = -l**3 + 5*l**2 + 6*l. Let g be a(6). Sort -2, g, k in descending order.
k, g, -2
Let c = -816 - -798. Put c, 5, -5 in decreasing order.
5, -5, c
Let h = 15.1 + -10.1. Let n = -35/4 + 9. Sort n, -3/2, h in ascending order.
-3/2, n, h
Suppose a = -4*a + 20. Suppose a*j = 3*j - 2. Suppose -q - 9 = 5*z, -2*z + 5*z = -6. Put j, q, 5 in descending order.
5, q, j
Let w be 2 + (6/9)/((-10)/75). Put 6, 2, -1, w in descending order.
6, 2, -1, w
Suppose -163*k + 12 = -166*k. Suppose 0*z = -z + 3. Let b = z + 0. Sort b, k, 2 in ascending order.
k, 2, b
Suppose -3*b + 2*b = n, 0 = 5*n - 3*b. Sort -1, 2, n.
-1, n, 2
Suppose -2*j + 9 = -9. Suppose -j = 4*r - 1. Put -0.05, -5, r in decreasing order.
-0.05, r, -5
Let m = 0.0495 + -25.3495. Let c = 25 + m. Let n = 20 - 16. Sort -5, c, n in ascending order.
-5, c, n
Let c = -0.64 - 6.36. Let m = -21 + 25.85. Let a = -0.15 - m. Put a, -0.3, c in increasing order.
c, a, -0.3
Let f(v) = -4*v + 3. Let i be f(3). Let t = 14 + i. Let c = 97 - 99. Put -3, t, c in descending order.
t, c, -3
Suppose 5*l - m = 5, -5*l - 8 = 2*m - 28. Let p be (36/(-15))/(3/(-20))*-1. Let v be -4 - -8 - p/(-6). Put l, 0, v in decreasing order.
l, v, 0
Let u(o) = o**3 + 17*o**2 + 32*o + 35. Let s be u(-15). Let v = -6 - -9. Suppose 0 = -2*l + 5*c + 2 + 16, l - c = 6. Sort v, s, l in decreasing order.
s, l, v
Let k = -0.2 - -0.39. Let a = k - -0.01. Put a, 0, -0.2 in decreasing order.
a, 0, -0.2
Suppose 0 = -2*g + 6*g - 16. Suppose 4*k + 0*k = -g*n - 20, 0 = -k - 4*n - 8. Let y be k/4 - 2/2. Sort -3, y, 4 in descending order.
4, y, -3
Let r(z) = 18*z - 443. Let j be r(24). Sort j, 4, 15 in descending order.
15, 4, j
Let h = -524/831 + -10/277. Sort 29, -1/10, h in increasing order.
h, -1/10, 29
Let v = -2335 - -2342. Put v, 5, -1 in descending order.
v, 5, -1
Let p = 252 - 259. Sort -5, p, 2, -3 in increasing order.
p, -5, -3, 2
Let u = -3215 - -3216. Let a(i) = 3*i + 5. Let r be a(-4). Put u, -1, r in ascending order.
r, -1, u
Suppose -30 + 3 = -3*d. Suppose -2*i = -0*i - 3*n - 17, 3*n = -d. Suppose i*y + 50 = 9*y. Put y, -2, -5 in increasing order.
-5, -2, y
Let t be 169/130 + (-3)/2. Let o = 382 + -382. Put o, -0.5, -4, t in decreasing order.
o, t, -0.5, -4
Let c = 2125.7 - 2126. Sort c, 2/9, -2, 0.34 in decreasing order.
0.34, 2/9, c, -2
Let z(a) = -a**3 + 8*a**2 - 8*a + 10. Let k be z(7). Suppose v = -v + 22. Let w = -12 + v. Sort 1, k, w in descending order.
k, 1, w
Suppose 98 - 302 = -68*j. Sort 19, -5, -1/27, j.
-5, -1/27, j, 19
Suppose 15 = -3*p - 2*o, 2*o = -p - p - 10. Let t = 2.86 - -0.14. Sort t, p, 1/3, 1/4 in increasing order.
p, 1/4, 1/3, t
Suppose 3*g - 13 = -0*g - c, -2*c = -2*g - 2. Let m be g + -9 + (-6)/(-2). Suppose 10*p = 15*p + 5. Sort -2, p, m.
m, -2, p
Let u = 1.05 + -6.05. Let q = 298.94 - 302. Let g = q + 0.06. Sort g, u, -2 in increasing order.
u, g, -2
Let a(n) = 8*n**2 + n - 4. Let b(g) = -g**3 + g - 1. Let j(o) = a(o) - b(o). Let y be j(-8). Suppose 6*l - 24 = -6. Sort l, -4, y in decreasing order.
l, y, -4
Suppose 0 = 5*a - 19 - 1. Suppose 0 - 12 = -a*v. Suppose -2*d = v*d. Put -3, d, 5 in ascending order.
-3, d, 5
Let t(d) = d**3 - 25*d**2 + 23*d + 22. Let z be t(24). Sort -3, 3, z, 0.
-3, z, 0, 3
Let h be ((-36)/42)/(5 + (-335)/70). Sort 0, h, -212 in decreasing order.
0, h, -212
Let g = 42 - 38. Sort g, 19, 3 in increasing order.
3, g, 19
Let w = -10 - -7. Suppose 6 = 3*r + 24. Let p
|
{
"pile_set_name": "DM Mathematics"
}
|
te?
True
Is 44167 a prime number?
False
Is 117389 prime?
True
Is 20993 a prime number?
False
Is 39607 a prime number?
True
Is 43919 a composite number?
True
Is 12689 a composite number?
False
Is 210331 composite?
True
Is 5179 a prime number?
True
Is 49493 a composite number?
True
Is 1657 prime?
True
Is 36103 a composite number?
True
Is 1391011 a composite number?
False
Is 164482 composite?
True
Is 8753 a composite number?
False
Is 4397 prime?
True
Is 13507 prime?
False
Is 220937 prime?
False
Is 1949 prime?
True
Is 335105 composite?
True
Is 78779 a composite number?
False
Is 178957 a prime number?
False
Is 10559 a composite number?
False
Is 911 a composite number?
False
Is 79 a prime number?
True
Is 66571 a prime number?
True
Is 52835 composite?
True
Is 259949 a composite number?
False
Is 59635 a composite number?
True
Is 10123 prime?
False
Is 191 a prime number?
True
Is 346705 a prime number?
False
Is 9689 a prime number?
True
Is 510661 prime?
False
Is 17093 composite?
False
Is 4871069 prime?
False
Is 45119 a prime number?
True
Is 198031 composite?
False
Is 21971 a composite number?
True
Is 58637 a prime number?
False
Is 292313 composite?
True
Is 951353 prime?
False
Is 66127 composite?
True
Is 416582 prime?
False
Is 614779 prime?
False
Is 12703 a prime number?
True
Is 41071 a prime number?
False
Is 3487 prime?
False
Is 646339 a prime number?
True
Is 13649 prime?
True
Is 97367 a composite number?
False
Is 36523 a prime number?
True
Is 254501 a composite number?
True
Is 1819481 composite?
False
Is 862157 a prime number?
True
Is 39777 a prime number?
False
Is 4427 composite?
True
Is 1646579 a prime number?
False
Is 3407 composite?
False
Is 61993 composite?
True
Is 53437 prime?
True
Is 231529 a prime number?
True
Is 40423 composite?
False
Is 5129 prime?
False
Is 20649 a composite number?
True
Is 18263 composite?
True
Is 216571 a composite number?
False
Is 82457 prime?
True
Is 8143 prime?
False
Is 255761 composite?
True
Is 696169 composite?
True
Is 15401 composite?
False
Is 17282 a prime number?
False
Is 41809 prime?
True
Is 5305 a composite number?
True
Is 26479 a composite number?
False
Is 34285 a composite number?
True
Is 69821 prime?
True
Is 379519 a prime number?
False
Is 6139 prime?
False
Is 20017 composite?
True
Is 106 prime?
False
Is 4987 composite?
False
Is 3403 composite?
True
Is 2949 a composite number?
True
Is 63287 prime?
False
Is 16909 a composite number?
True
Is 178355 a composite number?
True
Is 12451 prime?
True
Is 760417 a composite number?
True
Is 1543 prime?
True
Is 35603 composite?
False
Is 5251 a prime number?
False
Is 28733 a prime number?
False
Is 137927 a composite number?
False
Is 5941 composite?
True
Is 3972131 prime?
False
Is 4560631 a composite number?
False
Is 134327 prime?
True
Is 31687 a prime number?
True
Is 5447 prime?
False
Is 7789 a composite number?
False
Is 236107 prime?
True
Is 74843 prime?
True
Is 214939 composite?
False
Is 459035 a composite number?
True
Is 5627 a prime number?
False
Is 165467 composite?
True
Is 5209 composite?
False
Is 576377 a composite number?
False
Is 85171 composite?
True
Is 1495817 prime?
True
Is 621505 composite?
True
Is 745 composite?
True
Is 387831 a composite number?
True
Is 3671 composite?
False
Is 824441 a composite number?
True
Is 69743 a prime number?
False
Is 50059 composite?
True
Is 47737 a composite number?
False
Is 17729 a prime number?
True
Is 26813 a prime number?
True
Is 1444535 a composite number?
True
Is 14461 a prime number?
True
Is 1403 prime?
False
Is 64039 composite?
True
Is 2183371 a prime number?
True
Is 15943 prime?
False
Is 9989 composite?
True
Is 1019269 a composite number?
True
Is 28537 prime?
True
Is 3967 composite?
False
Is 893 a prime number?
False
Is 59317 prime?
False
Is 112703 prime?
False
Is 184307 prime?
False
Is 3042391 prime?
False
Is 16603 a composite number?
False
Is 785 composite?
True
Is 444929 composite?
False
Is 328481 composite?
False
Is 4291 a prime number?
False
Is 9543 prime?
False
Is 44177 a prime number?
False
Is 254 prime?
False
Is 9881 a composite number?
True
Is 1223951 composite?
True
Is 43 a composite number?
False
Is 89137 a composite number?
False
Is 2895571 prime?
False
Is 8147 a prime number?
True
Is 66169 a prime number?
True
Is 16963 composite?
False
Is 135319 a prime number?
True
Is 193517 prime?
False
Is 12809 prime?
True
Is 50329 a prime number?
True
Is 71563 prime?
True
Is 13163 a prime number?
True
Is 7411 prime?
True
Is 2179 a prime number?
True
Is 7897 composite?
True
Is 208067 composite?
False
Is 24859 prime?
True
Is 232745 a composite number?
True
Is 2941 a prime number?
False
Is 5899 a composite number?
True
Is 32831 a prime number?
True
Is 112171 a composite number?
True
Is 55967 a prime number?
True
Is 680999 composite?
True
Is 89542 prime?
False
Is 6037 a composite number?
False
Is 1103 a prime number?
True
Is 69253 composite?
True
Is 204623 a composite number?
False
Is 104623 prime?
True
Is 2559283 a prime number?
True
Is 6521 a prime number?
True
Is 22189 a composite number?
False
Is 20701 a prime number?
False
Is 6101 composite?
False
Is 229109 prime?
False
Is 29407 a prime number?
False
Is 67835 a prime number?
False
Is 33137 prime?
False
Is 34583 prime?
True
Is 161123 prime?
True
Is 54239 a composite number?
True
Is 192971 prime?
True
Is 10961 composite?
True
Is 55983 prime?
False
Is 521863 prime?
False
Is 2101 a composite number?
True
Is 23479 a composite number?
True
Is 2371 a composite number?
False
Is 210333 a composite number?
True
Is 381935 composite?
True
Is 35339 prime?
True
Is 188585 a prime number?
False
Is 10713 prime?
False
Is 34781 a prime number?
True
Is 190699 a prime number?
True
Is 53437 a composite number?
False
Is 5219 a prime number?
False
Is 209299 composite?
False
Is 48857 composite?
False
Is 7183 a composite number?
True
Is 1043617 a prime number?
True
Is 24793 a composite number?
False
Is 70769 composite?
False
Is 68441 prime?
False
Is 925487 a composite number?
False
Is 11917 a composite number?
True
Is 80035 a prime number?
False
Is 14189 a composite number?
True
Is 318335 prime?
False
Is 8663 prime?
True
Is 903277 a prime number?
False
Is 24379 prime?
True
Is 64483 composite?
False
Is 1950581 a prime number?
False
Is 184561 prime?
False
Is 1757 composite?
True
Is 23651 prime?
False
Is 520063 composite?
False
Is 77611 a composite number?
False
Is 107893 composite?
True
Is 24407 prime?
True
Is 379 a composite number?
False
Is 192697 prime?
True
Is 552839 a prime number?
False
Is 31967 a prime number?
False
Is 52907 prime?
False
Is 40661 a composite number?
True
Is 536879 a prime number?
False
Is 68219 prime?
True
Is 73193 a prime number?
False
Is 291251 a composite number?
True
Is 787 composite?
False
Is 30409 a composite number?
True
Is 148891 a prime number?
True
Is 2163917 a prime number?
False
Is 148207 a composite number?
False
Is 126541 composite?
False
Is 23761 composite?
False
Is 135383 a composite number?
True
Is 98391 a composite number?
True
Is 693589 a composite number?
True
Is 25539 a composite number?
True
Is 55897 prime?
True
Is 103079 a prime number?
True
Is 3643 a prime number?
True
Is 9601 prime?
True
Is 197763 a prime number?
False
Is 92681 a prime number?
True
Is 6823 a composite number?
False
Is 708113 composite?
True
Is 165899 prime?
False
Is 3382619 a prime number?
False
Is 54506 prime?
False
Is 3504221 prime?
False
Is 326 a prime number?
False
Is 102139 prime?
True
Is 7753 composite?
False
Is 38903 a prime number?
True
Is 16183 composite?
False
Is 142849 composite?
True
Is 9739 prime?
True
Is 991693 prime?
True
Is 20173 a prime number?
True
Is 5773 a composite number?
True
Is 101995 a prime number?
False
Is 4873 a prime number?
False
Is 1283063 a composite number?
False
Is 5297 prime?
True
Is 364739 a composite number?
False
Is 361357 prime?
True
Is 658447 a prime number?
True
Is 37357 a composite number?
False
Is 110989 a composite number?
False
Is 2531 composite?
False
Is 39251 prime?
True
Is 578917 a prime number?
True
Is 127217 prime?
True
Is 1369051 a prime number?
True
Is 23601 prime?
False
Is 16637 a composite number?
True
Is 62261 prime?
False
Is 21089 a prime number?
True
Is 52157 a prime number?
False
Is 363119 a composite number?
False
Is 10667
|
{
"pile_set_name": "DM Mathematics"
}
|
be j(v). Is h < -12?
False
Let d be 45/(-6)*8/(-10). Let q = -4 + d. Suppose q = -v + m, -6*v - 2*m = -2*v + 2. Does v = -1/3?
False
Let s(w) = 4 - w + w**2 + 3 - 5. Let n be s(2). Suppose -n*t + 0 = 4. Which is smaller: t or 0?
t
Let m = 17 - 9. Let l = m + -15/2. Is 4/11 not equal to l?
True
Let s(y) = y**3 + 11*y**2 + 11*y + 13. Let i be s(-10). Suppose i*f + f = 0. Which is greater: -3/5 or f?
f
Let b = -37 - -44. Which is smaller: 5 or b?
5
Let v = -21 - -10. Let q = v - -3. Is q greater than or equal to -1/2?
False
Suppose -5 = -3*y - 2*y. Let z be (y + -3)/2 - 0. Let l be 15/25*4/(-6). Which is smaller: l or z?
z
Let q be (10/15)/((-3)/(-54)). Which is greater: q or 13?
13
Suppose u - 10 = -u. Suppose -3*b + 5*x - 2 = 8, 5*b + u*x - 10 = 0. Let v = -1667/6 + 277. Is v bigger than b?
False
Let p(y) be the third derivative of -y**7/840 + y**5/60 - y**4/24 + y**3/6 - y**2. Let z(k) be the first derivative of p(k). Let c be z(1). Does 1/3 = c?
False
Let q(i) = i + 2. Let n be q(3). Let y = n + -2. Suppose -y*c + 7 = 2*o - 3, -4*o + c - 8 = 0. Which is bigger: -2 or o?
o
Suppose 2*v = 2*q - 5*q + 22, -2*v = -3*q + 2. Suppose -q*l = -4*h, -4*h + 2 = -0*l - 2*l. Which is greater: h or 2?
2
Let p be -2 + 2 + (-5 - -5). Suppose -5*f + 16 = -f. Suppose 4*y + 0 - 20 = 0, p = n + y - f. Is -3 less than or equal to n?
True
Let m(n) = n**3 - 5*n**2 + 4. Let z be m(5). Suppose c + 3*c = -z. Let s be 3/(c + (-6)/(-4)). Is 7 at least as big as s?
True
Suppose 4 - 1 = 3*r. Let k = 128244/779 + 1323/41. Let u = -197 + k. Do u and r have different values?
True
Suppose 0 = 5*g + 4*a + 31, -4*g - g + 1 = -4*a. Let p be -6*g/30*1. Suppose -3*d + k = 5*k - 22, -18 = -3*d - 3*k. Which is bigger: p or d?
d
Let v = 1.3 + -2.01. Let n = 0.01 + v. Let u = n - -0.7. Which is bigger: u or 0.1?
0.1
Let f be 3/1*-19 - 3. Is -60 at most f?
True
Let g be 4/(-6) + (-6)/(-9). Suppose 3*s + s = g. Is s at most -1?
False
Let c = -3 - -10. Are 8 and c non-equal?
True
Let c = 1268/3 - 429. Is c at least as big as -6?
False
Let t = -29 - -27.9. Let b = 1 + t. Do b and -0.02 have the same value?
False
Let j = -9 + 6. Let v be 1/j - (-8)/(-3). Which is smaller: -4 or v?
-4
Let c(a) = -2*a - 6. Let m(p) = p**3 + 10*p**2 - 4. Let h be m(-10). Let o be c(h). Let w = o + -1. Which is greater: w or -1?
w
Let a be ((-7)/2)/((-2)/4). Suppose 4*x + 0 = -4*i + 24, 6 = 3*i. Let d = x - a. Is -2 greater than or equal to d?
True
Suppose -w - 2 - 3 = 0. Let z = 3 + w. Let k be (0 + -1)*1 + 0. Which is greater: k or z?
k
Let j = -687311140/5281508603985069 + 2/327530319. Let h = 6014716061/20656446531 - j. Let i = h - 1/183. Which is bigger: -1 or i?
i
Let n = 441/178 - -2/89. Suppose 0 = 4*z + 4*t - 12, t = 5*z - 2*z - 13. Suppose -z*m - 4 + 20 = 0. Is n <= m?
True
Let t = 7 + -5. Suppose t*w + 0*w + 30 = 4*a, 3*a = -3*w. Are -5 and w non-equal?
False
Let i(k) = -1 - 2*k + 2*k + k. Let c be i(-2). Let t = -2 - c. Is -2/33 equal to t?
False
Suppose 0 = 3*b - 4*v + 4, -3*b + 5*v = b + 6. Which is bigger: b or -5?
b
Let p = -41 + 28. Let q be ((-12)/(-5))/(9/(-48)). Let b = p - q. Which is bigger: b or -1?
b
Suppose -5*v + 4*p + 72 = 0, 0*v - 2*p - 66 = -5*v. Which is smaller: 13 or v?
v
Let l(y) = -y**3 + 4*y + 5. Let c be l(3). Is c smaller than -10?
False
Let a = -12.7 - -12. Let k = a + 1. Is k > 1/3?
False
Let w(f) = -f**2 + f + 1. Let t be (-2)/(-2)*(-12)/4. Let y be (4 + t)*(-1 + 0). Let x be w(y). Is -1 smaller than x?
False
Let z be (-2)/(-9) + (-140)/225. Do z and 1 have different values?
True
Let w(s) be the first derivative of s**2/2 - 11*s - 3. Let i be w(10). Which is greater: i or 1/10?
1/10
Let i = -6.99 + -0.01. Let h = -7.1 - i. Is -0.4 smaller than h?
True
Suppose 3*j = 3*a + 9, -5*a + 7 = -4*j + 18. Suppose -3 = -3*w + 6. Suppose s - 2*i = -i + 5, -17 = -w*s + 5*i. Is s equal to j?
True
Let g = -1 - -4. Suppose -g*u - 2*u = 0. Let k be (-36)/(-40) - (-4)/(-10). Which is bigger: u or k?
k
Let o be (-10)/(-8) + (12 - 15). Is -1 at most as big as o?
False
Let u = -26 + 74/3. Is u equal to -1?
False
Let u = -2 + -6. Let m = 0.3 - 0.4. Which is greater: m or u?
m
Let t = -9 - -8. Let n be 5 + (0 - -2)/t. Suppose 0 = 8*l - n*l + 15. Is l < -3?
False
Let p(r) be the first derivative of r**2/2 + 4*r - 1. Let t be p(-4). Let i be t + 1 + -3 + 5. Which is greater: i or 2?
i
Let y = -2 - -20. Suppose 4*w - y = 3*z, -3*w = -2*z + z - 11. Which is smaller: 3/2 or w?
3/2
Let g = 4 + 1. Let o = 75 - 74.8. Which is greater: g or o?
g
Let v = -10/37 + -41/259. Which is greater: v or 1?
1
Suppose 6 = -l - 3*i, 10 = -10*l + 6*l - 5*i. Is l at least as big as -2/201?
True
Let k be (-9)/(-21)*-4*6/180. Let g be (1 + 0)/(-5)*2. Which is bigger: g or k?
k
Let z = -2.88 + -0.12. Let j = -1.99 - 0.01. Let y = j + 1. Is z > y?
False
Let o = -0.15 + 0.05. Which is smaller: -1 or o?
-1
Let v = 0.9 - 1. Let z = 25153 - 74684/3. Let x = -256 + z. Which is smaller: x or v?
v
Suppose t - 6*t - 6 = -4*p, -3*p + 20 = 4*t. Is 3 at least as big as t?
True
Let v = -29 + 28. Is v less than 0?
True
Let r(d) = d**3 + 13*d**2 - 14*d + 1. Let t be r(-14). Which is smaller: t or 0?
0
Suppose -21 = -4*t + t. Let v = t - 0. Are v and 6 equal?
False
Let a = -160405628237/12 - -10307505032894947/771108. Let b = -10/4943 - a. Let p = b + -301. Which is smaller: 1 or p?
p
Suppose -4*a - 5*y + 7 = 0, 4*y - 4 = -3*a - a. Let p = 0 + a. Let x be (p/6)/(1/3). Is x at most as big as 1/5?
True
Suppose 2*m + 2*m = 0. Let l = -0.1 + -0.2. Let i = l + 0.3. Is m less than i?
False
Let c = -1 - -3. Let i be -5 + (3 + -1)/c. Suppose 4*m + 19 - 3 = 0. Is i greater than m?
False
Suppose 5*o = 2*o + 2*v + 5, v + 1 = 3*o. Suppose 4*k + 4*f = 0, -5*k + 3*k - 3*f = 0. Which is smaller: k or o?
o
Let t = 0 - 2. Let m(k) = k**2 - 1 + k**2 + 0 - 13*k + 5. Let w be m(6). Is t at least w?
True
Let f = -1159/7 + 166. Let y(h) = 6*h**2 + h - 2 - 6 + 2*h**2 - h**3. Let u be y(8). Do f and u have the same value?
False
Suppose -5*b + 0 = c - 9, -3*b = 2*c - 11. Let l be b/(2/(-5)) - -2. Let j be -5 - -2 - -3*1. Is l at most j?
True
Let o(q) = 2*q**2 + 22*q - 7. Let c be o(-8). Do c and -55 have the same value?
True
Let n be (3/2)/(9/18). Suppose 3*z + 20 = 2*k, -3*z = 5*k - 2*z - 16. Are n and k unequal?
True
Suppose 3*m + 5 + 34 = 0. Which is smaller: m or -12?
m
Let c be (12/(-15))/((-2)/10). Suppose -4*w + c = -0*w. Suppose 2*y + 0*j + 4 = j, -4*y - 2*j = -8. Which is bigger: y or w?
w
Let y = 0.039 + -0.039. Which is smaller: y or -0.1?
-0.1
Let x be 2/((156/(-9))/4). Which is greater: 0 or x?
0
Let v = 232 - 439/2. Which is bigger: v or 14?
14
Let h be ((2/1)/2)/(-6). Let i be 1*(-3 - -7)/(-4). Which is smaller: i or h?
i
Let o = 106 + -103. Which is smaller: o or 1?
1
Let m = -3 - 0. Suppose 0 = -5*l + 9 + 41. Suppose 0 = -0*k + 5*k + l. Are k and m equal?
False
Let x(f) be the second derivative of f**6/720 + f**5/60 + f**4/4 - 4*f. Let i(t) be the third derivative of x(t). Let y be i(-2). Is 1 not equal to y?
True
Let n = 0.26 - -1.68. Let s = 0.06 + n. Let b = s - 3. Which is smaller: b or 1/2?
b
Suppose -2*l = -4*l - 2. Let v be (-243)/(-684) + 2/(-8). Is v <= l?
False
Let f be 3/(-9) + (-1931)/(-663). Let v = f - 32/13. Which is bigger: v or 0?
v
Let b = -0.9 + 1. Is b >= 3?
False
Let b = 29 + -21. Suppose 3*j + b = y, -3*j + 0*j - 4 = y. Is j at most -2?
True
Suppose z + 2 = 4. Let v(i) = -2*i**2 + 2*i + 2. Let q be v(z). Is q less than or equal to 0.1?
True
Let q be (-3 - 0)*(-2)/8. Let g = -63 - -64. Which is smaller: q or g?
q
Suppose -1 = -4*o + 3. Let z = 4 - o. Is 4 greater than or equal to z?
True
Let q(f) = 2*f**2 - 14*f + 13. Let k be q(9). Suppose 7*i - k = 28. Which is bigger: 10 or i?
i
Suppose -z - 4*k - 26 = 0, 4*z - 4*k + 0 = -4. Which is smaller: -5 or z?
z
Suppose h - 1 + 2 = 0. Let t be (6/24)/(h/2). Let w = 0.1 + -0.1. Which is greater: w or t?
w
Let l be (-23)/6 + (-1)/6. Let j = 5 - 4.9. Is j equal to l?
False
Let a = 0.05 - -15.95. Which is smaller: 2/5 or a?
2/5
Suppose s - 6 = -9. Which is smaller: 0 or s?
s
Let d(p) = -p + 1. Let b be d(1). Suppose j = -1 - b. Let c be 2 - (2 - (-1)/j). Which is greater: c or -1/4?
c
Suppose 2*n - n - 16 = 4*s, 3*n = -4*s - 32. Which is bigger: -3 or s?
-3
Let y be 3/(-5) - (-6
|
{
"pile_set_name": "DM Mathematics"
}
|
r?
6
What is the square root of 24284 to the nearest integer?
156
What is 578 to the power of 1/2, to the nearest integer?
24
What is the fifth root of 943 to the nearest integer?
4
What is the third root of 847 to the nearest integer?
9
What is the third root of 98684 to the nearest integer?
46
What is the third root of 277 to the nearest integer?
7
What is 4077 to the power of 1/3, to the nearest integer?
16
What is 3589 to the power of 1/3, to the nearest integer?
15
What is the third root of 17678 to the nearest integer?
26
What is the sixth root of 4537 to the nearest integer?
4
What is the third root of 31214 to the nearest integer?
31
What is 1077 to the power of 1/2, to the nearest integer?
33
What is the ninth root of 2778 to the nearest integer?
2
What is 2130 to the power of 1/7, to the nearest integer?
3
What is 6546 to the power of 1/5, to the nearest integer?
6
What is the third root of 1267 to the nearest integer?
11
What is the third root of 2350 to the nearest integer?
13
What is the square root of 24310 to the nearest integer?
156
What is the cube root of 22717 to the nearest integer?
28
What is 67039 to the power of 1/10, to the nearest integer?
3
What is 9014 to the power of 1/3, to the nearest integer?
21
What is the cube root of 63425 to the nearest integer?
40
What is the third root of 9064 to the nearest integer?
21
What is the square root of 1012 to the nearest integer?
32
What is 9468 to the power of 1/9, to the nearest integer?
3
What is the square root of 95243 to the nearest integer?
309
What is 1445 to the power of 1/2, to the nearest integer?
38
What is 475 to the power of 1/4, to the nearest integer?
5
What is the cube root of 17073 to the nearest integer?
26
What is the cube root of 10586 to the nearest integer?
22
What is the fourth root of 18 to the nearest integer?
2
What is the fifth root of 14095 to the nearest integer?
7
What is the eighth root of 19843 to the nearest integer?
3
What is 31233 to the power of 1/2, to the nearest integer?
177
What is 17723 to the power of 1/6, to the nearest integer?
5
What is 17649 to the power of 1/3, to the nearest integer?
26
What is 215 to the power of 1/9, to the nearest integer?
2
What is the third root of 18577 to the nearest integer?
26
What is 41095 to the power of 1/9, to the nearest integer?
3
What is 1241 to the power of 1/7, to the nearest integer?
3
What is the tenth root of 885 to the nearest integer?
2
What is 41662 to the power of 1/8, to the nearest integer?
4
What is 199 to the power of 1/2, to the nearest integer?
14
What is the cube root of 968 to the nearest integer?
10
What is 56779 to the power of 1/2, to the nearest integer?
238
What is 26466 to the power of 1/10, to the nearest integer?
3
What is the ninth root of 13269 to the nearest integer?
3
What is the seventh root of 7536 to the nearest integer?
4
What is 28778 to the power of 1/2, to the nearest integer?
170
What is 736 to the power of 1/2, to the nearest integer?
27
What is 24180 to the power of 1/2, to the nearest integer?
155
What is 141721 to the power of 1/4, to the nearest integer?
19
What is the square root of 9158 to the nearest integer?
96
What is the cube root of 13804 to the nearest integer?
24
What is the cube root of 10058 to the nearest integer?
22
What is the fourth root of 11577 to the nearest integer?
10
What is the third root of 1735 to the nearest integer?
12
What is the fifth root of 23604 to the nearest integer?
7
What is the square root of 12856 to the nearest integer?
113
What is the third root of 30 to the nearest integer?
3
What is 17683 to the power of 1/4, to the nearest integer?
12
What is 2853 to the power of 1/6, to the nearest integer?
4
What is the square root of 82035 to the nearest integer?
286
What is the square root of 4219 to the nearest integer?
65
What is the square root of 78542 to the nearest integer?
280
What is the square root of 156930 to the nearest integer?
396
What is the square root of 26837 to the nearest integer?
164
What is 21033 to the power of 1/2, to the nearest integer?
145
What is 46 to the power of 1/2, to the nearest integer?
7
What is the square root of 25461 to the nearest integer?
160
What is the third root of 15712 to the nearest integer?
25
What is 19079 to the power of 1/9, to the nearest integer?
3
What is the square root of 1083 to the nearest integer?
33
What is the third root of 1293 to the nearest integer?
11
What is the cube root of 961 to the nearest integer?
10
What is the square root of 38101 to the nearest integer?
195
What is the fourth root of 6771 to the nearest integer?
9
What is the third root of 84862 to the nearest integer?
44
What is the fourth root of 20382 to the nearest integer?
12
What is the cube root of 27991 to the nearest integer?
30
What is 3472 to the power of 1/2, to the nearest integer?
59
What is 2307 to the power of 1/3, to the nearest integer?
13
What is the square root of 847 to the nearest integer?
29
What is the cube root of 934 to the nearest integer?
10
What is 715 to the power of 1/3, to the nearest integer?
9
What is 68199 to the power of 1/2, to the nearest integer?
261
What is the square root of 75236 to the nearest integer?
274
What is 389 to the power of 1/2, to the nearest integer?
20
What is the square root of 46642 to the nearest integer?
216
What is the square root of 4861 to the nearest integer?
70
What is 32503 to the power of 1/2, to the nearest integer?
180
What is the cube root of 7988 to the nearest integer?
20
What is 1872 to the power of 1/2, to the nearest integer?
43
What is the third root of 606 to the nearest integer?
8
What is 49314 to the power of 1/3, to the nearest integer?
37
What is 25198 to the power of 1/3, to the nearest integer?
29
What is the square root of 45359 to the nearest integer?
213
What is the cube root of 3039 to the nearest integer?
14
What is 2533 to the power of 1/6, to the nearest integer?
4
What is the eighth root of 15610 to the nearest integer?
3
What is the sixth root of 6590 to the nearest integer?
4
What is 19857 to the power of 1/2, to the nearest integer?
141
What is the fifth root of 1273 to the nearest integer?
4
What is the eighth root of 9717 to the nearest integer?
3
What is 1976 to the power of 1/9, to the nearest integer?
2
What is the third root of 720 to the nearest integer?
9
What is the ninth root of 65429 to the nearest integer?
3
What is the square root of 25241 to the nearest integer?
159
What is the square root of 1179 to the nearest integer?
34
What is the square root of 1260 to the nearest integer?
35
What is the square root of 1113 to the nearest integer?
33
What is 88962 to the power of 1/8, to the nearest integer?
4
What is the square root of 23679 to the nearest integer?
154
What is the third root of 5607 to the nearest integer?
18
What is 1597 to the power of 1/2, to the nearest integer?
40
What is 48295 to the power of 1/2, to the nearest integer?
220
What is 20610 to the power of 1/2, to the nearest integer?
144
What is the square root of 3878 to the nearest integer?
62
What is the square root of 28982 to the nearest integer?
170
What is 849 to the power of 1/3, to the nearest integer?
9
What is the third root of 3152 to the nearest integer?
15
What is the cube root of 4524 to the nearest integer?
17
What is 29339 to the power of 1/9, to the nearest integer?
3
What is the third root of 9113 to the nearest integer?
21
What is 9347 to the power of 1/2, to the nearest integer?
97
What is the third root of 1781 to the nearest integer?
12
What is 5869 to the power of 1/7, to the nearest integer?
3
What is the square root of 7721 to the nearest integer?
88
What is 12501 to the power of 1/9, to the nearest integer?
3
What is 164056 to the power of 1/4, to the nearest integer?
20
What is the square root of 2972 to the nearest integer?
55
What is the square root of 330 to the nearest integer?
18
What is the square root of 928 to the nearest integer?
30
What is the seventh root of 1017 to the nearest integer?
3
What is the square root of 69302 to the nearest integer?
263
What is the cube root of 2470 to the nearest integer?
14
What is the square root of 90690 to the nearest integer?
301
What is the square root of 4464
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 3*h**2 - 3*h + 4. What is -8*g(d) - 3*t(d)?
-2*d**3 + 1
Let y(o) = 5*o - 6. Suppose -n + 0*n = 4. Let x(w) = 4*w - 5. Let z(p) = n*x(p) + 3*y(p). Let r(a) = 3*a - 7. What is 2*r(q) + 7*z(q)?
-q
Let f(l) = -1311*l**3 + 247. Let o(i) = 16*i**3 - 3. Calculate -6*f(q) - 494*o(q).
-38*q**3
Let y(a) = 3*a. Let z(r) = -r. Suppose 0 = -4*v + v + 2*n + 27, 0 = -2*n + 6. Let q = -15 + v. Determine q*z(d) - y(d).
d
Let c(v) = 4*v + 1. Let p(q) be the third derivative of q**4/24 - q**2. Let s(b) = -b**2 + 7*b - 12. Let g be s(6). Calculate g*p(w) + c(w).
-2*w + 1
Let b(x) = -x. Let o(z) = -33*z. Determine -220*b(i) + 5*o(i).
55*i
Let y(u) = -2*u**3 - u. Let b(m) = -3*m**3 - m. Let l(t) = -t - 16. Let r be l(-12). Let s be 2 + (-2)/(0 - 2). Give r*y(d) + s*b(d).
-d**3 + d
Let q(j) = -36*j**3 + 18*j**2 - 18*j - 18. Let g(p) = p**3 - p**2 + p + 1. Give 18*g(t) + q(t).
-18*t**3
Let u(z) = z**2. Let l(f) = f**2. Let s(b) = -2*b. Let x be s(0). Suppose 0 = -5*o, x*m - o + 12 = -4*m. Give m*u(n) + l(n).
-2*n**2
Let z(k) = -1. Let w(i) = 7. Let q(n) = w(n) + 6*z(n). Let l(f) = -7*f + 4. Let u(o) = -11*o + 6. Let j(b) = -8*l(b) + 5*u(b). Give -j(x) - q(x).
-x + 1
Let f(u) be the first derivative of u**2 + 4 - 2 + 0*u**2 + 2*u. Let l(g) = 11*g + 11. What is 34*f(r) - 6*l(r)?
2*r + 2
Let x(h) = h**2 - h. Let y = 4 - -1. Let g(b) = 3*b + b - y*b. Suppose 4*v - 2 = o, 3*o + 3*v = v + 8. Give o*x(p) - 2*g(p).
2*p**2
Let v(c) = 7*c**3 + 5*c**2 - 3*c + 5. Suppose -4 = -f - 0. Let n be -3 + 0 + 4 - f. Let j(b) = -4*b**3 - 3*b**2 + 2*b - 3. Give n*v(k) - 5*j(k).
-k**3 - k
Let w(c) = -c + 1. Let s(h) = 6*h - 5. Let f(g) = s(g) + 5*w(g). Let v(r) = r**2 - 6*r. Give 6*f(d) + v(d).
d**2
Let i(w) = -w**2 + 2*w. Suppose -2*m = 9 - 21. Let o(p) = 2*p**2 + 2*p - 1. Let q be o(-2). Let b(z) = z**2 - z. What is m*b(g) + q*i(g)?
3*g**2
Let f(r) = 10*r + 5. Let j(v) = -26*v - 14. Let m(a) = -8*f(a) - 3*j(a). Let x(p) be the third derivative of -p**4/12 + p**3/2 - p**2. What is 4*m(t) - 3*x(t)?
-2*t - 1
Let t be -3 - (-4 - 1) - 6. Let j = t + 6. Let s(d) = d**2 + d - 3*d**j + 0*d - 2. Let b(x) = -6*x**2 + 4*x - 6. Determine 2*b(v) - 7*s(v).
2*v**2 + v + 2
Let g(a) = -4*a. Let b(l) = l - 3. Let q(c) = 10*c - 34. Let k(v) = 68*b(v) - 6*q(v). Determine 7*g(y) + 4*k(y).
4*y
Let b(g) = 5 - g - 3 + 1. Let t(h) = 1. Calculate b(c) - 5*t(c).
-c - 2
Let k(r) = -2*r**3 + 2*r**2 + 2. Let h(m) be the first derivative of m**4/4 - m**3 - 3*m - 7. Determine 2*h(w) + 3*k(w).
-4*w**3
Let s be (4/12)/(1/(-9)). Let v(u) = -2*u. Let i(w) = w. Let g(z) = 3*z. Let q(r) = 3*g(r) - 6*i(r). Give s*q(y) - 5*v(y).
y
Let v(p) = p**3 + 5*p. Let h(u) = -u**2 + u + 1. Calculate 2*h(d) - v(d).
-d**3 - 2*d**2 - 3*d + 2
Let l(x) = 2*x - 1. Let i(a) = -48*a + 5. What is i(z) + 4*l(z)?
-40*z + 1
Let d(y) = 9*y + 6. Let h(n) = -19*n - 13. What is 13*d(c) + 6*h(c)?
3*c
Let l(s) = 2*s**2 + 3*s. Let u(p) be the first derivative of 5/3*p**3 + 7/2*p**2 + 0*p + 1. Determine 7*l(b) - 3*u(b).
-b**2
Suppose 21*q = 17*q + 8. Let j(w) = w**3 + w**2 + w - 1. Let b(f) = -5*f**3 - 3*f**2 - 2*f + 3. What is q*j(x) + b(x)?
-3*x**3 - x**2 + 1
Let m(i) = -9*i. Let g(a) = -a - 10. Let q be g(-4). Let d(v) be the first derivative of -4*v**2 - 1. Calculate q*m(r) + 7*d(r).
-2*r
Let s(r) = -1 + 0*r + 4*r**2 - 5*r + 9*r. Let b(m) = m**2 + m - 1. Calculate 2*b(l) - s(l).
-2*l**2 - 2*l - 1
Let a(x) = 4*x - 13. Let p(r) = -r + 3. Let h be (-1)/(3 - 5/2). Give h*a(t) - 9*p(t).
t - 1
Let d(l) = -23*l**2 - 7*l + 1. Let v(z) = 23*z**2 + 6*z - 1. Give -4*d(n) - 5*v(n).
-23*n**2 - 2*n + 1
Let s(x) = x**3 - 6*x. Suppose -t = -3*t - 6. Let z be (t/2)/(3/(-12)). Let v(p) = -p. Calculate z*v(c) - s(c).
-c**3
Let w(c) = -4*c**2 - 17 - 8 + 16 + 5*c**2 - 4*c. Suppose 4*a + 2*j = 4 - 2, 0 = a + j - 3. Let k(y) = -y - 2. Determine a*w(i) + 9*k(i).
-2*i**2 - i
Let u(z) = z**2 - z + 1. Let q(k) = -5*k**2 + 9*k - 9. Give -4*q(d) - 36*u(d).
-16*d**2
Let l(x) = -4*x**2 - 5*x + 5. Let n(j) = -2*j**2 - 5*j - 1. Let y(z) = -12*z**2 - 29*z - 5. Let w(i) = 34*n(i) - 6*y(i). Determine 4*l(d) + 5*w(d).
4*d**2
Let b(l) = 11*l + 1. Let n(a) = -7*a - 1. Give -5*b(j) - 8*n(j).
j + 3
Let n(o) = -6*o**3 + 3*o**2 + 2*o + 1. Let s(d) = 13*d**3 - 5*d**2 - 5*d - 3. Determine 9*n(g) + 4*s(g).
-2*g**3 + 7*g**2 - 2*g - 3
Let w(s) be the second derivative of -s**4/12 + s**3/2 + s**2/2 - 6*s. Let l(y) = -y**2 + 4*y + 1. Determine 2*l(k) - 3*w(k).
k**2 - k - 1
Let v(t) = 32*t**2 - 5*t + 5. Let h(u) = -703*u**2 + 111*u - 111. What is -5*h(x) - 111*v(x)?
-37*x**2
Suppose 2*h = 2 + 2. Let j(l) = 4 + 2 - 7 + h + 2*l. Let d(t) = t**2 + 7*t + 4. Let z be d(-6). Let m(y) = y**2 + 10*y + 5. Give z*m(a) + 11*j(a).
-2*a**2 + 2*a + 1
Suppose 3*t + 158 = -2*k + 59, -t - 33 = 2*k. Let u(m) = -3*m**3 + 4*m**2 + 4. Let j(h) = 24*h**3 - 33*h**2 - 33. Calculate t*u(s) - 4*j(s).
3*s**3
Let r(z) = 16*z - 3. Let g(q) = 351*q - 65. What is -3*g(a) + 65*r(a)?
-13*a
Let o(v) = -v**3 - 5*v**2 + 5*v. Let n(q) = -q**3 + 75*q - 6*q**2 + 71*q - 140*q. Determine -5*n(y) + 6*o(y).
-y**3
Let s(z) = 472 - 476 - 3*z + z. Let h(n) = 2*n + 5. Let l be 8/3 + (-1)/(-3). Let q = -2 - l. Determine q*s(f) - 4*h(f).
2*f
Let z(r) = -44*r - 4. Let a(m) = 29*m + 3. Give -7*a(c) - 5*z(c).
17*c - 1
Let c = -39 - -33. Let f(i) = i + 3. Let q(a) = -1. What is c*q(m) - 2*f(m)?
-2*m
Let z(l) = 5*l - 3. Let o(r) be the third derivative of 2*r**4/3 - 5*r**3/3 - 32*r**2. Give -6*o(f) + 20*z(f).
4*f
Let z = 1 + -2. Let d be 0 + z + (-4)/2. Let o(j) = -j - 3. Let k(m) = -2*m - 4. What is d*k(c) + 4*o(c)?
2*c
Let o(g) = -5*g + 2. Suppose 0 = c - 16 + 5. Suppose 0*y - 5*y = -25, u = -y + c. Let s(f) = -f. Give u*s(d) - o(d).
-d - 2
Let k(a) be the second derivative of a**2/2 - 27*a. Let n(g) = g**2 + 4. Give -4*k(t) + n(t).
t**2
Let o(j) = 3*j**3 + 2*j - 1. Suppose 3*m + 19 = 4*d, -m - 9 = -2*d - 2*d. Let b(x) = -7*x**3 - 5*x + 1. What is m*o(a) - 2*b(a)?
-a**3 + 3
Let v(k) = 5*k**2 - 6*k - 5. Let r(d) be the third derivative of d**5/10 - 7*d**4/24 - d**3 - 7*d**2. What is -4*r(w) + 5*v(w)?
w**2 - 2*w - 1
Let r(a) = -7*a**3 + a + 7. Let h(x) = -1 - 4*x**3 + 8 - 3 - x + 2*x. Give -5*h(o) + 3*r(o).
-o**3 - 2*o + 1
Let d(u) = 4*u + 2. Let k(r) be the first derivative of r**2/2 + 229. Let z be ((0 + 1)*1)/1. Calculate z*d(x) - 5*k(x).
-x + 2
Let o(x) = -x**3 + 6. Let w(s) = 13 - 14 + 4. Calculate -3*o(h) + 6*w(h).
3*h**3
Let j(g) = 3*g**2 - 6*g - 6. Let v(f) = -11 + f - 12*f + 7*f**2 - f**2. Calculate 7*j(b) - 4*v(b).
-3*b**2 + 2*b + 2
Let y be (-8)/36 + (-222)/(-27). Let u(k) = -23*k + y*k + 14*k. Let s(r) = 3*r. Let b(q) = q**3 + 2*q**2 + q - 2. Let x be b(-2). Calculate x*u(p) - s(p).
p
Let v(k) = -k + 5. Let q(n) = -n + 6. Give -2*q(f) + 3*v(f).
-f + 3
Let i(b) = -5*b + 2. Let z(s) = 6 - 3*s - 5*s - 6*s. Let o = 9 - 6. Suppose 5*v + 15 = -10, -3*g + 2*v - 14 = 0. What is g*i(c) + o*z(c)?
-2*c + 2
Let a(d) = -17*d + 7. Let t(u) = -u + 1. Calculate -a(h) + 6*t(h).
11*h - 1
Let j(b) = 10*b**3 + 3. Let x(o) = o**3 + 1. Determine -j(r) + 5*x(r).
-5*r**3 + 2
Let o(t) = t**2 - 1. Let r(a) = 22*a**2 - 14. Determine -28*o(k) + 2*r(k).
16*k**2
Let d(u) = -u. Let s(b) = -3*b**3 + 7*b. Calculate -35*d(q) - 5*s(q).
15*q**3
Let u(d) = 2*d**2 + d + 4. Let g(t) = -3*t**2 - 2*t - 7. Determine 4*g(z) + 7*u(z).
2*z**2 - z
Let s(q) = 5*q**2 - q + 2. Let g(v) = -13*v + 13*v + v**2 + 1. Let l = -1 - 0. What is l*s(c) + 4*g(c)?
-c**2 + c + 2
Suppose 36 = -0*t - 4*t. Let u(z) = -2*z. Let j(a) = -a + 2. Let n(c) = -6*c + 10. Let i(g) = -15*j(g) + 3*n(g). Determine t*u(p) + 5*i(p).
3*p
Let x(y) = 4*y**2 - 2*y + 5. Let j(g) = 2*g**2 - g + 2. What is -9*j(h) + 4*x(h)?
-2*h**2 + h + 2
Let i(b) = -12*b**2 - 8*b - 8. Let m(g) be the second derivative of -g**4/3 - g**3/2 - 3*g**2/2 + 13*g. Calculate -3*i(n) + 8*m(n).
4*n**2
Let n = 2 - 4. Let k(i) = 4*i**3 - i**2 - i + 7. Let w(u) = u**3 + 2. Calculate n*k(d) + 7*w(d).
-d**3 + 2*d**2 + 2*d
Let i = 36 - 25. Let b(s) = s - 2. Let p(c) = -5*c + 11. Determine i*b(j) + 2*p(j).
j
Let d(g) = -11*g**3 + 6*g**2 + 11*g + 8. Let b = 14 + -6. Let x(r) = -2 - 2*r**2 + 0*r**3 - 1 - 4*r + 3*r**3 + r**3. Determine b*x(u) + 3*d(u).
-u**3 + 2*u**2 + u
Let g(u) = u**2 + 8 - 5 - 4. Let w(b) = 6*b**2 - 8. What is -24*g(c) + 3*w(c)?
-6*c**2
|
{
"pile_set_name": "DM Mathematics"
}
|
/175 - 3*k**6/50 + 615*k**2 - k - 4. Factor q(p).
3*p**3*(p - 2)*(p + 6)/5
Let j(i) be the third derivative of 0*i + 0*i**3 + 2 + 1/90*i**6 + 4/9*i**4 + 23*i**2 + 2/15*i**5. Let j(a) = 0. Calculate a.
-4, -2, 0
Let v(i) = -3*i**4 + i**2. Let c(a) = -16*a**4 + 500*a**3 - 14844*a**2 - 49152*a. Let o(x) = -c(x) + 4*v(x). Factor o(w).
4*w*(w - 64)**2*(w + 3)
Let b(f) be the third derivative of f**8/252 - 32*f**7/315 + f**6/6 - 639*f**2. Factor b(y).
4*y**3*(y - 15)*(y - 1)/3
Factor 57/5*u + 3/5*u**2 - 198/5.
3*(u - 3)*(u + 22)/5
Let k(l) be the third derivative of l**7/504 + 5*l**6/144 + l**5/4 - 27*l**4/8 - 14*l**2. Let y(o) be the second derivative of k(o). Find x such that y(x) = 0.
-3, -2
Let s be (5*44/(-4620))/((-4)/42). Let -1/2*m**2 - 1/4*m + s + 1/4*m**3 = 0. Calculate m.
-1, 1, 2
Let m be (-15)/(-6) + 15/(-6) - 2. Let v be 3/m + ((-27)/(-3) - 3). Find d such that 4 + v*d**3 + 14*d + 15*d**2 = 0.
-2, -2/3
Let v(x) be the third derivative of 5*x**8/336 - 25*x**7/42 - x**6/24 + 25*x**5/12 + 568*x**2. Let v(b) = 0. What is b?
-1, 0, 1, 25
Let z(k) be the first derivative of 1/4*k**3 - 12 + 1/48*k**6 + 0*k**2 + 1/32*k**4 - 1/10*k**5 + 0*k. Factor z(y).
y**2*(y - 3)*(y - 2)*(y + 1)/8
Let c(l) = 8252*l + 57788. Let h be c(-7). Suppose -72/13 - 26*j**2 - h*j = 0. Calculate j.
-6/13
Let m(a) be the second derivative of -15*a**3 + 1/2*a**4 - 93*a + 54*a**2 + 0 - 1/15*a**6 + 1/2*a**5. What is l in m(l) = 0?
-3, 2, 3
Let f = 1281 - 1278. Suppose 0 = 2*o - 5*j + 21, 22 = 5*o + j + 7. Factor 441/5*y + 1029/5 + 63/5*y**o + 3/5*y**f.
3*(y + 7)**3/5
Let q(h) be the second derivative of h**9/1008 + h**8/112 + h**7/40 + h**6/40 - 71*h**3/6 + 44*h. Let g(r) be the second derivative of q(r). Factor g(o).
3*o**2*(o + 1)**2*(o + 3)
Let p(v) be the first derivative of -7/8*v**4 + 1/8*v**6 + v**2 - 1/20*v**5 + 1/3*v**3 + 0*v + 124. Find f such that p(f) = 0.
-2, -2/3, 0, 1, 2
Factor 40*o + 0*o + 5*o**3 - 23268*o**2 - 15*o**3 - o**4 + 23276*o**2 - o**4.
-2*o*(o - 2)*(o + 2)*(o + 5)
Let r be (-346)/4844*(-224)/120. Factor 24/5*z + 14/3 + r*z**2.
2*(z + 1)*(z + 35)/15
Let x(y) = -168*y**2 + 432*y - 183. Let j(w) = -42*w**2 + 109*w - 44. Let a(l) = -21*j(l) + 5*x(l). Suppose a(r) = 0. Calculate r.
1/14, 3
Let g be (3 + -3)*((18 - (-240)/(-15)) + -1). Find j, given that 4/9 + 16/9*j**4 - 20/9*j**2 + 0*j + g*j**3 = 0.
-1, -1/2, 1/2, 1
Let g(v) be the first derivative of 2/3*v**3 - 5/14*v**4 + 2/35*v**5 + 0*v + 72 - 3/7*v**2. Determine j so that g(j) = 0.
0, 1, 3
Let w(z) be the third derivative of -77*z**2 - 1/20*z**5 - 441/2*z**3 + 21/4*z**4 + 0*z + 0. Suppose w(b) = 0. Calculate b.
21
Factor -4*h**2 - 51*h**2 + 0*h**2 - 4*h**3 - 20*h + 19*h**3.
5*h*(h - 4)*(3*h + 1)
Suppose 0 = 5*b - d - 8 + 12, -12 = -2*b - 3*d. Let s be (3 + b)/((-987)/(-154) + -6). Factor s + 2/3*x**2 - 8*x.
2*(x - 11)*(x - 1)/3
Let f(j) = 4*j**4 + 133*j**3 + 539*j**2 + 440*j - 152. Let a(z) = 6*z**4 + 133*z**3 + 538*z**2 + 438*z - 153. Let c(t) = 4*a(t) - 5*f(t). Factor c(u).
(u - 37)*(u + 2)**2*(4*u - 1)
Let k(j) be the first derivative of 17 + 90*j - 5/3*j**3 - 35/2*j**2. Factor k(p).
-5*(p - 2)*(p + 9)
Let r = 1346565/7 - 190959. Let f = r - 1407. Factor 3/7*c**2 + 0 - f*c.
3*c*(c - 1)/7
Let k be (267/(-4539))/(48/(-17)). Let r(f) be the second derivative of 1/8*f**2 - k*f**3 + 0 - 1/48*f**4 + 1/160*f**5 + 31*f. Factor r(y).
(y - 2)*(y - 1)*(y + 1)/8
Let f(r) = 16*r**2 - 151*r + 358. Let x(z) = 33*z**2 - 303*z + 738. Let p(b) = 9*f(b) - 4*x(b). Factor p(l).
3*(l - 10)*(4*l - 9)
Suppose 16 = 3*k + l, -4*k + 3*l = -4 - 26. Let x be k/14 + (-15)/525. Suppose x*r**4 - 2/5 + 4/5*r**3 - 4/5*r + 0*r**2 = 0. What is r?
-1, 1
Let j be (-66)/187 - (-30)/85 - (-6 - 0). Factor -3/5*f**2 + 72/5 - j*f.
-3*(f - 2)*(f + 12)/5
Suppose -5*c - 2*a + 306 = 334, 0 = 3*c - 2*a - 44. Determine s so that 0*s - 120/7*s**3 - 2160/7*s**c + 6/7*s**5 + 60/7*s**4 + 20736/7 = 0.
-6, 4
Let u be (-3)/(-8 - (-3)/(150/385)). Factor 1/2*a**2 - u*a + 50.
(a - 10)**2/2
Let j be (-2)/6 + (-20)/(-6). Let o(v) = v**3 - 7*v**2 - 131*v + 984. Let r be o(8). Solve r*y**2 + 0 - 3/2*y**j + 0*y + 3/2*y**5 + 0*y**4 = 0.
-1, 0, 1
Suppose -11*i = -1 - 32. Let y(l) = 54*l**2 + 6*l + 15. Let m be y(-6). Solve -6*d - 3*d**i - 1908*d**2 - 6*d + m*d**2 = 0 for d.
0, 1, 4
Let h(l) = 158*l**2 - 4300*l + 924500. Let k(r) = 265*r**2 - 8600*r + 1849000. Let t(i) = 5*h(i) - 3*k(i). Factor t(q).
-5*(q - 430)**2
Let h(r) = -r**3 + r**2 + 4. Let w(a) = -2*a**3 + 50*a**2 - 120*a - 8. Let x(j) = -2*h(j) - w(j). Factor x(z).
4*z*(z - 10)*(z - 3)
Let i be 0/(-1) - (-27)/((-81)/(-9)). Factor -63*c**i - 18*c + 6*c**5 - 9*c - 20*c**2 + 9*c**4 + 2*c**2 + 0*c**4 + 93*c**2.
3*c*(c - 1)**3*(2*c + 9)
Let p(d) = 4*d**2 - 5*d - 5. Let q be p(-1). Determine g, given that 26*g**q + 20947 - 20947 + 28*g**3 + 2*g**2 = 0.
-1, -1/13, 0
Let s(g) be the second derivative of 0 + 969/16*g**4 + 4913/80*g**6 - 19941/160*g**5 + 3/2*g**2 - 53/4*g**3 - 222*g. Find d, given that s(d) = 0.
2/17, 1
Suppose -4*i = -2*z + 8, -3*i - 2*z = -4*i + 4. Let p be i*(-5)/4*(-26)/(-65). Factor 9*w + 12 + 3/2*w**p.
3*(w + 2)*(w + 4)/2
Let p(i) be the third derivative of 13*i**8/112 - 197*i**7/70 + 3*i**6/4 + 7688*i**2. Factor p(c).
3*c**3*(c - 15)*(13*c - 2)
Let i(t) be the first derivative of -5/6*t**3 - 6 + 6*t - 7*t**2. Suppose i(s) = 0. What is s?
-6, 2/5
Find a such that 37*a**2 - 9*a**2 - 1662*a - 13*a**2 - 11*a**2 - 6*a**2 = 0.
-831, 0
Factor 5706/5*o**2 + 6880682808/5 - 1/5*o**3 - 10852812/5*o.
-(o - 1902)**3/5
Let h(g) be the first derivative of 5*g**3/3 + 2175*g**2/2 + 2170*g + 5918. Find z, given that h(z) = 0.
-434, -1
Let f(y) be the third derivative of -y**5/15 + 131*y**4/6 - 260*y**3/3 - 1741*y**2. Determine g so that f(g) = 0.
1, 130
Suppose -39 - 135 = -2*i. Factor 80*w**2 + 70*w**3 + 10 + i*w + 5*w**5 + 103*w - 145*w + 30*w**4.
5*(w + 1)**4*(w + 2)
Suppose -2*j - 31 = z + 28, 243 = -5*z + 3*j. Let p be z + 41 - (0 + -12). Factor -2/3*g**p + 8/3 + 0*g.
-2*(g - 2)*(g + 2)/3
Let c(a) be the second derivative of -a**4/16 + 1791*a**3/4 - 9623043*a**2/8 + 5449*a. Factor c(s).
-3*(s - 1791)**2/4
Let w(z) be the second derivative of -z**5/30 - 235*z**4/9 - 55225*z**3/9 + 4193*z. What is j in w(j) = 0?
-235, 0
Let k(h) be the third derivative of -133*h**5/36 + 225*h**4/8 - 5*h**3 + 89*h**2 + 5. Solve k(x) = 0.
6/133, 3
Suppose 4*x - 3*g + 18 = 0, 0 = 9020*x - 9025*x + g - 6. Solve 4/21*d**3 - 2/21*d**4 + x*d + 0 - 2/21*d**2 = 0 for d.
0, 1
Let k = -579137/5 + 4054199/35. What is i in 18/7*i + 3/7*i**2 - k = 0?
-8, 2
Let c(v) = v**3 - 6*v**2 + 6*v + 1. Let i be c(4). Let x be 5 + i + (-644)/(-2). Find w, given that x - 81*w + 163*w - 53*w + 211*w + 5*w**3 + 60*w**2 = 0.
-4
Let x(y) be the third derivative of -2*y**6/15 + 661*y**5/15 - 55*y**4/2 - 27*y**2 + 13*y. Factor x(s).
-4*s*(s - 165)*(4*s - 1)
Find g such that 736/9 - 12*g**3 - 2/9*g**4 - 734/9*g**2 + 12*g = 0.
-46, -8, -1, 1
Let s(f) be the second derivative of f**4/66 + 16*f**3/33 - 17*f**2/11 - 5*f + 1094. Factor s(i).
2*(i - 1)*(i + 17)/11
Let h be 13/8 - (-24)/64. Let u(t) be the third derivative of -1/40*t**6 - 6*t**h - 1/20*t**5 + 0*t + 2*t**3 + 0 + 1/2*t**4. Factor u(o).
-3*(o - 2)*(o + 1)*(o + 2)
Let d be -3 + (-3)/(((-7)/(-3))/(-7)). Suppose 105 = 33*g + d. Solve -2*j**2 - 6*j + 2/3*j**g - 10/3 = 0.
-1, 5
Solve 184/13*f + 0 - 2/13*f**2 = 0.
0, 92
Let d(z) be the first derivative of z**8/840 - z**7/168 + z**6/360 + z**5/60 - 7*z**3/3 + z + 102. Let h(f) be the third derivative of d(f). Factor h(q).
q*(q - 2)*(q - 1)*(2*q + 1)
Factor 10 + 25/2*t**2 - 9/2*t**4 + 24*t + 1/2*t**5 - 13/2*t**3.
(t - 10)*(t - 2)*(t + 1)**3/2
Let h be (-8 - -7)/(-5 + 342/72) - 2. Factor 8/3*z + 5/3*z**h + 4/3 + 1/3*z**3.
(z + 1)*(z + 2)**2/3
Let u(f) be the second derivative of 14*f**6/135 - 283*f**5/15 - 1480*f**4/27 + 328*f**3/9 - 3*f + 2216. Let u(d) = 0. Calculate d.
-2, 0, 2/7, 123
Let s(c) be the second derivative of c**5/140 - 6*c**4/7 + 216*c**3/7 + 2*c + 603. Let s(t) = 0. What is t?
0, 36
Let l(o) = 2*o**2 - 18*o + 2. Let j be l(9). Let -21*y + 8*y + 10*y**j + 9*y**3 - 10*y**4 - 3*y**3 + 8*y - y**3 = 0. What is y?
-1, 0, 1/2, 1
Let v(k) be the second derivative of -7*k**6/180 + 101*k**5/120 - 91*k**4/24 + 11*k**3/4 - 5815*k. Solve v(w)
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{
"pile_set_name": "DM Mathematics"
}
|
e
Let u(f) = -15*f**3 + 6*f + 25. Is u(-6) a prime number?
True
Let d(r) = 253*r + 45. Is d(6) composite?
True
Suppose 3*d - d - 3*s = 15, -3*d + 21 = -5*s. Is 15/(-10)*(-296)/d a composite number?
False
Let h be (-238)/4*-32 - 4. Suppose -3008 = -4*g + h. Is g composite?
True
Suppose -v = 2*p - 12481, 3*p - 8140 = 3*v - 45547. Is v prime?
True
Let v = 190 - 136. Suppose -18 = 3*u + v. Let x = u + 45. Is x composite?
True
Let v(t) = 6*t**2 + t + 2. Suppose -k + 0*k + 3 = 0. Suppose k*d = -13 + 4. Is v(d) a prime number?
True
Suppose l - 431 = -4*t, -l + 5*t + 1378 = 2*l. Is l prime?
False
Suppose 5*r + 78486 = 5*h + 12631, 5*h = -5*r + 65875. Is h composite?
True
Let p(i) be the second derivative of i**4/12 - i**3/6 + 341*i**2/2 - 2*i. Let l be (6/4)/3 + 2/(-4). Is p(l) a prime number?
False
Let u = 6 + -5. Suppose -r = u - 5. Is (-4)/r - (3 - 7) composite?
False
Suppose 5*g = -46376 + 128086. Is g prime?
False
Let v be (110/(-25))/(12/(-30)). Let l(i) = -i**2 + 15*i + 7. Is l(v) composite?
True
Suppose -450 = -2*j + 902. Suppose 0 = 4*p + 5*w - 1713, 2*p - j - 148 = 4*w. Is p a prime number?
False
Suppose -i = 4*g - 13542 - 7770, i + 26631 = 5*g. Is g prime?
False
Suppose 5 = -d + 2. Let b(p) = 51*p + 4. Let l be b(d). Is (1 - -2)/((-3)/l) a composite number?
False
Let b(r) = r**3 + 8*r**2 + 10*r - 8. Let k be b(-6). Suppose -a = k*a - 925. Is a a composite number?
True
Let k = -207 - -119. Let h = k + 146. Is h a composite number?
True
Suppose 0 = c + 4*a - 3723, 2*a - 2279 = -c + 1452. Is c composite?
False
Let k(c) = -c**3 + 24*c**2 + 20*c + 66. Is k(23) prime?
False
Let s = 1 + 4. Let l = 1 + s. Is 3/(l/67)*2 composite?
False
Suppose -251*o = -249*o - 8. Suppose p + 2 = 2*p. Is (p/o)/((-2)/(-556)) a prime number?
True
Let s = 69 - 36. Let b = s + -30. Suppose -l - b*f = 3*l - 335, l - 86 = -3*f. Is l prime?
True
Let c = 4003 - 913. Is (-4 + 3)*1 + c a composite number?
False
Is (724760/(-60))/((-2)/3) composite?
False
Let v(n) = -242*n**3 + 19*n**2 - 7*n + 13. Is v(-6) composite?
True
Suppose 73787 = -2264*m + 2271*m. Is m composite?
True
Let c = 22 - 22. Let g be (3 - c)/((-7)/(-112)). Suppose 5*p + g - 203 = 0. Is p prime?
True
Let g(m) = -3 + 1 - 213*m + 4. Is g(-3) composite?
False
Suppose -72 = 13*b - 293. Suppose 13*m - b*m + 1924 = 0. Is m prime?
False
Suppose 4*w - 628 = -j - 0*j, -304 = -2*w + 2*j. Suppose 0 = -v + w + 1. Suppose -y - 3*n - n + 95 = 0, 3*n + v = 2*y. Is y a composite number?
False
Let d = 5913 - -1165. Is d a prime number?
False
Suppose x + 3*i = 15344, -5*x + 33424 + 43262 = -2*i. Is x a composite number?
True
Let i = 1 - 1. Suppose 0 = 5*s - w + 4*w - 3506, 3*w + 9 = i. Is s prime?
False
Suppose 10*b + 88 = 12*b. Suppose 13 = -j + b. Is j a prime number?
True
Let s(n) = 116*n**2 + 22*n + 14. Let b be s(-10). Suppose 0 = -f + 4*m + 2409 + 1372, -5*m + b = 3*f. Is f prime?
True
Let g = -12460 - -67595. Is g prime?
False
Suppose 0*o - 4540 = -5*z - 5*o, 0 = -z - 5*o + 900. Let n = -56 - -55. Let l = z - n. Is l a prime number?
True
Suppose 0 = k - 15 - 354. Let y = -238 + k. Is y a prime number?
True
Let v = 318 - 38. Let c be (6/10)/(8/v). Let s = 55 - c. Is s a prime number?
False
Suppose -22*h = -27*h + 115465. Is h composite?
True
Let p(k) = 37*k**2 - 2. Let c(d) = 2*d**2 + 11*d + 5. Let b be c(-5). Let t be 16/(-4) + b + 1. Is p(t) prime?
True
Let j(r) be the first derivative of r**2/2 + 15*r + 4. Let o be j(-11). Suppose -5*z = -2*p - 81, 2*z + 0*z = -o*p + 18. Is z composite?
True
Suppose -253062 = -92*v + 74*v. Is v a composite number?
True
Is 1/(2011746/(-167646) + 12) a composite number?
False
Let l be ((-2812)/10)/((-5)/(-25)). Suppose j = -2*j + 6225. Let c = l + j. Is c a composite number?
True
Let s(y) = 7895*y**3 - y**2 + y + 2. Is s(1) a prime number?
False
Suppose -5*i = -0*i - 4425. Suppose 3*f = -2*f + i. Is f composite?
True
Suppose -2*m - 2 + 4 = 0, 0 = 3*u + 2*m - 2462. Let f = u + -564. Let n = f - 43. Is n a composite number?
True
Is ((-1)/(-4))/(174/1517976) prime?
False
Let b(p) = p**3 - 4*p**2 + 30. Suppose 5*l - 38 - 32 = 0. Let d be b(l). Suppose -o + 3*a + 1310 = 329, 2*o = -a + d. Is o a composite number?
True
Let p = -4728 + 7987. Suppose 3*m = -3*a - 322 + p, -967 = -a + 5*m. Is a prime?
True
Let c(o) = 5*o**2 - 49*o - 40. Let v(a) = -a**2 + 12*a + 10. Let f(z) = -2*c(z) - 9*v(z). Let g be f(-10). Is 45*(g/6 + 2) a prime number?
False
Let m(q) = -2*q - 7. Let y be m(-4). Is -2 - y*621/(-3) prime?
False
Suppose 329*v - 327*v - 17142 = 0. Is v prime?
False
Suppose -7*u + 48616 + 9141 = 0. Is u a prime number?
False
Suppose 2*g = -3*v + 511, 2*g - 738 = -g + 5*v. Is g composite?
False
Is -12 - -1 - (-721350)/70 prime?
False
Let p be -4*5/((-60)/9). Let t be (2 - p)*6/(-3). Is (-2)/(t + 1680/(-838)) a prime number?
True
Let z(t) = 318*t**3 + 9*t**2 - 11*t + 9. Is z(5) prime?
True
Let w be (-6)/27 - (-4)/18. Suppose w*h = -h + 391. Is h prime?
False
Let l = 2 + 41. Is l prime?
True
Is 2672553/312 - 1/(-8) a prime number?
False
Let k be 1 - (431 - -2)*1. Let o = k + 273. Is 2 + o/(-1) + 2 a prime number?
True
Let i(w) = 190*w - 73. Is i(5) a prime number?
True
Suppose 4*d + 2183 = 5*o, -4*o + 1732 = -d + 5*d. Let i be -2 + -6*(-2)/2. Suppose -o = j - i*j. Is j composite?
True
Let h be ((-22)/(-8))/((-1)/4). Let q be h/((-22)/(-1764))*2. Let m = q - -2685. Is m composite?
True
Let p(d) = d**3 - 7*d**2 + 2. Let m be p(7). Suppose -4*s - 8 = -f, s + 0 + m = 2*f. Suppose -h + 11 + 0 = f. Is h composite?
False
Suppose -2*q + 66 = -88. Is (q - 1) + (-10 - -13) a composite number?
False
Is 102152/32 + 3/4 composite?
True
Let v(c) = -c + 1. Let i be v(3). Is (-4 + 7 + i)*133 a composite number?
True
Suppose 1 = 4*x + f + 4*f, -4*x - 3*f = -7. Suppose 0 = x*p - a - 715 - 18, a + 1 = 0. Is p prime?
False
Suppose 5*q = 2*q + 633. Suppose k + 0*k + 5*u = 211, k - u = q. Is k prime?
True
Suppose 4*p + 26*p = 91230. Is p prime?
True
Suppose -5*a - 3*h + 551 = -356, -2*h + 903 = 5*a. Is a a prime number?
True
Let n(s) be the first derivative of 5*s**3/3 - s**2 + 3. Let h be n(1). Suppose h*f = 7*f - 380. Is f prime?
False
Let f(v) = -58*v - 8. Let c be f(9). Let k = c + 4101. Is k a prime number?
True
Let z = 461 + -332. Is z composite?
True
Let d(j) = -j**3 + j**2 + 2*j + 2459. Is d(0) a prime number?
True
Suppose 0 = -0*i + 2*i + 2*g - 24, 5*i - 2*g = 46. Is ((-5)/i)/((-1)/894) a composite number?
True
Suppose -k = 2*k + 21. Let i(m) = m**2 - 5*m + 2. Let y be i(k). Let f = y + 215. Is f composite?
True
Let z be ((-1835)/(-10))/(2/4). Let l = z + 826. Is l composite?
False
Suppose 6*j = -0*j + 12. Suppose 3*m - j*o - 10398 = m, 0 = 2*m - 4*o - 10406. Is m a composite number?
True
Suppose 110*g - 111*g + 20593 = 0. Is g composite?
False
Let p = 1539 + -2393. Let h = 1236 + p. Is h prime?
False
Suppose 9*n - 1426 - 1436 = 0. Suppose -5*c + n = c. Is c composite?
False
Suppose 2*f + 3*f = 3*b + 13, 3 = -3*b. Let c(y) = -f - 1 + 48*y + 1 + 4. Is c(3) a prime number?
False
Let p = -3279 - -1518. Let c = p + 2864. Is c prime?
True
Let g(w) = w**2 - 6*w - 7. Let j be g(7). Suppose p + 5*r - 6 - 7 = j, -4*p - r = -14. Suppose a = i - 2*i + 355, -5*i = -p*a - 1775. Is i prime?
False
Let x = -47 - -308. Suppose x - 1281 = -4*y. Suppose -5*r = -0*r - y. Is r prime?
False
Suppose -3*g = -2 - 7. Let y be ((-1)/(-4))/(g/24). Suppose -5*t = -y*u + 9 - 642, -4*t = -3*u - 505. Is t composite?
False
Let o(l) = -2*l - 7 - 6 + 11*l**2 - 7*l**2 + 10*l**2. Is o(6) composite?
False
Let y be ((-40260)/16)/(6/(-32)). Suppose 2*c - 3*u + 1443 = 8155, -4*c + y = -4*u. Is c prime?
False
Let j(g) = 1369*g**2 - 8*g. Is j(1) a prime number?
True
Suppose 4634 - 18232 = -26*d. Is d composite?
False
Let m = 4 + -6. Let v be ((-90)/(-12))/(m/(-20)). Let z = -40 + v. Is z a composite number?
True
Let r(u) = 17*u - 30. Let w(n) = -n**2 + 21*n - 15. Let j be w(20). Is r(j) a prime number?
False
Let h be (-14550)/(-14) + 8/(-28). Suppose 0 = -m + 4*c + h, -2*m - c + 2066 = -5*c. Is m a prime number?
False
Suppose d = 2*h - 107 - 36, -d - 146 = -5*h. Suppose 0 = l - 4*j - 43 - 171, -3*l - j = -694. Let x = d + l. Is x a composite number?
False
Let v = 12156 - 1835. Is v a prime number?
True
Let r(u) = 2*u. Let y be r(7). Let d = -12 +
|
{
"pile_set_name": "DM Mathematics"
}
|
5*v - 32. Calculate the smallest common multiple of a and 2.
14
Let r(b) = b**3 - 8*b**2 + 7*b. Let q be r(7). Suppose q = -5*y + 24 + 196. Suppose -y - 22 = -3*z. Calculate the least common multiple of 14 and z.
154
Let l(z) = -z - 21. Let j be l(0). What is the least common multiple of -3 + j/(-4 + 1) and 126/8 - 1/(-4)?
16
Suppose 2*l - 20 = -3*l. What is the lowest common multiple of l and (-116)/(-14) - 4/14?
8
Let b = -67827/14 - -4840. What is the common denominator of b and 37/10?
70
Suppose -5*r + j + 39 = 354, -4*r = 4*j + 228. Suppose 56 = y - 3*h + 24, h = y - 26. Find the common denominator of y and (-15)/(-18)*r/10.
6
Let y(a) = -a**2 - 21*a + 2. Suppose -l = 3*j - 18, 2*j = 4 - 0. Let k = l + -3. What is the least common multiple of k and y(-21)?
18
Suppose 4*n - 4*z = 8, 4*n + 2*z - 2 = 6. What is the smallest common multiple of 1 and n?
2
Suppose 2*c - 1 - 3 = 0. Suppose -3*k = c*a - 5, 3*a - 3*k = -0*k + 15. Calculate the lowest common multiple of 10 and a.
20
Let g(y) = -y**2 - 7*y + 5. Let u = 31 - 20. Calculate the least common multiple of g(-7) and u.
55
Suppose -o + 2*o + 6 = 0. Calculate the smallest common multiple of o/18 + 10/3 and 2/((-9)/(-4) + -2).
24
Let v = 10 + -38/3. Let i = -15/13 + 114/65. Find the common denominator of v and i.
15
Calculate the common denominator of (2 + (-25)/10)/(60/291) and -43/24.
120
What is the common denominator of 10/(-84) - 6/(-18) and 31/22?
154
Find the common denominator of 127/12 and 67*(-4)/48*-3.
12
Let c be (-2940)/((-3)/(-30)*-4). Let y = c + -147063/20. Calculate the common denominator of y and -53/18.
180
Let z = -182 + 1105/6. Calculate the common denominator of -57/7 and z.
42
Find the common denominator of (-339)/18 + 1/3 and 77/16.
16
Suppose -w = -0*w - 9. Let k be (-3 - 0)*w*1. Find the common denominator of 87/14 and 5/(-4)*(-174)/k.
126
Let q = -1 + 2. Let w be -1 + -2*2/(-4). Suppose 2*t - 12 = -w*t. Calculate the least common multiple of t and q.
6
Suppose 8 = 5*v - 27. Suppose 2*r - 40 = v*r. What is the common denominator of 54/5 and (2 + (-81)/r)*-1?
40
Let a = 234/23 + -277/138. Calculate the common denominator of a and 2/3 - (-22)/(-9).
18
Let w = -1500/11 + 139. Find the common denominator of 71/54 and w.
594
Let y = 172 - 1553/9. What is the common denominator of y and 220/(-25) + 9/(-3)?
45
Let o = -149009/30 + 4962. Find the common denominator of -149/66 and o.
330
Let d be 1 + ((-9)/3 - -4). Suppose 3*f - 1 = -m - 3*m, -2*m + 18 = -d*f. What is the smallest common multiple of m and 5?
20
Suppose -100 = -5*l - 0*l. Let g be 1/5 + 38/10. Calculate the least common multiple of 3 + g*5 + -3 and l.
20
Let z = 617015268026/2023935585 + 100958/1848343. Let p = 10/511 + z. Let o = p - 1618/5. What is the common denominator of -24 and o?
3
Suppose -3*l - 7 = -4*l. Suppose 0*s + 5*s - 400 = 0. Suppose 0*f - s = 4*f. Calculate the common denominator of f and l.
1
Find the common denominator of 3/8 and ((-1)/(-3))/((-3)/(-11)).
72
Suppose 3*w + 4*d - 48 = 0, -w - 11 + 46 = -5*d. Suppose -o - x = -2*o + 8, 5*o - x - 24 = 0. Calculate the lowest common multiple of o and w.
20
Suppose 2*a + 7 + 5 = 0. What is the common denominator of -34/3 and 4/(-5)*9/a?
15
Find the common denominator of 813/72 - (-4)/(-6) and -4/3.
24
Suppose 13 = x + 2*x - 4*d, 0 = 2*d - 4. What is the least common multiple of x and 5?
35
What is the common denominator of -37/18 and 6/(-4)*-14*(-3)/(-48)?
144
Let v(s) be the first derivative of -s**3/3 + 4*s**2 + 9*s + 1. Let h be v(7). Calculate the common denominator of 39/2 and (146/(-20))/(h/(-10)).
16
What is the least common multiple of 15 and 1*4/8*10?
15
Calculate the least common multiple of 14 and 14 - (1 - (5 - 2)).
112
Let q = 8772/11 + -176661/220. What is the common denominator of q and 4/10 - (-402)/220?
220
Let p(u) = 2*u. Let o be p(5). What is the common denominator of (5 - 57/2)*2/11 and (6/(-5))/((-7)/o)?
77
Let v = 5 - 3. Calculate the common denominator of 95/4 and 618/(-24)*v/5.
20
Let k = 39909/2 + -20456. Let s = 476 + k. Find the common denominator of -111/20 and s.
20
Let c(i) = i**3 + 11*i**2 - 6*i + 2. Let u be c(-11). What is the lowest common multiple of 20 and u/8 + (-2)/4?
40
Let g be (5/(-3))/((-3)/9). Suppose 0*m = -5*m + 2*y + 56, g*y + 38 = 4*m. Calculate the least common multiple of m and 8.
24
Let z(l) = -l**3 + 11*l**2 + 3. Let g(v) = v**3 + 5*v**2 + 2*v - 1. Let h be g(-3). What is the least common multiple of z(h) and 10?
30
Suppose -4*q = 15 - 63. Let j(f) = -f**3 - f + 2. What is the least common multiple of j(0) and q?
12
Suppose -5*x + 2*x = 3*a + 77351274, 0 = a + 2*x + 25783754. Let v = a + 11912102579/462. Let r = v - 67/33. Calculate the common denominator of r and 5/6.
42
Let l(k) = -k**3 + 4*k**2 + 5*k - 6. Suppose -4*p + 80 = p. Calculate the smallest common multiple of l(4) and p.
112
Let r(d) = d**3 + 3*d**2 + d. Let v be r(-3). Let c be (-6807)/(-1)*2/v. Let z = c + 18057/4. What is the common denominator of 31/4 and z?
4
Suppose -q = -4*c + 31, 5*c - 4*q = 19 + 6. Calculate the lowest common multiple of c and 6.
18
Let j be ((-3)/2)/((-6)/16). Let w = 18 - j. Calculate the least common multiple of 36 and w.
252
Let l(v) = 3*v - 11. Calculate the smallest common multiple of 10 and l(7).
10
Let y = 126 + -76. Calculate the least common multiple of 10 and y.
50
Let c be -2 - ((-78)/2 - -2). Let m = c - 15. Suppose 4*l + 5*h + 1 = 0, 6*l = l - 3*h + 15. Calculate the lowest common multiple of l and m.
60
Let m = 21 + -13. Suppose -2*h = -0*h + m. Calculate the common denominator of 3/6 - 83/h and -17.
4
Calculate the common denominator of 9/28 and (580/(-480))/((-1)/(-2)).
84
Calculate the least common multiple of 12 and (-6)/9*-2*57.
228
Suppose u = 3 + 7. Suppose -2*t - 140 = -5*s + 26, -4*t = 3*s - 110. Let n = -24 + s. What is the lowest common multiple of n and u?
10
Suppose 2*f = 2, 2*p - 2*f = 2*f + 36. Calculate the smallest common multiple of 20 and p.
20
Let a = 1367/10 - 133. Calculate the common denominator of 694/20 - 2/10 and a.
10
Let c = -839524846816111/42534 + 19737735615. Let y be (1/(-2363))/((-1)/(-4)). Let w = c + y. Calculate the common denominator of w and 131/18.
18
Suppose -60*j + 51 + 69 = 0. Suppose 0 = g - 5, -4*g + 2*g + 46 = 4*a. What is the lowest common multiple of j and a?
18
What is the lowest common multiple of (-378)/(-24) - (-2)/8 and 6?
48
Suppose g - 60 = -5*g. Suppose -2 = -3*u + 4. Calculate the least common multiple of g and (1 + 8)*u/3.
30
Let l(v) = -3*v - 16. Let i be l(-7). Suppose 5*j - 5*c + 7 = 17, 0 = -j - i*c + 14. Calculate the smallest common multiple of j and 10.
20
Let h(y) = -y**3 + 6*y**2 - 7*y + 5. What is the least common multiple of 4 and h(4)?
36
Let g = -52807/2 + 25660. Let t = g - -719. What is the common denominator of t and 9/11?
22
Suppose -2*t - 8 = 4*a - 2*a, 5*a = 2*t + 8. Let m = -8 - t. Calculate the lowest common multiple of 12 and (1 - -3)*(-14)/m.
84
What is the common denominator of (-597)/(-54) - 1 - 3*1 and -2 + 4 + 237/36?
36
Suppose 5*g + 9 = -2*w + 66, 4*g - 68 = -3*w. What is the least common multiple of 208 and w?
208
Suppose -4*g + 5*x = -85, -2*x + 58 = 3*g - 0*x. Calculate the least common multiple of g and 6.
60
Let t = 20 - 12. Calculate the lowest common multiple of t and 1.
8
Find the common denominator of -7/6 and (-993)/60 - 5/25.
12
Let c = -5551 + 5439977/980. Let b = -47539/2940 - c. Calculate the common denominator of 21/13 and b.
78
Let p = -5546 + 476949/86. Let r be (-2)/4 - (-3297)/(-172). Let u = r + p. What is the common denominator of u and -21/22?
44
Suppose -3*c = -2*c - 8. Suppose -32 = -5*y + n, 3*y = -2*n - 2*n + 10. What is the lowest common multiple of c and y?
24
Find the common denominator of 93/16 and -1 + 4 + (-417)/108.
144
Let c = -793/6 + 149. Calculate the common denominator of -107/10 and c.
30
Let c be (-21)/12*6*35. Let h = -360 - c. Calculate the common denominator of h and 4/5.
10
Find the common denominator of -119/12 and 178*(4 - (-194)/(-48)).
12
Let i(k) = k + 17. Suppose 3*z + 2*z = -4*f - 42, f = 2*z - 4. What is the lowest common multiple of i(f) and 8?
72
Let h be 12*(39/(-9) - -3). What is the common denominator of -4 + 7 + 29/h and 7/16?
16
Let l = -27 + 40.
|
{
"pile_set_name": "DM Mathematics"
}
|
2291, -2842?
-3399
What is next in -210, -816, -1774, -3042, -4578, -6340, -8286, -10374?
-12562
What is next in 2278, 9164, 20640, 36706, 57362, 82608?
112444
What comes next: 106031, 106030, 106035, 106052, 106087, 106146, 106235?
106360
What comes next: -612, -1235, -1876, -2541, -3236, -3967, -4740, -5561?
-6436
What comes next: 222, 488, 754, 1020, 1286, 1552?
1818
What is the next term in -7306, -7317, -7320, -7309, -7278, -7221, -7132?
-7005
What is the next term in 186, 455, 726, 999, 1274, 1551, 1830?
2111
What comes next: -12211145, -12211144, -12211143, -12211142, -12211141?
-12211140
What is the next term in -17324, -17317, -17310?
-17303
What is the next term in -1810, -3130, -4450, -5770, -7090, -8410?
-9730
What is the next term in 10656, 10657, 10658?
10659
What is the next term in -383173, -383176, -383189, -383218, -383269?
-383348
What is next in -118, -103, 44, 323, 734?
1277
What comes next: -1286, -1289, -1292, -1295, -1298?
-1301
What is next in -409, -3367, -11411, -27085, -52933, -91499, -145327?
-216961
What is next in 11, 30, 45, 56, 63?
66
What comes next: -4, -190, -376, -562, -748, -934?
-1120
What is the next term in 2788, 11173, 25148, 44713, 69868, 100613?
136948
What is the next term in -60, -353, -1128, -2625, -5084, -8745?
-13848
What is the next term in -38, 13, 102, 223, 370?
537
What is the next term in -1755, -1761, -1791, -1857, -1971, -2145?
-2391
What is the next term in 10196, 40773, 91734, 163079, 254808, 366921, 499418?
652299
What is next in -157, -1304, -4419, -10486, -20489, -35412?
-56239
What is the next term in 938, 1006, 1136, 1340, 1630?
2018
What is next in 553, 669, 797, 943, 1113?
1313
What comes next: 14513, 29031, 43549, 58067, 72585?
87103
What is next in -3275, -26514, -89593, -212432, -414951, -717070, -1138709, -1699788?
-2420227
What is next in -42411, -42413, -42415, -42417, -42419?
-42421
What is the next term in -55, -253, -605, -1129, -1843, -2765?
-3913
What comes next: -3225, -2053, -879, 297, 1475, 2655?
3837
What is the next term in -148, -712, -1848, -3712, -6460, -10248, -15232?
-21568
What comes next: 2077313, 2077314, 2077315, 2077316?
2077317
What is next in -1564, -1592, -1620, -1648, -1676?
-1704
What comes next: -298, -704, -1246, -1930, -2762, -3748, -4894?
-6206
What is the next term in -99841, -99872, -99903?
-99934
What is the next term in -3360876, -6721752, -10082628, -13443504, -16804380?
-20165256
What comes next: -960, -1062, -1178, -1314, -1476?
-1670
What comes next: 1539, 1540, 1541, 1542, 1543, 1544?
1545
What is next in 5312, 5549, 5786, 6023, 6260?
6497
What is next in -333, -677, -1021, -1365, -1709, -2053?
-2397
What comes next: -229860, -229861, -229862?
-229863
What comes next: 2553, 2563, 2573, 2583, 2593, 2603?
2613
What is next in -3213, -3210, -3207, -3204, -3201, -3198?
-3195
What is the next term in 59220, 118446, 177672, 236898, 296124, 355350?
414576
What is the next term in -2700, -2625, -2550, -2475, -2400, -2325?
-2250
What is next in -11404, -11421, -11436, -11449?
-11460
What is the next term in 48524, 194068, 436642, 776246, 1212880, 1746544?
2377238
What is the next term in -1407, -2866, -4327, -5790?
-7255
What comes next: -315, -646, -1009, -1404, -1831?
-2290
What is the next term in 181943, 363887, 545831, 727775?
909719
What comes next: -170, -1128, -3746, -8852, -17274, -29840?
-47378
What is the next term in -353, -210, -59, 100, 267, 442?
625
What is the next term in 3908, 3868, 3814, 3740, 3640, 3508, 3338?
3124
What is next in 320, 1175, 2592, 4571, 7112?
10215
What comes next: -4918561, -4918564, -4918569, -4918576, -4918585?
-4918596
What is the next term in -399285, -798578, -1197879, -1597188, -1996505?
-2395830
What is next in -2180, -4357, -6532, -8705, -10876?
-13045
What is the next term in 14899, 29796, 44693, 59590?
74487
What is the next term in -77, -206, -361, -542, -749, -982?
-1241
What comes next: 223, 224, 223, 220, 215, 208?
199
What is next in 142, -20, -288, -662, -1142, -1728?
-2420
What is next in 2737, 10927, 24577, 43687, 68257, 98287, 133777?
174727
What is the next term in 982, 1620, 2680, 4162?
6066
What is next in -15, 299, 1181, 2925, 5825, 10175?
16269
What comes next: 286, 367, 510, 715, 982?
1311
What is next in 196, 413, 632, 853?
1076
What is the next term in -231756, -231752, -231738, -231708, -231656?
-231576
What is next in 880, 244, -392, -1028?
-1664
What is the next term in -187, -1540, -5219, -12388, -24211, -41852, -66475?
-99244
What is the next term in 3683, 8324, 12977, 17648, 22343, 27068?
31829
What comes next: 89925, 90091, 90255, 90417, 90577?
90735
What is next in -9247, -18486, -27727, -36970, -46215, -55462, -64711?
-73962
What is next in -2745, -2392, -2039, -1686, -1333?
-980
What is the next term in -5555, -5555, -5545, -5519, -5471, -5395?
-5285
What is next in -10095, -9831, -9567, -9303, -9039?
-8775
What is next in 630, 2554, 5754, 10224, 15958, 22950, 31194?
40684
What is the next term in 4103, 8168, 12233, 16298?
20363
What is next in 1036, 1093, 1186, 1315, 1480, 1681, 1918?
2191
What comes next: 3090, 3082, 3074, 3066, 3058, 3050?
3042
What comes next: 5331, 10679, 16041, 21411, 26783?
32151
What is next in -356, -410, -482, -572, -680, -806, -950?
-1112
What comes next: -74, -267, -598, -1079, -1722, -2539, -3542, -4743?
-6154
What comes next: -108945, -108947, -108949, -108951?
-108953
What comes next: -35, -133, -227, -317, -403, -485?
-563
What comes next: -95, -183, -253, -305, -339?
-355
What comes next: 3353, 6871, 10389, 13907, 17425?
20943
What is the next term in 9909, 39698, 89355, 158886, 248297, 357594, 486783, 635870?
804861
What comes next: 4250, 4218, 4146, 4016, 3810, 3510, 3098, 2556?
1866
What comes next: 309, 305, 299, 291, 281, 269, 255?
239
What is next in 576, 310, -422, -1854, -4220, -7754, -12690, -19262?
-27704
What is next in 103, 205, 301, 391?
475
What comes next: -1012, -1135, -1256, -1375, -1492?
-1607
What comes next: -17122, -17118, -17110, -17098, -17082, -17062, -17038?
-17010
What is the next term in -6853, -6845, -6823, -6781, -6713, -6613, -6475?
-6293
What comes next: -23757, -23758, -23759, -23760, -23761?
-23762
What comes next: 4445, 8838, 13241, 17660, 22101, 26570?
31073
What comes next: -181, -480, -1019, -1918, -3297, -5276, -7975?
-11514
What is next in -166761, -166754, -166747, -166740, -166733, -166726?
-166719
What comes next: -33507, -134024, -301551, -536088, -837635?
-1206192
What is the next term in -293, -562, -825, -1082, -1333?
-1578
What comes next: 2513, 5007, 7501, 9995, 12489?
14983
What comes next: 32, 117, 220, 305, 336, 277, 92?
-255
What is next in -87826, -351311, -790454, -1405255, -2195714?
-3161831
What is next in 30, -10, -50, -90?
-130
What is the next term in 1539, 1353, 1167?
981
What is the next term in -115781, -231560, -347339, -463118, -578897?
-694676
What is the next term in 186, 323, 470, 633, 818, 1031, 1278?
1565
What is the next term in 282, 758, 1546, 2646?
4058
What is next in 695, 697, 709, 737, 787, 865?
977
What is the next term in 4422, 4406, 4390, 4374, 4358, 4342?
4326
What comes next: -1255, -1578, -2115, -2866, -3831, -5010?
-6403
What is the next term in -1306, -1419, -1728, -2329, -3318, -4791, -6844?
-9573
What comes next: -21927, -22111, -22305, -22515, -22747?
-23007
What is the next term in -51, -152, -423, -942, -1787, -3036?
-4767
What is the next term in -371, -2021, -4773, -8627?
-13583
What is next in -1016230, -1016226, -1016220, -1016212, -1016202, -1016190, -1016176?
-1016160
What is next in 78, 1030, 3632, 8706, 17074?
29558
What comes next: -653, -3097, -7171, -12875, -20209, -29173, -39767?
-51991
What comes next: 839432, 839428, 839422, 839414, 839404, 839392?
839378
What is next in -12803, -51175, -115127, -204659, -319771?
-460463
What is the next term in -1486, -2986, -4444, -5854, -7210, -8506, -9736, -10894?
-11974
What is the next term in -58, -110, -198, -322, -482?
-678
What is next in -12632, -12621, -12610, -12599?
-12588
What comes next: -23400, -46934, -70468, -94002?
-117536
What is the next term in 500, 542, 574, 590, 584, 550?
482
What is the next term in 2173, 2545, 2917?
3289
What comes next: -3443, -6893, -10343, -13793, -17243
|
{
"pile_set_name": "DM Mathematics"
}
|
- 2616, -3*k - h*n + 2619 = 0. Suppose u + 361 = 5*o - 493, 5*o = 5*u + k. What is the units digit of o?
0
Let m be -1 + (-2)/(4/(-10)). Let c(p) = 13*p + 27. Let l(z) = 36*z + 75. Let s(g) = -11*c(g) + 4*l(g). What is the units digit of s(m)?
7
Suppose 174*u + 41496 = 187*u. What is the thousands digit of u?
3
Suppose -i + 3*i + 19 = 5*d, 5*d - 5 = -5*i. Suppose -5*h = -2*k - 2264, d*h = -5*k + 216 + 1161. What is the hundreds digit of h?
4
Suppose -39*u - 41*u = -69*u - 34078. What is the thousands digit of u?
3
Suppose 60931 = 4*x + 3*q - 23217, -63111 = -3*x + 5*q. What is the ten thousands digit of x?
2
Let f(l) = 8*l**2 - 132*l + 66. Let x be f(16). Suppose 2*o = -2*k + 6*k - 130, -2*k = -10. What is the units digit of (x - (-267)/5) + 22/o?
5
Suppose 3*n + 3*d = 33864, 36*n - 4*d = 41*n - 56437. What is the thousands digit of n?
1
Suppose -2*i + 3*i = -g - 8, 0 = -g - 4*i - 14. What is the tens digit of (243/(-36) - g) + (-1019)/(-4)?
5
Let g(f) = -3*f**3 + 13*f**2 - 4*f - 27. What is the hundreds digit of g(-7)?
6
Let h = 8232 + -6256. What is the hundreds digit of h?
9
Suppose -30*x = -36*x - 1722. Let c = 1191 + x. What is the hundreds digit of c?
9
Suppose -151 = -3*s + 2402. Suppose -4*y + 203 = -4*h + s, -y + 482 = 3*h. Suppose 6*r = h + 139. What is the units digit of r?
0
Suppose -5*x = 69*t - 64*t + 1590, -1272 = 4*t - 2*x. Let d = 809 + t. What is the hundreds digit of d?
4
Let y be 1 - (1/(-2))/(3/6). Let w be (36/(-8))/(y/(-12)). Let u = w - -42. What is the units digit of u?
9
Suppose 3*a - 856*b + 858*b = 194362, -4*a + 5*b = -259134. What is the hundreds digit of a?
7
Suppose 209160 = -71533*b + 71557*b. What is the hundreds digit of b?
7
Let c(k) be the third derivative of 13*k**4/24 - k**3 - k**2. Suppose -139*x + 60 = -119*x. What is the units digit of c(x)?
3
Let u(l) = -126*l + 122. Let c(k) = 126*k - 123. Let p(z) = 5*c(z) + 4*u(z). What is the units digit of p(8)?
1
Suppose 0 = 28*z - 32*z + 132. Let s be z*(50/6 - 2). Let n = -140 + s. What is the units digit of n?
9
Let m = 2527 - 623. Suppose 7*x + m = 11*x. What is the units digit of x?
6
Suppose -10*q + 92 = -8*q. Let c(o) = -2*o**3 + 32*o**2 + 11*o - 9. Let r be c(16). Let g = q + r. What is the hundreds digit of g?
2
Suppose -21*m + 39820 = 5*c - 26*m, 2*c = -2*m + 15952. What is the thousands digit of c?
7
Let b(q) = -q**3 + 23*q**2 + 45*q + 36. What is the hundreds digit of b(22)?
5
Suppose -2*b + 3*j = 67, -4*j = -b - 2*j - 36. Let k = 51 - b. Let l = k - -92. What is the tens digit of l?
6
Let u(g) = 24*g**2 - 39*g - 514. What is the ten thousands digit of u(-40)?
3
Let u(w) = 43*w - 7. Suppose 2*d - 4*t = -12 - 4, -10 = 5*d - 4*t. Let p be u(d). Let y = p + -41. What is the units digit of y?
8
Suppose 0 = j - 1 - 3, -3*j - 13 = -5*w. Suppose -8*m - w*m = -13221. What is the thousands digit of m?
1
Suppose 238*l - 242*l - 4*w = -104228, 0 = -l - 3*w + 26061. What is the tens digit of l?
5
Let c be 5*14/(-35) + 8. Let p(h) = 40*h + 144. What is the units digit of p(c)?
4
What is the thousands digit of (3912/(-18))/((-126)/11151)?
9
Let l(r) = r**3 + r**2 - 5*r + 5. Let f be l(-3). Let h(v) = -13*v + 38*v**f + 5 - 78*v**2 + 45*v**2. What is the hundreds digit of h(6)?
1
Let d = 7 - 4. Suppose -f - d = -6. Suppose 0 = -5*n + x - 3*x + 342, -f*x = -n + 82. What is the units digit of n?
0
Let j(t) = 2*t**3 - t + 1. Let o be j(1). Let g(m) = 11*m**3 - 2*m**2 + 2*m + 2. Let c be g(o). What is the units digit of c/((-4)/8 - -1)?
2
Suppose -5*c + 48 = -7*c. Let d be 586/8 - (5 + 114/c). Let u = d - 24. What is the tens digit of u?
4
Let j be -10*(-8)/120*1*-3. Let s(i) = -26*i**3 - 7*i**2 - 8*i - 3. What is the units digit of s(j)?
3
Suppose 7 + 3 = 2*x. What is the tens digit of (3/x)/(3 + (-3568)/1190)?
5
What is the thousands digit of 37 + (-2850)/76 - (264597/2)/(-3)?
4
Let p = 586 + -576. What is the units digit of p/((-270)/(-6903))*(1 - -2)?
7
Let s be ((-13)/(39/3630) - 1)*-2. Let y = -1682 + s. What is the units digit of y?
0
Let s = -71 + 40. Let f = s - -82. Suppose f = b + 7. What is the units digit of b?
4
Suppose 0 = d + 3, -4*d - 17 = -s - 0. Suppose 5*p - 723 = -5*m + 1522, s*m = p - 449. What is the hundreds digit of p?
4
Suppose 76*m = 64*m + 24. Suppose 4*b - 1 = 11, m*p - 2*b = 778. What is the units digit of p?
2
Let s be 183 + (3 - (-5 + 2)). Let v = 71 + s. What is the hundreds digit of v?
2
Suppose -2*q = u - 20, -19*q + 22*q = 5*u + 56. What is the hundreds digit of (4/q)/(4/15972)?
3
Suppose -4*h + 70 = -206. Let w = h + -79. What is the units digit of 4/w*90*(-49)/7?
2
Suppose -9*k = -13*k + 200. Let q be (-8)/2 + 0 + -1. What is the units digit of k - ((-6)/(-15))/(1/q)?
2
Let l(i) = -i**3 + 9*i**2 - 6*i + 3. Let b be l(8). Suppose -18*c - 1169 = -b*c. Suppose -3*h = 3*f - 711, 3*f - 428 = 3*h - c. What is the hundreds digit of h?
2
Let p(t) = -155*t + 928. What is the hundreds digit of p(-14)?
0
Suppose 18*c + 116243 = 3*c + 308438. What is the units digit of c?
3
What is the hundreds digit of (-21588)/3*(-36)/48?
3
Let u = -29497 + 72575. What is the units digit of u?
8
Let g(p) = -p**2 - 14*p + 23. Let o be g(-17). What is the tens digit of o/(-24)*182 + 4/6?
1
Let a = -73863 - -115567. What is the thousands digit of a?
1
Let j be (4 - (-1 - -1)) + -12. Let u(q) = -7*q - 6. Let p be u(j). Suppose 6*g - g = p. What is the units digit of g?
0
Suppose -12*b + 13*b + 7 = 0. Let v(r) = -r**3 + r**2 + r - 1. Let x(a) = 7*a**3 + 2*a**2 - 5*a + 12. Let o(t) = 6*v(t) + x(t). What is the units digit of o(b)?
8
Suppose -35020 = -4*x + 4*l, 4*l - 24 = -0*l. What is the units digit of x?
1
Let m = 1022 - 711. What is the tens digit of m?
1
Let p(x) = -29*x + 805. What is the thousands digit of p(-66)?
2
Let z be (18 - 16)*(-41)/(-2). Suppose -4*k + z + 51 = 0. What is the units digit of k?
3
Let j = -20095 - -34703. Suppose 286*r - j = 275*r. What is the tens digit of r?
2
Let p(h) = 13*h**2 - 23*h + 373. What is the units digit of p(30)?
3
Let s(p) = -p**3 - 19*p**2 - 33*p + 22. Let y be s(-17). Suppose i = -4, y*i = -o + 4*o - 1139. What is the tens digit of o?
7
Suppose 418 = -30*y + 31*y. Let j = 765 - y. What is the tens digit of j?
4
Suppose 5*v - 134685 = 2*s + 24885, -4*v = -s - 127656. What is the tens digit of v?
1
Suppose 343*a - 168*a - 58773 = 142*a. What is the tens digit of a?
8
Let l = -17060 - -31868. What is the tens digit of l?
0
Suppose -7*o + 11*o - 3172 = 0. Let d = o + -232. What is the hundreds digit of d?
5
Suppose n + r = 3*n - 28, 0 = 3*n + r - 32. Suppose -654 - 102 = -n*j. What is the units digit of j?
3
Let b = -1466 - -3528. Suppose b + 8298 = 10*w. What is the thousands digit of w?
1
Suppose 3*c = 4*d + 9319, -3*d - 971 + 4073 = c. What is the hundreds digit of c?
1
Suppose 5*n = -5*p + 35, -2*n + 5*n + p - 17 = 0. Let t be 9/3 - -133 - (n - 8). Let a = 20 + t. What is the units digit of a?
9
Suppose 0 = 220*z - 217*z - 8199. Suppose -h + 830 + 87 = -5*w, -3*h + z = 3*w. What is the units digit of h?
2
Let c(t) = -5*t**3 + 12*t**2 + 333*t - 9. What is the units digit of c(-15)?
1
Suppose -106404 = -10*w + 40546. What is the hundreds digit of w?
6
Suppose 3*t = 3*r + 15, 5*t + 15*r - 37 = 17*r. Suppose t*o - 633 = 6*o. What is the units digit of o?
1
What is the hundreds digit of 2501/(-61)*(-157 + 0)?
4
Let a be (1 - 6 - -6)*2. Suppose -20 = -7*q + a*q, 0 = -3*p - 5*q + 1334. What is the hundreds digit of p?
4
Suppose 49*f - 375402 - 562992 + 231814 = 0. What is the thousands digit of f?
4
Let q(s) = -3*s**2 - 1. Let c(v) = -19*v**2 - 49*v + 24. Let f(x) = -c(x) + 5*q(x). What is the hundreds digit of f(-19)?
4
Let a = 96 + -84. Suppose -2*y + 3*n = -542, 8 = n + a. What is the units digit of y?
5
Suppose 0 = 167*y - 163*y - 3904. What is the units digit of y?
6
Suppose -16*i - 78 = 146. Let j(x) = -x**2 - 18*x + 77. What is the hundreds digit of j(i)?
1
Suppose 47 - 52 = -l. Suppose 0 = -3*m - 4*w + 76, l*w - 6*w = -5*m + 96. What is the units digit of m?
0
Suppose 2*m - 36 = -10*m. Suppose 11 = -2*a - m*q, 3*q + 7 = -a + 2*q. What is the units digit of (-30)/a - (-1 + -220)?
4
Suppose 2*a = 3*z + 290, -75 = -z + 2*z - 5*a. Let x = 163 + z. What is the tens digit of x/(-14)*(-102)/9?
5
Suppose -76*g = -23*g
|
{
"pile_set_name": "DM Mathematics"
}
|
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