text stringlengths 270 8.19k | meta dict |
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6 - z. Calculate the lowest common multiple of 2 and m.
14
Let h be 7/(-3) - (-6)/18. What is the smallest common multiple of 3 and h/3 + (-32)/(-12)?
6
What is the common denominator of 3 - (-2 + (-219)/(-72)) and -46/21?
168
Let s = -12 - -20. Calculate the smallest common multiple of s and 14.
56
Let j = -8038/3 + 2704. Calculate the common denominator of 65/22 and j.
66
Let y be (-35)/18 + (4 - 2). Let u = -184/9 - y. Find the common denominator of u and 45/22.
22
Find the common denominator of ((-98)/40 - -2) + 0 and (121/(-30))/(2/(-6)).
20
What is the common denominator of 2/(-3) + 276/90 and -115/6?
30
Let z be 1*(-12)/(-4) - 28. What is the least common multiple of 8 and 90/z*15/(-6)?
72
What is the smallest common multiple of (-4)/6 + 24/9 and (-10)/(-30)*(-3)/(-1)?
2
Let x = 12 + 1. Let b = x + -7. Calculate the common denominator of 101/2 and (45/8)/(b/20).
4
Let h(q) = -1 + 3 + 6*q - 7*q + 3*q**3 - 2*q**2. Calculate the least common multiple of h(2) and 6.
48
Let m = 2295 + -25215/11. What is the common denominator of (-75)/(-9)*3/(-8) and m?
88
What is the smallest common multiple of (-1 + 3)*(25/2)/5 and 60?
60
Let f be (-21)/(-6) - 3/6. Suppose 0 = 3*s + f*l - 21, 5*s + 3*l - 34 + 5 = 0. Let t = 31 + -17. Calculate the least common multiple of t and s.
28
Let h be 348 + (-3)/((-6)/(-2)). Let a = 1425/4 - h. What is the common denominator of a and 3*2/((-72)/50)?
12
Suppose -4*g + x - 9 = 0, 3*x - 13 = 4*g + 6. Let i be ((-9)/(-18))/(g/98). What is the common denominator of 25/6 and (-2)/(-1) + i/10?
30
Let f = -13 - -8. Let u(j) = -j**2 - 8*j + 2. Let k be u(f). Suppose 65 - k = 4*d. Calculate the lowest common multiple of d and 22.
132
Calculate the common denominator of (2/4)/((-9)/222) and 91/2.
6
Let d(y) = -y**3 + 4*y**2 + y - 1. Let u be d(4). Let q be (-10136)/(-426) - 1/u. Let h = 80/71 - q. Find the common denominator of h and 25/3.
3
Suppose -4*y + 2*y = 10. Let o(f) = -f**2 - 6*f + 6. Calculate the lowest common multiple of o(y) and 3.
33
Let n = 8725 + -15176. Let u = 13254077/6 - 2202541. Let d = n + u. What is the common denominator of -5/14 and d?
42
Let y = 12 + -4. Let m = y - 2. What is the lowest common multiple of m and 14?
42
Let w(x) = -x**2 + 8*x + 17. Let i be w(7). Suppose h + 3*h = i. Calculate the least common multiple of 9 and h.
18
Let y(u) be the third derivative of -u**4/24 + u**3/6 + 5*u**2. What is the lowest common multiple of 10 and y(0)?
10
Let s = -8677/897 + 2/299. What is the common denominator of -53/4 and s?
12
What is the lowest common multiple of 6/57 + 36/19 and 38?
38
Suppose -4*x = 2*i - 2, 0*x + 2*i = 4*x + 2. Let b = x - -6. What is the lowest common multiple of b and 10?
30
Let s = 68/25 - 22669/8325. Let k = -24305/1332 + s. Calculate the common denominator of k and 63/10.
20
Let v(p) = 5*p - 11. Suppose -4*r = 3*u - 29, 3*u - 6 = u. What is the least common multiple of 16 and v(r)?
112
Let i = 27 + -13. What is the least common multiple of (-50)/(-3) + i/(-21) and 12?
48
Let n be 24/9 + (-1)/(-3). Suppose -n*y + 65 = 5*j, 0 = -j - y + 3*y. Calculate the smallest common multiple of 8 and j.
40
Suppose -b = -2*x + 12 + 33, -5*x - 4*b = -80. Let w(h) = 7*h - 3. Let k be w(5). Suppose -2*s = -6*s + k. Calculate the lowest common multiple of s and x.
40
Let f(u) = 2*u**2 + 4*u - 8. What is the least common multiple of f(2) and 12?
24
Let j = 121/37 + -661/666. Calculate the common denominator of 3/(-30)*(-150)/8 and j.
72
Let r = 7/50 + 351/350. Find the common denominator of (62/(-3))/((-10)/3) and r.
35
Let p(l) = 3*l - 4. Let t be p(6). Let r = t - -87. Suppose 0*b - 178 = 4*k + 2*b, 2*k + 5*b + r = 0. What is the common denominator of 41/5 and k?
5
What is the common denominator of (7/(-84))/((-1)/94) and 37/5?
30
Let p(v) = -2*v**2 - 13*v + 4. What is the lowest common multiple of p(-6) and 12?
60
Suppose 0 = 3*i - 2*i - 15788. Let d be (1/(-8))/(33/i). Let y = d + 777/11. What is the common denominator of 35/8 and y?
24
Let c be 30/(-16)*(-70)/(-110). Let a = -163/88 + c. What is the common denominator of -37/16 and a?
176
Let c = 2261/4 - 571. Let p(d) = 27*d**3 - 6*d**2 + 7*d - 5. Let r be p(4). Let z = -36499/22 + r. Calculate the common denominator of z and c.
44
Let o(t) = t**2 + 3*t + 2. Let a be o(-4). Suppose -j - 5 = -a*j. Calculate the lowest common multiple of 6 and j.
6
Let z = 10 + -2. Let h = 5 + 3. What is the least common multiple of z and h?
8
Let u(q) = 2*q**2 + 6*q + 10. Suppose -z = -29 + 9. What is the smallest common multiple of u(-3) and z?
20
Suppose -66 = h - 8. Calculate the common denominator of h/28 + -1 + 0 and 2/(-20)*222/(-12).
140
Let i(q) = -280*q**2 + 4*q - 3. Let u be i(3). Let d = u + 15119/6. Calculate the common denominator of 1/2 - 77/(-20) and d.
60
Let j(g) = -g + 56. Let z be j(0). Calculate the common denominator of -10/9 and 8/(-3)*(-36)/z.
63
Let d = 17 + 3. Calculate the lowest common multiple of d and 16.
80
Let x = 183/31 + -3677/124. Let l = 257/8 + x. What is the common denominator of -62/9 and l?
72
Suppose -d = -2*i - 18, 15 + 55 = 3*d - 2*i. Let x = d - 20. What is the smallest common multiple of 16 and x?
48
Suppose 0*s + 5*k - 36 = 4*s, -s - 4*k + 12 = 0. Let u = 8284 + -182209/22. Calculate the common denominator of (-5)/42 - s/(-6) and u.
154
Calculate the least common multiple of 41/5 - 16/80 and 386.
1544
Let i = 0 - -5. Suppose -5*r - 3*a = -25, r + a = 6*r - i. What is the least common multiple of 16 and r?
16
Let w = -20771/8 - -2588. Suppose -4*m = -p - 2 - 33, 4*m + 180 = -4*p. Find the common denominator of p/16 - (-9)/6 and w.
16
Let l = -3931/2330 - 3/233. Find the common denominator of l and 51/4.
20
Let g = -2 + -3. Let l = g + 12. Calculate the lowest common multiple of 1 and l.
7
Suppose 4*a + 4*u - 28 = 0, -2*a - 2 = -3*u + 4. Let n(x) = x**3 + 3*x**2 + x. What is the lowest common multiple of n(-2) and a?
6
Let w = -12 - -16. Suppose 5*m = 5*k + 115, -m + 2*k + 8 = w*k. What is the smallest common multiple of 6 and m?
18
Suppose 0 = 3*c + 4*n - 49, -c + 3*n = -1 - 11. Find the common denominator of -101/6 and -2 - c/18 - 2.
6
Let t = 30 - 24. What is the smallest common multiple of 32 and t?
96
Let x = -8039 + 48377/6. Let p = -391 + 6645/17. Let z = 185/272 + p. What is the common denominator of x and z?
48
Let m(h) = -3*h + 32. Calculate the least common multiple of 4 and m(0).
32
Suppose -6 = -2*c - 20. Let v(a) = -a**2 - 8*a - 1. What is the least common multiple of v(c) and 4?
12
Let n = -10 - -6. What is the common denominator of 45/4 and (n - 49)*(-1)/2?
4
Let c be (-2)/(-3) + (-10)/15. Suppose c = 4*v - 27 - 17. Let t(x) = -x**2 - 5*x + 4. Calculate the lowest common multiple of v and t(-3).
110
Let p = 7 - 3. Let l(k) = k**3 - 10*k**2 + 12*k - 7. What is the lowest common multiple of p and l(9)?
20
Suppose -3*r - 46 = -1. Let s = r + 21. Let x = 9 + 3. Calculate the smallest common multiple of x and s.
12
Suppose 0 = -2*p - 0*p + 10. Suppose z - 3*g = -3*z + 13, 0 = -5*g + p. Calculate the least common multiple of 10 and z.
20
Suppose 31 = -o + 39. Let a(f) = -f + 9. Let k be a(6). Suppose 0 = -k*i + b - 18 + 89, 3*b = -15. What is the lowest common multiple of o and i?
88
Let y be (5240/18)/((-2)/7). Let d = 1020 + y. Find the common denominator of 38/9 and d.
9
Suppose 5*o - 98 + 18 = 0. What is the least common multiple of (-2 + 12)*(-3)/(-3) and o?
80
Suppose 5*c = 5*k - 5, 4*c = -4*k + 2*c + 22. Let g(v) = 0*v**2 - 2*v**2 - 2*v - 3 + 3*v**2. What is the lowest common multiple of g(k) and 5?
5
Let p(r) = -r**2 - 3*r - 2. Let o be p(-2). Suppose 3*u - 3*g - 36 = u, -2*g = o. What is the lowest common multiple of u and 16?
144
What is the common denominator of 29/9 and (0 + (-2)/(-10))*46?
45
Find the common denominator of -79/14 and (-18)/81 - 482/(-36).
42
Let c be 2/(-8) + (-50419)/4. Let j be (1/57)/((-10)/c). Let h = 360/19 - j. Find the common denominator of h and 61/10.
30
Find the common denominator of -1*22/(-24)*-2 and 27/12*(-6)/(-45).
30
Suppose 0 = 3*o + 2*o - 30. Calculate the smallest common multiple of 6/4 - 104/(-16) and o.
24
Let a = -101203/8 - -12666. Let p = a - 327/16. Find the common denominator of -57/14 and p.
112
Suppose 2*f - 270 = 5*f. Calculate the common denom | {
"pile_set_name": "DM Mathematics"
} |
-84*g - 5*x - 322, -3*g + 3 = -3*x for g.
-4
Solve -342 + 318 = -3*c - y, -3*c + 60 = 5*y for c.
5
Solve -y - 2 = 2*o, 0 = 8503*y - 8501*y - o + 19 for y.
-8
Solve -s = -d, -5*d + 26 - 18 = -s for d.
2
Solve -3*r - 2*i = 86 - 67, -42 = 4*r + 6*i for r.
-3
Solve 293*b = 308*b - 5*m + 55, 5*m = b - 1 for b.
-4
Solve -2824*w + 2825*w = -y + 9, -3*y = 2*w - 22 for w.
5
Solve -3365*z - 5 = -3360*z + 5*y, z + 2*y = -1 for z.
-1
Solve 40 = 4*j - 7*v, -86*v + 89*v = -3*j - 3 for j.
3
Solve -3*c = -3*p + 6, 3*c + 18*p - 51 - 69 = 0 for c.
4
Solve 5*k - 3*g + 42 = 0, 2*g = -1855 + 1853 for k.
-9
Solve -34 = t + 3*f, 2*t - 42*f = -45*f - 35 for t.
-1
Solve -4 = -4*l - 4*w, -4772*w + 4778*w - 24 = 3*l for l.
-2
Solve 4*b - 5*a - 60 = 0, 2*b + 815*a - 112 = 838*a for b.
10
Solve 6*w + 5 = 3*k - 22, 2*w + 5*k - 21 = 0 for w.
-2
Solve -3*m + 3*r + 30 = 0, 3 = -2*m + 3*r + 23 for m.
10
Solve y = -5*s + 6, 31*s - 35*s - 4 = 3*y for s.
2
Solve j = 2, -328*k + 8*j + 8 = -332*k for k.
-6
Solve 0 = -8*r + 7*r - 5*p + 16, -12 = 3*r - 5*p for r.
1
Solve 5*m = 4*o + 21, 3*m - 456*o = -454*o + 11 for m.
1
Solve 13*v - 18*v + x = -3, 2*v = 3*x - 4 for v.
1
Solve -1 = -a - 615*f + 613*f, -4*a + 4*f = 8 for a.
-1
Solve 2*r + 35820 = 3*k + 35805, 25 = 5*k - 3*r for k.
5
Solve 438*c - 433*c + 39 = 3*h, c = 4*h - 52 for c.
0
Solve -3*y + 3*h = -9, -237*h = 5*y - 232*h - 5 for y.
2
Solve 277*x + 6*k + 31 = 282*x, 1 = -k for x.
5
Solve -h = -4*p + 1, 12*h - 17*h - 5 = -p for p.
0
Solve -49 = -2*i - 77, 50 = 4*d - 3*i for d.
2
Solve 5*m + 5*c + 40 = 0, 999*m - 1000*m + 17 = -4*c for m.
-3
Solve -336*v + 339*v + 31 = 5*c + 7, 0 = -c - v for c.
3
Solve -21*m + 20*m - 18 = -4*o, 3*o = -3*m + 21 for o.
5
Solve 4*f + 22 = 5*x, -355 + 357 = -2*f + x for f.
2
Solve -9*c - 2*x = -13*c + 50, 17*c - 4*x - 235 = 0 for c.
15
Solve 5*h - 10 = 0, -5*t - 21 = -135*h + 132*h for t.
-3
Solve -2*v - g - 3 = 0, 8*v - 24 = 13*v + 8*g for v.
0
Solve 3*b = -5*q + 2, -280*b + 275*b - q = -18 for b.
4
Solve 255*s + 36 = 269*s - 4*k, 0 = s + 4*k - 24 for s.
4
Solve -3*n + 139 - 123 = 2*a, n - a - 2 = 0 for n.
4
Solve 0 = -3*l + n + 12, -l + 959*n - 961*n = -11 for l.
5
Solve 5*s = -23 - 42, 0 = -5*p - 10*s - 145 for p.
-3
Solve 5*q = -4*w + 9, -3*q + 11146*w - 11149*w + 6 = 0 for q.
1
Solve -4*t - h - 25 - 22 = 0, 48 = -3*t - 5*h for t.
-11
Solve 408*g - 3*z + 21 = 413*g, 2*z + 30 = 4*g for g.
6
Solve -18 = -6*y, -6 = -3294*m + 3291*m + y for m.
3
Solve 0 = 3*g - 4*t - 13, 38*t = g + 43*t + 21 for g.
-1
Solve -231*v + 227*v = -2*j + 32, -19 = 3*v + j for v.
-7
Solve -5*k - 21 = -4*l + 47, -4*l + 101*k - 100*k = -20 for l.
2
Solve 5*s - 17 = n, -260*n + 17 = 3*s - 264*n for s.
3
Solve 10 = 5*k - 5, 26*z + 4*k = 21*z + 12 for z.
0
Solve 5*d + 24*a + 24 = 0, 5 = -4*d - 11*a + 6*a for d.
0
Solve -2*g - 1 = -104*t + 103*t, 4*g - 9*t - 5 = 0 for g.
-1
Solve 0 = 2*h + 3*m + 14, 4*m + 484 - 477 = -5*h for h.
5
Solve 4*i + 1 = 7*s, -2*i = 3406*s - 3401*s + 9 for i.
-2
Solve -2*p + 4225*h = 4227*h + 28, p + 5*h = -54 for p.
-4
Solve 47846*i = o + 47845*i + 17, o + 4*i = 93 for o.
5
Solve -2*f = 4*y - 297 + 329, 52 = -4*f - 5*y for f.
-8
Solve -i - 56 = -u - 60, 0 = -4*u for i.
4
Solve -4*w = 5*l - 20, 0 = 228*w - 225*w + 4*l - 15 for w.
5
Solve 3*f - 2*x - 7 = 0, 10214*x - 10211*x + 27 = -f for f.
-3
Solve -2*f = -2*n, -59*f + n - 2*n + 4 = -56*f for f.
1
Solve 5*j = -4*x + 11, -7111*j + 2*x = -7110*j - 5 for j.
3
Solve 0 = 62*x - 67*x + 3*c - 10, -20 = 4*c for x.
-5
Solve -4*s - 8 = 0, -9*l - 5*s - 13 = -8*l for l.
-3
Solve -4*c - 13*t + 10*t = -4, -2*t = -4*c + 24 for c.
4
Solve 0 = -5*o + 10, 5*x - 97*o = -102*o - 10 for x.
-4
Solve 2*a = 5*z + 15, 124 = -3*a + 5*z + 139 for a.
0
Solve -5207*i - 3*y - 92 = -5223*i, -4*y = 4*i - 4 for i.
5
Solve -5*l + 6 + 19 = -5*v, 3*l - 591 + 570 = 0 for v.
2
Solve 0 = 4*c + 309 - 317, 4*f + c + 10 = 0 for f.
-3
Solve 26*i - 31*i + 7*k = -2, -2*i = 4*k + 6 for i.
-1
Solve -5*s - 173*m + 172*m - 12 = 0, 3*m + 16 = -5*s for s.
-2
Solve -5*f = s - 4, 27*f - 16*f - 12*f = -2*s + 8 for s.
4
Solve -n + 50 = -3*r, -5*n - 3*r - 6 = 50 for n.
-1
Solve -43*g = 5*a + 149, 5*g + 114*a = 113*a - 19 for g.
-3
Solve 2*h + 325*z - 326*z = 1, 0 = -5*h - 5*z - 20 for h.
-1
Solve 5*w + 20 = 0, -4*i = 5*w + 23 - 11 for i.
2
Solve 0 = i - l - 7, -6 = 186*i - 188*i + l for i.
-1
Solve -u - 2*q = -3, -11*u + 6*u + 2*q - 33 = 0 for u.
-5
Solve 6*p - p + m - 35 = 0, 0 = -p + 5*m + 33 for p.
8
Solve 91 = -4*m - 5*n, -227*n + 232*n = -m - 34 for m.
-19
Solve -18 = -2*u - 6*k, -2*k = -5*u - 198 + 175 for u.
-3
Solve -3*r + 2*q - 53 = 0, -172 = 2*r - 3*q - 135 for r.
-17
Solve -4*f = 2*h + 2, 218*f + 4*h - 6 = 220*f for f.
-1
Solve f + 4*r - 4 = 0, -4*r = -6*f - 179 + 175 for f.
0
Solve -n + 14 = -2*i + 3, -3*i - 29 = -4*n for n.
5
Solve 19*z - 20*z = -2*c + 6, 2*c = 10 for z.
4
Solve -4*t = -5*p - 280 + 262, 4*p + 4*t - 36 = 0 for p.
2
Solve -4*q - 145 = 25*l, -2*l + 0*l + 38*q = 36*q for l.
-5
Solve -m + 2*r - 7 = 0, -5*m - 177 = -4*r - 166 for m.
1
Solve -2608*i = -y - 2610*i - 3, 5*i = 2*y + 15 for y.
-5
Solve -83*h - 56 = -95*h - 4*z, -3*h = -5*z - 4 + 2 for h.
4
Solve 560 = -5*p + 3*d + 498, -2*p = -2*d + 40 for p.
-1
Solve -36 = 5*n + 21*v, 3*v - 8*v = -5*n - 10 for n.
-3
Solve -10*c = -14*c - 36, 2*c + 3 = 5*z for z.
-3
Solve 51 = -7*s + 14190*k - 14194*k, -7*s - 3*k - 47 = 0 for s.
-5
Solve -5 = -5*g, -16*g - 8 = 5*o - 19*g for o.
-1
Solve 13 - 18 = -5*v, -5*v + 3 = -o for o.
2
Solve -2*n - 18 = -2*b - 20, -3*n - 4*b + 3 = 0 for n.
1
Solve -2*j - 6*q = -8*q - 16, 4 = 3*j + q for j.
3
Solve -4*j = -5*p + 37, -5*j + 8*j + 19 = 2*p for p.
5
Solve 0 = -2*r + 4*v + 34, -v + 46 = -5*r + 77 for r.
5
Solve -5*z = 56*g - 59*g + 81, -z - 23 = -4*g for z.
-15
Solve 3*b = -2*m + 21, 2*m + 11 = 3*b - 10 for m.
0
Solve 6*i + 116*d = 115*d + 1, -2*i - 5*d = -5 for i.
0
Solve 5*m = -46*v + 50*v + 60, -2*v + 3*m = 32 for v.
-10
Solve s - 46768*c + 46763*c = 23, 9 = -2*s - c for s.
-2
Solve -p - 32 = -4*o, -3 = 5*o + 2*p - 30 for o.
7
Solve -16 = -4*n + m + m, m - 17 = -3*n for n.
5
Solve -u = 2*c + 14424 - 14410, -5*c + 4*u - 61 = 0 for c.
-9
Solve 1 = -3*p + 4*j, 187*j - 89*j - 3 = 95*j for p.
1
Solve -3*h - 6*d - 43 = -3*d + 5, 4*d + 48 = 0 for h.
-4
Solve 0*v - 6*v = -w + 10, 5*v = 3*w - 4 for v.
-2
Solve -3*a + 14*b + 3 = 11*b, b = 3*a - 7 for a.
3
Solve -32*o - 26 = 5*z - 16*o - 13*o, -5*z = -29*o - 198 for z.
-1
Solve -2*d = -4*w - 8, -407*d - 3*w - 4 = -409*d for d.
-4
Solve 2*v + 23*p - 112 = 68, 2*v - 5*v = -2*p + 22 for v.
-2
Solve -9*y + 13*y - 3 = -3*q, 0 = -y + 3 for q.
-3
Solve 806*l = 804*l - 17*u + 24, 4*u = l + 13 for l.
-5
Solve 0 = -16*o + 11*o - 3*z + 9, 2*o = 2*z + 10 for o.
3
Solve 5*v + 1 = -3*q + 6, -229*v - 6 = -226*v for q.
5
Solve 0 = -4*v - 4*l + 16, 174*v - 5*l = 175*v - 20 for v.
0
Solve -3*q = -3*o - 81, -561*o + 6*q - 166 = -559*o for o.
1
Solve -1 = -t + 3*j, t + 60*j + 11 = 75*j for t.
4
Solve 9 = -q - 4*g, 3*g = 1302 - 1305 for q.
-5
Solve 4*x - 4*m + 149 = 145, x = 3*m - 13 for x.
5
Solve 3*b - 40 = -4*h, 23 = 26*b - 22*b + h for b.
4
Solve -5*s - 2*q = 1, 5*q + 21 - 17 = -11*s for s.
1
Solve 2*d = 3*r + 4, 305*d + 180*d = 970 for r.
0
Solve 0 = -2*o + 3*u - 12, o - 32*u + 34*u = -6 for o.
-6
Solve 11*y = 8*f - 3*f - f - 7, 4 = -4*y for f.
-1
Solve -22358*x + 22361*x = 3*k - 33, 5*x + 4*k = 35 for x.
-1
Solve -3*o + 5*p = 37, -2425 + 2385 = 5*o - 4*p for o.
-4
Solve -4*o - 5*u + 57 = 0, 33*o = 31*o - u + 9 for o.
-2
Solve -493*o = 4*j - 491*o - 20, 2*j + 5*o = -0*j + 42 for j.
1
Solve -98*j - 4*x + 40 = -93*j, 3 = -3*j + 3*x for j.
4
Solve 5*s - q - 40 = 0, 5*s + 12*q - 210 = 47*q for s.
7
Solve -78*f + 74*f + 20 = -15*o, -10 = o - 2*f for o.
0
Solve -2*x + 76*i - 77*i - 18 = 0, -8*x - 76 = 2*i for x.
-10
Solve 18*j - 12 = -4*t + 20*j, 4 = 2*j for t.
4
Solve -5*p + 117*b - 31 = 119*b, -4*p + 28 = -5*b for p.
-3
Solve -3*y - h = 1, -60*h + 30*h = -3*y + 30 for y.
0
Solve 5*t - 22686*g - 30 = -22691*g, 2*g - 32 = 2*t for t.
-5
Solve 127*l + 4*h - 9 = 128*l, -4*l - 4*h = -4 for l.
-1
Solve 0 = -5*g - 2*b - 39, 6*g - 144*b + 9 = -141*b for g.
-5
Solve 5*j = -4*v - 29, 4*j - 18 = -2*v + 8*j for v.
-1
Solve -5*a = 5*y - 32 + 57, 4*a + 2*y = -16 for a.
-3
Solve -77211 + 77182 | {
"pile_set_name": "DM Mathematics"
} |
a) -13 (b) 0 (c) -10 (d) -127
b
Which is the closest to -0.5? (a) 118 (b) -1797 (c) -0.4 (d) 0.1
c
What is the nearest to 0.1 in 0.21, 2, -675167?
0.21
What is the nearest to 2.2 in -3/34, -12.39, 3?
3
What is the closest to -0.2 in 94, -6, 3/4, -40?
3/4
Which is the nearest to 8? (a) -740 (b) 2/3 (c) 134 (d) -0.5 (e) 5 (f) -2/3
e
What is the closest to 0.16 in -10/3, -1, -2, -24, -0.2?
-0.2
What is the closest to -114 in -2/51, -1/11, 1?
-1/11
What is the closest to 1 in -27/7, 0, -2/14445?
0
Which is the nearest to -2.59899? (a) -0.7 (b) 1 (c) 12
a
Which is the closest to 1.41? (a) -3 (b) 5 (c) 11/7 (d) -101 (e) -2/3
c
What is the nearest to -44 in -5, -6, -751, 3?
-6
Which is the closest to -1.8? (a) -5 (b) -10.95 (c) 0.6
c
Which is the closest to -8/7? (a) -1/4 (b) 0.1 (c) -2/7 (d) 1 (e) -10 (f) -28
c
Which is the nearest to 861/20? (a) 104 (b) -0.1 (c) -0.3 (d) -0.4 (e) -1/2
b
Which is the nearest to -1/2? (a) -1 (b) -0.62050008 (c) 0.2
b
What is the nearest to -1 in 2/3, -544, 3/7, 0.4, 1, -7126?
0.4
Which is the closest to -1/3? (a) 7 (b) -0.1 (c) -38 (d) 0.2 (e) -444 (f) 0.1
b
Which is the closest to 2/7? (a) 0.5 (b) -4 (c) 0.3 (d) -5 (e) -453393 (f) -3/4
c
Which is the closest to -183? (a) 0.1 (b) 10 (c) -5 (d) -4 (e) -355
e
What is the closest to 244/7 in 1, -4/7, -1, -0.01, 4, 2?
4
Which is the nearest to -2/5? (a) 20.627 (b) 11 (c) 7
c
What is the nearest to 2/3 in 3, 2179, -4/5, 1/3?
1/3
What is the nearest to -2/3 in 318.2, 0.3, -2, -11?
0.3
Which is the nearest to -0.1? (a) 0.805 (b) 4 (c) -8.7 (d) -4
a
Which is the nearest to -3? (a) 75 (b) -0.2 (c) -5514
b
Which is the nearest to 0.1? (a) 138 (b) -16360 (c) 0.5
c
What is the nearest to 0 in -60877, 1/2, 0.1, -2/11?
0.1
Which is the closest to 1064? (a) -19/3 (b) -19 (c) -1
c
Which is the closest to -1/9? (a) 4 (b) 0.02 (c) -42/149
b
Which is the nearest to -1/3? (a) -0.13 (b) 0.6 (c) -3344 (d) 1/6 (e) 3/4
a
What is the closest to 0 in 59, -78, 2/3, 4, -5, -14?
2/3
Which is the nearest to 856? (a) -0.3 (b) 0.4 (c) 0 (d) -4.9
b
Which is the nearest to 2979? (a) -2/13 (b) 5/6 (c) -2 (d) 2 (e) -4
d
Which is the closest to -0.06? (a) 0.074 (b) -3 (c) -0.16 (d) 2/3
c
Which is the nearest to 306.116? (a) 0.2 (b) 0 (c) -1/5
a
What is the nearest to -0.07 in 4/19, -6, -4, -26, 2?
4/19
Which is the nearest to 1? (a) 42.09 (b) -80 (c) 5/3 (d) -0.3 (e) -3
c
What is the closest to -1 in -2.1, 0, 2/19, -0.04, 4590?
-0.04
What is the nearest to 0 in -16, -0.08, -3/11, -2?
-0.08
What is the closest to 1/32502 in -0.01, -1, 47?
-0.01
What is the closest to -8 in 2, -2/9, 3, 210?
-2/9
Which is the closest to -9? (a) -1375 (b) 50/9 (c) -5
c
Which is the nearest to 6.5? (a) -1/4 (b) 1731 (c) 2/7
c
What is the closest to 177.1 in -1/3, 1/4, 1/3, -1/4?
1/3
What is the closest to -1/3 in 1, 0.1, -2/5, 2/17, -0.011, 60?
-2/5
Which is the nearest to 0? (a) 209 (b) 3 (c) -40 (d) -58 (e) 0.3
e
Which is the closest to -9/7? (a) 281 (b) -1 (c) 0.2 (d) -2/67
b
Which is the closest to 3/5? (a) 2/3 (b) -2 (c) -60077
a
What is the closest to 5/6 in -3, 1, 1132, 6/13, -0.1, -0.5?
1
What is the closest to -3 in -3/3496, 0, 1/609?
-3/3496
Which is the nearest to 3? (a) -0.664 (b) 11 (c) 2/7 (d) 5 (e) 0.5
d
What is the nearest to 0 in -2, -1, -178, 13/2, -3/5?
-3/5
What is the closest to 0.1 in 0.86467, 1, 9, 8?
0.86467
Which is the closest to -0.03? (a) 40 (b) -4376 (c) -3/7 (d) 2/5
c
Which is the closest to -1? (a) 1.2 (b) -175 (c) -0.2 (d) -0.068
c
Which is the closest to 2? (a) -0.05 (b) 0 (c) -11 (d) 15/214
d
What is the closest to -270 in 55, 1/4, -0.5, 7, -4?
-4
What is the closest to 2 in -875, -0.1, 3, -478?
3
What is the nearest to 1134543 in 5, -3, 1/2?
5
What is the nearest to 243 in 6/17, 0, 2/13, 1, -0.06?
1
What is the closest to -1 in 174/26189, -0.1, 10, -4?
-0.1
Which is the closest to 144? (a) -1/2 (b) -1 (c) 2/793
c
Which is the nearest to 363? (a) 4/9 (b) -0.4 (c) 7 (d) -0.3 (e) 4
c
Which is the nearest to -0.1? (a) 7 (b) -563 (c) 1/3 (d) 4 (e) 0.064
e
What is the nearest to -1/3 in 11, -8, 233, 1/4, 0.5, -25?
1/4
Which is the nearest to -15.8098? (a) 5 (b) -0.1 (c) -3 (d) -4 (e) -5.3 (f) -2
e
What is the closest to 7 in -2, 3, 5, 49, 17?
5
What is the closest to -0.2 in 3.539, 0.8, -1, -35?
-1
Which is the closest to 6859? (a) 2 (b) 5 (c) 2/3 (d) 9 (e) 0
d
Which is the closest to -2? (a) -3/7 (b) -14812 (c) -6 (d) -5
a
Which is the nearest to 0.2? (a) 1 (b) 212 (c) -0.1 (d) 0.024
d
What is the closest to 1.72 in 24.316, -0.4, 1/8, 0.4?
0.4
What is the closest to -2/11 in -2/7, -2/17, -0.313, -1, -2/3?
-2/17
What is the nearest to -1/3 in -23/54, 0, -1?
-23/54
What is the closest to -1262.3 in -4, -2, 4?
-4
What is the nearest to 0.1 in -1/11, -9432, -5, 22?
-1/11
Which is the nearest to 1? (a) -61 (b) 0.4 (c) -12.1 (d) 5
b
Which is the nearest to -0.5? (a) 67 (b) 0.3 (c) 1 (d) 120 (e) -0.5 (f) 8
e
What is the closest to 2 in 0.197, -3899, -21?
0.197
What is the nearest to 2 in -4, 587, 13, 3/4, 1/5, -88?
3/4
What is the closest to 0.3 in 1/1659, -1/6, -4, -150?
1/1659
What is the closest to 1/13 in -976.2, -0.1, 2/49?
2/49
Which is the nearest to 22? (a) -12 (b) -564 (c) 0.171
c
What is the nearest to 0.1 in 5, 6, 1/872, 2/17, 0, -43?
2/17
Which is the nearest to 12.82? (a) 1.4 (b) 1/4 (c) 0.093 (d) 0.1 (e) -2/7
a
What is the closest to 4 in 38/7, 1/13, 0.1, 2/17, -6/5?
38/7
What is the nearest to -5 in -4, -1, -11.7, -0.1, 3/7, 36?
-4
Which is the nearest to -5? (a) 0.7 (b) -5 (c) -0.119 (d) -4 (e) 5
b
Which is the closest to 2/3? (a) 0.126 (b) -2/7 (c) 1 (d) 86/11 (e) -3
c
Which is the nearest to 2.2? (a) 2 (b) 0 (c) -90 (d) 32
a
Which is the nearest to 0.1? (a) 4 (b) 17 (c) 0.5 (d) 393 (e) 13/4
c
What is the nearest to -31 in -3/7, -0.9, 1, -40, -2?
-40
What is the nearest to -2 in -0.3, 1080.7, -3094?
-0.3
Which is the nearest to -9942? (a) -26 (b) 0.4 (c) 0 (d) -0.3
a
Which is the closest to -1? (a) 7 (b) 267 (c) 1/2 (d) 2.54
c
What is the closest to 1 in 8.66, 0.3, 0.4, 1314?
0.4
What is the closest to -0.1 in -2.03, 287.1, 1.2?
1.2
Which is the nearest to 2/7? (a) 5/4 (b) -8/3 (c) 2/41 (d) 0.3 (e) -0.6
d
Which is the closest to -4/9? (a) -1546 (b) -25 (c) -1/42
c
What is the closest to -0.1 in -3, 1/84, -17, 1, -67, -0.11?
-0.11
Which is the nearest to 3/14? (a) -24 (b) -1/4 (c) -1/6 (d) 0.5 (e) -5 (f) -13
d
Which is the closest to -10? (a) 5/3 (b) 4 (c) 78/11 (d) 3.6 (e) 59
a
Which is the nearest to -1/2? (a) -5.6 (b) 2 (c) -0.5 (d) 0.2 (e) -0.005
c
Which is the closest to 1/17? (a) 0 (b) 16 (c) 0.167 (d) 1/3
a
Which is the closest to -2.13? (a) 11992 (b) 4/13 (c) 0.2
c
Which is the closest to 0? (a) -352 (b) 1.47 (c) -2.84
b
Which is the nearest to 7? (a) -22 (b) 2/19 (c) -1377
b
What is the closest to 484.507 in -8, -2, 5, 2, -0.2?
5
Which is the nearest to 3? (a) -6978 (b) 0.577 (c) -5 (d) 0.2
b
Which is the nearest to 0.052? (a) 4 (b) -0.1 (c) -17/3 (d) -5
b
Which is the nearest to 1.08? (a) 0.1 (b) -7 (c) 2/3 (d) 4 (e) -55
c
What is the nearest to -2 in -18678.3, -2, -4?
-2
Which is the closest to -0.1? (a) -20949 (b) -3/4 (c) -3/407
c
What is the nearest to 2/5 in 9.578, 0.6, 76?
0.6
What is the nearest to -22 in -0.1, 34/21, -1/3, -3?
-3
What is the closest to -30/19 in -40, 5, 44, 0.3?
0.3
Which is the nearest to -3/31? (a) 32 (b) -0.4 (c) 0.06 (d) -39
c
What is the nearest to -1111 in -2, 0.4, 19.492, -2/9?
-2
What is the closest to 0.285 in 2, -1/4, -0.5, 5, 1/33, -1/5?
1/33
Which is the nearest to -0.1? (a) -1/7 (b) 0.4 (c) 4821/4 (d) -1/3 (e) -1/4
a
What is the nearest to 0.4 in 22, 0, 3/2, -0.0554, -5?
0
What is the nearest to -11/2 in -0.23, -0.3, 1.3, 0.4, -14?
-0.3
What is the closest to 1 in 2.3, -52, 202, -1/4, -12, 1/12?
1/12
What is the closest to 59.291 in 0, -3, -5, 40?
40
What is the closest to -0.036 in 1, -6, 12, 14?
1
Which is the closest to 1.18? (a) -2/19 (b) 2 (c) 5 (d) 0.4
d
Which is the closest to -9999? (a) 4 (b) -21 (c) -2 (d) -2/13
b
Which is the nearest to 0.1? (a) 3 | {
"pile_set_name": "DM Mathematics"
} |
+ 2 + 3)*(-7*k + 14*k + 5*k).
84*k
Expand t + 5 - 3 + 3*t + (2 - 2 - 2)*(-6 + 6 + 18*t).
-32*t + 2
Expand (15*b**3 - 4 + 1 - 11*b**3)*(4 + 1 - 6 + (-4 + 3 + 0)*(4 - 5 - 1) - 1 + 3 - 3 - 1 + 0 - 5).
-24*b**3 + 18
Expand (0 - 2*l**3 + 0 + 0*l**3 + 4*l**3 - 3*l**3 + (-2 - 1 + 1)*(3 - 3 + 2*l**3) + 0*l**3 + 3*l**3 + l**3)*(2*l + l - 9*l).
6*l**4
Expand (14*v + 3*v - 2*v)*(2*v - 4 + 2*v - 3*v).
15*v**2 - 60*v
Expand (0 + 1 + 2 + (2 - 2 - 1)*(-2 - 1 + 1) + 0 + 5 - 4)*(-5*v**3 + v**3 + 5*v**3)*(4*v**2 + v**2 - 3*v**2).
12*v**5
Expand o**4 - 4*o**2 + 4*o**2 + (-5*o + 4*o + 3*o)*(2 - 2 - 2*o**3) + (2*o**2 + 3*o**2 - 6*o**2)*(-o**2 + 2*o**2 + 0*o**2) - 28*o**4 + 39*o**4 + 81*o**4.
88*o**4
Expand (-7 + 2*i + 7)*(9*i**3 + 5*i**2 - 5*i**2)*(-3*i + 2*i - 3*i).
-72*i**5
Expand (0*s + 3*s - s)*((-2 + 1 + 2)*(s - s - s) + 3*s + 0*s - 6*s + 6*s - 16*s - 51*s).
-130*s**2
Expand -39285*p - 4 + 4*p**2 - 8*p**2 + 39281*p - 2*p**2 + 0*p**2 + 3*p**2 + (-3 + 0 + 1)*(-2*p**2 + p**2 + 0*p**2).
-p**2 - 4*p - 4
Expand 3*q**2 - 25*q**2 - 4*q**2 + (4 - 4 + 4*q)*((-4 + 2 + 1)*(-q + 2*q - 3*q) + 3*q + q - 2*q - 2*q + 0 + 0)*(4 + 2 - 4).
-10*q**2
Expand (-4 + 3 + 6*p - 5*p)*(0 + 0 + p)*(-25 + 3 + 145).
123*p**2 - 123*p
Expand (-2*u**3 - 1 + 1)*(3*u - 5*u + 4*u) + 16*u**4 - 15*u**4 + 256*u**4.
253*u**4
Expand -125 + 256*l**5 + 125 + (-3 + 2 - 1)*(-3*l**5 - l**5 + 2*l**5) - l**5 - 5*l + 5*l.
259*l**5
Expand (-1 - 1 + 0)*(42 - 87 - 2274*n + 45).
4548*n
Expand (-2*v + 83*v**4 + 1862 + 2*v**5 - 1862)*(0 + 1 + 0).
2*v**5 + 83*v**4 - 2*v
Expand (n**2 + n**2 + 0*n**2)*(-n**3 + 5*n**3 - 2*n**3) + 4*n**5 - 3*n**5 + 0*n**5 + 85*n**2 - 85*n**2 + 38*n**5.
43*n**5
Expand 2*r**2 - r + r + r**2 - 2*r**2 - 2*r**2 + (-2 + 2 + r)*(4 + 2*r - 4) + 0*r**2 + 0*r**2 - 3*r**2 - 14*r**2 - 3*r**2 + 31*r**2 + 38*r**2.
50*r**2
Expand ((-6*m + 2*m + m)*(m + 4*m - 3*m) + 1 - 2*m**2 - 1)*(16*m + 15*m - 8*m).
-184*m**3
Expand (185*h - 23*h + 78*h)*(-3 + 4 + 3).
960*h
Expand (0*s - 2*s + 0*s)*(32*s**4 + 26*s - 26*s).
-64*s**5
Expand (195*o + 2053 - 2053)*(-2 - 4 + 4)*(5 - 1 - 2).
-780*o
Expand (2 - 2 - 2)*(-73*o - 91*o + 309*o + (4*o - o + o)*(5 - 3 - 1)).
-298*o
Expand (-z + z - z**2)*(-2*z + 0*z + 0*z)*(2*z + 3*z - 2*z)*(3503 + 5*z - 3503).
30*z**5
Expand (-2*l**2 - 1 + 1)*(-3 - l**2 + 3) + 18*l**4 + 3*l**3 + 16*l**4 + 8*l**4.
44*l**4 + 3*l**3
Expand -95*f - f**2 - 4422 + 4422 + (-3 + 3 + 1)*(2*f**2 + 0*f**2 + 0*f**2).
f**2 - 95*f
Expand (-4 + 4 - 1)*(-26 + 17 + 10)*(3*y + 2*y - 2*y).
-3*y
Expand -2*v**2 + v**2 + 3*v**2 + 4*v**2 - 2*v**2 + 0*v**2 + (-16 + 16 + 3*v)*(-4*v + 2*v + 0*v) + 0*v**2 - 2*v**2 + 5*v**2.
v**2
Expand (-3 + 3 - 1)*(-12*f**4 - 6*f**4 + 0*f**4) + 4*f**4 + 4*f**4 - 4*f**4.
22*f**4
Expand (-s - 7*s + 3*s)*(-1 + s + 1) + 4*s**2 - 3*s**2 + 2*s**2 + s**2 + s - 2*s**2 - s**2.
-4*s**2 + s
Expand (0*h**4 - 2*h**4 - h**4)*(1 + 4 - 6)*(0*h + 2*h + 2*h).
12*h**5
Expand -6*t**3 - t**3 + t**3 + (-t + 2*t + t)*(-t**2 - t**2 + 4*t**2) + (-1 - 2*t**2 + 1)*(-1 + 2*t + 1) - 3*t + 2*t**3 + 3*t.
-4*t**3
Expand (-4*y**2 + 3*y**2 + 2*y**2)*((-3*y**2 - 18 + 18)*(-2*y - 2*y + 2*y) + 2*y - 2*y - y**3).
5*y**5
Expand (40*i + 4 - 4)*(3*i**2 - 4 - 2*i**2 + 11).
40*i**3 + 280*i
Expand (-2*l**2 + 0*l**2 + 0*l**2)*(-4 + 4 - 1)*(11 + 3 + 14).
56*l**2
Expand (-1 - 1 + 3)*(g**2 + 3*g**2 - 2*g**2) - 2*g**2 + g**2 + 2*g**2 + 38*g**2 - 32*g**2 + 29*g**2.
38*g**2
Expand (4*p**2 - 7*p**2 + p**2)*(-3*p + 2*p - 4*p)*(7 - 2 - 3).
20*p**3
Expand (-z**4 - 2*z**4 + 0*z**4)*(z - 4*z + z).
6*z**5
Expand -7*s**4 - 3*s**4 - 20*s**4 + (-6*s + 4*s - 6*s)*(1 - 1 - 2*s**3).
-14*s**4
Expand -s + 0*s + 0*s + 5 + (0*s + 0*s + 2*s)*(15 + 2 + 3).
39*s + 5
Expand -4*r**2 + 2*r**2 + r**2 + (0*r - r - r)*(-1 + 2*r + 1) + 140*r**2 - 8439 + 8439.
135*r**2
Expand (-2*d**3 + 4*d**3 - d**3)*(1 - 162*d - 3 + 56*d).
-106*d**4 - 2*d**3
Expand (-2 - 6*y**2 + 3*y**3 + 2 + 7*y**2)*(-476*y**2 - 157*y**2 + 156*y**2).
-1431*y**5 - 477*y**4
Expand (-2*s + 4*s + 0*s)*(0 + 2 - 4) + 31*s - 60*s - 81*s.
-114*s
Expand 2 - 2 - 2*y**2 + (-7 + y + 7)*(-4*y + 3*y + 4*y).
y**2
Expand (-249 - 473 + 462)*(9*i + 0*i + 0*i).
-2340*i
Expand (-d**3 + 0*d**3 + 2*d**3)*(2*d + 0 + 0) + d**3 + 80675*d**2 - 80675*d**2 - 504*d**4.
-502*d**4 + d**3
Expand (2*s**2 - 2*s**2 - s**3 + (-3*s**2 + 0*s**2 - 5*s**2)*(1 - 1 - 2*s))*(0 + 1 + 1)*(1 + 0 + 2).
90*s**3
Expand (-80 + 15*n + 80)*(-1 - 5 + 5)*(-3 - 10 - 14)*(2 + 1 - 2).
405*n
Expand (-4 - 1 + 3)*(-4*i + 4*i - 2*i)*(4*i**2 + 2 - 2) - 3*i + 4*i + i**3 - 2*i.
17*i**3 - i
Expand (b + 2*b - b)*(0 + 3*b**2 + 0) - 533*b + 3*b**3 + 533*b.
9*b**3
Expand (5 - 4 + 0)*(-2*d - 2*d + 5*d + (2 + 14 - 3)*(0*d - d - d) - 2 + 2 + d).
-24*d
Expand (0*u**2 + 2*u**2 + 0*u**2)*(0*u - 4*u + 6*u) - 2*u - 41*u**3 + 2*u + 31*u**3.
-6*u**3
Expand (3*x - 3*x - 2*x)*(16 + 1165*x - 1167*x + 16).
4*x**2 - 64*x
Expand (14*r + 12*r + 20*r)*(-4*r + 4*r - 2*r).
-92*r**2
Expand (2 - 3 + 3 - 4 + 5 - 2 + 0 + 1 + 1 + (4 + 0 - 2)*(-2 - 2 + 6) + 2 - 1 + 0 - 43 - 13 - 30)*(-b + 2*b + b).
-156*b
Expand (-4*g**2 - g**2 + 4*g**2)*(-7 + 17 + 3).
-13*g**2
Expand (-a**4 + 4*a**4 - a**4)*(2 + 1 + 0 + (-4 + 6 - 4)*(-2 + 0 + 4))*(4*a - 2 + 2 + (0 + 3 - 1)*(a + 0*a + 7*a)).
-40*a**5
Expand (-367*m + 1018*m - 14*m)*(3 + 2 - 3).
1274*m
Expand (z**2 - 6 + 6 - 9*z**4)*(2*z + z - 6*z)*(1 - 3 - 1).
-81*z**5 + 9*z**3
Expand (1 - 20 + 4)*(12*m + 10*m - 19*m).
-45*m
Expand 5*c - 2*c - 4*c + (3*c + c - 2*c)*(4 - 4 - 2) - 2*c + 1 - 1 + 6*c - 5*c + 9*c.
3*c
Expand (-10*d + 3*d + d)*(-d - 3*d + 8*d).
-24*d**2
Expand (11 - 2 - 2)*(d + d + 5*d).
49*d
Expand 3*c - c - 3*c + 767 + 163*c - 767 + (3*c - 2*c + 0*c)*(2 - 1 + 1).
164*c
Expand (-34*x - 443 + 443)*(3 + 2 - 3)*(x**2 + x**2 + 9*x**2).
-748*x**3
Expand (-9*q + 8*q - 18 - 16 - 2)*(-16*q**2 - 5*q**2 - q**2).
22*q**3 + 792*q**2
Expand (-2*t - 2*t + 3*t)*(-6 + 3 - 2)*(-3 + 5 + 3).
25*t
Expand (9*m - 16*m - 4*m)*(-2*m + m - 2*m) + (-2 + 2 - 2*m + (-m + m + m)*(3 - 1 - 4) - m + 2*m - 2*m)*(2*m - 5*m + 4*m).
28*m**2
Expand 52*w**5 + 24*w**5 + 10*w**5 + (-4*w + 0 + 0)*(-6*w**4 + 3*w**4 + 2*w**4).
90*w**5
Expand (4 + 22 + 35)*(2*p + 2*p + 4*p + 3*p).
671*p
Expand (-4*l**4 + 4*l**4 - 5*l**4)*(49 - 10*l - 49) + 2*l**5 - 2*l**5 - l**5.
49*l**5
Expand (144*x - 229*x + 219*x)*(-x**3 + 0*x**3 + 2*x**3).
134*x**4
Expand ((2 + 2*u - 2)*(2 + 0 + 2) + 8*u - 10*u - 7*u)*(2*u - 2*u + u**3).
-u**4
Expand (11*n - 28*n + 16*n)*(-10 + 16 - 4 - n).
n**2 - 2*n
Expand (-2*w + w + 3*w)*(w**3 + w**3 + 2*w**3)*(w - 2*w - w).
-16*w**5
Expand (-3*s + s + 3*s)*(4*s**3 - 5*s**3 + 3*s**3) + 4463*s + 22*s**4 - 4463*s.
24*s**4
Expand (-2 - 2 - 6)*(-g**2 + 2*g - g - g**2)*(0 + 3 + 1).
80*g**2 - 40*g
Expand 3*h - 3*h - h**2 + (22*h + 13*h - 10*h)*(-2 + 0 + 1)*(-3 + 2*h + 3).
-51*h**2
Expand m**5 + 0 + 0 + (-2*m - 2*m - 6*m)*(94*m**4 + 5*m - 112*m**4 - 7*m).
181*m**5 + 20*m**2
Expand (-125 + 139 + 570)*(3*f - f - 3*f)*(2 - 5 + 1).
1168*f
Expand -3*b + b + 0*b + (-4 - 1 + 6)*(0*b - 2*b + 3*b) + 18*b + 95*b - 295*b.
-183*b
Expand (9 - 9 + 2*l)*(-3 + 3 - 2*l)*(9 - 17 + 14)*(1 + 4*l - 1).
-96*l**3
Expand (3*h - 3*h + h**2)*(h - 3*h + 0*h + (-1 - 2 - 2)*(0*h - 2*h + 3*h) + 3*h - 4*h + 7*h).
-h**3
Expand (-3*u**2 - 2*u**2 + 7*u**2)*(4*u + 8*u**3 - 36*u**3 + 3*u**3).
-50*u**5 + 8*u**3
Expand (-g**2 - 4*g**2 + 4*g**2)*(3 - 4 + 2) - 3 - g**2 + 3 - 3*g**2 + g**2 + g**2 + 52*g**2 + 36*g**2 - 19*g**2 + 17*g**2.
83*g**2
Expand 4*s**2 - 4*s**2 + 5*s**2 + (-s + s**2 + s)*(0 - 5 + 0 + (-1 - 1 + 0)*(0 - 3 + 0)).
6*s**2
Expand 3 - 2*i**3 - 3 + (4*i + 13*i - 23*i)*(-3 + 3*i**2 + 3).
-20*i**3
Expand 0*l - 3*l + 2*l - 34*l - 70*l + 152*l + (-1 - 1 + 0)*(-2*l + 0*l + 3*l).
45*l
Expand (-3*o + 6 + 5 - 1)*(0 + 3 + 0 + (-6 + 2 + 1)*(-2 + 1 - 1) - 3 - 1 + 6).
-33*o + 110
Expand (0*t - 5*t - 3*t)*(-3*t**2 + 4*t**2 - 3*t**2) + (-t**2 + 0*t**2 + 0*t**2)*(-275 + 275 - 48*t).
64*t**3
Expand (12*b + 0*b + 8*b)*(-5*b**2 + 3*b**2 - b**2) + (-2*b + 3*b + b)*(b**2 + 3*b**2 - 2*b**2).
-56*b**3
Expand -q**2 + q**2 + q**5 - q**5 + 9*q**5 + 5*q**5 + (-q + 4 - 4)*(2*q**4 - 2*q + 2*q) - 4*q**5 - q**5 + 2*q**5 - 3*q**5 + 3*q**5 - q**5.
8*q**5
Expand (1294*z**3 + 1237*z**3 - 2440*z**3)*(0*z + 0*z + z**2 + (-z + 4*z - 5*z)*(5*z - z - 2*z)).
-273*z**5
Expand 101 - u**2 - 2*u**3 - 101 - u**4 + (-5*u**3 + 4*u**3 - u**3)*(-2*u - | {
"pile_set_name": "DM Mathematics"
} |
?
s
Let w = -0.1 + 0.1. Suppose -15*g + 9*g = 0. Which is the nearest to g? (a) w (b) 0.2 (c) 0.3
a
Let k be -2 - -3 - 4/6. Let m(l) = l**2 - 7*l + 3. Let f be m(5). Let q be (f/(-28))/((-14)/16). What is the nearest to q in 1/2, k, 0.1?
0.1
Suppose t - 15 = -0*t - 4*y, 3*t + 4*y = 21. What is the closest to 0 in t, 4, -2?
-2
Let i = -1.4 + 1.4. What is the nearest to 2 in 2, 2/9, i?
2
Let q = 226/3 - 76. Which is the closest to -5/2? (a) 3/7 (b) q (c) 2/11
b
Let h = 3 - 2.9. What is the nearest to h in -0.5, -5, -2?
-0.5
Let q = 3.5 + -3.5. Which is the closest to -2? (a) q (b) 3/4 (c) 2/7
a
Let y = -16 - -15. Suppose 2*k - 132 = -4*x, -3*k + 2*x + 198 = 5*x. Let o = 329/5 - k. Which is the nearest to 0.1? (a) o (b) 5 (c) y
a
Let y be 10/(-10) + -1*1. Which is the nearest to 0? (a) -0.3 (b) y (c) 1/2
a
Let m = 0.95 - 1. Let u = 0.05 + m. What is the closest to u in 2/7, 1/4, 0?
0
Let q = 0.1 - -0.1. Let y be -2*114/(-72) - 6/2. Let l = -1 + 2. What is the closest to 0 in l, q, y?
y
Let m = -0.03 + 0.08. Let l = m - -0.05. Which is the closest to l? (a) 1 (b) 0.5 (c) -2/7
c
Let o be (4 + (-110)/25)*(-15)/6. What is the nearest to -3 in o, 0, -5?
-5
Let g = 14.6 + -15. What is the nearest to -1/4 in -5, 0.4, g?
g
Let n = -0.09 + -3.91. Let m = -7 - n. Let i = 8 + m. What is the closest to -2/3 in i, 3/7, -1?
-1
Let o = -36 - -39. Let j = -0.3 - 6.7. Which is the nearest to 0.1? (a) j (b) o (c) -0.3
c
Let s be (-5)/(-6) - 2/4. Let t = -5 - -16. Let l = t - 10. Which is the nearest to -1? (a) 3 (b) l (c) s
c
Let l = -0.18 + 0.08. What is the nearest to 1 in 0.1, -0.2, l?
0.1
Suppose 0 = -7*l - 14 + 28. Which is the nearest to -1? (a) l (b) -3/4 (c) -1
c
Let r = -22 - -32. What is the closest to -1 in 0.2, 0.5, r?
0.2
Suppose j = 5*l - 7 - 12, -3*l + 21 = -3*j. Which is the nearest to 0? (a) -5/4 (b) l (c) -2/3
c
Let r = -1.4 - -0.4. Suppose -m - 4*m = 5. Which is the nearest to m? (a) r (b) 0 (c) 1/5
a
Let n(l) be the first derivative of -l**2/2 - 4*l + 1. Let r be n(-3). What is the closest to r in -0.3, 5, 1?
-0.3
Let m = -4 - -3. Let q = -0.02 + 1.02. Let p = -2 + q. Which is the nearest to p? (a) m (b) -4 (c) 1/3
a
Let c(q) be the first derivative of q**2/2 + 2*q + 4. Let w be c(0). What is the closest to w in 4, 2/7, -2/5?
2/7
Let o be (2/(-3) - -1)*(40 + -40). Let q = -2.04 - -0.04. Let w = 1.7 + q. Which is the nearest to o? (a) 1 (b) w (c) -4
b
Let s = -1.4 - -0.4. Let y(q) = q. Let h be y(3). Let o = -86 - -603/7. Which is the closest to s? (a) 0.4 (b) h (c) o
c
Let a = -3.16 + 0.46. Let s = a - -2.7. What is the closest to s in -5, 0.4, 0.3?
0.3
Let z = -43.7 - -44. Which is the closest to 1? (a) 5 (b) z (c) 5/4
c
Let w be (-8)/12*12 - -4. What is the closest to 1 in 0.2, 0.1, w?
0.2
Let i = 8 + -10. Let p = -1 + 2. Which is the nearest to p? (a) -0.2 (b) 2 (c) i
b
Let g = -5.7 - -4.7. Which is the closest to -1? (a) -2/17 (b) 5/2 (c) g
c
Let x be (-2)/7 - 834/14. Let h = 60 + x. Let u = -1.7 - -1.9. What is the closest to 1 in u, 2, h?
u
Let k = 1 + 0. Let h = k - 1. Let r = 0.7 + 0.3. Which is the closest to r? (a) 1/7 (b) h (c) -2/7
a
Let y be -2 + 166/34 + -3. Which is the closest to 0.2? (a) y (b) -0.1 (c) 1/3
c
Let c = -3.06 - -0.06. Let i = 3.1 + c. What is the nearest to 0 in -3, i, 2/21?
2/21
Let z = 0.05 + -3.05. Let p = -83.5 - -83. Which is the closest to -3/5? (a) 0.2 (b) z (c) p
c
Let i = -1.6 - -3.5. Let b = i + -1.6. Let v be -1*0*(2 + -1). What is the nearest to v in b, 3, -1/5?
-1/5
Let s = -13 - -13.2. Let x = -0.22 + -0.08. Which is the nearest to -2? (a) 1 (b) s (c) x
c
Let v = -18 + 21. What is the nearest to -1 in v, 0.1, -0.2?
-0.2
Let l = -2.1 + 0.1. Let t(m) = -m**2 - 5*m - 3. Let n be t(-5). Let x be (-6)/((43 + -1)/n). What is the nearest to 1 in x, -1/5, l?
x
Let m(c) = c**2 + 2*c + 3. Let y be m(-2). What is the closest to -0.2 in 5, y, -1?
-1
Let a = 11 + -8. What is the closest to 1.4 in -4, a, -2?
a
Let o = -7 + 8. Let m = 0 + 0.2. What is the nearest to o in -1, -3, m?
m
Suppose 0 = -3*n + 3*r - 3, -4*r = 4*n - r + 25. Suppose 0 = 5*g - g + 12. What is the closest to 0 in g, n, -2/5?
-2/5
Let o = 1.9 + -5.9. What is the nearest to -0.1 in 0, o, -1?
0
Suppose 0 = -10*n + 18*n - 24. Which is the nearest to 0? (a) n (b) 5 (c) -10/3
a
Let k = -17.8 - -18. Suppose -3*j - j + 8 = 0. Let m be j - (2/(-7) - -2). Which is the closest to -5? (a) 3 (b) k (c) m
b
Let z = 0.3 - 0.1. Suppose 0 = 2*r - 0*r + 6. Let f = -8.1 + 8. Which is the closest to -2/7? (a) z (b) f (c) r
b
Let j(x) = -x - 1. Let l be j(-3). Suppose -8 - 2 = -l*r. What is the closest to -0.2 in 0.5, 3, r?
0.5
Let h = 1240/9 + -138. What is the nearest to h in 0.3, -7, 2/7?
2/7
Let l be 1*4*1/(-6). Let i = 0 - 1. Let u = -0.04 - 0.16. Which is the closest to l? (a) i (b) -2/15 (c) u
a
Let d = -247/8 - -31. Let b = 0.2 - 0.3. What is the closest to b in 2/3, 2, d?
d
Let a(k) = k**2 - 4*k + 4. Let p be a(0). What is the closest to 1 in 3/5, -4/5, p?
3/5
Let t = 2/59 - 65/177. Let g = 7/8 + -3/8. What is the closest to t in g, -3/4, 2/11?
-3/4
Let n be ((-24)/15)/(2/(-10)). Let k be (-20)/n*(-4)/35. What is the nearest to -1 in k, 0.4, 1?
k
Suppose -n - 6 = 2*n, 4 = -z + 2*n. Let q = z + 22/3. What is the closest to 1 in 3/8, -1/6, q?
3/8
Let j = 8 - 5. Which is the nearest to -1? (a) 0.4 (b) 1 (c) j
a
Let a = 0.058 + -0.158. What is the closest to a in 0.5, 0.4, -4?
0.4
Let i = -20.2 - -20. Which is the nearest to i? (a) 4/3 (b) 4/7 (c) 3
b
Suppose 0 = 17*m - 33 + 16. What is the closest to m in -2/23, -2, -6/11?
-2/23
Let x = 337/20 + -88/5. Let v = -0.1 + 0. What is the closest to v in x, 5, 2?
x
Suppose 0 = 5*i - 2 + 17. Let k(l) be the first derivative of 2*l**3 - l + 3. Let p be k(1). Which is the nearest to 0.1? (a) i (b) p (c) 1/2
c
Let s = 10 + -4. Let g = 6.2 - s. What is the nearest to 0 in g, 5, -0.5?
g
Let u = -73/252 + -5/36. Let h = -3.2 - 0.8. What is the closest to -1 in 1, h, u?
u
Let s = 3739/2324 + -510/83. Let z = -30/7 - s. Which is the closest to 0? (a) z (b) 2 (c) 4
a
Let a = -9 - -7.2. Let s = -1.7 - a. What is the nearest to s in 3/5, -2/11, 4?
-2/11
Let k be (-24)/18 - (-2)/((-30)/(-23)). What is the closest to 0.1 in -0.5, 3, k?
k
Let k = 0.1 - -0.1. Let c = -8.3 - -8. Let u = 0.09 + 0.01. What is the nearest to u in c, k, 1?
k
Let n = 1.95 - -1.05. What is the closest to n in 1, 0.1, -4?
1
Suppose -i + 3*i + 5*t - 7 = 0, t = i - 21. Let h be i/30*10/4. Which is the closest to 1/2? (a) h (b) -0.5 (c) -0.1
c
Let c = 973/45 + -107/5. Let t = 2 - 5. What is the nearest to 1/3 in t, c, -5?
c
Let b = -29 - -89/3. Let x = -3 - -3.2. Suppose 0 = -4*u + 12 - 0. What is the nearest to b in u, x, -0.2?
x
Let i = -4.2 - -0.2. Suppose -4*f = -3*f. Which is the closest to f? (a) i (b) 1 (c) -0.5
c
Let s be (4/39)/((-12)/18). What is the closest to 0.1 in 1, -1/6, s?
s
Suppose 4*f = 2 + 2. Let h(j) = -j**3 - j**2 - 2. Let x be h(-2). Let a = x - f. What is the nearest to 1 in a, -0.3, 3?
a
Let p = -0.25 - -0.38. Let g = -0.23 + p. What is the closest to -1/3 in -0.4, 4, g?
-0.4
Let w = -17 + 15.8. Let r = w - -1.7. What is the closest to 1 in r, -5, -4?
r
Let n be (-4)/(-8)*(1 - 2). Let w = 10 - 9.86. Let s = 0.04 - w. Which is the nearest to s? (a) -2 (b) n (c) 2
b
Let h be -4*(1 + (-3)/2). Let z be (h/(-5))/((-14)/10). Let d be 125/(-30)*3/10. Which is the nearest to z? (a) -0.1 (b) d (c) -4
a
Let j = 349/565 - 2/113. Let y = 0.012 + 0.088. Which is the closest to y? (a) 0.4 (b) -3/7 (c) j
a
Let g = -0.03 - 0.77. Let z = g - -3.77. Let k = z + 0.03. Which is the closest to 0? (a) 4 (b) k (c) 0.2
c
Let d = -8 + 8. Let h be d + 1/(-4)*3. Let k = -4.3 - -4. Which is the nearest to -1? (a) -2 (b) k (c) h
c
Let w = 49 + -242/5. Which is the nearest to 0? (a) w (b) -0.3 (c) -5
b
Let t be 0 - ((-20)/(-12) + 1 + -3). Which is the closest to 1? (a) t (b) 5 (c) 2
a
Let n = -9.4 - -0.4. Let d = 8.7 + n. Let m = 1.7 - -0.3. What is the closest to m in -1, d, -0.5?
d
Let z = 35 - 38. Let i = -0.3 - -0.4. Which is the nearest to i? (a) 3 (b) 2/3 (c) z
b
Let l = -0.33 + -3.67. Let f be (-3)/2*2 + 1. Let j be f - (-1 - (-9)/(-7)). | {
"pile_set_name": "DM Mathematics"
} |
275))*1) + 1 + 3 + sqrt(275)))**2*-3.
-7500 + 450*sqrt(11)
Simplify 4*(2*(0 + (sqrt(396) + sqrt(396) + -2)*-6) + ((sqrt(396) + 2*(-2 + sqrt(396)) - sqrt(396)) + sqrt(396) - (sqrt(396) + 2)*2)**2).
-960*sqrt(11) + 1936
Simplify (-6*sqrt(126)/sqrt(324)*5)/(5*-2*sqrt(12)/(2*sqrt(24))).
2*sqrt(7)
Simplify -2 + (sqrt(13) + 1 + sqrt(13) + sqrt(13) + -5 - sqrt(156)/(sqrt(96)/sqrt(8)))**2 + 4 + sqrt(1053) + -1 + 0.
-7*sqrt(13) + 69
Simplify (-3 + (6*(sqrt(200) + -3*-1*sqrt(200) + sqrt(200)))/(sqrt(90)/(sqrt(9) - (sqrt(54)/sqrt(3))/sqrt(2) - sqrt(9))))**2*-5.
-90045 - 1800*sqrt(5)
Simplify (sqrt(200) - ((sqrt(200) - (-4*(0 + sqrt(200)) - sqrt(200)))**2 - sqrt(200))) + 2 + (sqrt(18) - 6*(sqrt(18) - (sqrt(72) - sqrt(18))))/sqrt(9)*-2.
-7198 + 18*sqrt(2)
Simplify (-6*sqrt(195)/(sqrt(60)/(1*sqrt(12))))/(5*(sqrt(75) - ((-5*(sqrt(75) - 1*sqrt(75) - sqrt(75)) - sqrt(75)) + sqrt(75) - sqrt(75)))).
2*sqrt(13)/25
Simplify (2*-4*(-1*sqrt(288) + sqrt(288)))/(2*(2*sqrt(9)*-2 + sqrt(9)))*4.
0
Simplify (((sqrt(168) - -2*sqrt(168))/sqrt(7))/sqrt(12) - ((sqrt(2) - (-3 + sqrt(2)*-2 + sqrt(2))) + sqrt(4)/(sqrt(8)/sqrt(4)))**2)*-3 + 4.
45*sqrt(2) + 85
Simplify (2*(1 + (4 + (sqrt(605) + 1 + sqrt(605))*6 - (5 + -2*(sqrt(605) + 3)))))**2.
14784*sqrt(5) + 474896
Simplify (-4*(sqrt(77)/sqrt(7)*1 + sqrt(33)/(sqrt(12)/sqrt(4)) + (-2 + sqrt(1584) - sqrt(11) - (-4*sqrt(77))/sqrt(7))))**2.
-1088*sqrt(11) + 50928
Simplify (2 + 3*(-4 + (sqrt(468) - (sqrt(468) + -1 - sqrt(468))))*-2 + -2)**2 + 1.
-1296*sqrt(13) + 17173
Simplify ((6*(sqrt(12) + sqrt(3) + 5) + 5*sqrt(21)/(sqrt(28)/sqrt(4)) + 0)*3*4)**2.
198720*sqrt(3) + 358128
Simplify ((sqrt(475) - sqrt(475)*2)*2*1 + 2)**2 + ((3*(sqrt(475) + 2 + sqrt(475)))**2 - (-2 + sqrt(475) + 3 + sqrt(475))**2).
300*sqrt(19) + 17139
Simplify (((sqrt(117) + -1 + sqrt(117))*-4 + sqrt(117) - (4 + (sqrt(117) - sqrt(117)*-1))) + -3*(sqrt(39)/sqrt(3) + -4 - sqrt(1300)*1))**2.
144
Simplify -1 + ((-5 + (sqrt(176) - -3*sqrt(176))**2)*5 - (4 + 2 + ((sqrt(176) - sqrt(176)*-3)**2 - sqrt(176)))) + 1.
4*sqrt(11) + 11233
Simplify ((1*sqrt(180)/sqrt(10) - sqrt(18)) + (6*sqrt(648) + sqrt(18) - sqrt(18)))/(-1*sqrt(54)/(sqrt(9)*2)*-4).
18*sqrt(3)
Simplify ((5 + 4 + -1*sqrt(539))*1*-6)**2 + 2.
-4536*sqrt(11) + 22322
Simplify 2 + sqrt(243) + sqrt(288)/sqrt(6) + (-5*3*sqrt(192)*1)**2.
13*sqrt(3) + 43202
Simplify (sqrt(78)*2*2 - 6*(sqrt(78) - sqrt(78)*4))/((sqrt(378)*-1)/(sqrt(448)*1)).
-176*sqrt(13)/3
Simplify (sqrt(3168)*-1)/(2*sqrt(162)) - -6*((sqrt(1584) - (sqrt(1584) + -1 + 1))**2 - (0 + (sqrt(1584) + 1)**2)).
-9510 - 434*sqrt(11)/3
Simplify 2 + 5*(sqrt(63)/sqrt(225))**2 + (sqrt(42)/sqrt(3)*-4)/(sqrt(20)/(-2*sqrt(10))).
17/5 + 8*sqrt(7)
Simplify (4 + 2*sqrt(539)*-3 + -2*sqrt(539) + -5 + (0 + sqrt(11) + 1 - (-2 + sqrt(11) + -5)))**2.
-784*sqrt(11) + 34545
Simplify ((2*(sqrt(156)*-1 + sqrt(156)) + sqrt(156))/(sqrt(9)/(sqrt(3)*-2 + sqrt(3))) - (-1 + sqrt(325) + 2 - 5*(1 + sqrt(637) + sqrt(637))))**2.
504*sqrt(13) + 51613
Simplify (-4*(sqrt(36) - (sqrt(36) - 1*(sqrt(36) - sqrt(144)))))/(-2*sqrt(192)*2*-3).
sqrt(3)/12
Simplify (-3 + (0 + -1*sqrt(847) + -4*3*sqrt(847))*3)**2.
2574*sqrt(7) + 1288296
Simplify -1*((sqrt(700) - sqrt(700)*1)*-4 + 4 + sqrt(700) + 1 + 2 + -6*(sqrt(700) + 1) + sqrt(700) + 1*(sqrt(700) - (sqrt(700)*3)**2)).
30*sqrt(7) + 6299
Simplify -3*(4 + (sqrt(2) - sqrt(10)/(sqrt(5) - sqrt(80))) + 0 - ((-2*sqrt(200) + 2 - sqrt(200))*-5)**2).
-9004*sqrt(2) + 135288
Simplify (-5*(sqrt(4212)*2 + -6*sqrt(52)*2))/((sqrt(288) + (-2*sqrt(288) - sqrt(288)))/(-2*sqrt(128))).
-40*sqrt(13)
Simplify -4 + 1*(-2 + 0 + sqrt(208) + sqrt(208) + sqrt(208) + 4 + (sqrt(208) + 2*(sqrt(208) - sqrt(208)*-2) - (-2 + sqrt(208) + 1)))**2.
216*sqrt(13) + 16853
Simplify (-1*(-4*sqrt(190) - sqrt(190) - sqrt(190))*-3*-2)/(-1*sqrt(80)/sqrt(512)*3).
-96*sqrt(19)
Simplify ((sqrt(180) + -2*sqrt(180)*2 - (4 + -1*sqrt(180) + sqrt(180))) + 3 + -3*sqrt(180) + -4*(-3 + sqrt(180)))**2.
-1320*sqrt(5) + 18121
Simplify (sqrt(5) + 2 + sqrt(5) + 2 - (sqrt(360)/sqrt(8) + sqrt(45))/sqrt(9))**2 - -5*(3 + sqrt(320)*1)**2.
240*sqrt(5) + 1661
Simplify -5*(((-1 + sqrt(192))*5*3 + 5)**2 + 2*(sqrt(192) + -1 + sqrt(192)*-1 + sqrt(192))*-4).
-216540 + 12320*sqrt(3)
Simplify 2*(-4 + (4*((sqrt(539) - (sqrt(539) + 1 + sqrt(539))) + -1)*3*-3)**2).
72576*sqrt(11) + 1407448
Simplify ((6*(-3 + -1 + sqrt(13))*5)**2 - (-5 + 3*(sqrt(208))**2 + 0)) + 5.
-7200*sqrt(13) + 25486
Simplify (((sqrt(63)*1)/sqrt(7) + (sqrt(72) + sqrt(72)*1)/sqrt(8))*-3)/(3*((sqrt(21) + sqrt(21) + sqrt(189))/sqrt(7) - -5*((sqrt(12) - sqrt(3)) + sqrt(3)))).
-sqrt(3)/5
Simplify (4*(sqrt(49) - (sqrt(49) + sqrt(98)/sqrt(2) + sqrt(49)) - sqrt(49))*5*3)/(2*sqrt(700)*-2*-5).
-9*sqrt(7)/10
Simplify ((sqrt(216)*-2)/sqrt(8) + (sqrt(27) + sqrt(243))*4)/((-5*sqrt(729) - sqrt(729))*-2).
7*sqrt(3)/54
Simplify (3*((sqrt(342)/(sqrt(18)/sqrt(3)))/(2*sqrt(147)) - (((sqrt(171) - 2*sqrt(171)) + sqrt(171))/sqrt(9) + sqrt(76) + (sqrt(76)*-4 - sqrt(76)))))**2.
2183499/196
Simplify (2*3*sqrt(6171)*5)/(-1*(sqrt(147) + sqrt(147) + (2*sqrt(147) - sqrt(147))*5 + sqrt(147))).
-165*sqrt(17)/28
Simplify ((-5 + sqrt(5) + (sqrt(60)/sqrt(3))/sqrt(4) + (sqrt(5) + 0 - sqrt(5)) + -1 + 0)**2 + 5)*-3.
-183 + 72*sqrt(5)
Simplify (-3*(sqrt(3630)*1 + sqrt(3630) + ((sqrt(360)*1)/sqrt(12) - sqrt(30))))/((sqrt(108)*-1)/(sqrt(24)/sqrt(3))).
44*sqrt(5)
Simplify (2*(-2*(-3*(2 + sqrt(1053)) + 5) + 3)*2)**2.
8640*sqrt(13) + 606928
Simplify 5 + -4*(0 + 1 + sqrt(13) - sqrt(13))*-4 + (sqrt(65) - -6*(sqrt(65) + -2*sqrt(65) + sqrt(65)))/(2*sqrt(605) + sqrt(605) + sqrt(605) + sqrt(605)) + 3.
sqrt(13)/55 + 24
Simplify ((sqrt(36)/sqrt(2))/sqrt(9) - (sqrt(128) + -1))*-6 + 0 + 2 + (1 + sqrt(288)*2)**2*-4.
-4616 - 150*sqrt(2)
Simplify 5*((((sqrt(272) - -2*sqrt(272)*-3)**2 - sqrt(272)) + -3)*6 - (4 + (-4*2*sqrt(34))/(sqrt(24)/(-2*sqrt(12))))).
-200*sqrt(17) + 203890
Simplify ((-1 + (sqrt(72) + 4*sqrt(72)*2 - (sqrt(72) + -2*sqrt(72) + -1)) + -5 + sqrt(72) + sqrt(72) + -4 + -3)*-1)**2.
-1728*sqrt(2) + 10512
Simplify (sqrt(102)*1*3 + -2*sqrt(102)*3)/(-2*3*(sqrt(600) - (sqrt(600)*2 + sqrt(600))))*-3.
3*sqrt(17)/40
Simplify ((-2*sqrt(152)*-6 + sqrt(152) + 4*2*sqrt(152) + sqrt(152))*1)/(-6*sqrt(648)*1 - 1*sqrt(648)*-1).
-22*sqrt(19)/45
Simplify ((-2*sqrt(68) - sqrt(68) - sqrt(17))*-4)**2 + -1 + ((sqrt(153)*-2 + sqrt(153))**2 - ((sqrt(17)*4)**2*-5 + sqrt(17))).
-sqrt(17) + 14840
Simplify ((sqrt(68) + sqrt(68)*2)*1 - (sqrt(68) + sqrt(68) + -5*4*sqrt(68)))/(5*(sqrt(196) + sqrt(196)*2*-5 + sqrt(196))).
-3*sqrt(17)/40
Simplify (2*(sqrt(684) + 1) + 6*(sqrt(684) + sqrt(684) + 0 + sqrt(684)) - 1*(5 + -3*sqrt(684) + 4))**2.
-1932*sqrt(19) + 361885
Simplify 1*(-2*sqrt(38)/sqrt(2) + (2*sqrt(38))/sqrt(2)) + 6*(sqrt(475) - (((3*sqrt(475) - sqrt(475))*2 - sqrt(475)) + sqrt(475)))**2.
25650
Simplify -1 + (6*(-5*(sqrt(48) - sqrt(3)) - (4 + sqrt(6)/sqrt(2))) + sqrt(27)*-2*-4 + 2)**2 + -4.
3168*sqrt(3) + 16031
Simplify (1*(sqrt(208) - (sqrt(208) + 1*sqrt(208) + sqrt(208)))*4)/(((2*sqrt(96))/sqrt(4))/(sqrt(24)/sqrt(4)*1)).
-8*sqrt(13)
Simplify (2*(-1*(sqrt(170)*2 + sqrt(170)) - sqrt(170)*-1*-5))/(((sqrt(300) + 1*sqrt(300) - sqrt(300))/sqrt(5))/(sqrt(864)*-2)).
384*sqrt(17)
Simplify 3 + ((sqrt(27)*1 + 4)*1)**2 + ((1 + sqrt(6)/sqrt(2) - sqrt(3))**2 + 0)*-1.
24*sqrt(3) + 45
Simplify -5*((((sqrt(1539) + 1 + -5 - sqrt(1539)) + sqrt(1539) + sqrt(1539) - sqrt(1539))*4*1)**2 + (-3*(1 + sqrt(1539) - sqrt(1539))*5*-4)**2).
-142400 + 5760*sqrt(19)
Simplify (-1*(sqrt(128) + -1) + sqrt(128) + sqrt(6)/sqrt(3)*-5 + (-4*sqrt(392))/(sqrt(400)*3))**2.
-178*sqrt(2)/15 + 16067/225
Simplify (sqrt(39)/sqrt(3) + -4 + (sqrt(117) + 0 - sqrt(117) - sqrt(117))**2 + (2*(-1 + sqrt(13)) - (1 + sqrt(13) + 4)))*-4.
-424 - 8*sqrt(13)
Simplify (sqrt(42)/(sqrt(7) - (sqrt(7) + (sqrt(7) - sqrt(112)))) + sqrt(6) + (-2*sqrt(12))/sqrt(2))/(sqrt(3200) + 3*(-1*sqrt(3200) - sqrt(3200))).
sqrt(3)/300
Simplify -5*((-3 + sqrt(60)/(sqrt(25)/sqrt(5)) - (sqrt(81)/sqrt(3)*-2)/(sqrt(27)/sqrt(3)*-1)) + 3).
0
Simplify (sqrt(245) + -3 + sqrt(245) + 0 + 5)**2 + ((-1*sqrt(40)*2)/(-1*sqrt(8)*-1))**2.
56*sqrt(5) + 1004
Simplify ((-6*(sqrt(84)/sqrt(4) + sqrt(21)) + sqrt(21) - -5*(-2*sqrt(21) + sqrt(21)))*5)/((sqrt(252)*-3 - sqrt(252))*-1*-3).
10*sqrt(3)/9
Simplify -5*(4*(sqrt(1584) - -1*sq | {
"pile_set_name": "DM Mathematics"
} |
qrt(396))**2 + 1) - sqrt(396))).
-39685 + 1020*sqrt(11)
Simplify sqrt(150)/(sqrt(6)/(sqrt(6)/sqrt(3))) + ((sqrt(100)*2)/sqrt(2) + (sqrt(450) + (sqrt(450)*2 + sqrt(450) - sqrt(450)) + sqrt(450))/sqrt(9))**2.
5*sqrt(2) + 1800
Simplify (6*sqrt(13)*-2 + 5 + sqrt(104)/(sqrt(200)*1))**2.
-118*sqrt(13) + 45878/25
Simplify 3*6*(sqrt(832) + 1 + sqrt(832) + 2 + sqrt(832)) + -2.
52 + 432*sqrt(13)
Simplify ((sqrt(13) - 2*1*sqrt(13))*3 - (sqrt(1872)*1 + sqrt(13) + 0 + 4))**2.
128*sqrt(13) + 3344
Simplify sqrt(162) - ((sqrt(162)*1 - sqrt(162))**2 + -3) - (sqrt(20)/sqrt(490) + sqrt(2) + sqrt(2) + 5).
-2 + 48*sqrt(2)/7
Simplify ((sqrt(110)/(-5*sqrt(35)/sqrt(7)))/(3*(sqrt(275) - sqrt(11))*-2))**2.
1/7200
Simplify ((sqrt(567)*3 + sqrt(7))*-3 + -3 + (-1 + sqrt(7))**2 + sqrt(7) + 3)*-1.
-8 + 85*sqrt(7)
Simplify (4 + 1*sqrt(171) + -4 + -2)**2 + -5 + -4.
-12*sqrt(19) + 166
Simplify 2*(-4*(sqrt(1377) - sqrt(1377)*1)**2 + sqrt(1377) + (1 + sqrt(1377))*4).
8 + 90*sqrt(17)
Simplify 1*5*(sqrt(88)*4)/(sqrt(11) - 4*sqrt(44)) + -1.
-40*sqrt(2)/7 - 1
Simplify ((-1*sqrt(112))**2 + (sqrt(700)*2 - sqrt(700)) + -5)*1.
10*sqrt(7) + 107
Simplify (sqrt(1216) + 0)**2*-5 + 0 + 5.
-6075
Simplify (-6*sqrt(252) - sqrt(504)/sqrt(2))/(3*(2*sqrt(4) + sqrt(4))*2).
-7*sqrt(7)/6
Simplify -2*((sqrt(475) - (sqrt(475) + -2)*1)**2 + sqrt(475)) + 4.
-10*sqrt(19) - 4
Simplify 3 + (-1*sqrt(44)/sqrt(2))/(sqrt(275)*1).
-sqrt(2)/5 + 3
Simplify 0 + ((sqrt(7) - (-3 + sqrt(63)))*-3 + -5)*-4.
-24*sqrt(7) + 56
Simplify sqrt(7) + -5 + sqrt(7) + -1 + (sqrt(847) + 0)**2 - ((sqrt(140)/(sqrt(20)/sqrt(2)))/(sqrt(16)/sqrt(2)))**2.
2*sqrt(7) + 3357/4
Simplify sqrt(104)/(sqrt(24)/sqrt(3)) + sqrt(325) + -2 + ((sqrt(208)*-1)/sqrt(4) + -6*sqrt(208))**2.
6*sqrt(13) + 8786
Simplify 5 + -1 + (0 + sqrt(80) + -6*-3*sqrt(80))**2 + -3.
28881
Simplify 5 + (sqrt(70) - (sqrt(70) + -1*sqrt(70)*1))/(sqrt(20)/sqrt(2)*6 + sqrt(10)).
sqrt(7)/7 + 5
Simplify ((sqrt(3) + -1 - sqrt(3))*4 + sqrt(3) - (sqrt(432) + -1))**2 - (-5 + -1 + sqrt(363) - sqrt(363))**2*-5.
66*sqrt(3) + 552
Simplify (sqrt(49) + sqrt(98)/sqrt(2))/sqrt(7)*-5 + 2*(sqrt(28) + -1 + sqrt(28) - sqrt(28) - sqrt(28) - sqrt(28))**2.
-2*sqrt(7) + 58
Simplify 4 + -3*sqrt(76)*-2 + 1*sqrt(76) + (1*(-1 + sqrt(19)))**2 + 2.
26 + 12*sqrt(19)
Simplify (0 + 2*sqrt(80) + -3)**2 + -1*2*2*sqrt(80).
-64*sqrt(5) + 329
Simplify -4*(sqrt(68)*2*-3 - (-1 + sqrt(68) + 2))**2 + -2.
-13334 - 112*sqrt(17)
Simplify (4 + (-3*(-2 + sqrt(176) - sqrt(176)) - sqrt(176)) + 5)**2.
-120*sqrt(11) + 401
Simplify (-6*(sqrt(112) - (sqrt(112) - (sqrt(112) + sqrt(112)*2 + sqrt(112))*-2)) + 4 + sqrt(7)*-1 + -1 + sqrt(28))**2.
1158*sqrt(7) + 260752
Simplify -1*(-3 + (-3*(-3 + sqrt(1900) - sqrt(1900)) - sqrt(1900) - sqrt(1900))**2) + 1.
-7677 + 360*sqrt(19)
Simplify (-4*(sqrt(132) + (sqrt(132) - (-2*sqrt(132) + sqrt(132))))*-2)/(((-2*sqrt(84) - sqrt(84) - sqrt(84))*-6)/sqrt(7)) + 2.
2 + sqrt(11)
Simplify -5*(((sqrt(55)/(sqrt(5) - -1*sqrt(5)) + sqrt(1100)*1)*-4)**2 + -5).
-96995
Simplify -4*(sqrt(378)/sqrt(6) + sqrt(315)/sqrt(5) + sqrt(63)/((sqrt(108) + (sqrt(108)*2 - sqrt(108)) + sqrt(108))/sqrt(12)) + 4).
-76*sqrt(7)/3 - 16
Simplify -4 + -4 + (sqrt(1053) - -2*(sqrt(1053) + -1 - sqrt(1053))**2) + -3 + -4.
-13 + 9*sqrt(13)
Simplify (-1*(sqrt(176)*3*3 + (sqrt(176) - (sqrt(176) - (sqrt(176) + sqrt(176)*-3 + 0))))*5)**2.
215600
Simplify -2 + -4*sqrt(26)/sqrt(2)*1*3 + 4.
-12*sqrt(13) + 2
Simplify (((-2 + sqrt(243))*2)**2 - sqrt(243)) + (sqrt(243)*2 + 5)**2.
27*sqrt(3) + 1985
Simplify (1*(-2 + sqrt(300) + -3)*5*3)**2.
-22500*sqrt(3) + 73125
Simplify (sqrt(343) - 6*(sqrt(343) + 1)**2)*-6 + ((sqrt(70)*-1*-4 - sqrt(70)) + sqrt(70))/(sqrt(160)*2).
925*sqrt(7)/2 + 12384
Simplify -1 + (3*(sqrt(143) - (sqrt(143)*3 + sqrt(143))))/(sqrt(99)/(sqrt(36)/sqrt(4))).
-9*sqrt(13) - 1
Simplify -3*((((sqrt(147) + sqrt(147) + -1*(-1 + sqrt(147)) + sqrt(147) - sqrt(147) - sqrt(147)) + -2 + sqrt(147) + 1*sqrt(147))*-6)**2 + 0).
-63612 + 3024*sqrt(3)
Simplify 1 + (-5 + sqrt(1100) + 2)**2 + -5 + -3 + sqrt(1100) + sqrt(1100).
-40*sqrt(11) + 1102
Simplify -1*(1*sqrt(3993)*1)/(sqrt(99)/(sqrt(9) - sqrt(81)) - (sqrt(11) - (sqrt(11) - 1*sqrt(33)/sqrt(3)))).
22*sqrt(3)/3
Simplify (sqrt(1944) - (sqrt(1944) - (-5*(sqrt(1944)*1 - sqrt(1944)) + sqrt(1944))))/(3*1*sqrt(1728)).
sqrt(2)/4
Simplify ((sqrt(104)/(sqrt(8) + (sqrt(216) + sqrt(24) + sqrt(24))/sqrt(3)) + 4)*6)**2.
48*sqrt(13) + 589
Simplify -4 + 6*((sqrt(68) + -1)**2 - (-1 + sqrt(85)/sqrt(5))).
-30*sqrt(17) + 416
Simplify (-3*3*(sqrt(171) + -4*(0 + sqrt(171) + sqrt(171)) - (2 + (sqrt(171)*-1 - sqrt(171)))) + 2)**2.
5400*sqrt(19) + 346675
Simplify (1*sqrt(84)*-5)/((sqrt(96)/sqrt(2))/sqrt(4))*-6.
30*sqrt(7)
Simplify ((2 + sqrt(300) + 2 - sqrt(300)) + sqrt(300) + sqrt(300)*-6*5)**2*2.
-4640*sqrt(3) + 504632
Simplify 1*sqrt(847)*-1*-5 - (4*sqrt(847)*-2*-1)**2.
-54208 + 55*sqrt(7)
Simplify (-2 + 3*(sqrt(7) + -1 + sqrt(7)))**2 - -3*(1*sqrt(7) + 2).
-57*sqrt(7) + 283
Simplify (-4*(3 + (3*(sqrt(304) - (sqrt(304) + -1)) - sqrt(304))) + -3)**2.
-864*sqrt(19) + 5593
Simplify -3 + (sqrt(228)/(sqrt(84)/(-1*sqrt(7))) - (sqrt(931) + (1 + sqrt(931) - sqrt(931))*-3 + sqrt(931)))**2.
-90*sqrt(19) + 4281
Simplify 1*(1*(-3*(sqrt(68) - sqrt(17)))**2 + ((-1*sqrt(2448))**2 - (sqrt(17) - (4 + (sqrt(17) + (-1*sqrt(17))**2 + sqrt(17) - sqrt(17)))))).
2622
Simplify 2 + (sqrt(152) + -5*(sqrt(152) - sqrt(152)*1) + sqrt(152))/(sqrt(8) + sqrt(40)/sqrt(180)).
2 + 12*sqrt(19)/7
Simplify ((sqrt(44)/sqrt(2))/sqrt(2)*-1 + sqrt(99)/(sqrt(9) - (1*sqrt(1089) + sqrt(1089))))**2.
5324/441
Simplify -5*-4*(2*sqrt(1900) + 5)**2*-5*-5.
100000*sqrt(19) + 3812500
Simplify 3*(-4 + sqrt(243) + 3 + -1)**2.
-108*sqrt(3) + 741
Simplify (-5 + sqrt(605) + -2 + sqrt(605) + sqrt(605) + sqrt(605) + -1*(sqrt(605) + sqrt(605) + (sqrt(605) - sqrt(605)*-1)))**2 + 2.
51
Simplify ((sqrt(500)/sqrt(10))**2 - 3*sqrt(162)) + 5.
-27*sqrt(2) + 55
Simplify -4*((-1 + sqrt(833))**2 + -2 - (sqrt(1700) + 1 + -3)).
-3336 + 96*sqrt(17)
Simplify ((sqrt(330)*1)/sqrt(6))/sqrt(5)*-2 - (sqrt(88)/(sqrt(8)*-2) - (sqrt(11) - (sqrt(396) + -1))**2).
-23*sqrt(11)/2 + 276
Simplify (-4*(2*sqrt(24) + sqrt(24)) + sqrt(24))/(1*sqrt(2)*3*6).
-11*sqrt(3)/9
Simplify (-3 + 2 + 1 + -2 + sqrt(153))**2*-3.
-471 + 36*sqrt(17)
Simplify 2*(6*3*sqrt(242)*3)**2*-5.
-7056720
Simplify -6*(sqrt(17) - sqrt(68)/((sqrt(64) - sqrt(4)) + sqrt(4))) - sqrt(119)/(1*sqrt(7)*1).
-11*sqrt(17)/2
Simplify 4*((sqrt(7) - sqrt(252)*4) + -1*sqrt(343) + sqrt(7)).
-116*sqrt(7)
Simplify ((1*sqrt(637))**2*5 + -3*1*sqrt(637))*6.
-126*sqrt(13) + 19110
Simplify ((sqrt(891) - (sqrt(891) - (sqrt(891) + 0)))*2 - sqrt(891))**2*-3 - (sqrt(891) + 0 + sqrt(891) + 4 + (5*(0 + sqrt(891)))**2).
-24952 - 18*sqrt(11)
Simplify 2 + (sqrt(425) + sqrt(17) + 4 + ((sqrt(17) + sqrt(17) + sqrt(51)/sqrt(3))*-2)**2 + sqrt(17))*6.
42*sqrt(17) + 3698
Simplify ((sqrt(35) + sqrt(35)*1*-3 - sqrt(35))/(sqrt(180)*-1)*-2*-2)**2.
28
Simplify -1*sqrt(38)/sqrt(2)*-5*2 - (-5*(sqrt(19) - -3*sqrt(19))**2 - (sqrt(19) + ((sqrt(209) - (sqrt(209) - -3*sqrt(209)))/sqrt(11))**2)).
11*sqrt(19) + 1691
Simplify -5*1*sqrt(891) + 1 - 4*(-2*sqrt(891)*2 + sqrt(891)).
1 + 63*sqrt(11)
Simplify (sqrt(171) - (sqrt(171) - (sqrt(171) - (sqrt(171) - (sqrt(171)*2 - sqrt(171)))*5) - sqrt(171)) - 1*sqrt(171)*-3)/((sqrt(90) + 2*sqrt(90)*-1)/sqrt(10)).
-5*sqrt(19)
Simplify (sqrt(110)/sqrt(2)*2)/(sqrt(55)/sqrt(80))*2.
16*sqrt(5)
Simplify sqrt(500) - (sqrt(500) + 1) - (5*sqrt(45))**2 - sqrt(35)/(sqrt(35)/sqrt(5))*-6.
-1126 + 6*sqrt(5)
Simplify ((sqrt(91) + ((sqrt(91)*1*5 - sqrt(91)) + sqrt(91) - sqrt(91) - sqrt(91)))*-3)/(2*(sqrt(140)/sqrt(4))/sqrt(5)).
-6*sqrt(13)
Simplify (-1*sqrt(117) - (sqrt(65)/sqrt(5) + -3)) + 0.
-4*sqrt(13) + 3
Simplify (sqrt(125) + (sqrt(125) - (sqrt(125) + 2*sqrt(125))) + 1 + 4 + (sqrt(125)*-2 + sqrt(125) - sqrt(125)) + 3)**2.
-240*sqrt(5) + 1189
Simplify -5*-2*(3*(sqrt(13) + 0 + sqrt(13)) + (-1*sqrt(1872) - sqrt(1872) - sqrt(13)) + (-5*(sqrt(104) + -1*sqrt(104) + sqrt(104)))/sqrt(8))**2.
74880
Simplify ((sqrt(54)/(1*sqrt(9)))/(sqrt(20)/(sqrt(160) + sqrt(10))))**2*6.
450
Simplify (6*(sqrt(156) + 3*sqrt(156)*-2 + sqrt(156) + sqrt(156) - sqrt(156)))/(sqrt(48)/(sqrt(16)/sqrt(4)*-2)).
48*sqrt(13)
Simplify (-1 + (5*sqrt(832)*-1 + -3 + sqrt(832) + 1)*-5)**2.
288 | {
"pile_set_name": "DM Mathematics"
} |
(l) = 108*l**2 - 72*l + 12. Let h(w) = -27*w**2 + 18*w - 3. Let f(u) = 4*a(u) + 15*h(u). Factor f(g).
3*(3*g - 1)**2
Let z be (-5)/(-10)*-3 - 14/(-4). Solve 2/5*t**z + 0 - 4/5*t = 0 for t.
0, 2
Suppose 4 = 4*h - 12. Let g = 6 - h. Find o, given that -4*o**2 - 2*o**g - 2*o**3 + o - o + 8 = 0.
-2, 1
Let z(a) be the second derivative of a**8/1680 - a**7/280 + a**6/120 - a**5/120 + a**3/3 + 2*a. Let i(r) be the second derivative of z(r). Factor i(n).
n*(n - 1)**3
Factor 10/9*t**2 + 0 + 2/9*t**3 + 8/9*t.
2*t*(t + 1)*(t + 4)/9
Find l such that -2*l - 3*l + l + 10*l**2 + 0*l = 0.
0, 2/5
Let s(m) be the first derivative of 3*m**7/2 - 2*m**6 - 9*m**5/20 + m**4/2 - 3*m - 2. Let z(d) be the first derivative of s(d). What is y in z(y) = 0?
-1/3, 0, 2/7, 1
Find c, given that -7/4*c + 3/4 + 5/4*c**2 - 1/4*c**3 = 0.
1, 3
Suppose -5*c = 1 - 11, v = c. Factor 6*g**2 - 2*g**2 - 2*g**2 - v*g.
2*g*(g - 1)
Let z be ((-4)/(-30))/(-4 - (-216)/45). Factor -2/3*w**2 - 1/6*w - 2/3*w**4 - z*w**5 - w**3 + 0.
-w*(w + 1)**4/6
Let r = 978 + -976. Factor 0 - r*c - 4/3*c**2 - 2/9*c**3.
-2*c*(c + 3)**2/9
Let y(o) be the first derivative of o**8/420 + o**7/840 - o**6/90 - o**5/120 + o**3 + 9. Let g(m) be the third derivative of y(m). Factor g(n).
n*(n - 1)*(n + 1)*(4*n + 1)
Let r(a) be the third derivative of a**5/60 - 5*a**4/6 + 50*a**3/3 - 55*a**2. Factor r(o).
(o - 10)**2
Suppose -2*v - 7 = -11. Factor -v*k**3 - 5*k**4 - 18 + 18.
-k**3*(5*k + 2)
Let j(a) = a**3 + 4*a**2 + 4*a + 4. Let f be j(-3). Let p = 1 + f. Factor -o**3 - 2*o - o**3 + 2*o**p + 2*o**2.
-2*o*(o - 1)**2
Let d be (2/8)/(51/24 - 2). Let v(x) be the second derivative of x + 0 - 1/12*x**4 - 1/2*x**d - 1/3*x**3. Let v(t) = 0. Calculate t.
-1
Let f(m) be the third derivative of -7*m**2 + 0*m - 2/3*m**3 - 1/30*m**5 + 0 + 1/4*m**4. What is s in f(s) = 0?
1, 2
Factor 16*p + 44*p**2 + 36*p**2 + 579*p**3 - 487*p**3 + 28*p**4.
4*p*(p + 1)*(p + 2)*(7*p + 2)
Suppose 0 = s + 4*b + 239, -4*s - 876 = b - 5*b. Let m = 2011/9 + s. Factor 2/3*j**2 - 4/9 - m*j**3 + 2/3*j.
-2*(j - 2)*(j + 1)*(2*j - 1)/9
Let o = 3 + 0. What is y in y**o + 2 - 3*y**2 + 3*y - 7 + 4 = 0?
1
Factor 64/9 + 32/9*h + 4/9*h**2.
4*(h + 4)**2/9
Let t be 4/(-5) - (-90)/108. Let y(r) be the second derivative of 2/15*r**3 - 4*r - 1/10*r**2 + 0 - t*r**4 + 1/50*r**6 - 1/25*r**5. Factor y(c).
(c - 1)**2*(c + 1)*(3*c - 1)/5
Let a be (-4)/16*0 - -25. Suppose -4*v = -9*v + a. Suppose 12/7*w**2 - 8/7*w**4 + 2/7*w - 4/7 + 6/7*w**v - 8/7*w**3 = 0. What is w?
-1, -2/3, 1
Let m(w) = -5*w**2 - 30*w - 47. Let b(p) = -5*p**2 - 30*p - 48. Let z(c) = -2*b(c) + 3*m(c). Find f, given that z(f) = 0.
-3
Suppose -12/7*f**3 - 6/7 + 2/7*f**4 + 10/7*f + 4/7*f**2 + 2/7*f**5 = 0. What is f?
-3, -1, 1
Let o(k) be the first derivative of -28*k**3/3 - 60*k**2 - 32*k + 6. Factor o(c).
-4*(c + 4)*(7*c + 2)
Let k(p) be the third derivative of -p**5/135 - p**4/27 + 2*p**3/9 + 8*p**2. Suppose k(b) = 0. What is b?
-3, 1
Let -1/3*u**2 + 3 + 8/3*u = 0. What is u?
-1, 9
Let u be 1/(-1)*-2 - 14/8. Factor -1/2 - u*f**2 - 3/4*f.
-(f + 1)*(f + 2)/4
Let s = 12 - 10. Suppose -14*h - 11*h**2 - 9*h**3 + 10*h + 21*h**3 + h**s + 18*h**4 = 0. Calculate h.
-1, -1/3, 0, 2/3
Let k(s) = s**2 - 5*s + 6. Let u be k(4). Let f(i) be the second derivative of 5/6*i**4 + 0 + i + u*i**2 + 7/3*i**3. Suppose f(n) = 0. Calculate n.
-1, -2/5
Suppose -h - 3*p = -2, -5*p = -3*h - 4*p + 6. Solve -2/11*a**h - 2/11*a**3 + 2/11 + 2/11*a = 0.
-1, 1
Suppose 5*x - 14 + 4 = 0. Let g(l) be the first derivative of -2/5*l**5 - 2 + 2/3*l**3 - 1/2*l**x + 1/6*l**6 + 0*l**4 + 0*l. Factor g(i).
i*(i - 1)**3*(i + 1)
Solve 3 - 101*r**2 + 110*r**2 - 7 + 3*r**3 - 8 = 0 for r.
-2, 1
Suppose 9/7*b - 12/7*b**2 + 3/7*b**3 + 0 = 0. What is b?
0, 1, 3
Let m(h) be the second derivative of -1/10*h**5 - 1/15*h**6 + 1/6*h**4 + 0 + 1/21*h**7 + 0*h**3 - 4*h + 0*h**2. Solve m(k) = 0.
-1, 0, 1
Let o be -4 + 3 - 3/(-2). Factor 0 - 2*p**2 + p**4 + o*p**5 + 2*p - 3/2*p**3.
p*(p - 1)**2*(p + 2)**2/2
Suppose -5*f = -0*f - 30. Let k(w) be the third derivative of 0*w - 3*w**2 - 1/540*w**f - 2/27*w**3 + 0 - 5/108*w**4 - 2/135*w**5. Factor k(p).
-2*(p + 1)**2*(p + 2)/9
Let p be (15/(-6))/5*-68. Let m = 104/3 - p. Determine g so that 2/3 + m*g**2 + 4/3*g = 0.
-1
Let o be 5/(-6)*-1*8/10. Let o*u**5 - 2/3*u**3 + 0 + 2/3*u**4 + 0*u - 2/3*u**2 = 0. Calculate u.
-1, 0, 1
Let w(o) be the first derivative of 4*o**3/3 - 4*o**2 + 4*o - 7. Let w(l) = 0. What is l?
1
Let i(k) be the second derivative of -k**6/1980 + k**5/330 - k**4/132 - k**3 + 5*k. Let b(a) be the second derivative of i(a). Factor b(m).
-2*(m - 1)**2/11
Let 6*o + 0*o**3 - 15*o**2 - 3*o**4 - 3*o**3 + 15*o**3 + 0*o = 0. What is o?
0, 1, 2
Let t(h) be the first derivative of h**6/15 - h**4/10 - 1. Factor t(r).
2*r**3*(r - 1)*(r + 1)/5
Let g be -1 + 4/3 - (-77)/(-330). Let w(c) be the first derivative of 8/25*c**5 + 0*c**3 + g*c**4 + 0*c - 3 + 0*c**2. Factor w(n).
2*n**3*(4*n + 1)/5
Let i(p) be the second derivative of -p**6/180 + p**5/60 + p**3/3 - 5*p. Let s(q) be the second derivative of i(q). Factor s(y).
-2*y*(y - 1)
Let r(p) be the second derivative of 0*p**2 - 1/35*p**7 - 1/50*p**5 + 4/75*p**6 + 0*p**3 + p + 0*p**4 + 0. Solve r(o) = 0 for o.
0, 1/3, 1
Suppose -16*j**3 + 7*j**3 + 5 + 10*j - j**3 - 3*j**2 - 2*j**2 = 0. What is j?
-1, -1/2, 1
Let n(o) be the second derivative of 2*o - 1/21*o**3 - 2/7*o**2 + 0 + 1/42*o**4. Find r, given that n(r) = 0.
-1, 2
Let l(d) be the second derivative of 0*d**3 + 1/30*d**5 + 1/36*d**4 + 0 + 0*d**2 - d. Factor l(x).
x**2*(2*x + 1)/3
Let q(n) = n**4 + 3*n**3 + 10*n**2 + 15*n + 1. Let y = 6 + -3. Let a = 4 - 8. Let p(w) = w**4 + 2*w**3 + 9*w**2 + 16*w. Let v(r) = a*q(r) + y*p(r). Factor v(d).
-(d + 1)**2*(d + 2)**2
Let c be (-2)/3 - (-26)/39. Solve -6/7*t**2 + 4/7*t + c + 2/7*t**3 = 0.
0, 1, 2
Let n be (-16)/(-8) - (1 + -1). Factor 4/7*z + 22/7*z**2 + n*z**4 + 0 + 32/7*z**3.
2*z*(z + 1)**2*(7*z + 2)/7
Let p be (2 - (4 + -2))/(-1). Let c(r) be the first derivative of -2 + p*r**2 + 1/21*r**6 + 0*r + 0*r**5 + 4/21*r**3 - 3/14*r**4. Factor c(f).
2*f**2*(f - 1)**2*(f + 2)/7
Let a(k) be the first derivative of k**6/1440 + k**5/80 + 3*k**4/32 + k**3 + 5. Let v(o) be the third derivative of a(o). Factor v(n).
(n + 3)**2/4
Suppose 0*b + 20 = -4*l - 4*b, -5 = 5*l + b. Let p = l + 7. Factor 10*r**3 - 2 - 5*r**2 - 2*r**3 + 8*r - p*r**2 - 2*r**4.
-2*(r - 1)**4
Let n(q) be the third derivative of 0*q + 0 - 1/12*q**3 - 2*q**2 - 1/12*q**4 - 1/40*q**5. Suppose n(t) = 0. Calculate t.
-1, -1/3
Let o be ((-6)/40)/(24/(-60)). Let m(i) be the first derivative of o*i**2 + 3/4*i**3 - 4 - 3/2*i. Factor m(x).
3*(x + 1)*(3*x - 2)/4
Let m(h) = -2*h + 16. Let p be m(7). Solve -7*i**3 + 20*i - 4 - 15*i**2 + 3*i**p - 29*i**3 = 0.
-1, 1/3
Let p(k) be the first derivative of k**6/360 - k**5/60 - k**4/8 + 4*k**3/3 - 2. Let j(g) be the third derivative of p(g). Solve j(f) = 0.
-1, 3
Suppose 30 = 5*d + 4*t, -3*d = -0*d - 4*t + 14. Factor 16*s - 1 + 11 + 2*s**3 - d + 10*s**2.
2*(s + 1)*(s + 2)**2
Let h(y) be the first derivative of -y**5 - 15*y**4/4 - 5*y**3 - 5*y**2/2 - 12. Let h(r) = 0. Calculate r.
-1, 0
Let p(q) be the second derivative of q**5/20 - 7*q**4/24 + 7*q**3/12 - q**2/2 - 13*q. Let p(u) = 0. What is u?
1/2, 1, 2
Let y = -69 - -69. Let b(h) be the second derivative of y - 4/3*h**3 - 1/6*h**4 - 4*h**2 - h. Suppose b(q) = 0. Calculate q.
-2
Let m = -178 - -339. Let f = m + -641/4. Suppose -1/2 - 1/4*x**2 - f*x = 0. What is x?
-2, -1
Let a(l) = -l**4 + l**3 - l**2 - l. Let s(i) = 2*i**4 + 43*i**3 + 87*i**2 + 77*i + 25. Let y(w) = 3*a(w) - s(w). Factor y(u).
-5*(u + 1)**3*(u + 5)
Let z(k) = 2*k**2 - 12*k - 36. Let m(w) = -3*w**2 + 25*w + 71. Let s(t) = 4*m(t) + 7*z(t). Factor s(p).
2*(p + 4)**2
Let n be 28/(-40)*-5 + (-2)/4. Solve 0*s**2 + 3/2*s**4 - 3/2 + 3*s - n*s**3 = 0 for s.
-1, 1
Let i(q) be the first derivative of -2*q**5/85 + 3*q**4/34 - 4*q**3/51 + 18. Factor i(x).
-2*x**2*(x - 2)*(x - 1)/17
Let l(o) = 2*o**2 - o - 1. Let p be l(-1). Suppose s - p*s = -3. Let 4/5*y**4 + 9/5*y**s + 1/5*y + 0 + 6/5*y**2 = 0. What is y?
-1, -1/4, 0
Suppose 0 = 2*f + 2*s + 3*s - 1, -5*f - s + 14 = 0. What is r in 4*r**f + 3*r**4 - 4*r**3 + 6*r**3 + 0*r**4 = 0?
-2, 0
Let j be (-10 - 0)/(13/(91/(-14))). Find v, g | {
"pile_set_name": "DM Mathematics"
} |
1 - 2460*c**2 + 11832*c/11 + 4624/11 = 0. Calculate c.
-34, -1/4, 2/3
Suppose 2*i**4/15 - 6*i**3/5 - 46*i**2/15 + 6*i/5 + 44/15 = 0. What is i?
-2, -1, 1, 11
Solve 4*c**3 + 40*c**2 - 156*c = 0.
-13, 0, 3
Factor -l**3 - 26*l**2/7 - 20*l/7 + 8/7.
-(l + 2)**2*(7*l - 2)/7
Find n, given that -3*n**2 + 171*n + 174 = 0.
-1, 58
Factor -3*i**3/2 - 2466*i**2 - 1013526*i.
-3*i*(i + 822)**2/2
Find w such that 6*w**5/7 - 30*w**4/7 + 6*w**3 + 6*w**2/7 - 48*w/7 + 24/7 = 0.
-1, 1, 2
Factor 5929*h**4/5 + 1232*h**3/5 - 552*h**2/5 - 64*h/5 + 16/5.
(7*h + 2)**2*(11*h - 2)**2/5
Factor -5202*d**3/11 + 98430*d**2/11 + 704*d + 152/11.
-2*(d - 19)*(51*d + 2)**2/11
Determine c so that 7*c**5/6 + 149*c**4/6 + 133*c**3 + 598*c**2/3 + 140*c/3 = 0.
-14, -5, -2, -2/7, 0
Determine s so that 4*s**4 + 40*s**3 + 140*s**2 + 200*s + 96 = 0.
-4, -3, -2, -1
Solve -4*l**2 + 152*l - 868 = 0 for l.
7, 31
Determine a so that 5*a**3 + 8250*a**2 + 4537500*a + 831875000 = 0.
-550
Factor 148*g**3 + 136*g**2 - 12*g.
4*g*(g + 1)*(37*g - 3)
Factor p**2 - 70*p + 136.
(p - 68)*(p - 2)
Solve 2*z**4 + 50*z**3/3 - 70*z**2/9 - 50*z/3 + 52/9 = 0.
-26/3, -1, 1/3, 1
What is d in -2*d**5/11 + 8*d**4/11 + 70*d**3/11 - 300*d**2/11 = 0?
-6, 0, 5
Suppose -z**3/5 - 88*z**2/5 - 2021*z/5 - 3698/5 = 0. Calculate z.
-43, -2
Suppose u**5 - 9*u**4 - 33*u**3 - 35*u**2 - 12*u = 0. Calculate u.
-1, 0, 12
Determine w so that w**5 - 18*w**4 + 74*w**3 - 124*w**2 + 93*w - 26 = 0.
1, 2, 13
Factor -2*m**2/3 + 604*m/3 - 45602/3.
-2*(m - 151)**2/3
Suppose -4*b**4 + 18*b**3 + 135*b**2/4 - 275*b/2 + 375/4 = 0. Calculate b.
-3, 5/4, 5
Solve k**2/2 + 12*k - 25/2 = 0 for k.
-25, 1
Let 30*d**3 - 81*d**2 + 24*d + 36 = 0. Calculate d.
-1/2, 6/5, 2
Suppose -5*c**3 + 20*c**2 - 20*c = 0. Calculate c.
0, 2
Solve -3*i**4 - 42*i**3 - 99*i**2 + 336*i - 192 = 0 for i.
-8, 1
Factor q**2/4 + 813*q/4.
q*(q + 813)/4
Solve r**3 - 19*r**2 + 55*r + 75 = 0.
-1, 5, 15
Factor 3*n**4/5 - 36*n**3.
3*n**3*(n - 60)/5
Solve -4*i**2 - 320*i - 6400 = 0 for i.
-40
Determine l, given that -2*l**4 - 748*l**3 - 69938*l**2 = 0.
-187, 0
Factor i**3/3 - i**2 - 3*i - 5/3.
(i - 5)*(i + 1)**2/3
Factor h**3 + 119*h**2 + 687*h + 1017.
(h + 3)**2*(h + 113)
Determine z, given that 242*z**3/13 + 88*z**2/13 + 8*z/13 = 0.
-2/11, 0
Factor -3*r**2/2 + 9*r/2 + 405.
-3*(r - 18)*(r + 15)/2
Find k such that 3*k**3 - 126*k**2 - 705*k = 0.
-5, 0, 47
Let -3*l**4 - 129*l**3 - 861*l**2 - 735*l = 0. Calculate l.
-35, -7, -1, 0
Determine n, given that 7*n**3/3 + 1027*n**2/3 + 37000*n/3 - 16428 = 0.
-74, 9/7
Factor 2*f**4/9 - 20*f**3/9 - 6*f**2 + 8*f.
2*f*(f - 12)*(f - 1)*(f + 3)/9
Suppose 4394*y**4 - 124046*y**3 + 887328*y**2 + 2115072*y - 29859840 = 0. Calculate y.
-5, 144/13
Determine c, given that 4*c**4 - 96*c**3 + 576*c**2 = 0.
0, 12
Factor -y**5 + 6*y**4 - 14*y**3 + 16*y**2 - 9*y + 2.
-(y - 2)*(y - 1)**4
Factor 4*w**3 + 848*w**2 - 3444*w + 2592.
4*(w - 3)*(w - 1)*(w + 216)
Determine r, given that -2*r**4/3 - 8*r**3/3 + 28*r**2 - 24*r - 54 = 0.
-9, -1, 3
Find i such that -i**4 - 30*i**3 + 99*i**2 - 4*i - 132 = 0.
-33, -1, 2
Let -2*z**2/7 + 4668*z/7 - 2723778/7 = 0. Calculate z.
1167
Find h such that -2*h**2/17 - 50*h/17 + 52/17 = 0.
-26, 1
Determine h so that 3*h**4/5 + 4*h**3 - 7*h**2/5 = 0.
-7, 0, 1/3
Let 8*f**2/3 - 188*f/3 - 32 = 0. Calculate f.
-1/2, 24
Factor j**4/4 + j**3/4 - 25*j**2/4 - 25*j/4.
j*(j - 5)*(j + 1)*(j + 5)/4
Solve -2*g**4/7 - 6*g**3/7 + 6*g**2/7 + 22*g/7 + 12/7 = 0 for g.
-3, -1, 2
Solve -2*t**2 - 4*t = 0 for t.
-2, 0
Let 4107*b**4/4 - 28305*b**3/4 + 11547*b**2 + 1311*b + 36 = 0. Calculate b.
-2/37, 3, 4
Suppose -2*m**5 - 36*m**4 + 44*m**3 + 104*m**2 - 186*m + 76 = 0. What is m?
-19, -2, 1
Factor -5*q**4/2 + 105*q**2/2 + 50*q.
-5*q*(q - 5)*(q + 1)*(q + 4)/2
Suppose 5*n**5 + 1310*n**4 - 9325*n**3 + 24110*n**2 - 26860*n + 10760 = 0. Calculate n.
-269, 1, 2
Factor -r**2/6 + 50*r/3.
-r*(r - 100)/6
Factor -j**4 + 7212*j**3 - 17337648*j**2 + 13893235264*j.
-j*(j - 2404)**3
Solve -15*m**3 + 230*m**2 - 285*m + 70 = 0.
1/3, 1, 14
Factor 4*a**3 + 344*a**2 + 7396*a.
4*a*(a + 43)**2
Suppose -16*h**4 + 60*h**3 - 100*h - 24 = 0. Calculate h.
-1, -1/4, 2, 3
Factor 4*z**3 - 24*z**2 + 12*z + 40.
4*(z - 5)*(z - 2)*(z + 1)
Factor v**3/4 - 119*v**2/4 + 870*v + 900.
(v - 60)**2*(v + 1)/4
Let 13*d**3/5 + 3*d**2 + 2*d/5 = 0. What is d?
-1, -2/13, 0
Solve 2*h**4/15 + 136*h**3/5 - 2*h**2/15 - 136*h/5 = 0.
-204, -1, 0, 1
Suppose 4*g**5 + 24*g**4 + 20*g**3 - 96*g**2 - 144*g = 0. Calculate g.
-3, -2, 0, 2
Find i, given that -i**5/3 + 106*i**4/3 + 436*i**3/3 + 440*i**2/3 = 0.
-2, 0, 110
Factor -g**2/4 + 215*g/2 - 46225/4.
-(g - 215)**2/4
Factor -t**2/5 + 28*t/5.
-t*(t - 28)/5
Solve 9*v**4/5 - 66*v**3/5 - 3*v**2/5 + 156*v/5 + 84/5 = 0.
-1, -2/3, 2, 7
Find n, given that -8*n**5/3 - 8*n**4 - 10*n**3/3 + 20*n**2/3 + 6*n + 4/3 = 0.
-2, -1, -1/2, 1
Factor -2*f**3/5 - 282*f**2/5 - 1008*f - 4840.
-2*(f + 10)**2*(f + 121)/5
Suppose 2*d**5/15 - 4*d**4/3 + 6*d**3/5 = 0. Calculate d.
0, 1, 9
Factor -o**5/6 - 5*o**4/3 - 3*o**3/2.
-o**3*(o + 1)*(o + 9)/6
Factor q**3 + 127*q**2 - 257*q + 129.
(q - 1)**2*(q + 129)
Factor -20*i**4 + 36*i**3 - 12*i**2 - 4*i.
-4*i*(i - 1)**2*(5*i + 1)
Factor x**3/6 + 77*x**2/3 + 1136*x/3 + 1472.
(x + 8)**2*(x + 138)/6
Let 5*y**3 + 4745*y**2 + 1128120*y + 1123380 = 0. Calculate y.
-474, -1
Factor -5*t**3 + 60*t**2 - 135*t.
-5*t*(t - 9)*(t - 3)
Factor -n**2/6 - 401*n/3 - 160801/6.
-(n + 401)**2/6
Factor o**3/2 - 2*o**2 - 7*o/2 + 5.
(o - 5)*(o - 1)*(o + 2)/2
What is h in -h**2/3 + 18*h - 53/3 = 0?
1, 53
Suppose 2*i**3/11 - 1930*i**2/11 + 3852*i/11 = 0. Calculate i.
0, 2, 963
Determine v so that 27*v**3/2 + 1272*v**2 + 282*v = 0.
-94, -2/9, 0
Determine n, given that -10*n**3/3 + 1082*n**2 + 11140*n/3 + 1312 = 0.
-3, -2/5, 328
Find o, given that 4*o**2 + 704*o + 30976 = 0.
-88
Factor 3*a**2 - 66*a - 144.
3*(a - 24)*(a + 2)
What is a in -a**2 + 172*a - 340 = 0?
2, 170
Suppose -9*x**3/4 + 23*x**2/4 + x - 7 = 0. Calculate x.
-1, 14/9, 2
Find u, given that -2*u**3/11 - 6*u**2 - 432*u/11 + 1944/11 = 0.
-18, 3
Suppose 60*l**5 + 425*l**4 - 450*l**3 - 75*l**2 + 40*l = 0. Calculate l.
-8, -1/3, 0, 1/4, 1
Factor 2*k**3/5 - 44*k**2/5 + 38*k/5 + 84/5.
2*(k - 21)*(k - 2)*(k + 1)/5
Factor v**4/4 + 3*v**3 + 11*v**2/4.
v**2*(v + 1)*(v + 11)/4
Factor 2*x**2/5 - 48*x/5 + 238/5.
2*(x - 17)*(x - 7)/5
Find f, given that f**5 + 3*f**4 - 5*f**3 - 27*f**2 - 32*f - 12 = 0.
-2, -1, 3
Factor -4*j**3 + 116*j**2 - 780*j - 900.
-4*(j - 15)**2*(j + 1)
Factor 2*r**4/3 - 14*r**3/3 - 2*r**2 + 38*r/3 + 28/3.
2*(r - 7)*(r - 2)*(r + 1)**2/3
Solve 3*s**4 + 48*s**3 + 231*s**2 + 294*s = 0 for s.
-7, -2, 0
Determine k, given that -k**5 + 93*k**4 - 1910*k**3 - 12098*k**2 + 1911*k + 12005 = 0.
-5, -1, 1, 49
Determine d so that 3*d**5 - 4*d**4 - 4*d**3 + 6*d**2 + d - 2 = 0.
-1, -2/3, 1
Determine o, given that o**4/3 - 24*o**3 + 203*o**2/3 + 96*o - 276 = 0.
-2, 2, 3, 69
Find h such that 2*h**3 - 392*h**2 + 17544*h + 166464 = 0.
-8, 102
Solve v**3/5 - 4*v**2 - 43*v/5 - 22/5 = 0 for v.
-1, 22
Factor -2*c**3/5 - 2*c**2 + 56*c/5 + 64/5.
-2*(c - 4)*(c + 1)*(c + 8)/5
Factor 10*p**2 + 114*p - 72.
2*(p + 12)*(5*p - 3)
Factor -3*v**4/4 + 231*v**3/4 + 117*v**2/2.
-3*v**2*(v - 78)*(v + 1)/4
Factor -2*j**4 + 2*j**3 + 2*j**2 - 2*j.
-2*j*(j - 1)**2*(j + 1)
What is y in 3*y**4 - 14*y**3 + 8*y**2 = 0?
0, 2/3, 4
What is w in 2*w**3/13 + 328*w**2/13 - 664*w/13 = 0?
-166, 0, 2
Factor 3*b**4/4 + 715*b**3/4 + 119*b**2/2.
b**2*(b + 238)*(3*b + 1)/4
Factor y**3/2 + 12*y**2 - 51*y/2 - 1445.
(y - 10)*(y + 17)**2/2
Factor 2*z**4/17 + 20*z**3/17 - 14*z**2/17 - 392*z/17.
2*z*(z - 4)*(z + 7)**2/17
Find w, given that -8*w**4/5 + 66*w**3/5 + 336*w**2/5 + 296*w/5 - 96/5 = 0.
-2, 1/4, 12
Find l, given that -5*l**3 - 4530*l**2 - 1368060*l - 137718040 = 0.
-302
Factor w**3 - 43*w**2 + 496*w - 1728.
(w - 27)*(w - 8)**2
What is t in t**5 + 3*t**4 + t**3 - 3*t**2 - 2*t = 0?
-2, -1, 0, 1
Determine g, given that -4*g**3 + 156*g**2 + 160*g = 0.
-1, 0, 40
Factor -h**5/4 + 17*h**4/2 - 16*h**3 - h**2/2 + 65*h/4 - 8.
-(h - 32)*(h - 1)**3*(h + 1)/4
Factor -5*d**2 + 260*d + 5865.
-5*(d - 69)*(d + 17)
Let 6*u**4/11 + 28*u**3/11 - 98*u**2/11 + 8*u/11 + 56/11 = 0. Calculate u.
-7, -2/3, 1, 2
Factor 2*o**5 - 170*o**4 + 4700*o**3 - 38860*o**2 - 92510*o - 48778.
2*(o - | {
"pile_set_name": "DM Mathematics"
} |
irst derivative of -3*z**4/2 - 4*z**3/3 + z**2 - 4*z - 149. Let q(v) = 19*v**3 + 11*v**2 - 5*v + 14. Let p(a) = -2*q(a) - 7*s(a). Factor p(k).
2*k*(k + 2)*(2*k - 1)
Determine z so that -950/7*z + 472/7*z**2 + 2/7*z**3 + 68 = 0.
-238, 1
Find w such that 3/4*w - 45/2 + 3/4*w**2 = 0.
-6, 5
Let m(p) be the third derivative of -p**5/15 + 23*p**4/6 - 88*p**3 - 1826*p**2. Factor m(w).
-4*(w - 12)*(w - 11)
Let x(j) be the first derivative of j**3/3 - j**2 + 2*j + 30. Let y be x(0). Factor -s**2 - 122*s**4 + 59*s**4 - y*s**3 + 62*s**4.
-s**2*(s + 1)**2
Let l(m) = -60*m - 837. Suppose 2*b = s + 10, 0 = 2*s + 13*b - 12*b + 30. Let n be l(s). Factor -20/7*p + 4/7 + 40/7*p**2 - 4/7*p**5 - 40/7*p**n + 20/7*p**4.
-4*(p - 1)**5/7
Determine x so that 0 + 1/7*x**2 - 376/7*x = 0.
0, 376
Let b(z) be the first derivative of 2025*z**2 + 0*z - 60*z**3 + 1/2*z**4 - 5. Factor b(q).
2*q*(q - 45)**2
Factor 0 + 1/4*m**2 - 180*m.
m*(m - 720)/4
Suppose 3 = -c + f + 2*f, -4*f - 61 = 3*c. Let q = 17 - c. Let -3 + q + 5*d**2 + 20*d - 14 = 0. Calculate d.
-3, -1
Let r be 22/(-38) + (190/10)/38. Let l = 13/76 - r. Let -1/2 - l*k + 1/2*k**2 + 1/4*k**3 = 0. Calculate k.
-2, -1, 1
Factor 3*l**3 + l**2 - 284*l**4 + 281*l**4 + 5*l**2.
-3*l**2*(l - 2)*(l + 1)
Suppose -3*m + 51 = 0, 1060 - 1130 = -g - 4*m. Determine u so that 2/7*u**g - 22/7*u + 0 = 0.
0, 11
Let m(f) be the first derivative of f**6/480 - f**5/240 - f**4/16 + 3*f**2 - 2. Let u(l) be the second derivative of m(l). Suppose u(p) = 0. Calculate p.
-2, 0, 3
Find m, given that -63/4*m**5 + 3*m + 51/4*m**3 + 15*m**2 + 0 - 15*m**4 = 0.
-1, -2/3, -2/7, 0, 1
Let v(j) be the first derivative of -3/40*j**5 - 22 + 3*j**4 - 48*j**3 + 384*j**2 + 2*j. Let l(b) be the first derivative of v(b). Factor l(o).
-3*(o - 8)**3/2
Let t(d) be the second derivative of 55*d**5/4 + 5*d**4/4 - 100*d**3/3 + 30*d**2 + 205*d - 6. Factor t(h).
5*(h + 1)*(5*h - 2)*(11*h - 6)
Let j = 514665 + -3602654/7. Let 48/7 - j*n**2 + 22/7*n = 0. What is n?
-2, 24
Let x = -8 - -12. Let n(d) = -d - 22. Let t be n(-24). Determine h so that 4/11*h**3 + 2/11 + 2/11*h**x - 4/11*h**t - 2/11*h**5 - 2/11*h = 0.
-1, 1
Let a(p) = -8*p**2 - 372*p - 17304. Let z(l) = -42*l**2 - 1860*l - 86522. Suppose 14*n - 30*n = -256. Let i(q) = n*a(q) - 3*z(q). Suppose i(t) = 0. Calculate t.
-93
Let c(p) be the first derivative of 5/4*p**4 + 2/3*p**5 - 10/3*p**2 + 34 + 0*p - 5/18*p**6 - 20/9*p**3. Determine o so that c(o) = 0.
-1, 0, 2
Let v(t) = 35*t**3 + 5815*t**2 - 191300*t + 1452650. Let b(d) = 3*d**3 + 529*d**2 - 17391*d + 132059. Let a(q) = 45*b(q) - 4*v(q). Factor a(n).
-5*(n - 49)**2*(n - 11)
Let r(d) be the first derivative of -625*d**6/12 - 7325*d**5/2 - 7200*d**4 - 17180*d**3/3 - 2284*d**2 - 456*d + 564. Solve r(w) = 0 for w.
-57, -2/5
Let u(m) = 337*m + 3035. Let b be u(-9). Let p = -1/8 - -29/8. Suppose -4 - 9*j - p*j**b = 0. What is j?
-2, -4/7
Let d(z) be the second derivative of -z**5/4 + 415*z**4/6 - 17630*z**3/3 + 33620*z**2 + 112*z. Factor d(q).
-5*(q - 82)**2*(q - 2)
Let a(p) = p**3 - 5*p**2 + 7*p - 11. Let r be a(4). Factor r + 1 - 1065*g**3 + 1037*g**3 + 8*g**2 + 20*g**4 - 2.
4*g**2*(g - 1)*(5*g - 2)
Let x(i) be the third derivative of -i**5/12 - 115*i**4/12 + 425*i**3/2 - 2467*i**2. Solve x(z) = 0 for z.
-51, 5
Let g(x) = -5*x**5 - 7*x**4 + 82*x**3 - 72*x**2 - 42*x - 12. Let w(h) = -2*h**3 + 2*h**2 + h + 6. Let r(b) = g(b) + 2*w(b). Determine a so that r(a) = 0.
-5, -2/5, 0, 2
Let a = 675 - 740. Let q be (a/20 + 4)*1. What is u in -3/8*u - q - 15/8*u**3 + 3*u**2 = 0?
-2/5, 1
Let p(c) be the first derivative of c**6/12 - c**5/5 - 13*c**4/8 - 5*c**3/3 - 4404. Factor p(t).
t**2*(t - 5)*(t + 1)*(t + 2)/2
Determine y, given that -2/9*y**2 - 256/9 + 86/3*y = 0.
1, 128
Let o(q) be the third derivative of 29/8*q**4 + 14*q**3 + 0 + 2*q + 128*q**2 + 1/20*q**5. Factor o(h).
3*(h + 1)*(h + 28)
Let v(q) = 3*q**3 + 29*q**2 + 29*q + 11. Let d be v(-8). Let b be (10/16)/(-5 - d/(-18)). Find o such that 15/2*o**2 + b*o**4 - o - 2 - 23/4*o**3 = 0.
-2/5, 1, 2
Let j(x) be the first derivative of x**3/12 + 365*x**2/4 + 2064. Find u, given that j(u) = 0.
-730, 0
Let k(r) be the first derivative of -4/15*r**2 + 0*r**3 + 1/30*r**4 - 170 + 0*r. Factor k(a).
2*a*(a - 2)*(a + 2)/15
Let f be (14/49 - 16/56)/(-3). Let k(y) = 59*y - 2. Let m be k(2). Determine x so that -720 - 5*x**2 + f*x - 4*x - m*x = 0.
-12
Suppose -1017 = 13*p - 561 - 508. Let -8/17 + 22/17*z**2 + 40/17*z**3 + 4/17*z**5 + 22/17*z**p - 8/17*z = 0. What is z?
-2, -1, 1/2
Factor -23*z**3 - 37*z**3 + 1797 - 1094 - 510*z - 265*z**2 - 1063 - 10*z**4 + 5*z**4.
-5*(z + 2)*(z + 3)**2*(z + 4)
Let h(p) = -2*p + 11. Let c(y) = -4*y**2 + 77*y - 77. Let q(b) = 2*c(b) + 14*h(b). Factor q(v).
-2*v*(4*v - 63)
Let w(b) be the third derivative of -1/1512*b**8 + 1/270*b**6 - 1/135*b**5 + 1/27*b**3 - 97*b**2 + 0 + 0*b - 1/108*b**4 + 1/945*b**7. Factor w(l).
-2*(l - 1)**3*(l + 1)**2/9
Let k(b) be the second derivative of 1/5*b**5 + 29/6*b**3 + 5*b**2 - 43/12*b**4 + 0 - b. What is y in k(y) = 0?
-1/4, 1, 10
Factor 3133*h**3 + 3005*h**2 + 0*h**4 - 8220*h + 459*h**2 - 3485*h**3 + 2332*h + 4*h**4 + 2772.
4*(h - 77)*(h - 9)*(h - 1)**2
Let p(k) = -51*k**3 + 231*k**2 + 541*k + 1661 - 22*k - 1703. Let c(f) = 5*f**3 - 23*f**2 - 52*f + 4. Let d(l) = -21*c(l) - 2*p(l). Factor d(i).
-3*i*(i - 9)*(i + 2)
Let c = -25324 - -25326. Determine h so that -63*h - 3/7*h**3 + 9*h**c + 147 = 0.
7
Let u be 276/(-207)*(175/(-20) + 5). Solve 1/2*a**3 + 0*a**2 + 0*a + 1/2*a**u + a**4 + 0 = 0 for a.
-1, 0
Let s be (3 - (-230)/(-72)) + (-6)/27. Let z = 11/20 + s. Factor 4/15*q - z*q**2 + 0.
-2*q*(q - 2)/15
Let v = -8971/4 + 2243. Factor -16 - v*h**2 + 4*h.
-(h - 8)**2/4
Let i(d) be the first derivative of d**7/105 - 4*d**6/75 - 116*d + 56. Let l(s) be the first derivative of i(s). Let l(z) = 0. What is z?
0, 4
Suppose 3170 + 1081 = 39*v. Let o = v + -109. Solve o - 6/17*s**2 + 4/17*s + 2/17*s**3 = 0 for s.
0, 1, 2
Let d = -1483 - -2575. Find j, given that 7047*j**2 + d + 807 - 7039*j**2 + 232*j - 217 = 0.
-29/2
Let n(i) be the first derivative of -i**6/840 - 11*i**5/28 - 3025*i**4/56 - 14*i**3/3 - i**2 + 69. Let z(b) be the third derivative of n(b). Factor z(c).
-3*(c + 55)**2/7
Let k(h) = -2*h**2 - 45*h - 60. Let a be k(-21). Let v(p) be the first derivative of -1/15*p**a - 7 + 0*p + 0*p**2. Factor v(f).
-f**2/5
Let k(h) be the second derivative of -5*h**4/24 + 125*h**3/36 + 15*h**2/2 - 2611*h - 1. Factor k(f).
-5*(f - 9)*(3*f + 2)/6
Let g(i) be the first derivative of 2*i**5/15 + 7*i**4 - 2*i**3/3 - 128*i**2/3 - 56*i + 852. Solve g(z) = 0 for z.
-42, -1, 2
Let g = -1151919/140 + 8228. Let s(q) be the third derivative of 0 + 0*q - 1/96*q**4 - 13/480*q**6 + 0*q**3 + g*q**7 - 18*q**2 + 1/30*q**5. Factor s(j).
j*(j - 1)**2*(6*j - 1)/4
Let k = 67400 + -202196/3. Factor 8 + k*u**2 + 20/3*u.
4*(u + 2)*(u + 3)/3
Let h = -393836 - -393840. Factor -8/5*u + 6/5*u**2 + 4/5*u**3 - 8/5 - 2/5*u**h.
-2*(u - 2)**2*(u + 1)**2/5
Suppose 57*o = 8*o + o. Suppose o = -3*v - 2*z + 2, -2*v = -v + z. Factor 2*r**3 + 0 - 18/7*r**v + 4/7*r.
2*r*(r - 1)*(7*r - 2)/7
Factor -28*f - 41*f**3 + 24*f**3 - 24 + f**2 + 15*f**2 + 21*f**3 - 16.
4*(f - 2)*(f + 1)*(f + 5)
Let g(z) be the second derivative of -z**6/165 - 149*z**5/110 + z - 400. Factor g(i).
-2*i**3*(i + 149)/11
Factor -136/5 + 1/5*r**3 + 206/5*r - 71/5*r**2.
(r - 68)*(r - 2)*(r - 1)/5
Let s = -47 + 29. Let f be s/(-21)*(2 + 5/(-10)). Let -3/7*t**5 + 0 + f*t**3 + 0*t + 6/7*t**2 + 0*t**4 = 0. What is t?
-1, 0, 2
Let j(g) be the first derivative of 2*g**3/21 + 39*g**2/7 - 1620*g/7 + 7150. Factor j(m).
2*(m - 15)*(m + 54)/7
Solve 2119*l + 0*l**4 - 720 + 38166*l**2 + 205*l**3 - 5*l**4 - 39106*l**2 - 659*l = 0 for l.
1, 2, 36
Let u(y) be the second derivative of y**6/40 - 69*y**5/160 - 3*y**4/8 - 2*y + 493. Factor u(x).
3*x**2*(x - 12)*(2*x + 1)/8
Let r(v) be the third derivative of 0*v - 7/1080*v**6 + 0 - 38*v**2 - 11/540*v**5 + 0*v**3 - 5/216*v**4 - 1/1890*v**7. Factor r(c).
-c*(c + 1)**2*(c + 5)/9
Let p(o) be the third derivative of 13/16*o**4 + 0*o - 1/672*o**8 - 7/15*o**5 + 17/120*o**6 - 1/70*o**7 - 254*o**2 + 0 - 5/6*o**3. Find n such that p(n) = 0.
-10, 1
Let l(z) = -z**3 - 7*z**2 - z + 35. Let f be l(-6). Suppose 2*s = -4*u + 6, 3*s - 34 = | {
"pile_set_name": "DM Mathematics"
} |
).
-17700*j**4
Let l(x) = 2*x**2. Let p(h) = -h + 32656193. Determine p(l(r)).
-2*r**2 + 32656193
Let b(k) = -71*k + 3198. Let g(x) = -31*x. Give g(b(f)).
2201*f - 99138
Let g(z) = z**2. Let k(m) = -m + 13. Let h be k(5). Let x(d) be the second derivative of 2*d**3 + 6*d - h*d + 12*d + 7*d. Calculate g(x(n)).
144*n**2
Let n = 108 - 106. Let m(a) = 14*a + 3 - n + 31*a. Let y(l) = 2*l. Calculate y(m(c)).
90*c + 2
Let v(q) be the third derivative of -3*q**4/8 - 19*q**3/3 + q**2 - 2*q + 823. Let w(l) = 2*l. Calculate w(v(t)).
-18*t - 76
Let w(a) = -192*a + 265*a - 39*a - 36*a. Let s(z) = -635*z. Determine w(s(c)).
1270*c
Let z(v) = -54348*v**2. Let p(n) = 5936*n. Give p(z(w)).
-322609728*w**2
Let o(a) = 2*a. Let p(g) = 83*g + 917. Give o(p(b)).
166*b + 1834
Let u(f) be the second derivative of 7*f**3/3 - 26*f - 15. Let m(g) be the third derivative of g**4/8 - 5*g**2. What is m(u(x))?
42*x
Let c(x) be the third derivative of 2/15*x**5 + 17*x + 0 + 0*x**3 + 0*x**4 + x**2. Let o(r) = 6*r. What is c(o(j))?
288*j**2
Let f(a) = -3988*a**2. Let t(g) = 2627*g. Give t(f(q)).
-10476476*q**2
Let c(q) = 2*q**2. Let y(b) = -878 - 883 + 684*b**2 + 752*b**2 + 1761. What is y(c(v))?
5744*v**4
Let m(y) be the second derivative of -23/12*y**4 + 0 + 0*y**2 - 4*y + 0*y**3. Let z(v) = -v**2 + 1176*v - 1176*v. Give z(m(a)).
-529*a**4
Let l(g) = -2*g**2. Let r(i) = -22*i + 358946. Give r(l(m)).
44*m**2 + 358946
Let z(m) = 7468*m. Let s(r) = -18257*r + 9133*r + 9125*r. Give z(s(y)).
7468*y
Let f be 8/((-4)/(-2)) + 2. Let r(l) = -6*l + f*l + 8*l. Let a(d) be the second derivative of d**3/6 - 1285*d. Give a(r(b)).
8*b
Let y(u) = 14785*u**2. Let x(k) = -40*k. Give x(y(l)).
-591400*l**2
Let s(o) = 67644*o - 33821*o - 33825*o. Let k(q) = 13809*q**2. What is s(k(r))?
-27618*r**2
Let u(v) = -512*v + 1536. Let f be u(3). Let o(k) be the third derivative of 1/60*k**5 + f + 0*k**3 + 0*k + 8*k**2 + 0*k**4. Let a(j) = 10*j. Give a(o(m)).
10*m**2
Let j(y) = -2602*y. Let m(h) = 2526*h**2. Give j(m(n)).
-6572652*n**2
Let s(a) = -713*a. Let h(m) = -5 + 5 - 20257*m + 20259*m. Calculate h(s(d)).
-1426*d
Let c(w) be the second derivative of -5*w**3/6 - 15*w**2/2 + 21*w + 90. Let n(g) = -13*g**2. Determine n(c(k)).
-325*k**2 - 1950*k - 2925
Let p(j) = 151103*j**2. Let g(n) = -42*n. Calculate p(g(z)).
266545692*z**2
Let o(a) = 1. Let l(x) = x + 9. Let r(g) = -4*l(g) + 36*o(g). Let v(m) = -2*m + 33. Let i be v(15). Let f(b) = -b + 11*b - i*b. Give f(r(d)).
-28*d
Let a(s) = -19*s. Let p(v) be the first derivative of 2*v**3/3 + 32*v - 1123. Give a(p(x)).
-38*x**2 - 608
Let i(p) = 54*p**2 - p. Let r(z) = -252237*z. Calculate i(r(g)).
3435669225126*g**2 + 252237*g
Let r(q) be the first derivative of 3*q**2 + q - 6. Let i(y) = -95*y**2 + 9*y + 9. Let b(u) = -21*u**2 + 2*u + 2. Let z(p) = 9*b(p) - 2*i(p). Calculate z(r(h)).
36*h**2 + 12*h + 1
Let a(b) = -57770*b. Let i(x) = -25*x**2. What is i(a(v))?
-83434322500*v**2
Let c(v) = -208*v**2 + 45. Let q(g) = -8632*g**2 + 1872. Let m(k) = 208*c(k) - 5*q(k). Let f(n) = -4*n - 1. Calculate m(f(p)).
-1664*p**2 - 832*p - 104
Let i(a) be the first derivative of a**2 - 11*a + 88. Let z(o) be the first derivative of -o**3/3 - 8. Calculate z(i(n)).
-4*n**2 + 44*n - 121
Let j(u) = -3*u**2 - 50940*u. Let f(l) = 352*l. Determine f(j(t)).
-1056*t**2 - 17930880*t
Let r(f) = 3*f. Suppose -15 = -2*m + s, -m + 0*m = 3*s - 11. Let c(b) = b**2 - 9*b + 10. Let x be c(m). Let n(j) = j**x - 5*j**2 + 7*j**2. Calculate n(r(l)).
27*l**2
Let d(h) = 3*h. Let f be 11/2 - 16/32. Let c(v) = -f*v**2 - v**2 - 148*v + 148*v. What is c(d(r))?
-54*r**2
Let x(f) = 10*f**2 - 2. Let v(j) = -5322570*j. Calculate v(x(u)).
-53225700*u**2 + 10645140
Let d(p) = 3*p + 49. Let l(q) = 708*q + 24 - 24 - 373*q - 366*q. Give l(d(g)).
-93*g - 1519
Let u(z) = 8*z**2. Let h(g) be the second derivative of 0*g**2 - 15 - 7/2*g**3 + 4*g. What is h(u(b))?
-168*b**2
Let n(f) = -64*f**2 + 1. Let s(p) be the first derivative of 2*p**3/3 + 2238. Calculate s(n(m)).
8192*m**4 - 256*m**2 + 2
Let p(t) be the third derivative of -t**5/12 - 19*t**2 + 8. Let d(w) be the third derivative of 0 + 10*w**2 + 0*w**3 + 0*w + 0*w**4 - 1/60*w**5. Give d(p(x)).
-25*x**4
Let a(h) = 26*h**2 - 17*h. Suppose -3 + 21 = 3*n. Let x(o) = -9*o**2 + 6*o. Let c(z) = n*a(z) + 17*x(z). Let i(f) = -f**2. Calculate i(c(w)).
-9*w**4
Let u(s) be the third derivative of -s**4/24 - 3431*s**3/6 - s**2 - 6108*s. Let m(j) = j**2. Give u(m(g)).
-g**2 - 3431
Let v(k) = 324*k. Let o(x) = 21*x**2 + 1172. Give o(v(q)).
2204496*q**2 + 1172
Let l(p) = -2768*p**2 + 24158*p. Let o(z) = 5*z**2. Calculate l(o(c)).
-69200*c**4 + 120790*c**2
Let b be ((-1)/2)/((-2)/68). Let c(m) = -b*m + 8*m + 6*m. Let x(o) = -171*o**2 + 11. Let g(d) = 94*d**2 - 6. Let l(t) = -11*g(t) - 6*x(t). Calculate c(l(u)).
24*u**2
Let q(c) = -c**2. Let d(b) = 242199949*b. Calculate q(d(k)).
-58660815295602601*k**2
Let w(c) = 2*c**2. Let n(q) = 2669*q**2 - 40*q - 8. Let m(b) = 1780*b**2 - 25*b - 5. Let d(t) = 8*m(t) - 5*n(t). Give w(d(u)).
1602050*u**4
Let p(r) be the third derivative of r**5/40 - 221*r**3/6 - 156*r**2. Let j(l) be the first derivative of p(l). Let i(a) = a**2 + 2*a. What is j(i(q))?
3*q**2 + 6*q
Let q(z) = 2*z. Let f(i) = 110*i - 22. Suppose 24 = -8*t + 14*t. Let x(u) = -55*u + 10. Let j(r) = t*f(r) + 9*x(r). Determine j(q(k)).
-110*k + 2
Let x(u) be the first derivative of 46*u**3/3 + 2558. Let o(b) = 10*b**2 + 5. Determine o(x(v)).
21160*v**4 + 5
Let w(h) be the second derivative of 245*h**4/12 - h**2/2 - 2167*h. Let a(u) = -5*u. Calculate w(a(d)).
6125*d**2 - 1
Let n(v) = -24*v - 18. Let j(z) = 11*z + 8. Let l(h) = 9*j(h) + 4*n(h). Let r(f) be the first derivative of -f**2 - 3*f + 25. What is l(r(x))?
-6*x - 9
Let m(x) = -10*x**2 - 1039398. Let a(d) = -4*d**2. Determine m(a(b)).
-160*b**4 - 1039398
Let h(l) = -3*l**2 + l. Let i(g) be the third derivative of -5*g**4/8 + g**3/6 - 36*g**2 - 19*g. Calculate h(i(z)).
-675*z**2 + 75*z - 2
Let i(r) = 303360*r. Let w(x) = -20*x + 1. Give w(i(h)).
-6067200*h + 1
Let s(f) = -33*f**2. Let g(d) = -331084*d. Determine s(g(o)).
-3617348296848*o**2
Let l(r) = 2*r**2. Let q(j) = -204819576*j**2. What is l(q(o))?
83902117425639552*o**4
Let d(u) = -2*u**2 - 23*u. Let c(t) = -659*t**2 + 1324*t**2 + 0*t + 0*t - 670*t**2. What is d(c(z))?
-50*z**4 + 115*z**2
Let y(t) = -197*t**2 - 202*t**2 + 580*t**2 - 141*t**2. Let a(g) = 15*g**2. What is a(y(q))?
24000*q**4
Let d be (3 - (-20)/5) + 0. Suppose 2*l + 1445 = d*l. Let u(r) = 138*r**2 + 146*r**2 - l*r**2. Let m(p) = -15*p**2. What is u(m(w))?
-1125*w**4
Let u(w) = 5*w - w - 3*w - 7*w + 5*w. Let c(a) be the second derivative of a**3/3 - 12*a**2 + 3*a. Calculate c(u(v)).
-2*v - 24
Let b(c) = -c. Let z(o) = -8*o - 4. Let y be (90/24)/5 - 26/(-8). Let i(j) = -5*j - 3. Let w(s) = y*i(s) - 3*z(s). Calculate w(b(f)).
-4*f
Let m(p) = -10*p - 21940962. Let r(c) = c. Calculate m(r(o)).
-10*o - 21940962
Let l(a) = -15 + 15 - a**2. Suppose -y + 0*y - 5*c + 33 = 0, -5*y - 5*c + 65 = 0. Let o(s) = -y*s**2 - 1617 + 1617. What is l(o(u))?
-64*u**4
Let p(n) = -10*n. Let g(q) = q**2 + 21*q + 103. Let i be g(-14). Let f(o) = i*o + 4*o + 18*o. What is p(f(b))?
-270*b
Let f(w) = -42*w**2. Let y(n) be the second derivative of -n**4/12 + 73*n**2/2 - n + 24. Let i(k) be the first derivative of y(k). Determine i(f(d)).
84*d**2
Let n(r) be the second derivative of 0*r**3 + 0 - 14*r - 13/12*r**4 + 0*r**2. Let u(o) = o + 4*o - 6*o - o. Give u(n(j)).
26*j**2
Let k(l) be the third derivative of -l**6/360 + 79*l**4/24 - 3*l**2 - 28. Let j(t) be the second derivative of k(t). Let o(d) = 5*d - 6. Determine j(o(h)).
-10*h + 12
Let g(y) = 561*y. Let t(h) be the third derivative of -h**4/12 + 2*h**2 + 905. Determine g(t(v)).
-1122*v
Let u(y) = -21*y + 5. Let d(i) = -33473*i. What is u(d(c))?
702933*c + 5
Let f(i) = i**2 - 921*i - 1. Let q(d) = 312*d. Give q(f(h)).
312*h**2 - 287352*h - 312
Let c(a) = 3*a - 11. Let n(w) = 2*w + 19. Let k(p) = c(p) + 3*n(p). Let u(s) = -3*s. Give u(k(z)).
-27*z - 138
Let d(w) = -83*w - 45*w + 131*w + 403*w. Let z(g) = -g. What is z(d(p))?
-406*p
Let r(c) = -2*c + 0*c + 6*c - 2*c. Let h(i) be the third derivative of -7*i**4/8 - 19*i**2 + i. Give h(r(d)).
-42*d
Let a(d) = -d. Let u(w) = -23*w* | {
"pile_set_name": "DM Mathematics"
} |
s?
4
Suppose r - 14*r = -104. Calculate the remainder when 14 is divided by r.
6
Let w = 14 + -9. Suppose -5*s - 2 = -6*s - 3*x, 2 = -s - w*x. What is the remainder when s is divided by 5?
3
Let l(w) = -w**2 + 8*w - 6. Let d(s) = 2*s**3 - 24*s**2 + 22*s + 5. Calculate the remainder when l(5) is divided by d(11).
4
Let i = -47 + 183. What is the remainder when i is divided by 20?
16
Let f(u) = -u**3 - 17*u**2 - 20*u + 9. Calculate the remainder when f(-16) is divided by 38.
35
Suppose 4*n = 3*h - 201, 8*h - 303 = 3*h - 4*n. Calculate the remainder when h is divided by 16.
15
Let o(b) = -b**3 - 2*b**2 + b. Let j(z) be the first derivative of z**3/3 + 3*z**2/2 + z + 1. Calculate the remainder when j(-5) is divided by o(-3).
5
What is the remainder when 516/10 - ((-13)/(-5) - 3) is divided by 27?
25
What is the remainder when 6 is divided by 9/63 + (-60)/(-21)?
0
Suppose -6*y + y + c = -103, 2*c = -4*y + 88. What is the remainder when y is divided by 11?
10
Let a = 172 - 86. What is the remainder when a is divided by 30?
26
Suppose 44 = -4*i + 12. Suppose -3*b - 6*n + 27 = -n, 0 = b + 4*n - 16. Calculate the remainder when (10/b)/((-1)/i) is divided by 11.
9
Let t be 26/(-30) + (-22)/165. Suppose 0 = -3*y + 16 + 20. What is the remainder when (3 + -1)*t + 37 is divided by y?
11
Let o(g) = -14*g + 1. Let k be o(4). Let c = k - -87. What is the remainder when c is divided by (-22)/(1*1*-2)?
10
Let o(i) = -3*i**3 + i**2 - i. Let b be o(-2). Let r = b + -21. Calculate the remainder when r is divided by (-48)/(-20) - (-6)/10.
0
Let s = -2 - -1. Let w(u) = 21*u**2 - 1. Let l = 22 + -15. What is the remainder when w(s) is divided by l?
6
Let f(q) = -q**3 + 16*q**2 - 28*q + 23. What is the remainder when 41 is divided by f(14)?
18
Suppose 2*n + k = 69, k + 193 - 46 = 4*n. What is the remainder when n is divided by 19?
17
Let a = -8 + 13. Suppose -d = -0*d - a. What is the remainder when d is divided by 4?
1
Let o(v) = 9*v - 1. Let z be (-2)/5 - 114/(-10). Suppose -d - 5 + z = 0. Calculate the remainder when o(2) is divided by d.
5
Let l(o) = 4*o**2 - 3*o - 3. What is the remainder when -18 + 51 + 2/(2/3) is divided by l(-2)?
17
Let d(h) = 7*h + 17. Let k = 1 - -1. Suppose 0 = 2*f + 2*g + 2, 0*g = -4*f - k*g + 2. What is the remainder when d(-2) is divided by f?
1
Let n(b) = b**3 + 9*b**2 - 10*b + 5. Let k be n(-10). Suppose -3*c = -k*c + 76. What is the remainder when c is divided by 13?
12
Calculate the remainder when 320/24 - (-1)/(-3) is divided by 3.
1
Let i be ((-135)/12)/(3/(-108)). Suppose 5*s + f - i = 0, -2*s + 3*s - f = 87. Calculate the remainder when s is divided by 28.
26
Let b = -204 - -301. Suppose 4*s = 100 - 0. What is the remainder when b is divided by s?
22
Suppose -2*c + 3*j = -36, -26 = 3*c - 5*j - 78. Calculate the remainder when c is divided by (-13)/(-2)*(0 + 2).
11
Suppose 5*q + 7 = -4*i - 22, 23 = -3*q - i. Let z be (6/q)/((-3)/(-9)). Let r = z - -8. What is the remainder when 17 is divided by r?
5
Suppose -6*i + 10 = -i. Suppose -y + 4*z + 25 = -z, -5*y + i*z = -79. Let o = -9 + y. What is the remainder when 16 is divided by o?
4
Let h be 14/6*(1 - -2). Let l(y) = y + 10. Let d be l(h). Suppose 2*a - 5*x = -d, a - 5*a + 2*x + 6 = 0. What is the remainder when 13 is divided by a?
1
Let h = 470 + -288. Calculate the remainder when h is divided by 37.
34
Let z be 2/(-4)*(-46 + 0). Let f = z + -14. What is the remainder when 25 is divided by f?
7
Let x = 32 - 23. Suppose 0 = t + 2*t - 6. Suppose 2*d = t*q + 5*d - 39, -60 = -2*q + 4*d. What is the remainder when q is divided by x?
6
Let m be 3*(-1)/(0 + -1). Let o be (m + -2)/((-2)/(-8)). Suppose 8 = o*z - 0. Calculate the remainder when z is divided by 2.
0
Let u(a) = -a**3 + 6*a**2 - 4*a + 4. Suppose -2*j - 2 = 10. Let m be ((-4)/j)/((-2)/(-12)). What is the remainder when u(m) is divided by 11?
9
Let w(p) = p**2 - 3*p + 2. Let r be w(7). Suppose a = 2*a - n - r, 3*a = -3*n + 66. What is the remainder when a is divided by 9?
8
Let n(j) = -2*j**3 + 2*j**2 + 2*j + 1. Let g = 20 - 13. Calculate the remainder when g is divided by n(-1).
1
Suppose 4*q = 3*q + 78. Suppose -2*f - q = -w - w, -2*f - 119 = -3*w. Let t(k) = 2*k**3 - 5*k**2 + 2*k - 1. Calculate the remainder when w is divided by t(3).
13
Suppose 17 = -5*j + 57. Let z = 4 - -1. Suppose l - z = -0*l. What is the remainder when j is divided by l?
3
Calculate the remainder when 36 is divided by (13 + 0)/(0 - -1).
10
Let f = -79 + 8. Suppose -314 - 256 = 5*p. Let c = f - p. What is the remainder when c is divided by 15?
13
What is the remainder when (-3)/((-1)/8*3) is divided by 4?
0
Let m(n) = -n + 1. Let j be m(1). Calculate the remainder when 35 is divided by 9 + j/(3 - 0).
8
Suppose 2*r + 3 = 3*r. Suppose 6*f = r*f + 72. Suppose k + 3*k - 4*j - f = 0, 4*k - 15 = -5*j. Calculate the remainder when k is divided by 2.
1
Suppose -16*f + 99 = -5*f. What is the remainder when 34 is divided by f?
7
Suppose 0 = 7*n - 3*n - 44. Suppose 3 = -4*j + n. Suppose j*f = 6 + 8. What is the remainder when 12 is divided by f?
5
Let c(y) = 6*y + 2. Let b be c(2). Suppose -5*i + b = -76. Calculate the remainder when i is divided by 2 + (2 + 10 - 4).
8
Suppose 0 = -0*l - 3*l + 66. Calculate the remainder when l is divided by 13.
9
Let a(i) = i**2 + 7. Let b = -3 + 5. What is the remainder when a(-5) is divided by (66/12)/(1/b)?
10
Suppose -5*u = 0, 3*u + 2*u + 12 = 4*o. Suppose -t + o*t = 0. Calculate the remainder when (t - 2)/((-2)/32) is divided by 11.
10
What is the remainder when (-4)/18 + (-1384)/(-72) is divided by 11?
8
Let m = -111 - -162. Suppose c = m - 16. Calculate the remainder when c is divided by (1 - 2/(-6))*9.
11
Let q(m) = -3*m + 2. Let u be q(-6). Let a = u - 3. What is the remainder when a is divided by 10?
7
Suppose -82 = 2*f + 94. Let r = f + 154. What is the remainder when r is divided by 17?
15
Suppose -4*v + 154 + 222 = 0. What is the remainder when v is divided by 24?
22
Suppose 5*x - 44 = 6. What is the remainder when 38 is divided by x/(3/3) + 3?
12
Let s(j) = j**2 + 4*j. Let q be s(3). Suppose q = 4*u + 1. Calculate the remainder when 22 is divided by u.
2
Let d(u) = u + 6. Let r be d(-4). Suppose 2 = 4*x - 2, r*n + 2*x = 110. Calculate the remainder when n is divided by 14.
12
Let a = 1 + -3. Let l = 8 + a. Let w = 5 + l. Calculate the remainder when w is divided by 6.
5
Let l(c) = 4*c + 5. What is the remainder when l(4) is divided by 13?
8
Suppose -5*k + 5*v + 85 = -30, -5*v - 1 = k. What is the remainder when k is divided by 11?
8
Suppose 31 = 2*a - 69. Suppose -5*j + a = -0*j. What is the remainder when 17 is divided by j?
7
Let n(f) = f**2 - 2. Let v be n(-2). Suppose 2*o + v = 10. Suppose p - 6 = -0*p. What is the remainder when p is divided by o?
2
Suppose -y - y = 8. What is the remainder when 11 is divided by (-1)/((-11)/y + -3)?
3
Suppose 3*w - 14 - 55 = 0. Let d be (3 + (-18)/3)/(-1). Suppose -2*y - 5*a - 1 = 0, -d*y + 8*a + 51 = 5*a. Calculate the remainder when w is divided by y.
11
Suppose 3*l = -l + 8. What is the remainder when 33 is divided by (1/1)/(l/36)?
15
Suppose 0 = 4*u - 91 - 109. Calculate the remainder when u is divided by -3 + 0 - (-24 - -4).
16
Let m(h) = -2*h + 39. Calculate the remainder when 33 is divided by m(16).
5
What is the remainder when 35/2*(-98)/(-35) is divided by 13?
10
What is the remainder when 46 is divided by (0 - (-98)/6) + 9/(-27)?
14
Suppose -58 - 22 = -4*k. Suppose 4*u = 66 + 170. What is the remainder when u is divided by k?
19
Suppose -4*c + 4*m + 168 = 0, -4*c + 128 = -c - 5*m. What is the remainder when c is divided by 14?
13
Let d = 188 + -113. What is the remainder when d is divided by 19?
18
Suppose -4*n + 0 = -4. Let w(r) = -r**3 + 10*r**2 + r - 9. Calculate the remainder when w(10) is divided by n.
0
Let y(i) = i**3 + 8*i**2 + 7*i + 4. Calculate the remainder when 19 is divided by y(-7).
3
Let s(n) = -n**3 - 3*n**2 + 2*n. Let i be s(-5). Let d = i - 24. What is the remainder when 31 is divided by d?
15
Calculate the remainder when (4/(-4))/(1/(-65)) is divided by 17.
14
Let n be (-8)/60 - (-446)/(-30). Let j = n + 22. What is the remainder when 27 is divided by j?
6
Let i = 22 + 9. What is the remainder when i is divided by 4?
3
Suppose -9*w - 2*w + 308 | {
"pile_set_name": "DM Mathematics"
} |
atest common factor of 4 and 172.
4
What is the greatest common divisor of 324 and 2889?
27
What is the greatest common divisor of 9912 and 168?
168
What is the highest common divisor of 452 and 791?
113
What is the highest common factor of 621 and 1053?
27
Calculate the greatest common factor of 513 and 135.
27
What is the highest common divisor of 8 and 11?
1
What is the highest common divisor of 614 and 1535?
307
Calculate the greatest common divisor of 144 and 368.
16
Calculate the greatest common divisor of 2028 and 468.
156
Calculate the greatest common factor of 297 and 27.
27
What is the greatest common factor of 728 and 2080?
104
What is the greatest common divisor of 4818 and 1254?
66
What is the highest common divisor of 1 and 2662?
1
Calculate the greatest common divisor of 1166 and 848.
106
Calculate the greatest common divisor of 1313 and 143.
13
What is the greatest common divisor of 12643 and 269?
269
What is the greatest common factor of 2070 and 15?
15
What is the highest common divisor of 525 and 1260?
105
What is the highest common divisor of 4 and 6268?
4
What is the highest common divisor of 9 and 7?
1
Calculate the greatest common divisor of 72 and 1344.
24
What is the highest common divisor of 108 and 99?
9
What is the highest common divisor of 135 and 45?
45
Calculate the greatest common divisor of 49 and 35.
7
What is the highest common factor of 157 and 9?
1
Calculate the highest common factor of 720 and 45.
45
What is the greatest common divisor of 12 and 279?
3
What is the greatest common factor of 1173 and 34?
17
What is the highest common divisor of 12496 and 22?
22
What is the highest common divisor of 21 and 23163?
21
Calculate the greatest common factor of 510 and 19992.
102
Calculate the highest common divisor of 3328 and 2048.
256
Calculate the highest common factor of 96 and 3.
3
What is the highest common factor of 3206 and 14?
14
What is the greatest common divisor of 25790 and 10?
10
Calculate the highest common divisor of 242 and 77.
11
What is the greatest common factor of 105 and 45?
15
What is the highest common divisor of 513 and 114?
57
What is the greatest common divisor of 156 and 8268?
156
What is the greatest common divisor of 3660 and 120?
60
Calculate the greatest common divisor of 190 and 170.
10
Calculate the highest common factor of 50 and 30.
10
Calculate the greatest common divisor of 140 and 868.
28
Calculate the highest common factor of 61 and 183.
61
Calculate the greatest common divisor of 33 and 44.
11
What is the highest common divisor of 132 and 9?
3
What is the greatest common divisor of 9248 and 136?
136
Calculate the greatest common factor of 490 and 60.
10
Calculate the greatest common factor of 10 and 2750.
10
Calculate the highest common divisor of 5648 and 16.
16
What is the greatest common factor of 30 and 18?
6
What is the greatest common factor of 2541 and 484?
121
Calculate the greatest common divisor of 365 and 584.
73
What is the greatest common factor of 176 and 539?
11
What is the greatest common factor of 364 and 168?
28
What is the highest common factor of 1032 and 264?
24
What is the highest common divisor of 1518 and 99?
33
Calculate the greatest common factor of 87 and 145.
29
What is the highest common factor of 52 and 2002?
26
What is the highest common divisor of 303 and 3?
3
What is the highest common factor of 2071 and 872?
109
What is the greatest common divisor of 36 and 9?
9
What is the highest common factor of 23883 and 57?
57
What is the greatest common divisor of 26 and 4?
2
Calculate the greatest common divisor of 9 and 1536.
3
What is the greatest common divisor of 1197 and 665?
133
What is the greatest common divisor of 11925 and 25?
25
Calculate the greatest common divisor of 80 and 32.
16
What is the highest common divisor of 34 and 3?
1
Calculate the greatest common factor of 26330 and 10.
10
Calculate the greatest common factor of 72 and 14058.
18
What is the highest common factor of 1581 and 124?
31
What is the highest common factor of 99 and 63?
9
Calculate the highest common divisor of 6 and 726.
6
Calculate the greatest common factor of 483 and 273.
21
Calculate the highest common factor of 2 and 122.
2
Calculate the highest common factor of 597 and 4577.
199
Calculate the greatest common factor of 603 and 1340.
67
Calculate the greatest common divisor of 44 and 11.
11
Calculate the highest common divisor of 21 and 91.
7
What is the greatest common factor of 1136 and 16?
16
Calculate the highest common divisor of 156 and 1222.
26
Calculate the greatest common divisor of 7 and 161.
7
Calculate the greatest common factor of 136 and 85.
17
Calculate the greatest common divisor of 15 and 95.
5
What is the greatest common divisor of 104 and 676?
52
What is the highest common divisor of 2 and 622?
2
What is the greatest common divisor of 51 and 187?
17
What is the greatest common divisor of 2212 and 56?
28
What is the greatest common divisor of 136 and 448?
8
Calculate the highest common divisor of 6579 and 43.
43
What is the highest common divisor of 360 and 310?
10
What is the greatest common divisor of 1012 and 1144?
44
Calculate the highest common divisor of 72 and 300.
12
What is the highest common divisor of 25 and 9?
1
Calculate the highest common factor of 171 and 19.
19
What is the greatest common factor of 258 and 18?
6
Calculate the greatest common factor of 3082 and 335.
67
What is the highest common factor of 116 and 35264?
116
What is the greatest common divisor of 340 and 10268?
68
What is the highest common divisor of 303 and 20806?
101
What is the greatest common divisor of 915 and 30?
15
Calculate the greatest common factor of 21 and 175.
7
What is the highest common divisor of 3440 and 320?
80
Calculate the highest common factor of 114 and 133.
19
Calculate the greatest common divisor of 255 and 2190.
15
Calculate the highest common divisor of 1410 and 30.
30
Calculate the highest common factor of 533 and 41.
41
What is the greatest common divisor of 12 and 114?
6
What is the greatest common divisor of 20 and 540?
20
What is the highest common factor of 184 and 4?
4
Calculate the highest common factor of 10 and 33140.
10
What is the highest common divisor of 55944 and 296?
296
Calculate the greatest common factor of 2025 and 375.
75
What is the greatest common factor of 18 and 186?
6
What is the highest common divisor of 3300 and 5?
5
What is the greatest common factor of 3186 and 118?
118
Calculate the highest common divisor of 1072 and 1273.
67
Calculate the greatest common divisor of 753 and 14056.
251
What is the highest common factor of 1192 and 8?
8
Calculate the greatest common factor of 18 and 102.
6
What is the greatest common factor of 126 and 252?
126
What is the greatest common factor of 45 and 9555?
15
Calculate the greatest common divisor of 256 and 12.
4
Calculate the greatest common factor of 130 and 26.
26
What is the highest common divisor of 32 and 1336?
8
What is the greatest common factor of 29 and 5771?
29
What is the greatest common factor of 3730 and 20?
10
What is the greatest common factor of 355 and 1917?
71
What is the highest common divisor of 33 and 11?
11
What is the greatest common divisor of 342 and 266?
38
What is the greatest common divisor of 8998 and 22?
22
Calculate the greatest common factor of 178 and 534.
178
What is the highest common divisor of 33 and 2673?
33
Calculate the highest common divisor of 11 and 85327.
11
Calculate the highest common divisor of 27 and 225.
9
What is the highest common factor of 2424 and 288?
24
Calculate the highest common factor of 6875 and 55.
55
What is the greatest common factor of 2244 and 132?
132
Calculate the highest common factor of 2 and 94.
2
What is the greatest common factor of 289 and 68?
17
What is the greatest common divisor of 92 and 8?
4
Calculate the greatest common factor of 24 and 156.
12
What is the greatest common divisor of 2666 and 62?
62
Calculate the highest common divisor of 66 and 12.
6
Calculate the highest common divisor of 493 and 17.
17
What is the greatest common factor of 6 and 21?
3
Calculate the highest common factor of 180 and 120.
60
What is the greatest common divisor of 637 and 140?
7
Calculate the greatest comm | {
"pile_set_name": "DM Mathematics"
} |
4?
33
What is the remainder when 329 is divided by 81?
5
Calculate the remainder when 465 is divided by 162.
141
What is the remainder when 137 is divided by 105?
32
Calculate the remainder when 52 is divided by 7.
3
What is the remainder when 2770 is divided by 66?
64
Calculate the remainder when 238 is divided by 15.
13
Calculate the remainder when 149 is divided by 46.
11
Calculate the remainder when 187 is divided by 32.
27
Calculate the remainder when 1104 is divided by 27.
24
Calculate the remainder when 3302 is divided by 14.
12
What is the remainder when 250 is divided by 22?
8
What is the remainder when 17196 is divided by 117?
114
Calculate the remainder when 284 is divided by 58.
52
What is the remainder when 59 is divided by 12?
11
Calculate the remainder when 2097 is divided by 68.
57
Calculate the remainder when 1489 is divided by 186.
1
What is the remainder when 1832 is divided by 19?
8
What is the remainder when 10661 is divided by 820?
1
What is the remainder when 449 is divided by 23?
12
Calculate the remainder when 5213 is divided by 93.
5
Calculate the remainder when 1533 is divided by 64.
61
Calculate the remainder when 253 is divided by 250.
3
What is the remainder when 522 is divided by 112?
74
What is the remainder when 6187 is divided by 9?
4
Calculate the remainder when 1444 is divided by 310.
204
Calculate the remainder when 2686 is divided by 53.
36
Calculate the remainder when 171 is divided by 33.
6
What is the remainder when 744 is divided by 16?
8
What is the remainder when 209 is divided by 47?
21
What is the remainder when 253 is divided by 47?
18
Calculate the remainder when 745 is divided by 250.
245
What is the remainder when 12 is divided by 8?
4
Calculate the remainder when 114 is divided by 48.
18
Calculate the remainder when 415 is divided by 70.
65
What is the remainder when 57 is divided by 51?
6
What is the remainder when 15051 is divided by 6?
3
What is the remainder when 861 is divided by 213?
9
What is the remainder when 102 is divided by 69?
33
What is the remainder when 125 is divided by 84?
41
Calculate the remainder when 572 is divided by 48.
44
Calculate the remainder when 55 is divided by 26.
3
Calculate the remainder when 32883 is divided by 18.
15
Calculate the remainder when 1113 is divided by 361.
30
Calculate the remainder when 822 is divided by 404.
14
Calculate the remainder when 75 is divided by 44.
31
Calculate the remainder when 3940 is divided by 1311.
7
Calculate the remainder when 1139 is divided by 15.
14
What is the remainder when 5605 is divided by 8?
5
What is the remainder when 945 is divided by 86?
85
What is the remainder when 239 is divided by 24?
23
Calculate the remainder when 55 is divided by 5.
0
Calculate the remainder when 307 is divided by 22.
21
Calculate the remainder when 1082 is divided by 7.
4
What is the remainder when 1093 is divided by 79?
66
Calculate the remainder when 888 is divided by 4.
0
Calculate the remainder when 127 is divided by 17.
8
Calculate the remainder when 801 is divided by 26.
21
Calculate the remainder when 5049 is divided by 840.
9
What is the remainder when 29466 is divided by 139?
137
What is the remainder when 2768 is divided by 232?
216
What is the remainder when 133 is divided by 9?
7
What is the remainder when 167 is divided by 5?
2
Calculate the remainder when 2361 is divided by 84.
9
Calculate the remainder when 381 is divided by 357.
24
What is the remainder when 217 is divided by 73?
71
What is the remainder when 354 is divided by 94?
72
What is the remainder when 2748 is divided by 153?
147
Calculate the remainder when 15829 is divided by 377.
372
Calculate the remainder when 449 is divided by 113.
110
What is the remainder when 141 is divided by 29?
25
What is the remainder when 6134 is divided by 99?
95
What is the remainder when 431 is divided by 48?
47
Calculate the remainder when 83 is divided by 16.
3
What is the remainder when 5 is divided by 3?
2
Calculate the remainder when 2843 is divided by 219.
215
Calculate the remainder when 131 is divided by 78.
53
What is the remainder when 2314 is divided by 10?
4
Calculate the remainder when 182 is divided by 62.
58
Calculate the remainder when 356 is divided by 121.
114
Calculate the remainder when 1708 is divided by 337.
23
Calculate the remainder when 266 is divided by 30.
26
What is the remainder when 1218 is divided by 400?
18
What is the remainder when 5 is divided by 5?
0
What is the remainder when 463 is divided by 33?
1
What is the remainder when 543 is divided by 21?
18
What is the remainder when 68 is divided by 18?
14
What is the remainder when 23390 is divided by 16?
14
Calculate the remainder when 1340 is divided by 92.
52
Calculate the remainder when 2007 is divided by 100.
7
What is the remainder when 84 is divided by 45?
39
Calculate the remainder when 56 is divided by 42.
14
What is the remainder when 930 is divided by 19?
18
What is the remainder when 3766 is divided by 4?
2
What is the remainder when 205 is divided by 23?
21
Calculate the remainder when 157 is divided by 27.
22
What is the remainder when 678 is divided by 99?
84
What is the remainder when 326 is divided by 8?
6
Calculate the remainder when 434 is divided by 19.
16
What is the remainder when 2805 is divided by 108?
105
Calculate the remainder when 179 is divided by 59.
2
What is the remainder when 443 is divided by 74?
73
What is the remainder when 53 is divided by 7?
4
What is the remainder when 6263 is divided by 6?
5
What is the remainder when 81 is divided by 31?
19
Calculate the remainder when 341 is divided by 110.
11
What is the remainder when 6749 is divided by 15?
14
Calculate the remainder when 98 is divided by 9.
8
What is the remainder when 276 is divided by 111?
54
Calculate the remainder when 81 is divided by 54.
27
Calculate the remainder when 1028 is divided by 10.
8
What is the remainder when 2954 is divided by 373?
343
What is the remainder when 7190 is divided by 58?
56
What is the remainder when 2699 is divided by 76?
39
Calculate the remainder when 940 is divided by 29.
12
Calculate the remainder when 1702 is divided by 13.
12
What is the remainder when 339 is divided by 20?
19
What is the remainder when 624 is divided by 617?
7
Calculate the remainder when 627 is divided by 207.
6
What is the remainder when 343 is divided by 84?
7
What is the remainder when 43 is divided by 2?
1
What is the remainder when 575 is divided by 72?
71
Calculate the remainder when 269 is divided by 51.
14
Calculate the remainder when 75 is divided by 42.
33
What is the remainder when 482 is divided by 44?
42
Calculate the remainder when 132 is divided by 26.
2
Calculate the remainder when 42 is divided by 14.
0
What is the remainder when 170 is divided by 89?
81
What is the remainder when 466 is divided by 157?
152
Calculate the remainder when 1751 is divided by 65.
61
What is the remainder when 1381 is divided by 122?
39
What is the remainder when 71 is divided by 22?
5
What is the remainder when 2328 is divided by 7?
4
What is the remainder when 959 is divided by 30?
29
Calculate the remainder when 153 is divided by 11.
10
Calculate the remainder when 90 is divided by 70.
20
What is the remainder when 38350 is divided by 94?
92
Calculate the remainder when 524 is divided by 17.
14
What is the remainder when 90 is divided by 72?
18
What is the remainder when 95 is divided by 25?
20
Calculate the remainder when 1128 is divided by 162.
156
What is the remainder when 2065 is divided by 1013?
39
What is the remainder when 152 is divided by 14?
12
Calculate the remainder when 295 is divided by 27.
25
Calculate the remainder when 276 is divided by 115.
46
What is the remainder when 204 is divided by 27?
15
Calculate the remainder when 106 is divided by 32.
10
Calculate the remainder when 281 is divided by 11.
6
What is the remainder when 581 is divided by 216?
149
Calculate the remainder when 959 is divided by 32.
31
What is the remainder when 297 is divided by 77?
66
What is the remainder when 2322 is divided by 25?
22
What is the remainder when 1900 is divided by 112?
108
What is the remainder when 27507 is divided by 23?
22
What is the remainder when 1246 is divided by 618?
10
Calculat | {
"pile_set_name": "DM Mathematics"
} |
by b?
17
Suppose q - 6*m + 4*m = 18, 2*m = -33*q + 526. Calculate the remainder when 4473 is divided by q.
9
Let q = 151 - -69. Calculate the remainder when q is divided by (-1 - 2) + (2 - -38).
35
Let b = 14 + 26. Let l = 42 - b. Suppose -64 = -3*f - f + l*c, -3*c + 12 = 0. Calculate the remainder when f is divided by 10.
8
Suppose 3*c + c - 143 = -5*p, 2*c = -6. Let j(b) = 4*b**2 + 4*b - 15. Let w be j(-7). Suppose -w*m + 152*m = -7. What is the remainder when p is divided by m?
3
Let z(h) = 38*h - 14. Let s be z(2). Suppose m - 2*o = 3, 2*m - 7*m - 5*o + 75 = 0. Calculate the remainder when (s/(-8))/(2/(-8)) is divided by m.
9
Suppose 0 = -15*i + 11*i + 12. Suppose -i*d = -2*d + b - 52, -5*d = -3*b - 268. Let y = -48 + d. Calculate the remainder when y is divided by 3.
2
Suppose -1881 = -8*w - 409. Let v = w - 169. What is the remainder when (1 - (-2 - -2))*27 is divided by v?
12
Suppose -7*v = 11*v - 277 - 47. Calculate the remainder when 1366 is divided by v.
16
Let b(w) = 72*w**2 - 2*w - 3. Calculate the remainder when b(-2) is divided by 17/(510/12) - 10143/(-105).
95
Suppose -4*h + 5*w + 905 = -h, 0 = -3*h - w + 881. Suppose -5*t + h = d, -2*t + 13 + 105 = 3*d. Calculate the remainder when t is divided by 15.
14
Suppose -39 = -2*q + 3*u - 12, 5 = -u. Suppose -2*n + 56 = 3*y - q, -3*y = -12. Suppose 0 = p - 9 - 4. Calculate the remainder when n is divided by p.
12
Let s(g) = -g**3 - 5*g**2 + 23*g + 223. What is the remainder when s(-6) is divided by 47?
27
Let x = -200523 - -200556. Let w = 395 + -261. What is the remainder when w is divided by x?
2
Suppose 18 = 5*k - 122. Let z(q) = q**2 - 18*q + 69. Let n(y) = -y**2 - 5*y + 26. Let p be n(-6). What is the remainder when z(p) is divided by k?
25
Suppose 949 = 5*y + 2*n + 374, -493 = -4*y + 5*n. Suppose 22*o = 18*o - 744. Calculate the remainder when y is divided by 2/(-4 - o/45).
12
Let j(f) = -f**2 - 23*f - 100. Let r be j(-16). Let q = r + 666. What is the remainder when q is divided by 62?
58
Let p = 1462 + -1448. Calculate the remainder when 78 is divided by p.
8
Suppose -39*n = -42*n + 3717. What is the remainder when n is divided by 54?
51
Let j be 105 + 0/(-12) + 1*-2. Let g = -82 + j. What is the remainder when g is divided by 13 + ((-4)/(-3) - 169/39)?
1
Calculate the remainder when -6142*2/(-64) + 46/736 is divided by ((-1 - -1) + 15)*1.
12
Let w = 275 - 696. Let u = -404 - w. Calculate the remainder when 33 is divided by u.
16
Let p(d) = 8*d**2 + 158*d - 24. What is the remainder when 367 is divided by p(-20)?
15
Suppose 0*z + 3*t = 2*z - 1, -2*z - t = -5. Suppose -3*w = -3*x - 93, -5*w - z*x + 113 + 21 = 0. What is the remainder when 276 is divided by w?
24
Suppose 7*r = 10*r + 15. Let b(v) = 13*v. What is the remainder when b(1) is divided by (r - -3)*(-3)/2?
1
Suppose -y + 85 = 30. Suppose 5*t - y = -5*c, 0 = -3*c + 2*t - 7 + 45. Let p = 185 + -114. Calculate the remainder when p is divided by c.
11
Let x(y) = y**2 - y + 31. Let n = -76 + 91. What is the remainder when x(-6) is divided by n?
13
Let g(t) = t**3 + 2*t**2 + 2*t - 3. Let u(q) = 9*q**2 + 210*q + 895. What is the remainder when u(-18) is divided by g(2)?
14
Let k = 56 - 39. Let a = -295 + 311. Suppose -p + 3*r + 4 = 0, r + a = 2*p + 3*r. What is the remainder when k is divided by p?
3
What is the remainder when ((-26)/(-3) - 1)/((-120)/(-40680)) is divided by 19?
15
Let q(r) be the third derivative of r**6/120 - 7*r**5/60 - r**4/3 - 2*r**3/3 - 8*r**2. Let g be q(8). What is the remainder when (-12)/15*70/g is divided by 4?
2
Suppose 2681 = 8*g - g. Let t = g + -154. What is the remainder when t is divided by 46?
45
Suppose 2*t - 28 = 3*z, 0 = 4*t - 0*t + 4*z - 16. Let p(q) = 6*q - 43. Suppose 3 = -3*o + 54. What is the remainder when o is divided by p(t)?
2
Let o = 12903 + -12734. What is the remainder when o is divided by 39?
13
Suppose -130 = -594*d + 581*d. What is the remainder when 5439 is divided by d?
9
Suppose 6*l - 24158 - 11392 = 0. Calculate the remainder when l is divided by 49.
45
Let o = -102 - -498. Suppose -4*m + k + 57 = 0, 3*m = -m - 2*k + 54. Calculate the remainder when (-130)/(-6) + -12*(-11)/o is divided by m.
8
Let k(z) = -27*z**2 - 11 + 44*z**2 + 5*z + 3. Calculate the remainder when k(3) is divided by 7.
6
Suppose 295*s - 274 = 174*s + 75230. What is the remainder when 1268 is divided by s?
20
Let x be 3 - (2/(-2))/1. Let m(c) = 6*c**2 - 29*c - 90. What is the remainder when m(-3) is divided by x/(-10) - 94/(-10)?
6
Let n(x) = 14*x**3 - 9*x**2 + 14*x + 7. What is the remainder when n(3) is divided by 32?
26
Suppose -4*r + 4*x + 16040 = 0, 3*r - 13390 = -2*x - 1390. What is the remainder when r is divided by 18?
8
Suppose 11*m - 464 = 3*m. Let s = m + -42. What is the remainder when 464/5 - (-2)/10 is divided by s?
13
Suppose 0 - 3 = -i. Suppose 0 = -5*w + i*w - l + 273, -5*w + 4*l = -715. Calculate the remainder when w is divided by 71.
68
Let u be 2/(16/2)*40. Calculate the remainder when 75 is divided by 432/10 + u/((-650)/13).
32
Let f = -186 + 357. What is the remainder when f is divided by 29?
26
Suppose 990 = z - 12*z. Let q = -79 - z. Let g(d) = -15*d - 9. Calculate the remainder when g(-2) is divided by q.
10
Let f = 3 + 5. Suppose -420 = 2*q - f*q. Let z = q + 27. What is the remainder when z is divided by 20?
17
Let k(x) = x**3 + 3*x**2 - 8*x + 3. Let u be (17/(-21) - (-22)/154)*6. What is the remainder when 36 is divided by k(u)?
17
Let h = -4864 + 6122. What is the remainder when h is divided by 42?
40
Suppose 4 = -10*x + 11*x. Suppose 0 = x*a + f - 35, -3*f - 5 = -3*a + 40. Suppose 0*z = -2*z + 14. What is the remainder when a is divided by z?
3
Suppose i - 304 = 5*i. Let r = 113 + i. Suppose h = r + 72. Calculate the remainder when h is divided by 16.
13
Let w(u) = 18*u**2 - 30*u + 121. What is the remainder when w(5) is divided by 416?
5
Let f = -5660 + 6045. What is the remainder when f is divided by 57?
43
Let p = 19 - -26. Let u = 1399783 + -1399738. Calculate the remainder when u is divided by p.
0
Calculate the remainder when 4640/30*90/24 is divided by 135.
40
Suppose 3*s - 17 = -3*k + 139, 3*k - 204 = -4*s. Suppose o - 111 + 23 = 0. What is the remainder when s is divided by (o/(-20) + (-12)/20)*-4?
8
Let d(p) = -14*p + 129. What is the remainder when d(-15) is divided by 114?
111
Suppose 108 = 29*l - 11*l. Suppose 0*c = -7*c + 119. Suppose 15*p - c*p = -22. What is the remainder when p is divided by l?
5
Let k(y) = 4*y**2 + 29*y + 89. Calculate the remainder when 660 is divided by k(-6).
11
Let s(y) = 3*y**2 + 75*y - 943. Calculate the remainder when s(13) is divided by 34.
29
Suppose -170*o - 48776 = -204*o + 35442. Calculate the remainder when o is divided by 37.
35
Let y = 4 + -1. Let i(v) = -6*v**2 + 14*v + 62. Calculate the remainder when i(0) is divided by y.
2
Let h(m) = 2*m**3 - 179*m**2 + 265*m - 5. What is the remainder when 313 is divided by h(88)?
64
Suppose -4*r = 2*v - 2 - 6, 0 = -2*v - 2*r + 8. Suppose v = h, -3*h - 139 = -5*i - 26. Let w = -1301 + 1305. Calculate the remainder when i is divided by w.
1
Suppose -r = -6*r, -c = 115*r - 110*r - 122. What is the remainder when 1340 is divided by c?
120
Let c = -531 - -553. Suppose c*s - 5275 = 1215. Calculate the remainder when s is divided by 13.
9
Let t(q) = 6*q - 8. Let n be t(5). Let f = 71 - n. Let l = 35 + f. What is the remainder when l is divided by 17?
16
Let b be 17*1/5 + 136/(-340). Calculate the remainder when ((-174)/(-9) - 7)/(1/b) is divided by 20.
17
Suppose 4*j + 2*o = 3*o + 709, 2*o = -2*j + 352. Suppose -5*u + 2*f + j = 36, 3 = -f. Calculate the remainder when (-48)/8*(-424)/24 is divided by u.
25
Suppose -709*t = -656*t - 14310. What is the remainder when t is divided by 262?
8
Let y(p) = -2*p**2 - 13*p - 13. Let v = -86 - -81. Let x be y(v). Suppose -11*s = x*s - 260. What is the remainder when 76 is divided by s?
16
Suppose 9*r - 156 = -3*r. Let o(v) = 4*v - 47. What is the remainder when o(17) is divided by r?
8
Let i(d) = d**3 + 12*d**2 + 12*d + 19. Let s be i(-7). Suppose 146 = -17*p + s. What is the remainder when 45 is divided by p?
1
Let a = -6830 + 6842. What is the remainder when 377 is divided by a?
5
Let n be 0 + 30/8 + 93/372. Suppose -3*p + 431 = n*d, -5*p + d + 7 | {
"pile_set_name": "DM Mathematics"
} |
s?
-0.12
What is 0.0000449425 rounded to six dps?
0.000045
Round 571.608 to the nearest one hundred.
600
What is -0.10486174 rounded to 3 decimal places?
-0.105
What is -0.000156127 rounded to 7 decimal places?
-0.0001561
What is -1296.856 rounded to the nearest one hundred?
-1300
Round -18853100 to the nearest ten thousand.
-18850000
Round -2335378000 to the nearest 1000000.
-2335000000
Round 1267811.9 to the nearest 100000.
1300000
Round -0.11452746 to 3 decimal places.
-0.115
Round -0.89283714 to four decimal places.
-0.8928
Round -1.782666 to three dps.
-1.783
Round -5.282678 to the nearest integer.
-5
Round -0.377786 to three dps.
-0.378
Round 1.853483 to the nearest integer.
2
What is -6.354523 rounded to 1 decimal place?
-6.4
What is 4443.161 rounded to the nearest ten?
4440
Round 21.837 to the nearest 10.
20
What is 9.2981 rounded to 0 decimal places?
9
Round 56444.37 to the nearest 10000.
60000
Round -0.00005957635 to five dps.
-0.00006
Round 0.0070279316 to 4 decimal places.
0.007
Round 0.946 to one dp.
0.9
What is 4671010 rounded to the nearest one hundred thousand?
4700000
Round -278103000 to the nearest one million.
-278000000
What is -275.6556 rounded to one dp?
-275.7
What is 0.0000005484168 rounded to seven dps?
0.0000005
What is -0.00001940074 rounded to 7 dps?
-0.0000194
Round -59453970 to the nearest 100000.
-59500000
Round -0.000000531258 to 7 decimal places.
-0.0000005
What is -1639.109 rounded to the nearest 100?
-1600
Round 0.4193856 to 3 dps.
0.419
What is -4278640 rounded to the nearest 10000?
-4280000
What is -0.00000228513 rounded to seven decimal places?
-0.0000023
Round -0.0012002398 to five decimal places.
-0.0012
Round 0.001846301 to six decimal places.
0.001846
What is -99507960 rounded to the nearest 100000?
-99500000
What is 0.005361624 rounded to six decimal places?
0.005362
What is 54.66015 rounded to the nearest 10?
50
What is 30.67897 rounded to the nearest integer?
31
What is -1.199288 rounded to 2 dps?
-1.2
What is -297226.57 rounded to the nearest ten thousand?
-300000
Round 5988.19 to the nearest one hundred.
6000
Round -1252.3689 to the nearest ten.
-1250
What is -276207100 rounded to the nearest 100000?
-276200000
What is 1713.45 rounded to zero dps?
1713
Round 0.0000036372 to seven decimal places.
0.0000036
What is 1129.839 rounded to 0 dps?
1130
What is -0.0000001839 rounded to seven dps?
-0.0000002
Round -85.8464 to the nearest 10.
-90
What is 85155700 rounded to the nearest 1000000?
85000000
Round -47.3008 to the nearest integer.
-47
What is 14.88412 rounded to the nearest integer?
15
Round 0.0004132734 to 5 decimal places.
0.00041
Round -13152902 to the nearest one million.
-13000000
What is -111489600 rounded to the nearest 100000?
-111500000
What is -26677.4 rounded to the nearest 10?
-26680
What is -0.00407672 rounded to 4 dps?
-0.0041
Round -26382.741 to the nearest one hundred.
-26400
Round -188.9694 to the nearest 100.
-200
Round 4294265.2 to the nearest 1000.
4294000
What is -18903.9 rounded to the nearest 1000?
-19000
What is -0.000553522 rounded to 5 decimal places?
-0.00055
What is 0.37456193 rounded to 2 decimal places?
0.37
Round 109859000 to the nearest 100000.
109900000
What is 345569.5 rounded to the nearest 10000?
350000
Round -0.0457183 to 4 dps.
-0.0457
Round -0.0004790409 to five dps.
-0.00048
Round 162622.89 to the nearest ten.
162620
What is 28737.9 rounded to the nearest one hundred?
28700
What is -0.5198849 rounded to one decimal place?
-0.5
What is -0.531634 rounded to 1 dp?
-0.5
What is 10553.002 rounded to the nearest ten?
10550
Round 0.000111228 to 4 dps.
0.0001
What is 7.4804 rounded to zero dps?
7
Round 15283957 to the nearest 10000.
15280000
Round 0.0371651 to 3 decimal places.
0.037
What is -0.000342796 rounded to 5 dps?
-0.00034
What is -0.00079355811 rounded to 5 decimal places?
-0.00079
What is 287.042 rounded to the nearest 100?
300
What is -0.00039332 rounded to four dps?
-0.0004
What is -274987.37 rounded to the nearest one hundred?
-275000
What is -6224.0108 rounded to the nearest ten?
-6220
Round -62.1995 to 1 dp.
-62.2
What is -0.085047452 rounded to 3 decimal places?
-0.085
Round 0.0737374 to 4 decimal places.
0.0737
What is 0.000003307128 rounded to 7 dps?
0.0000033
What is -4080031000 rounded to the nearest one million?
-4080000000
What is -1061981 rounded to the nearest ten thousand?
-1060000
Round 7457.48 to the nearest ten.
7460
Round -797.0172 to the nearest 100.
-800
Round -2.444049 to one dp.
-2.4
Round -112.11951 to one dp.
-112.1
What is -0.0155366 rounded to two dps?
-0.02
Round -5.8678409 to 2 dps.
-5.87
What is -12886.467 rounded to zero dps?
-12886
What is 86333812 rounded to the nearest 1000000?
86000000
What is 0.0644354 rounded to 4 dps?
0.0644
Round -0.00799954 to 5 decimal places.
-0.008
What is 0.00067677 rounded to 4 decimal places?
0.0007
What is 4764.496 rounded to the nearest integer?
4764
Round 0.0010744036 to 4 dps.
0.0011
What is 0.0003629938 rounded to five dps?
0.00036
What is -0.0000001328608 rounded to 7 decimal places?
-0.0000001
Round -0.00000406296 to 7 decimal places.
-0.0000041
Round 171.354 to the nearest 10.
170
Round 0.0000758201 to 7 decimal places.
0.0000758
What is 0.000001685287 rounded to seven dps?
0.0000017
Round 0.0000003194346 to seven decimal places.
0.0000003
Round 17576.33 to the nearest ten.
17580
Round -0.01698845 to four decimal places.
-0.017
What is -1.539507 rounded to three decimal places?
-1.54
Round -16.1829587 to 3 decimal places.
-16.183
Round 33036310 to the nearest one million.
33000000
What is 6603185 rounded to the nearest 10000?
6600000
Round 6360.828 to the nearest 100.
6400
Round -81733.7 to the nearest 100.
-81700
Round 507118 to the nearest 1000.
507000
Round -0.000374492 to six decimal places.
-0.000374
What is -65480.38 rounded to the nearest one hundred?
-65500
Round -76.1687 to 1 decimal place.
-76.2
What is 0.0453576 rounded to 4 dps?
0.0454
Round -0.7098856 to four dps.
-0.7099
Round 80.626 to 1 decimal place.
80.6
What is 11.80505 rounded to 1 dp?
11.8
What is -99.688 rounded to the nearest ten?
-100
What is 0.00749235 rounded to 6 dps?
0.007492
Round -0.0006129348 to 5 decimal places.
-0.00061
What is 42314.2 rounded to the nearest 10000?
40000
What is -7.23691 rounded to zero decimal places?
-7
What is 0.0010328902 rounded to six decimal places?
0.001033
Round 0.0003736944 to 4 dps.
0.0004
What is 237509.19 rounded to the nearest one hundred?
237500
Round 28.488771 to 2 dps.
28.49
Round -1.214057 to 2 dps.
-1.21
What is 822104100 rounded to the nearest 1000000?
822000000
What is -591775000 rounded to the nearest one million?
-592000000
What is 0.00462412 rounded to 3 decimal places?
0.005
What is -0.000334153 rounded to five decimal places?
-0.00033
Round -0.000019520263 to six dps.
-0.00002
What is 33588.14 rounded to the nearest one thousand?
34000
Round 0.0776423 to two decimal places.
0.08
What is -332871100 rounded to the nearest one hundred thousand?
-332900000
Round -0.00630021 to 3 decimal places.
-0.006
What is -813.3435 rounded to the nearest one hundred?
-800
What is -0.6535477 rounded to 1 decimal place?
-0.7
Round -53769000 to the nearest one million.
-54000000
Round -89424.85 to the nearest one thousand.
-89000
Round 3.121589 to 1 dp.
3.1
What is -26290910 rounded to the nearest 100000?
-26300000
Round -5138.43 to the nearest one hundred.
-5100
Round -82744.08 to the nearest 1000.
-83000
Round -0.000060460886 to five dps.
-0.00006
What is -6818.301 rounded to the nearest one thousand?
-7000
What is -6090139 rounded to the nearest 100000?
-6100000
Round 311.1431 to 1 decimal place.
311.1
What is 116.2435 rounded to one decimal place?
116.2
Round 30835700 to the nearest one hundred thousand.
30800000
Round 0.000956521 to 6 dps.
0.000957
Round -0.0000249075 to six dps.
-0.000025
What is -0.1181372 rounded to four dps?
-0.1181
What is -6.84406 rounded to two dps?
-6.84
Round -4.654311 to the nearest integer.
-5
Round -5943.9364 to the nearest one thousand.
-6000
What is 268780 rounded to the nearest one hundred thousand?
300000
Round -0.00000249022 to seven decimal places.
-0.0000025
What is 810902000 rounded to the nearest one million?
811000000
What is -144997 | {
"pile_set_name": "DM Mathematics"
} |
Expand (-2 + 1 + 0)*(-1 + 1 + 8*t)*((4 - 3 + 0)*(2*t - 4*t + 4*t) + 3*t - t + 0*t).
-32*t**2
Expand (10*j + 4*j**2 - 10*j)*(2 - 2 - j**3).
-4*j**5
Expand (1 - 4 - 2)*(-4*d**3 + 2*d**4 + 4*d**3).
-10*d**4
Expand (2*u - 5*u + u)*(-3 - 2 + 3) - 2*u - 3*u + 3*u - 4 + 4 - u - 3*u + 2*u - 3*u.
-3*u
Expand ((-2 + 5 - 2)*(6*v - 2*v - 2*v) - 2*v + v + 0*v)*(0*v + 0*v - v**2).
-v**3
Expand -4*z + 5*z + 0*z + (3 - 1 - 4)*(-3 + z + 3) + (0 + 0 + 1)*(z + 2*z - 5*z) + 2 - 2 - 4*z.
-7*z
Expand (-5 + 4 - 6)*(-5*p**2 - 2*p**4 + 5*p**2).
14*p**4
Expand (-3*y**2 - y**2 + 2*y**2)*(-9 - 5 + 0 + (-4 - 3 + 5)*(2 - 1 + 1)).
36*y**2
Expand (-5*u + 4*u + 2*u)*(-7 - 5 - 3).
-15*u
Expand 3*s**2 - 5*s + 5*s - s**2 - 2*s**2 + 2*s**2 + (2 - 2*s - 2)*(-8*s + 2*s + 2*s).
10*s**2
Expand (-4 - 2 - 160*j**2 + 159*j**2)*(-j**2 + 2*j + 3*j**2 - j).
-2*j**4 - j**3 - 12*j**2 - 6*j
Expand (1 - 1 - 5)*(-5*t**2 + 4*t - 4*t).
25*t**2
Expand (2*i**3 - i**3 - 2*i**3)*(-5*i**2 - 24 + 24 + 63*i**2).
-58*i**5
Expand (-n**5 + n**5 + n**5)*(1 + 0 - 2)*(4 - 2 - 1).
-n**5
Expand (o + 0 + 0)*((2*o - 4*o + 0*o)*(-3 - 1 + 2) + 2*o - 2 + 2 + 2*o - 2*o + 2*o - 2*o + 4*o - o + 0 + o + 0)*(-3 + 1 + 1).
-10*o**2
Expand (-7*q**4 + 2*q - 2*q)*(2 + 1 + 3).
-42*q**4
Expand (w + w**2 + 0*w**2 - 3*w**2)*(-w**3 + 0*w**3 - 7*w**3).
16*w**5 - 8*w**4
Expand -13*t**4 + 1 - 1 + 0*t + t**4 + 0*t + (-2*t**4 + 3*t**4 + 0*t**4)*(-5 + 5 - 2).
-14*t**4
Expand (6 + 11 - 15)*(-1 + 4 + 1 - 2*l).
-4*l + 8
Expand (2*g + 2*g - 3*g)*(-1 - 4*g + 3*g + 0*g).
-g**2 - g
Expand -52 + 52 + 9*f**3 + (0 + 2 - 3)*(-2*f**3 - 4*f**3 + 5*f**3).
10*f**3
Expand (5*b - 4*b + 9 - 3*b)*(-3 - 1 + 3)*(-3*b + 3*b + b).
2*b**2 - 9*b
Expand 5*o**2 + 2 + o**2 - 2*o**2 + (2*o - 5*o + o)*(-2 + o + 2).
2*o**2 + 2
Expand (6 - 3 - 5)*(q + 0*q - 7*q)*(2*q + 0*q - 3*q).
-12*q**2
Expand (8 + 0 - 1)*(2*r - 1 + 1).
14*r
Expand ((o - o - o)*(2*o**2 - 2*o**2 + 2*o**2) - 6 + 4*o**3 + 6)*((1 - 2 - 1)*(0*o + 2*o + 0*o) + 1 - 1 - 2*o).
-12*o**4
Expand (1 - 2 - 2 + 3*s)*(2*s**3 - 3*s + 3*s).
6*s**4 - 6*s**3
Expand (0*c**2 - c**2 + 0*c**2)*(2 + 0 - 3) + (0*c + 2*c + 0*c + (2 + 2 - 5)*(4*c - 3*c - 3*c) + 2*c - 2 + 2 - 4*c + 0*c - 4*c)*(-5*c + c + 2*c).
5*c**2
Expand (11*l**3 - 108*l + 108*l)*(-3*l**2 + l**2 + 4*l**2).
22*l**5
Expand (2*x - 3 + 3)*(-2 + 3 - 3) - 3*x + 0 + 0 - 3*x + 0 + 0*x - 3.
-10*x - 3
Expand (128*w - 63*w - 69*w)*(-2 - 2 + 2).
8*w
Expand (-20*j**3 + 6*j**3 - 70*j**3)*(0*j + 2*j**2 + 0*j).
-168*j**5
Expand (-5*b + 5*b - 3*b)*(0*b**3 - 2*b**3 + 3*b**3) + (6*b**3 + 0*b**3 - 4*b**3)*(-3 + 3 + 2*b) + 3*b - 3*b + 5*b**4.
6*b**4
Expand (-5*i + 56 - 56)*(2*i - 2*i + 3*i**3).
-15*i**4
Expand (-2*i**2 - 2*i**2 + 2*i**2 - i**2 + 0*i**2 - i**2 + 2*i**2 + i**2 - 2*i**2 + (0*i**2 + i**2 + i**2)*(2 + 4 - 4))*(0*i + 2*i - i) + 5*i**3 - 3*i + 3*i.
6*i**3
Expand (-2*m**3 + 0*m**3 + 4*m**3)*(3*m**2 + 2*m - 2*m) + (0*m + 2*m - 3*m)*(-4*m**4 + 6*m**4 - m**4) + 4*m**5 + m**3 - m**3.
9*m**5
Expand -2*p**4 - 3*p**4 - 4*p**4 + (2 - 2 + 2)*(-p + p - 2*p**4) + (2*p**4 + 0*p**2 + 0*p**2)*(-2 - 2 + 5).
-11*p**4
Expand (5*n - 6*n + 6*n)*(4 - 3 + 5).
30*n
Expand (4 - 4 + 4)*(0*a + 2*a + 0*a) - 1 - 1 + 11*a - 10*a.
9*a - 2
Expand (-3*w + 0*w + w)*(7 + 8 - 11)*(w - 4*w + w).
16*w**2
Expand (f - 2 + 2)*(-21*f**2 + 6*f**2 + 11*f**2 + 3*f**3).
3*f**4 - 4*f**3
Expand (-2*l**2 + 0*l + 0*l)*(-1 + 0 + 3)*(l + 3*l - l)*(-5 + 2 - 1).
48*l**3
Expand (4*r - 2*r**2 - 4*r)*(7*r - 6 + 6) + 2*r**3 - r**3 + 0*r**3 + r + 2*r**3 - r + (0*r**3 + 2*r**3 - 3*r**3)*(-1 - 1 + 0).
-9*r**3
Expand (0 + p + 0)*(4*p**3 + 0*p**3 - p**3) - p - p**4 + p + (-5*p + 3*p**2 + 5*p)*(-2*p**2 + 3*p**2 - 3*p**2).
-4*p**4
Expand (-3*u**4 - 4*u**4 + 6*u**4)*(2*u + 4 - 3 + 29*u).
-31*u**5 - u**4
Expand (0*z**4 + 2*z**4 - 4*z**4)*(1 + 2 - 1).
-4*z**4
Expand (-6*f + 2*f + 0*f)*(-6*f**3 - 4*f + 0*f**3 + 7*f**3).
-4*f**4 + 16*f**2
Expand (3*r**2 + 0*r**2 + 0*r**2)*((4 - 4 - 2*r)*(-5*r + 4*r + 0*r) + (-1 + 2 + 1)*(0*r**2 - r**2 - r**2)).
-6*r**4
Expand ((39 - 92 + 40)*(-2*w**3 + 2*w**3 - w**3) + 3*w**3 - w**3 - w**3)*(11*w**2 - w**2 - w**2).
126*w**5
Expand (-r + 4 - 4)*(5*r - 6*r + 5*r)*(-r + r**2 + r + 2*r**2 - 3*r**2 + 3*r**2 + (r**2 - 2*r + 2*r)*(-1 + 0 + 3) - r + 6*r**2 + r).
-44*r**4
Expand -n + 0 + 0 + (0 + 3 - 4)*(n + n - 3*n) + 20*n + 12*n - 9*n.
23*n
Expand -t + t - t**3 + 6*t**3 - 35*t + 35*t + (-t + 4 - 4)*(-2*t**2 + 2*t**2 + t**2).
4*t**3
Expand (1 + 2 - 4)*(-8*m + 0*m + 3*m).
5*m
Expand -3*d**2 + 2*d**2 + 3*d**2 + (-2*d - 3*d + 4*d)*(-6*d + 4*d + 0*d) + d - 2*d**2 - d + 3 - 3 - d**2.
d**2
Expand (-3*k + 2*k + 0*k)*(1 + 2*k - 1)*(-6 - 2 + 3) + 4*k**2 - 3*k**2 + 2*k**2.
13*k**2
Expand (-15 + 1 + 6)*(-2*s**3 - 1 + 1)*(4*s**2 + 0*s**2 - 2*s**2).
32*s**5
Expand ((0*b - 3*b + 2*b)*(4 - 4 - b) + (1 - 4 + 1)*(44 - 1 + 15)*(3 - 3 + 2*b**2))*(-5*b - b**2 + 5*b).
231*b**4
Expand ((-2*a + 6*a - 2*a)*(2 - 2 - a**2) - 17*a**3 + 5*a**2 - 5*a**2)*(-3*a**2 - 1 - a + a) + 1 - 1 + 2*a**5.
59*a**5 + 19*a**3
Expand (m - 2 + 2)*(0 - 3 + 0)*(1 + 3 - 3).
-3*m
Expand (5 - 1 - 2)*(-2*v**2 - 83 + 0*v + 81 - 2*v).
-4*v**2 - 4*v - 4
Expand (-3*u + u + 0*u)*(-3 - 2 - 7).
24*u
Expand 3*t + 2*t + t + (t - 2*t - t)*(4 - 1 - 1).
2*t
Expand (1 - 1 + 2*r)*(4 - 2 + 0)*(6 - 3 - 1).
8*r
Expand (3*b**2 + 2*b**2 - 3*b**2)*(1 - 2 + 2).
2*b**2
Expand (10*k**2 + 3 - 3)*(-3 + 3 + k - 1).
10*k**3 - 10*k**2
Expand -1 + 1 + k + 5*k - 3*k + k + (2*k - 6*k + 3*k)*(-2 + 2 + 2) - k - k + 3*k.
3*k
Expand -3*x**2 - 2*x**2 + 4*x**2 + (4*x + x - 3*x)*(-2 + 2 + x) - 2*x - 7*x**2 + x + 14*x**2.
8*x**2 - x
Expand (-2*t - 1 + 1)*(-t + 3*t + 4*t - 3*t + 0*t + t + (-1 + 3*t + 1)*(2 + 1 - 2)).
-14*t**2
Expand (-g + 0*g + 3*g)*(-2*g + 0*g + 5*g) + (-5*g + 0*g + 6*g)*(-3*g - 2*g + 4*g) + 2*g**2 + 2 - 2.
7*g**2
Expand (-3 + 3 - 2)*(-11*g - 24*g + 10*g).
50*g
Expand (d + 0 + 0 + (-3*d + d + 4*d)*(-1 + 1 - 2))*(-3 + 2 + 2)*(d**2 + 0*d**2 - 2*d**2).
3*d**3
Expand (6*g + 0*g - 3*g)*((-2*g - 2 + 2)*(-1 + 1 + 2) - 1 - 2*g + 1 + 1 - 1 - 2*g + (-4*g + 12*g - g)*(2 + 0 + 0)).
18*g**2
Expand (-u - u + 0*u)*(7 + 2 - 6)*(-4*u + 0*u + 3*u).
6*u**2
Expand -p**5 + 5*p**2 - 5*p**2 + p**5 + 0*p**5 - 3*p**5 + (p**3 + p - p)*(4*p**2 + 0*p**2 + 0*p**2) + (0 + 0 + 2*p)*(5*p**4 - 4*p**4 - 3*p**4).
-3*p**5
Expand 484 + 41*i - 484 + 2*i - 4*i + 0*i + (3 - 4 + 0)*(3 - 3 - i) - 1 + 2*i + 0*i + 3.
42*i + 2
Expand (k**3 + 2*k**3 - 2*k**3)*(0*k**2 - 4*k**2 + 2*k**2) + 86*k**2 - 45*k**2 - 40*k**2 - 16*k**4 - 2*k**5.
-4*k**5 - 16*k**4 + k**2
Expand (-3 - 2 + 2)*(-5*d**2 + 2*d**2 + 2*d**2)*(9 - 9 + 7*d).
21*d**3
Expand (-2*k**2 + 1 - 1)*(-5*k**3 + 5*k**3 - 2*k**3).
4*k**5
Expand (2 - 7 + 3)*(0*g**5 + 0*g**5 + 2*g**5 + 0*g**5 + g**5 + 6*g**5 + 4*g**2 + (-g**4 + 3*g - 3*g)*(-3 + 3 + g) + 2*g**5 + g - g).
-20*g**5 - 8*g**2
Expand (20*d + d + 5*d)*(3*d**4 - 3*d**4 - 2*d**4).
-52*d**5
Expand (4*z + 2*z - 4*z)*(-7 + 3*z + 7)*(0 + 0 + 2*z**2).
12*z**4
Expand (j + 2*j - j)*(2*j - 4*j + 4*j + (4 - 4*j - 4)*(3 - 3 + 3)).
-20*j**2
Expand (7*i**2 - 7*i**2 - 5*i**3)*(0 + 0 + 1)*(-5 + 25 + 2).
-110*i**3
Expand (0*p + p - 12*p)*(4*p**4 + 3*p**4 - 2*p**4 + 20*p**4).
-275*p**5
Expand ((2 - 3 - 1)*(-s - 3*s + 3*s) + 3*s - 3*s + s + (0 + 2 - 1)*(2*s + 0*s - 4*s) + (-4*s + 3*s + 3*s)*(1 + 0 + 1))*(0*s - 2*s + 4*s).
10*s**2
Expand -8 + 8 + 5*d**3 + (4 - 4 - 2*d**2)*(-3*d - 2*d + d) - 3*d**2 + 3*d**2 - 2*d**3.
11*d**3
Expand (3*m**2 - m**2 + 0*m**2)*(-1 + 1 + 2*m**2) + (2*m - 2*m + 3*m)*(-2*m**3 - 3*m**3 + 2*m**3).
-5*m**4
Expand (5 - 1 - 1)*(7*v - 3*v + 2*v)*(4*v - 5*v + 0*v + (-2*v - 2 + 2)*(0 + 2 + 0) - 6*v + 3*v + v - v + 1 - 1 + 3 - 3 - v).
-162*v**2
Expand 4*i - 6*i + i + (-4 + 3 + 2)*(-2*i + 3*i - 2*i) - i + 0*i + 3*i - i - i + 0*i + (4 - 4 + i)*(2 - 2 - 2) + 0*i + i - 2*i + 2*i - 2*i + 4*i.
-i
Expand (2*n - 4 + 0*n + 2)*(4 - 3 + 1)*(6 - 3 - 1).
8*n - 8
Expand (1 - 1 - t)*(-3*t + 3 - 3) - 7*t - 2*t**2 + 53 - 53 - 2*t**2 - t**2 + 4*t**2 + 2*t + t**2 - 2*t + (0*t + t + t)*(2*t + 0 + 0).
7*t**2 - 7*t
Expand (-3*i + 3*i + i**2)*(5 + 5 - 5)*(0*i + 2*i - i).
5*i**3
Expand (-3 - 2 + 4)*(11*z**4 + 3*z - 2*z**4 - 5*z**4).
-4*z**4 - 3*z
Expand (-4*y**3 + 2*y**3 + 4*y**3)*(-4*y**2 + 4*y**2 - y**2) + (y - 2*y - 12*y)*((5 - 5 + y**4)*(-1 + 0 - 1) - y**4 - 3*y**3 + 3*y**3).
37*y**5
Expand (-1 + 1 - v)*(-3*v - 2*v + 2*v - 1 + (3 + 2*v | {
"pile_set_name": "DM Mathematics"
} |
posite number?
False
Let m(r) = r - 12. Let n be m(0). Is (-8958)/(-22) - n/(-66) composite?
True
Let w(j) be the third derivative of 1/3*j**3 + 0*j + 0 + 7*j**2 + 3/20*j**5 + 7/24*j**4 - 1/120*j**6. Is w(9) composite?
True
Suppose -79*u + 4404598 = -2582241. Is u a prime number?
False
Let h(k) = 448*k - 7. Let w(r) = r**3 + 7*r**2 - 21*r - 25. Let z be w(-9). Is h(z) a prime number?
False
Let c = -257 + 461. Let l(v) = 5*v + 59. Let h be l(-11). Suppose h*s + 0*s - c = 0. Is s a composite number?
True
Let j = 33 - 27. Is 4/j - 6313/(-3) prime?
False
Suppose 190296 + 779779 = 25*y. Is y prime?
True
Let o = 51 - 36. Let r be 10/(-25) + (-294)/o. Let j = 907 + r. Is j prime?
True
Suppose 0*d + 3*d + 5*u - 763 = 0, -4 = u. Suppose -6*q + d = -717. Is q prime?
True
Let r = 1822 - 665. Is r a prime number?
False
Let x(k) = 2*k**3 + 3. Let i(g) = -g**3 - 8*g**2 - 7*g + 5. Let q be i(-7). Is x(q) a composite number?
True
Suppose 119955 = 30*g - 25*g - 5*m, 5*g + 2*m = 119969. Is g composite?
False
Let h = 9358 - -2871. Is h prime?
False
Suppose 3*z = -4*q + 58858, -14*q - 5*z = -18*q + 58874. Suppose 10*l + q = 69566. Is l composite?
True
Suppose 3*o + h - 6281 = 3*h, 3*h + 2089 = o. Suppose 0 = 3*s - 3*j - 254 - o, 5*s = j + 3899. Suppose -4*q = 5*l - 1997, -2*l + 2*q + 3*q = -s. Is l composite?
False
Suppose 22*q = 134925 - 6291. Is q a prime number?
False
Suppose 5*c + 3*k = 3*c + 55660, k = -5*c + 139137. Is c composite?
False
Let d = 6 + -2. Let s = d + -2. Suppose -m = -5*w + 414, -3*w + 0*m = s*m - 251. Is w prime?
True
Let i be ((-2)/4)/(1/(-6)). Suppose i*t = 6, -3*z + t - 3 = -10. Suppose -3*l - 4*y = -1749, -y - 534 = -z*l + 1230. Is l a composite number?
False
Let x(k) = 483*k - 1. Let r(q) = -242*q + 1. Let l(a) = -7*r(a) - 3*x(a). Is l(3) prime?
False
Let t(n) = 424*n**2 - 13*n + 5. Is t(4) a prime number?
True
Let d(x) = x**3 + 12*x**2 + 10*x - 10. Let a be d(-11). Suppose -3*t + 2*b = a - 150, 3*b = t - 59. Is t composite?
False
Let z = 31 - 16. Suppose -2*m - 18 = -4*s, 5*m + 3 = s - z. Is 586/s*(-3)/(-2) prime?
True
Let f be -166*(0 + -3 - 49/14). Let m = -514 + f. Is m prime?
False
Let f be (-4)/(-20) - 2/10. Suppose 0*n - 4*y - 8 = 4*n, -12 = 3*y. Suppose -2*k + f = -n, -5*k = -3*j + 58. Is j prime?
False
Let p(n) = 25*n - 2. Let d(l) = -l + 1. Let u be d(-1). Let q(w) = -25*w + 1. Let r(a) = u*q(a) + 3*p(a). Is r(9) prime?
False
Suppose 4*z + 24 = 8*z. Suppose -z*s - 2*s = -80. Is s a prime number?
False
Suppose -1 - 2 = -u. Let q be (-2 - -3)/(u/(-15)). Let i(b) = -2*b + 1. Is i(q) a prime number?
True
Suppose m + 3 = 6. Suppose -10 = m*n + 2. Is (-45)/60 - 479/n a prime number?
False
Let v(d) = d**3 - d + 7*d**2 - 1 + 6*d - 2. Let f be v(-5). Suppose 3*u = 3, 20 = 3*b - 3*u - f. Is b prime?
False
Suppose -21*u + 30575 = 4*u. Is u composite?
False
Let x be (-931)/(-114) - 1/6. Let v = -4 + x. Suppose 6*u - 406 = v*u. Is u prime?
False
Suppose 0 = -12*w - 0*w + 48. Suppose 106717 = 17*v - w*v. Is v a prime number?
True
Let b = -153639 - -224348. Is b a composite number?
False
Let w be -26938 + (-5 - (-4 - -3)). Is 6/(-36) - w/12 prime?
False
Suppose 0 = n + 4*g - 3, -3*n = -5*g - 3 - 6. Suppose -4*z - 7016 = -5*q, 5*q + n*z - 7024 = -z. Suppose 3*x - q = 2427. Is x a prime number?
True
Suppose -36 = -5*w + 74. Suppose -c = c - w. Let o(h) = h**3 - 10*h**2 - 12. Is o(c) a composite number?
False
Let g = -5347 + 9348. Is g composite?
False
Let m(o) = o**2 - 11*o + 10. Let w be m(10). Suppose 0 = 3*j - w*j - 1005. Suppose 0 = -3*v, -5*v - 81 + j = 2*c. Is c a prime number?
True
Let f(v) = -8*v + 36. Let d be f(6). Is (0 + (-3466)/8)*d/3 composite?
False
Let v be 51/(-85) - 56/(-10). Suppose 2*q - 3867 = -v*o, q + 5*o - 1933 = 3*o. Is q prime?
True
Let z = 6132 + -2615. Is z a prime number?
True
Let k = 70 + -68. Suppose 0*j + 3*u + 2680 = k*j, -4009 = -3*j - u. Is j prime?
False
Suppose 4*r - 5*r = -5. Let x be 876/6 + r + -2. Is x - (-6 + 3 - -3) a prime number?
True
Let f = -1154 + 726. Is -4 - (1/(1/2) + f) a composite number?
True
Let f(a) = a - 4. Let w be f(9). Suppose -164 = -w*n + 2*b, 2*b - 3*b = -3. Is n a prime number?
False
Let r(w) = w**2 + 3*w + 4. Let i be r(-5). Suppose -5*t = -251 - i. Suppose -v - 418 = -2*c + t, -3*v + 9 = 0. Is c a composite number?
True
Let a(h) = -h**3 - 14*h**2 - 2*h - 28. Let w be a(-14). Suppose 4*k + p - 4852 = -p, -4*p = w. Is k prime?
True
Let m = 18452 + -10825. Is m composite?
True
Let t(m) = 5094*m + 329. Is t(8) a prime number?
True
Suppose 0 = -7*g + 5*g - 198. Let o = -66 - g. Is o prime?
False
Suppose 4*g = 2*g + 188. Let f = 155 - g. Let z = 21 + f. Is z a composite number?
True
Suppose -15*p = -11*p. Let i(f) = f + 0*f - 2*f + 247. Is i(p) a prime number?
False
Let s be (-8183)/(-3) - 2/(-6)*-2. Suppose -q - s = -5*t + 3*t, 2*t - 4*q - 2742 = 0. Is t prime?
True
Let x(b) = b**2 - 10*b + 8. Let h be x(9). Let v be (-8 - -26) + 2 + h. Suppose -u + 4*k + v = 0, -5 - 48 = -2*u + 3*k. Is u a composite number?
False
Let p(a) = 2*a**2 - 6*a - 517. Is p(64) a composite number?
True
Suppose -s + 3*u + 1552 = 0, 4*u - 599 + 3697 = 2*s. Is s a prime number?
True
Suppose 21*k + 2 = 22*k. Suppose -k*n = 4*j - 6230, -5*n + 11617 = j - 3949. Is n a prime number?
False
Let c(d) = -d**3 - 5*d**2 + 6*d - 2. Let w = -11 - -5. Let l be c(w). Is (-3 - 158/l) + 1 prime?
False
Suppose 0*c + 4*c - 2*v + 842 = 0, v = 4*c + 837. Let k = c + 374. Is k composite?
True
Suppose -8*t + 124010 = 2*t. Is t composite?
False
Let r(g) = -8*g**2 + 7. Let i(q) = -q**3 - q + 1. Let l(p) = i(p) + r(p). Let u be l(-9). Let d = -59 + u. Is d a composite number?
True
Suppose -6*q = -q. Suppose -3*n - 5*c - 405 + 4714 = q, -3*c = -n + 1427. Suppose 3*b - 2*b = 3*v - n, -5*b = 4*v - 1936. Is v prime?
True
Let r = 44 - 40. Is r/(-24) + (-16790)/(-12) a prime number?
True
Let n = 5819 - -12300. Is n a prime number?
True
Let t be (5/(-2) - 2)*-2. Suppose t*l = 4*l - 3*a + 287, -5*l = -2*a - 292. Is l prime?
False
Let z(i) = i - 1. Let k be z(5). Let q = k - 5. Let j = q + 14. Is j a composite number?
False
Suppose -4*s + s - 37705 = -4*w, 0 = -3*w + 5*s + 28276. Let m = 1420 + w. Is m a prime number?
True
Suppose -4*s = 2*y + 280406, -5*s - 370640 = y - 20134. Is (4/(-6))/((-6)/s*-1) composite?
False
Let q(l) = 1895*l + 30. Let u be q(-7). Is (-3)/(-12) + u/(-20) a composite number?
True
Suppose i - 106 - 4087 = 0. Is i composite?
True
Suppose -s = 5*x - 1240, 3*x - 962 = -4*s - 235. Let t be 4/(2*2/(-58)). Let v = x + t. Is v prime?
True
Let q(r) = r**2 - 4 - r**3 + 5*r - 6 + 4. Suppose s + 0 - 3 = 2*h, -4*h - 21 = s. Is q(s) composite?
True
Suppose -824 = -3*h - 5*u, 5*u = -6*h + 2*h + 1092. Suppose -7*j - h = -8*j. Let g = j - 185. Is g prime?
True
Let c = -13884 + 24689. Is c a composite number?
True
Let x = 953 + 558. Is x prime?
True
Suppose -83530 = -0*y - 10*y. Is y composite?
False
Suppose 4*y - 4*o - 18 = 14, -3*y = -4*o - 27. Is 2/5 - (-1533)/y composite?
False
Let r = 21570 + -5669. Is r composite?
False
Let h(w) = -1326*w - 53. Is h(-16) composite?
False
Suppose -4*x = -3*r - 5*x + 11, -3*x = -2*r. Suppose 5 = r*h + 2*n, 2*h - 4*n + 0 = -2. Let b = h - -20. Is b prime?
False
Suppose 3*t - 3 = 6, 5*t = -5*c - 45. Let j = -12 - c. Suppose 0 = -2*n - j*n - f + 66, 89 = 3*n - f. Is n prime?
True
Let g(r) = 3 + 5*r**2 - 2*r**2 - 3*r**3 - 7. Let v be g(-8). Suppose -11*h + v = -7*h. Is h composite?
False
Suppose -2*o + 1993 = 2*l - 71, -3*l + 12 = 0. Let j be 38/14 - 2/(-7). Suppose 7*a = j*a + o. Is a prime?
True
Let k be (1 - 1)/(-2 + 0). Suppose k = -4*r - 3*t + 3896, 5*r - 1733 - 3148 = -t. Is r composite?
False
Suppose 7*t + 862490 = 17*t. Is t prime?
True
Suppose 3*q + 2*q - 5 = 0, -2*a + 3 = -q. Suppose a*v - 4*v + 812 = 0. Suppose -4*y - v = -1250. Is y a composite number?
False
Suppose -2*k = 4*z + 22, 4*z = 3*z - k - 7. Let b be z/16 - 2189/(-4). Suppose -138 - b = -q. Is q a composite number?
True
Suppose -2*h - 6 = -5*c + 2*h, 4*h = -5*c + 14. Suppose -w = -c*d - 3*w - 64, -w + 24 = -d. Is (-8)/d + (-14715)/(-21) a prime number?
True
Let h = 491 + -52. Is h a prime number?
True
Let w = 5 + -5. Suppose 4*u - 3696 = 2*a + 2*a, w = -3*a + 2*u - 2773. Let y = -426 - a. Is y a prime number?
True
Let c = -333 | {
"pile_set_name": "DM Mathematics"
} |
1, 503, 74419
What are the prime factors of 317040799?
317040799
What are the prime factors of 11921087?
11921087
What are the prime factors of 3754168255?
5, 1987, 377873
List the prime factors of 2362022592.
2, 3, 53, 232117
What are the prime factors of 21529432?
2, 19, 139, 1019
What are the prime factors of 1784738109?
3, 7, 11, 7726139
List the prime factors of 1489648056.
2, 3, 13, 4774513
List the prime factors of 890911873.
890911873
What are the prime factors of 655576571?
13, 50428967
What are the prime factors of 42526896?
2, 3, 885977
What are the prime factors of 7176119239?
61, 117641299
What are the prime factors of 342523740?
2, 3, 5, 13, 439133
What are the prime factors of 28374735?
3, 5, 73, 25913
What are the prime factors of 157965950?
2, 5, 37, 103, 829
List the prime factors of 129914049.
3, 43304683
List the prime factors of 40254783.
3, 197, 68113
What are the prime factors of 417623350?
2, 5, 8352467
List the prime factors of 973302758.
2, 486651379
What are the prime factors of 3604326246?
2, 3, 6521, 30707
What are the prime factors of 254356670?
2, 5, 59, 7307
List the prime factors of 155840709.
3, 23, 2258561
List the prime factors of 282447401.
17, 41, 311, 1303
What are the prime factors of 18272728?
2, 563, 4057
What are the prime factors of 92130878?
2, 7, 71, 13241
List the prime factors of 365425729.
877, 416677
What are the prime factors of 21171566?
2, 13, 29, 43, 653
What are the prime factors of 162287028?
2, 3, 1069, 4217
List the prime factors of 140333551.
140333551
What are the prime factors of 966067494?
2, 3, 7, 4793, 4799
List the prime factors of 79736226.
2, 3, 41, 324131
What are the prime factors of 132822229?
1933, 68713
What are the prime factors of 2713716?
2, 3, 25127
List the prime factors of 1931521572.
2, 3, 17, 1052027
List the prime factors of 44071056.
2, 3, 306049
What are the prime factors of 347566289?
7, 1597, 31091
What are the prime factors of 27211053?
3, 9070351
What are the prime factors of 2163023015?
5, 53, 8162351
List the prime factors of 1976173437.
3, 7, 73, 487, 2647
List the prime factors of 666210718.
2, 19, 131, 133831
What are the prime factors of 5473771?
43, 127297
What are the prime factors of 227622453?
3, 2341, 32411
List the prime factors of 31207357.
31207357
List the prime factors of 561054794.
2, 643, 436279
What are the prime factors of 6108022089?
3, 13, 17, 3070901
List the prime factors of 1130258554.
2, 565129277
List the prime factors of 642988.
2, 23, 29, 241
List the prime factors of 579876199.
7, 29, 43, 66431
What are the prime factors of 6874692?
2, 3, 11, 52081
List the prime factors of 21872841.
3, 7290947
What are the prime factors of 605997495?
3, 5, 19, 43, 53, 311
List the prime factors of 2393464.
2, 17, 17599
List the prime factors of 8381550.
2, 3, 5, 71, 787
What are the prime factors of 79281473?
79281473
What are the prime factors of 78503562?
2, 3, 1907, 2287
What are the prime factors of 4024999874?
2, 7, 287499991
List the prime factors of 3377952831.
3, 11, 163, 491, 1279
What are the prime factors of 521727654?
2, 3, 7, 17, 53, 811
What are the prime factors of 366583533?
3, 122194511
List the prime factors of 1457803598.
2, 728901799
List the prime factors of 249876099.
3, 11, 41, 61561
What are the prime factors of 451233172?
2, 13, 281, 30881
List the prime factors of 5328126384.
2, 3, 7, 29, 313, 1747
What are the prime factors of 62985417?
3, 11, 157, 12157
What are the prime factors of 272063490?
2, 3, 5, 541, 16763
List the prime factors of 281238418.
2, 19, 1877, 3943
What are the prime factors of 93220586?
2, 71, 656483
List the prime factors of 98720155.
5, 19744031
List the prime factors of 53378487.
3, 17, 116293
List the prime factors of 23851665.
3, 5, 67, 293
List the prime factors of 259114985.
5, 51822997
List the prime factors of 242010872.
2, 30251359
List the prime factors of 396270720.
2, 3, 5, 89, 773
What are the prime factors of 195271920?
2, 3, 5, 271211
List the prime factors of 217183094.
2, 108591547
What are the prime factors of 761798936?
2, 47, 2026061
List the prime factors of 2260106289.
3, 7, 1193, 30071
What are the prime factors of 165569772?
2, 3, 13797481
List the prime factors of 5941400148.
2, 3, 709, 232777
What are the prime factors of 158664846?
2, 3, 191, 138451
What are the prime factors of 3410385666?
2, 3, 1429, 397759
What are the prime factors of 20331641?
11, 1848331
List the prime factors of 2779579.
11, 71, 3559
List the prime factors of 43001235.
3, 5, 401, 2383
List the prime factors of 4172491822.
2, 2086245911
List the prime factors of 9064057844.
2, 19, 119263919
List the prime factors of 16341097.
17, 961241
What are the prime factors of 181000356?
2, 3, 15083363
List the prime factors of 5572984442.
2, 4733, 588737
What are the prime factors of 3495954956?
2, 13, 5171531
What are the prime factors of 30722493?
3, 443, 23117
List the prime factors of 25905227.
19, 1363433
What are the prime factors of 69246705?
3, 5, 11, 73, 5749
What are the prime factors of 101580525?
3, 5, 17, 26557
What are the prime factors of 42108417?
3, 13, 39989
What are the prime factors of 613787807?
101, 491, 12377
What are the prime factors of 82843296?
2, 3, 37, 83, 281
List the prime factors of 718546534.
2, 359273267
List the prime factors of 280385205.
3, 5, 83, 113, 1993
What are the prime factors of 203189528?
2, 739, 34369
What are the prime factors of 7802963?
7, 1114709
What are the prime factors of 1609789031?
11959, 134609
List the prime factors of 58460776.
2, 11, 113, 5879
What are the prime factors of 2979410057?
13, 229185389
List the prime factors of 2360933941.
173, 599, 22783
What are the prime factors of 958882363?
61, 15719383
What are the prime factors of 739620868?
2, 7, 571, 46261
List the prime factors of 120170633.
11, 277, 39439
What are the prime factors of 1382948585?
5, 43, 337, 19087
What are the prime factors of 62231636?
2, 15557909
What are the prime factors of 27739483?
27739483
List the prime factors of 963768635.
5, 19, 10144933
List the prime factors of 212603103.
3, 19, 414431
List the prime factors of 6561254146.
2, 3280627073
List the prime factors of 155287038.
2, 3, 19, 71693
What are the prime factors of 6885957492?
2, 3, 1663, 115019
List the prime factors of 2577335724.
2, 3, 71592659
What are the prime factors of 435646694?
2, 7, 31117621
What are the prime factors of 2600401953?
3, 643, 769, 1753
List the prime factors of 65564231.
19, 3450749
What are the prime factors of 788132849?
7, 112590407
What are the prime factors of 210049312?
2, 11, 409, 1459
List the prime factors of 136324910.
2, 5, 23, 47, 12611
What are the prime factors of 2466425670?
2, 3, 5, 509, 161521
What are the prime factors of 79532402?
2, 751, 52951
List the prime factors of 58806265.
5, 7, 1680179
List the prime factors of 502964879.
3389, 148411
What are the prime factors of 2687667683?
17, 53, 103, 28961
What are the prime factors of 14204617?
7, 149, 13619
What are the prime factors of 71112829?
71112829
List the prime factors of 996650636.
2, 17, 14656627
What are the prime factors of 1095582676?
2, 1097, 249677
What are the prime factors of 277691142?
2, 3, 37, 139, 8999
What are the prime factors of 4422420045?
3, 5, 32758667
What are the prime factors of 1741005989?
17, 5501, 18617
What are the prime factors of 203955189?
3, 2267, 29989
What are the prime factors of 1403902?
2, 701951
List the prime factors of 662999911.
7, 61, 1552693
List the prime factors of 400181507.
11, 2803, 12979
What are the prime factors of 45064465?
5, 9012893
List the prime factors of 17702164.
2, 4425541
What are the prime factors of 1006081095?
3, 5, 491, 136603
What are the prime factors of 71840494?
2, 11, 3265477
What are the prime factors of 43385909?
7, 239, 25933
What are the prime factors of 3970630996?
2, 137, 7245677
What are the prime factors of 363837778?
2, 59, 3083371
What are the prime factors of 4165256?
2, 19, 67, 409
List the prime factors of 72323209.
7, 10331887
What are the prime factors of 48449398?
2, 211, 114809
What are the prime factors of 116666213?
19, 2311, 2657
List the prime factors of 4223185654.
2, 2111592827
What are the prime factors of 28909 | {
"pile_set_name": "DM Mathematics"
} |
econd derivative of q**4/3 + 16*q**3 + 2*q**2 + 87*q + 1. What are the prime factors of w(-28)?
2, 113
Let y = 3 + -5. Let w(s) be the third derivative of -s**6/8 + s**5/20 + 5*s**4/24 + 25*s**2 - 3*s. What are the prime factors of w(y)?
2, 61
Let w(o) = -2*o - 2. Let s be 238/56 - (-2)/(-8). Suppose -3*k - 21 = s*v, -5*v - 35 = -0*k - 5*k. What are the prime factors of w(v)?
2, 5
Let z be (1 - 255)*(-4)/(1 - -7). Let s = z + -73. List the prime factors of 3576/s + 6/(-27).
2, 3, 11
Let d(t) = -t**3 - 7*t**2 - 4*t - 7. Let a be d(-8). Suppose -j = 5*f + a, -2*j + 4*f = -j + 71. Let k = 115 + j. List the prime factors of k.
2, 3
Let b be (2/3)/(354/(-90) + 4). Let m = 14 - b. Suppose 3*g + 3*z = 330, m*z + z + 227 = 2*g. List the prime factors of g.
3, 37
Suppose -141743 = 69*d - 300758 - 179637. List the prime factors of d.
2, 3, 409
Let d = 244 + -410. Let t = d + 247. Let y = -53 + t. What are the prime factors of y?
2, 7
Let b = 64078 - 26625. What are the prime factors of b?
13, 43, 67
Let q(y) = 26*y**2 + 4*y - 12. Let j be q(2). List the prime factors of j/15*30/1.
2, 5
Let k(d) = 120*d**2 - 10*d + 43. Suppose 0 = 28*i - 17 - 67. What are the prime factors of k(i)?
1093
Let f = -156 + 153. What are the prime factors of 5/50 + (-1239)/30*f?
2, 31
Let i(d) = d**2 + 5*d + 9. Let x be i(-2). Suppose -53 - 13 = -x*b. Suppose -n + b + 80 = 0. List the prime factors of n.
2, 3, 17
Let q = 6823 - 2081. What are the prime factors of q?
2, 2371
Let y(g) = -g**2 - 172*g**3 - 1 - 2 - 2 - 2. What are the prime factors of y(-2)?
3, 5, 7, 13
Let o be (-16)/16*(5 - 0). List the prime factors of o - (4 - (375 - -2)).
2, 23
Suppose 5*h + k = 45, -3 + 18 = -h - 5*k. Suppose -5*q = 4*p - 6221, h*q - 5*p + 2485 = 12*q. What are the prime factors of q?
3, 5, 83
Let o(d) = -3*d**3 - 19*d**2 - 13*d + 21. List the prime factors of o(-23).
2, 5, 2677
Suppose 0 = -21*w + 46108 + 171956. Suppose -s + 23*s - w = 0. What are the prime factors of s?
2, 59
Let m = -699 + 3042. What are the prime factors of m?
3, 11, 71
Let a(y) = -2 + 4 + 28*y + 11 - 1. Let c be a(8). Suppose -c = 66*b - 68*b. What are the prime factors of b?
2, 59
Let a be ((-3429)/(-36))/(2*1/(-8)). Let j be ((-2)/(-3))/((-2)/a). Suppose -5*m = -25, j + 612 = 4*i + 3*m. List the prime factors of i.
181
Let h = -1720 + 5393. What are the prime factors of h?
3673
Suppose 19*v + 0*v - 183737 = -12*v. What are the prime factors of v?
5927
Let c be (((-45)/12)/5)/((-1)/28). Let q = 27 - c. Suppose -294 = -q*w - w. What are the prime factors of w?
2, 3, 7
Let x(y) be the second derivative of -y**4/12 - 5*y**3/2 + 3*y**2/2 + 13*y. Let o be x(-9). Let j = -41 + o. What are the prime factors of j?
2
Suppose -2*c - 15*u = -12*u - 37, 51 = 3*c + 3*u. What are the prime factors of (-12)/c*(-18305)/10?
3, 523
Let l(m) = -579*m + 378. List the prime factors of l(-13).
3, 5, 17, 31
Suppose 359*z = 354*z + 760. Let c = -130 + z. What are the prime factors of c?
2, 11
Let f(x) = -x**3 + 8*x**2 + x + 9. Let o(n) = 4*n**2 - 2. Let k be o(1). Suppose w = -k*c + 6 - 2, 6 = -3*c. What are the prime factors of f(w)?
17
Let i be (-90)/(-25) - 4 - 8976/(-15). Let b = -273 + i. List the prime factors of b.
5, 13
Let t = -300 - -306. Suppose t*s = 2*s + 3*g + 1581, -5*s + 3*g = -1977. What are the prime factors of s?
2, 3, 11
Let r = 67 - -47. Let n = r + -112. Suppose n*i = 2*h + 424, -713 = -4*i - 4*h + 127. What are the prime factors of i?
211
Let j = -277 - -280. Suppose j*s - 210 + 75 = 0. List the prime factors of s.
3, 5
Let p(i) = -59*i - 306. Let t be p(-51). Let y = 3916 - t. List the prime factors of y.
1213
Suppose 0*s + 688 = 8*s. Suppose -74 - s = -5*d. What are the prime factors of d?
2
Suppose -4*i = -4*z + 64, 0*i + i + 5 = 0. Let r(t) = -t**3 + 14*t**2 - 13*t + 18. What are the prime factors of r(z)?
2, 7, 17
Let d(o) be the second derivative of o**4/4 - 2*o**3 + 31*o**2 - 6*o - 1. Let g be (-3 + 1)/(14/(-49)). What are the prime factors of d(g)?
5
Let j(d) = 3*d + 23. Let q be j(-15). Let y = q - -1. List the prime factors of (-6)/y - (-948)/14.
2, 17
Suppose 658*z + 49968 = 667*z. What are the prime factors of z?
2, 347
Let m(d) = d**2 - 2. Let h be m(2). Suppose a = -h*g + 612, -2*g + 306 = -g - 5*a. What are the prime factors of g?
2, 3, 17
Let t = -31 - -40. Let l = 21 + t. Let n = 54 - l. List the prime factors of n.
2, 3
Let a = 1044 + -1053. List the prime factors of -1 + a/(27/1176)*-5.
3, 653
Suppose 5*o - 230 = -3*s, 8*o = 3*s + 3*o - 220. List the prime factors of (-30)/s*(-785 - 0).
2, 157
Let a(w) be the first derivative of w**4/4 + 4*w**3/3 + 25*w**2/2 - 39*w + 133. What are the prime factors of a(6)?
3, 157
Suppose 5*z + 4*a - 316 = 0, -3*z + 83 = a - 108. Suppose z*n - 75*n + 2673 = 0. What are the prime factors of n?
3
Suppose 9*m + 30*m - 4326 = 9246. What are the prime factors of m?
2, 3, 29
Let c = 1447 - 1439. Let d(u) = -u**2. Let q(o) = -o**3 + 18*o**2 - 16*o - 8. Let p(l) = 6*d(l) + q(l). What are the prime factors of p(c)?
2, 3, 5
Let q(x) = -39*x - 6. Let w be q(-2). Let p = 589 - w. Suppose 0 = -4*j - 73 + p. What are the prime factors of j?
3, 37
Let b(q) = q**2 - 15*q - 7. Let j be b(16). Suppose -724 = -j*g + 5*g. What are the prime factors of g?
181
List the prime factors of 2 - 50*((-1467)/45)/((-3)/(-6)).
2, 7, 233
Suppose -6*h + 83 + 1 = 0. Suppose 18*s = h*s + 12. Suppose s*x + 0*x = 321. What are the prime factors of x?
107
Let j be (-53)/(-11) + 60/330. Suppose -j*q = -0*q - 15, -5*q + 9 = 2*d. Let z(b) = 14*b**2 - 3*b - 4. What are the prime factors of z(d)?
131
What are the prime factors of 408/340*(-26230)/(-4)?
3, 43, 61
Suppose -946 + 2836 = -5*o. Let j = o - -530. What are the prime factors of j?
2, 19
Let x = -13526 + 42629. What are the prime factors of x?
3, 89, 109
Let v = -41 - -46. Suppose -4*u + 925 = -v*s + 3327, 3*s - 1440 = 2*u. Suppose 4*x = s + 70. What are the prime factors of x?
137
Suppose 20*b = 1563 + 257. Let c = 100 - 56. Let z = b - c. What are the prime factors of z?
47
Let g be (248/2)/4 + (-4)/1. Let c = g + -5. What are the prime factors of 1*303/5 + c/55?
61
What are the prime factors of 4/8 + (-143640)/(-80)?
2, 449
Suppose 5*n - 70545 = -88*v + 91*v, 0 = -2*v. List the prime factors of n.
3, 4703
What are the prime factors of ((-1)/(-1))/(16/50640*3)?
5, 211
Suppose -2*d + 2*c = 2592, -4*d + 5*c - 5637 = -457. Let b = -838 - d. Suppose -8*r + r = -b. List the prime factors of r.
2, 3, 11
Suppose 56*n - 29833 - 130796 = 340235. List the prime factors of n.
2, 13, 43
Let o = -38125 - -62546. List the prime factors of o.
24421
Let f = 86578 - 45497. What are the prime factors of f?
41081
Suppose 0 = -27*o + 4*o + 69. Suppose 2*d + 0*d - 408 = o*f, 4*f = -2*d + 380. What are the prime factors of d?
2, 3, 11
Let s(p) = p**2 - 2*p + 5. Let x(d) = -d**3 + 4*d**2 + 5*d. Let l be x(4). Suppose -l*y + 15*y = 60. What are the prime factors of s(y)?
173
Suppose -21*b = -7*b + 1680. Let n = b + 247. What are the prime factors of n?
127
Let i = 928 + -924. List the prime factors of 2691/2 - ((-2)/i - -3).
17, 79
Suppose -3*o + 11134 = -32*r + 28*r, o - 3703 = 3*r. What are the prime factors of o?
2, 11, 13
Suppose 1692 = 44*w - 41*w. Suppose 0*m + w = 2*m + 4*g, -4*m - 4*g = -1148. What are the prime factors of m?
2, 73
Let g be 48/(-360) + (-11554)/(-30). Suppose 482 = 5*c - 4*l, -5*c + 3*l + g = -c. Let i = c + -37. What are the prime factors of i?
3, 19
Suppose -15*u = -18*u + 27. Suppose -2082 = -u*w + 996. List the prime factors of w.
2, 3, 19
Let h = 4 + -11. Let x be ((-2)/(-6))/(h/(-42)). Suppose 3*n = -t + 40, 0 = x*t + 2*n - 62 - 34. List the prime factors of t.
2, 13
Let c = -92 - -162. Suppose -6*u = -u - c. List the prime factors of 2 + 1244/u - 2/(-14).
7, 13
Let w be (196 - -2)*(2 - 105/(-14)). Let d = -832 + w. What are the prime factors of d?
1049
Suppose 9 = -5*x - 1, -a - 3*x = -23. Suppose 0 = -7*o + 6*o - 20. Let b = a + o. What are the prime factors of b?
3
List the prime factors of (10 - (-1340080)/(-100))*(-5)/3.
2, 11159
Let s(b) = -4*b - 10. Let z be s(-3). Suppose 0 = z*m - 0*m - 10. What are the prime factors of 3 - m - (1 - -1 - 29)?
5
Let w = -355 + 376. Suppose -33402 = -w*g - 17*g. What are the prime factors of g?
3, | {
"pile_set_name": "DM Mathematics"
} |
- 2*o + 4*o - 4*o + o + (2*o + 2 - 2)*(3 + 0 - 4) - 3*o - o + 6*o - 9*o + o - 2*o)*(-2 + 3 - 2).
11*o
Expand -18*q - 2*q - 21*q - 2*q + 4*q - 4*q + (4 + 1 - 3)*(4*q - 6*q + q).
-45*q
Expand (-14 + 16 - 13)*(0*b - 2*b + 0*b).
22*b
Expand (-3*g**3 - g**3 + 0*g**3)*(7*g**2 - 2*g**2 + 4*g**2).
-36*g**5
Expand (5*v - 75 + 75)*(-2*v - 5 + 5)*(2 - 1 - 2).
10*v**2
Expand (2 + 8 + 0)*(0*s**4 - 4*s**4 + 3*s**4).
-10*s**4
Expand (4*i + i - 3*i + (i + 1 - 1)*(2 + 1 - 2))*(2*i**3 - 3*i**3 + 6*i**3).
15*i**4
Expand (2 - 2 - 2)*(11*i**2 - 11*i**2 + 11*i**2).
-22*i**2
Expand (26 + 28 + 9)*(-n + n - n).
-63*n
Expand 2*d + 0 + 0 + (4*d - 5*d + 0*d)*(1 + 3 - 5) + 6*d + 47 - 47.
9*d
Expand (-2*l + 2*l + l**3)*((1 + 2 + 1)*(8*l - l - 3*l) + 6*l - 4*l - 3*l).
15*l**4
Expand (2*b + b - b)*(-4 + 5 + 2) + 0 + 0 + b + 0*b + 2*b + 0*b + (2 - 5 + 2)*(-3*b + b + b) - 1 - 3*b + 1.
7*b
Expand -11*f**3 + 35*f**3 - 9*f**3 + 2*f**3 - 3*f**3 - f**3 + (0*f + f - 2*f)*(-2*f - f**2 + 2*f).
14*f**3
Expand 3*v + 1 - 1 + (2 + 0 - 1)*(-v + 2 - 2).
2*v
Expand (3*n + 2*n - 4*n)*(-n + 4*n - 5*n) - 3 + 3 - n**2 - 4*n**2 - 3*n**2 + 6*n**2 + (0*n**2 + 0*n**2 + 6*n**2)*(6 - 3 - 2).
2*n**2
Expand -u**2 + 4*u**2 - u**2 + (2 - 2 + u**2)*(-1 - 1 + 4) + (-1 - 4 + 4)*(-u + u - u**2) - 4*u**2 + 2*u**2 - 3*u**2 + 1 + 3*u**2 - 1.
3*u**2
Expand ((2 - 2 + 2)*(2 - 7 + 3) + 6 + 0 - 3)*(-2*f**4 + f**3 - f**3).
2*f**4
Expand (3*r + 3*r**3 - r - r**3)*(3*r + 3*r - r).
10*r**4 + 10*r**2
Expand m**3 - 5*m**3 + m**3 + (-3*m**2 + 2 - 2)*(0*m - 5*m + 2*m).
6*m**3
Expand (-4 - 8 + 2)*(-4*j + 5*j + 0*j + (1 - 4 + 0)*(j + 3 - 3)).
20*j
Expand (0 + 2 - 4)*(1 - 1 + 2*m) + (3 + 1 - 6)*(-22*m + 8*m + 4*m).
16*m
Expand ((0 - 3 + 1)*(2*w**2 - 3 + 3) + 3 - 3 + w**2 - 4*w**2 - w**2 + w**2)*(-1 - w + 1).
7*w**3
Expand (6 + 3 + 6)*(2 - 2*a - 2)*(3 - 1 + 1).
-90*a
Expand (-6 - n + 6)*(-1 - 79*n - 68*n + 157*n).
-10*n**2 + n
Expand (0*g + 2*g - 3*g)*(-5 + 3 + 7).
-5*g
Expand (-3*h + 2*h - h)*(3 - 1 + 0) - h - 5*h - h - 2 - h + 2.
-12*h
Expand (0 - 3 + 2)*(4*s - 3*s + s)*(6*s**2 - s**2 + 8*s**2).
-26*s**3
Expand -t**3 - 4*t**3 + 4*t**3 + (2*t - 8 + 8)*(-2*t + 2*t - 2*t**2).
-5*t**3
Expand (0*i + 3*i - i)*(-144*i**2 - 2 + 149*i**2 + 1).
10*i**3 - 2*i
Expand (-3 + 2 - 1)*(2*h + 0*h + h + 2*h - 2*h - 4*h - 2*h + 1 - 1 + 0*h - 2*h + 3*h + (3*h + 3*h - 5*h)*(-3 + 2 - 1) - 3*h + 0*h + 2*h).
10*h
Expand ((2 + 3 - 4)*(0 - 3 + 2) + 3 - 2 + 1 - 20 - 23 + 15)*(3*h**2 - 2*h**2 - 3*h**2 - h**2 - 4*h**2 + 4*h**2 + (0*h - 4*h + 6*h)*(5*h + 0*h - 3*h)).
-27*h**2
Expand x - x - 2*x**3 + (x + 0 + 0)*(3*x - 3*x + x**2) + (-2 + 4 + 0)*(-2*x**3 + 5*x**3 - 2*x**3).
x**3
Expand 2*w**2 - 4*w**2 + 3*w**2 + 4*w**2 - 2*w**2 + 0*w**2 + (-2*w + 4*w + 0*w)*(-4*w + 4*w - 2*w).
-w**2
Expand l**2 - l**2 - 2*l**5 + (4 - 1 - 1)*(0*l**5 - l**5 + 5*l**5).
6*l**5
Expand -15*i**3 + 15*i**3 - 5*i**4 - i**4 - 2*i**4 + 0*i**4 + (2*i**3 + 2 - 2)*(-i + 1 - 1) - i**4 + i**3 - i**3.
-11*i**4
Expand (-2*v + 4*v - 3*v)*(-5*v - 2*v - v) + (-2*v**2 - 4*v**2 + 4*v**2)*(2 - 2 - 2) - 2*v**2 + 0*v**2 + 0*v**2.
10*v**2
Expand (-1 + 15 - 8)*(3*k**3 + 3*k - k**3 - 3*k**3) + 3*k**2 - 3*k**2 + 2*k**3.
-4*k**3 + 18*k
Expand (-2*b**2 + 2*b**2 + 2*b**3)*(6 - b - 6).
-2*b**4
Expand (-8 + 1 - 5)*(0*p - 4 + 4*p + 5).
-48*p - 12
Expand (4*n + 21 - 21)*(-5*n + 3*n + 2 - 1)*(0 - 4 + 3).
8*n**2 - 4*n
Expand (j - 2*j - j)*(-2*j**3 + 2*j**3 + 2*j**4) - 2*j**3 + j**5 + 2*j**3 - 9*j**5 + 0*j**5 - 2*j**5.
-14*j**5
Expand (-2*n + 3*n - 4*n)*(6 + 3 - n - 5).
3*n**2 - 12*n
Expand (-2 + 2 + 2*x)*(-44*x**2 + 13*x**2 + 15*x**2).
-32*x**3
Expand (-y**2 + 6*y**2 - y + 5*y**2)*(y**2 + 0*y**2 - 2*y**2).
-10*y**4 + y**3
Expand (-8*c + 5*c - c)*(4*c**3 - 2*c**3 - 3*c**3) - 7*c**4 + 25*c**3 - 25*c**3.
-3*c**4
Expand (-461 + 461 - 25*m**3)*(-1 + 1 - 2*m**2).
50*m**5
Expand (3 + 0 - 2)*(0*g**3 - 2*g**3 + 4*g**3) + g**3 - g + g + 35*g**3 - 46*g**3 + 27*g**3.
19*g**3
Expand (-5*y + 3*y + y)*(-6 + 0 + 1).
5*y
Expand -2*u - 6*u + 13*u - 2*u**4 + 2*u**2 - 2*u**2 - u**4 + 1 - 1 - u**4 + (2*u - 2*u + 2*u**2)*(-4*u**2 + 3*u**2 - u**2) + 2*u**4 - 4*u + 4*u.
-6*u**4 + 5*u
Expand (-1 + 2 - 3)*(2*m**4 - m**4 + m**4) - 8*m**4 + 12*m**4 + 11*m**4.
11*m**4
Expand (1 - 1 - 2*b**4)*(7 - 24 - 475*b + 477*b)*(-4 + 2 + 3).
-4*b**5 + 34*b**4
Expand (2 - 2*z - 2)*(7 + 2*z - 7 + (2 - 2 + 2)*(2*z + 2 - 2)).
-12*z**2
Expand 0*c + 0*c - c + (-253 + 253 + 3*c)*(6 - 1 - 3).
5*c
Expand (2 - 2 + 1)*(-4 - n + 4) + (n + 2*n - n)*(-4 + 1 + 1).
-5*n
Expand 0 + c + 0 + (0 + 12 - 5)*(-3*c + 2*c + 2*c) - 2*c + 3*c + 0*c.
9*c
Expand (-2*v - 2*v + 3*v)*((-4 + 4 - 5*v)*(0*v**2 + 0*v**2 - v**2) + 4*v**3 - v**3 - v**3).
-7*v**4
Expand (2 + b - 2)*(-3*b - 5*b + 0*b)*(-1 + 1 + 2)*(0 - 2 + 1)*(0*b**2 + 4*b**2 + 4*b**2).
128*b**4
Expand (-2 - 4 + 4)*(-8 + 9 - 7)*(2*w**3 - 2*w**4 - 2*w**3).
-24*w**4
Expand 4*v**2 - 3*v + 3*v + (2 - 2 + 2*v)*(2*v - 4 + 4) + 2*v**2 - 2*v**2 + v**2 - 2*v**2 - 3*v + 3*v.
7*v**2
Expand (2*b - 5*b + 0*b + (4*b - b - 4*b)*(-2 - 1 + 5) + 0*b - b - b)*(-3*b**3 - b**4 + 3*b**3).
7*b**5
Expand (y**2 + 0*y**2 + 0*y**2)*(2*y**2 + 2*y**2 - 2*y**2)*(-5 - 9 + 0).
-28*y**4
Expand (4 - 3 - 4)*(1 + 0 + 0)*(g + 1 - 1)*(2*g - 6*g + 3*g).
3*g**2
Expand (3 - 2 - 5)*(-12*q + q - 19*q).
120*q
Expand (-3*s + 0*s + 5*s)*(-s - 2*s + 7*s - 6).
8*s**2 - 12*s
Expand (-2*j**2 + j - j)*(3 - 2*j - 3)*(-6*j + 3*j - 2*j) + 2*j**2 + 2*j**4 - 2*j**2.
-18*j**4
Expand (-13*m**2 + 4*m**2 - 3*m**2)*(2*m + 3 - 3)*(-2*m**2 + 4*m**2 + 0*m**2).
-48*m**5
Expand (-3 + 1 + 3)*(-1 - 2 + 1)*((z**3 + 3*z**3 - 2*z**3)*(-2*z - 2*z + 3*z) + 4*z**2 - 4*z**2 - z**4).
6*z**4
Expand h + 12*h + 9*h + (-4 + 4 - 1)*(-4*h - h + 2*h) + 2*h + 2*h - 5*h.
24*h
Expand (-2*q - 3*q + 7*q)*(-26*q + 26*q + 16*q**2) - q**3 - 2*q**3 + 4*q**3.
33*q**3
Expand 14*j**3 + 12*j - 12*j + (j - j + 2*j**2)*(-j + 0 + 0).
12*j**3
Expand (0*a + 0*a + 2*a)*(4*a - 2*a - a) + 2*a**2 + a**2 - 2*a**2 + (-4*a - a + 7*a + 19)*(-a + 3 - 3).
a**2 - 19*a
Expand (f**2 - 2*f**2 + 3*f**2)*(10*f - 2 - 25*f + 10*f).
-10*f**3 - 4*f**2
Expand 3*g**3 - g**3 + 3*g**3 + (2 - 1 + 1)*(-g**3 + 2*g**3 - 3*g**3) - 2*g**3 + 3*g**2 - 3*g**2.
-g**3
Expand 2*k + 4*k - 3*k + (0 - 3 + 4)*(-k + 0*k - k).
k
Expand (-37*w + 37*w + 8*w**2)*(-w - 1 + 1).
-8*w**3
Expand (0*h - 4*h + 2*h)*(5*h - 5*h - 4*h**4).
8*h**5
Expand (-1 - 2 - 4)*(-l**3 + l - l).
7*l**3
Expand (2*q**2 - 2*q**2 - 3*q**2)*(2*q + 2*q + 0*q)*(-1 - 4 + 3).
24*q**3
Expand (-8*z**2 + 12*z**2 - 4*z - z**2 + (3*z + 0*z - 4*z)*(-3*z + 5*z - 3*z))*(0*z**2 - 4*z**2 + z**2).
-12*z**4 + 12*z**3
Expand (50 - 50 - 2*b - 3*b**2 - b**3)*(3*b - 2*b - 3*b).
2*b**4 + 6*b**3 + 4*b**2
Expand (-3 + 3 + 2)*(4 - 4 - y) - 4*y - y + 6*y + 2*y + 4*y - y + (-3 - 1 + 6)*(0 + 0 + y).
6*y
Expand (2 - 7*a - 2 + (5 - 5 - 2*a)*(0 + 4 - 2))*(1 - 4 + 1 + (-2 + 1 + 0)*(-2 + 6 - 2)).
44*a
Expand -4 - 37*b**2 - 1 + 38*b**2 - 3*b**5 + (8*b - b - b)*(-5*b**4 + 0*b**4 + 3*b**4).
-15*b**5 + b**2 - 5
Expand ((f - 6*f + 3*f)*(-7 + 5 + 0) - 4*f + 3*f + 2*f)*(-1 + 0 + 2).
5*f
Expand -14*s**3 + 14*s**3 - 3*s**4 + (-3*s**4 + 6*s**4 - 2*s**4)*(-4 + 2 + 1) - s**3 + s**4 + s**3.
-3*s**4
Expand (-2 + 4 - 1)*(-3 - 2 + 3)*(5*g - 6*g + 12 + 0*g).
2*g - 24
Expand (-r**2 - 1 + 1)*(-64*r + 26*r + 29*r).
9*r**3
Expand (t - 7*t + 4*t + (-t - t + 0*t)*(-5 + 4 + 3) - 1 + 1 + 2*t + 5 + t - 5 - 3 + 3 - t)*(-4*t + 6*t - 5*t) + 61*t - 61*t + 4*t**2.
16*t**2
Expand 3*f + 0*f + f + f + 0*f + 2*f - f - 3*f + 2*f - f + 0*f + 0*f + (-f - 2 + 2)*(0 - 4 + 5).
3*f
Expand (2*a**2 + a + a**2 - 5*a**2)*(1 + 1 - 5).
6*a**2 - 3*a
Expand (-4*d - 4*d - d)*(-2*d + 5*d - 5*d)*(3*d - 4 + 4).
54*d**3
Expand (-3*q**2 + 0*q**2 + q**2)*(4 - 11 - 13) - q**2 + 3*q**2 - 5*q**2 + (0*q + 0*q + 2*q)*(q - q - 2*q) + 3*q**2 - 2*q**2 + 0*q**2.
34*q**2
Expand (0*m + m - 8*m)*(-m + 3 - 3) + m**2 + 3*m**2 - 2*m**2 - 2 + m**2 + 2 + (-2 + 2 + m**2)*(-1 + 1 + 1) + m**2 + 0*m + 0*m - 2*m**2 + m**2 + 2*m**2.
13*m**2
Expand 2 - 2 + h + (-4 + 0 + 3)*(-2 - h + 2) + h + h + 0*h - h - h + 3*h + 0*h + 27 - h - 20 + (h + 2*h - 2*h)*(4 - 3 - 3).
2*h + 7
Expand (3 + 0 - 2)*(j - 4 + 4) + 3*j - 4*j - 3*j + (-4*j - j + 3*j)*(-1 - 4 + 3).
j
Expand (-3*m - 2*m**2 + 3*m)*(0 + 0 + 2*m) + (m**2 + 2 - 2)*(-5*m + 0*m + 2*m).
-7*m**3
Expand (a - a + a)*(4 + 2 - 3).
3*a
Expand (h + 0*h - 4*h)*(-h | {
"pile_set_name": "DM Mathematics"
} |
equence qdj when three letters picked without replacement from {d: 3, j: 1, q: 3, n: 3, l: 3, h: 1}?
3/728
What is prob of sequence llr when three letters picked without replacement from {r: 3, l: 3, d: 5, b: 6}?
3/680
Two letters picked without replacement from {c: 8, m: 1, f: 2, a: 2}. Give prob of sequence fm.
1/78
Four letters picked without replacement from {o: 4, v: 1, z: 7, n: 3, r: 2}. Give prob of sequence rzvo.
1/1020
Two letters picked without replacement from {l: 1, j: 2, f: 1, e: 1, w: 2}. Give prob of sequence le.
1/42
Three letters picked without replacement from vyvfvvvvvf. What is prob of sequence yvv?
7/120
Two letters picked without replacement from {v: 1, f: 1, t: 2, n: 1, s: 1, z: 1}. Give prob of sequence sn.
1/42
What is prob of sequence jayy when four letters picked without replacement from {j: 2, y: 12, a: 3}?
33/2380
What is prob of sequence qqe when three letters picked without replacement from {t: 7, q: 2, d: 5, e: 2, b: 1, m: 3}?
1/1710
Calculate prob of sequence nuf when three letters picked without replacement from {n: 1, q: 1, c: 1, u: 2, f: 1, e: 2}.
1/168
Calculate prob of sequence qj when two letters picked without replacement from zqzjj.
1/10
Two letters picked without replacement from oohhnnnoqowonoqoooh. Give prob of sequence oo.
4/19
Four letters picked without replacement from {k: 1, b: 1, p: 8, a: 2, l: 2}. What is prob of sequence pbpk?
1/429
Calculate prob of sequence ny when two letters picked without replacement from {t: 1, g: 2, y: 2, u: 4, n: 1}.
1/45
Three letters picked without replacement from dnriirirnnw. What is prob of sequence irn?
3/110
Two letters picked without replacement from usuuusuu. What is prob of sequence uu?
15/28
Two letters picked without replacement from zyyyywyyyywyyyyywwwz. Give prob of sequence yy.
39/95
Three letters picked without replacement from {v: 2, f: 4, i: 4, h: 5}. Give prob of sequence fvi.
16/1365
Calculate prob of sequence ra when two letters picked without replacement from {a: 2, w: 6, y: 1, k: 5, r: 5}.
5/171
Calculate prob of sequence gye when three letters picked without replacement from eoohyge.
1/105
Calculate prob of sequence wwss when four letters picked without replacement from wwwwhsswbhbbs.
1/143
What is prob of sequence ll when two letters picked without replacement from {z: 2, l: 2, a: 1, x: 1}?
1/15
Calculate prob of sequence lrl when three letters picked without replacement from lrllrlllll.
7/45
What is prob of sequence de when two letters picked without replacement from {n: 1, t: 1, e: 3, d: 2}?
1/7
Calculate prob of sequence wm when two letters picked without replacement from {v: 5, w: 5, d: 1, m: 6}.
15/136
Calculate prob of sequence uu when two letters picked without replacement from {m: 1, p: 4, u: 2, d: 9, c: 1}.
1/136
Three letters picked without replacement from {p: 1, f: 9, i: 4}. Give prob of sequence pii.
1/182
What is prob of sequence ixt when three letters picked without replacement from xxit?
1/12
Calculate prob of sequence ynyy when four letters picked without replacement from ynynytyyt.
5/126
What is prob of sequence ljl when three letters picked without replacement from dydqlgglgjlq?
1/220
Calculate prob of sequence bve when three letters picked without replacement from {k: 4, f: 1, p: 1, v: 7, b: 3, e: 2}.
7/816
Calculate prob of sequence tfft when four letters picked without replacement from ffttfffftf.
1/20
What is prob of sequence ii when two letters picked without replacement from {i: 11, g: 5}?
11/24
Two letters picked without replacement from dpdpppdppppp. Give prob of sequence pd.
9/44
Four letters picked without replacement from {n: 2, h: 2, g: 1, o: 2, z: 1}. Give prob of sequence ozhg.
1/420
Four letters picked without replacement from ereeerrerr. What is prob of sequence errr?
5/84
Three letters picked without replacement from geeemmeeeeeemzgeree. What is prob of sequence mme?
4/323
Calculate prob of sequence aayc when four letters picked without replacement from {u: 5, c: 1, y: 1, o: 3, a: 3}.
1/2860
What is prob of sequence zxx when three letters picked without replacement from {k: 1, o: 1, l: 1, t: 5, z: 1, x: 4}?
1/143
Two letters picked without replacement from ssxxbsbijjixpxj. Give prob of sequence sj.
3/70
What is prob of sequence gc when two letters picked without replacement from dpocopddddodgcgpgccd?
3/95
Two letters picked without replacement from {q: 1, c: 1, x: 2, m: 1, j: 2}. Give prob of sequence mx.
1/21
Four letters picked without replacement from wwjjjjjwwjjwjj. What is prob of sequence wwwj?
45/2002
Two letters picked without replacement from jmm. What is prob of sequence mj?
1/3
Three letters picked without replacement from xkbkkxxx. What is prob of sequence kbx?
1/28
Three letters picked without replacement from {y: 1, e: 2, l: 1}. What is prob of sequence lee?
1/12
Four letters picked without replacement from oojjgojgjo. Give prob of sequence gooo.
1/105
Four letters picked without replacement from dypydpoddpdpopy. Give prob of sequence oppy.
1/273
Four letters picked without replacement from cccccectccccccc. What is prob of sequence ccte?
1/210
Four letters picked without replacement from {q: 8, y: 8, k: 1, l: 1}. Give prob of sequence qkyl.
2/2295
Calculate prob of sequence jjbb when four letters picked without replacement from wbbjbjbjwj.
1/35
Three letters picked without replacement from wggwwgg. Give prob of sequence wgg.
6/35
Calculate prob of sequence qepf when four letters picked without replacement from epqqqef.
1/140
Calculate prob of sequence mol when three letters picked without replacement from {m: 2, o: 1, l: 1}.
1/12
Calculate prob of sequence twtj when four letters picked without replacement from jmttfwf.
1/420
What is prob of sequence ov when two letters picked without replacement from vdpppvpojojjvj?
3/91
What is prob of sequence opz when three letters picked without replacement from {p: 7, o: 4, z: 2}?
14/429
Four letters picked without replacement from gyzkzhhyi. Give prob of sequence hgzk.
1/756
Three letters picked without replacement from {e: 2, p: 3}. Give prob of sequence epp.
1/5
What is prob of sequence dnn when three letters picked without replacement from {d: 5, n: 7}?
7/44
Calculate prob of sequence epd when three letters picked without replacement from ddedzyp.
1/70
Calculate prob of sequence xx when two letters picked without replacement from xxxxixiiiiii.
5/33
Calculate prob of sequence pp when two letters picked without replacement from {p: 2, v: 2, m: 9, q: 1, k: 3}.
1/136
Calculate prob of sequence qa when two letters picked without replacement from {g: 1, q: 1, u: 1, w: 4, a: 8}.
4/105
Calculate prob of sequence xpdr when four letters picked without replacement from xrdfppfxdhrrrppxxdxf.
2/969
Calculate prob of sequence ocl when three letters picked without replacement from {o: 2, y: 4, z: 1, h: 2, c: 1, l: 4}.
1/273
Calculate prob of sequence sw when two letters picked without replacement from {u: 1, e: 1, w: 1, x: 1, s: 1}.
1/20
What is prob of sequence gnnn when four letters picked without replacement from ngggngggngggggnggg?
7/1530
Calculate prob of sequence qcc when three letters picked without replacement from {t: 7, c: 2, q: 4, y: 1}.
1/273
What is prob of sequence rao when three letters picked without replacement from rrarrooro?
5/168
Four letters picked without replacement from rcrrrrtcxrmqtmmmrmm. Give prob of sequence xrcc.
7/46512
Four letters picked without replacement from {n: 1, c: 1, z: 2, q: 3, d: 2, x: 3}. What is prob of sequence zxcd?
1/990
Two letters picked without replacement from ixiiiiii. What is prob of sequence ix?
1/8
What is prob of sequence br when two letters picked without replacement from {j: 3, a: 1, w: 2, d: 2, r: 2, b: 4}?
4/91
Calculate prob of sequence nn when two letters picked without replacement from {v: 2, m: 2, n: 2}.
1/15
Three letters picked without replacement from iixxawaiibaxia. What is prob of sequence axi?
5/182
What is prob of sequence umqg when four letters picked without replacement from qqbuquuqugbuquqquqm?
7/11628
What is prob of sequence vb when two letters picked without replacement from {v: 3, b: 1, q: 5}?
1/24
Four letters picked without replacement from zazcpaccacuacuazpc. What is prob of sequenc | {
"pile_set_name": "DM Mathematics"
} |
p'th term of 125, 927, 3097, 7319, 14277, 24655, 39137?
114*p**3 + 4*p + 7
What is the l'th term of -272, -1077, -2408, -4259, -6624, -9497, -12872?
l**3 - 269*l**2 - 5*l + 1
What is the m'th term of 5498148, 5498149, 5498150, 5498151?
m + 5498147
What is the j'th term of -3396, -6791, -10186, -13581, -16976, -20371?
-3395*j - 1
What is the u'th term of 220, 1734, 5848, 13864, 27084, 46810, 74344, 110988?
217*u**3 - 2*u**2 + u + 4
What is the p'th term of 66788, 66792, 66808, 66842, 66900?
p**3 - 3*p + 66790
What is the l'th term of -2286, -4478, -6670, -8862, -11054, -13246?
-2192*l - 94
What is the p'th term of 21882, 21904, 21926, 21948, 21970, 21992?
22*p + 21860
What is the o'th term of -489, -530, -593, -678, -785, -914?
-11*o**2 - 8*o - 470
What is the s'th term of -382, -766, -1160, -1570, -2002, -2462?
-s**3 + s**2 - 380*s - 2
What is the l'th term of 4960, 4959, 4958, 4957?
-l + 4961
What is the v'th term of -175, -726, -1619, -2830, -4335, -6110?
4*v**3 - 195*v**2 + 6*v + 10
What is the s'th term of 42799, 42806, 42811, 42814?
-s**2 + 10*s + 42790
What is the v'th term of -232119, -232117, -232115, -232113, -232111?
2*v - 232121
What is the y'th term of 45, 79, 105, 99, 37?
-4*y**3 + 20*y**2 + 2*y + 27
What is the g'th term of -229, -928, -2095, -3730, -5833, -8404, -11443?
-234*g**2 + 3*g + 2
What is the i'th term of 7205, 7169, 7133, 7097, 7061?
-36*i + 7241
What is the j'th term of 2555, 2548, 2541, 2534?
-7*j + 2562
What is the z'th term of 836, 929, 1026, 1127, 1232, 1341?
2*z**2 + 87*z + 747
What is the o'th term of -234, -227, -222, -225, -242?
-o**3 + 5*o**2 - o - 237
What is the q'th term of 132779, 132784, 132791, 132800, 132811, 132824?
q**2 + 2*q + 132776
What is the v'th term of 3418103, 3418104, 3418105, 3418106?
v + 3418102
What is the f'th term of -1052, -2176, -3292, -4400, -5500?
4*f**2 - 1136*f + 80
What is the r'th term of 2832, 5743, 8652, 11559?
-r**2 + 2914*r - 81
What is the n'th term of -15000, -30118, -45236, -60354, -75472?
-15118*n + 118
What is the j'th term of 2490454, 4980910, 7471366, 9961822, 12452278, 14942734?
2490456*j - 2
What is the a'th term of 1443, 1124, 805?
-319*a + 1762
What is the p'th term of -7377, -14754, -22131?
-7377*p
What is the z'th term of 4450, 4458, 4478, 4516, 4578, 4670, 4798?
z**3 + z + 4448
What is the a'th term of -5845, -23401, -52661, -93625, -146293, -210665?
-5852*a**2 + 7
What is the o'th term of -9169, -9216, -9303, -9436, -9621, -9864, -10171?
-o**3 - 14*o**2 + 2*o - 9156
What is the t'th term of 17286, 17315, 17364, 17433, 17522?
10*t**2 - t + 17277
What is the o'th term of 8101, 8097, 8093, 8089, 8085?
-4*o + 8105
What is the n'th term of 5681, 5675, 5665, 5651, 5633, 5611?
-2*n**2 + 5683
What is the y'th term of 818, 1654, 2498, 3350, 4210, 5078?
4*y**2 + 824*y - 10
What is the g'th term of -119981, -119979, -119977, -119975, -119973, -119971?
2*g - 119983
What is the q'th term of -368, -1431, -3202, -5681, -8868?
-354*q**2 - q - 13
What is the i'th term of 428, 290, 58, -268, -688?
-47*i**2 + 3*i + 472
What is the p'th term of 28237, 28250, 28265, 28276, 28277, 28262?
-p**3 + 7*p**2 - p + 28232
What is the b'th term of -2905537, -2905535, -2905531, -2905525, -2905517?
b**2 - b - 2905537
What is the h'th term of 45, 185, 427, 783, 1265, 1885?
2*h**3 + 39*h**2 + 9*h - 5
What is the c'th term of 318, 302, 286, 270?
-16*c + 334
What is the w'th term of -35, -150, -321, -530, -759, -990, -1205, -1386?
3*w**3 - 46*w**2 + 2*w + 6
What is the f'th term of 8366, 16854, 25342, 33830?
8488*f - 122
What is the d'th term of 862, 827, 770, 691, 590, 467, 322?
-11*d**2 - 2*d + 875
What is the d'th term of -240, -265, -316, -405, -544, -745, -1020, -1381?
-2*d**3 - d**2 - 8*d - 229
What is the a'th term of 32860, 131439, 295738, 525757, 821496, 1182955, 1610134?
32860*a**2 - a + 1
What is the l'th term of 489, 1948, 4385, 7806, 12217, 17624, 24033?
l**3 + 483*l**2 + 3*l + 2
What is the j'th term of -155, -161, -145, -107, -47, 35, 139?
11*j**2 - 39*j - 127
What is the l'th term of -806, -1617, -2450, -3317, -4230, -5201, -6242, -7365?
-2*l**3 + l**2 - 800*l - 5
What is the r'th term of 123445, 123451, 123461, 123475?
2*r**2 + 123443
What is the l'th term of 17225, 17246, 17269, 17294, 17321?
l**2 + 18*l + 17206
What is the a'th term of -17585, -70360, -158327, -281486, -439837?
-17596*a**2 + 13*a - 2
What is the v'th term of 5732, 10708, 15684, 20660, 25636, 30612?
4976*v + 756
What is the t'th term of -46247, -46240, -46233, -46226, -46219?
7*t - 46254
What is the x'th term of 36497, 145930, 328319, 583664, 911965, 1313222?
36478*x**2 - x + 20
What is the d'th term of 246, 451, 650, 843, 1030, 1211, 1386?
-3*d**2 + 214*d + 35
What is the o'th term of -1368, -1364, -1358, -1350, -1340, -1328, -1314?
o**2 + o - 1370
What is the v'th term of -1788, -7178, -16160, -28734, -44900, -64658?
-1796*v**2 - 2*v + 10
What is the h'th term of -262448, -262447, -262446?
h - 262449
What is the l'th term of 742147, 1484293, 2226439?
742146*l + 1
What is the c'th term of -2013, -2031, -2065, -2115, -2181, -2263?
-8*c**2 + 6*c - 2011
What is the w'th term of -10, 35, 156, 389, 770?
6*w**3 + 2*w**2 - 3*w - 15
What is the v'th term of 963033, 963032, 963031, 963030, 963029, 963028?
-v + 963034
What is the b'th term of -56580, -113162, -169744, -226326, -282908?
-56582*b + 2
What is the b'th term of 1291, 2570, 3849?
1279*b + 12
What is the j'th term of -9450, -18879, -28262, -37575, -46794, -55895, -64854, -73647?
4*j**3 - j**2 - 9454*j + 1
What is the o'th term of -85054, -85072, -85090, -85108, -85126?
-18*o - 85036
What is the q'th term of 73, 22, -43, -104, -143, -142?
3*q**3 - 25*q**2 + 3*q + 92
What is the w'th term of 1620, 6649, 15030, 26763, 41848, 60285?
1676*w**2 + w - 57
What is the g'th term of -3086206, -3086206, -3086204, -3086200, -3086194?
g**2 - 3*g - 3086204
What is the k'th term of 721, 751, 783, 817, 853, 891?
k**2 + 27*k + 693
What is the m'th term of 887, 1827, 2755, 3665, 4551, 5407, 6227, 7005?
-m**3 + 947*m - 59
What is the o'th term of -32406, -32399, -32396, -32403, -32426?
-o**3 + 4*o**2 + 2*o - 32411
What is the m'th term of -12098, -48321, -108686, -193187, -301818, -434573, -591446, -772431?
m**3 - 12077*m**2 + m - 23
What is the y'th term of -115, -251, -417, -613, -839?
-15*y**2 - 91*y - 9
What is the s'th term of -46469, -92921, -139373, -185825?
-46452*s - 17
What is the c'th term of -173947, -347896, -521845?
-173949*c + 2
What is the j'th term of 415, 340, 261, 184, 115, 60?
j**3 - 8*j**2 - 58*j + 480
What is the x'th term of -13266, -26533, -39800, -53067, -66334, -79601?
-13267*x + 1
What is the x'th term of 339, 733, 1173, 1659, 2191, 2769?
23*x**2 + 325*x - 9
What is the d'th term of 30, 132, 300, 534, 834, 1200?
33*d**2 + 3*d - 6
What is the y'th term of 665, 2554, 5679, 10034, 15613, 22410, 30419, 39634?
-y**3 + 624*y**2 + 24*y + 18
What is the n'th term of 76, 272, 788, 1780, 3404?
26*n**3 + 4*n**2 + 2*n + 44
What is the s'th term of 333, -675, -2349, -4683, -7671, -11307, -15585, -20499?
s**3 - 339*s**2 + 2*s + 669
What is the t'th term of 1099, 1756, 2399, 3022, 3619, 4184, 4711, 5194?
-t**3 - t**2 + 667*t + 434
What is the a'th term of 26432, 52856, 79268, 105662, 132032, 158372, 184676, 210938?
-a**3 + 26431*a + 2
What is the l'th term of 1455, 5892, 13285, 23628, 36915?
-l**3 + 1484*l**2 - 8*l - 20
What is the o'th term of 639, 1248, 2263, 3684, 5511, 7744?
203*o**2 + 436
What is the j'th term of 50, -177, -558, -1093?
-77*j**2 + 4*j + 123
What is the w'th term of -2657, -2648, -2633, -2612, -2585, -2552?
3*w**2 - 2660
What is the i'th term of -2264, -18090, -61038, -144668, -282540?
-2260*i**3 - i**2 - 3*i
What is the v'th term of -111135, -111134, -111133, -111132?
v - 111136
What is the f'th term of 3495, 14107, 31845, 56715, 88723, 127875, 174177?
f**3 + 3557*f**2 - 66*f + 3
What is the q'th term of 1109, 1090, 1071?
-19*q + 1128
What is the m'th term of -521, -1069, -1617, -2165, -2713?
-548*m + 27
What is the a'th term of -664, -714, -814, -976, -1212, -1534, -1954, -2484?
-2*a**3 - 13*a**2 + 3*a - 652
What is the y'th term of -81450, -81439, -81414, -81369, -81298, -81195, -81054, -80869?
y**3 + y**2 + y - 81453
What is the q'th term o | {
"pile_set_name": "DM Mathematics"
} |
(w) = -2*w**3 + 27*w**2 - 15*w + 23. Let u be y(13). Suppose -k = -2 - 0. What is the second biggest value in u, k, 6?
k
Let l be (-2 + 2)*(-1)/2. Let d = -56.4 + 60.4. Which is the second biggest value? (a) l (b) -2 (c) d
a
Let n = 103 - 103. What is the smallest value in 4, -0.5, 2/9, n?
-0.5
Let z = 48 + -48.5. Which is the fourth biggest value? (a) 145 (b) 1 (c) -3 (d) z
c
Let p = -1 - 5. Let n = -0.376 + 2.376. What is the second smallest value in p, -1, -5, n?
-5
Let b be (-34)/(-4) - 1/(-2). Let z = -14 + b. Let p = -552 - -552.5. What is the third smallest value in z, 0.4, p?
p
Let z = -47.3 + 44.3. Which is the second biggest value? (a) -3/7 (b) -2/19 (c) z
a
Let v = 23.033 - 23. Let l = v - -4.967. Which is the second biggest value? (a) 0.3 (b) l (c) 1 (d) -5
c
Let x = 3380 + -3378.009. Let j = x - -0.009. Which is the third biggest value? (a) -5 (b) -0.4 (c) j (d) 1/4
b
Let d = 787/2 - 3931/10. What is the second biggest value in -0.4, d, -2/7, 0?
0
Suppose 2*c - 2565 = -c. Let g be c/(-70)*2/96. Let f = g + -1/32. What is the biggest value in 0.1, -1, f?
0.1
Let q = -1847 - -1847.5. What is the biggest value in -0.1, q, 3, -0.9?
3
Suppose 8*d + 46 = 6*d. Let y be -1*(d/(-8) - 3). What is the smallest value in y, -2/5, 0.5?
-2/5
Suppose k + 5 = -3*u, 16*k - 2 = 14*k. Which is the biggest value? (a) u (b) -8 (c) -2/7 (d) 3
d
Let r = -13 + 13.12. Let z = 8.88 + r. Let k = 9.2 - z. Which is the second smallest value? (a) 1/2 (b) -0.3 (c) k
c
Let z = -1202/9 - -722/9. Let p = z + 53. Let n be -3*(0 + 6/99). Which is the biggest value? (a) p (b) -4 (c) n
c
Let g(l) = 7 + 11 - 24 + 12 - l**2 + 10*l. Let r be g(11). Let c = -7 - -10. What is the smallest value in 17, r, c?
r
Let y(t) = -t**3 + 2*t**2. Let m be y(2). Let s = 431.7 - 432. What is the second smallest value in s, m, -6?
s
Let k = 40 - 58. Let t = k - -19.4. Let u = -1.6 + t. Which is the third biggest value? (a) -4 (b) -1 (c) u
a
Let u = 10 - 10.48. Let f = u + 0.43. Which is the third smallest value? (a) 2/5 (b) f (c) 0.5
c
Let o = -2/151 - 143/604. Let g = -58 - -57.42. Let h = g - 0.42. Which is the biggest value? (a) h (b) -2/5 (c) o
c
Let u = 1844 - 1844. Let q = -4 - -3.92. Which is the third biggest value? (a) -3 (b) q (c) u (d) -1
d
Let b = 3 - 4. Let s(d) = d**2 - 8*d - 88. Let f be s(14). What is the fourth biggest value in 1, 0.5, f, b?
f
Let y = 6.5 - 0.5. Let q = -198.3 + 198. What is the second biggest value in q, y, 2/7?
2/7
Let t be 10/(-6) - 2/6. Let i = -3411 + 3406. What is the third biggest value in -1/3, t, i?
i
Let j be (-15)/(-3) - 378/78. Which is the second smallest value? (a) j (b) 4 (c) -3
a
Let b(u) = -u**2 - 4*u + 10. Let r be b(-5). Let j = -2.8 + -0.2. Let o = -3.3 - j. What is the smallest value in r, 4, o?
o
Let s = 5.18 - 5.68. Which is the second smallest value? (a) -1/6 (b) -2/7 (c) 2/7 (d) s
b
Let h be ((-145)/(-25) - 6)/(2/5). What is the second biggest value in 7, -0.15, h, -5?
-0.15
Let k be (-2)/(-6)*(-12)/16. Let x = 1/4 - k. Let q = 0.61 + -1.11. What is the second biggest value in x, q, 5?
x
Let l = -4183 + 79479/19. Let i = 15/11 - -3/22. What is the fourth smallest value in l, 0.4, 2, i?
2
Let z be 2/(-7) - 38/(-35). Let w = 10 + -10.1. What is the third smallest value in -0.09, w, z?
z
Let g be ((-415)/(-4))/(-3*21/36). Let f = g - -59. Which is the biggest value? (a) 1 (b) f (c) 1/3 (d) 5
d
Let j be (-224)/28 - 147/(-19). What is the second biggest value in -3/7, j, 0, 0.2?
0
Let y = 1.3 - 1.5. Let w = -12 + 9. Let p be ((-4)/32)/(2 + w). What is the third smallest value in p, y, -4/5?
p
Let g = -1916 + 1917.2. Which is the fourth smallest value? (a) 2/5 (b) -1 (c) -3 (d) g
d
Let i = 126 + -120.95. Let t = i + -0.05. What is the second smallest value in t, 2/15, 7?
t
Let z = 26.8 - 27. Let g be 135/25 - 2/5. Which is the second biggest value? (a) z (b) g (c) -2/3
a
Let j = 335 - 340. What is the biggest value in -1, -3, 5, j?
5
Let p = -11.3 + 0.9. Let q = 3.6 - p. Let g = q - 14.2. What is the biggest value in 0.2, g, 3?
3
Let x = -0.044 + -0.016. Let f = -0.06 - x. Which is the third biggest value? (a) f (b) 0.02 (c) -0.06
c
Suppose -3*r + 6 = -21. Let g = 2498.1 - 2498. Which is the smallest value? (a) r (b) -1/4 (c) 0 (d) g
b
Let i = 939/8 - 117. Suppose -65*m + 60*m - 18 = 4*v, 3*v - 2 = 4*m. Which is the fourth biggest value? (a) 3 (b) i (c) 2/7 (d) m
d
Let a = 0.04 + 0.25. Let b = a - 0.18. Let z = -2.11 + b. What is the second smallest value in z, -2/9, -4/5?
-4/5
Let g = -510.55 + 510. Which is the third smallest value? (a) -1 (b) g (c) 1
c
Let m be -4*(17/68 - 5/28). What is the third smallest value in 1, -2/5, m, 0.02?
0.02
Let z = 897.6 + -898. Which is the third biggest value? (a) -0.07 (b) z (c) -5 (d) -2/9
b
Let k = -0.726 + -5.274. What is the third biggest value in -2, -0.4, -1/3, k?
-2
Let y be (-4)/(-8) - 148/(-192). Let w = y - 15/16. Let j = -13/9 - -38/45. Which is the second biggest value? (a) 5 (b) j (c) w
c
Suppose 2*s - 50 + 52 = -j, -5*j + s + 1 = 0. What is the third smallest value in -2/9, 0.14, j, -3?
j
Let s = -2 + 2. Let d = 1264 - 1261. Which is the third biggest value? (a) s (b) d (c) 9
a
Let w = -166/9 + 812/45. Which is the second smallest value? (a) 1.5 (b) -1 (c) 4 (d) w
d
Let l = 0.021 - 0.021. What is the third smallest value in -1/4, 50, l, 2/5?
2/5
Let m = -2 - -7. Let p = 2607 - 2604. What is the biggest value in 0, p, m, -1/6?
m
Let p = 1 + -6. Let r = 113.8 - 108. Let k = 6.8 - r. What is the smallest value in p, 1/3, k?
p
Let m = 4 + 2. Let v = m + -6. What is the second smallest value in -0.05, 2/7, v?
v
Let l = -23 - -9. Let i = 13.94 + l. Let f = i - 4.94. What is the smallest value in f, -3, 0.1?
f
Suppose 2*l - 2 = -2*b, l + 9 = b - 0*l. Suppose 4 = g - b. Suppose 0 = 3*w - 6 - g. What is the third smallest value in -2, w, -2/11?
w
Let f = 32.7 - 34.7. Let i = -0.3 + 4.3. Which is the second biggest value? (a) -9 (b) f (c) i
b
Let o(n) = -n**2 - 14*n - 15. Let u be o(-10). Let g = 29 - u. Which is the second biggest value? (a) 0.3 (b) g (c) 5
b
Let f(w) be the second derivative of 5*w**3/6 - w**2/2 + w. Let r be f(1). Let d = -1322 + 1322.1. Which is the second biggest value? (a) r (b) -1 (c) d
c
Suppose -2*h - 1 - 7 = 0. Let d be (20/h + 2)*-1. What is the second smallest value in d, 0.1, 4?
d
Let o = 1.02 + -2.02. Let g = -30 - -21. What is the second biggest value in o, -0.1, -5, g?
o
Let g = 29 - -304. What is the biggest value in 0, g, 0.1?
g
Let d = -4 + -61. Let v be (-48)/(-195) - 10/d. Which is the biggest value? (a) -1/5 (b) v (c) -6
b
Let c = 0.243 + 3.757. What is the third smallest value in -3, 23, c?
23
Suppose -4*i + 8*i = -f - 16, -f - 4 = i. Which is the second biggest value? (a) -30 (b) 2/7 (c) -4 (d) f
d
Let x = 0.0617 - -0.0283. What is the biggest value in -2, 0.19, x?
0.19
Let q = 636 + -26711/42. Which is the biggest value? (a) 5/4 (b) q (c) 2
c
Let p = 35 - 5. Let q = p - 29. Which is the smallest value? (a) -6 (b) 0.2 (c) q
a
Let s = 128.9 - 130.9. What is the second biggest value in 3/5, -37, s?
s
Let y = -0.5 + 4.2. Let t = 26.3 + y. Which is the biggest value? (a) 2/9 (b) t (c) 4 (d) 0.1
b
Let t be (6 + 4)/(-7 + -1). Which is the smallest value? (a) 0 (b) t (c) 127/3
b
Suppose -22 = 21*t + 20. What is the fourth smallest value in t, 21/8, -0.5, 1?
21/8
Let h = 49 - 52. Which is the biggest value? (a) h (b) 5 (c) -1/4
b
Let j = 3.3 + -3.4. Let v = -0.2 + j. Let n be (30/(-7))/(-3) + -1. What is the second biggest value in v, n, 0.3?
0.3
Let u(x) = -2*x**2 - 4*x + 1. Let j be u(-3). Let i be ((-43)/(-15))/1 + (-52)/(-390). Which is the third biggest value? (a) i (b) 1 (c) j
c
Let x = -238/15 - -71/5. Let h = 20.4 + -13.4. Let d = -2 - 0. Which is the second biggest value? (a) x (b) h (c) d
a
Let v be (1 - 0) + 170/45 - 5. What is the smallest value in -5, -1, v, -0.05?
-5
Let w be 3 - -26*(-1)/4*2. Let j(u) = -u**3 - 9*u**2 + 9*u - 9. Let c be j(w). Let q = 0.02 + -2.02. What is the biggest value in c, q, -2/11?
c
Let v = 204 - 208. What is the third biggest value in v, 2/9, -5?
-5
Let m(b) = -2*b + 3. Let h be m(2). Let z = - | {
"pile_set_name": "DM Mathematics"
} |
= 805 - 624. What are the prime factors of q?
181
Let a = -61 - -66. What are the prime factors of 3509/44 + (10/8)/a?
2, 5
Suppose 3*a + 14 = 5. Let p be (-22 - 1)*-1 - a. Suppose y = n + 8, 2*y - 20 = -4*n + p. What are the prime factors of y?
13
Let l be -275 + (1 + -1)/((-14)/(-7)). Let j = -165 - l. What are the prime factors of j?
2, 5, 11
Let q be (27/(-12))/(6/(-32)). Suppose 0 = 3*d - q + 6. Suppose -d*f - 13 - 5 = -3*h, 4*h - 2*f = 24. What are the prime factors of h?
2, 3
Let m = 421 - 31. What are the prime factors of m?
2, 3, 5, 13
Let k(h) = -h**2 - 2*h + 6. Let z(g) = -2*g**2 - 3*g + 12. Let f(u) = 7*k(u) - 4*z(u). Let q = -4 + 9. List the prime factors of f(q).
3
Let w be 1*(4 + -3) - -32. Suppose 0 = c + 11 - w. List the prime factors of (c/(-4))/(2/(-8)).
2, 11
Suppose -2*x + 3 = -1. Suppose 3*h + 12 = 5*f + h, -x*f + 16 = 2*h. Suppose 5*t - 28 = -4*z + 9*t, 2*t = -f*z + 46. What are the prime factors of z?
2, 5
Let j be 327 + (-1 + 0)/(2/(-6)). Let g = j + -176. What are the prime factors of g?
2, 7, 11
Let t = -173 - -175. List the prime factors of t.
2
Let a(j) be the first derivative of -j**4/4 - j**3 + 3*j**2 + 4*j + 3. Let s be a(-5). Let n = 52 - s. List the prime factors of n.
2, 7
Let v = -10 - 0. Let i be (-22)/55 - 4/v. Suppose -3*g = 5*h - 134, 0 = 5*h - i*h - 5*g - 110. What are the prime factors of h?
5
Suppose -16896 = -6*w + 5076. What are the prime factors of w?
2, 1831
Let h = -124 - -401. List the prime factors of h.
277
Suppose 2*p + 58 = 262. What are the prime factors of p?
2, 3, 17
Suppose -3768 = -95*f + 91*f. What are the prime factors of f?
2, 3, 157
Let z = 712 + -221. List the prime factors of z.
491
Let x(q) = q**3 - 5*q**2 - q - 6. Let p be x(5). Let t(v) = -v**2 - 11*v + 3. Let o be t(p). List the prime factors of o/(-9) + (-68)/(-6).
11
Suppose 3*b - b = 12. Let h be ((-8)/(-10))/(b/15). Suppose h*z + 4*w + 33 = 7*z, 4*w - 12 = 0. List the prime factors of z.
3
Let b be 2/4 + (-686)/28. Let n = b - 12. List the prime factors of (-1 + (-4)/(-16))*n.
3
Let t(x) = x**3 + 11*x**2 + x - 15. Let k be t(-11). Let l = k + 29. Suppose -2*a - j = -89, 0*a - l*a + 131 = j. What are the prime factors of a?
2, 3, 7
Let o(d) = -11 - 6*d - 19 - d**3 + 1332*d**2 - 1340*d**2. What are the prime factors of o(-9)?
3, 5, 7
Let k = 461 - 433. Suppose n = -4*n + 255. Suppose -13 = -2*g - 2*p + n, -g = 5*p - k. List the prime factors of g.
3, 11
Suppose 4*m + 0*m = 104. Let d be -1 - (4/(-6))/((-2)/39). Let w = m - d. List the prime factors of w.
2, 5
Let j(u) = -u**3 - 2*u**2 + 2*u + 1. Let v be j(-3). Suppose 0 = g - 4*n - 19, -v*g + 0*n + 2*n + 20 = 0. Suppose g = r - 7. List the prime factors of r.
2, 5
Let s(n) = -n - 1. Suppose -3*r - 2 = 10. Let k be s(r). Suppose -k*o + 138 = -0*o. What are the prime factors of o?
2, 23
Let z be ((-2)/6)/((-2)/6). Suppose -2*g + 7 = 3*x, 5*x + 0 = -2*g - 3. List the prime factors of (z - -19)/(g - 9).
2, 5
Suppose -4*x = -0*x. Suppose -3*v = -6*v - 2*d - 10, x = -4*v - 4*d - 20. Suppose 9*u - 4*u - 40 = v. What are the prime factors of u?
2
Suppose 3*l - 4*l = -2, 5*l - 1790 = -5*h. List the prime factors of h.
2, 89
Let x(f) = 2*f**2 + 16*f. Suppose 4*d = a - d - 4, 16 = -4*d. List the prime factors of x(a).
2
What are the prime factors of (1530/(-120))/((-1)/36*1)?
3, 17
Let b(v) = 3*v - 20*v - 3 - 1 + 0. What are the prime factors of b(-5)?
3
Let g be (-20)/(-9) + (-18)/81. Suppose u - g = -0*u. Suppose 3*r + 2*i = -2*r + 27, -4*r + 18 = -u*i. List the prime factors of r.
5
Suppose -635*w - 1525 = -636*w. List the prime factors of w.
5, 61
Suppose 0 = -2*h - 4*i + 1038, 2*i + 647 = 2*h - 379. What are the prime factors of h?
5, 103
Suppose -z - 4900 = -11*z. List the prime factors of z.
2, 5, 7
Let p = 9 - 6. Suppose y - 4*y = 2*b - 39, -p*b = 2*y - 61. What are the prime factors of b?
3, 7
Let x(j) = j**3 + 15*j**2 - 9*j - 1. Let k be x(-15). Suppose k = 3*d - u, -3*d - 82 = -5*d - 3*u. List the prime factors of d.
2, 11
What are the prime factors of (615 - -10) + (8 - 0)?
3, 211
Let u = -3 - -5. Suppose -u*y = -58 - 6. What are the prime factors of y?
2
Let f(u) = -8*u - 18. Let a be f(-12). Suppose 0 = -o - 43 - a. Let t = -58 - o. What are the prime factors of t?
3, 7
Suppose 5*c + 4*b - 1655 = 0, -5*c - 4*b = -3*c - 662. List the prime factors of c.
331
Suppose -22*c + 10635 = 3441. What are the prime factors of c?
3, 109
Let q(m) = -m - 1. Let x(t) = 6*t + 20. Let o(z) = -4*q(z) - x(z). Let c = -20 + 5. What are the prime factors of o(c)?
2, 7
Suppose -y - 22 + 17 = 0, 2*o - 746 = -4*y. List the prime factors of o.
383
Let j = -75 - -591. Let y = j - 273. List the prime factors of y.
3
Let c(q) = q**2 + q + 29. Let v be c(-13). Let u = -41 + v. List the prime factors of u.
2, 3
Suppose 4*a + 5*i + 39 = 0, 99 = -5*a - 3*i + 34. Let l = a - -26. What are the prime factors of l?
2, 5
Let t = -163 + 167. Suppose 0 = -g - 5*x + 360, 3*x - 5*x + 1440 = t*g. List the prime factors of g.
2, 3, 5
Let j(y) = -8 - 11 + 25 + y. Let r be j(6). Let z = r - 10. What are the prime factors of z?
2
Let h = -60 - -65. Suppose -2*t + 7*t + h*q - 1080 = 0, 5*q = 15. List the prime factors of t.
3, 71
Suppose -3*m - 357 = -3*i, -2*i - 2*i + 3*m + 475 = 0. What are the prime factors of -2 + i + (6 - 2)?
2, 3, 5
Let u(o) = -9020 + 9030 + 0*o - 65*o. List the prime factors of u(-3).
5, 41
Suppose 4*b + p - 27 = 16, 4*b + 3*p - 49 = 0. Let l be b/6 - 6/(-18). Suppose -l = u - 2*u. What are the prime factors of u?
2
Suppose -5*i - 4 - 6 = 0, -5*i - 202 = -2*z. Suppose 4*j = 2*l - 82 - 8, -2*l + 2*j = -z. What are the prime factors of l?
3, 17
List the prime factors of (-1 - (-11 - 808))/((-2)/(-8)).
2, 409
What are the prime factors of (14 + 6703)*(10/6)/5?
2239
Let m(j) = j - 3. Let t be m(5). Suppose -t*n + 0*n + 12 = 0. What are the prime factors of 57/n - (-18)/(-12)?
2
Let u = -54 + 55. Let d(q) = 16*q**2 + 2*q - 2. List the prime factors of d(u).
2
Suppose 4*n = 6*y - 5680, y + 4*y + 2*n = 4760. What are the prime factors of y?
2, 5, 19
Let z(q) = -7*q**3 + 6*q**2 + 11*q + 5. Let c be (-3*4/20)/((-4)/(-20)). List the prime factors of z(c).
5, 43
Let u(k) = k**3 - 4*k**2 + 3*k + 3. Let o be u(3). Let b be (66 + o + -5)/1. Suppose 91 = 5*f - b. What are the prime factors of f?
31
Suppose 0 = -5*v - 4*j + 3439 + 1114, -3*v + 4*j = -2719. List the prime factors of v.
3, 101
Suppose -5*v - 489 = -4739. Suppose 11*i - v - 2769 = 0. List the prime factors of i.
7, 47
What are the prime factors of (112/84)/((-4)/(-13659))?
29, 157
Let q(b) = -186 - b + 0*b - 3*b + 171. Suppose 22 = -3*v - 14. List the prime factors of q(v).
3, 11
Suppose -6*t + 12 = -2*t. Suppose 0 = t*x + x - 508. What are the prime factors of x?
127
Let k(s) = -35*s**3 + s**2 + 7*s + 2. List the prime factors of k(-2).
2, 17
Suppose -5*d = 66 - 46. Let w(n) be the second derivative of -7*n**3/6 - n**2 - n. List the prime factors of w(d).
2, 13
Let k be 7/(7/8) - 4. Suppose k*u - 194 = 122. What are the prime factors of u?
79
Let f = 95 - -252. List the prime factors of f.
347
Let f = -26 + 30. Suppose -5*b - 8 = -3*b, f*y - 432 = 3*b. What are the prime factors of y?
3, 5, 7
Suppose 2*r + 15*r - 34136 = 0. List the prime factors of r.
2, 251
Suppose -4*h = -0*u + 4*u - 12, -2*h + 2*u = -22. Let i = 20 + h. Suppose -i = 4*p - 5*j - 69, 2*j = -4. What are the prime factors of p?
2
Let s be (-8112)/(-64) - 3/4. Suppose -5*b - 5*l = -365, -2*b + 3*l + s = l. List the prime factors of b.
2, 17
Let a be (-6 + 5)*6/(-2). Let y be 2/a*(-2 + 5). Suppose 15 + 19 = y*b. What are the prime factors of b?
17
Let z = -21 - -66. Let i = 87 - z. List the prime factors of i + -3 + (-12)/(-3).
43
Let a be ((1404/(-15))/4)/((-1)/5). Let q be (-2 - 2)*6/(-8). Suppose -6*n + n - 2*g = -118, 0 = -5*n - q*g + a. What are the prime factors of n?
2, 3
Let n = -30 + 28. Let r be (-6)/(-1)*n/(-3). List the prime factors of (47 + -2)/(4/r).
3, 5
Let h(o) = -1 + o**3 - o**3 - o**2 - 4*o**3 + o. Let b be h(1). Let f = b + 18. List the prime factors of f.
13
Let z be 12/(-42) + (-60)/(-14). Let i be (-2 + 8 + 1)*1. What are the prime factors of 12*z/(12/i)?
2, 7
Let d(v) = -795*v**3 - 1. Let p be d(-1). Suppose -4*j - p = g - 4*g, 3*g + 5*j = 803. Suppo | {
"pile_set_name": "DM Mathematics"
} |
8 = -4*u, 2*u - 5 = -4*q + 3. Solve p = -u*s + s + 4 for s.
-4
Let b(j) = -j**3 + 9*j**2 + 2*j - 17. Let t be b(9). Let c(g) = 10*g**2 - g - 1. Let y be c(t). Solve -2*x - y + 2 = 0 for x.
-3
Let q be 12/(-9)*((-23)/2 - -7). Solve -3*f + 15 = -q*f for f.
-5
Suppose 5*j + 20 = -5*f, -2*j - 21 = -2*f - 29. Solve 0*m - 3*m - 10*m = j for m.
0
Suppose -2*b = -0*b - 18. Let p(o) = -2*o + 63. Let y be p(29). Solve -6 - b = y*n for n.
-3
Suppose -2*l + 5 = -l. Suppose 14 = -4*g + 34. Suppose 2*v + 11 = -0*v - 3*w, 0 = -4*v - g*w - 17. Solve 0 = l*t - 3*t + v for t.
-1
Let c be (-30)/(-8)*16/3. Suppose -m - 8 = -4*m - 2*b, -4*m = -2*b - c. Suppose -3*s = -3, 0 = o - m*s + 2 - 0. Solve -o*j + 2 = -4 for j.
3
Let a = -662 + 664. Let k be (-15)/(-12) + 2/(-8). Let d be 4*(2 + 0/k). Solve a*w = 4*w - d for w.
4
Suppose 5*a + 2 - 12 = 0. Suppose 191 = 5*u - 2*v, -u = a*u - 2*v - 113. Suppose 86 = 5*q - u. Solve -4*m + q = m for m.
5
Let y(s) = 2*s**2 + 55*s + 31. Let f(k) = -k**2 - 28*k - 15. Let a(c) = 11*f(c) + 6*y(c). Let i be a(-21). Solve -2*o + 0 + 8 = i for o.
4
Suppose -3*z = 6, 4*i + 49 = -4*z + 9. Let v be 100/16 - (-2)/i. Suppose -l + 20 = 3*n, -6 + 11 = 4*n - 3*l. Solve 4 = n*d - v for d.
2
Suppose 2*t + 0*t + 11 = -f, 3*f + t + 8 = 0. Let z be (-1 - f - -2) + -17 + 20. Solve 9 = 4*m + z for m.
1
Let m = 309 + -305. Solve 11*t = -4*t + m*t for t.
0
Let a(t) = t + 15. Let x be a(0). Let l be 6/(3 - 35/x). Let k be (-24)/16*(-12)/l. Solve 0 = -k*f + 6*f - 20 for f.
5
Let d(p) = -p - 8. Let u be d(-10). Suppose -3*g - 4*s + 20 = -0*g, g + s = 7. Solve -u*z + g = -6*z for z.
-2
Let x = 16 + -16. Suppose -n - 3*i = -x*n + 6, 3*i = -15. Let a be (-1)/1*(-11 + n). Solve 0 = 4*q + 6 + a for q.
-2
Let c = 755 - 752. Solve -36 = c*k + 9*k for k.
-3
Let l be 7/(-2) + (5 - 45/10). Let s be 56/24 - (-1)/l. Let j(n) = n**3 + 3*n**2 - 2. Let z be j(-2). Solve z = -d + s*d for d.
2
Let z(p) = -p**3 - 4*p**2 - p - 4. Let t be z(-3). Let h = -10 - t. Solve h = 2*y - 6*y for y.
0
Suppose 0 = -2*r + 4. Suppose k - 32 = -5*g, -44*k + 46*k - 5*g = 4. Let m = 7 - 1. Solve r*o - m*o = k for o.
-3
Let n = -16 - -21. Suppose -n*w - 50 = 4*m - 19, m = 2*w - 11. Let i be 3*((-3)/m - -2). Solve 0 = 2*p - i*p - 20 for p.
-4
Let l(o) be the first derivative of -3*o**2/2 + 48*o - 9. Let k be l(15). Solve 0 = k*g + 5 + 7 for g.
-4
Let g(k) = k**3 - k**2 + 3*k + 27. Let z be g(0). Solve 3*x = -z + 30 for x.
1
Let b = -888 + 904. Solve -31 = -b*n + 1 for n.
2
Suppose 5*h = -4*t + 71, 0*t + 3*t - 72 = -5*h. Solve 0 = -12*u + h*u - 6 for u.
2
Suppose -3*o - 84 = -5*o. Suppose -3*z = 2*q + z - o, 2*q - 5*z = 24. Let b = 18 - q. Solve -5*s - 16 = -b for s.
-3
Suppose -880 = -58*c + 47*c. Solve -21*f = -5*f + c for f.
-5
Let h be (-9)/(-6) - (1/(-2))/1. Solve h*r + 4*r + 18 = 0 for r.
-3
Suppose 102*u - 106*u = -8. Solve 0*y = y + u for y.
-2
Suppose -2*m + 2*c = m - 23, 5*c = -5*m + 5. Solve m*j = 1 - 6 for j.
-1
Suppose -42 = -17*n + 3*n. Let k(t) = -t**2 - 7*t + 11. Let w be k(-8). Solve -2*f + w = -n*f for f.
-3
Let c(l) = 6*l**3 + l**2 - 1. Let i be (-6)/(-1)*(-1)/(-6). Let y be c(i). Suppose 0 = -4*x + 7*x - y. Solve 3 = -x*g + 5 for g.
1
Let n be (-2)/(-12) - 2/(-12)*-79. Let o = n + 15. Solve o = -b + 3 for b.
1
Suppose -13*x = -0*x. Suppose -4*z - 20 = 5*p, -z - 2*p = -x*z + 8. Solve -5*l = -z*l + 15 for l.
-3
Let r be (-644)/(-184)*(-4)/(-7). Suppose 0 = -4*c + 12, -2*p - 5*c + 19 = -32. Solve p = 4*t + r for t.
4
Let p = -41 + 45. Solve -4*d + p = -0 for d.
1
Suppose 12 = -g + 5*g. Suppose 2 = -g*c + 14. Let y = 3 + -1. Solve 3*z - c = y*z for z.
4
Let p(g) = -g**3 + 15 - 2*g - 7*g**2 - 1 + 4*g. Suppose -k - 4 = 3. Let y be p(k). Solve y*o = o + 5 for o.
-5
Suppose -3*g = 4*x - 0*x - 22, 5*x - 3*g - 41 = 0. Solve 8*w = x*w + 4 for w.
4
Let m(p) = p + 1. Let a(z) = z**2 - 9*z - 8. Let y(g) = -a(g) - m(g). Let c be y(7). Suppose 5*l + 4 - c = 0. Solve 0 = l*x - 7 + 3 for x.
2
Let j = 6 + -16. Let p = -1 - j. Solve 2*y = -y + p for y.
3
Let h(k) = k**3 - 30*k**2 + 83*k - 18. Let u be h(27). Solve -13*o + o = -u for o.
3
Let o(v) = 16*v**2 - 3*v - 2. Let l(g) = g + 17. Let k be l(8). Suppose 2*p - 4 - 10 = -4*a, -5*a + k = -5*p. Let n be o(p). Solve 5*m = -n + 42 for m.
5
Let g = 573 - 562. Solve -g = 2*f - 7 for f.
-2
Suppose 265*b + 21 = 272*b. Solve m - 6 + b = 0 for m.
3
Let x = 33 - 41. Let y be (-6)/(-3) + (-6 - x). Solve -y*v - v = -25 for v.
5
Suppose 30*r - 408 = -38*r. Solve r*w + 5 = w for w.
-1
Let n(t) = -2*t**3 - 7*t**2 - 10*t - 2. Let q be n(-2). Solve -14 - 10 = -q*l for l.
4
Let n(t) = 7*t - 3*t**2 + 6 + 4*t**2 + 0*t**2. Let i be n(-8). Let f = i + -11. Solve 2 = -f*r - 4 for r.
-2
Let q be 15/((-2)/1*(-3)/6). Solve q = 7*p - 13 for p.
4
Suppose l - 4*l = -5*n - 616, -5*l - n = -1036. Solve -l*o = -208*o + 2 for o.
2
Suppose -1885*s + 1902*s = 1003. Solve -s*o + 6 = -56*o for o.
2
Let l(a) = 9*a**2 + a + 4. Let v(k) = 4*k**2 + 2. Let g(z) = -3*l(z) + 7*v(z). Let o be g(2). Solve o = 4*w - 2*w - 6 for w.
3
Let p = 17 + -19. Let z be -3 + 28 + 0/p. Suppose -j = -5*g + 25, 2*g - 23 = j + 2*j. Solve -5 = -g*d - z for d.
-5
Suppose -8*a - 2*a = 0. Solve a = 2*t + t + 15 for t.
-5
Let m(h) be the third derivative of -7*h**4/12 + h**3/6 + 3*h**2. Let u be m(-1). Let b be 312/54 - 2/(-9). Solve b*o - o = u for o.
3
Suppose 0 = 5*y - 2*u - 27, -12*u + 8*u = -y + 9. Let t(z) = z**2 - z + 2. Let o = 6 + -4. Let r be t(o). Solve w + r*w = y for w.
1
Let k(v) = -v**3 + 6*v**2 - 5*v + 7. Let h be k(5). Suppose -4*u = -h - 13. Solve -4*l - 11 = u for l.
-4
Let p be 12/(-42) + (-144)/(-14). Suppose -4*c + p = c. Suppose -g + 7 = 2*d, c*g - 15 = -3*d - g. Solve d*v + 20 = -3*v for v.
-4
Suppose 0 = -26*a + 46 + 448. Solve -4*l - a - 1 = 0 for l.
-5
Let b(g) = -g**3 - 4*g - 5. Let a be b(-4). Solve 0 = a*h - 73*h - 6 for h.
3
Let k = -13929 - -13929. Let n(w) = -w**2 - 3*w + 2. Let c be n(-3). Solve c*f = -k*f - 8 for f.
-4
Let x = 1049 + -1043. Solve x*u + 192 - 174 = 0 for u.
-3
Suppose 16 = 5*y - 4. Suppose -2*w + 2*r - y*r - 16 = 0, 0 = 5*w - 5*r + 50. Let o be (-6)/(-4)*(-24)/w. Solve -4*h - 16 = -o for h.
-3
Let n be (102/(-221))/(2/(-13)). Suppose -2*o + 15 = 5*q, -110 = -5*o - 0*q + 2*q. Solve 0 = n*l + l + o for l.
-5
Let k = -805 + 810. Solve k = 16*n - 11*n for n.
1
Let h be (7 - 8)/(2/94). Let d = -43 - h. Solve d*m = -20 - 0 for m.
-5
Let g be ((-264)/36)/(3/9 - 1). Solve -2*m = 15 - g for m.
-2
Suppose -978 = 8*k + 278. Let g = k + 163. Solve -j = -g*j for j.
0
Let q be (3 - 21)/(-3) - 2. Suppose 0 = 3*r - q*j - 19, 2*j + 0 = -2. Solve -3*a + r*a = 8 for a.
4
Let y = -2 + 37. Solve -y = -6*b - b for b.
5
Suppose -3*d + 3*v + 13 + 5 = 0, 5*d - 21 = 2*v. Solve -d*i - 4*i = 0 for i.
0
Suppose 285 = 3*x + 3*s, 2*x + 0*x - 181 = s. Suppose 5*a = -18*a + x. Let n be 1/(-2) - (-9)/2. Solve -a = 2*i + n for i.
-4
Suppose 4*q - 65 = -q. Let d = q - 11. Suppose -3*k = 14 - 5, d*r - 2*k = 12. Solve l - 4*l = -r for l.
1
Suppose -17*z + 3 = -18*z. Let s = z + 8. Solve s*g = 12 + 3 for g.
3
Suppose -13 = k + 6. Let r = -19 - k. Solve 4*x + x + 10 = r for x.
-2
Suppose -4*g = 3*y + 2, 2 = 4*y + 2*g - 2. Let v(s) = -2*s - 4. Let a be v(-4). Suppose -2*c + 0 + 4 = 0. Solve 0 = c*l - a*l - y for l.
-1
Suppose 10 = 5*b - 3*b. Solve 0 = b*h - 2 + 27 for h.
-5
Let i(n) = -n**3 - 15*n**2 - 14*n + 1. Let z be 9/(-4 - (-2 - 1)). Let m be (z/(9/14))/1. Let x be i(m). Solve 2 = 3*d - x for d.
1
Let k be (-4 - (-2 - -1)) + (13 - 10). Let g be (-14)/(-4)*(-1)/(-7)*k. Solve -j - 3 - 2 = g for j.
-5
Let u(v) = v - 68. Let k(l) = -34. Let r(w) = -7*k(w) + 3*u(w). Let i be r(-10). Suppose 0 = -5*m - 2*g - 2*g + 25, -3*g + 20 = 5*m. Solve 0 = s + m - i for s.
3
Let b(u) = u**3 + u - 2. Suppose -3*r + 2*p = 2*r - 13, 0 = 2*r + 3*p + 10. Let c be b(r). Solve c = 3*v - 19 + 4 for v.
5
Let a be (-10 - 3) + (3 - 2). Let o = -9 - a. Suppose -2*b - o*b - 20 = 0, 4*g + 5*b = -12. Solve 8 + 2 = g*y for y.
5
Suppose -40 + 0 = -5*i - 5*d, -3*i = -5*d. Suppose -2*w = 6, 5*y + 2*w = 3*w + 23. Suppose y*u + 4 = 6*u. Solve -c + u*c = i for c.
5
Suppose -3*d + 6*d + 20 = 4*v, -3*d = 0. Solve -v*l + 3*l = 4 for l.
-2
Let v(y) = 12*y**2 + 5*y - 6. Let q be v(1). Suppose -1 = 3*c + q, -h = 4*c + 16. Solve h = | {
"pile_set_name": "DM Mathematics"
} |
3. Let i be j(2). Let s be 336/102 + (6 - 10). Is i at least as big as s?
False
Let x be ((-1986)/(-18))/(2/(-2))*-3. Is x smaller than 333?
True
Suppose -4*q = 11 + 1. Let o be 6/(-9)*q/(-54). Do o and 1 have the same value?
False
Let l(b) = -b**2 - 5*b + 3. Let d be l(-4). Suppose -5*r - 168 + 33 = 0. Let u = 35 + r. Are d and u equal?
False
Suppose 2*l + 9 = 5*c, 5*l = l + 4*c. Let d be (l/(-1) + 3)/1. Let u = 1 + d. Which is greater: u or 2?
2
Suppose -87 = 5*i - 3*k - 71, -17 = 4*i - k. Is -0.046 bigger than i?
True
Let w(z) = -z**3 - 7*z**2 - 8*z + 10. Let r be w(-9). Let a = r - 2194/9. Suppose -5*y + 19 + 1 = -5*p, -5*p - y = -10. Which is bigger: p or a?
p
Let d be ((-1)/(-2))/((-7)/14) + 284. Let k = 1965/7 - d. Which is smaller: -2 or k?
k
Let l = -348 - -348. Is l <= -1/824?
False
Suppose 3*p + 5*s - 6 = 1, 5*p - 3*s + 11 = 0. Let g = 16498/75 - 220. Is g less than p?
False
Let r be 92*((-3)/1 - (-104)/32). Let l be r/9 + (-24)/6. Which is smaller: -0.1 or l?
l
Let j be -2 - (2 - (-134)/(-33)). Let a = -232 + 232. Are j and a equal?
False
Let t be 28/21*(-3)/2. Let x be (t + 134/66)*(-23 - -20). Which is smaller: -2 or x?
-2
Let k(u) = -38*u - 607. Let r be k(-16). Is r smaller than 11/32?
False
Let g(v) = 0*v - 3 - v - 4 + 0. Let y be g(-10). Suppose 2*x = 2*z, -5*z = -2*x + y*x. Which is smaller: x or -1?
-1
Let r = 2.317 + -0.017. Let x = -2.35 + r. Which is smaller: x or -0.1?
-0.1
Let b be (12 + 0)*510/340. Which is smaller: b or 37/2?
b
Let r = 195 - 213. Which is smaller: -200/11 or r?
-200/11
Let x(b) = b + 12. Let a be x(0). Let g be (-10)/a - 16/(-24). Is 0 smaller than g?
False
Suppose -2*a + 14 = -4*n, -5*n - 2*a + 7*a = 25. Let d(p) = -p**2 + 1. Let c be d(n). Which is greater: 2 or c?
2
Suppose 0 = 2*n - 6 + 78. Let z = n - -38. Which is smaller: z or 9/11?
9/11
Let a = -508.948 - -509. Which is smaller: a or 1?
a
Let v = -1.6 - -1.3. Suppose 0 = -2*z + z - 1. Let y be (-1)/z - (-2)/4. Is v smaller than y?
True
Let j(w) = -2*w - 4. Let d(x) = x**3 + 4*x**2 - 5*x - 6. Let v be d(-5). Let n be j(v). Let p be (-4)/n - 1/(-2). Is p at least as big as -2/11?
True
Let k = 455 + -329. Which is bigger: -1 or k?
k
Suppose 13*o = 15*o + 634. Is -317 > o?
False
Let v be 0 + (-2)/9 - 423/(-81). Suppose v*m - m + 8 = 0. Which is smaller: -9/11 or m?
m
Suppose -8*p + 152 = -4*p. Let h = -38 + p. Is h less than or equal to -2/45?
False
Let v(t) = -112*t - 15. Let b be v(1). Which is smaller: -129 or b?
-129
Suppose -5*z + 3*z - 118 = 3*s, 0 = -4*s + 2*z - 162. Let i be (1 - s/(-4))*-1. Let j be (8/6)/(3/i). Which is smaller: 0 or j?
0
Let q = 160663/41 - 3920. Which is smaller: q or 0?
q
Suppose -3*b + 4*w - 246 = 0, 3*b = 6*b + 4*w + 270. Is -86 greater than b?
False
Suppose 9 = 3*k - 3*l, 4*k - 3*k + 6 = -2*l. Let v be 15/3 + k - 0. Suppose v*w = 2*w. Is 6/11 at most as big as w?
False
Let m be (-16)/20 + 1295/1775. Which is greater: 1 or m?
1
Suppose 3*f - 5*u + 30 = 0, 2*f - 2*u = -2*f - 40. Which is greater: f or -12?
f
Let f = -0.09 - -0.46. Let z = -0.47 + f. Which is bigger: z or 4?
4
Let t = 28 + -24. Suppose -t*y - 24 = -2*y. Is -12 at most y?
True
Let k = 74 + -44. Suppose 3*v - k = 5*y, -y + 2*v - 6 = -2*v. Let l(i) = -i**2 - 5*i - 5. Let g be l(y). Which is greater: g or -13?
g
Let x be 0*(-3)/(-2 - -5). Is x less than or equal to 1/63?
True
Let q = -3713/10 + 372. Let p be 8/(-40) - (-1 + 4). Let w = q + p. Which is smaller: w or -3?
-3
Suppose -5*c = -2*c + 90. Let f = -14/9 + 17/9. Is c equal to f?
False
Let m = -2/9 - -13/18. Let v = 3 - -11. Let g = 12 - v. Which is smaller: m or g?
g
Let m(l) = -16*l + 58. Let b be m(-2). Is b equal to 177/2?
False
Let w be (-1)/4 - 393/(-1540). Are w and 1 unequal?
True
Let v = 60 + -55.8. Let m = v + -4.4. Which is bigger: m or 0.1?
0.1
Let j = -1549 + 1523. Are j and 26 nonequal?
True
Suppose -2*t - 2*t - 28 = 2*i, -56 = 4*t - 5*i. Suppose -4*d + 398*y - 395*y - 25 = 0, -2*d = 3*y + 35. Which is smaller: t or d?
d
Let q be (6/6)/(2/12). Suppose -1 = r - q. Suppose 0 = 3*a - 3*v - 3, -r = 4*a - 4*v + 3*v. Are -7/4 and a nonequal?
True
Let i = 40 - -2. Let l = 41 - i. Is l < 0.11?
True
Let f be 3/((-9)/2772*-2). Which is bigger: 461 or f?
f
Let r = 24 - 9. Suppose -4*o + 3*o = 4*t - 8, -3*t - r = -o. Let v be (20/(-75))/(o/10). Are 5 and v nonequal?
True
Let t = 2 - -4. Let s be (-9)/t*(-8)/36. Are -1 and s equal?
False
Let q = -150 - -151. Suppose -5*w + 30 = -2*w. Let i be (-9)/w*24/(-18). Is i less than or equal to q?
False
Suppose -5*s = -5*t - 110, 2*s + 3*t = t + 52. Let m be -2 + 0 - s/(-10). Is m at least 30?
False
Suppose 0 = 3*t - 3*s + 8*s + 4, 0 = t + 4*s + 13. Which is greater: 62 or t?
62
Let t be ((-15)/25)/(-2 - (-1)/2). Is t less than 3010?
True
Let u be (-1 + (4 - 1))*1. Let s be ((-16)/144)/(u/(12/(-34))). Is 0 >= s?
False
Suppose 0 = -3*v - 2*v + 20. Suppose 0 = 4*s - v*j - 16, -5 = 5*j - 0. Let u = 743 - 743.1. Is s greater than or equal to u?
True
Let l = 16 + -28. Let t be (-3)/l + -2 + 259/20. Is t at least as big as 10?
True
Let n be ((-8)/(-72))/((-4)/(-18)). Are -111/2 and n non-equal?
True
Let h(u) = u**2 - 2*u - 9. Let v = -55 + 59. Let b be h(v). Which is bigger: b or 3/20?
3/20
Let f(t) = -t**2 + 3*t + 4. Let m be f(4). Let w = 1947 - 1953. Is w less than m?
True
Let i(x) = -x**3 + 12*x**2 + 30*x + 4. Let r be i(14). Is r <= 34?
True
Let f = 490/14841 - 4/153. Let i = f - 628/6693. Which is greater: i or -1?
i
Suppose 2*f - 4*r - 4 = 0, -4*f + 17 = -2*r + 3*r. Suppose -20 = -9*m + f*m. Let b be (-2)/(-8) - 5/m. Is -1/8 not equal to b?
True
Let m(w) = -w**2. Let n(o) = -3*o**2 - 16*o + 10. Let h(y) = 2*m(y) - n(y). Let t be h(-16). Let f be 10/25*t/18. Are f and 0 equal?
False
Let x = -5.22 - -2.25. Let q = -0.03 + x. Let t be 2/(5 - 4)*(-2)/4. Which is greater: t or q?
t
Let m = 805.7 - 806. Is -128 greater than m?
False
Let s = 6 - -6. Let y = -2 - -13. Let v = y - s. Does v = -1/17?
False
Let o be (2/6)/(6/(-4)). Let q = 807 + -808. Is o > q?
True
Let p(m) = -7*m + 2. Let k be p(8). Let b be -57 + (0 - 5 - -8). Is b <= k?
True
Let g(o) = 2*o - 20. Let j(b) = b - 7. Let x(l) = 6*g(l) - 17*j(l). Let c be x(-1). Suppose -p - 5 = c*p. Is -2/9 less than p?
False
Let m be ((-6)/(-2))/6*26. Suppose -5*r - 2 = m. Let q be ((-1)/3)/(r/18). Is q greater than 3?
False
Suppose v = -0 - 16. Let i = -98 - -113. Let w = i + v. Which is bigger: -2/11 or w?
-2/11
Suppose -76 = -1054*l + 1058*l. Suppose 4*g + 0*g = -80. Are l and g equal?
False
Let h be (-21)/12*(-7 - 1). Let m = h - 11. Is m > 4?
False
Suppose -40 - 100 = -10*f. Which is bigger: 5 or f?
f
Let j be (-2)/10 + (-39)/260*-4. Is j <= 462?
True
Let m(w) = 8*w + 16. Let x be m(-2). Is -47 less than x?
True
Suppose -25 - 5 = 2*h - 2*q, -2*q + 50 = -3*h. Let b be ((-55)/h - 3)/(1/2). Which is smaller: b or -0.03?
b
Let q = 1838/255 + -2/255. Is 6 smaller than q?
True
Let j be -3 - 4*(63/12)/7. Let w be 45/(-105)*(-20)/j. Which is bigger: w or -2?
w
Let a = 96.76 + 1.24. Let z = a + -97.9. Which is smaller: z or -64?
-64
Suppose -6 = 4*m - 3*x - 41, 3*m - 4*x = 28. Suppose 6*b = 3*b. Let v(j) = -j**3 + j**2 - j + 8. Let o be v(b). Is o equal to m?
True
Let o(c) = -c**2 - 2*c + 4. Let v be o(-4). Let s be (-4)/12 - 76/(-3). Suppose 0 = -5*j - s, -4*y = 2*j - 7*j - 9. Does v = y?
True
Let b = 98304220/8313 + -201020/17. Let x = -2/163 - b. Is x greater than or equal to -2/21?
False
Let k = 2.8 + 0. Let o = k + -12.8. Which is smaller: o or 1/2?
o
Let d(t) = -34*t - 1045. Let a be d(-31). Are -28 and a equal?
False
Let m = -3 + 3. Suppose -f = -3*k - 1 - 6, -3 = 3*k. Let j be (6/20)/(f/5). Which is greater: m or j?
j
Let o be ((-13)/(-39))/((-1)/3). Let v = -2861/36 - -159/2. Which is smaller: o or v?
o
Suppose 29*u - 1472 = -7359. Which is greater: -204 or u?
u
Let a be ((-3)/(-9))/(1/(-3)). Let f be (0 + a)/((-16)/9520). Let b be (-5)/(-3)*34/f. Which is smaller: b or 1?
b
Let d = 3.3 + -2.3. Let a = d + -0.8. Which is greater: a or -0.13?
a
Suppose -r - 5*d = -607, 0 = 3*r + d + 3*d - 1832. Let i be ((-3)/(-2))/(27/r). Which is bigger: i or 33?
i
Let n be 2/24*32/(-6). Let r be (-28)/(-10) + -1 + 12/10. Suppose 5*i + r + 12 = d, -5*i = 15. Which is smaller: n or d?
n
Let n be (0 + (-69)/6)*2. Let u = | {
"pile_set_name": "DM Mathematics"
} |
git of -1*(-2 - -3)*a?
1
Suppose 3*v - 42 = -3*i, v = 2*i + 20 + 3. What is the tens digit of v?
1
What is the units digit of -20*(-4 + 68/20)?
2
Suppose b + 4*b = 130. What is the units digit of b?
6
Suppose 5*v - 2*v - 3 = 0. Let i(t) = 38*t**2 - 2*t + 1. What is the units digit of i(v)?
7
Suppose -5*q + 2*t = -540, 4*q - 32 = 2*t + 398. Suppose 4*z = -z, 5*w + 5*z = q. Let o = w + -13. What is the units digit of o?
9
Let f(o) = o + 1. What is the units digit of f(4)?
5
Suppose -2*p - 3*j = -127 - 192, 0 = 2*p - 2*j - 324. What is the tens digit of p?
6
Let l = 19 - -5. Suppose 4*m + 0 - l = 0. What is the units digit of m?
6
Let q be ((-12)/7 - -2)*7. Let s(v) = -3*v - 4 + 7*v**q + 4 + 4*v. What is the units digit of s(-1)?
6
Let a be 0/((-4)/6*3). Let d(n) = -n**2 + 18. Let b be d(a). Suppose 0 = 3*q - 0*q - b. What is the units digit of q?
6
Suppose -13*b + 552 = -5*b. What is the units digit of b?
9
Let y(p) = -p**3 - 7*p**2 - 2*p + 4. Let t be y(-7). What is the units digit of (t/(-4))/(3/(-6))?
9
Let w be 176 + (-2 + -1)*1. Suppose -5*j + 175 = 5*o, 3*j + 2*j + 3*o = w. What is the units digit of j?
4
Let v(z) = 2*z**2 + z + 2. Let i be v(-5). Let d(c) = -2*c - 12. Let q be d(-6). Suppose 5*j - 4*b = i, q = 3*j + 3*b - 18 - 21. What is the tens digit of j?
1
Let z be ((-8)/12)/((-2)/9). Let u(n) = 2*n - n**3 - 5*n**z - 3*n**3 + 1. What is the units digit of u(-1)?
8
Let f = 22 + 29. Suppose -5*d + 34 = a - 0*a, -3*a + 2*d = -f. Suppose -3*b + a = -2. What is the units digit of b?
7
Suppose -5*n + 39 = -3*f - 26, 3*n - 5*f - 55 = 0. What is the units digit of n?
0
Let n = -104 - -176. What is the tens digit of n?
7
Suppose 0 = -3*o + 2*o + 2*w, 3*o - 7 = -w. Let a(x) = x**2 - 11*x + 9. Let n be a(11). Suppose -f = -2*l + n, -f + l + o = 6. What is the units digit of f?
1
Suppose 2 + 1 = 3*g. Let j(q) = 7*q**2 + 1. What is the units digit of j(g)?
8
Let c = -5 + 7. Let l be 16/(-56) + c/7. Suppose -3*m + 12 = -l*m. What is the units digit of m?
4
Suppose 2 = -3*b - 1. Let r(o) = -19*o + 1. What is the units digit of r(b)?
0
Suppose -204 = -2*n + 356. What is the units digit of n/12 + 1/(-3)?
3
Let a(j) be the first derivative of 2*j**3 - j**2/2 - 1. Let y = 2 + -3. What is the units digit of a(y)?
7
Let g = 42 - 24. Suppose 0 = -2*k + g + 4. What is the units digit of k?
1
Let p = -27 - -70. What is the tens digit of p?
4
Let k(o) = 10*o + 3. Let b be k(-2). Let w(h) = 13*h**2 - 7*h + 5. Let f(i) = -39*i**2 + 20*i - 14. Let u(q) = b*w(q) - 6*f(q). What is the tens digit of u(-1)?
1
Suppose -6*z - 40 = 5*m - 3*z, -25 = -5*z. Let k = 15 + m. What is the units digit of k?
4
Let j be (-18)/(-6) - (-47 - -2). What is the units digit of j/(-10)*(-90)/27?
6
Let o(s) = s**3 - 7*s**2 + 7*s + 3. Let y = 19 - 13. What is the units digit of o(y)?
9
Suppose s = -3*s + 432. Let u be (s/16)/(6/32). Suppose 7 = -3*c - r + u, -1 = c + 3*r. What is the tens digit of c?
1
Suppose -l + 5*o + 7 = l, l - 4*o = 8. Let x(y) = 5*y + 1. Let k(p) = 6*p + 2. Let n(h) = 4*k(h) - 5*x(h). What is the units digit of n(l)?
7
Suppose -4*q + 12 = -0*q. Suppose -q*n = -3*r, 5*r + 2*n - 4*n - 12 = 0. Suppose -2*z + 3*c = -8, r*z + 5*c - 31 = 7. What is the units digit of z?
7
Let m = -4 + 7. Let l(p) = -3*p + 4. Let d be l(m). Let h(g) = -g**2 - 8*g - 7. What is the units digit of h(d)?
8
Suppose -3*d + 166 + 228 = 5*y, -160 = -2*y - 2*d. What is the tens digit of y?
7
Let k = 1 + -1. Suppose -j - 6 = -k*j. What is the units digit of 10/(-15) - 34/j?
5
Let x = 9 - 19. Let d = -1 - x. What is the units digit of d?
9
Suppose 0*b = -5*b + 50. Let x be b/(-35) - 16/(-7). Let h(k) = k**2 + 2. What is the units digit of h(x)?
6
What is the tens digit of (-4 + -8)/((-6)/8)?
1
Let u be 129/4 - (-2)/(-8). Suppose 3*a = -5*s + u, 3*s + s = 2*a + 8. What is the units digit of s?
4
Suppose -3*j - 23 = -5*o - 4, j - 5*o + 23 = 0. Suppose 6 + 0 = j*v. Suppose 4*k - 1 = v. What is the units digit of k?
1
Let p be (-1 + 3)/(2/4). Suppose 21 + 7 = p*w. What is the units digit of w?
7
Let w(s) = -s**2 + 11*s + 8. What is the tens digit of w(6)?
3
Let b(f) = -6*f + 11. What is the units digit of b(-6)?
7
Let s(n) = -8*n - 9. What is the tens digit of s(-6)?
3
Let b = 133 - 89. What is the tens digit of b?
4
Suppose 3*j = -0*j + 18. What is the units digit of j/4*1*2?
3
Suppose 3*a = -3*k, -2*a - 18 = -6*a + 2*k. Suppose 3*d = -0*d - a. What is the units digit of d*(-3)/(4 - 1)?
1
Suppose 0 = u + 4*z, 5*u + z - 15 - 4 = 0. Let d = -2 + u. Suppose x - 12 = d. What is the units digit of x?
4
Suppose -5*w + l = -4*w - 21, -l = 0. What is the units digit of 216/w + 6/(-21)?
0
Suppose -2 = -0*b + 2*b. Let r = b - 2. Let l(u) = u**3 + 2*u**2 - 3*u + 2. What is the units digit of l(r)?
2
Let k(b) = -b**3 - b**2 + 2*b + 2. Let j be k(-2). Suppose j*m - m - 13 = 0. What is the units digit of m?
3
Let a(b) = 4*b - 10. What is the units digit of a(29)?
6
Suppose 2*f + 68 = 4*v + 4*f, 5*v - f - 71 = 0. What is the units digit of v?
5
Suppose 0 = -r + 2*r - 4. Suppose 6*o + 8 = 2*o, -r*z + 5*o + 70 = 0. What is the units digit of z?
5
Suppose 5*w = w + 20. Suppose -39 = -2*h + w*f, 0 = -4*h - 5*f - 1 + 4. Suppose 0 = -x - 0*x + h. What is the units digit of x?
7
Suppose -5*a = -15, -29 = -y - a - 4*a. Let m = y - 0. What is the units digit of m?
4
Suppose 0 = -2*w + 16*w - 2394. What is the units digit of w?
1
Let w(b) = -8 + 6 + b**2 + 3 + 4*b. What is the units digit of w(-7)?
2
Let t = 40 + 82. Suppose -4*y + v = -t, v = y - 11 - 18. Let x = y + -17. What is the tens digit of x?
1
Suppose -4*i = 4*a - 42 - 34, -44 = -2*a + i. What is the tens digit of a?
2
Suppose 24 = 2*a - q, 0 = 4*a + 2*q - 19 - 37. Suppose -c + 2*h + a + 41 = 0, -5*h = -c + 66. What is the units digit of c?
6
Suppose 7*k = 9*k - 48. Let t = k + 17. What is the tens digit of t?
4
Let w(t) = 70*t - 4. What is the hundreds digit of w(2)?
1
Let n be 3 + -2 - (1 + 0). Suppose n = 4*m + 4*l + 12, 0 = 2*m - 7*m - 3*l - 7. What is the units digit of m?
1
Let r = 93 + -8. What is the tens digit of r?
8
Suppose 0*x + 45 = -x. Let j = -158 + 95. Let o = x - j. What is the units digit of o?
8
Let s = 45 - 20. What is the units digit of s?
5
Suppose 0 = 3*l - 0*z + 4*z - 27, 4*z = 3*l - 3. What is the units digit of l?
5
Suppose 0 = 6*u - 2*u + 48. Suppose -n = -0*v + v - 19, 2*n = -5*v + 86. What is the units digit of v/3 + (-8)/u?
6
Let u(h) = 3*h - 1. Let k be u(3). Suppose -s + 3 = -k. What is the units digit of s?
1
Let f be (-68 - 1)*(-1 + 10). What is the units digit of f/(-45) + (-2)/(-10)?
4
Suppose -2*k = k + 60. What is the units digit of -4 - -7 - k/2?
3
Suppose -2*t + 4*t = 0. Suppose 0 = -t*f - 2*f + 3*a + 15, 4 = 4*a. What is the units digit of f?
9
What is the units digit of 4/((-16)/(-28)) - -3?
0
Let y be ((-5)/(-3))/(4/(-12)). Let d(b) = -b**3 - 5*b**2 - b - 2. Let h be d(y). Suppose -r + h = -5. What is the units digit of r?
8
Let f = 32 + -15. Suppose f = r + 2*w, 3*r - 2*r - 12 = 3*w. Let b = r + -10. What is the units digit of b?
5
Let v(f) = 22*f**2. What is the units digit of v(1)?
2
Let q(r) = r**2 - 4. Let u = -3 + 0. Let a be q(u). Suppose 0*t - 25 = -a*t. What is the units digit of t?
5
Suppose 3*y = 2*y + 1, 694 = -4*v - 2*y. Let u = v - -252. Suppose -4*t + u = -6. What is the tens digit of t?
2
Suppose 4*u = 3*r - 47, -2*u + r = 4*r + 1. Let m = 13 + u. What is the units digit of m?
5
Let l(x) = -2*x + 2. What is the units digit of l(-2)?
6
Let h(m) = m**3 - 15*m**2 - 22*m - 4. What is the units digit of h(17)?
0
Let j(c) = c**2 + 4*c - 2. Let w be j(-4). Let l be (4/2 - 0) + w. Suppose a - 5*z - 6 = 0, l = -3*a + 2*z - 6*z + 37. What is the tens digit of a?
1
Suppose -140 = -36*r + 31*r. What is the units digit of r?
8
Suppose 5*z = -x + 25 + 61, -z + 4*x + 13 = 0. What is the units digit of z?
7
Let v be (-2)/(-5) + (-51)/15. Let z be (-6)/(-1) - (v - -4). What is the units digit of z*(9/(-5))/(-3)?
3
Let y(u) = -u + 3. Let j be y(-14). Let r be (-1 + 31)*(2 - 1). Suppose 3*l + t = 2*t + j, 0 = 2*l + 4*t - r. What is the units digit of l?
7
Suppose 3*q - 4 = q + r, -2 = 4*q + 3*r. Let l be 0 + (q - 1) - 12. Let t = -5 - l. What is the units digit of t?
7
Suppose -2*f + 12 = 2*f. Suppose f*o = 2*o. Suppose 0 | {
"pile_set_name": "DM Mathematics"
} |
41310*k*r**2 + 4
What is the second derivative of -2*f*k**4 + 2*f*k**2 + 5*f*k - 7*f - 8*k**4 - 5 wrt k?
-24*f*k**2 + 4*f - 96*k**2
Find the second derivative of -4*b**3*h*x**2 - 3*b**3*x + 27*b**2*x**2 + 4*b*h**2*x**2 + 315*b*h**2 - h*x wrt x.
-8*b**3*h + 54*b**2 + 8*b*h**2
What is the second derivative of 35*t**4*x - t**2*x**2 + 17*t*x - x**2 wrt t?
420*t**2*x - 2*x**2
Find the third derivative of -659*d**3 + 2*d**2 + 3*d - 124 wrt d.
-3954
What is the third derivative of -f**3*o**3 + 2*f**3*o**2 + 2*f**2*o**4 - 2*f*o**2 + 5321*o**3 + 1727 wrt o?
-6*f**3 + 48*f**2*o + 31926
Find the third derivative of -2*s*w**4 - 4*s*w**3 + 2*s*w**2 - 36*s + 4*w**4 + 11*w**3 - 2*w**2 - 5*w wrt w.
-48*s*w - 24*s + 96*w + 66
Differentiate -13*b**3 - 2*b**2*i**3 + 65*i**3 - 3 with respect to b.
-39*b**2 - 4*b*i**3
What is the first derivative of -116*n**2 + 2*n - 119?
-232*n + 2
What is the third derivative of -8310*k**3 - k**2 + 4*k - 2?
-49860
What is the third derivative of 312*n**6 + 2*n**3*z - 2*n**2*z - 1025*n**2 wrt n?
37440*n**3 + 12*z
Find the second derivative of -2*w**3 + 3024*w**2 + w - 3461 wrt w.
-12*w + 6048
What is the second derivative of -2192*o**2*v + 790*o + v wrt o?
-4384*v
Find the second derivative of -149*b**2 - 1005*b wrt b.
-298
Differentiate 8273*x**3 + 6443 with respect to x.
24819*x**2
Find the first derivative of 10985*j*o**2 - 7*j - 2*o**3 + 743 wrt o.
21970*j*o - 6*o**2
Find the second derivative of -497*y**4 + 3*y + 166.
-5964*y**2
Find the third derivative of -1845*p**3 + 2*p**2 + 1300*p wrt p.
-11070
What is the second derivative of -4*d**5*s - 71*d**4*s + d**3 + 411*d - 2*s wrt d?
-80*d**3*s - 852*d**2*s + 6*d
Find the second derivative of d**2*p**4 - 680*d**2*p**3 - d**2*p - 9478*p wrt p.
12*d**2*p**2 - 4080*d**2*p
Find the third derivative of -286*q*w**3 - 5*q*w**2 - 35*q - 18*w**3 + 2*w wrt w.
-1716*q - 108
Differentiate 3663*x**2 - 4*x - 16882.
7326*x - 4
What is the second derivative of -149*j**2 - 607*j?
-298
Differentiate -14*d**2*l**2 - 17*d**2 - 28*l + 3 with respect to l.
-28*d**2*l - 28
Find the second derivative of -4*j**2*z - 12*j**2 - 1213*j*z + j wrt j.
-8*z - 24
Find the second derivative of -10*i**4 + 167*i wrt i.
-120*i**2
Find the first derivative of 2*f*k*x*y + 3*f*k + 4*f*x*y + 2*f*y + 254*k*x*y + k*y wrt f.
2*k*x*y + 3*k + 4*x*y + 2*y
Find the second derivative of -24*r**5*y + 24*r**2*y + 19*r*y - 17*y - 1 wrt r.
-480*r**3*y + 48*y
What is the third derivative of 5307*d**3 + d**2 - 2775*d wrt d?
31842
Find the second derivative of -143*k**4 + 5*k**3 + 2*k**2 + 2*k - 197 wrt k.
-1716*k**2 + 30*k + 4
What is the third derivative of -2*d**5 - 319*d**3 + 7*d**2 + 8 wrt d?
-120*d**2 - 1914
What is the derivative of -a**2*c**2 - 5287*a**2*c*f - a*c**2 - 2*c**2 + 2*c*f - 2693 wrt a?
-2*a*c**2 - 10574*a*c*f - c**2
Find the third derivative of k**3*r*x - 28*k**3*r + k**3*x - 8*k**3 + 959*k**2*x - 4*k*r wrt k.
6*r*x - 168*r + 6*x - 48
Find the first derivative of n*p**3 + 154*n + 55*p**3 wrt n.
p**3 + 154
Find the first derivative of 2*d**3 + 3*d**2*m + 2*d*m**3 + 17*m**3 - 2*m wrt d.
6*d**2 + 6*d*m + 2*m**3
Differentiate -15*h**2 + h + 164 wrt h.
-30*h + 1
Find the third derivative of 390*k**4 - 7*k**3 + 9849*k**2 wrt k.
9360*k - 42
Differentiate 2*b**2*i**3 - 157*b**2 - 2*b*i**3 - 15*b*i wrt i.
6*b**2*i**2 - 6*b*i**2 - 15*b
What is the second derivative of -p**2*r - 4853*p**2 - 293*p*r + 10*p wrt p?
-2*r - 9706
What is the second derivative of -49*h**2*p**2 - 3*h**2 + 2*h*p**3 + 3*h - 37*p wrt p?
-98*h**2 + 12*h*p
What is the first derivative of 3*a*x**3 - a*x - 359*a wrt x?
9*a*x**2 - a
Find the third derivative of 5*c**2*r**4 - 7*c**2*r**3 - 4*c**2*r**2*t + 2*c**2*r**2 + c**2*r*t - 51*c*r**2*t + 3*r**4*t wrt r.
120*c**2*r - 42*c**2 + 72*r*t
Find the third derivative of -b**3*c**2*h**2 - 355*b**3*h**2 + 171*b**2*c**2*h + 2*b**2*c**2 + 2*b*h**2 wrt b.
-6*c**2*h**2 - 2130*h**2
Find the second derivative of -12*o*v**5 + 13*o*v**2 + 222*o*v - 3*o wrt v.
-240*o*v**3 + 26*o
Differentiate -2*h**4 - 116*h**2*k**3 + 2*h**2 - 105*k**3 with respect to h.
-8*h**3 - 232*h*k**3 + 4*h
What is the derivative of 32*d - 244 wrt d?
32
What is the second derivative of -7979*p**3 + 1851*p wrt p?
-47874*p
What is the third derivative of -8*a*c**3 - a*c**2*t - a*c - 117*c**3*t + 6*c**3 + 2*c**2*t + 100 wrt c?
-48*a - 702*t + 36
What is the third derivative of 2*c*q**4*t - c*q**3 + c*q**2*t - c*q**2 - 505*q**4*t - 76*q**2*t wrt q?
48*c*q*t - 6*c - 12120*q*t
What is the derivative of -354*w - 1041 wrt w?
-354
What is the third derivative of 20*t**4 + 68*t**3 - 3902*t**2?
480*t + 408
Find the second derivative of -2*p**4 - 3*p**3 + 60*p**2 + 8*p + 30.
-24*p**2 - 18*p + 120
Differentiate -x**3*z - 3*x**3 + 174*x**2 + 189*x*z**2 with respect to z.
-x**3 + 378*x*z
What is the third derivative of -r**4 + 57*r**3 + 13*r**2 + 7?
-24*r + 342
What is the second derivative of 33*a**3*f**2*q**2 + 2*a**3*q**2 + 71*a*f**2 - 4*a*f + 3 wrt f?
66*a**3*q**2 + 142*a
What is the first derivative of -2138*d**2 - 13940?
-4276*d
What is the derivative of 2*a**3 + 62*a*u**3 + 4*a*u - 5*u**3 - 78*u wrt a?
6*a**2 + 62*u**3 + 4*u
What is the second derivative of 162*f**2*w**5 - 85*f**2 - 2*w wrt w?
3240*f**2*w**3
What is the first derivative of r**3 + 13*r**2 + 141?
3*r**2 + 26*r
What is the second derivative of 73*j**5 + 3*j**3 - 562*j?
1460*j**3 + 18*j
What is the third derivative of 3360*l**3 + 6917*l**2 + 2?
20160
What is the derivative of -d**3 - 198*d**2 - 5*d - 5392?
-3*d**2 - 396*d - 5
What is the derivative of c**3 - 348*c**2 + 4*c + 17389?
3*c**2 - 696*c + 4
What is the first derivative of -2*g*s - 2450*g - 14*s**2 - 14*s wrt s?
-2*g - 28*s - 14
What is the first derivative of 5*h**3*i*q*z + 15*h**3*q - 2*h**2*i*q**2 + 29*h*i*q**2*z - 2*h*i*q**2 + 7*h*i wrt z?
5*h**3*i*q + 29*h*i*q**2
Find the second derivative of 3*a**5*d*f - 2*a**2*d - 23*a**2*f**3 + a*d*f + a*f - 3*d*f**2 - 9*f**3 wrt a.
60*a**3*d*f - 4*d - 46*f**3
What is the third derivative of -i**4 + 335*i**3 - 16*i**2 + 12*i wrt i?
-24*i + 2010
Find the second derivative of -11*j**5 + 10*j**2 + 451*j - 1 wrt j.
-220*j**3 + 20
What is the second derivative of -11*q*u**2 - 5*q*u*v**2 - 5*q*v + 36*u**3*v**2 - 4*u**3*v wrt v?
-10*q*u + 72*u**3
Find the third derivative of b*j*m**3*t**3 + 55*b*j*m**3 + 20*b*j*t + 3*b*m*t**3 - 6*j*m**3 + j*m**2*t**2 + 2*m**2 wrt m.
6*b*j*t**3 + 330*b*j - 36*j
Find the third derivative of -7202*o**3 + 13321*o**2.
-43212
What is the third derivative of 459*m**3*r**2 - 14*m**2*r**2 - m*r**2 wrt m?
2754*r**2
Find the second derivative of -52*v**2 - 123*v - 2 wrt v.
-104
Differentiate 14*a*o*v + 2*a*o + 36*a*v + 4*o*v + v wrt o.
14*a*v + 2*a + 4*v
What is the third derivative of -5927*b**4 + 91*b**2 + 21?
-142248*b
What is the second derivative of 7*h**4 - 184*h**2 - 1912*h?
84*h**2 - 368
What is the first derivative of 27*b**4 - 85*b**3 - 6917 wrt b?
108*b**3 - 255*b**2
Differentiate 7*a**3*c*r - 7*a**3*c - 4*a**2*c*r*t + a**2*c*t - 3*a*c*r - 4*a*c*t wrt r.
7*a**3*c - 4*a**2*c*t - 3*a*c
What is the third derivative of 9875*q**6 - 7*q**2 + q + 605 wrt q?
1185000*q**3
Find the second derivative of 259*n**4 + 31*n.
3108*n**2
Find the second derivative of -3*g**2*l*w**2 + 46*g**2*l*w + 9*g*w**2 + 3*l*w**2 + l*w - 3 wrt w.
-6*g**2*l + 18*g + 6*l
Find the second derivative of -3*f**5*u - 311*f**2*u - 290*f*u - 4*u wrt f.
-60*f**3*u - 622*u
Differentiate -95*u**2 + 107 wrt u.
-190*u
Find the third derivative of 16*d*u**5 + 2*d*u**2 + u**6 - 3*u**2 + 17 wrt u.
960*d*u**2 + 120*u**3
What is the third derivative of -48*a**3 + 34*a**2 - 5?
-288
Find the third derivative of 390*r**3 - 1095*r**2.
2340
Find the first derivative of -7*c - 112.
-7
What is the second derivative of 126*h**3*v + 4*h**3*x**2*y - 15*h**3*x**2 + 2*h*y + v*x**2*y + 3*x wrt x?
8*h**3*y - 30*h**3 + 2*v*y
What is the third derivative of -2*i**3*o**4 - 18*i**3 + 20*i*o**2 + 242*o**4 wrt o?
-48*i**3*o + 5808*o
Find the third derivative of -91*s**3*v**3 - s**3*v**2 - 2*s**3*v - s**2*v**4 - 14*v wrt v.
-546*s**3 - 24*s**2*v
What is the second derivative of -146*m**5*s - 2*m**3*s + 4*m + 72*s wrt m?
-2920*m**3*s - 12*m*s
Differentiate -354*b - 10424.
-354
What is the first derivative of -16*a**2*y**3 - a**2 + 7 | {
"pile_set_name": "DM Mathematics"
} |
-v for r.
0
Suppose -k = 2*o - o + 11, -3*k + 2*o - 38 = 0. Let a be (-9)/12 - 321/k. Solve -2*r - 3*r - a = 4*w, -5*w - 18 = -r for r.
-2
Let u be 5/20*2*2. Solve q = 5*d + 7 - u, -3*q = -d + 10 for q.
-4
Let h = 53 + -49. Solve 3*a - 10 = h*x, -2*a = 3*a + 3*x + 22 for a.
-2
Suppose -p = p. Suppose -2*h + 125 = 5*q, 5*q - 2*h - h - 100 = p. Solve -2*v + 3*c = -0*v + q, 4*c - 36 = 4*v for v.
-4
Let i be 2*(-2 - -1) + 16. Suppose 5*o = i + 6. Solve 4*m = o*x + 4, -2*x + 4*m + 0*m = -4 for x.
-4
Let i(c) = c + 1. Let l be i(4). Solve -h = l*z + 2*h - 9, -6 = -4*z - 2*h for z.
0
Suppose 0*a - 3*x = 2*a - 7, 5*x - 7 = -a. Suppose -i + 0*l + 5*l = 10, 3*i + l = 2. Suppose i = 4*k - 5*k + 5. Solve a*y + 4*z + 0 = 2, -k*y + 2*z = 31 for y.
-5
Suppose -4*p - 2*q - 4 = -32, 4*q - 16 = 0. Solve p*d - 3*d + 21 = 3*g, -g + 2*d = -11 for g.
5
Let b(p) = -p**2 + 6*p - 3. Let i(x) = -x**3 + 3*x**2 - x + 2. Let d be i(2). Let u be b(d). Solve -6 = -3*v + 3*r - 0, -2*v - u*r + 25 = 0 for v.
5
Suppose -3*m + 30 = 2*m. Let j(w) = w - 6*w**2 + 0*w - 1 - 1 + w**3. Let q be j(m). Solve q*v - 5 = -k, 2*v + k + 2 = 7 for v.
0
Suppose -5*n - 15 = 45. Let o be ((-3)/2)/(n/16). Suppose -2*b + 5*v = -13, -v - 17 = -4*b - 0*v. Solve -2*f - u - b*u - 16 = 0, o = -2*f + 2*u for f.
-3
Let w be (4/16*6)/((-9)/(-12)). Solve w*x - 8 = -2*j, -3*j - 7 = -5*x - 3 for x.
2
Let h(z) be the second derivative of z + 3/5*z**5 + 1/2*z**2 + 1/12*z**4 - 1/3*z**3 + 0. Let m be h(1). Solve x + 6 + m = 5*o, -3*o + 3 = 2*x for x.
-3
Suppose 18 = 3*b + 5*q, 2*b + q = 4*b + 1. Solve b = 4*m + u - 6, 3*m - 3*u = 24 for m.
3
Suppose y + 0*y = 26. Let d be 2 + -9 + 3/(-1). Let q = d + y. Solve q + 18 = 3*w + 5*i, -3*i = -15 for w.
3
Let r(q) = -q**2 + 5*q - 1. Let u be r(4). Suppose u*b = b. Suppose -c + 5*v - 20 = 0, -4 + 9 = -2*c + 3*v. Solve 3*t + i = -b*i + 11, t - c = i for t.
4
Let m = -5 + 8. Suppose -4*f - 25 = 5*v, -2*f + 0*f + 15 = -m*v. Suppose f = -h + 2. Solve -30 = -2*q - 2*q + 2*a, h*q + 3*a = -5 for q.
5
Let v be (-15)/10*(1 - 13). Suppose 0 = f - 4*n - 9, -f = 3*f + 2*n - v. Solve -f*s - 30 = -2*t + 5*t, -3*s + t - 4 = 0 for s.
-3
Let x(s) = -s - 13. Let m be x(-16). Solve 3*o + m*c - 6 = 0, 5*o - c - 3*c = 28 for o.
4
Let i be (-14)/(-4) - (-6)/(-4). Suppose -5 = 2*h - 4*c - 1, -7 = i*h - 5*c. Let o = -1 + h. Solve 0 = -5*v, 2*y = 3*v + o + 7 for y.
5
Suppose 4*t = 2*t + 12. Let s = 11 - t. Solve -3*k - s*d = -13, -k + 2*d + d - 5 = 0 for k.
1
Let s(f) = -f + 4. Let t(n) = -n + 1. Let c(v) = -s(v) - 5*t(v). Let z be c(4). Solve 7*w - 4*w = 5*d + 10, z = 2*w - 5*d for w.
-5
Let h(d) = 2*d**3 - 2*d - 1. Let f be h(2). Let c = 9 + f. Suppose 225*s - 222*s = 15. Solve 4*j = -3*k - c, -20 = -j + s*j + k for j.
-5
Let j be (-1)/((-6)/18) - (0 - 3). Solve 32 = -3*k - 4*s, s - 25 = j*s for k.
-4
Suppose -5*v = -l - l - 19, -4*l + 2*v = -2. Suppose 2*o + 36 = l*m, -2*m - 2*o = -50 + 16. Solve 4*c - 3*c + m = -3*j, 30 = -5*c - 5*j for c.
-2
Let j(g) be the third derivative of -g**5/60 - g**4/6 - g**3/3 - 3*g**2. Let t be j(-4). Let w be (0/1)/t - 0. Solve z + 3*b + 9 = w, 0 = -b - 4*b - 10 for z.
-3
Suppose -4*u - 12 = 20. Let q(a) = a**2 + 9*a + 11. Let o be q(u). Solve -5*h = -9 - 1, 15 = o*t + 3*h for t.
3
Let c = -2 + 9. Suppose -5*o + 35 = -5*h, o + 3*h + 2 = -c. Suppose 0*v = v - 3. Solve -4*d + v*d - 5 = -2*s, o*s = 2*d + 5 for d.
5
Let m = 6 + -2. Suppose -15 = -2*b + 5*g, 3*b + 0*g - 11 = -m*g. Suppose 0 = -3*q + 2 + 10, 0 = -2*c + 2*q - 4. Solve c*a + 2*n = -6 - 6, b = -n for a.
-1
Let h be (-238)/(-15) + (-3)/(-45)*2. Solve 5*j - 2*s + h = j, -4*j - 5*s - 30 = 0 for j.
-5
Let v be 6/4*(-4)/(-3). Let q be 15/6 + v/(-4). Solve 3*z = q*s - 8, z - s = 6*z + 9 for z.
-2
Let b(m) = -m**2 + 5*m + 4. Let j be b(5). Suppose -3*y + 2*p = -38, -63 = -5*y + 5*p - 2*p. Let d = -3 + 5. Solve 3*k + k + y = -j*o, 3*k + 8 = -d*o for k.
-2
Let w(c) = -5*c - 4. Let v be w(-2). Solve -3*o - i - v = 2*i, 3*o - i = -10 for o.
-3
Suppose -3*m + 11 = 2*m + 3*f, -4*m + 4*f = 4. Let l be m*(-1 - 1)/(-1). Solve -l*i + 5*q + 25 = 3*i, -20 = 4*q for i.
0
Suppose -5 + 20 = 2*h + 5*m, 60 = 2*h - 4*m. Solve f + 4*w = -w - 10, h = f - 5*w for f.
5
Suppose -2*f = 2*g + 2, 4*f = 5*g - f - 35. Let h be 0 - 0 - (1 - 7). Solve 5*b - g*x = 25, h*b - b = 4*x + 25 for b.
5
Suppose 3*i - 3*d - 33 = 0, -7*d + 2*d - 47 = -4*i. Solve 2*s - 4*x - x = -i, 0 = 5*x for s.
-4
Suppose 6 = 2*r + 2. Let g be (-2)/(-4)*4*-19. Let b = 53 + g. Solve 0 = -4*y - z + 21, -r*y + z = 3*y - b for y.
4
Let a(b) = 3*b - 9. Let l be (1 - -6) + (-1)/1. Suppose -l = -0*w - w. Let u be a(w). Solve 3*m - 9 = 3*k + 4*m, 3*m = -3*k - u for k.
-3
Suppose 0*y = -4*b - 3*y + 8, 2*b = y + 4. Suppose -4*p + 22 = -0*p + 2*m, 5*p - 14 = b*m. Solve -5*a + 6 = -4*z + 17, p*a + 8 = 4*z for z.
-1
Let n(j) = 5*j**2 + j + 1. Let h be n(-1). Let r(z) = -3*z - 29. Let g be r(-11). Solve 0*l - g*f = -l + 6, -h*f = l + 3 for l.
2
Suppose 7 = 4*i - 1. Suppose -3*l + 1 + 5 = 0, i*l - 31 = -3*r. Solve -b = -5*a + b + 21, 2*a + 5*b + r = 0 for a.
3
Let i be 4/18 - (-250)/90. Let p = -1 + i. Solve 2*u + 3 = 3*q - 1, p = -u - 2*q for u.
-2
Let k = 23 - 11. Suppose -r = 4*g + 3*r, 5*r = -g - k. Solve 5*v - g*n = -31 + 6, 5*v + 25 = -3*n for v.
-5
Suppose -m + 0*w + 3*w - 4 = 0, -3*m + 5*w = 0. Solve 0*b + 4*b = g + 3, -g = m*b - 15 for b.
2
Suppose -2*r - h + 7 = 0, -4*r + 9*h - 7 = 4*h. Solve -5*p - 5 = r*v, 2*p = 2 - 0 for v.
-5
Let h = 5 - 5. Let g(t) = t**2 + t - 4. Let a be g(h). Let c be (2 + a - -6)*5. Solve -4*y + 5*w = 25, -y - c = -0*w - 4*w for y.
0
Let x(q) = -q**3 + 13*q**2 + 2*q - 11. Let v be x(13). Solve -4*g = 4*m - 36, 5*g = 2*g + v for m.
4
Let l(f) = -1. Let o(q) = -q + 2. Let u(k) = -4*l(k) - o(k). Let v be u(0). Let h be (-20)/(-4 + -1)*(0 + 1). Solve s - h*p - 9 = -4, -6 = -4*s + v*p for s.
1
Let k(t) = 4*t + 3. Let p be k(-2). Let q = p - -8. Solve 0 = -x - 3*l + 8, 4*x - 6*x - q*l = -4 for x.
-4
Let w(i) = -i - 5*i + i + 1. Let l be w(-1). Let a = 0 + l. Solve 5*t + 5 = 2*p, -p - a*t - 20 = -t for p.
-5
Let q be -14*1*2/(-4). Let y = 11 - 7. Solve 0 = 3*k - 0*m - 3*m + 12, 0 = y*k - m + q for k.
-1
Let o(a) = a**3 + 3*a**2 - 4*a - 3. Let m be o(-2). Solve 3*h - 3 = 0, 0*h - 5*h + m = 2*u for u.
2
Suppose -3*v + 4 = -v, m = v - 3. Let k be m - 4*-2 - 3. Solve 5*d + k*l = -2 + 9, l = d + 4 for d.
-1
Let q(s) = 2*s + 1. Let m be q(1). Let t = m - 0. Solve 2 = 4*i - 18, -k - t*i = -17 for k.
2
Let b = 13 + -9. Let g be (-1)/(-1)*(2 + 0). Let l = 5 - g. Solve -5*f - 2 = b*q - 11, -3*q + 6 = l*f for f.
1
Let w(i) = 2*i + 18. Let g be w(-8). Suppose 3*t - 15 = -g*t. Solve -2*k + 0 = l + t, -3*l = 2*k - 7 for k.
-4
Suppose p - 3 - 1 = 0. Solve p*i = 3*s + i - 3, -3 = -i for s.
4
Let a be 93/(-9) + 4/(-6). Let b = a - -11. Let h be ((-1 - 0)*-2)/1. Solve b = -2*j - 2*g + 4, -h*g = -5*j + g + 2 for j.
1
Let p be (-2)/6 + (-21)/(-9). Let x = 15 + -14. Solve -6*t + p*t + 5*z = x, -3*z = 9 for t.
-4
Suppose -4*c = b - 11, 5*c + 3*b + 0*b = 5. Let q(v) = -v**3. Let i be q(-1). Let j be (8 - 1) + i*-2. Solve -6 = -h + c*r, -3*r + 6*r + j = h for h.
2
Suppose 2*j + 4*d = j - 14, -3*j + 43 = -5*d. Suppose -3*a = 5*i - 20, -3*a = -j*a - 4*i + 16. Solve -3*x - 11 = -u + x, a = 5*u - 4*x + 9 for u.
-5
Let v(q) = -q**2 - 5*q - 2. Let k = 5 - 7. Let z be v(k). Solve z*a - 10 = -4*d + 2*a, -3*d = -a for d.
1
Let c = 11 - 6. Let m = 7 - c. Solve 2*u = 3*x - 2*x + 1, 0 = -3*x + u + m for x.
1
Let u = 12 - -3. Solve -3*q - 3*y - 5 = -5*y, -3*y = 3*q - u for q.
1
Let g(i) = -i - 3. Let x be g(-9). Solve 0 = 3*p - 3*z + x, 0 = p + 2*p - 5*z + 10 for p.
0
Let o(i) = 4*i - 1. Let t be o(1). Let k = 35 - 21. Suppose -2 + k = t*x. Solve 4*v = 16, 4 = 4*q - 0*q - x*v for q.
5
Let j(x) = -x**2 + 1. Let b(v) = -v**3 - 5*v**2 - 3. Let u(k) = -b(k) - j(k). Let h be u(-6). Solve f = h*f + 5*q + 8, -q = -2*f - 5 for f.
-3
Suppose -5*i - x = -9, -3*x + 5*x = -4*i + 6. Let u = i - 2. Solve u - 3 = h, 3*h = 3*p - 24 for p.
5
Let k be (-1 - -3)/(2/(-4)). Let v be (0 - -2) + 5 + k. Solve 0 = v*d - 2*l - 2, 4*l + 6 = 5*d for d.
-2
Let o = -2 + 10. Solve 2*j - o = -y, -y + 3*j + 14 = 4*y for y.
4
Let z be (-5)/((-10)/(-6)) + 3. Solve 3*y - 2*f = 4, 0*y - y + 4*f - 2 = z for y.
2
Let y | {
"pile_set_name": "DM Mathematics"
} |
greatest common divisor of 64 and 1216.
64
Calculate the greatest common divisor of 312 and 1794.
78
Calculate the greatest common factor of 31 and 1271.
31
What is the greatest common factor of 10 and 5410?
10
What is the greatest common factor of 25 and 2425?
25
What is the highest common divisor of 240 and 90?
30
What is the highest common factor of 26 and 10?
2
What is the greatest common divisor of 4165 and 294?
49
Calculate the greatest common factor of 498 and 3.
3
What is the greatest common factor of 22606 and 127?
127
What is the greatest common factor of 3 and 177?
3
Calculate the greatest common factor of 104 and 702.
26
Calculate the highest common factor of 402 and 36.
6
What is the highest common divisor of 18 and 171?
9
What is the highest common factor of 75 and 135?
15
What is the greatest common divisor of 2211 and 33?
33
Calculate the greatest common divisor of 2482 and 646.
34
Calculate the highest common factor of 2 and 2.
2
What is the greatest common factor of 1519 and 62?
31
What is the greatest common divisor of 17 and 2567?
17
What is the highest common divisor of 24 and 216?
24
Calculate the greatest common factor of 1700 and 75.
25
Calculate the highest common divisor of 66 and 6.
6
What is the highest common factor of 49 and 7497?
49
Calculate the greatest common divisor of 4 and 2986.
2
Calculate the greatest common factor of 15 and 4665.
15
What is the highest common divisor of 6858 and 127?
127
What is the greatest common divisor of 14129 and 199?
199
Calculate the greatest common factor of 6 and 34.
2
Calculate the highest common divisor of 22 and 17248.
22
Calculate the highest common factor of 1333 and 31.
31
Calculate the highest common factor of 1012 and 44.
44
What is the greatest common factor of 3600 and 104?
8
Calculate the highest common factor of 1260 and 165.
15
What is the highest common divisor of 4 and 82?
2
What is the highest common divisor of 1073 and 232?
29
What is the greatest common divisor of 5490 and 50?
10
Calculate the greatest common divisor of 156 and 96.
12
What is the highest common factor of 808 and 344?
8
What is the highest common factor of 4364 and 4?
4
Calculate the highest common divisor of 4182 and 408.
102
Calculate the highest common divisor of 1375 and 440.
55
Calculate the highest common divisor of 7641 and 3679.
283
Calculate the greatest common divisor of 85 and 289.
17
Calculate the greatest common factor of 15 and 270.
15
Calculate the greatest common divisor of 30 and 465.
15
Calculate the highest common divisor of 7 and 581.
7
Calculate the highest common factor of 195 and 345.
15
What is the highest common divisor of 2 and 146?
2
Calculate the greatest common factor of 69 and 33.
3
Calculate the highest common divisor of 16014 and 102.
102
What is the highest common factor of 171 and 59850?
171
What is the highest common divisor of 13 and 3328?
13
What is the greatest common factor of 220 and 13530?
110
What is the highest common factor of 4 and 214?
2
Calculate the greatest common divisor of 1891 and 31.
31
What is the greatest common factor of 61 and 11651?
61
What is the greatest common divisor of 55 and 121?
11
What is the greatest common divisor of 20 and 1420?
20
Calculate the greatest common factor of 952 and 102.
34
What is the highest common factor of 56 and 10696?
56
What is the highest common factor of 13735 and 410?
205
Calculate the greatest common factor of 1179 and 36.
9
Calculate the greatest common divisor of 142 and 2.
2
Calculate the highest common divisor of 11 and 57541.
11
What is the highest common factor of 3465 and 35?
35
What is the highest common divisor of 108 and 27?
27
What is the greatest common divisor of 288 and 36?
36
What is the highest common divisor of 32339 and 73?
73
What is the greatest common divisor of 364 and 156?
52
Calculate the highest common divisor of 8295 and 105.
105
Calculate the highest common divisor of 138 and 24.
6
Calculate the highest common divisor of 324 and 2304.
36
What is the greatest common divisor of 36089 and 151?
151
Calculate the greatest common divisor of 17 and 153.
17
What is the greatest common factor of 3129 and 14?
7
Calculate the greatest common divisor of 18 and 738.
18
Calculate the highest common divisor of 592 and 32.
16
What is the greatest common factor of 2537 and 172?
43
What is the highest common divisor of 174 and 493?
29
Calculate the greatest common divisor of 669 and 30551.
223
What is the greatest common divisor of 159 and 7897?
53
What is the highest common factor of 250 and 170?
10
What is the greatest common factor of 340 and 884?
68
What is the greatest common divisor of 153 and 1020?
51
Calculate the highest common factor of 3808 and 96.
32
What is the greatest common divisor of 341 and 55?
11
What is the greatest common factor of 189 and 27?
27
Calculate the highest common divisor of 16 and 848.
16
Calculate the greatest common divisor of 129 and 215.
43
Calculate the greatest common divisor of 1012 and 5324.
44
Calculate the highest common factor of 90 and 390.
30
Calculate the highest common divisor of 16756 and 236.
236
Calculate the greatest common divisor of 975 and 825.
75
What is the greatest common factor of 2815 and 10?
5
What is the greatest common divisor of 46 and 230?
46
What is the highest common divisor of 44 and 1364?
44
What is the highest common factor of 138 and 1334?
46
What is the greatest common factor of 1296 and 2187?
81
Calculate the greatest common divisor of 130 and 455.
65
What is the greatest common divisor of 19 and 437?
19
Calculate the highest common factor of 2107 and 147.
49
Calculate the highest common factor of 1152 and 4.
4
Calculate the highest common divisor of 3484 and 260.
52
Calculate the greatest common divisor of 3332 and 4.
4
What is the highest common divisor of 162 and 27?
27
What is the highest common divisor of 725 and 58?
29
What is the greatest common factor of 15 and 535?
5
What is the highest common divisor of 18 and 9?
9
What is the highest common divisor of 8 and 184?
8
Calculate the greatest common divisor of 9460 and 5590.
430
Calculate the highest common divisor of 388 and 4462.
194
Calculate the highest common factor of 15 and 30.
15
What is the highest common factor of 9 and 9522?
9
What is the highest common divisor of 87 and 3654?
87
What is the greatest common divisor of 756 and 1728?
108
What is the greatest common divisor of 576 and 104?
8
Calculate the greatest common divisor of 7 and 21.
7
Calculate the greatest common factor of 96 and 9456.
48
Calculate the highest common factor of 330 and 20.
10
Calculate the highest common divisor of 9102 and 148.
74
What is the highest common divisor of 94332 and 84?
84
What is the greatest common factor of 34599 and 114?
57
What is the highest common factor of 126 and 1098?
18
What is the greatest common divisor of 81 and 1089?
9
What is the greatest common factor of 296 and 3404?
148
What is the greatest common factor of 11370 and 30?
30
What is the greatest common divisor of 226 and 8701?
113
What is the greatest common factor of 2028 and 36?
12
Calculate the highest common divisor of 8 and 20.
4
Calculate the greatest common divisor of 8814 and 78.
78
What is the highest common divisor of 513 and 8037?
171
What is the greatest common divisor of 129 and 3?
3
Calculate the greatest common divisor of 236 and 2950.
118
What is the highest common divisor of 243 and 54?
27
What is the greatest common factor of 2853 and 81?
9
Calculate the greatest common factor of 256 and 2944.
128
What is the highest common divisor of 174 and 13137?
87
What is the highest common factor of 2322 and 162?
54
Calculate the greatest common divisor of 19112 and 8.
8
What is the highest common factor of 209 and 22?
11
Calculate the highest common divisor of 1856 and 290.
58
What is the highest common divisor of 1353 and 33?
33
What is the highest common divisor of 57 and 39?
3
What is the highest common factor of 366 and 726?
6
Calculate the highest common divisor of 21 and 123.
3
What is the greatest common factor of 26 and 169?
13
What is the highest common factor of 9 and 189?
9
Calculate the greatest common divisor of 1075 and 1763.
43
What is the greatest common divisor of 1838 and | {
"pile_set_name": "DM Mathematics"
} |
ound 1.8249 to 0 dps.
2
Round -24.83 to zero decimal places.
-25
What is -0.01735 rounded to 4 dps?
-0.0174
What is -0.00008185 rounded to six dps?
-0.000082
Round -91.25 to the nearest 10.
-90
Round -14.59 to the nearest integer.
-15
Round 0.291 to one decimal place.
0.3
Round -25.3073 to 0 dps.
-25
Round -843 to the nearest 10.
-840
Round -0.5874 to 1 dp.
-0.6
What is 64890000 rounded to the nearest one million?
65000000
Round 110.6 to the nearest 10.
110
What is 4.259 rounded to 1 dp?
4.3
Round -945610 to the nearest 100000.
-900000
Round -714.662 to the nearest 10.
-710
Round -968600 to the nearest 100000.
-1000000
Round -1619.5 to the nearest ten.
-1620
Round 1501.2 to the nearest ten.
1500
What is 0.004589 rounded to four dps?
0.0046
Round -0.000757 to five decimal places.
-0.00076
What is -1.27 rounded to the nearest integer?
-1
Round -1022 to the nearest 100.
-1000
What is 0.05537 rounded to two dps?
0.06
Round -29.106 to the nearest integer.
-29
What is 0.36517 rounded to 3 decimal places?
0.365
What is 306700 rounded to the nearest 10000?
310000
What is -0.0047894 rounded to 5 dps?
-0.00479
Round -4658 to the nearest one thousand.
-5000
What is -0.0363 rounded to two dps?
-0.04
Round 3705 to the nearest 100.
3700
Round 21310 to the nearest 10000.
20000
What is 2.17335 rounded to two decimal places?
2.17
What is 0.01508 rounded to 3 decimal places?
0.015
What is -18.635 rounded to one decimal place?
-18.6
Round -0.00003696 to six decimal places.
-0.000037
What is -329866 rounded to the nearest one thousand?
-330000
Round -0.00008713 to 6 dps.
-0.000087
What is 354.97 rounded to the nearest integer?
355
Round -0.6246 to two dps.
-0.62
Round 0.00000079 to 6 decimal places.
0.000001
Round -707000 to the nearest one hundred thousand.
-700000
What is 0.0005601 rounded to four decimal places?
0.0006
Round -2.644 to 0 decimal places.
-3
Round 0.01279 to 3 decimal places.
0.013
What is -0.000001176 rounded to 7 dps?
-0.0000012
What is -324400 rounded to the nearest 1000000?
0
Round 25.386 to 1 dp.
25.4
What is 0.000002179 rounded to 7 dps?
0.0000022
What is -72380 rounded to the nearest ten thousand?
-70000
Round 13208 to the nearest one hundred.
13200
What is -0.00022187 rounded to five decimal places?
-0.00022
Round 0.001766 to four dps.
0.0018
Round -0.23686 to three decimal places.
-0.237
Round 514900 to the nearest 100000.
500000
Round 0.18845 to 3 decimal places.
0.188
What is 2.3012 rounded to 2 decimal places?
2.3
What is 0.000002189 rounded to seven dps?
0.0000022
What is 0.00052 rounded to 3 dps?
0.001
Round -22.07 to 0 dps.
-22
What is -0.0040205 rounded to three dps?
-0.004
What is 0.014303 rounded to 2 decimal places?
0.01
What is -0.0001356 rounded to 4 decimal places?
-0.0001
What is 0.00062542 rounded to 5 dps?
0.00063
Round 0.000010753 to 6 dps.
0.000011
What is -0.000000392 rounded to six decimal places?
0
What is -0.091905 rounded to two decimal places?
-0.09
Round -0.003421 to four decimal places.
-0.0034
Round -4.55 to one decimal place.
-4.6
Round -1.5848 to 2 dps.
-1.58
Round 293.4 to the nearest 10.
290
Round 46509 to the nearest 1000.
47000
What is 0.0104288 rounded to 3 dps?
0.01
What is 0.00000529 rounded to seven dps?
0.0000053
What is -704.27 rounded to the nearest integer?
-704
What is -34624 rounded to the nearest 1000?
-35000
Round -0.004859 to three dps.
-0.005
Round 0.4626 to 2 decimal places.
0.46
What is 0.15661 rounded to 2 decimal places?
0.16
What is -895000 rounded to the nearest one hundred thousand?
-900000
Round 0.05924 to 3 dps.
0.059
What is 0.9021 rounded to 2 dps?
0.9
What is -0.000014363 rounded to six dps?
-0.000014
What is 426900 rounded to the nearest one thousand?
427000
Round 1255.9 to the nearest 100.
1300
Round 0.8778 to 2 dps.
0.88
What is 1443.4 rounded to the nearest 100?
1400
What is -814.2 rounded to the nearest ten?
-810
What is -81.8 rounded to the nearest integer?
-82
Round -1926800 to the nearest 100000.
-1900000
Round 3099.5 to the nearest 1000.
3000
Round 670000 to the nearest one million.
1000000
What is 10.41 rounded to the nearest integer?
10
What is 2.1255 rounded to 1 dp?
2.1
What is 20100 rounded to the nearest 100?
20100
What is 18220 rounded to the nearest 1000?
18000
Round 0.0005293 to 4 decimal places.
0.0005
What is 0.53239 rounded to 1 decimal place?
0.5
What is 0.21659 rounded to 3 dps?
0.217
What is 184.8 rounded to the nearest ten?
180
Round 20.0876 to the nearest integer.
20
What is -156400 rounded to the nearest ten thousand?
-160000
What is 57960 rounded to the nearest 10000?
60000
Round -4843.4 to the nearest one hundred.
-4800
Round 23596700 to the nearest 100000.
23600000
What is -9184600 rounded to the nearest one million?
-9000000
What is 7510 rounded to the nearest one hundred?
7500
What is 56421 rounded to the nearest ten thousand?
60000
Round -0.00073518 to four decimal places.
-0.0007
What is -0.0004456 rounded to five dps?
-0.00045
What is 32300 rounded to the nearest 10000?
30000
Round -319500 to the nearest 10000.
-320000
Round 665000 to the nearest one hundred thousand.
700000
Round -9610 to the nearest 1000.
-10000
What is -541100 rounded to the nearest 10000?
-540000
Round 0.004922 to four dps.
0.0049
What is 0.603 rounded to two decimal places?
0.6
Round 42155 to the nearest 100.
42200
What is -4751 rounded to the nearest 1000?
-5000
Round -147949000 to the nearest one million.
-148000000
What is -0.0022994 rounded to three dps?
-0.002
What is 0.35 rounded to 1 decimal place?
0.4
Round -0.000006628 to 7 dps.
-0.0000066
Round 1696 to the nearest one hundred.
1700
What is -0.00002367 rounded to 6 dps?
-0.000024
What is 6.1 rounded to the nearest ten?
10
Round 0.00005735 to 6 dps.
0.000057
What is -0.0178195 rounded to three decimal places?
-0.018
Round -0.839 to 2 dps.
-0.84
Round 0.000002632 to 7 decimal places.
0.0000026
What is -0.0006141 rounded to five dps?
-0.00061
Round -0.16609 to three dps.
-0.166
What is -7786000 rounded to the nearest one million?
-8000000
What is 64285000 rounded to the nearest one million?
64000000
What is 586.16 rounded to the nearest 100?
600
Round 699.28 to the nearest ten.
700
What is 56850 rounded to the nearest 10000?
60000
What is 146000 rounded to the nearest ten thousand?
150000
Round -35570 to the nearest ten thousand.
-40000
What is -7.9622 rounded to 0 decimal places?
-8
Round -22900 to the nearest 1000.
-23000
Round 0.000038125 to five dps.
0.00004
Round -1211800 to the nearest 100000.
-1200000
Round -30200 to the nearest 100000.
0
Round 7.5023 to 2 dps.
7.5
Round 0.00245 to four dps.
0.0025
Round 50.91 to the nearest integer.
51
Round -91700000 to the nearest one million.
-92000000
What is -0.0051906 rounded to four decimal places?
-0.0052
Round 0.0000772 to 6 decimal places.
0.000077
What is 533060 rounded to the nearest 1000?
533000
What is 762780000 rounded to the nearest 1000000?
763000000
Round 26200 to the nearest one hundred.
26200
Round 0.00128153 to four decimal places.
0.0013
Round 0.008184 to four dps.
0.0082
What is 0.000001934 rounded to seven decimal places?
0.0000019
Round 53750000 to the nearest 1000000.
54000000
Round 7.213 to 0 dps.
7
What is 14936 rounded to the nearest 100?
14900
What is 557230 rounded to the nearest 100000?
600000
Round 0.0028025 to five dps.
0.0028
Round 32160 to the nearest one thousand.
32000
Round 126.99 to zero dps.
127
What is 141.7 rounded to the nearest 10?
140
Round 0.00006263 to 5 dps.
0.00006
What is -0.0000306 rounded to six dps?
-0.000031
What is 0.2807 rounded to three dps?
0.281
Round -535740 to the nearest ten thousand.
-540000
Round -21.7 to the nearest 10.
-20
Round -0.0000009463 to seven dps.
-0.0000009
What is 1180 rounded to the nearest one thousand?
1000
Round 28613 to the nearest one thousand.
29000
What is 0.00008225 rounded to 6 dps?
0.000082
What is 6252.26 rounded to the nearest one hundred?
6300
What is 0.00000083234 rounded to 7 dps?
0.0000008
What is -50571000 rounded to the nearest 100000?
-50600000
What is 118.607 rounded to the nearest 10?
120
Round 5.144 to 1 dp.
5.1
What is -1.681 rounded to the nearest ten?
0
Round 0.00067914 to 4 decimal places.
0.0007
What is -5791700 rounded to the nearest 1000000?
-6000000
Round -0.01861 | {
"pile_set_name": "DM Mathematics"
} |
r of 675 and 33885.
135
Calculate the greatest common divisor of 55 and 50545.
55
What is the highest common factor of 268818 and 330?
66
What is the highest common factor of 210 and 7329?
21
What is the greatest common factor of 1931456 and 206?
206
What is the greatest common factor of 5004 and 1467?
9
What is the greatest common factor of 66845 and 290?
145
What is the greatest common factor of 23840 and 616115?
745
What is the highest common divisor of 48420 and 90?
90
Calculate the highest common divisor of 502 and 5534.
2
Calculate the highest common factor of 493 and 101133.
17
Calculate the highest common divisor of 402135 and 5.
5
Calculate the greatest common divisor of 13057 and 1430.
11
What is the greatest common factor of 120 and 179688?
24
What is the highest common divisor of 9246 and 18?
6
What is the greatest common factor of 1728 and 108?
108
What is the highest common divisor of 1542 and 6?
6
Calculate the greatest common divisor of 1463922 and 1336.
334
What is the greatest common factor of 33299 and 2814?
469
Calculate the greatest common factor of 4336 and 272.
16
What is the greatest common divisor of 228 and 14400?
12
What is the highest common factor of 6058 and 8?
2
Calculate the greatest common factor of 2652 and 171821.
13
What is the greatest common divisor of 36195 and 1140?
285
Calculate the greatest common divisor of 3484 and 23584.
268
Calculate the highest common divisor of 1987874 and 14.
14
Calculate the highest common divisor of 4653 and 330.
33
Calculate the highest common factor of 104 and 2020174.
26
Calculate the greatest common divisor of 622 and 1261416.
622
What is the greatest common divisor of 9060 and 1860?
60
What is the greatest common divisor of 6985 and 485?
5
What is the highest common factor of 52 and 306956?
52
What is the highest common divisor of 10 and 49750?
10
Calculate the highest common divisor of 23 and 136551.
23
Calculate the highest common factor of 432 and 3440.
16
Calculate the greatest common divisor of 76042 and 8492.
386
What is the greatest common divisor of 1180 and 3967750?
590
What is the greatest common factor of 8608 and 18304?
32
Calculate the greatest common factor of 3828 and 5154.
6
What is the greatest common divisor of 44 and 5951?
11
Calculate the highest common divisor of 33984 and 177.
177
What is the greatest common divisor of 804406 and 708?
118
Calculate the greatest common factor of 5670 and 2170.
70
What is the greatest common factor of 855 and 24320?
95
What is the highest common divisor of 36750 and 490?
490
What is the greatest common factor of 1919 and 13851?
19
Calculate the highest common divisor of 507609 and 63.
9
What is the highest common divisor of 127 and 73?
1
Calculate the highest common divisor of 19446 and 903.
21
What is the greatest common factor of 127131 and 93?
93
What is the highest common divisor of 316360 and 8360?
440
What is the greatest common divisor of 96 and 416544?
96
What is the greatest common factor of 3084 and 7296?
12
What is the greatest common divisor of 3287 and 1045?
19
Calculate the highest common divisor of 472 and 33925.
59
Calculate the greatest common divisor of 1285197 and 636.
159
Calculate the greatest common divisor of 147 and 27.
3
What is the greatest common factor of 20 and 179520?
20
Calculate the highest common factor of 564 and 61899.
141
Calculate the greatest common factor of 44 and 40854.
22
What is the greatest common divisor of 780 and 219921?
39
Calculate the greatest common divisor of 8 and 4480376.
8
What is the greatest common divisor of 3074 and 51504?
58
What is the greatest common factor of 7337 and 16192?
253
Calculate the greatest common factor of 18 and 4122.
18
Calculate the greatest common factor of 39168 and 21.
3
Calculate the highest common factor of 109117 and 513.
19
Calculate the greatest common divisor of 6912 and 74496.
768
What is the greatest common factor of 168 and 1037414?
14
Calculate the greatest common divisor of 1104997 and 53.
53
What is the highest common factor of 5934 and 1702?
46
What is the greatest common divisor of 101472 and 2478?
42
Calculate the greatest common factor of 429 and 10686.
39
What is the highest common divisor of 30190 and 225?
5
Calculate the greatest common divisor of 3042 and 15574.
26
What is the greatest common divisor of 1055600 and 1131?
377
What is the greatest common factor of 1662 and 408021?
831
Calculate the greatest common factor of 1581 and 558.
93
Calculate the highest common divisor of 14501 and 136.
17
Calculate the highest common divisor of 3285 and 180.
45
What is the highest common divisor of 904 and 6212?
4
What is the greatest common divisor of 515 and 55311?
103
Calculate the highest common divisor of 1760 and 917488.
176
Calculate the greatest common factor of 198 and 10170.
18
Calculate the highest common divisor of 16 and 4601776.
16
Calculate the greatest common divisor of 99 and 360987.
33
What is the greatest common divisor of 10 and 7614?
2
What is the greatest common divisor of 657685 and 21070?
1505
Calculate the highest common factor of 345472 and 128.
128
Calculate the greatest common factor of 3618 and 13230.
54
What is the highest common factor of 1808 and 26208?
16
What is the highest common divisor of 170 and 145010?
170
Calculate the greatest common divisor of 102011 and 20709.
767
What is the greatest common factor of 26 and 633763?
13
What is the greatest common factor of 9338 and 29232?
406
Calculate the greatest common factor of 27 and 108159.
3
Calculate the highest common factor of 817 and 37797.
43
What is the highest common divisor of 192867 and 159?
159
What is the greatest common divisor of 407 and 1650?
11
What is the greatest common factor of 14932 and 72?
4
What is the greatest common divisor of 58488 and 168?
24
Calculate the highest common factor of 1624 and 34307.
203
What is the highest common factor of 384 and 942?
6
What is the greatest common divisor of 546 and 13065?
39
Calculate the highest common factor of 39967 and 153.
17
What is the greatest common divisor of 2666 and 6293?
31
What is the highest common factor of 18148 and 2109356?
1396
What is the greatest common factor of 2094 and 9074?
698
Calculate the highest common factor of 145275 and 525.
75
What is the highest common factor of 43446 and 78?
78
Calculate the greatest common factor of 176251 and 1011.
337
What is the greatest common divisor of 1805 and 15275?
5
Calculate the highest common factor of 459 and 90504.
27
Calculate the highest common divisor of 249 and 192477.
249
What is the greatest common divisor of 31191 and 2109?
111
What is the highest common divisor of 10 and 230?
10
Calculate the greatest common factor of 2542 and 2666.
62
What is the greatest common factor of 12762 and 216?
18
Calculate the greatest common factor of 555 and 185.
185
What is the greatest common factor of 289376 and 24?
8
What is the highest common factor of 1632 and 8992?
32
Calculate the greatest common divisor of 5 and 5054305.
5
What is the highest common divisor of 162 and 10410?
6
What is the highest common factor of 2330 and 24495290?
2330
Calculate the highest common divisor of 224 and 70880.
32
Calculate the highest common factor of 49 and 4067.
49
What is the greatest common divisor of 418 and 13772?
22
Calculate the greatest common divisor of 301155 and 255.
255
What is the greatest common divisor of 18750 and 222?
6
Calculate the greatest common factor of 12792 and 429.
39
Calculate the greatest common factor of 1717725 and 19425.
2775
Calculate the highest common factor of 2729903 and 451.
451
Calculate the greatest common factor of 9 and 1590021.
9
What is the highest common divisor of 91 and 3283?
7
Calculate the highest common divisor of 106680 and 576.
24
Calculate the greatest common divisor of 96311 and 148.
37
What is the highest common divisor of 28 and 338828?
28
Calculate the greatest common factor of 44965 and 425.
85
What is the greatest common factor of 204189 and 3480?
87
What is the greatest common factor of 648 and 14010?
6
Calculate the greatest common factor of 1386 and 84798.
126
Calculate the greatest common divisor of 466 and 250.
2
What is the highest common divisor of 166225 and 59475?
1525
What i | {
"pile_set_name": "DM Mathematics"
} |
525*b**2/4 - 58529*b/4 + 34347/2.
(b - 107)**2*(b - 3)*(b - 2)/4
Factor 3*f**3/7 - 2883*f**2/7 + 2880*f/7.
3*f*(f - 960)*(f - 1)/7
Suppose -4*i**5 - 116*i**4 - 412*i**3 - 284*i**2 + 416*i + 400 = 0. Calculate i.
-25, -2, -1, 1
Factor 3*x**3 + 111*x**2 + 480*x.
3*x*(x + 5)*(x + 32)
Find u such that -u**2 - 1750*u - 1749 = 0.
-1749, -1
Solve 2*y**5 - 36*y**4 + 110*y**3 + 420*y**2 - 112*y - 384 = 0 for y.
-2, -1, 1, 8, 12
Factor 2*k**4 + 56*k**3 + 170*k**2 - 3468*k.
2*k*(k - 6)*(k + 17)**2
What is l in 5*l**4 - 560*l**3 + 13305*l**2 + 28310*l + 14440 = 0?
-1, 38, 76
Factor 3*r**4/4 - 45*r**3/4 + 21*r**2/2.
3*r**2*(r - 14)*(r - 1)/4
Let -y**4 - 11*y**3 - 42*y**2 - 68*y - 40 = 0. Calculate y.
-5, -2
Solve -2*r**2/5 - 36*r - 720 = 0.
-60, -30
Solve 2*m**4/7 - 664*m**3/7 + 1322*m**2/7 - 660*m/7 = 0 for m.
0, 1, 330
Factor -m**3/3 - 3*m**2 + 25*m/3 + 11.
-(m - 3)*(m + 1)*(m + 11)/3
Determine q, given that 18*q**3/7 + 5718*q**2/7 - 7648*q/7 + 2552/7 = 0.
-319, 2/3
Factor -4*n**3/3 - 23*n**2/6 - 13*n/6 + 1/3.
-(n + 1)*(n + 2)*(8*n - 1)/6
Factor 21*w**3/5 + 699*w**2/5 - 1272*w/5 - 84.
3*(w - 2)*(w + 35)*(7*w + 2)/5
Let 4*q**3 + 20*q**2 - 3000*q = 0. Calculate q.
-30, 0, 25
Factor -108*c**3 + 532*c**2 + 2632*c + 192.
-4*(c - 8)*(c + 3)*(27*c + 2)
What is t in t**4/4 + 12*t**3 - 49*t**2/4 = 0?
-49, 0, 1
Factor -2*k**4/5 + 6*k**3/5 + 98*k**2/5 + 18*k.
-2*k*(k - 9)*(k + 1)*(k + 5)/5
Find i such that 56*i**3/3 - 450*i**2 + 142*i/3 + 16 = 0.
-1/7, 1/4, 24
Solve 48*c**4 - 218*c**3 + 362*c**2 - 262*c + 70 = 0.
7/8, 1, 5/3
Find q, given that -4*q**5/5 - 21*q**4/5 + 47*q**3/5 - 3*q**2 - 7*q/5 = 0.
-7, -1/4, 0, 1
Let -16*t**5/3 - 104*t**4/3 - 209*t**3/3 - 58*t**2/3 + 75*t + 54 = 0. Calculate t.
-9/4, -2, -1, 1
Suppose -3*y**5 + 27*y**4 - 69*y**3 + 21*y**2 + 72*y - 48 = 0. Calculate y.
-1, 1, 4
Factor -2*g**4 - 8*g**3 - 4*g**2 + 8*g + 6.
-2*(g - 1)*(g + 1)**2*(g + 3)
Determine r, given that 2*r**4/9 + 58*r**3/9 + 208*r**2/3 + 2944*r/9 + 5120/9 = 0.
-8, -5
Factor 3*w**3 + 54*w**2 + 45*w - 102.
3*(w - 1)*(w + 2)*(w + 17)
Determine a, given that a**4/2 + 203*a**3/2 - 309*a**2 = 0.
-206, 0, 3
Suppose -v**3 + v**2 + 182*v = 0. Calculate v.
-13, 0, 14
Factor -2*b**2/17 - 76*b/17 - 74/17.
-2*(b + 1)*(b + 37)/17
Solve s**2/3 - 8522*s/3 + 18156121/3 = 0.
4261
Solve 3*b**2 + 144*b = 0.
-48, 0
What is a in 2*a**5/3 - 7*a**4/3 - a**3 + 25*a**2/3 - 23*a/3 + 2 = 0?
-2, 1/2, 1, 3
Suppose 4*i**2 + 3996*i - 8008 = 0. What is i?
-1001, 2
Find g such that 5*g**4 - 25*g**2 + 20 = 0.
-2, -1, 1, 2
Determine i so that 2*i**4/5 + 94*i**3/15 + 178*i**2/15 - 382*i/15 + 104/15 = 0.
-13, -4, 1/3, 1
Factor 2*k**4/3 - 232*k**3 - 2848*k**2 - 34432*k/3 - 15360.
2*(k - 360)*(k + 4)**3/3
Find k, given that 3*k**2/5 + 36*k/5 + 12 = 0.
-10, -2
Let 3*r**4 - 48*r**3 - 51*r**2 = 0. Calculate r.
-1, 0, 17
Solve 4*u**2/3 + 52*u = 0 for u.
-39, 0
Factor -z**2/2 + 21*z/2 + 36.
-(z - 24)*(z + 3)/2
Solve -10*v**2/11 + 2*v/11 + 8/11 = 0.
-4/5, 1
Find t such that 4*t**2 + 68024*t + 289204036 = 0.
-8503
Determine v so that -3*v**3/7 - 39*v**2/7 + 45*v - 513/7 = 0.
-19, 3
Solve -2*i**4/3 - 10*i**3 + 2*i**2 + 86*i/3 - 20 = 0 for i.
-15, -2, 1
Factor -3*j**3 + 30*j**2 - 33*j - 210.
-3*(j - 7)*(j - 5)*(j + 2)
Suppose 3*s**3 - 42*s**2 + 123*s + 168 = 0. What is s?
-1, 7, 8
What is h in -h**2 + 30*h - 125 = 0?
5, 25
Factor u**2/7 + 68*u/7 + 1156/7.
(u + 34)**2/7
Let a**3 - 158*a**2 + 157*a = 0. What is a?
0, 1, 157
Factor 4*d**3 + 36*d**2 + 104*d + 96.
4*(d + 2)*(d + 3)*(d + 4)
Factor 551*o**3/4 - 1101*o**2/2 + 549*o + 2.
(o - 2)**2*(551*o + 2)/4
Suppose -2*k**3/5 + 4*k**2 + 46*k/5 + 24/5 = 0. What is k?
-1, 12
Suppose 28*u**5 + 456*u**4 + 2592*u**3 + 6080*u**2 + 5568*u + 1152 = 0. What is u?
-6, -2, -2/7
Find n, given that -7*n**5/2 - 69*n**4/2 - 23*n**3 + 228*n**2 - 32*n = 0.
-8, -4, 0, 1/7, 2
Factor -n**2/2 - 101*n - 10201/2.
-(n + 101)**2/2
Find p, given that 405*p**5 + 1195*p**4 + 750*p**3 - 40*p**2 = 0.
-2, -1, 0, 4/81
Factor 3*c**4 + 38*c**3 + 84*c**2 + 40*c.
c*(c + 2)*(c + 10)*(3*c + 2)
Find v such that 2*v**4/3 + 28*v**3/3 + 128*v**2/3 + 76*v + 42 = 0.
-7, -3, -1
Determine o so that -11*o**5 + 46*o**4 - 19*o**3 - 64*o**2 + 12*o = 0.
-1, 0, 2/11, 2, 3
Factor -72*f**2 + 196*f + 60.
-4*(f - 3)*(18*f + 5)
What is u in -3*u**5/4 - 39*u**4/4 + 213*u**3/4 + 99*u**2/4 - 459*u/2 = 0?
-17, -2, 0, 3
What is s in 2*s**3/3 + 10*s**2/3 - 24*s = 0?
-9, 0, 4
What is g in 2*g**3/5 - 512*g**2/5 + 33274*g/5 - 64516/5 = 0?
2, 127
Suppose -14*s**4/11 + 1278*s**3/11 + 4914*s**2/11 + 2482*s/11 - 1140/11 = 0. What is s?
-3, -1, 2/7, 95
What is n in 3*n**3/4 - 21*n**2 + 75*n - 72 = 0?
2, 24
Determine y so that -2*y**5/5 - 14*y**4/5 - 6*y**3 - 2*y**2 + 32*y/5 + 24/5 = 0.
-3, -2, -1, 1
Determine y, given that -35*y**3 + 920*y**2 - 6175*y + 1690 = 0.
2/7, 13
Factor -5*n**2/4 - 5*n/2 + 10.
-5*(n - 2)*(n + 4)/4
Factor -2*l**4/5 - 3614*l**3/5 - 326886*l**2 - 1630818*l/5.
-2*l*(l + 1)*(l + 903)**2/5
Determine s so that -s**4/5 - 11*s**3/5 + 12*s**2/5 + 256*s/5 - 256/5 = 0.
-8, 1, 4
Factor -4*v**4 + 16*v**3 - 20*v**2 + 8*v.
-4*v*(v - 2)*(v - 1)**2
Let -f**2/2 + 16*f - 78 = 0. Calculate f.
6, 26
Let 3*j**3 - 6*j**2 + 3*j = 0. Calculate j.
0, 1
Factor 5*m**2/3 - 515*m/3 + 170.
5*(m - 102)*(m - 1)/3
Solve -10*c**4/3 + 134*c**3/3 - 272*c**2/3 + 88*c/3 = 0 for c.
0, 2/5, 2, 11
Factor -3*t**2/4 - 3*t/4 + 3/2.
-3*(t - 1)*(t + 2)/4
Factor -261*b**2 - 525*b - 6.
-3*(b + 2)*(87*b + 1)
Factor -2*m**3/9 + 478*m**2/9 - 476*m/9.
-2*m*(m - 238)*(m - 1)/9
What is i in -i**3 - 8*i**2 + i + 8 = 0?
-8, -1, 1
Factor 3*u**3/5 + 177*u**2/5 + 2484*u/5.
3*u*(u + 23)*(u + 36)/5
Determine v, given that 3*v**4 - 3*v**3 = 0.
0, 1
Factor n**4 - 5*n**3 + 6*n**2 + 4*n - 8.
(n - 2)**3*(n + 1)
Determine b so that 2*b**4/5 + 2*b**3 - 26*b**2/5 + 14*b/5 = 0.
-7, 0, 1
Suppose 4*d**2/3 + 2304*d + 995328 = 0. What is d?
-864
Find y, given that 2*y**5/9 + 2*y**4/9 - 4*y**3/9 - 4*y**2/9 + 2*y/9 + 2/9 = 0.
-1, 1
Suppose k**4/3 - k**3 - k**2 + 11*k/3 - 2 = 0. What is k?
-2, 1, 3
Factor -5*v**3/3 - 246*v**2 + 296*v/3.
-v*(v + 148)*(5*v - 2)/3
Find u such that u**2 + 332*u - 2720 = 0.
-340, 8
Determine k, given that k**3 + 11*k**2 - k - 11 = 0.
-11, -1, 1
Suppose k**2 + 15*k - 2296 = 0. What is k?
-56, 41
Solve -3375*w**4/2 + 65475*w**3/2 - 12915*w**2 + 1714*w - 76 = 0.
2/15, 19
Factor 2*x**3 - 50*x**2 + 48*x.
2*x*(x - 24)*(x - 1)
Factor -405*n**3 - 9360*n**2 + 8560*n - 1920.
-5*(n + 24)*(9*n - 4)**2
Solve -2*j**2 + 2*j + 40 = 0 for j.
-4, 5
Factor -3*z**3/2 - 9*z**2/2 + 6*z.
-3*z*(z - 1)*(z + 4)/2
Factor 3*h**5 - 669*h**4 + 55062*h**3 - 1929906*h**2 + 20556423*h + 158340015.
3*(h - 57)**4*(h + 5)
Factor 6*n**2 - 183*n/5 + 252/5.
3*(n - 4)*(10*n - 21)/5
Factor -5*x**5 + 385*x**4 - 755*x**3 + 375*x**2.
-5*x**2*(x - 75)*(x - 1)**2
Solve 5*x**4 - 1020*x**3 + 78030*x**2 - 2653020*x + 33826005 = 0.
51
Suppose z**3/5 - 45*z**2 + 888*z/5 - 884/5 = 0. What is z?
2, 221
Factor f**4/2 - 19*f**3 + 18*f**2 + 19*f - 37/2.
(f - 37)*(f - 1)**2*(f + 1)/2
Factor 48*f**2 + 20*f + 2.
2*(4*f + 1)*(6*f + 1)
Factor -5*n**2 - 12540*n - 7862580.
-5*(n + 1254)**2
Solve -3*g**5 - 27*g**4 + 210*g**3 + 1962*g**2 + 4401*g + 2673 = 0 for g.
-11, -3, -1, 9
Factor -4*m**3 - 60*m**2 - 188*m - 132.
-4*(m + 1)*(m + 3)*(m + 11)
Factor -3*t**5/2 + 3*t**3/2.
-3*t**3*(t - 1)*(t + 1)/2
Factor -a**4/5 + 14*a**3/5 - 33*a**2/5 - 112*a/5 - 64/5.
-(a - 8)**2*(a + 1)**2/5
Determine r so that 4*r**4 - 84*r**3 - 600*r**2 - 1264*r - 864 = 0.
-2, 27
Factor m**4 + 33*m**3 + 206*m**2 - 240*m.
m*(m - 1)*(m + 10)*(m + 24)
Factor 2*x**2 + 572*x + 40898.
2*(x + 143)**2
Factor 2*k**2 - 1330*k + 1328.
2*(k - 664)*(k - 1)
Find l, given that 3*l**2/2 - 39*l/2 - 2775 = 0.
-37, 50
Factor -3*v**3 - 21*v**2 + 120*v - 132.
-3*(v - 2)**2*(v + 11)
Solve -25*b**5/3 - 5*b**4 + 34*b**3/3 + 14*b**2/3 - 3*b + 1/3 = 0 for b.
-1, 1/5, 1
Determine m, given that -8*m**3 - 2*m**2 + m = 0.
-1/2, 0, 1/4
Factor 3*w**3/2 + 21*w**2/2 + 21*w/2 - 45/2.
3*(w - 1)*(w + 3)*(w + 5)/2
Let -2*s**3/3 + 446*s**2/3 + 452*s/3 - 896/3 = 0. Calculate s.
-2, 1, 224
Determine k so that 21*k**3 + 72*k**2 + 69*k + 18 = 0.
-2, -1, -3/7
Determine m so that -m**4 + 7*m**3 + 753*m**2 + 1481*m + 736 = 0.
-23, -1, 32
Find x, given that -56*x**4 - 142*x**3 - 120*x**2 - 38*x - 4 = 0.
-1 | {
"pile_set_name": "DM Mathematics"
} |
f 7?
True
Let m(f) be the third derivative of -3*f**4/8 + 161*f**3/3 - 41*f**2. Is m(0) a multiple of 23?
True
Suppose 0*q - 2*q + 8 = -4*j, q = -5*j + 4. Suppose 5*a + v - 680 = 0, -v = q*a - 2*v - 553. Does 2 divide a?
False
Suppose o + 81 = -3*w - 127, 0 = -4*o - 4. Let g be (1596/(-63))/((-2)/(-9)). Let h = w - g. Is 15 a factor of h?
True
Does 74 divide 4329/13*(-246)/(-27)?
True
Is (-12 - 6)*120/(-4)*2 a multiple of 30?
True
Suppose 0 = -d + 2, d - 16 = 4*r + 10. Let j(h) = -21*h - 16. Let f be j(r). Suppose t - f = -t. Does 19 divide t?
False
Let b = 264 - 185. Let m = b - 30. Let c = m - -71. Is c a multiple of 30?
True
Suppose -14*r + 11*r = d + 1, 4 = -4*d + 5*r. Let q(y) = -428*y**3 - y**2 - y - 1. Is q(d) a multiple of 44?
False
Let g be ((-2)/6)/((-1)/51). Suppose -2*n = -3 - g. Suppose -5*d + n*d - 260 = 0. Is d a multiple of 13?
True
Let j(d) be the third derivative of -d**5/60 + 7*d**4/2 - 5*d**3/2 - d**2. Let p(m) be the first derivative of j(m). Is 21 a factor of p(0)?
True
Let y(v) = -3*v**3 - 7*v**2 - 6*v - 4. Let d(t) = -t**3 - t**2 - 1. Let f(r) = 2*d(r) - y(r). Is 5 a factor of f(3)?
False
Let c(y) = y**3 - 28*y**2 + 183*y - 89. Is 3 a factor of c(27)?
False
Suppose -9*h = 14*h + 6*h - 1015. Does 5 divide h?
True
Let n(m) = m**3 - 42*m**2 + 41*m + 1. Let l be n(41). Does 41 divide 3 - 0/l - (-190 + 12)?
False
Let f(q) = 5*q**2 + 11*q + 35. Let j be f(-5). Is ((-7)/(j/(-114)))/((-2)/(-270)) a multiple of 18?
True
Let y be 185*1/((-10)/8). Let m = 304 + y. Is m a multiple of 4?
True
Let n(y) = y**3 + 8*y**2 - 13*y - 31. Let s(d) = -d**3 + 11*d**2 - 10*d - 9. Let a be s(10). Let w be n(a). Suppose -16*r + 517 = -w*r. Is r a multiple of 2?
False
Suppose -m + 1509 = 5*r, -2*m = -4*m + 3*r + 3083. Is m a multiple of 36?
False
Let w = 485 + -265. Let c(f) = f**3 + 15*f**2 - 28*f - 38. Let x be c(-17). Let u = w + x. Does 16 divide u?
True
Is 3 a factor of (((-1680)/1400)/(3/5))/(4/(-706))?
False
Is (2/(-7) - 115022/6965)*-235 a multiple of 28?
True
Suppose 3*t - 170 = 4*s + 155, 2*t = -2*s + 184. Does 3 divide t?
True
Let n be (0 + -2)/(6/(-375)*-5). Let s = n - -26. Is 54/s + -2 + (1 - -1) a multiple of 27?
True
Let t(v) = -3*v - 7. Let r be t(-3). Suppose -p - 3*c = r*p - 1062, 4*p - 1401 = -c. Does 23 divide p?
False
Let v(g) = g**3 - 5*g**2 + 6*g - 6. Let m be (-2 - 0)/((-13)/(195/6)). Let r be (m/10)/((-2)/4) + 6. Does 8 divide v(r)?
True
Let f(m) = 2*m + 3 - m**2 + 2 + 0*m - 15*m**3 - 4. Let d be f(2). Let x = -69 - d. Does 10 divide x?
True
Let z = -80 - -54. Let s = z - -220. Let q = s - 48. Does 12 divide q?
False
Let b(d) = -d**3 + 22*d**2 + 18*d + 18. Let y be b(22). Suppose -1506 + y = -7*k. Is 39 a factor of k?
True
Let t(x) = -x**2 + x + 160. Let s be t(-12). Suppose -2*c = -s*m - 924, 3*m = -5*c + 877 + 1368. Is 12 a factor of c?
False
Suppose 1031*n - 1037*n = -19152. Is n a multiple of 84?
True
Suppose 3*b + 5*x - 2828 - 728 = 0, -5910 = -5*b - 5*x. Does 11 divide b?
True
Let t(p) = 2*p + 47. Let r(a) = a + 23. Let h(c) = -5*r(c) + 2*t(c). Let b be h(-24). Suppose b*w + 280 = 2*y, -554 = -3*y - y + 3*w. Is y a multiple of 27?
False
Let u be (16890/(-12) - (-6)/(-4))*-1. Let y = -771 + u. Does 22 divide y?
True
Suppose 14*z - 16*z + 232 = 0. Suppose -7*k + 242 = z. Is k a multiple of 2?
True
Suppose 2361*p = 2368*p - 91. Is 2351/p - (2 - 56/26) a multiple of 24?
False
Let z(b) = b**2 - 31. Let f be z(6). Suppose f*k - k - 128 = 0. Is (-3)/((-12)/(-2))*(0 - k) a multiple of 11?
False
Let f = 988 - -9792. Is f a multiple of 187?
False
Let t be (-65)/(-7) - (-4)/(-14). Let d = t + -3. Suppose -d*m - 55 = -205. Is m a multiple of 2?
False
Suppose 3*w - 5 = -0*x - 5*x, 4*x - 31 = 3*w. Suppose 2*g - 2*a - x = -0, -5*a - 8 = -3*g. Does 12 divide g/(6/4) + 2816/24?
False
Suppose -12*p + 32 = -4*p. Suppose 273 = p*m + 45. Is m a multiple of 8?
False
Suppose 287 = -9*o + 944. Suppose 2*h - 471 = -o. Suppose -3*x + m + h = -4*m, 0 = -5*x + 4*m + 323. Is x a multiple of 9?
True
Suppose -2*y - 12 = -20. Suppose 2*j = -f + 398, f - y*f - j + 1199 = 0. Is 16 a factor of f?
True
Suppose -2*m + 6*f - 1 = 3*f, -2*f + 2 = 0. Suppose -2*n = -3*y + 66, -7*n = -3*n - 12. Does 19 divide 79/m + y/(-8)?
True
Suppose 0 = -2*o - 12, 87*j - o = 92*j - 20374. Is 9 a factor of j?
False
Suppose -5*p + 6 = -4. Let q(o) = 0 - 2*o + 2 + 3*o**p - 13. Does 9 divide q(5)?
True
Suppose -5*f + b = -948, -2*f + 447 = -3*b + 86. Is f a multiple of 65?
False
Let q be (6/4)/((-12)/(-15232)). Let k = -1204 + q. Is k a multiple of 55?
False
Is 27162/9 + -6 + -6 - -8 a multiple of 26?
False
Let c = -55 - -367. Suppose d = 2, 0 = -2*b - 0*d - d + c. Is b a multiple of 58?
False
Suppose -312 = -r - 327. Let m(g) = g**2 + 6*g + 1. Let d be m(-4). Is (d/3)/(1/r) a multiple of 21?
False
Let w(q) = -352*q + 1646. Is 30 a factor of w(-7)?
True
Is 185 a factor of ((-4)/(-3))/(602/4176375)?
True
Suppose -4*u - 76 = -4*t, -55 = 3*u - 5*t + 4*t. Let d = u + 25. Suppose 6*p = 5*p + d. Is p even?
False
Suppose -3*s + 5*n + 260 = 0, 4*s - 8*n = -13*n + 300. Suppose 0 = -421*d + 417*d + s. Is 12 a factor of d?
False
Let s(q) = q**2 + q + 29. Let b be s(-6). Let m = -47 + b. Suppose 5*a - m = 13. Is a a multiple of 5?
True
Let a = -1293 - -2295. Suppose 4*c - 4*s = 2*c + a, -1014 = -2*c - 2*s. Is 62 a factor of c?
False
Let t be -1*(-1)/(1/23). Suppose -53 = 5*x - 8. Let p = t + x. Is p a multiple of 14?
True
Let k(f) = f**2 + f - 14. Let i be k(-5). Suppose 5*z - 1220 = -0*z. Is 6 a factor of 1/3 + (z/i - 1)?
False
Let d be (3 + -6)*-1 + 1*2. Suppose -3*u = -q - 1027, -4*u - d*q + q = -1364. Does 12 divide u?
False
Suppose 0 = -2*d + 6, 3*c + 27*d = 32*d + 150. Let h = 20 - 54. Let b = c + h. Is 7 a factor of b?
True
Suppose 2*l + 53 = 2*a - 3, 0 = a + 2*l - 13. Let f = 42 - a. Suppose -16*z = -f*z + 39. Is z a multiple of 4?
False
Suppose 169*x = 166*x + 6216. Suppose -26*m = -33*m + x. Is m a multiple of 9?
False
Let m(x) = -2*x**2 - 11*x - 42. Suppose 42 = -9*k - 3. Let u(i) = i**2 + 6*i + 22. Let q(l) = k*u(l) - 3*m(l). Is q(-9) a multiple of 26?
False
Suppose 4018 = -6*z + 15593 + 6551. Is 5 a factor of z?
False
Suppose 21*x - 20423 - 70297 = -14*x. Is 3 a factor of x?
True
Suppose 13*u = -2*u + 228000. Is 50 a factor of u?
True
Let h be (-2 - -4) + (-992)/(-3 + 1). Suppose -32*m + 35*m = 3*p + h, -2*m = 4*p - 350. Is 20 a factor of m?
False
Suppose 18*p - 64 = 22*p. Is (-6)/p - (-68926)/176 a multiple of 7?
True
Suppose -5*z = 4*c + c + 20, 4*c + 3*z + 13 = 0. Is c/((4/(-6) + 1)/(-1)) a multiple of 3?
True
Suppose 78 = -2*b + 5*b. Let v(i) = 8*i - 112. Does 48 divide v(b)?
True
Let v(x) = 6*x**3 + 5*x**2 - 2*x - 1. Let i(z) = -z**3 + z**2 + z + 1. Let c(b) = -5*i(b) - v(b). Does 5 divide c(-11)?
True
Suppose 4*j = 149 - 13. Let m = j + -32. Suppose w = 2*x - 227, -m*x - 5*w - 12 = -269. Does 10 divide x?
False
Suppose 120*y - 123*y = 4*d - 38834, 48544 = 5*d + 4*y. Is d a multiple of 2?
True
Suppose 106 = -26*t + 28. Let d(b) = -45*b + 185. Does 10 divide d(t)?
True
Let d(n) = 76*n + 101. Let p be 1064/114*(-3)/(-2). Is d(p) a multiple of 75?
False
Suppose 38*k - 87698 = 538. Is 9 a factor of k?
True
Let p = -3824 + 7600. Does 4 divide p?
True
Is 2 a factor of -4 + (-80)/(-15) + 247280/120?
True
Suppose 7*g - 167938 = 114302. Is 160 a factor of g?
True
Let m be 7 - (3 - -2) - 3. Let s(h) = -36*h + 45. Is s(m) a multiple of 18?
False
Let k = 383 + -382. Let b(x) = 8*x**2 + 16*x - 17. Is 7 a factor of b(k)?
True
Suppose -3*p = -5*p + 16. Suppose -96 = 2*i - p*i. Is (-483)/14*1/((-6)/i) a multiple of 23?
True
Let t(g) be the third derivative of -g**4/24 + g**2. Let z(i) = 2*i - 6. Let s(n) = t(n) - z(n). Is 6 a factor of s(-4)?
True
Suppose 0 = -2255*d + 2211*d + 294800. Does 268 divide d?
True
Let g(s) = -s**2 + 10*s - 16. Let i be g(6). Suppose -550 = -5*h + 5*r, 6*r = -3*h + i*r + 325. Does 35 divide h?
True
Suppose j - 4*x - 2280 = 0, 5 = -13*x + 8*x. Suppose -z + 566 = n, -3*z = -4*n - 4*z + j. Is n a multiple of 10?
True
Let c = 27029 - 5278. Is 71 a factor of c?
False
Suppose -24 + 0 = -3*l. Suppose -14*a - 72 = -l*a. Is 13 - -124 - 5/(15/a) a multiple of 16?
False
Let p = 6444 - 4236. Is 24 a factor of p?
True
Let w(a) = -215*a**2 + 14*a + 4. Let d be w(-2 | {
"pile_set_name": "DM Mathematics"
} |
1573) + -2*sqrt(1573) + -4 + -2 + sqrt(1573)*-1 + sqrt(1573))**2 + -6*sqrt(1573)*-1 + 2.
198*sqrt(13) + 1611
Simplify (-3*sqrt(156)/sqrt(4) + sqrt(1404)*-1)/(sqrt(27)/(-1*sqrt(81))).
27*sqrt(13)
Simplify -6*(-5 + sqrt(1300)*1 + 2 - (sqrt(1300) + (-1 + sqrt(1300))*-4)*-3)**2.
-499686 + 8640*sqrt(13)
Simplify (-5 + 2*sqrt(275) + 5 + 1 + sqrt(275) + sqrt(275) + 0)**2*-5*-6.
1200*sqrt(11) + 132030
Simplify (2*sqrt(50) - (2*sqrt(2) + -3))*6 - (3 + sqrt(242) + 0 + 4).
11 + 37*sqrt(2)
Simplify (1 + -3*sqrt(1377)*-1 + -5)**2.
-216*sqrt(17) + 12409
Simplify (-1 + ((0 + sqrt(5)*-4)*3 + 4)*3)**2.
-792*sqrt(5) + 6601
Simplify ((sqrt(624)*1*-4)/((sqrt(72)*-4)/sqrt(6) - sqrt(12))*2)**2.
3328/25
Simplify -1 + 1 + sqrt(171)/sqrt(144) + 6*(-1*sqrt(19) - sqrt(19))**2 + 5 + sqrt(475).
21*sqrt(19)/4 + 461
Simplify -1*(0 + 2 + sqrt(300)).
-10*sqrt(3) - 2
Simplify ((5*(-4*sqrt(176) + sqrt(176)))/(sqrt(576) - sqrt(576)*-1))**2.
275/16
Simplify (-5*sqrt(686)*-1)/((sqrt(1458) - sqrt(1458)*3) + sqrt(1458)).
-35*sqrt(7)/27
Simplify (sqrt(252)*2*-3*-4 + 4*(sqrt(252) + 1 + -1 - sqrt(252)) + 5)**2.
1440*sqrt(7) + 145177
Simplify ((1 + sqrt(931) - sqrt(931) - sqrt(931))**2 + sqrt(931) - -2*sqrt(76)/sqrt(4)) + 1 + -4*-3*(sqrt(76) - (-1 + sqrt(76)))**2.
-5*sqrt(19) + 945
Simplify (-3 + (-1 + sqrt(500) + -1)*-4)**2 + 1.
-400*sqrt(5) + 8026
Simplify (-3 + 3 + (3 + sqrt(176)*-1 - sqrt(176))**2 + -5*(sqrt(176) - 1*sqrt(176)))*-3.
-2139 + 144*sqrt(11)
Simplify ((sqrt(500) + -3 - (sqrt(405)*-6)**2) + -4)*5*-4.
-200*sqrt(5) + 291740
Simplify (5*1*sqrt(9) - sqrt(9))/(sqrt(30)/(sqrt(30)/sqrt(3))) - (sqrt(972) - (sqrt(972)*-2 + sqrt(972)) - sqrt(12))/(sqrt(176)/sqrt(11) - sqrt(4)).
-13*sqrt(3)
Simplify -2*(-5 + -2*(sqrt(1300) + (5 + sqrt(1300)*1)**2)).
440*sqrt(13) + 5310
Simplify ((sqrt(104)*1 + sqrt(104))*-5)/(sqrt(8) + (sqrt(968) - sqrt(968)*-3) + sqrt(8)) + 2.
-5*sqrt(13)/23 + 2
Simplify 1*(1 + 5*(sqrt(405) - 2*sqrt(405)) + -4)**2.
270*sqrt(5) + 10134
Simplify (5*(-1*sqrt(77) + sqrt(77))*-3)/(4*sqrt(539)*1).
0
Simplify -6*((sqrt(300) + -1 - sqrt(300))**2 + sqrt(363)*-1).
-6 + 66*sqrt(3)
Simplify -6*(-2*sqrt(2736) + 5 + (-3 + sqrt(1900) + 4)**2).
-11436 + 24*sqrt(19)
Simplify (sqrt(125) - (sqrt(125) - ((1 + sqrt(125) + sqrt(125))*-1 + sqrt(125))) - (3*sqrt(125) + -2))**2.
-40*sqrt(5) + 2001
Simplify (1 + sqrt(99)/(1*sqrt(9)) + sqrt(11) + sqrt(11) + sqrt(11) + -1 + -2)**2 + ((sqrt(891) - (sqrt(891)*-2 + 4))*1)**2.
-232*sqrt(11) + 8215
Simplify 1*(sqrt(19) + sqrt(57)/sqrt(3)*1 - sqrt(19)) - (2*sqrt(171)*6)**2.
-24624 + sqrt(19)
Simplify 4*(1 + -2*sqrt(275)) + (4*(sqrt(275) - 4*-1*sqrt(275)))**2 + 5.
-40*sqrt(11) + 110009
Simplify 0 + (5 + (sqrt(44)/sqrt(4))**2 + 5 + 0)*-5.
-105
Simplify (-1*2*sqrt(171) + sqrt(171) + sqrt(171) + -6*2*sqrt(171))/(sqrt(225) + 1*sqrt(225) + sqrt(225) - 1*sqrt(81)) + -3.
-sqrt(19) - 3
Simplify 4*(sqrt(1300)*-2)**2*-5 + 1*(sqrt(1300) + 1) + (-2 + sqrt(1300))*-1.
-103997
Simplify (1*(((sqrt(726) - sqrt(726)*-2 - sqrt(726)) + sqrt(726) + sqrt(726))/sqrt(3) + 1))**2.
88*sqrt(2) + 3873
Simplify -5 + (6*sqrt(55)/(-5*sqrt(25)/sqrt(5))*-4)**2.
6211/25
Simplify ((3*((sqrt(133)*1 - sqrt(133)) + sqrt(133)) - sqrt(133))*-2)/(5*-1*sqrt(847)).
4*sqrt(19)/55
Simplify ((sqrt(256) + -4*(sqrt(256) + (sqrt(256) - 2*sqrt(256) - sqrt(256)) + sqrt(256)))/((sqrt(2) - 2*sqrt(8)/sqrt(4))*-6))**2*3.
32/3
Simplify -4*(-4 + (-2*sqrt(171) + 4 - sqrt(171)*-4*3)).
-120*sqrt(19)
Simplify -3*(2*sqrt(931)*-4 + -1 - (1 + (sqrt(931) + 0 + -4 - sqrt(931))))**2.
-178764 + 672*sqrt(19)
Simplify ((1 + sqrt(325) - sqrt(325))*3)**2 + 4 - (((sqrt(325)*-2)**2 + sqrt(325))*2 + -2 + 0 + sqrt(325)).
-2585 - 15*sqrt(13)
Simplify 4 + 1 + ((sqrt(98) - (-4*sqrt(98) - sqrt(98) - sqrt(98)))**2*-2 - sqrt(98) - (sqrt(98) + -1)*-4).
-9603 + 21*sqrt(2)
Simplify -6*(3*((sqrt(1377) + -1 - sqrt(1377)) + sqrt(1377))*-5)**2.
-1860300 + 24300*sqrt(17)
Simplify 0 + sqrt(448) + -1 + -4 + -5*sqrt(448)*2 + 3.
-72*sqrt(7) - 2
Simplify (-1 + -1*sqrt(468)*3)**2*2.
72*sqrt(13) + 8426
Simplify -4*((sqrt(30)/(sqrt(18)/(sqrt(9)*1) + sqrt(2)))/(sqrt(33)/((sqrt(99)/sqrt(3))/sqrt(3))))**2.
-5
Simplify ((sqrt(275) + 1)*-6 + -1*sqrt(275) + -2 + -2)**2.
700*sqrt(11) + 13575
Simplify 5*(sqrt(18) + 5 + 4*sqrt(6)/sqrt(3))**2 + (sqrt(100)/sqrt(2) + sqrt(2) - -4*(sqrt(72))**2).
356*sqrt(2) + 903
Simplify ((sqrt(270)/(sqrt(36)/sqrt(4)))/((sqrt(54) + sqrt(1350) - sqrt(54))/sqrt(9))*2*-2)**2.
16/5
Simplify (5*sqrt(4200)*-2)/(-1*(sqrt(6) + 4*sqrt(96))).
100*sqrt(7)/17
Simplify (-1*(sqrt(147) + sqrt(147)*-2*-2 + -3 + 3*sqrt(147)))**2.
-336*sqrt(3) + 9417
Simplify ((sqrt(684) - (sqrt(684) + -3*-3*sqrt(684)))*-4 + -2 + 1 + 2*sqrt(684))**2.
-456*sqrt(19) + 987697
Simplify -6*(1 + sqrt(175)) + (3*sqrt(63)*4)/sqrt(9).
-18*sqrt(7) - 6
Simplify ((sqrt(285) + sqrt(285)*-2)/sqrt(5))/((sqrt(3) + sqrt(6)/sqrt(2))*3)*-5.
5*sqrt(19)/6
Simplify 5*(0 + sqrt(252)*4 + 0).
120*sqrt(7)
Simplify (-1*sqrt(2400))/((sqrt(88) + 1*sqrt(88))/sqrt(11)) + 3.
-5*sqrt(3) + 3
Simplify -4 + (1*sqrt(176)*-6 - (1 + sqrt(176))*2)**2.
128*sqrt(11) + 11264
Simplify ((sqrt(30) + -2*sqrt(30))*-6 + sqrt(270)*6)/((2*sqrt(66)*-4)/sqrt(11)).
-3*sqrt(5)
Simplify -4 + (-5*(1 + sqrt(1377) + sqrt(1377) + 0))**2.
900*sqrt(17) + 137721
Simplify ((sqrt(117) + (sqrt(117) - (sqrt(117) - sqrt(117)*-3)*1))/(sqrt(324)*1)*-3)**2*6.
78
Simplify (3 + -3 + sqrt(833)*3 + sqrt(833) + -5)**2.
-280*sqrt(17) + 13353
Simplify 5 + (sqrt(512)*-2)/(sqrt(144)*6).
-4*sqrt(2)/9 + 5
Simplify 5 + (1*(sqrt(1377)*-2 - sqrt(1377))*3 + 3)**2.
-486*sqrt(17) + 111551
Simplify ((sqrt(931)*1*-4 - sqrt(931))*2 - (-3 + (sqrt(931)*2 - sqrt(931)))*-3)**2.
882*sqrt(19) + 45700
Simplify ((sqrt(1053) + -2*sqrt(1053) - sqrt(1053))*-4 + -2)**2*6 + -2.
-1728*sqrt(13) + 404374
Simplify -5*(sqrt(40)/(sqrt(10)/sqrt(2)))/(-1*sqrt(196)).
5*sqrt(2)/7
Simplify 1*-2*((1 + sqrt(147))*-4)**2*-5.
2240*sqrt(3) + 23680
Simplify (((sqrt(684) - (sqrt(684) + 1)) + sqrt(76)/sqrt(36))**2 + (sqrt(57)/(-2*sqrt(147) + sqrt(147)))**2)*-6.
-3086/147 + 4*sqrt(19)
Simplify -1*(-2*-1*sqrt(190)*3)/(1*(sqrt(240)/sqrt(4))/sqrt(6)).
-6*sqrt(19)
Simplify ((4*sqrt(495)*2)/(sqrt(11) + (-2*sqrt(66))/sqrt(6) - (sqrt(44)/sqrt(2) + sqrt(22))/sqrt(2)))**2.
320
Simplify ((sqrt(300) - (4 + sqrt(300)*-2 + sqrt(300) - sqrt(300))) + 2)**2 - (-6*(sqrt(300) + 0) + -5*(0 + sqrt(300)))**2.
-33596 - 120*sqrt(3)
Simplify ((3*-1*sqrt(567) + sqrt(567) - 3*(sqrt(567) + -1)) + -3 + (sqrt(567) + 1 + 4 - sqrt(567)))**2.
-450*sqrt(7) + 14200
Simplify (5 + (sqrt(180) - (-4 + -1 + sqrt(180)) - sqrt(180)) + 3 + 0)**2.
-156*sqrt(5) + 349
Simplify -2*(4 + (3*sqrt(605)*-5 + sqrt(605) - (sqrt(605) - (2*sqrt(605) + -5))))**2.
-204492 - 572*sqrt(5)
Simplify -5*((1 + 1 + sqrt(147) - sqrt(147)) + 3*(sqrt(147) + 1) + -5)**2*3.
-19845
Simplify sqrt(110)/(sqrt(10) + sqrt(160)) - (sqrt(55)/(sqrt(5) + (sqrt(5) - sqrt(50)/(sqrt(90)/sqrt(9)))))**2.
-11 + sqrt(11)/5
Simplify -3 + sqrt(2448) + -2 - (-4*(-2 + sqrt(2448)))**2.
-39237 + 780*sqrt(17)
Simplify (-2 + sqrt(68)*-1)**2 + -2 + 2.
8*sqrt(17) + 72
Simplify 1*(-2 + 1 + sqrt(17) + sqrt(17)) + 3*(sqrt(1700)*-2 + sqrt(1700))**2.
2*sqrt(17) + 5099
Simplify -1*(sqrt(147) + 2)**2*3 + (sqrt(147) + -2 + 5 + sqrt(147))*-3.
-462 - 126*sqrt(3)
Simplify ((2 + sqrt(847))**2 + sqrt(847) + -1 + -5)*-5.
-4225 - 275*sqrt(7)
Simplify (3 + -3*(-1 + (sqrt(80) - sqrt(80)*-1)) + 5 + 3)**2.
-672*sqrt(5) + 3076
Simplify (sqrt(171) - 2*sqrt(171)*4 - (sqrt(171) + 1*1*sqrt(171) + sqrt(171)))/(sqrt(729)*1 - -3*(sqrt(144) + sqrt(9))).
-5*sqrt(19)/12
Simplify 2*(6*sqrt(17)*-1)**2 + 3 + sqrt(17) + sqrt(17)*2*-3.
-5*sqrt(17) + 1227
Simplify ((sqrt(104) - -2*sqrt(104)*1 - sqrt(104)) + sqrt(104))/(sqrt(96)/(sqrt(12) + sqrt(24)/sqrt(2))) + (-2*-1*sqrt(78))/(sqrt(18)/(sqrt(3)*1)).
8*sqrt(13)
Simplify (-1*(-1 + sqrt(162) + (sqrt(162) - (sqrt(162) + -3)) + 4 + 5)*5)**2.
4950*sqrt(2) + 7075
Simplify 3 + (sqrt(684) + 3 - ((sqrt(76))**2 + -5)) + -5.
-70 + 6*sqrt(19)
Simplify 0 + -1*((0 + sqrt(1539))*-3 - (6*sqrt(1539)*2 - sqrt(1539))**2).
27*sqrt(19) + 186219
Simplify 5 + (-3 + sqrt(2448) + -3 - ((3 + sqrt(2448) - sqrt(2448)) + -5)).
1 + 12*sqrt(17)
Simplify ((1*sqrt(198) + sqrt(198))/sqrt(11))/(-2*(sqrt(36) - sqrt(9))) - (5 + -6*(sqrt(2) + sqrt(18) + 1)).
1 + 23*sqrt(2)
Simplify (-2 + 3*( | {
"pile_set_name": "DM Mathematics"
} |
60)/((-20)/(-4)))/(-1) and k.
60
Let l = -27 + 39. Calculate the least common multiple of 20 and l.
60
Let x be 4 - 9 - (-1 + 1). Let j = x - -6. What is the least common multiple of 1 and j?
1
Let c be (-50)/(-30) + (-2)/(-6). Suppose -3*m + 150 = 2*m. What is the lowest common multiple of (264/m)/(c/5) and 4?
44
Let s be 18/(0 - 2/(-3)). Let x = -18 + s. What is the least common multiple of x and 11?
99
Suppose 2*g - 4*s + 32 = 0, 5*g + 15 = -6*s + 3*s. Let d = 7 + g. Calculate the lowest common multiple of 3 and d.
3
Let s be (-3)/(9/6) + 7. Let z(r) = r**3 - 4*r**2 - 4*r + 1. What is the smallest common multiple of z(s) and 16?
48
Suppose -55*r + 51*r = -20. Calculate the least common multiple of 88 and r.
440
Let y = 2097/6220 + 4/311. Calculate the common denominator of y and 93/32.
160
Let r(w) = 2 - 2 + 0*w + 4 - w. Calculate the lowest common multiple of 1 and r(-4).
8
Suppose -z + 67 = 3*i, -2*i - 110 = -3*z + z. Suppose -z = -4*t + t - 5*c, 0 = c - 2. Calculate the lowest common multiple of t and 14.
112
Let p = -7 + 9. Suppose l - p = 1, -3*l = u - 14. Calculate the least common multiple of 10 and u.
10
Let u = -11446 + 160315/14. Find the common denominator of (2/24)/((-8)/306) and u.
112
Suppose -3*h + 5*x + 27 = -h, h - 15 = 4*x. Calculate the smallest common multiple of 8 and h.
88
Let x = 57 + -29. Let l be 256/(-14) + 8/x. Calculate the least common multiple of 6 and (-2)/(-9) - 140/l.
24
Let t = -11 - -28. What is the common denominator of (-2)/(-4)*t + -1 and 101/8?
8
Let u = 7/55168850 - 59116182222/7916729975. Let i = -36/205 + u. Calculate the common denominator of 97/20 and i.
140
Suppose -27*b = -34*b + 196. What is the least common multiple of b and 36?
252
Suppose 5*w + 10 = 3*k, k + 2*w = 4*w + 4. Suppose k = 3*o - o - 14. What is the smallest common multiple of o and 5?
35
Let c(p) = 13*p**2 + p. Let h(v) = -6*v**3 - 3*v**2 + 2*v. Let w be h(2). Calculate the smallest common multiple of c(1) and w/(-10) + (-2)/(-5).
42
What is the common denominator of (-19)/(-44) + 33/44 and 25/4?
44
Let o(s) = 35*s - 9. Let d be o(5). Let j = -641/4 + d. Calculate the common denominator of j and (3 - 2) + (-170)/8.
4
Calculate the common denominator of -97/4 and -2 + 4 - 53/7.
28
Let n = 81041/16 - 5063. Let m be (3/(-18))/(94/(-889)). Let d = m - -392/47. Find the common denominator of d and n.
48
Let j(d) = d. Suppose -2*n + 12 = -4*n. Let m(o) = -o**3 - 6*o**2 - o - 2. Let s be m(n). What is the smallest common multiple of 28 and j(s)?
28
Let k = -273/38 + -851/228. Let t = 613/13 + 8121/26. Let d = t - 327. What is the common denominator of d and k?
12
Let w = -688 + 2769/4. Suppose 2 = 2*n - 0. What is the common denominator of n/((126/88)/(-7)) and w?
36
Let u be -3 + 2 - (-378572)/72. Let z = -5260 + u. What is the common denominator of 85/18 and z?
18
Let z be 3 + -5 + 3*1. Find the common denominator of -61/4 and z/5*26/4.
20
Let j = -8 + 13. Calculate the least common multiple of j and 7.
35
Calculate the common denominator of -46/11 and (54/57)/((-3)/(-8)).
209
Let p be 1 + 3 + -1 + 1. Suppose 4*q + 44 = 5*u - 8, -2*u + 4 = p*q. What is the least common multiple of ((-6 - -3) + -1)*-1 and u?
8
Suppose 4*d - 25 = 15. What is the least common multiple of d and 7?
70
Find the common denominator of 3135/(-22)*(4/(-6) + 1) and -33/20.
20
Suppose -46 + 73 = l. What is the lowest common multiple of l and 18?
54
Let y = 15 + -5. Calculate the least common multiple of 8 and y.
40
Calculate the least common multiple of 10 and 49/6 + -1 + (-1)/6.
70
Let c = -12 - -10. Let s be 0 + c - (-127497)/6120. Let r = s - -1/2040. Calculate the common denominator of r and 53/18.
18
Let i be 2 - 4 - -2*2. What is the least common multiple of 7 and (-9)/(-1*(-1 + i))?
63
Let m(k) = 503*k - 5. Let d be m(11). What is the common denominator of d/240 - 2/10 and -58/5?
30
Find the common denominator of 31/6 and (-4)/14 + (-2158)/(-252).
18
Calculate the common denominator of -65/2 and (-1)/5*(-392)/7.
10
Suppose 0 + 2 = -2*r - 3*p, 2*r = 5*p + 14. Suppose 5*h = -5, 2*s - r*h = -0*s + 8. Calculate the smallest common multiple of 10 and s.
30
Let i = -2/13349 - -387173/347074. What is the common denominator of -53/10 and i?
130
Suppose 5*s - 4*k = 70, 0*s - 2 = s - 4*k. Calculate the smallest common multiple of 8 and s.
72
Suppose 0 = r + 1 - 4. Let q = r - -1. Suppose 0*p - 2*p = -3*z + 6, -2*z + 5*p + q = 0. What is the least common multiple of z and 6?
6
Let v(n) = 8*n - 5. Let u(x) = -17*x + 10. Let z(i) = 4*u(i) + 9*v(i). Let d(f) = f**2 + 6*f + 5. What is the least common multiple of d(-6) and z(4)?
55
Let r = 14/11 + -211/88. Let t = 6391 + -1737. Let i = t - 28003/6. Find the common denominator of i and r.
24
Suppose 0 = -3*s + 26 - 2. Calculate the least common multiple of s and 10.
40
Let x(f) = -f**3 - 11*f**2 + 10*f - 4. What is the lowest common multiple of 22 and x(-12)?
220
Let d(r) = -r**2 + 3. Let f be d(3). What is the least common multiple of 2*(-22)/(f/3) and 18?
198
Find the common denominator of -2/7 and 6*(-2)/44 - 1.
77
Let a be -16*(0 + -5 + 3). Suppose -4*g = -a - 8. What is the least common multiple of g and 1?
10
Find the common denominator of ((404 + -2)/6)/(3*3) and -49/15.
45
Suppose w + 2*w = -2*b - 20, 0 = -2*w + 2*b. Let h(n) = 1899*n - 1. Let g be h(w). Let x = g - -121489/16. Calculate the common denominator of -91/6 and x.
48
Let v = -7 - -11. Suppose -30 = -b - v*b. What is the lowest common multiple of 8 and b?
24
Let h be -1 + 2 + (-77870390)/(-64276). Let g = 4/16069 - h. Let v = g + 1173. What is the common denominator of v and -52/9?
18
Let v = 142556195/14 - 10176857. Let l = v - 5721. Find the common denominator of -43/20 and l.
140
Let k be (-219)/((-1580)/392 - -4). Let f = -128737/18 + k. Calculate the common denominator of f and -63/8.
72
Suppose 4*d - 27 = -3. What is the least common multiple of d and 9?
18
Find the common denominator of 2 - (1617/12)/(-7) and 18/5.
20
Suppose -14*n + 10 = -9*n. What is the least common multiple of 11 and n?
22
Let w be 12/(-2) + (-2)/(-1). What is the common denominator of (-12)/(-9)*(-30)/44 and 1 + w/18 + 0?
99
Let o = 9847 - 58949/6. Find the common denominator of o and 57/14.
42
Let a = 2 - -4. Let k(c) = c**2 - 6*c - 6. Let f be k(a). Find the common denominator of 14/3 and 1/f*(-40)/(-6).
9
Let w = 65926 - 328178/5. Let f = w - 292. Find the common denominator of 77/(-10) - (1 - -2) and f.
10
Let i(r) be the first derivative of 2*r**3/3 + r**2 - r + 1. Calculate the smallest common multiple of i(-3) and 2.
22
Let u = 11417/32 - 357. Calculate the common denominator of u and -27/16.
32
Let g(d) = -d**2 - 6*d + 5. Calculate the least common multiple of 2 and g(-5).
10
Calculate the common denominator of 1 + 2026/(-858) + (-20)/130 and -71/4.
132
Let q(b) = 2*b - 10. Let t be q(11). Suppose -4*i = -4 - 4. What is the smallest common multiple of 16/6 - t/18 and i?
2
Let q = -4 + 2. Let m = q - -8. Suppose a = -3*a + 16. What is the smallest common multiple of m and a?
12
Let x = 8914 + -142569/16. Calculate the common denominator of -31/12 and x.
48
Let s(f) be the second derivative of -f**3/3 + f**2/2 + f. Calculate the least common multiple of s(-3) and 10.
70
Let h = -25713/20 - -1286. Calculate the common denominator of -77/2 and h.
20
Suppose -3*y + 24 = 3*n, 2*n + n - 4 = y. Suppose 5*a - p - y = 0, -a - 4*p + 30 - 8 = 0. What is the smallest common multiple of a and 7?
14
Suppose -3*w - 2*w = -110. Suppose -o + w = o. What is the smallest common multiple of o and 60/27 - (-2)/(-9)?
22
Let t = -623/860 - -115/43. What is the common denominator of t and 69/22?
220
Let x = -1/53 + 276/583. Let p = -1/4030 - -139037/8060. Calculate the common denominator of p and x.
44
Let a(d) = -3*d - 57. Let c be 117/5 + 2/(-5). Suppose -83 = -5*k - c. Calculate the smallest common multiple of k and a(-21).
12
Let l = 31689/16 + -1983. Find the common denominator of l and -71/18.
144
Suppose 0 = -5*j - 15, -3*m + 38 + 46 = -j. Let v = m - 7. What is the least common multiple of v and 20?
20
Let t(c) = c - 5. Let q be t(5). Suppose -2*h - h - 45 = q. Calculate the common denominator of (303/(-6) + 1)/h and -20.
10
Suppose k = 0, u - 2*k = k + 3. Suppose 7 = u*x - 8. C | {
"pile_set_name": "DM Mathematics"
} |
21, -178, -263, -382, -541?
-746
What is next in -210, -418, -626, -834, -1042?
-1250
What is next in -2138, -4276, -6414, -8552, -10690?
-12828
What is next in -11, -31, -51, -71, -91, -111?
-131
What is the next term in -470, -487, -504?
-521
What comes next: 1731, 3461, 5191, 6921?
8651
What comes next: -97, -91, -85?
-79
What is the next term in 2340, 2342, 2344?
2346
What comes next: -1826, -1801, -1738, -1619, -1426?
-1141
What is next in 6, 1, -22, -75, -170, -319, -534?
-827
What comes next: 1699, 1697, 1695, 1693?
1691
What is next in -20530, -20529, -20528, -20527?
-20526
What is the next term in -68, -99, -130, -161, -192?
-223
What is next in 41, 297, 979, 2297, 4461, 7681, 12167, 18129?
25777
What is the next term in -84, -352, -798, -1422, -2224, -3204, -4362?
-5698
What comes next: -80, -198, -348, -524, -720?
-930
What comes next: -13, -15, -17, -19?
-21
What is next in -582, -587, -592, -597, -602?
-607
What is the next term in 153, 288, 423?
558
What comes next: -3, -47, -157, -363, -695, -1183, -1857?
-2747
What is the next term in 48, 63, 78, 93, 108, 123?
138
What is the next term in 161, 164, 177, 206, 257, 336, 449?
602
What is next in 4500, 4501, 4502?
4503
What is next in 31, 10, -11?
-32
What is the next term in 7, -12, -29, -44, -57, -68?
-77
What is the next term in -28, -108, -244, -436, -684, -988, -1348?
-1764
What comes next: 94, 361, 808, 1435, 2242, 3229?
4396
What is next in 36, 169, 390, 699?
1096
What is the next term in 64, 126, 188, 250, 312?
374
What is the next term in -3795, -7585, -11375?
-15165
What is the next term in -11, -13, -17, -23, -31, -41, -53?
-67
What is next in -1858, -1872, -1908, -1978, -2094?
-2268
What comes next: 78, 68, 36, -30, -142, -312, -552, -874?
-1290
What is the next term in 4, -12, -42, -92, -168, -276, -422, -612?
-852
What is the next term in -1763, -3527, -5291?
-7055
What is the next term in -1, -21, -55, -103?
-165
What is the next term in 29, 368, 1307, 3146, 6185?
10724
What is the next term in -78, -42, 30, 150, 330, 582, 918, 1350?
1890
What is the next term in -8, -14, -18, -20?
-20
What is the next term in -32, -138, -314, -560, -876, -1262?
-1718
What is next in 4529, 4523, 4517?
4511
What is next in -268, -1071, -2400, -4249, -6612, -9483, -12856?
-16725
What is the next term in 125, 151, 177?
203
What is next in 45, 74, 105, 138?
173
What is next in 35, 14, -29, -100, -205, -350, -541?
-784
What comes next: 923, 1841, 2759?
3677
What is the next term in -131, -122, -107, -86, -59, -26, 13?
58
What comes next: -34, -42, -54, -70, -90, -114?
-142
What comes next: -126, -264, -412, -576, -762, -976, -1224?
-1512
What is next in -6, -1, 12, 39, 86, 159, 264, 407?
594
What is next in 1333, 2672, 4011, 5350, 6689?
8028
What comes next: -25, -35, -45, -55, -65, -75?
-85
What is next in -33, -38, -55, -90, -149?
-238
What comes next: 127, 110, 83, 46, -1?
-58
What is next in -820, -1641, -2462, -3283, -4104, -4925?
-5746
What is next in -244, -245, -246, -247?
-248
What is next in -27, -54, -83, -114, -147, -182, -219?
-258
What is the next term in -1271, -1269, -1267, -1265?
-1263
What is the next term in 17, 86, 203, 368, 581, 842?
1151
What is next in 47, 33, 11, -19, -57, -103?
-157
What comes next: -5, -36, -125, -302, -597, -1040, -1661, -2490?
-3557
What comes next: -85, -172, -259, -346, -433?
-520
What comes next: 59, 63, 57, 35, -9?
-81
What is next in -27, -44, -61, -78, -95, -112?
-129
What comes next: -42, 26, 92, 156, 218, 278, 336?
392
What is the next term in -1, -10, -17, -22?
-25
What comes next: 173, 353, 533, 713, 893, 1073?
1253
What comes next: 749, 1496, 2243, 2990, 3737, 4484?
5231
What is next in -33, -50, -67, -84, -101, -118?
-135
What is next in -70, -143, -216, -289?
-362
What is next in 18, 31, 58, 105, 178, 283, 426?
613
What is next in -276, -1094, -2458, -4368, -6824?
-9826
What is next in 81, 160, 239, 318, 397?
476
What comes next: -104, -82, -38, 34, 140, 286, 478, 722?
1024
What is the next term in -612, -2456, -5532, -9840, -15380, -22152?
-30156
What comes next: -336, -338, -350, -378, -428, -506, -618, -770?
-968
What is next in 27, 25, 15, -3, -29, -63?
-105
What is next in 113, 111, 109, 107?
105
What comes next: 3168, 3161, 3154, 3147?
3140
What is the next term in 268, 257, 246, 241, 248, 273, 322, 401?
516
What is next in -20, -57, -118, -203, -312?
-445
What is the next term in 100, 399, 890, 1567, 2424, 3455, 4654, 6015?
7532
What is next in 91, 176, 269, 376, 503, 656, 841, 1064?
1331
What comes next: -247, -485, -723?
-961
What comes next: 70, 67, 64, 61, 58?
55
What is next in 105, 384, 847, 1494, 2325, 3340?
4539
What comes next: -443, -446, -459, -488, -539?
-618
What is next in -456, -475, -506, -549, -604, -671?
-750
What comes next: 118, 102, 86?
70
What is the next term in -171, -177, -187, -201, -219, -241?
-267
What is next in -37, -30, -11, 26, 87?
178
What is next in -7, -107, -385, -931, -1835, -3187, -5077, -7595?
-10831
What comes next: 1, -23, -79, -179, -335?
-559
What is next in -2, 34, 94, 178, 286?
418
What comes next: 15, 45, 93, 159, 243, 345?
465
What comes next: 212, 407, 602, 797, 992, 1187?
1382
What comes next: 80, 180, 280, 380?
480
What comes next: -357, -725, -1103, -1497, -1913, -2357, -2835?
-3353
What is next in -93, -189, -285, -381, -477, -573?
-669
What is next in -1, -17, -49, -103, -185, -301, -457, -659?
-913
What is next in -7, -1, 9, 23, 41, 63, 89?
119
What is next in 1647, 1645, 1643?
1641
What is next in -70, -71, -72, -73?
-74
What is the next term in 340, 345, 360, 391, 444, 525, 640?
795
What is the next term in -32, -57, -108, -197, -336, -537?
-812
What is next in 30, 16, -20, -90, -206?
-380
What comes next: 298, 287, 268, 241, 206, 163?
112
What comes next: -380, -385, -392, -401, -412, -425, -440?
-457
What is the next term in 50, 39, 14, -31, -102, -205, -346, -531?
-766
What is next in 12, -13, -46, -87, -136, -193?
-258
What is next in 101, 268, 435?
602
What comes next: -17128, -17126, -17124, -17122, -17120, -17118?
-17116
What is next in 1585, 3137, 4691, 6247, 7805, 9365?
10927
What is next in -311, -308, -305, -302?
-299
What is next in 186, 331, 476, 621, 766?
911
What is the next term in -30, -10, 38, 120, 242, 410, 630?
908
What is next in 588, 1174, 1762, 2352, 2944?
3538
What comes next: 19, 29, 39, 49?
59
What comes next: -114, -229, -344, -459, -574, -689?
-804
What is next in 434, 432, 430, 428?
426
What comes next: 743, 1499, 2255?
3011
What comes next: -427, -843, -1259, -1675, -2091?
-2507
What is the next term in -123, -246, -381, -534, -711, -918?
-1161
What comes next: 8, 10, 12, 14, 16?
18
What comes next: -4, 44, 120, 218, 332, 456?
584
What comes next: -168, -634, -1410, -2496, -3892, -5598?
-7614
What comes next: -30916, -61831, -92746, -123661?
-154576
What is next in 8, 7, 4, -1, -8, -17?
-28
What is the next term in -200, -199, -198, -197, -196, -195?
-194
What is next in -333, -665, -997?
-1329
What is the next term in 157, 285, 413, 541, 669, 797?
925
What is next in 15, 55, 121, 225, 379, 595?
885
What is the next term in 26, 33, 26, -1, -54, -139?
-262
What is the next term in -223, -423, -623, -823, -1023?
-1223
What is next in 47, 80, 113, 146, 179, 212?
245
What comes next: -9, -50, -117, -210, -329, -474?
-645
What is next in 28, 32, 42, 64, 104, 168?
262
What comes next: -18, 13, 66, 141?
238
What is next in -2083, -2080, -2075, -2068, -2059, -2048, -2035?
-2020
What is next in 284, 605, 950, 1331, 1760, 2249, 2810?
3455
What is the next term in -1093, -2190, -3287, -4384, -5481?
-6578
What is next in 39149, 39148, 39147, 39146, 39145, 39144?
39143
What is next in 779, 1558, 2337?
3116
What comes next: -457, -453, -449, -445, -441, -437?
-433
What is the next term in -8570, -8572, -8576, -8582?
-8590
What is next in 1668, 1672, 1678, 1686?
1696
What comes next: -32, 2, 60, 142?
248
What comes next: 3862, 3858, 3852, 3844, 3834, 3822, 3808?
3792
What comes next: -6, -11, -18, -27, -38, -51, -66?
-83
What is next in 34, 34, 36, 40?
46
What comes next: -98, -90, -60, 4, 114, 282, 520?
840
What is the next term in 128, 513, 1154, 2051, 3204, 4613?
6278
What comes next: 74, 73, 72, 71, 70?
69
What comes next: 441, 396, 351, 306, 261 | {
"pile_set_name": "DM Mathematics"
} |
)
Simplify (q**4*q)/(q/(q*q/(q*q**3)*q))*q/(q**(2/21)*q)*(q/q**7)/q assuming q is positive.
q**(-86/21)
Simplify (o**(-1/17))**14*(o/(o/(o/o**(-4/5))))**6 assuming o is positive.
o**(848/85)
Simplify ((k**(-2/21)*k)**(-27))**(10/7) assuming k is positive.
k**(-1710/49)
Simplify (q**(8/3)/(q/q**(4/3)))/((q/q**(-1/7)*q*q)/q*q*q**(4/7)*q) assuming q is positive.
q**(-12/7)
Simplify (((n/(n/(n*(n/n**1)/n)))/n)/n)**(-3)*n**(-16)*n/n**(-1/3)*n assuming n is positive.
n**(-23/3)
Simplify r**(-2/51)*r*r*r**37*r*((r*r/r**26*r*r*r)/r)**(12/17) assuming r is positive.
r**(1246/51)
Simplify v**(2/13)/v*v**(-1/3)*v*(v/(v**4/v))/v**(-25) assuming v is positive.
v**(890/39)
Simplify ((a**(4/3)*a)/(a**(-11)/a))/(a/(a/((a/(a/(a*a**(-2/3)/a)))/a)))**25 assuming a is positive.
a**56
Simplify ((a/((a/(a*((a*a**(-8)*a)/a*a)/a))/a)*a)/a)**35/(a*a*(a**(1/3)/a)/a*a**(-2)) assuming a is positive.
a**(-520/3)
Simplify (((f*f**(1/11)*f)/f**2)/(f**(1/4)/(f*(f*f*f*f*f**(2/5)/f*f)/f)))**(3/5) assuming f is positive.
f**(2799/1100)
Simplify (g**(-4/13)*g)**45*g**(-1/17)/g*g**(-4/5)*g assuming g is positive.
g**(33476/1105)
Simplify ((m/(m/(m/(m*m**(1/4)*m))))/m**(-1/4))/((m/((m/(m*m/(m*m/(m*m**(-11/2))*m*m)))/m))/m**(-7)) assuming m is positive.
m**(-5/2)
Simplify ((w*w/(w**(2/7)/w)*w)/w)**(-4/5)*w**(8/9)*w**10 assuming w is positive.
w**(2746/315)
Simplify (z**(-7)*z**(-2/19)/z*(z/z**(-1/3))**(11/5))**(39/5) assuming z is positive.
z**(-19162/475)
Simplify s*s*s**(-7/5)*s*s*s*(s*s/(s**(-16)*s)*s)/s*((s**(-5)/s)/s*s)**(-22/5) assuming s is positive.
s**47
Simplify (p**(-1/4))**0/(p**7*p**11) assuming p is positive.
p**(-18)
Simplify (((r**(-8)/r)/r**10)/(((r*r**(-1/11))/r)/((r*r*((((r**(-13)/r)/r)/r)/r)/r)/r)))**42 assuming r is positive.
r**(-16590/11)
Simplify (d/(d**0*d))**(-26)*d**(-8)*d/(d/(d**(1/20)*d)*d) assuming d is positive.
d**(-159/20)
Simplify (t**(-3/4)/t**(2/3)*t**(-13/5)*t**7)**(5/8) assuming t is positive.
t**(179/96)
Simplify (((t**(-5)*t)/((t**(-4/3)/t)/t*t))/(t**3*t/(t*(t*t**(-1/4))/t)))**46 assuming t is positive.
t**(-1357/6)
Simplify (g/((g/(g*g*g**(-1/3)))/g))**(6/35)*(g*(g*g/g**(-1/10)*g)/g)/((g/g**(4/13))/g) assuming g is positive.
g**(3517/910)
Simplify (u*u**10)**(-3/44)*u**(-13/2)/(u/(u/u**(-10))) assuming u is positive.
u**(11/4)
Simplify (l**11*l)**(-2)*(l**(-5))**(-4) assuming l is positive.
l**(-4)
Simplify (((w*w/(w/w**(-1))*w*w)**(-26))**(-5))**(-13/6) assuming w is positive.
w**(-1690/3)
Simplify (((u**0)**21)**(-21))**(1/22) assuming u is positive.
1
Simplify ((x*((x/(x/(x*x**0))*x)/x)/x*(x**(-27)*x)/x)**(-28/9))**(1/6) assuming x is positive.
x**(364/27)
Simplify (t**(-3/8)*t*t/t**7*t**7/t*t/t**(-2))**(-22) assuming t is positive.
t**(-319/4)
Simplify (f/f**(2/9))**(2/33)/(f**(-10)/(f*f**(8/3))) assuming f is positive.
f**(4073/297)
Simplify t**(3/7)/(t*t**(-1/19))*t/t**(-2)*t*t**0 assuming t is positive.
t**(463/133)
Simplify ((q/q**(-8/5))/(q**(-7/3)/q))**(-36) assuming q is positive.
q**(-1068/5)
Simplify ((((l**(1/8)/l)/l)/l*l)/l**(2/19)*(l*l**(-1/6))/l*l*l/((l/l**(-2/17))/l))**35 assuming l is positive.
l**(-71785/7752)
Simplify (c/(c/c**(2/19)))/c**11*c**(-15)*c*c*c*c*c**25 assuming c is positive.
c**(59/19)
Simplify (i*i/(i*i**(5/4)/i))**(-46)/(i**(2/27)*i*i)**(2/31) assuming i is positive.
i**(-57977/1674)
Simplify ((o*o/(o*((o/(o/(o/o**(1/7))))/o)/o*o*o*o*o)*o)/o*o*(o*(o*o**(-2/21))/o)/o*(o/o**(-5))/(o/o**(-2/11)))**16 assuming o is positive.
o**(14288/231)
Simplify k**(-2/59)*k**17*k/k**1*k*k*(k*k**(-25)*k)/k assuming k is positive.
k**(-297/59)
Simplify (v**(2/5)*v*v**(20/7)/v)/((v/v**(-26))/(v**(12/11)/v)) assuming v is positive.
v**(-9106/385)
Simplify r**23*r*r/r**(-2/5)*(r/(r/(r*r**(1/8))))/r**(1/4) assuming r is positive.
r**(1051/40)
Simplify ((r**3*r)/r)/(r*r**(-3/5))*(r/(r*(r*(r/r**(-1/3)*r)/r)/r))**39 assuming r is positive.
r**(-247/5)
Simplify (q/q**(1/4))**(12/5)*q**(4/9)/(q*q*q*q**(-10)) assuming q is positive.
q**(416/45)
Simplify ((y**(-7)*y)/(((y**9/y*y)/y)/y))/((y**(-8/7)/y)/(y*y**10)) assuming y is positive.
y**(1/7)
Simplify (t**(-6))**(-1/61)*(t**(-5))**(-1) assuming t is positive.
t**(311/61)
Simplify (f*f*f**7/f*f)**(-20)/((f*f*f**(-11))/f*f**(-15)) assuming f is positive.
f**(-155)
Simplify ((k*k/k**(2/3))/(k*k*k*k**2)*k**(-3)*k*k/(k*((k/k**1)/k)/k*k))**(-24) assuming k is positive.
k**112
Simplify (f**(-6/11)/((((f**(-5)*f)/f)/f)/f))**(5/14) assuming f is positive.
f**(355/154)
Simplify ((((f**(5/6)/f)/f)/f**(-2/15))**(4/25))**(6/11) assuming f is positive.
f**(-124/1375)
Simplify (k*k**(4/13))**11*k**23/(k**(1/2)/k) assuming k is positive.
k**(985/26)
Simplify (n*(n*n**(-10))/n)/n**32*(n**(-2/73)/n)/n*n/n**(6/5) assuming n is positive.
n**(-15778/365)
Simplify ((y/(y*y/((y/y**2)/y)))/(y**(2/29)*y))/((y/(y/(y**11/y*y)))/y**(-5)) assuming y is positive.
y**(-582/29)
Simplify (((a**0*a)**(9/7))**46)**(-5/7) assuming a is positive.
a**(-2070/49)
Simplify ((y*y**(-12))/(y/(y**(-1/7)/y*y*y)))**(2/47) assuming y is positive.
y**(-156/329)
Simplify ((t*t**(-6/11)*t*t**6)/(t**1)**(-11/6))**(2/47) assuming t is positive.
t**(613/1551)
Simplify (d*d**30)/(d/(d/(d/(((d*d**16)/d)/d))))*((d*d**(-14/5)/d*d)/d)/(d**27/d*d) assuming d is positive.
d**(76/5)
Simplify (((v/v**(1/11))/v)/v**(-6)*v/(v/(v*v**(-2/29)))*v*v**(6/7)*v)**(-5/9) assuming v is positive.
v**(-12030/2233)
Simplify (v**(2/5))**(-2/65)*(v*v**(-2/3))/v**7 assuming v is positive.
v**(-6512/975)
Simplify ((b**(-1/2))**(1/93)*b**6/((b*b*b*b**(2/3)*b*b)/b))**(-41) assuming b is positive.
b**(-10127/186)
Simplify (x**(-3)*x)**(-1/15)/((x**(5/6)*x)/(x*x**(-4))) assuming x is positive.
x**(-47/10)
Simplify (h/((h**(-4)*h)/h))/h**(1/19)*h**(-3/16)*h*h*h*(h*h**17)/h assuming h is positive.
h**(7527/304)
Simplify (((j/j**0*j)/(j*j/(j*j**(-1/2)/j*j)))**(-3/25))**(-14) assuming j is positive.
j**(21/25)
Simplify (p**18*p**6)/(p**(1/5)/p**(4/13)) assuming p is positive.
p**(1567/65)
Simplify ((d**(-1)/((d/((d/(d*d**(-3)))/d))/d))/(d/(d/(d/(d/(d/(d*d**(-3/11)*d)*d))))*d**(-1/3)))**(-1) assuming d is positive.
d**(-35/33)
Simplify (b**5/b*b*b**6)/(b**(-6/11)/(b**11*b)) assuming b is positive.
b**(259/11)
Simplify ((h**(-3/2)/h)/h)**(4/5)*h**(1/7)*h**7/h assuming h is positive.
h**(117/35)
Simplify (v/(v**(-8)/v)*v**0)/(v**(1/9)/(v*v/v**(-1/5)*v)) assuming v is positive.
v**(589/45)
Simplify (((q*q**(-4/9))/(q/q**(-1)))**45)**(-1/38) assuming q is positive.
q**(65/38)
Simplify (k*k**(-4/13)*k**(17/5))**(-1) assuming k is positive.
k**(-266/65)
Simplify (d/d**9)**(-27)/(d**(-3/4)*d)**50 assuming d is positive.
d**(407/2)
Simplify (x**24*x*x**(-28)*x*x)/((x**(-2/51)/x)/((x**(-2/39)*x)/x)) assuming x is positive.
x**(-8/663)
Simplify u**(-2/67)*u*u/(u/(u*u/(u*u/(u*u/u**21)*u)))*u**30*u*u/u**(-3/8) assuming u is positive.
u**(7153/536)
Simplify z**(4/17)*(z/z**(-5/11))/z*((z*z*z**(-6)/z*z)/z)**(-26) assuming z is positive.
z**(24439/187)
Simplify (u/(u*u/(u/(u*(u/u**(-7))/u))))/(u*u**(-5/8))*(u**(-1/16))**(30/7) assuming u is positive.
u**(-121/14)
Simplify (s**(-22/3)/s*s*s**(-17))/(s*s**(-4/11)*s/s**(-5/8)) assuming s is positive.
s**(-7021/264)
Simplify z**16/z**(-3)*(z**(-5)/z)**(-1/23) assuming z is positive.
z**(443/23)
Simplify (c**(-2/5)/c**(-3)*c**(-2/3)/(c/(c/(c/(c/(c/(c*c*c**3/c)))))))**(-17/5) assuming c is positive.
c**(-1258/75)
Simplify f*f*f*(f*f/((f*f**(-12))/f))/f*f*f*f*(f*f**(-5))/f*f*f*(f/f**(2/3))**(-1/17) assuming f is positive.
f**(815/51)
Simplify (((z/(z/(z*z**(-3/7)))*z*z)/z*(z**(1/2)*z*z)/z)/(z**(-4)/z**(1/6)))**50 assuming z is positive.
z**(7600/21)
Simplify (w**(-4/5))**(4/31)/(w**8*w*w*w/(w*w**(2/17)/w)) assuming w is positive.
w**(-28947/2635)
Simplify (((a*a*a**7)**(-20))**(-2/141))**(-7/9) assuming a is positive.
a**(-280/141)
Simplify ((p**(-4/9)*p**(2/21)/p)/(p**1/p)**(-22))**21 assuming p is positive.
p**(-85/3)
Simplify (q**3*q/(q**3/q))/(q**11*q**0/q) assuming q is positive.
q**(-8)
Simplify (x*x**(2/3)*x/x**(-1)*((x/x**1)/x)**(-15))**(-5) assuming x is positive.
x**(-280/3)
Simplify (((b/(b/(b/(b/(b**2*b)))))/b*b)**(5/3)/(b**(-1/2)*b/b**(-1/5)))**(-50) assuming b is positive.
b**(-215)
Simplify (((r**(-1/3))**42)**(2/23))**(-38) assuming r is positive.
r**(1064/23)
Simplify (d**(-4/25)/(d**(1/2)/d))**(-1/51) assuming d is posi | {
"pile_set_name": "DM Mathematics"
} |
-144*sqrt(2) + 1161
Simplify ((sqrt(75) + -1)*1 + -2)*3.
-9 + 15*sqrt(3)
Simplify (sqrt(616)/(sqrt(33)/sqrt(3)))/(sqrt(200)*6).
sqrt(7)/30
Simplify (sqrt(363))**2 + -1 + -5*sqrt(6)/sqrt(2).
-5*sqrt(3) + 362
Simplify sqrt(80)/sqrt(4)*-1.
-2*sqrt(5)
Simplify (-5*(4 + sqrt(19)) - 5*sqrt(57)/sqrt(3))**2.
400*sqrt(19) + 2300
Simplify (sqrt(6) + sqrt(42)/sqrt(7) + sqrt(6))/sqrt(2) + (sqrt(108))**2*-2.
-216 + 3*sqrt(3)
Simplify (sqrt(175)*2)**2 + -2*sqrt(175).
-10*sqrt(7) + 700
Simplify ((1 + 1 + sqrt(363))*-2)**2 + 4.
176*sqrt(3) + 1472
Simplify (4*(sqrt(171) + -1*sqrt(171)))/sqrt(9).
0
Simplify sqrt(20)/(3*sqrt(10)) - (sqrt(56) - sqrt(14))/sqrt(7).
-2*sqrt(2)/3
Simplify (sqrt(19) - (sqrt(57)/sqrt(3) - sqrt(19))**2)*-6 + 0.
-6*sqrt(19)
Simplify -5*((sqrt(192) + (-4*sqrt(192) - sqrt(192)))**2 + sqrt(192)).
-15360 - 40*sqrt(3)
Simplify (sqrt(432)/sqrt(9))/sqrt(4)*-3.
-6*sqrt(3)
Simplify -5*(-4 + sqrt(3)) - (sqrt(27) + -4).
-8*sqrt(3) + 24
Simplify ((sqrt(396)*-2 + sqrt(396))*-4 + sqrt(396))/sqrt(9)*-5.
-50*sqrt(11)
Simplify (sqrt(12)/(sqrt(36)*-5))**2.
1/75
Simplify 3*((sqrt(18)/sqrt(2))/sqrt(3) - (sqrt(9)/sqrt(3))**2*4).
-36 + 3*sqrt(3)
Simplify 2 + (sqrt(75))**2 - 6*1*sqrt(3).
-6*sqrt(3) + 77
Simplify (sqrt(16)*-1*2)/(sqrt(8) - (sqrt(8) + -6*-1*sqrt(8)))*4.
4*sqrt(2)/3
Simplify (sqrt(60)/sqrt(40))/sqrt(3).
sqrt(2)/2
Simplify ((sqrt(5) - sqrt(20)/sqrt(4) - sqrt(5))*-2)**2 - sqrt(20)*-5.
20 + 10*sqrt(5)
Simplify 4*(3 + sqrt(133)/sqrt(7) + sqrt(19)).
12 + 8*sqrt(19)
Simplify ((sqrt(720) + -1 + sqrt(720))*-5)**2 + sqrt(720) + 3 + sqrt(720)*-1.
-1200*sqrt(5) + 72028
Simplify ((sqrt(684) + sqrt(684)*1)*3 - sqrt(684))**2.
17100
Simplify sqrt(17) + (sqrt(272) + 0)**2 + (sqrt(425) + 3)**2.
31*sqrt(17) + 706
Simplify (-5 + sqrt(2057)*2 + -4 + sqrt(2057))**2.
-594*sqrt(17) + 18594
Simplify (sqrt(68) + 6*(1*sqrt(68) + sqrt(68) - sqrt(68)))/(sqrt(28)/(sqrt(7)*-1) - sqrt(4)).
-7*sqrt(17)/2
Simplify (sqrt(240) - 6*sqrt(240)*2)/sqrt(5) + 4.
-44*sqrt(3) + 4
Simplify -2 + (sqrt(160)/sqrt(72))/(sqrt(400) + (sqrt(400) - -2*sqrt(400))).
-2 + sqrt(5)/120
Simplify 1*sqrt(7)*2*-6.
-12*sqrt(7)
Simplify (sqrt(2299) - (sqrt(2299) - -5*sqrt(2299)*1) - sqrt(2299) - sqrt(2299))**2 - sqrt(2299).
-11*sqrt(19) + 112651
Simplify ((sqrt(605) + 0 + sqrt(605))*1)**2 + (-5*(-1 + sqrt(605) + sqrt(605)) + sqrt(605))**2.
-990*sqrt(5) + 51450
Simplify (3*sqrt(88) - sqrt(88))/sqrt(8) + sqrt(495)/sqrt(5).
5*sqrt(11)
Simplify ((-3*sqrt(288))/sqrt(12))/sqrt(8).
-3*sqrt(3)
Simplify (-1*(sqrt(44) + -1))**2 + -5.
-4*sqrt(11) + 40
Simplify 0 + sqrt(10)/((((sqrt(200)/sqrt(4) - sqrt(50)) + sqrt(50) - sqrt(50)) + sqrt(50))/sqrt(10)).
sqrt(2)
Simplify (-4*sqrt(27)/sqrt(3))/(sqrt(3) - sqrt(162)/sqrt(6)).
2*sqrt(3)
Simplify (5*(sqrt(432) + -1)*2 + 2)**2.
-1920*sqrt(3) + 43264
Simplify (sqrt(1584)*1 - (sqrt(132) + sqrt(132)*-1)/sqrt(12))**2.
1584
Simplify -1*(sqrt(17) + (sqrt(136)/sqrt(128))**2).
-sqrt(17) - 17/16
Simplify -5 + (sqrt(272))**2 + 5*sqrt(17)*-2.
-10*sqrt(17) + 267
Simplify sqrt(1008) + sqrt(1008)*3 + 5 + 3.
8 + 48*sqrt(7)
Simplify (-3*sqrt(108) - sqrt(108))*1.
-24*sqrt(3)
Simplify sqrt(245) + (sqrt(245) - (sqrt(245) + 2 + sqrt(245))**2) + -4 + sqrt(245).
-988 - 35*sqrt(5)
Simplify 5*(3*(0 + sqrt(475)) - (0 + sqrt(475)*1)**2).
-2375 + 75*sqrt(19)
Simplify ((-6*sqrt(88)*2)/(sqrt(968) - (-2*sqrt(968) + sqrt(968)) - sqrt(8)))**2.
176/49
Simplify (sqrt(114)/sqrt(150) + (-4*sqrt(76) - sqrt(19)))**2.
36784/25
Simplify 3*((sqrt(171) + -1)*-6)**2.
-648*sqrt(19) + 18576
Simplify (sqrt(52)/(sqrt(28)/sqrt(7)) - (sqrt(325) + (sqrt(325)*2 - sqrt(325)) + sqrt(13)))**2 + 1.
1301
Simplify ((sqrt(85) - 1*sqrt(85))*2)/(sqrt(5) - (-4*(sqrt(5) - sqrt(20)) - sqrt(5))).
0
Simplify 2 + (1 + sqrt(19))**2 + 4 + 5 + 0.
2*sqrt(19) + 31
Simplify (6*(sqrt(45) + 1)*5)**2.
5400*sqrt(5) + 41400
Simplify 5 + (4*sqrt(77)*2)/((2*sqrt(77))/sqrt(11)).
5 + 4*sqrt(11)
Simplify (sqrt(21) - sqrt(84)/sqrt(4)*5)/((-1*sqrt(12))/sqrt(4)).
4*sqrt(7)
Simplify ((4 + sqrt(153) + 0 + 5)*-5)**2.
1350*sqrt(17) + 5850
Simplify sqrt(80)*1 + 1.
1 + 4*sqrt(5)
Simplify (-5*sqrt(91)*3)/sqrt(7).
-15*sqrt(13)
Simplify (sqrt(448) - (sqrt(448) + (2 + sqrt(448))**2 + -5)) + -4.
-451 - 32*sqrt(7)
Simplify (sqrt(25) - sqrt(900)*-4)/sqrt(5).
25*sqrt(5)
Simplify (((sqrt(160) - -3*sqrt(160))/sqrt(8))/(1*sqrt(324) + sqrt(324)))**2.
20/81
Simplify ((sqrt(216) - (sqrt(216) + sqrt(216)*-3)) + sqrt(216) - sqrt(216) - sqrt(6))/(sqrt(98)*-3).
-17*sqrt(3)/21
Simplify -1*(sqrt(9)/sqrt(12) - (sqrt(9)/sqrt(3) + -3)**2).
-13*sqrt(3)/2 + 12
Simplify ((sqrt(153)/(-2*sqrt(9)) - sqrt(17)) + (sqrt(17) - sqrt(17)*-2) + 4)**2.
12*sqrt(17) + 217/4
Simplify 4*(0 + (sqrt(2)*-2 + 5)**2 + sqrt(2)).
-76*sqrt(2) + 132
Simplify (sqrt(7200)*-1)/(-1*sqrt(810)).
4*sqrt(5)/3
Simplify (sqrt(44)/(2*sqrt(2)) - sqrt(22))/((-1*sqrt(77))/sqrt(7)).
sqrt(2)/2
Simplify sqrt(3) + ((sqrt(63)/sqrt(3))/sqrt(7))**2 - (sqrt(75)*2)**2.
-297 + sqrt(3)
Simplify -4*(4 + -4 + sqrt(17))**2.
-68
Simplify sqrt(33)/sqrt(3)*-2 + (-1*sqrt(33)/sqrt(3))**2.
-2*sqrt(11) + 11
Simplify ((sqrt(7) + sqrt(21)/(sqrt(3)*-2))*-4)**2*-1.
-28
Simplify sqrt(38)/(sqrt(8)/(sqrt(256) + sqrt(4))).
9*sqrt(19)
Simplify (2 + 4 + -1*sqrt(539))**2.
-84*sqrt(11) + 575
Simplify ((sqrt(700) - (1 + sqrt(700) + sqrt(700) + 0)) + 1 + sqrt(700) + -5)**2.
25
Simplify (sqrt(156)/sqrt(3) - sqrt(13)) + -1 + -1.
-2 + sqrt(13)
Simplify ((-3 + sqrt(1539))*5)**2.
-1350*sqrt(19) + 38700
Simplify (-4*sqrt(77)*2 + sqrt(77) + sqrt(77))/sqrt(11).
-6*sqrt(7)
Simplify sqrt(55)/(sqrt(11) - (sqrt(11) + sqrt(55)/sqrt(5))*-2).
sqrt(5)/5
Simplify (1*(-2 + sqrt(4)/(sqrt(2)*-2)))**2.
2*sqrt(2) + 9/2
Simplify ((0 + sqrt(125))*3)**2.
1125
Simplify (-1*(sqrt(396)*-2)**2 + (-1*sqrt(396) + -2 - sqrt(396))**2)*5.
20 + 240*sqrt(11)
Simplify -1*(sqrt(2) - (5 + sqrt(2)*-5)).
-6*sqrt(2) + 5
Simplify (-2*sqrt(968) + sqrt(968) + sqrt(968))*-1.
0
Simplify 1 + sqrt(5)*1 - (sqrt(15)/sqrt(3) + 5)**2.
-29 - 9*sqrt(5)
Simplify (sqrt(42)/(sqrt(6)*1)*2 + -3*2*(sqrt(7) + -1))**2.
-48*sqrt(7) + 148
Simplify (-4 + sqrt(325)*-2)**2.
80*sqrt(13) + 1316
Simplify -3 + sqrt(637) + sqrt(637) - (sqrt(637) - (sqrt(637) + -2))**2.
-7 + 14*sqrt(13)
Simplify (sqrt(720)*1)**2 + 4.
724
Simplify (sqrt(3400) + (sqrt(3400) + -4*sqrt(3400) - sqrt(3400)) + sqrt(3400) + sqrt(3400))/sqrt(2).
-10*sqrt(17)
Simplify -3 + sqrt(325)*-1.
-5*sqrt(13) - 3
Simplify -5*(sqrt(5) - (sqrt(50)/sqrt(40))**2).
-5*sqrt(5) + 25/4
Simplify (2 + (sqrt(1100) + sqrt(1100)*-1 + -2)*4)**2.
36
Simplify 3*(5 + (-3 + sqrt(3))**2*2).
-36*sqrt(3) + 87
Simplify 4 + (-3*(1*sqrt(171) - sqrt(171)))/sqrt(9).
4
Simplify ((sqrt(1900) - 1*sqrt(1900)) + -4)**2.
16
Simplify ((sqrt(52) - sqrt(208))*-4)/((sqrt(12) - sqrt(108))/sqrt(3)) + 0.
-2*sqrt(13)
Simplify (-2*sqrt(70)/sqrt(40))**2*-1.
-7
Simplify (-2*(2*sqrt(228) - sqrt(228)))/(sqrt(144)/(sqrt(36)/sqrt(3))).
-2*sqrt(19)
Simplify 1*6*-2*sqrt(5)*-6.
72*sqrt(5)
Simplify (1 + -3*sqrt(7) + sqrt(7))**2 - (-1*sqrt(1008) + sqrt(1008))**2.
-4*sqrt(7) + 29
Simplify 4 + sqrt(243)*2 + sqrt(243).
4 + 27*sqrt(3)
Simplify (-6*((sqrt(1100) + (2 + sqrt(1100) + 0 - sqrt(1100)) - sqrt(1100)) + sqrt(1100) + 1 + 0))**2.
2160*sqrt(11) + 39924
Simplify ((sqrt(11) - (sqrt(11) - sqrt(44)))*6 + (4*sqrt(77))/sqrt(7))**2.
2816
Simplify (4 + sqrt(704) + 3)**2.
112*sqrt(11) + 753
Simplify (4*-3*sqrt(684)*2)**2.
393984
Simplify (5*((sqrt(114)*2 - sqrt(114)) + sqrt(114)))/(sqrt(60)/sqrt(40)).
20*sqrt(19)
Simplify -1*(sqrt(13) - (sqrt(65)/sqrt(20))**2 - (-2 + sqrt(52))).
5/4 + sqrt(13)
Simplify -3*sqrt(475) - sqrt(209)/(sqrt(77)/sqrt(7)).
-16*sqrt(19)
Simplify (sqrt(7) - (sqrt(7) - (4 + 2 + sqrt(7))**2))*-5.
-215 - 60*sqrt(7)
Simplify (sqrt(140)/(sqrt(35)/sqrt(7)))/(sqrt(44)/(sqrt(11)*-2)).
-2*sqrt(7)
Simplify (2 + sqrt(176) + -5)**2.
-24*sqrt(11) + 185
Simplify ((sqrt(170)*-2*5)/(sqrt(1440) - (sqrt(1440) - (2*sqrt(1440) - sqrt(1440)))))**2.
425/36
Simplify (-1 + -1 + -1*sqrt(162) + -1 + (sqrt(162) - (sqrt(162) + 0 + sqrt(162) + sqrt(162) - sqrt(162)) - sqrt(162)))**2.
162*sqrt(2) + 1467
Simplify (-3 + sqrt(7) + 2 - sqrt(315)/sqrt(5))**2.
4*sqrt(7) + 29
Simplify (((sqrt(264)*3 - sqrt(264) - sqrt(264))/sqrt(11))/(-3*sqrt(8)*-3))**2.
1/27
Simplify (sqrt(105)/(sqrt(10)/sqrt(2)))/(3*-2*sqrt(7)).
-sqrt(3)/6
Simplify sqrt(17 | {
"pile_set_name": "DM Mathematics"
} |
3*h + 196 = -0, -h = -v + 38. Let u = v - 14. Let j = 148 - 68. What is the remainder when j is divided by u?
26
Let s = -12 - -77. Let i(j) = -2*j**2 - 28 - s*j + 51*j + j**2 + 0*j**2. Calculate the remainder when 50 is divided by i(-9).
16
Suppose 3*k + 6*j - 59 = 4*j, 0 = -4*k + j + 97. What is the remainder when 608 is divided by k?
10
Suppose -4*z - 129 = -3*t, 6*t + 93 = 8*t - 5*z. Suppose -3*m - t = -6*m. What is the remainder when 35 is divided by m?
9
Let n = 382 + -222. What is the remainder when n is divided by (-868)/(-32) - ((-225)/(-72))/25?
25
Suppose 24*m - 8944 = -19*m. What is the remainder when m is divided by 5?
3
Calculate the remainder when ((-9)/6)/(98/(-4704)) is divided by (2 + 0 - 1) + 2 + 17.
12
Suppose -39*i - 127*i + 17430 = 0. What is the remainder when i is divided by 48?
9
Let j(p) = p**3 + 18*p**2 + 19*p + 36. Let g be j(-17). Let c be (-80)/(-15)*18/g. Suppose 0 = b - 3*b + c. What is the remainder when 118 is divided by b?
22
Suppose 5*h = 290 - 175. Let n = h + 29. Calculate the remainder when 103 is divided by n.
51
Suppose 0 = -5*m + 217 + 3. Suppose 3*b = 3, -2*u + 0*b = -b - 523. Calculate the remainder when u is divided by m.
42
Let q(h) = -1810*h + 32611. Suppose -4*x = -r - 8, 3*r + 0*x = -5*x - 24. Let t(g) = -g. Calculate the remainder when q(18) is divided by t(r).
7
Let t = 420 - 420. Suppose 0 = -0*o + 5*o + 2*y - 175, t = 3*y. What is the remainder when 382 is divided by o?
32
Let s be (-18)/30 - 1156/(-10). Let f(t) = -11*t + 202. Let a be f(18). Suppose a*b = 3*b + s. What is the remainder when b is divided by 13?
11
Let r = -1998 - -2192. Calculate the remainder when r is divided by 57.
23
Let r(v) be the first derivative of v**4/2 + 2*v**3/3 - 3*v**2 + 3*v - 200. Suppose 0 = -6*t + t + 270. What is the remainder when t is divided by r(2)?
9
Suppose -5*t + 0*c = 4*c + 48, 2*t - 2*c = -12. Suppose 4*p = 7*p + 6. Calculate the remainder when ((-4)/t)/(p/(-792)) is divided by 50.
48
Suppose -24*i = -22*i + 3*q - 92, 0 = 3*i + 2*q - 128. Calculate the remainder when 1130 is divided by i.
10
Let f(h) = 338*h - 1673. What is the remainder when 1660 is divided by f(5)?
11
Let a = 116 + -83. What is the remainder when (-72738)/(-1458) - (-4)/36 is divided by a?
17
Suppose 0*b + b + 5*n = -18, -b - 48 = -n. Let c = b + 41. Let l = c - -5. What is the remainder when 16 is divided by l?
1
Let r(y) = 149*y + 138. What is the remainder when 253 is divided by r(0)?
115
Let w(g) = -31*g + 0*g**3 - 16*g**2 + 5*g**3 - 4*g**3 - 5*g**2 + 16*g**2 + 11. What is the remainder when 83 is divided by w(9)?
27
Let j be 66/88 + 2/8. What is the remainder when 262 is divided by ((-66)/2)/(j + 10/(-5))?
31
Let a = 27 + -11. Let i(u) = 28*u + 93. Let m be i(8). Suppose m = 5*s + 92. What is the remainder when s is divided by a?
13
Let f(g) = -g - 14. Let r(t) = -t**3 - 5*t**2 - 2*t. Let y be r(-2). Let m be f(y). Calculate the remainder when 35 is divided by -8*2/m*18/4.
11
Let y(s) be the first derivative of s**4/4 - 5*s**3/3 - 9*s**2 - 10*s + 149. What is the remainder when 45 is divided by y(8)?
7
Let f be 8/132*-3 - (-706)/11. Suppose -4*y - h + 140 = 0, -2*h = 2*y - 3*h - f. What is the remainder when 99 is divided by y?
31
Let w(t) = -t**3 - 4*t**2 + 22*t - 3. Let z be w(-7). Calculate the remainder when 44 is divided by 30/(-4 - z - 4).
14
Let c(u) = u**2 - 16*u + 52. What is the remainder when c(17) is divided by 22?
3
Suppose 4*m + 5*v = 12, 8*v - 15 = -5*m + 5*v. Let c be ((-22)/77)/(3702/(-1848) + 2). What is the remainder when ((-12)/(-8))/(m/c) is divided by 23?
21
Let j = 8126 - 8121. What is the remainder when -1 + 2 + 9 + -4 is divided by j?
1
Let x be 2/(-2 - -3) + 2. Suppose 7*y - 12 = x*y. Calculate the remainder when 117 is divided by 95/y + 1/4.
21
Let b = 6859 - 6197. Calculate the remainder when b is divided by 35.
32
Let s = -1336041 - -1336128. Let x = -122 + 179. What is the remainder when s is divided by x?
30
Suppose -2*z = -6, 0 = 2*h + h - 2*z - 450. Calculate the remainder when 586 is divided by h.
130
Let h = -179 - -163. Calculate the remainder when 267 is divided by h/40 + (-152)/(-5).
27
Let l(u) = u**2 - 6*u. Let x be l(12). Suppose -112 = -2*f + x. What is the remainder when f is divided by ((-4)/(-2))/(2/31)?
30
Let a = -75 - -77. Suppose 4*t + 4*c - 24 - 16 = 0, 2*c = 2*t. Suppose 2*o - 3 - 1 = 0, 2*s + t*o - 26 = 0. What is the remainder when s is divided by a?
0
Suppose -4*r + 14 = -6*r. Let y = 0 - r. What is the remainder when (-574)/(-28) - (0 - 1/(-2)) is divided by y?
6
Let f be ((2/(-5))/((-24)/1080))/2. Suppose m - 9 = -o, -13*o = -f*o + 20. What is the remainder when 80 is divided by m?
10
Let l(j) = -j - 14. Let p be l(-18). Let s = p + 6. What is the remainder when 129 is divided by s?
9
Let n(q) = 5*q**3 + 103*q**2 - 36*q + 50. What is the remainder when n(-17) is divided by 69?
68
Let r(y) = -y**3 - 24*y**2 + 13*y - 122. What is the remainder when r(-25) is divided by 6/(-9) - (-96)/9?
8
Suppose -m + 244 = 241. What is the remainder when 117 is divided by m?
0
Let f(a) = 3*a**2 + 37*a - 26. Let r be f(-13). Calculate the remainder when 555 is divided by r - (1/(-3))/((-9)/(-837)).
28
Let s = -448 + 468. Let a = 7 - 3. Suppose 0 = -2*q + 8, 3*o + a*q - 46 = -6. Calculate the remainder when s is divided by o.
4
Let q = -39 - -54. Suppose w - q = -0*w. Suppose -4*t - 3*v = -162, 17 = -3*v + 11. Calculate the remainder when t is divided by w.
12
Calculate the remainder when (0 - -1) + 8272/60 - 52/(-390) is divided by 1/(-2)*0 - -14.
13
Let u = 875 - 849. What is the remainder when 29 is divided by u?
3
Let g = 40 - 36. Let v(n) = -n**3 + 3*n**2 + 10*n - 20. Let f be v(g). Suppose 0 = f*j + 8*j - 84. Calculate the remainder when 55 is divided by j.
6
Suppose 2*m = -2*m - 3*r - 420, m - r + 98 = 0. Let k = 149 + m. Let s = 87 - k. What is the remainder when s is divided by 11?
7
Suppose 4*n = -5*d + 89, 0*d = 2*d - n - 33. Let g(k) = -k**3 - 2*k**2 + 4*k + 8. Calculate the remainder when g(-4) is divided by d.
7
Let g = 48 + -49. Let q be g*(0 + (3 - 6)). Suppose 0 = -k + 3*k - 5*i - 86, 146 = 4*k + q*i. Calculate the remainder when 150 is divided by k.
36
Suppose -77*w = -l - 82*w + 64, 2*w + 6 = 0. Calculate the remainder when 568 is divided by l.
15
Let v(y) = 2*y**2 - 19*y + 63. Let j(k) = -2*k + 55. Calculate the remainder when j(0) is divided by v(4).
17
Let o(i) = -22*i - 34. Let x be o(-17). Let s = 367 - x. What is the remainder when 132 is divided by s?
24
Suppose 67 + 61 = 4*f. Let s(n) = -n**2 + 59*n - 218. Calculate the remainder when s(51) is divided by f.
30
Suppose -2*w - 192 = u, 0*w = 2*w - 5*u + 192. What is the remainder when (0 + w)/(12/(-8)) is divided by 23?
18
Suppose -91*x = 11*x - 180234. Calculate the remainder when x is divided by 52.
51
What is the remainder when 619 is divided by 2/19 - (-118320)/2280?
47
Suppose -24*m = -39*m + 30. Suppose 3*y - 11 = -s + 6, 39 = m*s + y. Calculate the remainder when 31 is divided by s.
11
Calculate the remainder when ((-89)/1)/((1/3)/(262/(-786))) is divided by 30.
29
Let f(g) = 3*g**3 + 6*g**2 - 4*g - 1. Let i be f(1). Suppose -3*w + 13 = i. What is the remainder when 5 is divided by w?
2
Suppose -6 = 2*r, 2*r + 39295 = u - r. Suppose -2524 = -10*i + u. Suppose i = 8*y + 1629. What is the remainder when y is divided by 40?
39
Suppose -2*i + 6 = -2. Let c(z) = 315*z - 21. Let g(x) = -63*x + 4. Let v(w) = i*c(w) + 21*g(w). Calculate the remainder when v(-1) is divided by 13.
11
Suppose -z + 4*i - 12 = -0, -4*z - 4*i = -52. Calculate the remainder when (-4 + -3)/28 - (-2282)/z is divided by 26.
25
Let l(u) = 5*u**2 - 2*u - 3. Suppose -9*y + 4 + 23 = 0. Calculate the remainder when 174 is divided by l(y).
30
Let j(o) = 111*o + 10. Let s be j(3). Let p = -244 + s. What is the remainder when p is divided by 18?
9
Suppose -3774 = -91*f + 14517. What is the remainder when f is divided by 41?
37
Let n = -12109 + 12191. Calculate the remainder when 1639 is divided by n.
81
Let a = -2411 + 2498. Let h = -37 - -52. Calculate the remainder when a is divided by h.
12
Let z(r) = -r**3 - 14*r**2 - 18*r + 1. Let s be z(-13). Let f = 119 - s. Let i(h) = -31*h - 642. Calculate the remainder when f is divided by i(-21).
8
S | {
"pile_set_name": "DM Mathematics"
} |
prime factors of 1846?
2, 13, 71
List the prime factors of 73499.
67, 1097
List the prime factors of 569.
569
List the prime factors of 7790.
2, 5, 19, 41
What are the prime factors of 92254?
2, 193, 239
List the prime factors of 55627.
11, 13, 389
List the prime factors of 611.
13, 47
What are the prime factors of 4507?
4507
List the prime factors of 4.
2
What are the prime factors of 27939?
3, 67, 139
What are the prime factors of 26244?
2, 3
List the prime factors of 1292.
2, 17, 19
List the prime factors of 2836.
2, 709
What are the prime factors of 22235?
5, 4447
List the prime factors of 2694.
2, 3, 449
What are the prime factors of 1182?
2, 3, 197
What are the prime factors of 20082?
2, 3, 3347
What are the prime factors of 29154?
2, 3, 43, 113
List the prime factors of 6633.
3, 11, 67
List the prime factors of 827.
827
List the prime factors of 9135.
3, 5, 7, 29
What are the prime factors of 4641?
3, 7, 13, 17
List the prime factors of 28387.
28387
What are the prime factors of 40?
2, 5
What are the prime factors of 77563?
77563
List the prime factors of 515.
5, 103
List the prime factors of 2810.
2, 5, 281
What are the prime factors of 4512?
2, 3, 47
List the prime factors of 1099.
7, 157
List the prime factors of 73.
73
What are the prime factors of 343?
7
What are the prime factors of 193?
193
What are the prime factors of 825?
3, 5, 11
List the prime factors of 5758.
2, 2879
What are the prime factors of 1969?
11, 179
What are the prime factors of 131014?
2, 13, 5039
List the prime factors of 7387.
83, 89
What are the prime factors of 40043?
23, 1741
What are the prime factors of 30728?
2, 23, 167
List the prime factors of 15382.
2, 7691
What are the prime factors of 13717?
11, 29, 43
What are the prime factors of 3431?
47, 73
What are the prime factors of 27304?
2, 3413
List the prime factors of 3582.
2, 3, 199
What are the prime factors of 2166?
2, 3, 19
List the prime factors of 23639.
7, 11, 307
What are the prime factors of 69256?
2, 11, 787
What are the prime factors of 8492?
2, 11, 193
What are the prime factors of 9228?
2, 3, 769
What are the prime factors of 407?
11, 37
List the prime factors of 1282.
2, 641
List the prime factors of 2.
2
What are the prime factors of 74337?
3, 71, 349
List the prime factors of 7973.
7, 17, 67
What are the prime factors of 393?
3, 131
What are the prime factors of 377?
13, 29
What are the prime factors of 3675?
3, 5, 7
What are the prime factors of 1133?
11, 103
List the prime factors of 81640.
2, 5, 13, 157
What are the prime factors of 1043?
7, 149
List the prime factors of 223.
223
List the prime factors of 8028.
2, 3, 223
What are the prime factors of 2085?
3, 5, 139
What are the prime factors of 43734?
2, 3, 37, 197
What are the prime factors of 579?
3, 193
What are the prime factors of 1398?
2, 3, 233
List the prime factors of 116660.
2, 5, 19, 307
What are the prime factors of 50307?
3, 41, 409
What are the prime factors of 339?
3, 113
What are the prime factors of 111846?
2, 3, 7, 2663
List the prime factors of 5689.
5689
List the prime factors of 1925.
5, 7, 11
What are the prime factors of 1881?
3, 11, 19
What are the prime factors of 21983?
13, 19, 89
What are the prime factors of 664?
2, 83
What are the prime factors of 19331?
13, 1487
List the prime factors of 1146.
2, 3, 191
List the prime factors of 13860.
2, 3, 5, 7, 11
What are the prime factors of 1404?
2, 3, 13
What are the prime factors of 7113?
3, 2371
What are the prime factors of 12310?
2, 5, 1231
List the prime factors of 10061.
10061
What are the prime factors of 1162?
2, 7, 83
List the prime factors of 558.
2, 3, 31
List the prime factors of 259.
7, 37
What are the prime factors of 33121?
11, 3011
List the prime factors of 138474.
2, 3, 7, 157
What are the prime factors of 3879?
3, 431
What are the prime factors of 17537?
13, 19, 71
What are the prime factors of 944?
2, 59
List the prime factors of 8885.
5, 1777
List the prime factors of 8171.
8171
What are the prime factors of 87831?
3, 3253
List the prime factors of 157165.
5, 17, 43
List the prime factors of 18366.
2, 3, 3061
List the prime factors of 10889.
10889
List the prime factors of 28635.
3, 5, 23, 83
List the prime factors of 42.
2, 3, 7
What are the prime factors of 9847?
43, 229
List the prime factors of 7667.
11, 17, 41
List the prime factors of 687.
3, 229
What are the prime factors of 678?
2, 3, 113
List the prime factors of 3887.
13, 23
List the prime factors of 5576.
2, 17, 41
What are the prime factors of 13318?
2, 6659
List the prime factors of 2226.
2, 3, 7, 53
List the prime factors of 53380.
2, 5, 17, 157
List the prime factors of 44405.
5, 83, 107
List the prime factors of 28044.
2, 3, 19, 41
List the prime factors of 165.
3, 5, 11
What are the prime factors of 6227?
13, 479
List the prime factors of 27053.
13, 2081
List the prime factors of 65510.
2, 5, 6551
What are the prime factors of 33603?
3, 23, 487
List the prime factors of 1134.
2, 3, 7
List the prime factors of 31298.
2, 15649
What are the prime factors of 10455?
3, 5, 17, 41
List the prime factors of 5248.
2, 41
List the prime factors of 6992.
2, 19, 23
List the prime factors of 117660.
2, 3, 5, 37, 53
List the prime factors of 8637.
3, 2879
What are the prime factors of 9371?
9371
What are the prime factors of 69298?
2, 34649
What are the prime factors of 79175?
5, 3167
List the prime factors of 8190.
2, 3, 5, 7, 13
What are the prime factors of 44175?
3, 5, 19, 31
What are the prime factors of 26749?
23, 1163
List the prime factors of 5322.
2, 3, 887
List the prime factors of 38334.
2, 3, 6389
What are the prime factors of 1624?
2, 7, 29
List the prime factors of 552.
2, 3, 23
What are the prime factors of 547?
547
List the prime factors of 1729.
7, 13, 19
What are the prime factors of 736?
2, 23
List the prime factors of 1328.
2, 83
List the prime factors of 2598.
2, 3, 433
List the prime factors of 39839.
39839
List the prime factors of 1284.
2, 3, 107
List the prime factors of 135537.
3, 45179
List the prime factors of 7011.
3, 19, 41
What are the prime factors of 62381?
11, 53, 107
What are the prime factors of 4129?
4129
List the prime factors of 55338.
2, 3, 23, 401
List the prime factors of 14978.
2, 7489
List the prime factors of 142.
2, 71
What are the prime factors of 20445?
3, 5, 29, 47
What are the prime factors of 106632?
2, 3, 1481
What are the prime factors of 273?
3, 7, 13
List the prime factors of 41202.
2, 3, 7, 109
List the prime factors of 2096.
2, 131
What are the prime factors of 5861?
5861
List the prime factors of 11895.
3, 5, 13, 61
List the prime factors of 11853.
3, 439
List the prime factors of 12694.
2, 11, 577
List the prime factors of 965.
5, 193
What are the prime factors of 5566?
2, 11, 23
List the prime factors of 9161.
9161
What are the prime factors of 42606?
2, 3, 263
List the prime factors of 3567.
3, 29, 41
What are the prime factors of 3632?
2, 227
What are the prime factors of 52946?
2, 23, 1151
What are the prime factors of 110633?
317, 349
List the prime factors of 925.
5, 37
What are the prime factors of 6913?
31, 223
What are the prime factors of 6635?
5, 1327
What are the prime factors of 923?
13, 71
What are the prime factors of 106131?
3, 17, 2081
What are the prime factors of 656?
2, 41
List the prime factors of 22821.
3, 7607
List the prime factors of 6129.
3, 227
What are the prime factors of 6751?
43, 157
List the prime factors of 103.
103
What are the prime factors of 4424?
2, 7, 79
List the prime factors of 16215.
3, 5, 23, 47
What are the prime factors of 13854?
2, 3, 2309
List the prime factors of 2304.
2, 3
What are the prime factors of 9429?
3, 7, 449
List the prime factors of 17828.
2, 4457
What are the prime factors of 3777?
3, 1259
What are the prime factors of 11908?
2, 13, 229
List the prime factors of 715.
5, 11, 13
List the prime factors of 148.
2, 37
List the prime factors of 67134.
2, 3, 67, 167
List the prime factors of 12399.
3, 4133
What are the prime factors of 1207?
17, 71
List the prime factors of 11574.
2, 3, 643
List the prime factors of 491.
491
What are the prime factors of 54259?
29, 1871
What are the prime factors of 29766?
2, 3, 11, 41
List the prime factors of 46080.
2, 3, 5
List the prime f | {
"pile_set_name": "DM Mathematics"
} |
*5 wrt p?
-600*p**2
Let y(x) be the third derivative of -5*x**8/336 + x**6/60 - 37*x**5/30 + x**4/24 + 538*x**2. Find the third derivative of y(z) wrt z.
-300*z**2 + 12
Let c be (-9 - -6)/((-3)/4 + 0). Suppose -3*d - 2*d = -70. Find the second derivative of -5*y + 6*y**4 + 0*y**c + d*y wrt y.
72*y**2
Let z(s) be the first derivative of 5*s**4/24 + 13*s**3/6 - s**2/2 - 14. Let a(k) be the second derivative of z(k). Differentiate a(l) with respect to l.
5
Let p(s) be the third derivative of 0*s**3 + 18*s**2 + 0 + 0*s - 1/2*s**4 - 13/60*s**5. Find the second derivative of p(m) wrt m.
-26
Let o(s) be the third derivative of 17*s**6/120 - 7*s**5/60 + 47*s**3 + 161*s**2. Differentiate o(h) wrt h.
51*h**2 - 14*h
Let m be (-20)/(-3)*(-42)/(-28). Let u = m + -8. Find the second derivative of 2*t**u - 7*t - 2*t**2 + 66*t**3 - 59*t**3 wrt t.
42*t
Suppose -225 = 2*k + 111. Let b be (-1 - 1) + k/(-24). Find the third derivative of 5*a - 10*a**5 + 6*a**2 - b*a + 0*a**2 wrt a.
-600*a**2
Let r(d) be the first derivative of 0*d**3 + 0*d**4 + 3*d**2 + 3/5*d**5 + 0*d + 4. What is the second derivative of r(f) wrt f?
36*f**2
Let f be ((-2)/(-3))/((77/(-336))/(-11)). What is the second derivative of -25*j - 76*j**2 + f*j**2 + 74*j**2 wrt j?
60
Let q be (-11 + 2)/63*0. Let b(f) be the first derivative of 1/3*f**3 + q*f**4 + 0*f + 4 + 9/5*f**5 + 0*f**2. What is the third derivative of b(i) wrt i?
216*i
What is the first derivative of 11 + 60*m**2 + 52*m - 2*m**3 - 52*m + 94 + 197 wrt m?
-6*m**2 + 120*m
Let z(g) = 123*g**6 + 6*g**3 + 330*g**2 - 6*g + 6. Let l(f) = f**6 - f**3 + f - 1. Let b(v) = -6*l(v) - z(v). What is the third derivative of b(m) wrt m?
-15480*m**3
Let b(i) be the first derivative of -579*i**2/2 - 620*i - 471. Find the first derivative of b(s) wrt s.
-579
Let u be 4/(-12) - (-96)/(-9). Let c = u + 13. What is the first derivative of -2 + 5 - 2 + 2*d**4 + c*d**4 wrt d?
16*d**3
What is the first derivative of 330*y + 335*y + 359 - 611*y**3 - 665*y wrt y?
-1833*y**2
Let g be 90/20*8/6. What is the third derivative of -6*w**2 + 11 - 15*w**g - 11 wrt w?
-1800*w**3
Let c(i) = i**3 - i - 1. Let a be (-2)/1 + 0/(-1). Let s(g) = g**3 + g. Let z = 168 - 170. Let r(n) = a*c(n) + z*s(n). Differentiate r(h) wrt h.
-12*h**2
Let v(c) be the first derivative of -17/7*c**7 + 0*c**4 + 0*c**2 + 0*c + 0*c**6 + 5*c**3 - 9 + 0*c**5. What is the third derivative of v(x) wrt x?
-2040*x**3
Let q = 22 - 14. Let r be ((-12)/15)/(q/(-20)). Find the third derivative of 96*c + 2*c**3 - 96*c - 10*c**r wrt c.
12
Let o(z) be the second derivative of -83*z**4/12 - 23*z**2 - 168*z. Differentiate o(a) wrt a.
-166*a
Let d(a) = 15*a**2 - 18*a**5 - 3 - 24*a**5 + 38*a**5. Let h(w) = 5*w**5 - 14*w**2 + 2. Let m(l) = -2*d(l) - 3*h(l). Find the third derivative of m(n) wrt n.
-420*n**2
Let j(i) be the first derivative of -3*i**8/112 + 7*i**5/30 + 13*i**2 + 20. Let x(z) be the second derivative of j(z). Find the third derivative of x(k) wrt k.
-540*k**2
Differentiate -3*k + 4*k + 9*k - 9*k + 7*k - 221 with respect to k.
8
Suppose -2*a + 5*a = 6. Let b be (a + 1)/3 - -18. What is the second derivative of 3*f**2 + 19 - 5*f - b wrt f?
6
Let p = -7 + 13. Suppose -h + 4*h = 0. Find the third derivative of 0*b**6 + h*b**2 - 2*b**2 - 4*b**p wrt b.
-480*b**3
Let k = 25 + -23. Let f be 22/6 + 2/(-3). Find the second derivative of 4*c**2 - 4*c**k + 5*c - c**f - 4*c wrt c.
-6*c
Differentiate -p**3 - 54 + 7*p**3 + 22 wrt p.
18*p**2
What is the second derivative of -69*g**3 + 5*g + 0*g - 11*g - 9*g wrt g?
-414*g
Let w be (-6 + 44)*2/4. Let q = -17 + w. What is the third derivative of 3*p**q - 4*p**4 + 0*p**4 - 7*p**4 wrt p?
-264*p
Find the second derivative of -66*z**2 + 35*z**2 + 31*z**2 - 64*z - 26*z**4 - 3*z**3 wrt z.
-312*z**2 - 18*z
Let z(h) = 42*h**2 - 6*h + 9. Let y be z(3). Let q = 18 + -13. What is the second derivative of -y*f**4 + 369*f**4 - f**q - 6*f wrt f?
-20*f**3
Let w(v) be the first derivative of 0*v + 16/3*v**3 - 7 + 0*v**2 - 3*v**4. What is the third derivative of w(u) wrt u?
-72
Let j(k) = 143*k**2 + 131. Let t(h) = 143*h**2 + 132. Let i(r) = -3*j(r) + 4*t(r). What is the derivative of i(b) wrt b?
286*b
Let t(w) be the third derivative of 0*w + 0 - 16/3*w**3 - 7/15*w**5 + 0*w**4 - 28*w**2. Differentiate t(u) with respect to u.
-56*u
Suppose -51 = -5*c + 2*c. Suppose 2*p - 11 = -3*s, -s = 4*p - 0*s - c. Find the second derivative of -9*w**p - 62 + 62 + 5*w wrt w.
-108*w**2
Let t be -2 - (1/1 - 9). Let y be (-4 - -7)*14/t. Differentiate 8 + y*a**3 + 2*a**2 - 2*a**3 - 2*a**2 with respect to a.
15*a**2
What is the second derivative of 16197 + 64*k + 7*k - 15*k - 16200 - 231*k**2 wrt k?
-462
Let i(x) = x**4 + 2. Let c(z) = 12*z**4 - z**3 - 70*z**2 + 2*z - 6. Let k(h) = -c(h) - 3*i(h). What is the third derivative of k(o) wrt o?
-360*o + 6
Let p(n) be the second derivative of n**4/12 + n**3 - 5*n**2 - 5*n. Let k be p(-8). What is the first derivative of -1 + k + 9*l - 7*l wrt l?
2
Let p(h) be the third derivative of -119*h**6/60 + h**4/12 - h**3/2 + 36*h**2. Find the second derivative of p(q) wrt q.
-1428*q
Let j = -169 + 173. Let w(d) be the first derivative of 1/2*d**2 + d**3 + 0*d + j. What is the second derivative of w(o) wrt o?
6
Let w(p) be the first derivative of -11*p**7/105 - p**5/4 - 4*p**2 + 24. Let i(r) be the second derivative of w(r). Find the third derivative of i(c) wrt c.
-528*c
Let x(z) be the third derivative of 31/60*z**5 + 34*z**2 + 0 + 3/20*z**6 + 0*z**4 + 0*z**3 + 0*z. Find the third derivative of x(v) wrt v.
108
Suppose -20 = -q + 6. Find the first derivative of 56 + 29 + q*u**4 + u - 68 wrt u.
104*u**3 + 1
Let z(k) be the first derivative of 3*k**8/112 - 7*k**4/12 + 21*k**2 - 13. Let y(g) be the second derivative of z(g). Find the second derivative of y(t) wrt t.
180*t**3
Differentiate -215 + f + 186 - f + 18*f**2 - 394 + f wrt f.
36*f + 1
Let k(d) = -3552*d + 1860. Let b(u) = -273*u + 143. Let z(t) = -27*b(t) + 2*k(t). What is the first derivative of z(i) wrt i?
267
Let b be 4/(-8 - 12)*20/(-6). Let o(c) be the second derivative of 3*c + 0*c**2 + 0 - b*c**4 - 1/6*c**3. Find the second derivative of o(x) wrt x.
-16
Let k be 8/(-36) + (-2332)/36. Let d = k - -305. Find the third derivative of 237*w**2 - w**5 - 4*w**5 + 6*w**5 - d*w**2 wrt w.
60*w**2
Let p(d) = -2*d**4 + d**3 + 2*d - 1. Let i(g) = -3*g**4 + 18*g**3 + 40*g - 1. Let y(o) = -i(o) + p(o). Find the second derivative of y(k) wrt k.
12*k**2 - 102*k
Let b(s) = -2*s**3 - s**2 - 4*s. Let d(p) = p + 0*p - 3*p + 3*p. Let f(q) = b(q) + 4*d(q). Find the third derivative of f(l) wrt l.
-12
Let a be 4/14 + (-6)/21. Suppose -6 + a = 2*q - 5*p, 0 = -q + 4*p - 6. What is the second derivative of -12*f - f**2 + 9*f - q*f**2 wrt f?
-6
Let g(u) be the third derivative of -287*u**6/120 - 139*u**3/3 + 149*u**2. Differentiate g(h) with respect to h.
-861*h**2
Let d(a) be the second derivative of a**3/2 - 3*a**2 - 7*a. Let v be d(5). What is the third derivative of 4*s**2 - 9*s**3 + v*s**3 - 2*s**2 - 2*s**6 wrt s?
-240*s**3
Let x(m) be the first derivative of 59*m**6/6 - 7*m**2 - 60. Find the second derivative of x(q) wrt q.
1180*q**3
What is the third derivative of 95*r**2 - 408*r**3 + 0 + 553*r**3 + 0 wrt r?
870
What is the second derivative of n**4 - 16*n - 103*n**2 - 3 - 101*n - 71*n + 5 wrt n?
12*n**2 - 206
Let g(p) be the first derivative of p**7/280 + 19*p**6/360 - 17*p**3/3 - 5. Let i(w) be the third derivative of g(w). Find the third derivative of i(x) wrt x.
18
Let c(z) be the first derivative of -z**3 + 155*z + 90. Find the first derivative of c(l) wrt l.
-6*l
Let l(a) be the third derivative of -19*a**5/60 - 7*a**4/24 + 307*a**3/6 + 67*a**2 - 2. Find the first derivative of l(h) wrt h.
-38*h - 7
What is the second derivative of 2*y**2 - 4*y**2 - 13 + 15 + 28*y - 12*y**4 wrt y?
-144*y**2 - 4
Let q = 43 - 33. Find the second derivative of -q*m**3 - 13*m + 2*m**3 + 2*m**3 wrt m.
-36*m
Differentiate -263*b**4 - 123*b**4 + 328 + 99*b**4 with respect to b.
-1148*b**3
Let f(o) be the third derivative of -5*o**9/504 - 3*o**6/40 - 221*o**5/30 + 302*o**2. What is the third derivative of f(s) wrt s?
-600*s**3 - 54
Let d(s) be the second derivative of -s**6/30 + 31*s**4/2 + 101*s**3/2 - s**2 - s + 39. Find the second deri | {
"pile_set_name": "DM Mathematics"
} |
4)
10
-7 + (-182)/65*-5
7
Calculate (-17)/(816/208) - -4.
-1/3
What is the value of (-1 - -3)/(-48 - 12/(-6))?
-1/23
What is ((-38)/(-190))/(6 + 1510/(-250))?
-5
7 - ((-1)/(-3))/(8/184)
-2/3
What is the value of (22/(-12))/(27/162)?
-11
Calculate ((-340)/(-120) - (-2)/3)*260/(-35).
-26
Evaluate ((-140)/(-2450))/(1/(-5)).
-2/7
Evaluate 9/(-12)*6744/(-1405).
18/5
Evaluate (819/126)/((-4)/(-8)).
13
What is the value of (65/(-52))/5 - (-627)/(-108) - -6?
-1/18
(-5)/(-3)*(-8310)/(-463975)
2/67
What is ((-424)/78)/(2222/(-66) + 33) + -8?
2/13
What is 43/(172/8) - (-60)/9*-3?
-18
What is (38/(-14) - -1)*(76/19)/(-4)?
12/7
(-4)/(-18)*(-4266)/(-40290)
2/85
What is the value of 26/(-39)*1*(2 + 333/(-18))?
11
Calculate (9/(-18))/((-245)/(-210)).
-3/7
What is the value of (9 + -9 + (-4 - -3))/(78/26)?
-1/3
Evaluate 14/35 - (-152)/20 - 4.
4
What is (-6)/(-8)*12/(-42)?
-3/14
What is the value of (-5)/(-2)*324/(-405) - -8?
6
Evaluate 1/2*(-580)/1595.
-2/11
Calculate ((39/9)/(1/(-6)))/(-2).
13
Calculate (4/62 - 3919/682) + (-4)/(-22).
-11/2
16 - 1296/42 - -15
1/7
Calculate ((-114480)/7224)/18 - 12/(-14).
-1/43
What is the value of 3/(-12) + (-177)/(-20) + (1 - 7)?
13/5
What is -21 - (-39 - (2 + -15))?
5
(104/(-585))/((400/90)/(-20))
4/5
1/20 + (-145464)/(-9120)
16
Evaluate (-17)/(1700/(-1525)) + 10/(-8).
14
Calculate -17 - 45/(-3) - 7.
-9
(9447/134 + -61)*8/19
4
Evaluate 0 + 19 + 55 + -56.
18
What is the value of -1 + 8 + 27/(-108)*-28?
14
Calculate -20 + (3832/120 - 12).
-1/15
What is (-924)/(-63) + ((-2)/(-6))/(-13 + 14)?
15
Calculate 664/(-249) - 60/(-9).
4
22272/(-1056) - (2 - 7) - -16
-1/11
(8/(-26))/(68/(-255)*-1*-15)
1/13
Calculate -2*108/(-24) - 7/((-42)/78).
22
Calculate 0 + -12*25/15.
-20
What is the value of ((2829/(-115))/41)/(54/20)?
-2/9
What is (15/3 - 35)*(-5)/((-350)/4)?
-12/7
Evaluate -13*33/715*(-2*1)/12.
1/10
Evaluate (5/5*14/(-308))/(1/4).
-2/11
What is 418/(-60) - (-4)/(-20) - (-2)/12?
-7
Calculate ((-45)/60 + (-78)/(-40))/(80/(-200)).
-3
What is the value of 412 - 406 - 58/10?
1/5
Calculate (43/1290)/((5/(-2))/((-25)/12)).
1/36
What is the value of ((-42)/(-72)*6/42)/((-6)/45)?
-5/8
Calculate (((-644)/(-6))/7)/((-204)/(-306)).
23
Calculate ((65 - 2)/7)/(-2 - 200/(-88)).
33
What is the value of 0 + (-2 - 39/(-5)) - (-147 + 152)?
4/5
(1365/350 - 4) + (-422)/(-20)
21
Calculate (-81)/(-54)*40/(-6).
-10
Calculate (-402)/1206 - (-2)/(-3).
-1
What is 162/(-36)*(-56)/336?
3/4
What is (4 - 6)/(9/(-6)*200/12)?
2/25
15 - 800439/(-17821)*2/(-6)
2/71
What is the value of (-22)/154 + (-427)/(-1323)*-3?
-10/9
Evaluate 979/(-308) - -1 - (8 - (-315)/(-36)).
-10/7
Calculate (30/12)/((-1080)/96).
-2/9
(-1 - -19)*1/(19 - 20)
-18
Evaluate ((-1)/1)/((-3)/2*1853/(-327)).
-2/17
What is the value of (-1)/(-2)*-2*-3?
3
Evaluate -25 - -10*90/36.
0
What is (5 - 3212/660) + (-2)/6?
-1/5
Evaluate (46 - 6) + (-2509)/193.
27
What is the value of 15/(-1150)*(-1240)/186?
2/23
Calculate 36 - 5 - -3*(-20)/6.
21
Evaluate (507/180)/(-13) + (4921/370 - 13).
1/12
6/(-14)*(-259)/1665
1/15
(14/(-42)*(-36)/24)/(-19)
-1/38
What is the value of -10 + -60*11/(-44)?
5
((-34)/51)/((-4)/276)*(-20)/(-40)
23
Evaluate 1 + (-247)/(-152)*(0 + 8).
14
-6*(9 + -4)/(-135)
2/9
What is the value of (4/10*(-10)/(-16))/((-2)/(-4))?
1/2
What is (-192 - -198) + 7*26/(-30)?
-1/15
Evaluate 8680/(-360) + (-2)/(-18).
-24
Calculate (-90)/(-434) + 0 + (-50)/16800*48.
2/31
What is -4 - (-5)/(45/36)?
0
Calculate ((14/(-20))/7*4)/((-1122)/255).
1/11
What is (24/99)/((-1)/(-30)*20)?
4/11
Calculate ((-836)/77 + 1 + 10)*(1 - -6).
1
What is (1509/9557)/(3/(-2))?
-2/19
(3/8)/((-6)/(-48))*(-118)/531
-2/3
(3/(-12)*-3)/6*8
1
What is ((-4002)/116)/((-6)/(-4))?
-23
-2 - (-2 + 1)*55/70*2
-3/7
What is the value of 162/(9 + -15) - (20 + -33)?
-14
What is the value of (48*(-195)/(-312))/(-1)?
-30
84/(-22) - -12 - (-2)/(-11)
8
What is the value of 11/((-484)/(-8)) + (-26176)/704?
-37
What is the value of (-1410)/(-4785) - 16/(-232)?
4/11
Calculate 1 + -12 + (-118 - -133).
4
Evaluate ((-2)/168)/((-6)/(-28)*40/(-30)).
1/24
Calculate (-35)/(-21) - (7 + 112/24).
-10
Evaluate (7 - -7)*(9 + (-138)/42 - 4).
24
Calculate (4/(-10))/((-6)/(-10)).
-2/3
What is (1 + -10 - 1)*369/738?
-5
What is 6 - ((-12)/(1080/195))/(2/(-4))?
5/3
(42/21)/((-6)/24)
-8
((-26)/10 + 3)/(348/(-60))
-2/29
((31 - 10)/(-21))/((-1)/(-7))
-7
Calculate (-4 - 7) + 11 + -8 - 1.
-9
-9 - -11*(-7)/((-105)/10)
-5/3
9/(-15)*((-64)/(-8) + -13)
3
What is the value of (-486)/36*((-28)/(-21) - (1 + 1))?
9
What is the value of (-36)/15 + 2 - (-33803)/2195?
15
Calculate (-20)/175 - (-3)/(-5) - (-38)/(-133).
-1
Calculate (1 - 255/285)*-1.
-2/19
Calculate ((-4)/6 - -1)/(((-1474)/264)/67).
-4
Evaluate ((-15)/40)/((-1)/6 - (-638)/264).
-1/6
(72/42)/(((-6)/(-16))/((-49)/(-28)))
8
What is the value of 119/(-1547) - 76/26 - 1*-10?
7
Calculate (-83 - -99) + 6 + 440/(-8).
-33
What is the value of 12/16 + (-16 - (-5343)/364)?
-4/7
Evaluate ((-75)/(-2250)*-12)/(2/(-165)).
33
What is -3*2/(-48)*(-1536)/3648?
-1/19
What is the value of (-12)/(-15)*12*3/48?
3/5
Calculate (-351)/(-702)*(-3)/12.
-1/8
What is (-192)/60*(4 - 12*2/16)?
-8
Calculate (3*-3 - -3)*(-76 + 75).
6
(14/60 - 19/57)*14
-7/5
What is the value of (-80)/(-100)*1*(66/(-12))/11?
-2/5
What is the value of (-2)/((-5 - -1) + 10 + -8)*31?
31
What is (2 + -5)*(12/(-30) + 1)?
-9/5
-36 + (-22)/(2992/(-4879))
-1/8
Evaluate 4/(-6) - (-5)/(-15).
-1
What is 13*135/351 - 75/9?
-10/3
270/(-42)*1596/(-570)
18
Calculate (-1496)/((-18768)/138) + (-1 - (-89)/(-9)).
1/9
Evaluate (-260)/156*(-4 - 28/5).
16
Evaluate (-5)/(-4) + 32 + 3621/(-68).
-20
Evaluate 4328/(-120) - (-13)/195.
-36
Evaluate ((-1)/4)/((-3)/(-16)) - (-764)/2292.
-1
Evaluate 100/15*(-13)/(-1820).
1/21
-5 - (-9 - (1140/(-58))/5)
2/29
Calculate (-258)/(-24) - -3 - (-170)/136.
15
Evaluate ((-65)/26)/((-4)/(-30)*-25).
3/4
What is (1506/5271)/((-12)/(-14))?
1/3
What is (-20 + (-507)/(-26))/(1/26)?
-13
81/12 - (-39)/156
7
What is ((-329)/141)/(4/18 - 11/198)?
-14
Calculate 19/(-38)*218/4 - (-12)/48.
-27
Calculate (-1008)/(-864) + (-11)/6.
-2/3
What is the value of (-18)/(-8)*((-17388)/(-891) + -20)?
-12/11
Calculate (-2)/(-406)*29*-35.
-5
Evaluate 44 + (-1404)/36 - (0 + -1*2).
7
What is 23 - (-60)/(-52)*13?
8
What is (-22*15/420 + (-4)/(-14))*4?
-2
Calculate -5 - (624/(-130) + 3/(-6)).
3/10
Evaluate (-2365)/602 + 6/14.
-7/2
What is (35/(-138) - 502/(-5773))*4/5?
-2/15
What is the value of (71/(-3) + -3)/((-2086)/(-3129))?
-40
What is the value of 9 + 4 + 1 + 5320/(-378)?
-2/27
What is the value of (-1380)/5060*(-5 - -3)?
6/11
Evaluate 224/2607 - ((-78080)/1056 + 74).
2/79
Evaluate ((-17622)/90)/11 + 2/(-10) + 5.
-13
What is the value of (99/(-42))/((-33)/(-110)) - -10?
15/7
What is (44/(-10) + (-153)/(-45) + -3)*1?
-4
Calculate 36/(-21) + ((-552)/12)/(-23).
2/7
Evaluate (-4)/(-6)*(-5 + 8).
2
Calculate -1*18 + -10*((-88)/55 + 1).
-12
What is the value of (6 + 1)*9/(378/96)?
16
Calculate (8/(-3) - 2) + 276/414.
-4
What is (10 - (11 + -4))*(-6)/(-15)?
6/5
What is (-90)/105*((-85)/102)/((-15)/9)?
-3/7
Evaluate (-14)/(-6)*(13504/448 - 25).
12
What is -2 - 61/(24339/(-840))?
2/19
Evaluate 2792/(-349) + (-180)/(-22).
2/11
Calculate -60 + 16 - -53 - (0 - -29).
-20
What is the value of (-12)/(-4) + -3 - (9 + 555/(-60))?
1/4
What is the value of 0 - -8 - (-533856)/(-66464)?
-1/31
Calculate -24 - -7 - 8/(-2).
-13
What is the value of ((-3)/(27/(-24)))/((-114)/513)?
-12
What is the value of 536/(-54) - (-21)/1701*-6?
-10
Calculate 16/(-24) + (-1696)/(-24)*(-2)/(-8).
17
What is (-10)/(-25) - 18/((-9720)/2844)?
17/3
What is the value of (2/4)/((170/(-15))/(28/21))?
-1/17
(87/116)/(66/(-4))
-1/22
What is 1/(-3) + ((-665)/14 - -1)/(-18)?
9/4
Evaluate (12/40*2)/((-87906)/(-5980)).
2/49
What is ((-10)/((-8)/(-4)) - -2) + (-1 - -9)?
5
What is (-40)/(-6) + (-17 - 52/(-3))?
7
Calculate (-6 - -4)*8/(-104).
2/13
9/((-243)/(-150)) + (-8)/24*12
14/9
Evaluate (285/(-114))/(2/(-8)).
10
What is the value of (-10)/(-30)*(-2 + 4)?
2/3
Evaluate (22/(-6468)*-70)/(15/(-54)).
-6/7
What is 2 + (17 + -12)/(-3 - 1*-8)?
3
What is 14 + (5 - 16) + -20 + 32/8?
-13
Calculate 79/(-1659) + (4 - 797/21).
-34
What is (-562356)/(-16764) + 9/(-66)*4?
33
Calculate (-28)/(-63)*((-188)/(-8) - 10).
6
(-4 + 7)*3 - (2 - 18)
25
Wh | {
"pile_set_name": "DM Mathematics"
} |
igit of 16902?
2
What is the units digit of 3229?
9
What is the tens digit of 978?
7
What is the units digit of 21739?
9
What is the hundreds digit of 75154?
1
What is the units digit of 5552?
2
What is the ten thousands digit of 38700?
3
What is the hundreds digit of 79724?
7
What is the ten thousands digit of 23397?
2
What is the tens digit of 25?
2
What is the units digit of 5132?
2
What is the units digit of 45302?
2
What is the units digit of 152996?
6
What is the hundreds digit of 4533?
5
What is the tens digit of 1539?
3
What is the thousands digit of 3221?
3
What is the thousands digit of 22212?
2
What is the units digit of 1379?
9
What is the tens digit of 4643?
4
What is the hundreds digit of 2020?
0
What is the tens digit of 20461?
6
What is the hundreds digit of 5874?
8
What is the units digit of 45605?
5
What is the ten thousands digit of 24043?
2
What is the hundreds digit of 439?
4
What is the tens digit of 1959?
5
What is the hundreds digit of 16218?
2
What is the hundreds digit of 433?
4
What is the ten thousands digit of 60364?
6
What is the tens digit of 8933?
3
What is the ten thousands digit of 27855?
2
What is the thousands digit of 1022?
1
What is the thousands digit of 1437?
1
What is the units digit of 2603?
3
What is the units digit of 84586?
6
What is the thousands digit of 4084?
4
What is the units digit of 23759?
9
What is the hundreds digit of 1930?
9
What is the units digit of 613?
3
What is the hundreds digit of 112465?
4
What is the tens digit of 269?
6
What is the ten thousands digit of 59496?
5
What is the units digit of 46151?
1
What is the hundreds digit of 32447?
4
What is the ten thousands digit of 73125?
7
What is the thousands digit of 1805?
1
What is the hundreds digit of 20351?
3
What is the thousands digit of 12864?
2
What is the units digit of 63713?
3
What is the ten thousands digit of 27376?
2
What is the thousands digit of 2796?
2
What is the hundreds digit of 58624?
6
What is the tens digit of 3665?
6
What is the tens digit of 1283?
8
What is the hundreds digit of 1515?
5
What is the thousands digit of 31847?
1
What is the units digit of 235?
5
What is the units digit of 10457?
7
What is the tens digit of 21102?
0
What is the units digit of 302?
2
What is the thousands digit of 1591?
1
What is the thousands digit of 1886?
1
What is the tens digit of 11639?
3
What is the tens digit of 69635?
3
What is the ten thousands digit of 41186?
4
What is the tens digit of 1389?
8
What is the ten thousands digit of 19382?
1
What is the units digit of 121?
1
What is the units digit of 36243?
3
What is the hundreds digit of 639?
6
What is the units digit of 1388?
8
What is the tens digit of 2009?
0
What is the tens digit of 5841?
4
What is the thousands digit of 3796?
3
What is the hundreds digit of 34544?
5
What is the units digit of 19613?
3
What is the thousands digit of 1368?
1
What is the hundreds digit of 12150?
1
What is the thousands digit of 3118?
3
What is the thousands digit of 20334?
0
What is the hundreds digit of 65221?
2
What is the units digit of 152858?
8
What is the hundreds digit of 2047?
0
What is the tens digit of 23809?
0
What is the hundreds digit of 1552?
5
What is the units digit of 63149?
9
What is the hundreds digit of 1476?
4
What is the hundreds digit of 1338?
3
What is the hundreds digit of 92279?
2
What is the thousands digit of 1512?
1
What is the units digit of 814?
4
What is the units digit of 44806?
6
What is the hundreds digit of 683?
6
What is the hundreds digit of 36461?
4
What is the units digit of 524?
4
What is the thousands digit of 4103?
4
What is the thousands digit of 8723?
8
What is the ten thousands digit of 63244?
6
What is the tens digit of 487?
8
What is the hundreds digit of 521?
5
What is the hundreds digit of 378?
3
What is the units digit of 16210?
0
What is the units digit of 898?
8
What is the tens digit of 649?
4
What is the hundreds digit of 7673?
6
What is the tens digit of 3097?
9
What is the tens digit of 18533?
3
What is the thousands digit of 29678?
9
What is the units digit of 993?
3
What is the ten thousands digit of 16229?
1
What is the units digit of 764?
4
What is the hundreds digit of 1517?
5
What is the ten thousands digit of 19145?
1
What is the units digit of 5732?
2
What is the tens digit of 1106?
0
What is the tens digit of 6009?
0
What is the units digit of 59038?
8
What is the hundreds digit of 7054?
0
What is the thousands digit of 1075?
1
What is the tens digit of 749?
4
What is the tens digit of 739?
3
What is the thousands digit of 12649?
2
What is the units digit of 6701?
1
What is the thousands digit of 1303?
1
What is the units digit of 192145?
5
What is the hundreds digit of 9453?
4
What is the tens digit of 6553?
5
What is the tens digit of 26169?
6
What is the ten thousands digit of 102276?
0
What is the units digit of 169?
9
What is the thousands digit of 2662?
2
What is the thousands digit of 9690?
9
What is the units digit of 8475?
5
What is the thousands digit of 2599?
2
What is the hundreds digit of 6462?
4
What is the hundreds digit of 27959?
9
What is the tens digit of 8414?
1
What is the tens digit of 7449?
4
What is the units digit of 56358?
8
What is the tens digit of 3978?
7
What is the thousands digit of 9004?
9
What is the units digit of 6481?
1
What is the units digit of 51995?
5
What is the tens digit of 87818?
1
What is the tens digit of 40530?
3
What is the hundreds digit of 548?
5
What is the thousands digit of 59098?
9
What is the ten thousands digit of 24627?
2
What is the units digit of 11355?
5
What is the units digit of 1241?
1
What is the tens digit of 361?
6
What is the hundreds digit of 12847?
8
What is the hundreds digit of 5491?
4
What is the tens digit of 248?
4
What is the units digit of 15786?
6
What is the hundreds digit of 806?
8
What is the hundreds digit of 3447?
4
What is the tens digit of 7817?
1
What is the hundreds digit of 1102?
1
What is the units digit of 12179?
9
What is the hundreds digit of 971?
9
What is the thousands digit of 2869?
2
What is the ten thousands digit of 22478?
2
What is the tens digit of 56575?
7
What is the ten thousands digit of 20716?
2
What is the hundred thousands digit of 112779?
1
What is the thousands digit of 27367?
7
What is the hundreds digit of 36150?
1
What is the thousands digit of 1522?
1
What is the thousands digit of 3214?
3
What is the tens digit of 1593?
9
What is the tens digit of 1912?
1
What is the tens digit of 9279?
7
What is the thousands digit of 61723?
1
What is the tens digit of 6071?
7
What is the units digit of 1369?
9
What is the hundreds digit of 6527?
5
What is the tens digit of 2339?
3
What is the tens digit of 1137?
3
What is the units digit of 76902?
2
What is the units digit of 68546?
6
What is the ten thousands digit of 17466?
1
What is the hundreds digit of 31036?
0
What is the tens digit of 11352?
5
What is the thousands digit of 4194?
4
What is the units digit of 5228?
8
What is the hundreds digit of 778?
7
What is the units digit of 347?
7
What is the ten thousands digit of 13057?
1
What is the hundreds digit of 5400?
4
What is the thousands digit of 91779?
1
What is the hundreds digit of 307?
3
What is the hundreds digit of 614?
6
What is the thousands digit of 3482?
3
What is the ten thousands digit of 49018?
4
What is the thousands digit of 1194?
1
What is the units digit of 82077?
7
What is the tens digit of 20584?
8
What is the thousands digit of 9407?
9
What is the tens digit of 11492?
9
What is the tens digit of 1272?
7
What is the thousands digit of 63094?
3
What is the thousands digit of 2719?
2
What is the tens digit of 791?
9
What is the ten thousands digit of 84475?
8
What is the units digit of 1633?
3
What is the hundreds digit of 155?
1
What is the hundreds digit of 410?
4
What is the thousands digit of 6762?
6
What is the tens digit of 73342?
4
What is the tens digit of 47?
4
What is the hundreds digit of 276?
2
What is the tens digit of 4555?
5
What is the units digit of 4459?
9
What is the tens digit of 7316?
1
What is the tens digit of 6461?
6
What is the units digit of 686?
6
What is the units digit of 878?
8
What is the tens digit of 48?
4
What is the units digit of 4744?
4
What is the thousands di | {
"pile_set_name": "DM Mathematics"
} |
positive.
d**(-5/2)
Simplify ((l/l**(-4/5))/l)/((l*l**(1/2)/l*l)/l)*((l/((l**(-2/17)/l)/l))/l)/((l*l**(-6)/l)/l) assuming l is positive.
l**(1601/170)
Simplify (i**(-1/3)/i)**(-11)*(i/(i/(i*(i*i**(-2/13))/i)))/(i*i**(-5)/i) assuming i is positive.
i**(800/39)
Simplify z**(-18)*z*z*z**(-2/13)*z assuming z is positive.
z**(-197/13)
Simplify ((f*f**(3/10)*f*f)/f*f*f**(-4/5))**(2/3) assuming f is positive.
f**(5/3)
Simplify u**(1/10)*u**(1/12) assuming u is positive.
u**(11/60)
Simplify q**43*q/(q*q/q**(8/3)*q)*q assuming q is positive.
q**(134/3)
Simplify (l*l**(-17))/(l*(l**(-5/6)*l*l)/l) assuming l is positive.
l**(-103/6)
Simplify (r**(-8/7)*r)/((r**(-1/3)/r*r)/r*r)*((r**7*r)/r)/((r/(r/r**(2/13)))/r) assuming r is positive.
r**(2194/273)
Simplify (z*(z*z**(-3/2)/z)/z*z)/(z/z**(-2))*(z**2)**21 assuming z is positive.
z**(77/2)
Simplify ((b**(-1)/b)/b**(2/23))/(b*b**(2/3))**(-20) assuming b is positive.
b**(2156/69)
Simplify ((b*b/b**(-4/5))/(b/(b**(2/5)*b)))/(b**0/b)**(-32/5) assuming b is positive.
b**(-16/5)
Simplify (n**(2/21))**4 assuming n is positive.
n**(8/21)
Simplify (o**(-1/4))**(-47)*(o*o/((o*o**(-5)/o)/o)*o*o)/((o*o**(-6)*o)/o) assuming o is positive.
o**(107/4)
Simplify u**(8/3)/u**(3/5)*(u*u*u**(2/9))/u*u**(-4)*u*u assuming u is positive.
u**(58/45)
Simplify ((t*t**(-14))/(t*t**(1/10)))**(-3/23) assuming t is positive.
t**(423/230)
Simplify (r**(-26))**(1/7) assuming r is positive.
r**(-26/7)
Simplify (b**(2/23))**(2/17) assuming b is positive.
b**(4/391)
Simplify (x**(-1)/x**6)/(x/((x*x**(-1))/x))**33 assuming x is positive.
x**(-73)
Simplify (((x/x**(-2/3))/x)**42)**(2/7) assuming x is positive.
x**8
Simplify ((z**(-2))**(6/17))**(-1/22) assuming z is positive.
z**(6/187)
Simplify (i*(i*i*i*i/(i/(i*(i*i**(2/5)*i*i)/i)))/i*i**0/i)/((i*i*i**(-2/13)/i)/(i*i/(i*i**(-4))*i*i)) assuming i is positive.
i**(751/65)
Simplify ((x*x**0)/(x/(x*x*x/x**(-1/8))))/(x**(-2)/x*x*x**(-3)/x) assuming x is positive.
x**(73/8)
Simplify h**(-7)*(h*h/(h*h*h/((h*h*(h/(h**(-18)/h))/h)/h)*h))/h assuming h is positive.
h**10
Simplify d*d/(d**(-6)*d)*d*d*d*d**(3/5)/d*d**(-1/4)*d/d**4*d assuming d is positive.
d**(147/20)
Simplify ((a*a**(2/5))/a)**(-11)/(a**(-2/7))**(-20) assuming a is positive.
a**(-354/35)
Simplify q*q**(-7)*q**(-10)*q**(5/2)*q/q**(-4)*q assuming q is positive.
q**(-15/2)
Simplify (m**(1/4))**(-2/11)/((m/(m/(m/(m*m*m*m*(m/(m*m**(-1/3)*m))/m*m)))*m*m)/m**(-2/3)) assuming m is positive.
m**(-25/66)
Simplify d*d**6*d**(1/3)*(d**2)**45 assuming d is positive.
d**(292/3)
Simplify (z*z*z**20*z*z*z)**49 assuming z is positive.
z**1225
Simplify (j**(-2/9))**(-2/5)*(j**(5/6)*j)/j*j**(-1/18) assuming j is positive.
j**(13/15)
Simplify (q/(q*((q/(q*(q*q**(-2))/q))/q)/q*q))**(-1/2)/((q**(-9)/q)/(q/(q/q**8))) assuming q is positive.
q**(37/2)
Simplify (t**(-6)*t)/(t/((t**9*t)/t))*t**(2/11)/(t/(t*t*t/(t*((t/((t*t**7*t)/t))/t)/t)*t)) assuming t is positive.
t**(156/11)
Simplify h**(-2/15)*h*h/(h/(((h/h**(-6/13))/h)/h*h*h))*h assuming h is positive.
h**(649/195)
Simplify (b**(8/3)/(b**(-5)/b))**(-1/2) assuming b is positive.
b**(-13/3)
Simplify h/h**(-24)*h**(-6/13) assuming h is positive.
h**(319/13)
Simplify ((d**(2/5)/d)/d*d/d**2*d)/((((d/d**(2/3))/d)/d*d*d)/(d**1/d)) assuming d is positive.
d**(-29/15)
Simplify (q/(q**(-8)*q)*q*q**(-1/2))/((q/(q/q**(-7)))/q*q/((q/q**6*q)/q)*q*q) assuming q is positive.
q**(17/2)
Simplify (i**2*i)**(21/5) assuming i is positive.
i**(63/5)
Simplify (t**(1/9)/t*t*t*t/(t*t*t*t**(9/5))*t)**12 assuming t is positive.
t**(-304/15)
Simplify (v**(1/4)/v)/(v*v*v**(-16)*v) assuming v is positive.
v**(49/4)
Simplify ((d/((d*d**(-1))/d*d))/(d**5/d))**(-28) assuming d is positive.
d**84
Simplify (z*(z/(z/z**(-14)))/z)/(z/((z/z**6)/z)) assuming z is positive.
z**(-21)
Simplify ((((q/(q/((q**(1/3)/q)/q)))/q)/q)/q)**(3/8)/(q*q**(-1/2))**(3/8) assuming q is positive.
q**(-31/16)
Simplify ((l*l/((l*l**(-6/5))/l*l))/l*l)/l**(-28) assuming l is positive.
l**(151/5)
Simplify (d/(d/(d/d**10)*d))**(4/19) assuming d is positive.
d**(-40/19)
Simplify c**(-1)*c**(-1/7)/c*c/(c*c**(2/25))*c**(-4) assuming c is positive.
c**(-1089/175)
Simplify ((((v/(v**(-8)/v))/v)/v)/v*v/v**(-2/5))/(v*v**(-2/5))**(-2/19) assuming v is positive.
v**(804/95)
Simplify (j*(j/(j*j/(j/(j/(j*j*j/(j/(j*j*j*j*j*j**(-2)*j)))))*j))/j)**(-37)*j/j**8*j/(j*(j/j**6)/j*j*j*j)*j assuming j is positive.
j**(-151)
Simplify (r**(-4/7)/r)/(r*r**(-19)) assuming r is positive.
r**(115/7)
Simplify ((j/(((j/j**15)/j)/j))/j)/j*j**6*j assuming j is positive.
j**22
Simplify ((p*p**(2/7))/p**(-9/7))**(-2/27) assuming p is positive.
p**(-4/21)
Simplify ((b**(-10)/b)/(b*b**11))**(32/3) assuming b is positive.
b**(-736/3)
Simplify (d/(d/d**(-1/4)))**(-6/29)/(d/(d**(-1/4)*d))**26 assuming d is positive.
d**(-187/29)
Simplify (u**4)**(2/3) assuming u is positive.
u**(8/3)
Simplify (b/(b*(b*b**(-1)/b)/b)*b*b**(-3))**(5/8) assuming b is positive.
1
Simplify x**(4/11)*x*x**(-10)*x*(x/x**0)**(-3) assuming x is positive.
x**(-117/11)
Simplify b/(b/(b*((((b*b**40*b*b)/b)/b*b)/b)/b*b))*b**(-25) assuming b is positive.
b**17
Simplify (o**(-6))**(2/5) assuming o is positive.
o**(-12/5)
Simplify x**(-1/6)*x*x**(-4/5)*x*(x*x**(-1/5))/(x**6*x) assuming x is positive.
x**(-31/6)
Simplify (m**(-1/4))**23/((m*m**(-2/7))/(m/m**5)) assuming m is positive.
m**(-293/28)
Simplify h**2/h**(-6/7) assuming h is positive.
h**(20/7)
Simplify d**(5/8)/d**(-2/17) assuming d is positive.
d**(101/136)
Simplify h/h**(25/3)*(h*h/(h*h**(-1/17))*h)/h assuming h is positive.
h**(-320/51)
Simplify i*i**(-3/5)*i**(-3) assuming i is positive.
i**(-13/5)
Simplify (j*j/(j*j**7))**(6/11) assuming j is positive.
j**(-36/11)
Simplify (p/(((p**5*p)/p)/p)*p**(3/8)*p)**36 assuming p is positive.
p**(-117/2)
Simplify (o/(o*(o**(1/18)*o)/o)*o)/((o*o**(13/2))/o*o) assuming o is positive.
o**(-59/9)
Simplify (a**(5/3))**(-1/52) assuming a is positive.
a**(-5/156)
Simplify (a**(-2/5)*a**(-1/10))**(-4/15) assuming a is positive.
a**(2/15)
Simplify (a**(-3)/a)**(-35) assuming a is positive.
a**140
Simplify o*o**(-4/5)/o*o**(6/11) assuming o is positive.
o**(-14/55)
Simplify (x**(-1/4))**(-26)*x/((x*x**(2/7)*x)/x)*x**(-2/7) assuming x is positive.
x**(83/14)
Simplify (u**(3/10)/(u*u**(1/24)))**(-2/19) assuming u is positive.
u**(89/1140)
Simplify ((b/((b/(b/b**(-5)))/b))/b**(-2/3))**(21/2) assuming b is positive.
b**(161/2)
Simplify (c**(-5/9))**33 assuming c is positive.
c**(-55/3)
Simplify z**(-2)*z**(1/3)/z assuming z is positive.
z**(-8/3)
Simplify v/(((v*(v/v**(-11)*v*v)/v*v)/v)/v*v)*v/v**(-1/9) assuming v is positive.
v**(-107/9)
Simplify (((r/r**13)/r)/r)/r*r*r**(14/3)*r assuming r is positive.
r**(-25/3)
Simplify (z**(-2/9))**(-5/2)*(z**(1/4))**(2/17) assuming z is positive.
z**(179/306)
Simplify w**(-27)*w*w**16 assuming w is positive.
w**(-10)
Simplify l*l**4*l**(-4)*l**7/((l**(-4)*l)/l) assuming l is positive.
l**12
Simplify (k/(k*k**4)*k**2)**(3/11) assuming k is positive.
k**(-6/11)
Simplify ((n**(2/13)*n)/n)**41 assuming n is positive.
n**(82/13)
Simplify d/(d*d**(-4))*d**(-15) assuming d is positive.
d**(-11)
Simplify ((z*z**8/z)**(-2/15))**(-10) assuming z is positive.
z**(32/3)
Simplify ((k*(k*k/(k*k/k**7))/k*k)/(k/k**(1/5)))/((k/k**(-1/5)*k)/(k/(k*k**(-8/7)*k))) assuming k is positive.
k**(36/7)
Simplify (l**33/l)/l**(-12) assuming l is positive.
l**44
Simplify r**18/r*r*r**(1/4) assuming r is positive.
r**(73/4)
Simplify (c*c*c**(7/3))**(-35) assuming c is positive.
c**(-455/3)
Simplify (q**15*q)/(q/(q/(q**(-2/21)/q*q))) assuming q is positive.
q**(338/21)
Simplify (((n*n*n**1/n)/n)/n)**(2/13)/(n/n**(-2)*n/n**(-4/5)) assuming n is positive.
n**(-24/5)
Simplify ((h**(-1/4))**(7/8))**(-17) assuming h is positive.
h**(119/32)
Simplify (n/((n/n**2)/n)*n*n**(-6)*n)/(n/((n*n*n**(-10)/n*n)/n)*n**(-1/7)/n) assuming n is positive.
n**(-69/7)
Simplify (((h*h/(h*h*(h*h/h**(-1/4))/h))/h)/h*h*(h*(h**(-4/5)/h)/h)/h)/((h/h**8)/((h*h**(1/7)/h)/h)) assuming h is positive.
h**(153/140)
Simplify (a**0*a)**(-6)/(a**(1/2)/a*a*a)**(6/7) assuming a is positive.
a**(-51/7)
Simplify a**(-17)*a*a**43*a assuming a is positive.
a**28
Simplify q**(-2/23)*q*q*(q**(1/6)*q)/q assuming q is positive.
q**(287/138)
Simplify (t*t**(-1/8))/t*(t**(1/4)*t)/t as | {
"pile_set_name": "DM Mathematics"
} |
7, 193, 197551
What are the prime factors of 29818590?
2, 3, 5, 31, 32063
What are the prime factors of 1192143825?
3, 5, 43, 13691
List the prime factors of 114942648.
2, 3, 4789277
What are the prime factors of 676053769?
1867, 362107
What are the prime factors of 188281343?
193, 975551
List the prime factors of 71315465.
5, 13, 37, 2281
What are the prime factors of 4105910057?
17, 241524121
List the prime factors of 81516715.
5, 7, 23, 131, 773
List the prime factors of 104845560.
2, 3, 5, 89, 9817
What are the prime factors of 1196330650?
2, 5, 571, 41903
List the prime factors of 6057775077.
3, 113, 1579, 11317
List the prime factors of 87157575.
3, 5, 131, 2957
List the prime factors of 6186816046.
2, 23, 67, 2007403
List the prime factors of 2617176427.
29, 3061, 29483
List the prime factors of 6998362093.
19, 368334847
List the prime factors of 15127444.
2, 29, 130409
What are the prime factors of 1082899294?
2, 23, 79, 297991
What are the prime factors of 230907408?
2, 3, 41, 117331
List the prime factors of 10822939.
2069, 5231
What are the prime factors of 33328923?
3, 59, 188299
List the prime factors of 30838292.
2, 19, 405767
What are the prime factors of 199447680?
2, 3, 5, 73, 1423
What are the prime factors of 223926497?
107, 2092771
What are the prime factors of 342101027?
31, 11035517
What are the prime factors of 864948640?
2, 5, 443, 12203
List the prime factors of 317329459.
23, 71, 194323
List the prime factors of 1404816654.
2, 3, 761, 307669
What are the prime factors of 39969388?
2, 19, 525913
List the prime factors of 674609192.
2, 167, 504947
List the prime factors of 6806122848.
2, 3, 7, 19, 6581
What are the prime factors of 200170998?
2, 3, 1427, 7793
What are the prime factors of 2161721673?
3, 173, 719, 1931
What are the prime factors of 196446111?
3, 19, 101, 34123
What are the prime factors of 3086131909?
7, 440875987
What are the prime factors of 373823509?
373823509
List the prime factors of 1810464554.
2, 733, 1234969
What are the prime factors of 246962228?
2, 19, 137, 23719
List the prime factors of 5692387787.
21401, 265987
List the prime factors of 356370395.
5, 23, 3098873
List the prime factors of 1591424661.
3, 11467, 46261
List the prime factors of 34425868.
2, 1931, 4457
List the prime factors of 111569235.
3, 5, 19, 29, 13499
What are the prime factors of 24162265?
5, 151, 32003
What are the prime factors of 1636906543?
1636906543
List the prime factors of 559778271.
3, 13, 29, 71, 6971
List the prime factors of 51535330.
2, 5, 7, 11, 17, 31, 127
List the prime factors of 13990370.
2, 5, 1399037
What are the prime factors of 931140923?
19, 47, 163, 6397
What are the prime factors of 104858738?
2, 103, 509023
What are the prime factors of 162866186?
2, 7, 41, 47, 6037
List the prime factors of 330821300.
2, 5, 61, 193, 281
What are the prime factors of 4153805079?
3, 41, 33770773
List the prime factors of 96175974.
2, 3, 677, 23677
List the prime factors of 478329086.
2, 239164543
List the prime factors of 1164286285.
5, 12011, 19387
List the prime factors of 220005141.
3, 179, 409693
What are the prime factors of 272148946?
2, 59, 1031, 2237
What are the prime factors of 1439275856?
2, 101, 103, 8647
List the prime factors of 1850867017.
23, 43, 479, 3907
List the prime factors of 217969127.
47, 331, 14011
List the prime factors of 2158985697.
3, 11, 1777, 3347
List the prime factors of 2669638637.
2669638637
What are the prime factors of 1908508225?
5, 13, 83, 139, 509
What are the prime factors of 1064125449?
3, 29, 47, 223, 389
What are the prime factors of 666419761?
7, 257, 370439
What are the prime factors of 322633765?
5, 23, 2805511
List the prime factors of 198673106.
2, 107, 727, 1277
What are the prime factors of 2063636776?
2, 7459, 34583
List the prime factors of 1622346672.
2, 3, 33798889
What are the prime factors of 3551704694?
2, 19, 93465913
What are the prime factors of 105255983?
7, 47, 319927
What are the prime factors of 16949478?
2, 3, 7, 13, 37, 839
List the prime factors of 297851246.
2, 7, 11, 1934099
What are the prime factors of 290528096?
2, 17, 534059
What are the prime factors of 78537141?
3, 47, 199, 311
What are the prime factors of 147840393?
3, 61, 807871
List the prime factors of 1248946661.
16481, 75781
What are the prime factors of 114346795?
5, 937, 24407
What are the prime factors of 175847269?
13, 17, 53, 15013
List the prime factors of 90337687.
11, 8212517
What are the prime factors of 316267875?
3, 5, 7, 11, 1217
What are the prime factors of 638673310?
2, 5, 11, 5806121
List the prime factors of 66511074.
2, 3, 7, 467, 3391
What are the prime factors of 324678982?
2, 43, 97, 38921
List the prime factors of 58045258.
2, 41, 707869
What are the prime factors of 4527755163?
3, 17, 617, 47963
What are the prime factors of 79520994?
2, 3, 7, 71, 2963
What are the prime factors of 1117703190?
2, 3, 5, 37256773
What are the prime factors of 952314265?
5, 7, 31, 125387
What are the prime factors of 41658466?
2, 17, 439, 2791
List the prime factors of 1471799399.
7, 43, 61, 71, 1129
List the prime factors of 4943599066.
2, 7, 353114219
What are the prime factors of 2209039911?
3, 13, 6293561
List the prime factors of 169969033.
13, 13074541
List the prime factors of 3033841920.
2, 3, 5, 790063
List the prime factors of 6723098.
2, 41, 163, 503
What are the prime factors of 2267559049?
7, 53, 701, 8719
List the prime factors of 212286059.
212286059
List the prime factors of 220886770.
2, 5, 13, 1699129
What are the prime factors of 11055756?
2, 3, 179, 5147
List the prime factors of 154639865.
5, 30927973
List the prime factors of 23304631.
7, 3329233
What are the prime factors of 260206276?
2, 11, 449, 13171
List the prime factors of 2172555207.
3, 103, 2343641
What are the prime factors of 989667300?
2, 3, 5, 3298891
List the prime factors of 93379834.
2, 46689917
List the prime factors of 36548886.
2, 3, 11, 23, 24077
What are the prime factors of 173005889?
7, 17, 1453831
List the prime factors of 394092184.
2, 953, 51691
What are the prime factors of 354056879?
11, 523, 61543
List the prime factors of 509427262.
2, 254713631
List the prime factors of 61732601.
7, 1049, 1201
What are the prime factors of 21431593?
21431593
List the prime factors of 69270816.
2, 3, 721571
List the prime factors of 148388247.
3, 7, 785123
What are the prime factors of 6213270855?
3, 5, 11, 83, 631, 719
What are the prime factors of 31741130?
2, 5, 73, 43481
List the prime factors of 116303755.
5, 23, 337, 3001
What are the prime factors of 913291816?
2, 17, 109, 61609
List the prime factors of 87550636.
2, 3037, 7207
List the prime factors of 976575907.
89, 181, 60623
List the prime factors of 964519130.
2, 5, 2161, 44633
What are the prime factors of 61386887?
61386887
What are the prime factors of 170535513?
3, 4679, 12149
What are the prime factors of 396062353?
19, 71, 331, 887
List the prime factors of 538570123.
7, 13, 641, 1319
What are the prime factors of 602914501?
7, 86130643
What are the prime factors of 1084706336?
2, 7, 233, 2969
List the prime factors of 806769343.
806769343
List the prime factors of 164382921.
3, 18264769
List the prime factors of 88734404.
2, 11, 2016691
List the prime factors of 1681051431.
3, 560350477
List the prime factors of 376681.
29, 31, 419
List the prime factors of 1780083618.
2, 3, 296680603
List the prime factors of 45241315.
5, 7, 1292609
List the prime factors of 1809883966.
2, 11, 2087, 39419
List the prime factors of 30862511.
281, 109831
List the prime factors of 1171473227.
1171473227
What are the prime factors of 76203013?
647, 117779
What are the prime factors of 38863624?
2, 4857953
What are the prime factors of 53098489?
4093, 12973
What are the prime factors of 2202952134?
2, 3, 47, 1031, 7577
What are the prime factors of 174114028?
2, 11, 29, 136453
List the prime factors of 428138822.
2, 479, 446909
What are the prime factors of 1242795520?
2, 5, 83, 5849
List the prime factors of 540831565.
5, 1373, 78781
List the prime factors of 238387461.
3, 13, 421, 14519
What are the prime factors of 357378406?
2, 7, 11, 2320639
What are the prime factors of 89463108?
2, 3, 7, 1065037
What are the prime factors of 4669764 | {
"pile_set_name": "DM Mathematics"
} |
(4*p - p - 2*p)*(0*p - 2*p + p))*(-2 - 2*p + 2)*(-2*p + 3*p + 0*p).
2*p**4
Expand (-2 + 2 + 3*s**2)*((-1 - 2 + 2)*(2 - 1 - 3) + 1 + 2 - 1).
12*s**2
Expand (-3*n - 2*n + 4*n)*(-4 + 0 + 3)*(-1 + 1 + 3*n) + (n + 0*n - 2*n)*(3*n + 0*n - 4*n).
4*n**2
Expand -3*v + 0*v + 2*v + (-2 + 2 - 2 + (-2 + 0 + 0)*(0 + 2 - 1))*(4*v + 3*v - 3*v).
-17*v
Expand ((-1 + 7 - 1)*(3 - 3 - 2)*(5 - 1 - 2) + 1 + 1 + 0)*(3 + 2*g - 3).
-36*g
Expand (-3*g**2 - 3 + 3)*(10*g - 2 + 2)*(6 - 2 - 2).
-60*g**3
Expand (2 - 2 - 1)*(7*k**2 + 4*k**2 - 7*k**2) - 3*k**2 + 3*k**2 + k**2 + (-3*k - k + 5*k)*(3*k - k - 4*k) - 1 + 1 - 2*k**2.
-7*k**2
Expand 0*m**3 - 3*m**3 + 7*m**3 + (0*m**3 - m**3 - m**3)*(-2 - 3 - 7).
28*m**3
Expand (0 + 0 - q**2)*(-q - q - 3 + q) + 448*q**2 + 13*q**3 + 2 - 448*q**2.
14*q**3 + 3*q**2 + 2
Expand -2 - h**2 + 2 + (-6*h + 2*h + 3*h)*(-h + h + 2*h) + 7*h**2 - 5*h**2 + 0*h**2.
-h**2
Expand -2*o - 3 + 3 + (4*o - 2*o + 0*o)*(1 - 2 - 1) + 73*o - 61 - 68 + 126.
67*o - 3
Expand ((-2 + 0 + 0)*(m - 2 + 2) + 3*m - 3*m - 2*m)*((-4 + 0 + 3)*(2 + 1 - 2) - 2 + 3 + 1).
-4*m
Expand (0*x + x - 2*x)*(4*x - 4*x - 2*x)*(-1 - 3 + 7).
6*x**2
Expand (-24*n**2 + 18*n**2 - 194*n**2 - 24*n**2)*(3*n**2 + 0*n**2 - n**2).
-448*n**4
Expand (3*j**2 - j**2 + 0*j**2)*(-8 + j**2 - 2*j**2 + 7).
-2*j**4 - 2*j**2
Expand (2*n + 6 + 2*n**2 - 7 - 5*n**2)*(-1 + 1 - 2).
6*n**2 - 4*n + 2
Expand (2 - 2 - 2)*(-159*w + 159*w - 87*w**2).
174*w**2
Expand (p + p - 5*p - 2*p**2)*(-3 + 3 + p)*(-3*p - 3*p + 4*p).
4*p**4 + 6*p**3
Expand (3*z + 0*z**2 - 2*z**2 - 2*z)*(-1 - 2*z**2 + 1) + (-3*z**3 + 3*z**3 + 2*z**3)*(1 - 1 + z).
6*z**4 - 2*z**3
Expand 4*h**4 + 26*h - 26*h + (-4*h**2 - h**2 + 3*h**2)*(-2*h**2 + 5*h**2 - 5*h**2) - h**2 + h**4 + 3*h**4 - 3*h**4 + h**2 - h**2 - 2*h**4.
7*h**4 - h**2
Expand (-1 + 1 + 2*t**2)*(-1 - t + 1) + t**2 - t**2 + t**3 - 3*t**2 + 2*t**3 + 2 + 3*t**2.
t**3 + 2
Expand (-1 + 5 - 2*f - 3)*(0*f**4 + f - 2*f**4 + f**4).
2*f**5 - f**4 - 2*f**2 + f
Expand 3*o + 0*o + 9*o + (6 - 3 - 1)*(2*o + 2 - 2).
16*o
Expand (2*g**2 + 2 - 2)*((3*g + 0*g - 4*g)*(2*g - 2 + 2) - g**2 + 6*g**2 - 2*g**2 + (-g + 0 + 0)*(-1 - 2*g + 1)).
6*g**4
Expand (0*w + w - 3*w)*(-w**2 + w**3 + w**2) - w**4 - 3*w**4 + 2*w**4 + 2*w**4 - 2*w**4 + 7*w**4.
3*w**4
Expand 3*n**4 + 0 + 0 + (3*n**4 - 4*n**4 + 4*n**4)*(3 - 2 + 4).
18*n**4
Expand (3*g**2 - 4*g**2 + 0*g**2 - 3 - g**2 + 3 + (-2*g + g + 2*g)*(4*g - 4*g - g))*(0*g**2 - 3*g**2 - g**2).
12*g**4
Expand -o + 6*o - 2*o + (0*o + o + 0*o)*(-2 + 1 - 1).
o
Expand 30*o - 30*o - o**2 + (-1 + 1 - 1)*(4*o**2 - 4*o**2 - 2*o**2).
o**2
Expand (0 + 4 - 2)*(0*k**5 - 3*k**5 + 4*k**5) - k**5 - 39 + 39.
k**5
Expand (2*f**4 + f**4 + 0*f**4)*(0*f + 0*f + f).
3*f**5
Expand (-3 - 17 + 0)*(v**2 + 0*v + 0*v + (3 - 2*v**2 - 3)*(6 - 2 - 2) + v**2 - 2*v + 2*v).
40*v**2
Expand (0*b**2 - 4*b**2 + 0*b**2)*(2 - b**2 + 3*b**2 + 0).
-8*b**4 - 8*b**2
Expand (3 - 5 + 0)*(-2*l**2 + 0 + 0 - 2*l**2 + 4*l**2 - 6*l**2 + (-3 + 3 - 2*l)*(1 + l - 1) - l**2 + 2*l - 2*l - 2*l**2 - 2*l**2 + 3*l**2).
20*l**2
Expand (3*c**2 + 0*c**2 - 5*c**2)*(8 - 7 + 2 + 6*c).
-12*c**3 - 6*c**2
Expand (w**3 - w**3 - 2*w**3)*(0*w**2 + w**2 + 0*w**2) + 4*w**5 - w**3 + 2 - w**3 - 7*w**5.
-5*w**5 - 2*w**3 + 2
Expand (-l - 1 + 1)*(-l - l**4 + l) + (-3*l**3 - 5*l + 5*l)*(4*l - 4*l + 2*l**2).
-5*l**5
Expand (2*j**3 - j**3 + j**3)*(j - 3*j + 4*j) - 3*j**4 + 4*j**4 + 0*j**4 - j**4 - 10 + 19 + 3*j**4.
7*j**4 + 9
Expand (0*n**3 - 3*n**3 + 5*n**3)*(-2 - n + 2) + 8*n**3 - n**2 - 8*n**3 + 3*n**4.
n**4 - n**2
Expand (2*g**3 - 2*g**3 - 2*g**4)*(-3*g + 2*g - g) + 2*g**5 + g**4 - g**4 + (-2*g**5 + 12*g**5 - 3*g**5)*(-4 + 4 + 2).
20*g**5
Expand (0 + 4 - 2)*(-4*g + 3*g - 75 + 98).
-2*g + 46
Expand (3 + 3 - 2)*(3 + 1 - 6)*(3*s - 3*s + 2*s) + (4 - 4 - 2*s)*(-2 - 3 + 6).
-18*s
Expand 1 - 3 + l + 0*l + (-3*l + 2*l - l)*(-3 + 0 + 0).
7*l - 2
Expand (-b + 0*b - b)*(0*b**2 + b**2 + b**2).
-4*b**3
Expand (k**3 - 3*k**3 + k**3 + (-3 - 2*k**2 + 3)*(-2 + 2 + k) + k**3 + 2*k - 2*k)*(4 + 0 + 0)*(5 - 2 + 0).
-24*k**3
Expand (4*r - 5*r + 0*r)*(-2*r - r + 5*r)*(-6 - 3 - 3).
24*r**2
Expand (0*j + 2*j + 0*j)*(-31 - 24 + 31)*(-j + j + j).
-48*j**2
Expand (0*y**2 + 0*y**2 + 3*y**2)*(-3 - 1 + 1).
-9*y**2
Expand (3 - 4 - 1)*(-1 + 2 + 1)*(5 - 5 - y).
4*y
Expand 5*l**5 + 3*l**4 + 0*l**5 - l**4 - 2*l**5 + 4*l**5 + 0*l**5 + (0 + l + 0)*(2*l**4 + l**4 - 2*l**4) + 2*l + 2*l**5 - 2*l.
10*l**5 + 2*l**4
Expand (1 - 3*p - 1)*(6 + 3 - 3).
-18*p
Expand -x**4 - 3*x**4 + 5*x**4 + (2*x - 2*x**3 + 7*x + 0*x)*(0*x - 3*x + x).
5*x**4 - 18*x**2
Expand 4*g**5 + 3*g**5 - 2*g**5 - g**5 - g**5 + g**5 + (-3 + 2 + 0)*(2*g**5 + 0*g**2 + 0*g**2).
2*g**5
Expand (-1 - 3 + 0)*(4*g + 9 + 4*g - 7*g).
-4*g - 36
Expand (-3*k**5 + 4*k**5 - 2*k**5)*(-4 - 1 + 12).
-7*k**5
Expand (13*u + 1 + 2 - 11*u + (-1 + 0 + 2)*(3*u + u - 5*u))*(2 + 0 - 2*u + 0).
-2*u**2 - 4*u + 6
Expand (-3*s + 3*s - 2*s)*(-4*s - 5*s + 5*s) + (3 - 2*s - 3)*(4*s + s - 3*s).
4*s**2
Expand (3 + 2*u - 2 + 2*u)*(6*u + 0*u - u).
20*u**2 + 5*u
Expand (3 + 3*i - 3)*((-5*i**4 + i**4 + 3*i**4)*(-5 + 3 + 1) + 4*i**4 + 1 - 1).
15*i**5
Expand (0 + 1 - 2)*(4*g + 0*g - 2*g) + 0*g + 3*g - 4*g - 2*g + 2*g - 2*g.
-5*g
Expand (-2*z - 4 - 1 + 2)*(0 + 0 - z)*(0*z + 0*z - 2*z).
-4*z**3 - 6*z**2
Expand -o**4 + o**4 + 2*o**4 - 2*o + 2*o**4 + 2*o + o - 2*o**4 - o + (4 - 1 - 1)*(-2*o**4 + 4*o**4 + 0*o**4) + 4 + 2*o**4 - 4 + 3*o**2 + 3*o**4 - 3*o**2.
11*o**4
Expand (-3 + 0 - 2)*(-4 + 3 + 2)*(1 - 5 + 3)*(4*h + h**3 - 4*h).
5*h**3
Expand (8 - 14*t - 8)*(0 - t + 0).
14*t**2
Expand (-4*w + 4*w - w)*(-3 - 2 + 12) + 6*w - w - 4*w.
-6*w
Expand -2 + 5*a**2 - 7*a**2 + a**2 + (-3*a + 0*a + a)*(-a + 0*a + 0*a).
a**2 - 2
Expand (0*o + 5*o - 4*o)*(-7*o + 2*o + 0*o) - 5*o**2 + 2*o**2 + 4*o**2 + (3*o - 2*o + 0*o)*(3*o + 2*o - 3*o).
-2*o**2
Expand (7 - 7 + 5*g)*(g**4 - 3*g**4 + 4*g**4) - 6*g**5 + 0*g**5 - 2*g**2 + 4*g**5.
8*g**5 - 2*g**2
Expand (7*y**3 - 3*y**3 - 2*y**3)*(-y**2 + 3 - 3) + 2*y**5 - 5*y**5 + y**5 + 3*y**5 - y**5 + 0*y**5 - 11*y + 11*y + 8*y**5.
6*y**5
Expand (-2*r**3 - r**3 + 0*r**3)*(-1 + 5 - 2)*(3*r + 0*r + r).
-24*r**4
Expand (q**2 + 9 - 9 - 7*q)*(-q**3 + 2*q**3 - 2*q**3).
-q**5 + 7*q**4
Expand -2*y**5 + 3 - 3 + (-2*y**2 + y**2 + 2*y**2)*(-2*y**3 + 3*y**3 + 0*y**3) + 0*y**2 + 0*y**2 + 2*y**5 - y**5 + 0*y**5 + 3*y**5 - y**5 - 2*y**3 + 2*y**3.
2*y**5
Expand 2*z**5 + 0*z**5 + 4*z**5 + (2 - 1 - 2)*(-2*z**5 + z - z).
8*z**5
Expand -2*a**5 - 4*a**5 + 5*a**5 + (-1 + 2 - 2)*(a**5 - a**5 + a**5).
-2*a**5
Expand (-1 + t + 0 + 3)*(4 - 2 - 3 - t).
-t**2 - 3*t - 2
Expand (7*w + 6*w - 4*w)*(2 - 2 + 2*w + (-5*w + 5*w - 2*w)*(1 - 5 + 2)).
54*w**2
Expand (2*w + 3*w - 6*w)*(-9*w**4 + 22*w**3 + 28*w**3 - 2*w - 52*w**3).
9*w**5 + 2*w**4 + 2*w**2
Expand (1 - 1 + 2*x**4)*(2 + 0 + 0) + (-4*x**2 + 4*x**2 - x**2)*(-4*x**2 - x**2 + 3*x**2).
6*x**4
Expand (-1 - 2*i + 1)*(-i - i + 4*i) + 0*i**2 - i**2 - 4*i**2 + (-3*i + i + 3*i)*(0*i - i + 0*i).
-10*i**2
Expand -60*s**3 - 287 + 287 + (0 + 0 - 2*s**2)*(-2*s + 5*s - s).
-64*s**3
Expand (1344*w**5 - 21*w**4 - 30*w**4 + 2*w**3 - 1346*w**5)*(0 + 2 + 0).
-4*w**5 - 102*w**4 + 4*w**3
Expand -3*t**2 - 2*t**2 + 6*t**2 + (-2 + 2 + 2*t)*(-2*t - 2*t + 2*t) + 74*t + 2*t**2 - 74*t - 14.
-t**2 - 14
Expand (-2*v - 2 + 2)*(26 - 26 - 5*v) - v**2 - v - v**2 + 0*v.
8*v**2 - v
Expand (105*r**3 - 16*r**4 - 105*r**3)*(-2 + r + 2 - 4*r + 3*r + 0*r + (-r + 7*r - 4*r)*(-4 + 3 - 1)).
64*r**5
Expand -1 + 1 + 2*n**2 + (1 + 2*n - 1)*(2*n - n - 4*n) - 6*n**2 + 4*n**2 + n**2 - n**2 + 2*n**2 + 0*n**2.
-4*n**2
Expand ((4 - 3 - 3)*(4 + 1 - 3) - 3 + 0 + 5)*(0*p - 2*p - p).
6*p
Expand -4*o**3 - o**5 + 4*o**3 + (7*o**3 - 4*o**4 - 7*o**3)*(o - o + 2*o).
-9*o**5
Expand (2*z - 3*z - z)*(-2*z**2 + 2*z**2 + 3*z**3) + (0*z**2 + z**2 + z**2)*(-2*z**2 + z**2 + 2*z**2).
-4*z**4
Expand 4*o - 4*o + 3*o**4 + (-1 - 3*o + 1)*(-2*o + 2*o - 2*o**3) - 3*o**4 - 3*o**4 + 2*o**4.
5*o**4
Expand -5*o**2 + 4*o**2 - 3*o**2 + (5 + 0 - 4)*(-o**2 + 2*o**2 + 0*o**2) + 1 + o**2 - 1 - 2*o - 109 - o**2 - 2*o**2 + 108 + o**2 + o**2 + 0*o**2.
-3*o**2 - 2*o - 1
Expand (9 - 5 + 8)*(3 - 3 - 2*w).
-24*w
Expand (-5 - 4*t**3 + 5)*(2*t + 3 + 9 - 1).
-8*t**4 - 44*t**3
Expand (2*l - 2*l - 2*l**3)*(2 - 5 - 495*l + 477*l).
36*l**4 + 6*l**3
Expand (o**4 + 3*o - 3*o + 0*o**4 - o**4 + 0*o**4 + (-2*o**2 - 2*o**2 + 3*o**2)* | {
"pile_set_name": "DM Mathematics"
} |
1*c + 5 for u.
-6
Solve -a = -v + 1, 2*v + 12715 - 12714 = -a for v.
0
Solve 4*k + 85*c - 84*c = 28, -5*k = -3*c + 84 for k.
0
Solve -363*j = -351*j + 36, 4*r + 4*j + 32 = 0 for r.
-5
Solve 5*z = -2*p - 13, 9324*z - p - 5 = 9325*z for z.
-1
Solve 0 = 89800*m - 89804*m - 6*r + 14, -4*m + 5*r - 19 = 0 for m.
-1
Solve -11 = 4*l + 5*x, -15*x + 7*x + 85 = -5*l for l.
-9
Solve 0 = -2*q + 3*z - 9, 3*z - 24 = 14876*q - 14879*q for q.
3
Solve 5*g - 1083*j = -1081*j + 53, 4*j + 7 = -g for g.
9
Solve -46 = -5*d - 4*b, 68*b + 20 = 4*d + 67*b for d.
6
Solve 4*u - 8 = 203*p - 206*p, -4*p + 15 = u for p.
4
Solve 0 = -2*h - 3*z - 43, 1102 = -9*h + 5*z + 1186 for h.
1
Solve -3*d - 2*p - 12 = 0, -5*p + 39915 = 39900 for d.
-6
Solve -34*f - 2 = z - 33*f, -2*f = 0 for z.
-2
Solve 3*k + 4 - 3 = -a, -1106*a = -1117*a - 2*k + 20 for a.
2
Solve 4*v - 164 = -29*o, -v + 605 = -4*o + 609 for v.
12
Solve -807*m = -2*g - 805*m + 18, -2*g = 2*m + 10 for g.
2
Solve 0 = -2*i + 50*o - 95*o + 50*o - 6, o + 3*o = 0 for i.
-3
Solve 2*y = 5*q - 16, -125 = 5*q - 9*y - 162 for q.
2
Solve s - 44 = 4*f, -11 = -29*s - 27*f + 28*f for s.
0
Solve 3*f - 3*d - 3 = 0, -689*d + 690*d + 26 = 6*f for f.
5
Solve -3*m = -5*d + 28, -293*m = -294*m + d - 6 for m.
-1
Solve -4*k + 2*f + 30 = 0, -5*f + 497 = -k + 518 for k.
6
Solve -5*s + 19 = 449*n - 448*n, 4*s = -n + 15 for s.
4
Solve -3*b = 62*m - 59*m, -4*b + 27 = -5*m for b.
3
Solve -c + 2 - 6 = 0, -29*y + 25*y + 2*c = 0 for y.
-2
Solve 57*c = -l + 52*c - 18, 26 = 5*l - 4*c for l.
2
Solve -28039*j - 49 = -4*n - 28038*j, -1 = j for n.
12
Solve 13*p = 18*p - 10, -5*o + 20 = 5*p for o.
2
Solve 6*i - 16 = 2*i - 5*j + 4, -8*i - 20 = -5*j for i.
0
Solve 0 = 3*r - 3*q - 12, 0 = -73*r + 68*r - 4*q - 25 for r.
-1
Solve -772*m + 4*c + 8 = -776*m, -2*m = 5*c + 10 for m.
0
Solve -q + 9 = 36692*b - 36690*b, -b - 56 = -5*q for b.
-1
Solve 0*t - 9*i + 47 = 5*t, 0 = -4*t - i + 19 for t.
4
Solve 0 = 4*m + 5*d - 47, -578*d + 570*d = 4*m - 44 for m.
13
Solve -4*s = 21*a - 19*a, 0 = 2*s - a - 4 - 0 for s.
1
Solve -5*s + j = 24, 3358*s + 30 = 3360*s + 4*j for s.
-3
Solve u - 2*f - 26 = -25 - 18, -3*u = -f + 26 for u.
-7
Solve -4*y - 64 = -7*d - 26, 2*y = 2*d - 10 for y.
1
Solve 3*u - 18 = 15187*w - 15190*w, 3*u - 9 = 0 for w.
3
Solve 471*g = 472*g - 3*a - 2, 0 = -2*g - 5*a + 15 for g.
5
Solve -x + 4 = -3*h + 4*h, -427*h - 3 = -430*h for x.
3
Solve 6*l = 29*i - 30*i + 70, -5*l = -4*i - 39 for i.
4
Solve k = 0, 23*v + k - 23 - 77 + 8 = 0 for v.
4
Solve 2*x + 62 = 3*i, -5762*i - x = -5757*i - 86 for i.
18
Solve -3*r + 164 - 89 = -3*s, 4*r - 5*s = 99 for r.
26
Solve 0 = 7*y - 2*h - 45, 186 - 196 = 3*y + 5*h for y.
5
Solve 2966*t - 10 = -k + 2962*t, 4*k - 4*t + t + 17 = 0 for k.
-2
Solve 5*d + 14*c = 9*c + 40, 0 = 4*d - 2*c - 44 for d.
10
Solve 0 = -o + 2*u - 27 + 42, 3*o - 10 = -u for o.
5
Solve 13852*b - 3*h = 13854*b - 16, 2*h - 6 = b for b.
2
Solve s = -f + 3, 6*s = 2*s - f + 6 for s.
1
Solve -35*t = -32*t + 5*c - 51, -2*t + 2*c - 14 = 0 for t.
2
Solve y + 2521*r = 2522*r, -4*r = 0 for y.
0
Solve 25*c - 30*c = 2*g - 37, -c + 5 = -2*g for g.
1
Solve 149*u - 147*u + 14 = 5*t, -20 = -4*u - 2*t for u.
3
Solve z - 3998 + 3995 = 4*c, 2*z = -c + 6 for z.
3
Solve 1025*t = -3*l + 1017*t + 31, 2*t + 6 = 2*l for l.
5
Solve -25 = 214*w - 219*w + 2*s, -4*w + 3*s = -20 for w.
5
Solve -3*b + c + 4 = 0, 0 = -5*b - 2*c + 278 - 253 for b.
3
Solve 2*r + 18 = 111*q - 108*q, -4*r - 18 = -3*q for r.
0
Solve 95*b - 68*s - 26 = -70*s, 4*b + 5*s - 65 = 0 for b.
0
Solve 0 = -j - 4 + 3, 4*j - 3*j = -o for o.
1
Solve -3*x - 2*h = 0, 762*x + 3*h - 2 = 759*x + 1 for x.
-2
Solve 0 = p - 3*u + 3, -6*p + 7*p + 5*u = 29 for p.
9
Solve -168*n + 163*n = -5*t - 25, -5*t + 5 = 0 for n.
6
Solve -n + 8 + 17 = 3*f, -3*n + 3*f = 9 for n.
4
Solve -3*b + 2*o = 2, -5*o - 505 + 510 = -4*b for b.
0
Solve 2*v + 28 = -6*u, -u - 3*v - 279 = -261 for u.
-3
Solve 100 = 3*w - 4*g + 93, -3*g = 4*w + 24 for w.
-3
Solve 186*x + 29 = 191*x + i, 2*x - 35 = -3*i for x.
4
Solve -4*s = -2*u + 14, 340*u = -338*u + 683*u - 3*s for u.
-3
Solve x + 4*n - 28 = 0, -n = 3*x + 80 - 98 for x.
4
Solve 44 = -5*b - 12*q, -5*q = -36 + 46 for b.
-4
Solve -3*n + 3*x = -21, 290*n - 294*n - 2*x = -28 for n.
7
Solve 5*b - 6 = -m + 5, -3*m = -7*b + 33 for m.
-4
Solve 11 = -s - 2*q + 5*q, 3*s + 17 = 5*q for s.
1
Solve 5*w + 19 = 3*s, -992*w = -2*s - 993*w - 9 for s.
-2
Solve -4*a + 37 = 3*n, -50*a = -51*a + 4*n - 24 for a.
4
Solve -4*p - 2*i + 24 = 0, -47 = -8*p - i - 5 for p.
5
Solve -20*n = -2*z + 10, -3*z = -n - 0 - 15 for z.
5
Solve -2*o + 49 = -3*h - 7*o, 3*h = -2*o - 34 for h.
-8
Solve -2*n = -176*j - 504, 0 = -2*j - 10*n + 5*n - 66 for j.
-3
Solve -8*g + 4*g - 2*s + 12 = 0, -g + 2*s = -8 for g.
4
Solve -x + 425*w - 420*w + 21 = 0, -3*x - 3*w = 9 for x.
1
Solve 188*h - 199*h - 3*i - 88 = 0, 0 = -4*h + 4*i - 32 for h.
-8
Solve 3*t + 201*p = 199*p + 29, 0 = -5*t - 5*p + 45 for t.
11
Solve q - 9 = 3*o, -5*q + 13*o - 11*o - 20 = 0 for q.
-6
Solve 3*g + 95*f = 93*f + 10, 2*f = 4*g + 10 for g.
0
Solve -4*f - 60 = -4*q, 1194*q - 1189*q + 2*f - 47 = 0 for q.
11
Solve -1137*z + 18 = -1142*z + p, -2*p = 5*z + 24 for z.
-4
Solve -22*k - 100 = -0*k - 4*u, -2066*k + 2070*k + 4 = -4*u for k.
-4
Solve 4*i = c + 13, 190*c - 5*i - 5 = 193*c for c.
-5
Solve -4*b - 14 = -57*m + 56*m, 3*m + 22*b = -94 for m.
-2
Solve 95 = -5*l + 5*c, -2*l - 22 = -5*c + 25 for l.
-16
Solve -33 = l + 3*h - 19, -3*h = -2*l - 1 for l.
-5
Solve 0 = 5*s - u + 10, -s - 106*u - 2 = -104*u for s.
-2
Solve 0 = -2*q - 2*i, 124*q + 114*i - 113*i + 492 = 0 for q.
-4
Solve 3*o = 5*o + 7 + 1, 0 = 2*v + 5*o + 10 for v.
5
Solve -3*c - 36 + 45 = -3*v, 5*v = -3*c - 55 for v.
-8
Solve -4*q + 131 = -i + 125, 4*i = -8 for q.
1
Solve -87*y + 37 = -83*y - 5*p, 5*p + 45 = 5*y for y.
8
Solve l - 8 = -5*v, v + 2*l + 55 - 53 = 0 for v.
2
Solve 81 = m + 5*w, -5*m + 12*w = 13*w + 3 for m.
-4
Solve -3*y = 5*f + 31, -69*f = -65*f + y + 8 for f.
1
Solve -16 = 4*b + u, -2*b + 2921*u + 10 = 2917*u for b.
-3
Solve 87*t - 86*t + 29 = 4*y, 5*t + 5*y - 55 = 0 for t.
3
Solve 2*l - 235*o = -231*o + 30, 0 = 5*l - 2*o - 51 for l.
9
Solve 0 = v + 4*z - 7, 1457 - 1454 = -v + z for v.
-1
Solve -s = 3, -34*p - 3*s - 24 = -37*p for p.
5
Solve 2*d = -2*k + 10, 0 = -30*k + 29*k - 4*d + 5 for k.
5
Solve 2*f = -3*x + 23, -14*x - 2*f - 97 = -153 for x.
3
Solve 0 = 2*o - 4, -16*j + 112 = 8*j - 4*o for j.
5
Solve 5*b - 75 = -5*x, 5*b = -x + 30 + 5 for x.
10
Solve 3*m + 773*w - 769*w + 59 = 0, m = 2*w - 3 for m.
-13
Solve -4*r = -2*l + 5108 - 5092, r + 10 = -l for r.
-6
Solve -2 = -f, -4*k - 3*f + 26 = 32 for k.
-3
Solve -186*h + 3*k - 29 = -182*h, -3*k = -2*h - 19 for h.
-5
Solve 2*s - 20*y + 25*y + 27 = 0, 4*s = -21*y - 109 for s.
-1
Solve 5*i + 19 = -y, i + 0*y + 2*y + 2 = 0 for i.
-4
Solve -3*b = 3*p - 12, -4*p = 5*b + 709 - 728 for p.
1
Solve 5 = -g - c, -925*g + 2*c + 10 = -928*g for g.
0
Solve -61*u + 17 = h - 56*u, 0 = -2*u + 6 for h.
2
Solve 4*u = -5*f + 33, -8558*u - 7 = -8554*u - 3*f for u.
2
Solve 2*q - 5 = 3*z, -144*z + 149*z + 4 = -11 for q.
-2
Solve -6 = -2*x - 35*q + 39*q, 5*x + q + 29 = 0 for x.
-5
Solve 0 = 2*g - 3*n, 1942*g = 1953*g - 5*n - 23 for g.
3
Solve -b = 4*y + 11, 40*b - 39*b - y = -1 for b.
-3
Solve -28*v + 25*v - u = 5, -8 = -2*v + 5*u for v.
-1
Solve -3*w = 5*b + 20, 586*b = 2*w + 591*b + 20 for w.
0
Solve -310*m - 3*a = -308*m + 19, -4*m + 2*a = 14 for m.
-5
Solve -5*m = -5*c - 55, 126*c + 4*m - 74 = 124*c for c.
5
Solve 3*n - 2*p = 7, 4*n + 100*p - 99*p = 24 for n.
5
Solve -5*w - 3*i - 62 = 0, 24 = -w - 19*i + 30 for w.
-13
Solve 12 = -2*t + 3*g, 64*t = 78*t - 5*g + 84 for t.
-6
Solve 0 = -2*r - 10, -t = -10*r + 9*r - 10 for t.
5
Solve -n = -3*u - 11, -20*n + 19*n - 5 = 5*u for u.
-2
Solve -2*b + 2*r = 10, -8*r + 12*r - 17 = 3*b for b.
-3
Solve 5*j + 26 = -466*t + 462*t, 2*t - j + 6 = 0 for t.
-4
Solve -o + 67 - 67 = 0, 4*o - 6 = 6*j for j.
-1
Solve 183 = -4*x - 4*z + 171, -2*x + 6 = -2*z for x.
0
Solve 5*g - 2*q = -8 - 4, -44 = 13*g - 2*q for g.
-4
Solve 51*u + 28 = 4*i + 46*u, -u = 4 for i.
2
Solve -q + 14 = 3*j, -5*j + 35 = -14117*q + 14121*q for q.
5
Solve 61 = -2*n - 29*v + 30*v, -v = 5 for n.
-33
Solve 3*c + 198*k - 18 = 195*k, -k - 9 = -2*c for c.
5
Solve 214*u - 219*u - 35 = -5*c, 4*u | {
"pile_set_name": "DM Mathematics"
} |
- 5*w = 493 + 222, -c - 5*w = -143. Calculate the lowest common multiple of c and 4.
572
Suppose 66550 = 4*q - 3*q - 4*b, -5*q + 4*b + 332686 = 0. Let i be (q/180)/((-2)/(-18)). Let o = i - 3331. What is the common denominator of o and -5/6?
30
Let z = -1/5413 + 286900/59543. Calculate the common denominator of (18/(-36))/((-2)/(-50)) and z.
22
Let q = 159 + -157. Calculate the smallest common multiple of 6 and q.
6
Let b = -12 + 14. Suppose -b*p + 3*j = -4*p + 2, j = p - 1. Suppose 2*y + 12 = 2*x, 2*y - p = y. What is the least common multiple of 24 and x?
168
Let r = 15 + -17. Let l(f) = f**3 + f**2 - f + 2. Let y be l(r). Suppose 15 = 5*g, y*b - 2*b - 5*g = -55. What is the smallest common multiple of 4 and b?
20
Let t(o) be the second derivative of -o**4/12 - 11*o**3/6 - 2*o**2 - 3*o. What is the least common multiple of 22 and t(-8)?
220
Let m = -111797/3408 - -2514/71. Find the common denominator of m and -145/36.
144
Suppose -14*w + 2052 = -874. What is the lowest common multiple of w and 114?
1254
Let o = 11566/399 - 482/19. Calculate the common denominator of 149/636 and o.
4452
Suppose -5*g + 0*g + 3*o - 87 = 0, -5*o + 85 = -5*g. Let a = 23/131 - 4567/2882. What is the common denominator of a and ((-69)/(-4))/(g/12)?
22
Let y(m) = 6*m - 30. Let f be y(9). Suppose -14*j - f = -18*j. What is the smallest common multiple of 7 and j?
42
Let x = -1803/299 - -6487777/568698. Let c = x + -18/1585. Calculate the common denominator of 28/27 and c.
270
Let f be (6/4)/(27/(-18)). Calculate the common denominator of 917/(-308) + (-3)/f and -85/18.
396
Let q = 9577/5 + -345017/180. Calculate the common denominator of -64/9 and q.
36
Find the common denominator of (6/(-8))/((-84)/(-91)) and (-143)/(-14) + -3 - 1.
112
Suppose -n = 2*w - 20, w - 112 = -5*n + 3*w. Let d(s) = s**2 - 20*s - 32. Calculate the least common multiple of d(n) and 24.
24
Let t = -821 + 833. Calculate the smallest common multiple of 24 and t.
24
Calculate the common denominator of -103/322 and (-364)/(-24)*(-6)/(-4).
644
Suppose -4*f + 74 = 2*c, 4*f + c + 2*c - 75 = 0. Suppose -2*h - 2*a + 4 = -12, 3*h - 4*a = 52. What is the least common multiple of h and f?
36
Let m = 7312699/128 - 57131. Calculate the common denominator of 5/2 and m.
128
Let v = 794 - 1377. Let q = 5315/9 + v. Calculate the common denominator of q and -95/2.
18
What is the common denominator of 1 + 4/10 + 1118/(-270) and (0 + (-38)/18)/(8/6)?
108
Let w be 2/(-2)*(-20 - -12). Calculate the common denominator of 55/9 and (404/24)/(w/12).
36
Let h = 48 + 15. What is the lowest common multiple of h and 90?
630
Suppose -15*f = -13*f + 4*n - 100, -2*f + 4*n = -100. Calculate the smallest common multiple of f and 12.
300
Suppose 37 = 6*x + 1. What is the least common multiple of 6 and x?
6
Suppose 0 = h - 2 - 3. Suppose 0 = -s - 4*s, -66 = -3*d - h*s. Calculate the least common multiple of 18 and d.
198
Let g be (-1 + 10)/(-1) - 0. Let b = -17 + 29. What is the lowest common multiple of b and -3*((-3)/g + -1)?
12
Let u(g) be the third derivative of -g**5/30 + g**4/2 - g**3/3 + 6*g**2. Let m be u(13). Calculate the common denominator of (6/(-16))/(10/m) and -31/20.
20
Suppose 2*g + g + 4*w - 11 = 0, -3*w = -4*g + 48. Let m be (-21)/(-9)*-19*-3. Calculate the common denominator of -11/12 and m/30 + g/(-3).
60
Suppose -4*k - 2473 + 2581 = 0. What is the lowest common multiple of 9 and k?
27
Suppose -l - 19 + 168 = 0. Suppose 17*i = -l + 693. Calculate the least common multiple of 20 and i.
160
Suppose -356 = -5*r + 129. Suppose u + i - 19 = -0*i, -r = -4*u + 3*i. What is the smallest common multiple of 20 and u?
220
Let a = -17/4630135 - 687820442751/518575120. Let f = 9243/7 + a. What is the common denominator of f and 31/54?
432
Let y = 57 + -55. Suppose -b - 15 = 4*b. Let l = b + 4. Calculate the smallest common multiple of l and y.
2
Let t = 396 + -220. Suppose t = 3*d + d. What is the least common multiple of d and 11?
44
Let k be 68 + (-4)/8*-2. Suppose k = l + 4. Find the common denominator of 3 - -1 - l/40 and -5/2.
8
Let y(r) = -r**2 - 9*r - 8. Let l(v) = 2*v**3 + 3*v**2 - 4*v + 2. Calculate the lowest common multiple of l(2) and y(-6).
110
Let x = -4991/9 + 3942539/7110. Find the common denominator of 3/2 and x.
790
Suppose -2*h = -0 - 6. Suppose -4*j - 1 = -4*l - 5, 0 = -2*j + l + h. What is the least common multiple of ((-2)/2 + 0)*-4 and j?
4
Let o = 349/2 - 188. Find the common denominator of -83/5944 and o.
5944
Suppose -13*m + 10*m = 6. What is the common denominator of m/8 - 1239/(-196) and (-1 - (-3)/2)*-57?
14
Suppose 0 = -2*u - i - 19, 2*u + 5*i - 2*i + 9 = 0. Find the common denominator of (-3)/u - (-195)/24 and -43/9.
72
Let u = 2462417/4653 + 6/517. Let y = u + -1053/2. What is the common denominator of -39/10 and y?
90
Let o = 15699825/496 - 31653. Find the common denominator of -43/12 and o.
1488
Let a(c) = -c**2 + 13*c + 11. Let q be a(14). What is the common denominator of (-67)/6 - 3/q and (9/(-28))/(4/(-48))?
42
Let z(v) = 10*v - 31. Calculate the common denominator of z(0) and -1/3.
3
Find the common denominator of 3 + 0 + 606/(-252) and -71/35.
210
Let p(h) = -6*h**2 - 5*h + 9. Let o be p(-4). Let g = o - -73. What is the lowest common multiple of 20 and g?
60
Let b = 11 + -12. Let n = b + 7. Calculate the lowest common multiple of (8/(-24))/((-1)/6) and n.
6
Let q be 2630/18 - (-14 - -16). Let y = q + -13681/90. What is the common denominator of y and -2 + (-3)/30*43?
10
Let u be 2/3 - (-2147)/(-21). Let p = 3755/42 + u. Find the common denominator of (-2)/(-8) - 930/(-200) and p.
30
What is the common denominator of -37/75 and 11*(-91)/(-7700)*14/5?
750
Let p = 115 - 70. What is the least common multiple of 35 and p?
315
Let t = 32 + -28. Suppose -t*v - 10 = -5*v. Calculate the least common multiple of v and 8.
40
Let p = 13 - 11. Calculate the common denominator of 411/36 - (1 - p/6) and 31/18.
36
Suppose 7*p - 432 = -p. Suppose 3*j + 5*a = -j + 147, -2*j + 4*a = -p. Find the common denominator of -15*((-58)/36 - 0) and j.
6
Let v = -444 - -464. What is the smallest common multiple of 774 and v?
7740
What is the lowest common multiple of (30/(-40))/(-1*(-6)/(-3216)) and 15?
2010
Suppose -4*u = -2*l + 26, -4*l - 3 = -0*u + 3*u. Find the common denominator of 1 + -1 + 180/28 and 8 + u + 93/6.
14
Let t(r) = 2 - 2 + 495*r + 344*r + 8. Let y be t(-6). Let j = -50331/10 - y. What is the common denominator of j and 1/10?
10
Let o(r) = 1741*r - 7. Let l be o(-5). Let h = 52151/6 + l. Let t = 6275/4 - 1578. What is the common denominator of h and t?
12
Let l be (4/6)/(8/24). Let n(u) = -3 + 3 + u**3 + 6*u**l + 3. Calculate the least common multiple of n(-6) and 3.
3
Suppose -y + 6*y + 5825 = 0. Let f = y - -16285/14. Find the common denominator of f and (2/(-7))/(56/(-8134)).
14
Let v = 11 + -7. Let k be -7*-3*(-40)/(-84). What is the least common multiple of 2/k - 236/(-20) and v?
12
Suppose -2048 = -12*u + 4*u. Suppose 9*c - u = c. Find the common denominator of 57/20 and (-8)/c - 530/(-24).
60
Suppose 5*b = -0*b + 2*i + 249, -2*b - 2*i = -94. Let y = b - 27. What is the lowest common multiple of y and (-15 - -1 - -2)*-1?
132
Let n = -378/13 - -4233/104. Let c = -850656 + 7679024/9. Let r = c - 2562. Calculate the common denominator of r and n.
72
Find the common denominator of ((-40)/(5/(-1)))/453 and 131/24.
3624
Let i = 11 + 16. Let c = -173 - -182. Calculate the smallest common multiple of c and i.
27
Find the common denominator of 43/175 and (-1 - -3)*(-8)/(-2 + -22).
525
What is the common denominator of (2/72*-1)/(2/(-129)) and 127/48?
48
What is the common denominator of -4 + (-46)/(-18) + -1 and 35/417?
1251
Suppose 5*y - 20 - 20 = 0. Find the common denominator of 27 and y + -4 + 18/16.
8
Suppose -2*i = 2*i + 2*y - 36, 0 = 4*i + y - 40. Let c(a) = -a**3 + 12*a**2 - 11*a + 9. Let x(m) = -m + 1. What is the lowest common multiple of c(i) and x(-3)?
36
Let z(a) = -a**2 - 32*a - 79. Calculate the lowest common multiple of 414 and z(-29).
1656
Let p = 205693/33 + -6234. What is the common denominator of p and 23/9?
99
Let t(y) = 2*y**3 - y**2 + 2*y + 2. What is the smallest common multiple of t(2) and 30?
90
Suppose -134 = 2*h - 8. Let d = h - -65. Calculate the lowest common mu | {
"pile_set_name": "DM Mathematics"
} |
late the highest common factor of 11167 and 3744.
13
Calculate the greatest common factor of 1243 and 58751.
11
Calculate the highest common divisor of 51585 and 724.
181
What is the greatest common factor of 40 and 293390?
10
Calculate the greatest common divisor of 54514 and 13488.
562
What is the highest common divisor of 3856619 and 26?
13
What is the greatest common divisor of 391 and 84507?
17
What is the highest common factor of 3 and 70011?
3
What is the greatest common factor of 70533 and 459?
153
What is the highest common factor of 729650 and 50?
50
What is the highest common divisor of 277 and 19?
1
Calculate the greatest common divisor of 243 and 19773.
9
What is the greatest common factor of 754 and 106546?
58
Calculate the highest common divisor of 1656 and 12213.
207
What is the highest common divisor of 199234 and 5782?
98
Calculate the highest common divisor of 2451 and 2623.
43
Calculate the highest common factor of 37486 and 6.
2
What is the highest common divisor of 5452696 and 2204?
2204
Calculate the greatest common divisor of 420 and 909020.
140
What is the greatest common factor of 1149208 and 8?
8
What is the highest common factor of 48764 and 1168?
292
What is the greatest common factor of 23088 and 1664?
208
Calculate the greatest common factor of 7572 and 3600.
12
What is the highest common factor of 1463 and 843106?
209
What is the highest common factor of 1928 and 5303446?
482
Calculate the highest common factor of 987019 and 106.
53
What is the highest common divisor of 6714 and 16?
2
Calculate the greatest common divisor of 61932 and 390.
78
Calculate the highest common factor of 888 and 42750.
6
What is the greatest common divisor of 149553 and 1827?
261
What is the greatest common factor of 112 and 4599?
7
Calculate the greatest common divisor of 410 and 214594.
82
What is the greatest common factor of 10509 and 129837?
339
What is the greatest common factor of 12871 and 4853?
211
What is the greatest common divisor of 172 and 51643?
43
Calculate the greatest common factor of 218373 and 249.
249
What is the greatest common factor of 135805 and 346?
173
What is the highest common factor of 98100 and 6?
6
What is the highest common factor of 52070 and 9020?
410
What is the greatest common divisor of 21096 and 128?
8
Calculate the highest common divisor of 366 and 14518.
122
What is the highest common divisor of 170084 and 404?
404
What is the greatest common divisor of 402272 and 182?
26
Calculate the highest common divisor of 41 and 3239.
41
What is the highest common factor of 1110 and 102934?
74
Calculate the greatest common factor of 7000 and 3505250.
1750
What is the greatest common divisor of 1244552 and 40?
8
What is the greatest common divisor of 1976 and 39832?
104
Calculate the greatest common factor of 28 and 46802.
14
What is the greatest common factor of 4 and 66032?
4
What is the highest common divisor of 11284 and 13468?
364
What is the highest common divisor of 95 and 2240?
5
What is the greatest common factor of 1300 and 27100?
100
Calculate the greatest common factor of 252 and 256732.
28
Calculate the highest common factor of 16379 and 1507.
11
What is the highest common factor of 252 and 19116?
36
What is the greatest common factor of 514604 and 3556?
508
What is the highest common divisor of 911537 and 9515?
1903
What is the highest common factor of 23290138 and 134?
134
Calculate the highest common divisor of 18350 and 50.
50
Calculate the highest common divisor of 72 and 8484.
12
What is the highest common factor of 3306923 and 11735?
2347
Calculate the highest common divisor of 494673 and 1629.
543
Calculate the greatest common factor of 1508 and 10788.
116
Calculate the highest common divisor of 4514097 and 1806.
903
What is the highest common factor of 722943 and 78?
39
Calculate the greatest common divisor of 1335 and 119883.
267
Calculate the greatest common divisor of 359138 and 988.
494
Calculate the greatest common divisor of 51 and 15633.
3
What is the greatest common factor of 191 and 52907?
191
Calculate the highest common factor of 3531 and 107535.
321
What is the greatest common divisor of 95925 and 15?
15
Calculate the greatest common divisor of 27 and 68589.
9
Calculate the greatest common divisor of 2490 and 8820.
30
Calculate the greatest common factor of 1955 and 340.
85
What is the highest common factor of 17928 and 2952?
72
Calculate the greatest common divisor of 1944 and 1176.
24
What is the greatest common divisor of 1037404 and 8684?
668
What is the greatest common factor of 2075 and 581?
83
What is the greatest common divisor of 37569 and 42?
21
What is the greatest common factor of 25 and 4096475?
25
What is the highest common divisor of 4350 and 12825?
75
Calculate the highest common factor of 120 and 325400.
40
Calculate the highest common factor of 621 and 4370.
23
What is the greatest common divisor of 28503 and 27?
9
Calculate the greatest common divisor of 114860 and 100.
20
What is the greatest common factor of 16 and 683888?
16
Calculate the highest common divisor of 11496482 and 82.
82
Calculate the greatest common factor of 3484 and 11256.
268
What is the highest common factor of 2674 and 5239703?
1337
Calculate the greatest common factor of 785 and 135.
5
Calculate the highest common divisor of 25708 and 488.
4
Calculate the highest common divisor of 2148 and 895.
179
Calculate the greatest common divisor of 4160 and 4615.
65
What is the greatest common factor of 260 and 652132?
52
What is the greatest common factor of 12472553 and 601?
601
Calculate the highest common factor of 184128 and 896.
448
Calculate the greatest common factor of 8 and 843056.
8
What is the greatest common factor of 4536 and 9576?
504
What is the highest common factor of 26210 and 1310?
10
What is the greatest common factor of 23 and 74957?
23
What is the highest common factor of 1714 and 1232366?
1714
What is the highest common factor of 630 and 10255?
35
Calculate the greatest common factor of 28259 and 133.
7
Calculate the highest common factor of 61 and 1094096.
61
What is the highest common divisor of 1339 and 18643?
103
What is the highest common divisor of 40147 and 152?
19
Calculate the greatest common factor of 54061 and 21.
7
What is the highest common factor of 33 and 94831?
11
What is the greatest common factor of 338 and 204997?
169
Calculate the highest common divisor of 8800 and 19580.
220
Calculate the greatest common divisor of 154 and 2477398.
154
Calculate the highest common factor of 4066 and 4750.
38
Calculate the greatest common factor of 41340 and 5088.
636
Calculate the greatest common factor of 31 and 32581.
31
What is the highest common factor of 72917 and 23998?
923
Calculate the highest common factor of 1802150 and 40.
10
What is the highest common factor of 333606 and 141?
141
Calculate the greatest common factor of 16 and 61552.
16
What is the highest common factor of 1598 and 8534?
34
What is the greatest common factor of 76587 and 6321?
147
Calculate the highest common divisor of 235791 and 639.
639
What is the highest common factor of 450 and 300?
150
Calculate the greatest common divisor of 225918 and 294.
42
Calculate the greatest common divisor of 306 and 12726.
18
Calculate the greatest common divisor of 796518 and 323.
323
What is the highest common divisor of 3304 and 381848?
472
What is the greatest common divisor of 20769 and 616749?
903
Calculate the greatest common factor of 4602 and 2298.
6
What is the highest common divisor of 283 and 103?
1
What is the greatest common factor of 55315 and 51129?
299
Calculate the highest common factor of 148 and 40972.
4
What is the greatest common factor of 130312 and 520?
104
Calculate the highest common divisor of 8624 and 441.
49
What is the greatest common factor of 19695 and 520?
65
Calculate the highest common divisor of 2772 and 25938.
198
Calculate the highest common factor of 4725 and 32319.
189
What is the greatest common factor of 71025 and 165?
15
Calculate the greatest common divisor of 11757 and 3.
3
Calculate the greatest common divisor of 96 and 15856.
16
What is the highest common divisor of 45 and 9273?
3
What is the highest common divisor of 25953 and 2532?
633
What is the hi | {
"pile_set_name": "DM Mathematics"
} |
-4*j + 4*b. Let g be (-24)/(-10) + j/15. Suppose -t = 3*p + 6 + g, p + 3 = 3*t. Solve -4*n - 2 - 6 = t for n.
-2
Let m be 1/4 + (-2)/8. Suppose -3*f + 3*q = 5*q - 9, 2*f + 5*q = -5. Let g be 3 - ((-4)/2 + f). Solve m*z - z = g for z.
0
Let y be (-6)/(-30) - 28/(-10). Solve -6 = y*k - 0*k for k.
-2
Let q(x) = -x**3 - 2*x**2 + x + 2. Let h be q(-3). Let c = 4 + h. Solve 2*v + c = -v for v.
-4
Let n(q) be the first derivative of -q**2/2 - 2*q + 1. Let z be n(-3). Suppose 0 = -3*t + 4 - z. Solve b + 5 - t = 0 for b.
-4
Suppose -7*n = -3*n - 20. Let u(f) = 5*f**2 - 1. Let c be u(-1). Solve -11 - c = n*b for b.
-3
Let j(x) = 10*x + 56 - 5*x**2 + 4*x**2 - 41. Let s be j(11). Solve -2*n = -s*n for n.
0
Suppose 5*f + 15 = 2*d - 7*d, d + 3*f + 9 = 0. Solve d = 5*y - 16 + 6 for y.
2
Suppose 0 = -o - 1, -18 = -5*d + 2*o + 104. Let l = -20 + d. Solve -l = a - 3*a for a.
2
Let r be (-450)/(-105) - (-4)/(-14). Let t(s) = -5*s - 3. Let d be t(-3). Solve 4*f + d = -r for f.
-4
Suppose -3*g + 15 = s, -4*g + 17 = 3*s - 3. Suppose 4*p - 4*l + 0*l - 20 = 0, 4*p + 4*l - 12 = s. Solve p*a + 3 = 3*a for a.
-3
Let h = 57 - 57. Solve h = v + 5 for v.
-5
Let y be (-2 - 3 - -8) + 0. Solve -y*k = -5*k + 6 for k.
3
Let w be -2*10/5 - -6. Solve -5 = 3*j - w*j for j.
-5
Let c = 9 - 4. Suppose 4*i - 11*i = -63. Solve c*z = -i - 6 for z.
-3
Suppose -5*g + 100 - 20 = 0. Suppose 2*n - 5*n = 5*f - g, -2*f - 3*n + 10 = 0. Solve -4*y = -f*y + 8 for y.
-4
Suppose 4*i - 16 = -4*t, -2*t = t - 6. Solve 6 = i*p - 0 for p.
3
Let u be 3/6*6 + -1. Solve -2*i + 12 = u*i for i.
3
Let g(c) = c - 2. Let o be g(2). Let f(q) = 2*q + 6. Let u be f(-6). Let t(r) = r**3 + 5*r**2 - 6*r + 2. Let i be t(u). Solve o = i*n + 2*n for n.
0
Suppose -w - 3*w - 20 = 0. Let t(m) = -m**2 - 7*m - 1. Let z be t(w). Solve -c + 4*c - z = 0 for c.
3
Let j(p) be the first derivative of -p**4/4 + 2*p**3 + p - 1. Let x be j(6). Let n = 4 - x. Solve -6 = 5*s - n*s for s.
-3
Let g = -1 - -1. Let j = -58 + 58. Suppose j = 3*c - 3*h + 9, g = -c - 0*h - h + 3. Solve c*n - n = 4 for n.
-4
Let m = -6 - -8. Suppose m*f = -4 + 10. Suppose c + 0*c - f = 0. Solve 0 = 3*r + 3 + c for r.
-2
Let w(d) = d - 1. Let n be w(-5). Let b(m) = -m - 3. Let s be b(n). Suppose s*z = -3, -2*u - 5*z - 9 = -4*u. Solve u*v + 11 - 1 = 0 for v.
-5
Let a = -10 + 8. Let f be (-138)/(-36) - a/12. Suppose 0 = 2*g - 0*g - f. Solve u + 3 = g*u for u.
3
Suppose -3*j = 2*b - 10, 5*j - j - 18 = 2*b. Solve -5*a + 29 = j for a.
5
Suppose -40 = -2*l - 10. Solve -3*a + 3 = l for a.
-4
Suppose -11 - 3 = -5*h - 3*a, -3*a + 6 = 3*h. Solve 2*g - h = g for g.
4
Suppose l + 5*z = -21, 0 = -l - l + 4*z. Let j = -2 - l. Solve -x - 15 = j*x for x.
-3
Let w(t) = 10*t + 3*t**2 - t**3 + 7*t**2 - 2*t**2 + 4 - 1. Let k be w(9). Solve -3*v + 0*v = -k for v.
4
Let z(s) = s**3 + 5*s**2 + 4*s - 1. Let d(k) = k - 7. Let y be d(7). Let o = -3 - y. Let a be z(o). Solve -1 = -4*m - a for m.
-1
Suppose 3*z + l = 11 + 4, 3*l - 5 = -z. Suppose -z*p + 2*p = 0. Let i = 0 - p. Solve i = 3*v + 5 + 1 for v.
-2
Let c be (8/(-4) - 1) + 8. Solve -g - 3 = -c for g.
2
Let w be 2/(-4) + (-3)/(-2). Let t be w/((-21)/(-9) + -2). Suppose k + 10 = t*l, -l - 22 = -2*l + 5*k. Solve -10 = -l*r - 3*r for r.
2
Let u be (-17)/((-85)/(-10))*(-1 + 0). Solve -2 - u = 4*p for p.
-1
Suppose 3*l + 5 = 161. Let q be (-6)/(-10) - (-301)/(-35). Let u be l/6 + q/12. Solve 2*k + 2*k = u for k.
2
Suppose -k = -3 + 1. Let c be (-6)/2*4/6. Let t = c + k. Solve -z - z + 10 = t for z.
5
Let d = -2 - -5. Suppose -g + 5 = 4*t - 4*g, -d*g + 3 = 0. Suppose 0 = v - 4*v + 9. Solve -q - v = -t*q for q.
3
Let x be (10 + 2)/(30/40). Solve x = 2*v + 2*v for v.
4
Let f(u) = -2*u. Let a(k) = k - 10. Let x be a(9). Let j be f(x). Solve 0 = 3*o + 8 - j for o.
-2
Let q = -1 + 1. Suppose 3*w + q*w = 3. Solve i = 3 - w for i.
2
Let j(w) be the first derivative of 5*w**4/2 - w**3/3 + w + 1. Let t(b) = b**2. Let f be t(-1). Let n be j(f). Solve 4*p + n + 10 = 0 for p.
-5
Suppose 2*h = -2 + 6. Suppose 6 = 3*y, h*y + 3*y - 14 = -z. Solve -b = -z*b + 9 for b.
3
Suppose -2*m - 12 = -3*l - 2*l, 4*l = 3*m + 11. Suppose 0 = 5*b + 5*i + 15, l*b - 7*b + 4*i = -12. Solve 3*v + v - 20 = b for v.
5
Let c = 2 + -6. Let g = c + 7. Solve -3*l + g = 9 for l.
-2
Suppose -5*w - 4*v = -26, -2*v + 18 = 3*w + 2*w. Suppose -m - w = 4*g, -g = 3*m + 2*g - 12. Solve m = u + 2 for u.
4
Suppose -v - 8 = -0*v. Let o(t) = t**2 + 8*t. Let k be o(v). Solve -m - 1 - 2 = k for m.
-3
Let j = -23 - -14. Let x be 0*(j/6 + 2). Let q be 3 + (-1 - -2 - 2). Solve q + x = m for m.
2
Suppose 2*l = 4*w - l - 79, -5*l + 7 = 2*w. Let m be 12/w - 7/4. Let c = m - -26. Solve c = -2*h + 7*h for h.
5
Let k(c) = 2*c - 2*c - 3*c + 4*c. Let o be k(3). Suppose 3*i - u = 8, -i + 5*u + o = 19. Solve -w + i = 1 for w.
3
Let n be (-27)/(-36) + 18/8. Let a(m) = -2 - 3 + n*m - 1. Let l be a(4). Solve 0 = -2*f + l - 4 for f.
1
Let f = -11 - -15. Let k = -1 + f. Suppose -k*r = m + 2*r + 19, 5*m + 11 = -4*r. Solve 4*h = -13 + m for h.
-3
Suppose 5*s = 7*s - 40. Solve -s = 5*t - 9*t for t.
5
Let v = 0 + 5. Let c = v + -4. Solve -o - 3 = -c for o.
-2
Let y = 6 - 3. Suppose -5*j + 3*h + 20 = -j, -y*j = 5*h - 44. Let c = 16 + -9. Solve 3*m + j + c = 0 for m.
-5
Suppose 3*z - 68 = -50. Solve 2 = 2*i + z for i.
-2
Suppose d = h - 13, -h + 1 = -2*d - 7. Solve -13*i = -h*i for i.
0
Suppose b = -4*n - 4*b - 37, -27 = 3*n + 3*b. Let c(h) be the second derivative of h**4/12 + h**3 - 11*h**2/2 - h. Let y be c(n). Solve g = 2*g + y for g.
-5
Suppose -36 = -4*s - 0*s - 4*a, 5*s + a - 61 = 0. Suppose i + i - 4 = 0, 2*i - s = -3*z. Solve 1 = -z*u + 4 for u.
1
Let k(h) = -h - 20. Let c be k(-22). Solve c*o - 1 = -11 for o.
-5
Suppose 4*g - 2*g - 16 = 0. Solve 2*x - g = -0 for x.
4
Suppose 0 = -7*u + 2*u. Suppose n + 9 = -u*n. Let a = n - -12. Solve 0 = a*v + 5 + 4 for v.
-3
Suppose 17 = 3*b - a, -2*b - 3*b - 4*a = -17. Solve 10 = -b*d - 5 for d.
-3
Let o = -1 + 1. Let r = 9 + o. Solve -3*j = -6*j - r for j.
-3
Let h(n) = 3*n**2 - 2*n**2 - 3 + 1 - 13 + 9*n. Let k = 0 - 11. Let d be h(k). Solve -d - 13 = -4*g for g.
5
Let r be (-4 - -4)/5*1. Solve r = 3*d - 4*d for d.
0
Suppose 5*z - g = -0*g + 34, -g - 28 = -4*z. Solve -3*x + z = -x for x.
3
Let c(s) = s**2 - 3. Let y be c(0). Let j be 45/(-5)*1/y. Solve -i + j*i = 6 for i.
3
Let c(n) = n**3 + 12*n**2 + 11*n. Let r be c(-11). Let m(y) = -y**2 - y + 3. Let u be m(r). Solve 17 + u = 5*l for l.
4
Let f be 2 + -11 - (-8)/(-2). Let w = f - -13. Solve 4*b = -w*b for b.
0
Suppose 3*h = -2*h - 5*g - 25, -3*h + 2*g = -10. Suppose h = m + 2 - 3. Solve -2*z + 5 = m for z.
2
Let b(l) = l + 13. Let h be b(-11). Suppose 9 = 3*m - c, 0*m = h*m + 4*c - 6. Solve -m*z = 2*z + 15 for z.
-3
Suppose 0 = 4*i - 3*i. Let b(z) = -z**2 + z + 1. Let f be b(i). Solve c - f = 2*c for c.
-1
Let g(s) = 2*s**2 - s - 3. Let b be g(-3). Suppose b*q + 6 = 19*q. Solve 2*k - q = 4*k for k.
-3
Suppose -p - 4*v = -6 - 7, 0 = 5*v - 10. Solve 0 = 11*t - 10*t + p for t.
-5
Suppose -9*x + 4*x = -2*x. Solve x + 1 = -w for w.
-1
Suppose -y + 1 = -3. Let p be 4/22 - 4/22. Suppose z - y*z = p. Solve z = -2*j - 0*j - 4 for j.
-2
Suppose 2*m = -3*i - m + 9, -5*i - 4*m = -15. Solve 5*v = -2 - i for v.
-1
Let r = -3 + 7. Suppose -3*j = 6, -5*z = -5*j + 15 - 40. Suppose 5 = -5*o - z*l + 28, 5*l = 2*o - 3. Solve -r*a - o = 8 for a.
-3
Let i be (0 - 12/21)*(-14)/4. Suppose 0 = -a - q - 1, 4 = -a - 0*a - 2*q. Let k be (-2)/a + 0 + 2. Solve -i*b + 11 = k for b.
5
Suppose -5*g + 9 = -6. Suppose 1 = -2*q + g. Solve q = -3*b - 5 for b.
-2
Let b be (1 + -1)/2 - -8. Let h be (-4)/6 - (-34)/6. Suppose -h*x + b = -x. Solve 0*w + x = w for w.
2
Let l(s) be the second derivative of s**3/3 - 6*s**2 - s. Let t be l(8). Let h = -2 + 5. Solve -h*c = -t*c + 5 for c.
5
Suppose 0 = -3*l - 2*l + 6*l. Solve l = -c - 3 for c.
-3
Let g(f) = -f**3 - 9*f**2 + 11*f + 10. Let w(l) = -9*l**2 - 1. Let z be w(1). Let r be g(z). Solve r*j + 3*j = 0 for j.
0
Let j = -39 + 26. Let y = j - -18. Suppose 2*h - 4 = y*v, v + 6 = -4*v + 3*h. Solve -5*k + v*k - 5 = 0 for k.
-1
Suppose 5 = 4*o + 2*b - 29, -o - b = -11. Solve 3*t = 6*t + o for t.
-2
Let q be (-10)/(-1)*(-4)/(-10). Suppose q*w + 5 = 25. Solve w = -2*z + z for z.
-5
Suppose 6*m = 7*m. Solve m | {
"pile_set_name": "DM Mathematics"
} |
ed by 562.
444
Calculate the remainder when 3787 is divided by 1127.
406
Calculate the remainder when 8486 is divided by 354.
344
Calculate the remainder when 19573 is divided by 4878.
61
Calculate the remainder when 8981 is divided by 44.
5
Calculate the remainder when 15689 is divided by 475.
14
Calculate the remainder when 60121 is divided by 6012.
1
What is the remainder when 22427 is divided by 3736?
11
What is the remainder when 1430 is divided by 546?
338
Calculate the remainder when 10365 is divided by 57.
48
What is the remainder when 19408 is divided by 9699?
10
What is the remainder when 1359 is divided by 784?
575
What is the remainder when 158161 is divided by 15814?
21
Calculate the remainder when 1020314 is divided by 280.
274
Calculate the remainder when 48175 is divided by 365.
360
Calculate the remainder when 1543231 is divided by 308644.
11
What is the remainder when 10414 is divided by 93?
91
Calculate the remainder when 745350 is divided by 119.
53
What is the remainder when 804 is divided by 650?
154
What is the remainder when 10824 is divided by 95?
89
Calculate the remainder when 252882 is divided by 733.
730
What is the remainder when 2121 is divided by 53?
1
Calculate the remainder when 6983 is divided by 6922.
61
What is the remainder when 467 is divided by 446?
21
Calculate the remainder when 8013 is divided by 802.
795
What is the remainder when 14858 is divided by 1242?
1196
Calculate the remainder when 36660 is divided by 1927.
47
Calculate the remainder when 507777 is divided by 182.
179
Calculate the remainder when 3924 is divided by 503.
403
What is the remainder when 142314 is divided by 2?
0
What is the remainder when 15519 is divided by 118?
61
Calculate the remainder when 27988 is divided by 55.
48
What is the remainder when 9219 is divided by 412?
155
What is the remainder when 57535 is divided by 58?
57
What is the remainder when 3337 is divided by 356?
133
Calculate the remainder when 28133 is divided by 218.
11
What is the remainder when 419848 is divided by 150?
148
Calculate the remainder when 3159 is divided by 626.
29
What is the remainder when 12872 is divided by 8?
0
What is the remainder when 32743 is divided by 166?
41
Calculate the remainder when 733753 is divided by 7.
6
What is the remainder when 932926 is divided by 32?
30
Calculate the remainder when 11936 is divided by 1190.
36
Calculate the remainder when 81042 is divided by 14.
10
What is the remainder when 3279176 is divided by 155?
151
Calculate the remainder when 500587 is divided by 50057.
17
Calculate the remainder when 67088 is divided by 16766.
24
Calculate the remainder when 6848 is divided by 67.
14
What is the remainder when 80816 is divided by 341?
340
What is the remainder when 8977 is divided by 1227?
388
Calculate the remainder when 14687 is divided by 41.
9
What is the remainder when 315475 is divided by 44?
39
Calculate the remainder when 13783 is divided by 1067.
979
Calculate the remainder when 4712 is divided by 670.
22
Calculate the remainder when 1448549 is divided by 870.
869
Calculate the remainder when 57097 is divided by 163.
47
What is the remainder when 2285 is divided by 56?
45
What is the remainder when 2290 is divided by 2276?
14
Calculate the remainder when 8032 is divided by 619.
604
What is the remainder when 2765 is divided by 983?
799
Calculate the remainder when 46785 is divided by 167.
25
What is the remainder when 50901 is divided by 25436?
29
Calculate the remainder when 7390 is divided by 133.
75
What is the remainder when 256621 is divided by 5578?
33
What is the remainder when 70688 is divided by 30?
8
What is the remainder when 3336 is divided by 3329?
7
What is the remainder when 537 is divided by 120?
57
Calculate the remainder when 5269 is divided by 798.
481
Calculate the remainder when 12797944 is divided by 54.
52
What is the remainder when 21938 is divided by 203?
14
Calculate the remainder when 1743 is divided by 938.
805
Calculate the remainder when 55555 is divided by 1157.
19
What is the remainder when 12669 is divided by 6313?
43
What is the remainder when 1035 is divided by 87?
78
What is the remainder when 83154 is divided by 9?
3
Calculate the remainder when 1074 is divided by 355.
9
Calculate the remainder when 560 is divided by 258.
44
What is the remainder when 18452 is divided by 160?
52
What is the remainder when 209259 is divided by 142?
93
Calculate the remainder when 9862 is divided by 754.
60
What is the remainder when 3435035 is divided by 11?
10
What is the remainder when 146077 is divided by 589?
5
Calculate the remainder when 32511 is divided by 759.
633
What is the remainder when 32300 is divided by 109?
36
What is the remainder when 32440 is divided by 315?
310
Calculate the remainder when 2026 is divided by 159.
118
What is the remainder when 20600 is divided by 20580?
20
Calculate the remainder when 2226 is divided by 72.
66
Calculate the remainder when 49494 is divided by 44.
38
Calculate the remainder when 3950 is divided by 592.
398
Calculate the remainder when 51125 is divided by 86.
41
What is the remainder when 225 is divided by 199?
26
What is the remainder when 6813 is divided by 87?
27
What is the remainder when 4896 is divided by 16?
0
Calculate the remainder when 5393 is divided by 71.
68
Calculate the remainder when 10577 is divided by 1511.
0
Calculate the remainder when 799 is divided by 159.
4
What is the remainder when 1815 is divided by 876?
63
What is the remainder when 3241795 is divided by 239?
238
Calculate the remainder when 1546424 is divided by 331.
323
Calculate the remainder when 3576 is divided by 949.
729
What is the remainder when 20625 is divided by 2740?
1445
Calculate the remainder when 17771 is divided by 495.
446
What is the remainder when 7098 is divided by 296?
290
What is the remainder when 2234 is divided by 374?
364
Calculate the remainder when 145529 is divided by 145496.
33
Calculate the remainder when 43886 is divided by 1185.
41
What is the remainder when 189929 is divided by 103?
100
Calculate the remainder when 20533 is divided by 1465.
23
What is the remainder when 294 is divided by 69?
18
Calculate the remainder when 1618872 is divided by 30.
12
Calculate the remainder when 953 is divided by 220.
73
What is the remainder when 3533 is divided by 962?
647
What is the remainder when 110306 is divided by 46?
44
What is the remainder when 2233 is divided by 40?
33
Calculate the remainder when 13890 is divided by 979.
184
Calculate the remainder when 328795 is divided by 13.
12
Calculate the remainder when 11531 is divided by 42.
23
Calculate the remainder when 1234 is divided by 382.
88
What is the remainder when 1669 is divided by 458?
295
What is the remainder when 5388 is divided by 1102?
980
Calculate the remainder when 2152 is divided by 655.
187
What is the remainder when 2111 is divided by 91?
18
Calculate the remainder when 1615809 is divided by 22.
19
What is the remainder when 66408 is divided by 11065?
18
Calculate the remainder when 818368 is divided by 189.
187
Calculate the remainder when 84342 is divided by 27.
21
What is the remainder when 11803 is divided by 3934?
1
Calculate the remainder when 1820 is divided by 366.
356
Calculate the remainder when 328177 is divided by 10.
7
Calculate the remainder when 18121 is divided by 727.
673
What is the remainder when 10947 is divided by 1344?
195
What is the remainder when 165 is divided by 57?
51
Calculate the remainder when 517546 is divided by 26.
16
What is the remainder when 4677 is divided by 1551?
24
What is the remainder when 16697 is divided by 64?
57
Calculate the remainder when 2698 is divided by 899.
1
Calculate the remainder when 2211 is divided by 2128.
83
Calculate the remainder when 33126 is divided by 101.
99
Calculate the remainder when 82280 is divided by 2.
0
Calculate the remainder when 882254 is divided by 882233.
21
Calculate the remainder when 3120 is divided by 174.
162
What is the remainder when 42389 is divided by 4?
1
Calculate the remainder when 48915 is divided by 494.
9
Calculate the remainder when 8031 is divided by 52.
23
What is the remainder when 386899 is divided by 1697?
1680
What is the remainder when 5871 is divided by | {
"pile_set_name": "DM Mathematics"
} |
2/3))**(-1/3))**(-8)*(j/j**0)**10/(j**(4/5)/j*j**(-2/7)) assuming j is positive.
j**(3863/315)
Simplify (((b/((b/(b/b**5))/b)*b)/(b**(2/7)/b))/(b**(-4)*b**(-1/4)))/((b*b**(2/3))**27)**(1/24) assuming b is positive.
b**(61/56)
Simplify (l**9*l**(-2/27))**(-4/9)/((l**1)**(-39)*(l/(l*l/l**1)*l)**(-13)) assuming l is positive.
l**(11672/243)
Simplify (b/(b*b**(-1/4)))**39*b**(3/7)/b*(b**(-3)/b*b)/b*(b*b/((b*b**(4/7))/b)*b**(1/9))**43 assuming b is positive.
b**(17989/252)
Simplify ((z*z*z*z**(-14)*z)/(z**(-6/7)*z)*z**10/(z*z**(-6)*z))**(-12) assuming z is positive.
z**(-324/7)
Simplify ((w**(2/5)*w**(1/7))/(w**(3/2)*w*w**(-1/4)))/(w**(-8)/(w*w/w**2*w)*w*w/w**(-2/3)*w**(-8/7)) assuming w is positive.
w**(2423/420)
Simplify ((u**22)**10*u/(((u/(u/(u**(-1/8)/u)))/u)/u)*u*(u**(-1/7)/u)/u*u)**(-6/37) assuming u is positive.
u**(-1017/28)
Simplify (u**(2/7)*u**4)/((u/(u/u**(-1/4)))/(u**1/u*u))*(u**(-1)*u*u*u**(-3/2))/(u**(1/5)/u**(-7)) assuming u is positive.
u**(-303/140)
Simplify (((u**5*u*u**(5/7)/u)/(u**(2/23)/(u/((u/u**(-8)*u*u)/u))))**0)**(-6) assuming u is positive.
1
Simplify (m*m**0)**(-33)*(m/(m/((m/(m*m*m**0))/m)))**(-20)*((m**0)**24)**(6/23) assuming m is positive.
m**7
Simplify (((x*x**(-1/4))/x)**43)**(-1/4)/((x**1)**40/((x*(x/x**(2/3))/x)/(x**(-2/3)*x))) assuming x is positive.
x**(-597/16)
Simplify ((o*o**(-1/4)*o**(3/4))/(o/((o*o**(-2/15)/o)/o)*o*o**(2/21)*o))/((o**3/o)/o*o*o**(-9)*o)**15 assuming o is positive.
o**(6109/70)
Simplify (((i**(-1/13)/i)/i)/i**(-2/13)*i**(-21)*i*i**(-34))**(2/31) assuming i is positive.
i**(-1454/403)
Simplify ((u**(-3)*u**1)/((u*u*u*u/(u/(u**23*u))*u*u*u*u)/u*u*u/(u*u/(u*u**(-2/73)))))**(-1/11) assuming u is positive.
u**(2407/803)
Simplify (h**(4/7)/(h/h**(-2)))**(-2/51)*(((((h/h**8)/h)/h)/h*h)/(h/((h/h**(-4)*h)/h)))**(-6) assuming h is positive.
h**(632/21)
Simplify (((n**(-1)*n*n)/(n/(n*n**8)))/(n*(n*(n**(-2)*n)/n)/n)**(-3/32))/((n**3*n**(-1/9)/n)/(n**6/((n/(n**(-4/3)/n)*n)/n))) assuming n is positive.
n**(2789/288)
Simplify (((m*m**(-1))/m)/m*m/(m/m**(2/9)*m))/((m/((m*m**0)/m)*m)/m)**(-5)*(m*m*m**(6/11)*m*m**7)**(-2/45) assuming m is positive.
m**(868/495)
Simplify ((q/q**(-2/3))**(14/3)/(q**(-1))**30)/((q**(-3/2)*q*q**(-1/2))/(q*q**(1/3))**(-5/12)) assuming q is positive.
q**(344/9)
Simplify (w*w**(-6)/w*(w/(w/(w**(-1/3)*w))*w*w)/w)**2*((w/((w/(w/(w**1/w)))/w))/(w*w**(-3/7)))**(-15/4) assuming w is positive.
w**(-589/42)
Simplify (g**0*(((g/(g**5*g))/g)/g)/g)**24*(g**(1/2)/g)**(-4/31)/(g*g/(g/g**1)*g)**(-4/9) assuming g is positive.
g**(-17726/93)
Simplify (d**(-1)*d)**34/(d*d**1*d*d)**0*((d*d/d**3*d)/d*d*d*d**(1/4)/d*d)/((d/d**(-1/4))/d**(-7)) assuming d is positive.
d**(-7)
Simplify ((((g**(-1/4)*g)/(g**1*g))/(g**(5/3)/g**(-5)))**(-1/4))**(-16/5) assuming g is positive.
g**(-19/3)
Simplify p**4/p**(-7)*(p**0)**6*(p*(p*p*p**(1/6))/p)/p**(-3)*p*p**(2/3)*p**(-2/9) assuming p is positive.
p**(317/18)
Simplify r*r/(r*r**(-6)*r)*r*r**(-2/31)*(r**(-10/7))**(-40) assuming r is positive.
r**(13905/217)
Simplify (x/(x*x**(2/5)*x*x*x))/x*x**0/x*x/(x**(-1/5)*x)*x/(x/(x**(1/5)/x))*((x*(x*x*x**1)/x*x)**(-8/7))**33 assuming x is positive.
x**(-1098/7)
Simplify ((((m**(2/3)*m)**(1/21))**(1/5))**(-1/6))**(-19) assuming m is positive.
m**(19/378)
Simplify (u*u/((u**(2/3)/u)/u)*u**(-4))**(1/20)*(u**(2/5)*u*u)**(1/16)/(u**(-1))**(-2/17) assuming u is positive.
u**(-1/1020)
Simplify ((r**(-1/2))**37*((r/r**(-4)*r)/r)/(r*(r/(r/(r**(1/3)/r))*r)/r*r*r))/((r**(-2/7))**(-2/7)*(r**0)**(-2/3)) assuming r is positive.
r**(-4679/294)
Simplify (p/(p*(p*(p*p**(-2/17)*p*p)/p*p)/p)*p)**(-2/11)*((p*p**(-11)/p)/p*p)/(p/(p**(-15/7)*p)) assuming p is positive.
p**(-16756/1309)
Simplify (b/b**14*(b*b*b*b/b**(9/5))/b)**(1/7)*b**(-4)*b*b**(-8)*b**(-1/5)/(b*(b**0*b)/b) assuming b is positive.
b**(-486/35)
Simplify ((f**5/f**(-2/27)*(f**(1/12)*f)/f**(-2/15))**42)**(9/2) assuming f is positive.
f**(23779/20)
Simplify ((((j**(-1))**(-18/11))**(3/41))**(-2/11))**37 assuming j is positive.
j**(-3996/4961)
Simplify (((x*x/(x*x**0*x))/x*x)**(-50/7))**(-37)/((x*x**(-2/13)*x/((x/x**3*x)/x)*x)/(x*x**(3/5)/x*x*(x*x*x**(-4))/x)) assuming x is positive.
x**(-406/65)
Simplify ((z*z**(-10))/z**(3/5))**(-1/13)*((z*z**(-3)/z)**32)**(3/4) assuming z is positive.
z**(-4632/65)
Simplify ((r*r/(r*r**(-2/13)))/(r*r*r*r**1))**(-3)/((r**(-2))**41*r**(-1/3)*r*r/r**4*r) assuming r is positive.
r**(3583/39)
Simplify f**(2/7)/f**1*(f**(-1/4))**(-3/49)*(f*f*f**(3/5)*f**(-7))/(f**(2/3)/((f/f**6)/f)) assuming f is positive.
f**(-34591/2940)
Simplify (l/(l**(11/5)/l)*l/l**(2/61))/(l**16/(l*l**(-19)*l)) assuming l is positive.
l**(-9831/305)
Simplify (s*s*s**(3/14))**(2/3)/(s/((s*s/((s*s**(-4))/s))/s)*s**10) assuming s is positive.
s**(-95/21)
Simplify ((f**37)**(4/9)*f**1*f/(f**(5/4)*f))**(-3) assuming f is positive.
f**(-583/12)
Simplify ((((c/c**(-19))/c*c**(-4/7))**(-1))**(6/7))**(-2/17) assuming c is positive.
c**(1548/833)
Simplify ((m*m**(-4/7))**(-2/13)*(m*m/(m**(-1/3)*m))**(-3/32))**37 assuming m is positive.
m**(-5143/728)
Simplify ((g/(g**(-1)/g))**(2/59))**(-6/5)/((g*g**1)**(1/8)/((g*g**5*g*g*g)/g**(-2/17))) assuming g is positive.
g**(175437/20060)
Simplify ((w**(6/5)*w/(w*w*w**(-23)/w*w))/(w**(-2/13)/w**(-6)))**(1/53) assuming w is positive.
w**(1128/3445)
Simplify (((k*k*k*k**5)/k**1)/(k*k*k**1*k*k)**(-7/5))/((k/(k*k**0/k*k))**34*(k**0/k)**(-34)) assuming k is positive.
k**(-20)
Simplify (((l**(-1/4)*l)**(-19)*l**(-7/3)/((l/(l/(l/(l*l*l*l**0))))/l))**(6/25))**18 assuming l is positive.
l**(-1467/25)
Simplify ((h*((h/(h*h*h*h/h**(-5)))/h)/h)/(h/(h**3/h)))**31/((h**(-2/17)/h**(-3/5))/(h**(-4/5)/h**(-1/7))) assuming h is positive.
h**(-148238/595)
Simplify ((g*g/(g*g**(-2/5))*g)/(g/g**(-1/3))*(g**(-1))**34)/((g**1*g)**24/(g**(1/6)/((g/g**(1/3))/g*g))) assuming g is positive.
g**(-2443/30)
Simplify u**2*u**(1/7)*u*u**(2/25)/u*u*u*u/(u**(2/23)/u)*u*u**(-1)*u*u**0*((u*(u/(u/u**(-2)))/u)/u)**(-2/49) assuming u is positive.
u**(204504/28175)
Simplify ((k**(4/3)/k)/(k/(k*k*k/(k*k**(-3/10)*k*k)*k)))**(5/3)*(k/((k/((k**2*k)/k))/k*k))**(-29)*(k/k**(-1))**(-13) assuming k is positive.
k**(-1493/18)
Simplify (d**9/(d*d*d*d*d/d**(-9)*d))**30/(d/d**0*d/d**(8/5))**(2/9) assuming d is positive.
d**(-8104/45)
Simplify ((t**(-2))**(-1/58))**(-7)*((t/t**(-2/3))**(2/3))**(-8) assuming t is positive.
t**(-2383/261)
Simplify (r/(r*(r**(-13)/r)/r*r)*r**(4/5)*r*r**(-21)*r*(r/(r*r*r/(r/(r**(-11)/r)*r)))/r)**(-4/17) assuming r is positive.
r**(-8/5)
Simplify (i**(-3)/(i**(-2/137)/i))/(i**11/i**(-38)) assuming i is positive.
i**(-6985/137)
Simplify ((((x**(-2/17)*x)**(-3/16))**(-36))**(-39))**(2/77) assuming x is positive.
x**(-15795/2618)
Simplify ((b**(-3)/b)/b)**(-42)*(b/(b/b**(-28)))**(-1/61) assuming b is positive.
b**(12838/61)
Simplify (((f**21/(f**(2/165)/f))**(-43))**(11/7))**(-17) assuming f is positive.
f**(2652068/105)
Simplify ((d**(-5/3)*(d*d/d**3)/d)/(d**(-2/13))**6)**(1/23) assuming d is positive.
d**(-107/897)
Simplify ((t/(t**(-4)/t))/t**8)/(t**(1/8)*((t*t**(4/7))/t)/t)*((t/(t**(-1/3)*t*t))/t)**(-2/7)/((((t**6/t)/t)/t)/(t/t**(-5/2))) assuming t is positive.
t**(-121/168)
Simplify ((z*z/(z*z*z**3*z))/z**5)**(15/7)/((z*z**(-1/3)/z*z)**(-1/5)*z*z**(-2/7)*z**(-1/5)) assuming z is positive.
z**(-59/3)
Simplify (l*l**(-2/51)*l**(2/35))/((l*l/(l/(l*l**(-7/6)*l))*l*l*l)/l**(-2)) assuming l is positive.
l**(-20761/3570)
Simplify ((a/a**(1/8))/a*a*a**6/a*a)**50/(a/(a/((a**(2/5)/a)/a))*a/(a/(a**(1/2)/a))*a**(-1/3)*(a*a*a**(-4/5)/a*a)/a) assuming a is positive.
a**(20759/60)
Simplify (((r/(r/(r*r*r**8/r)))**(1/4))**33)**49 assuming r is positive.
r**(14553/4)
Simplify (t**5*t**(-2/11))**(-33)*(t*t/(t/((t/(t/((t**(-1/4)*t)/t*t))*t)/t))*t*t)**(17/3)*((t*t*t**(-6))/t)/(t/t**(4/7)) assuming t is positive.
t**(-4009/28)
Simplify ((((j*(j*(j*j*j**2)/j)/j)/j)/j)/(j/(j**(-14)/j*j))*(j/(j/(j*j**0*j)))**(1/30))**(-43) assuming j is positive.
j**(8342/15)
Simplify (((p*p/(p*p/(p**(1/3)*p*p)*p)*p*p*p)/p)/((p/(p**(-2/13)*p))/p*p)*p/(p**(-2)/p)*p*p**7)**(-1/7) assuming p is positive.
p**(-592/273)
Simplify (j*j**13*j**(-2/17)*j*(j/(j/((j/j**(-2/5))/j)))/(j**4*j*j))**4 assuming j is positive.
j**(3156/85)
Simplify ((l/l**(-1))**(-5/4))**(4/11)*(l**0*l)**31/((l*l**(-2/7))/l**3) assuming l is | {
"pile_set_name": "DM Mathematics"
} |
term of 2610, 2595, 2580, 2565, 2550, 2535?
-15*q + 2625
What is the f'th term of -6987, -7005, -7023?
-18*f - 6969
What is the c'th term of 624557, 624559, 624561, 624563, 624565?
2*c + 624555
What is the l'th term of -227, -915, -2063, -3671, -5739, -8267?
-230*l**2 + 2*l + 1
What is the a'th term of -7172868, -7172867, -7172866, -7172865, -7172864?
a - 7172869
What is the u'th term of 284, 290, 302, 320, 344?
3*u**2 - 3*u + 284
What is the t'th term of 7909, 62802, 211789, 501916, 980229, 1693774, 2689597?
7841*t**3 + t**2 + 3*t + 64
What is the b'th term of 241, -12, -425, -992, -1707?
b**3 - 86*b**2 - 2*b + 328
What is the v'th term of 1460, 3087, 4714?
1627*v - 167
What is the k'th term of 91788, 367154, 826098, 1468620, 2294720, 3304398?
91789*k**2 - k
What is the l'th term of -163, -315, -475, -655, -867?
-2*l**3 + 8*l**2 - 162*l - 7
What is the a'th term of -2787, -2917, -3047, -3177, -3307?
-130*a - 2657
What is the a'th term of -2491, -2608, -2801, -3070, -3415, -3836?
-38*a**2 - 3*a - 2450
What is the l'th term of -6819, -7446, -8073, -8700?
-627*l - 6192
What is the u'th term of -115, -420, -911, -1582, -2427, -3440, -4615?
u**3 - 99*u**2 - 15*u - 2
What is the l'th term of 5859, 5738, 5401, 4740, 3647, 2014, -267?
-18*l**3 + 5*l + 5872
What is the y'th term of 518474, 518477, 518480, 518483, 518486, 518489?
3*y + 518471
What is the i'th term of -2378, -9521, -21416, -38057, -59438, -85553, -116396?
i**3 - 2382*i**2 - 4*i + 7
What is the n'th term of -388, -680, -998, -1348, -1736, -2168, -2650?
-n**3 - 7*n**2 - 264*n - 116
What is the l'th term of 2413, 4854, 7295, 9736, 12177, 14618?
2441*l - 28
What is the g'th term of -186, 234, 1270, 2928, 5214, 8134, 11694, 15900?
g**3 + 302*g**2 - 493*g + 4
What is the i'th term of 170, 298, 430, 566?
2*i**2 + 122*i + 46
What is the v'th term of 1165, 4672, 10507, 18664, 29137, 41920?
-v**3 + 1170*v**2 + 4*v - 8
What is the l'th term of 2370, 4761, 7160, 9573, 12006?
l**3 - 2*l**2 + 2390*l - 19
What is the o'th term of -2503, -2502, -2501, -2500, -2499, -2498?
o - 2504
What is the b'th term of -837, -806, -777, -750, -725?
-b**2 + 34*b - 870
What is the s'th term of 2356, 4663, 6970?
2307*s + 49
What is the v'th term of 6474, 6455, 6436?
-19*v + 6493
What is the k'th term of -3475, -6459, -9447, -12439, -15435?
-2*k**2 - 2978*k - 495
What is the s'th term of 1267, 1270, 1271, 1270, 1267, 1262, 1255?
-s**2 + 6*s + 1262
What is the n'th term of 858, 3363, 7426, 12957, 19866?
-15*n**3 + 869*n**2 + 3*n + 1
What is the a'th term of 140, 270, 488, 794, 1188, 1670?
44*a**2 - 2*a + 98
What is the s'th term of -3439, -3449, -3469, -3499, -3539, -3589?
-5*s**2 + 5*s - 3439
What is the m'th term of -288619, -288604, -288573, -288520, -288439?
m**3 + 2*m**2 + 2*m - 288624
What is the i'th term of -923, -1856, -2795, -3740?
-3*i**2 - 924*i + 4
What is the j'th term of -124, -359, -734, -1231, -1832, -2519, -3274, -4079?
3*j**3 - 88*j**2 + 8*j - 47
What is the x'th term of -1150, -9204, -31066, -73642, -143838, -248560?
-1151*x**3 + 2*x**2 - 3*x + 2
What is the u'th term of 284, 1356, 3142, 5642, 8856?
357*u**2 + u - 74
What is the p'th term of 6103, 12408, 18709, 25006, 31299, 37588?
-2*p**2 + 6311*p - 206
What is the u'th term of 3618, 7250, 10884, 14520?
u**2 + 3629*u - 12
What is the c'th term of -2210, -4461, -6710, -8957, -11202, -13445, -15686?
c**2 - 2254*c + 43
What is the r'th term of 239, 223, 193, 149?
-7*r**2 + 5*r + 241
What is the a'th term of -744, -742, -740?
2*a - 746
What is the n'th term of -2072, -1872, -1672, -1472, -1272?
200*n - 2272
What is the u'th term of 2479, 5020, 7561?
2541*u - 62
What is the g'th term of -3511, -7062, -10613, -14164?
-3551*g + 40
What is the k'th term of 49980, 399864, 1349546, 3198924, 6247896, 10796360, 17144214, 25591356?
49983*k**3 + k**2 - 4
What is the o'th term of 3679, 7820, 11961, 16102, 20243?
4141*o - 462
What is the y'th term of 127, 491, 1075, 1861, 2831, 3967, 5251, 6665?
-3*y**3 + 128*y**2 + y + 1
What is the p'th term of -477085, -477086, -477087, -477088?
-p - 477084
What is the z'th term of 123, 565, 1323, 2391, 3763, 5433, 7395?
-z**3 + 164*z**2 - 43*z + 3
What is the k'th term of 5609, 11463, 17317, 23171?
5854*k - 245
What is the s'th term of -490, -343, -100, 239, 674?
48*s**2 + 3*s - 541
What is the i'th term of -301, -753, -1483, -2629, -4329, -6721, -9943?
-23*i**3 - i**2 - 288*i + 11
What is the n'th term of -31211, -31208, -31207, -31208, -31211, -31216?
-n**2 + 6*n - 31216
What is the q'th term of -1626, -3108, -4442, -5622, -6642, -7496?
q**3 + 68*q**2 - 1693*q - 2
What is the u'th term of 9371, 37455, 84259, 149777, 234003?
-u**3 + 9366*u**2 - 7*u + 13
What is the n'th term of -1011, -1568, -2187, -2874, -3635, -4476?
-n**3 - 25*n**2 - 475*n - 510
What is the t'th term of -69, -164, -323, -546, -833, -1184?
-32*t**2 + t - 38
What is the y'th term of 4820, 5152, 5706, 6482, 7480, 8700?
111*y**2 - y + 4710
What is the r'th term of -373, -824, -1273, -1720, -2165, -2608?
r**2 - 454*r + 80
What is the t'th term of -172673, -345342, -518011, -690680?
-172669*t - 4
What is the j'th term of -6335, -25318, -56955, -101246, -158191, -227790, -310043?
-6327*j**2 - 2*j - 6
What is the m'th term of 156, 341, 512, 663, 788, 881, 936, 947?
-m**3 - m**2 + 195*m - 37
What is the u'th term of 232, 631, 1294, 2221, 3412, 4867, 6586?
132*u**2 + 3*u + 97
What is the n'th term of 621, 2465, 5535, 9825, 15329, 22041, 29955?
-n**3 + 619*n**2 - 6*n + 9
What is the s'th term of 53, 106, 159?
53*s
What is the w'th term of 843, 859, 885, 921, 967, 1023?
5*w**2 + w + 837
What is the j'th term of -9745, -9727, -9705, -9685, -9673, -9675, -9697?
-j**3 + 8*j**2 + j - 9753
What is the k'th term of -4700, -18673, -41916, -74429?
-4635*k**2 - 68*k + 3
What is the c'th term of 37, 102, 215, 394, 657, 1022, 1507?
3*c**3 + 6*c**2 + 26*c + 2
What is the f'th term of 8590, 8834, 9080, 9328, 9578?
f**2 + 241*f + 8348
What is the b'th term of -216348, -216345, -216342, -216339, -216336?
3*b - 216351
What is the m'th term of 875, 705, 433, 59, -417?
-51*m**2 - 17*m + 943
What is the c'th term of -52090, -52086, -52082, -52078?
4*c - 52094
What is the y'th term of -25137, -50262, -75387, -100512?
-25125*y - 12
What is the p'th term of -2990, -5989, -9002, -12041, -15118, -18245, -21434?
-2*p**3 + 5*p**2 - 3000*p + 7
What is the q'th term of 750, 766, 792, 828, 874?
5*q**2 + q + 744
What is the v'th term of -8, -17, -60, -161, -344?
-4*v**3 + 7*v**2 - 2*v - 9
What is the u'th term of 94801, 189672, 284543?
94871*u - 70
What is the q'th term of 3564, 3403, 3242, 3075, 2896, 2699?
-q**3 + 6*q**2 - 172*q + 3731
What is the u'th term of 4709, 4718, 4727, 4730, 4721, 4694, 4643?
-u**3 + 6*u**2 - 2*u + 4706
What is the p'th term of 16950, 33909, 50874, 67845, 84822, 101805, 118794?
3*p**2 + 16950*p - 3
What is the g'th term of -744, -2980, -6688, -11856, -18472, -26524, -36000?
2*g**3 - 748*g**2 - 6*g + 8
What is the n'th term of -11429, -45713, -102853, -182849, -285701, -411409?
-11428*n**2 - 1
What is the b'th term of -911, -7106, -23871, -56492, -110255, -190446, -302351?
-881*b**3 + b**2 - 31*b
What is the s'th term of -14918, -29838, -44758, -59678, -74598, -89518?
-14920*s + 2
What is the l'th term of -5444, -5437, -5420, -5387, -5332, -5249, -5132, -4975?
l**3 - l**2 + 3*l - 5447
What is the v'th term of -169, -383, -739, -1237, -1877, -2659?
-71*v**2 - v - 97
What is the x'th term of 11732, 11739, 11752, 11771, 11796, 11827?
3*x**2 - 2*x + 11731
What is the u'th term of -3183345, -3183346, -3183345, -3183342, -3183337?
u**2 - 4*u - 3183342
What is the z'th term of 1321, 1290, 1223, 1114, 957, 746, 475?
-z**3 - 12*z**2 + 12*z + 1322
What is the z'th term of -772, -756, -740?
16*z - 788
What is the d'th term of -28655, -28653, -28651, -28649, -28647?
2*d - 28657
What is the w'th term of -74226, -148455, -222684?
-74229*w + 3
What is the c'th term of -9629, -9393, -8759, -7529, -5505, -2489?
33*c**3 + c**2 + 2*c - 9665
What is the p'th term of -266, -212, -124, -2, 154, 344, 568?
17*p**2 + 3*p - 286
What is the j'th term of 18, -80, -204, -360, -554, -792?
-j**3 - 7*j**2 - 70*j + 96
What is the i'th term of 1893, 7511, 16855, 29925, 46721, 67243, 91491?
1863*i**2 | {
"pile_set_name": "DM Mathematics"
} |
*b - 16, p - 2*b = 8. What are the prime factors of f(p)?
2
Let s(n) = -n**2 + 5*n + 4. What are the prime factors of s(5)?
2
Suppose -400 = 7*j - 9*j. List the prime factors of j.
2, 5
Suppose 11*b - 10*b = 16. List the prime factors of b.
2
Let n be 0/(4/1)*-1. Let d be (-2)/((-1)/(0 + 1)). What are the prime factors of (d - n - 1)*12?
2, 3
Let v(x) = -x - 5. Let d be v(0). Let m be (d + 3)*(-22)/(-4). Let h = -1 - m. What are the prime factors of h?
2, 5
Suppose -5*w = -3*w - 3*i - 171, i + 434 = 5*w. List the prime factors of w.
3, 29
Let y be (-3)/(-15) + (-372)/(-15). Let j = 0 - 0. Suppose -z = -4*n - 14, j = 3*z + 4*n - y - 17. What are the prime factors of z?
2, 7
Let l(i) = i**2 + 9*i - 2. List the prime factors of l(4).
2, 5
What are the prime factors of 12/((-6)/(-2)) - -134?
2, 3, 23
Suppose -3*r - 366 = -3*a, -3*r = -7*a + 2*a + 610. List the prime factors of a.
2, 61
Let q = 8 + -3. Let v(s) = q + 3*s - 2*s + 9. What are the prime factors of v(0)?
2, 7
Let r(w) = -w**3 + w**2 + w + 1. Let m(q) = 7*q**2 - 2*q + 5. Let z(p) = m(p) - r(p). List the prime factors of z(-3).
2, 5
Let p(u) = -4*u + 3. Let g be p(2). Let x(m) = -m**2 - 8*m - 6. List the prime factors of x(g).
3
Suppose -18 = -3*f - 2*r, 4*f - 19 = -2*r + 7. Let u(a) = a**2 - a + 1. Let q be u(2). List the prime factors of 82/f - q/12.
2, 5
What are the prime factors of (-10626)/(-99) + ((-4)/3 - 0)?
2, 53
List the prime factors of ((-5)/((-20)/168))/1.
2, 3, 7
Let q(c) = -c**3 + 13*c**2 - 9*c + 4. What are the prime factors of q(10)?
2, 107
Let x = 86 + -46. List the prime factors of x.
2, 5
Let j = 64 - 116. Let i = -28 - j. Suppose -4*u + 4*x + i = 0, 2*x - 39 = -4*u + 3*x. List the prime factors of u.
11
Let b = -25 - -24. List the prime factors of -6 - -6 - (-45 - b).
2, 11
Let q = -3 - 6. Let x = q - 4. What are the prime factors of (-1 - x/7)*7?
2, 3
Let n(s) = s + 5. Suppose -h - 8 = -2*c, 5 = h + 3*c - 7. List the prime factors of n(h).
5
Let u = 15 - 7. Let p = -4 + u. What are the prime factors of p?
2
Let f(t) = t**3 - 3*t**2 - 3*t - 1. What are the prime factors of f(5)?
2, 17
Let a be (-7)/14 + (-6)/(-4). Let u = a - -3. Suppose 3*r + z - 51 = u*z, -2*r + 3*z = -36. List the prime factors of r.
3, 5
Let o be 1*-1 - (-7 - -6). Suppose -3*r = -o*r. Let q(n) = n + 4. List the prime factors of q(r).
2
Suppose a - j = 173 + 26, -4*a - 5*j = -769. List the prime factors of a.
2, 7
Let m = 10 - 12. Let t(z) = -4*z**3 + z**2 + 2*z + 1. List the prime factors of t(m).
3, 11
Suppose 4*g - 217 = -g + 3*m, -4*g = -5*m - 184. List the prime factors of g.
41
Suppose -3*y = 3, 2*f - 3*f + 9 = -y. What are the prime factors of f?
2
Suppose 4*i - 12 = -4. Suppose -4*m - a + 131 = 36, 2*m + i*a - 40 = 0. List the prime factors of m.
5
Let q = -175 + 336. What are the prime factors of q?
7, 23
Suppose r + z - 1 = 5*z, -2*r = 4*z + 22. Let t = r - -12. Suppose j + 12 = t*j. List the prime factors of j.
3
List the prime factors of (-26)/(-39) + 80/6.
2, 7
Let b be -4*(3/2 - 2). Suppose 4*t = -t + 2*a + 63, -b*t - a = -27. What are the prime factors of t?
13
Let r = 179 + -138. List the prime factors of r.
41
Let m be (-1)/2*10 - -1. Let c = 5 - m. List the prime factors of c.
3
Let o = 5 - 3. Let c = -31 - -43. Suppose -4*a + c = 0, -3*u = o*u - 5*a - 40. List the prime factors of u.
11
Suppose 0 = 5*g + 5*x - 110, -4*g = -2*x - 44 - 74. Let j = -19 + g. Let u = j - 4. List the prime factors of u.
2
Let j(v) = 4 + 4*v - 3*v - 2 + 1. What are the prime factors of j(6)?
3
Suppose -c + 7 = 2. Suppose -7 = -c*p + 13. List the prime factors of p.
2
Let u be (3 + 33/(-9))*-3. Let h(c) = 3*c - 3. Let y be h(u). Suppose 24 + 0 = y*g. What are the prime factors of g?
2
Let x = 4 + -1. Suppose x*a - 21 = -0*a. What are the prime factors of a?
7
Let f = -50 - -91. List the prime factors of f.
41
Suppose -67 = -4*r + 21. List the prime factors of (r - (3 + -6)) + 3.
2, 7
Suppose 4*v - 3*q = 34, -4*v + 2*q + 22 = 5*q. Suppose 0 = 2*m - 3 - v. Suppose 4*i - 86 = -m*r, 3 = -3*r + 9. What are the prime factors of i?
19
Let j(f) be the first derivative of 1/3*f**3 - f - 2 + 0*f**2 - 2*f**4. List the prime factors of j(-1).
2
Let b = 5 + -10. Let h = -1 + 14. Let c = b + h. List the prime factors of c.
2
Let v be -2*3/(-2) + 0. Suppose -v*b + 6 = -b. Suppose d = 2*x + b*x + 37, -2*x + 2 = d. What are the prime factors of d?
2, 3
Let q(m) = -2*m**2 + m + 3. Let v be q(3). Let y = v + 24. Suppose -y = -5*u - 2*f + 23, 4*u + 3*f = 21. What are the prime factors of u?
3
Suppose 5*q - k = -233, 2*q + 2*k + 102 = -2*k. Let p = 78 + q. What are the prime factors of p?
31
Suppose 4*y = -0*y. Suppose -j + 4 - 2 = y. Suppose -j*m = -m - 11. List the prime factors of m.
11
Let n be (-3)/1 - 3*81. Let x be n/9 - (-2)/(-3). What are the prime factors of (x/21)/((-2)/12)?
2
Suppose 0 = 2*b - 0*b + y + 59, 0 = -4*b + 4*y - 148. Let v = 51 + b. List the prime factors of v.
19
Let v = 1 - -3. Let i(m) = -m**2 - 6*m + 3. Let r be i(-6). Suppose -q - 5*h + 2 = 14, -5*h - r = v*q. List the prime factors of q.
3
Suppose 0 = f - 7 - 21. Suppose -2*n + f + 26 = 0. What are the prime factors of n?
3
Let q(r) = -r**2 + 19*r + 13. What are the prime factors of q(16)?
61
Let o(c) = -c + 9. Let r be o(9). Suppose -2*k + 4 = -0*z + 4*z, -3*z + 6 = r. List the prime factors of (3/2 - k)*6.
3, 7
Let z(k) be the second derivative of -k**3/2 + k**2/2 + 4*k. What are the prime factors of z(-9)?
2, 7
Suppose 2*y = 2, -6*d = -2*d - 4*y - 12. Suppose -d*j = 2*k + 32 - 104, 5*k - 40 = -3*j. List the prime factors of j.
2, 5
List the prime factors of (-14)/3*(-4 - -1).
2, 7
Let q(s) = s**2 + 6*s. Let i be q(9). Suppose -8*v + i = -3*v + 2*j, -2*j = 2*v - 54. List the prime factors of v.
3
Let d be ((-6)/(-2) - 2) + 2. Suppose -d*h = -m - 3, 3*m + m = 5*h - 12. Suppose h = 3*u - 0*u - 21. What are the prime factors of u?
7
Let i = -3 + 5. Let k(l) = -6*l**3 + 1. Let u be k(-1). Let q = u + i. List the prime factors of q.
3
Suppose -2*x - 3*d - 9 = -8*d, x - 4*d = -12. Suppose 0 = -4*p - 0*p - 20. Let n = p + x. List the prime factors of n.
3
Suppose -5*g - 5*k + 347 = -303, -2*k + 10 = 0. What are the prime factors of g?
5
Let o(b) = b**3 + 7*b**2 - 10*b - 12. List the prime factors of o(-8).
2
Suppose 3*d - 47 = -3*l + 10, 4*d + 68 = 2*l. What are the prime factors of l?
2, 3
Let f = 5 - 7. What are the prime factors of (-1)/f - 39/(-6)?
7
Let h be (-2)/(-6)*(1 + -4). Let s = 0 - h. Let w(n) = 9*n**2 - 2*n + 1. What are the prime factors of w(s)?
2
Let l be (-20)/8*1*4. Let v = 3 - l. What are the prime factors of v?
13
Suppose 5*u + 3*z - 2*z = 1735, -u = -z - 341. What are the prime factors of u?
2, 173
Suppose -4*f - 4*u = -492, -5*f = 3*u + 257 - 882. Let x = f - 60. Suppose -g - x = -4*w + 3*g, g = -w + 7. What are the prime factors of w?
2, 3
Let q be 3/3 - 2 - 1. Let k = q + 9. What are the prime factors of k?
7
Let f(w) = w**3 + 8*w**2 + 1. Let l be f(-8). Let s = l - 4. What are the prime factors of ((-4)/s)/(-4)*-27?
3
Let i(h) = 31*h - 17. What are the prime factors of i(15)?
2, 7
Let a be 30/9*(-48)/20. Let y be 3/(-1*(-6)/(-8)). Let w = y - a. List the prime factors of w.
2
Let d(t) = 17*t + 1. Let u be d(4). Let v = -16 + u. What are the prime factors of v?
53
Let w(y) = 27*y**2 - 1. Suppose 3 = -b + 4. List the prime factors of w(b).
2, 13
Let w(r) = r**2 - r - 16. List the prime factors of w(-6).
2, 13
Let f be (-15)/(-3) - (2 - 1). Suppose -u + 3*u + 2*x - 12 = 0, -f*u + 4 = -x. List the prime factors of (u - 0)*(-15)/(-10).
3
Suppose 0 = o + 2*v - 12 + 1, -4*o + v + 8 = 0. Suppose q + q = -s + 37, o*q - 164 = -5*s. What are the prime factors of s?
31
Let c be (-2)/8 - (-30)/(-8). Suppose 8*b = 10*b - 128. What are the prime factors of (2 - 3)*b/c?
2
Suppose 17*m + 336 = 2631. What are the prime factors of m?
3, 5
Suppose 2*r - r = c - 77, -c = -5*r - 61. List the prime factors of c.
3
Let y(f) be the third derivative of f**6/120 + 7*f**5/60 - f**4/8 - f**3/3 - 2*f**2. List the prime factors of y(-7).
19
Let q(t) = 3*t - 89. Let c(h) = -h + 30. Let z(d) = -17*c(d) - 6*q(d). List the prime factors of z(12).
2, 3
Let n(l) = -7*l**3 + 2*l**2 + l + 2. Let h be n(-2). Let r = -40 + h. Suppose -6*p + p + r = 2*a, -a - | {
"pile_set_name": "DM Mathematics"
} |
-773 + 2518 - 635)) as b*i**2 + c*i + s*i**3 + z*i**4 + h and give z.
2217
Rearrange 13*c + 12 + 76 + 9*c**2 - 103 + 16 to the form a*c**2 + g*c + h and give a.
9
Rearrange (3 + 1 - 5)*(-3*d - d + 2*d)*(-31 - 1 + 126)*(-4 + 3 + 2) to v + o*d and give o.
188
Rearrange 1216*c**2 - 484 + 1230*c**2 + 99 - 2443*c**2 to the form o*c + k*c**2 + v and give o.
0
Express (-1536*w + 839*w - 1286*w)*(2*w - 6*w - 2*w) in the form g*w**2 + a + x*w and give g.
11898
Rearrange -72*w - 2*w**3 - 15*w**2 - 7*w**3 - 11*w**2 + 3 + 35*w + 36*w to t*w**3 + i*w**2 + r + m*w and give m.
-1
Express 664*j**2 + 14*j**4 - 666*j**2 - 15*j**4 - 2 + 321*j**3 as f*j**4 + g*j**2 + p*j + o*j**3 + b and give p.
0
Express ((1 + 3 - 2)*(2 + 0 - 1) - 41 - 28 + 37)*(4*m - 23171 - 3*m**2 + 4*m**2 + 23168) as c*m**2 + k*m + u and give c.
-30
Express -6*d**4 + 3*d - 229888 - d + 29*d**4 + 229883 in the form v*d + r*d**4 + o + b*d**3 + q*d**2 and give o.
-5
Rearrange (3 - 6 + 1)*((-212 + 376 - 200)*(-2*d + 4*d - 9*d) + 4*d + d - 3*d) + (-2 - 1 + 2)*(1 - 1 - d) to y + s*d and give s.
-507
Express 43*q**2 + 734 + 1814*q**2 - 732 in the form t + z*q**2 + h*q and give t.
2
Rearrange 676*x**2 - 4642*x**2 - 10047*x**2 + (-3*x**2 + 2*x**2 + 0*x**2)*(-2 - 2 + 5) to the form y*x + c*x**2 + s and give c.
-14014
Rearrange (-8311 + 8311 - 282*v**2)*((0 - 4 + 2)*(-1 + 29 - 9) + (4 - 2 - 4)*(-2 - 2 + 3) + 1 - 5 + 2) to i*v**2 + x*v + b and give i.
10716
Rearrange 4*v**2 - 18*v**2 + 17*v**2 - 3 - 4*v**2 + 3 + (2*v + 0*v - 3*v)*(0*v - 3*v + 5*v) - v**2 + 4*v**2 - 4*v**2 to the form f*v + j*v**2 + z and give j.
-4
Express -7*p**2 + 25 + 689*p + 101*p + 115 - 140 as k + i*p**2 + q*p and give i.
-7
Rearrange (158*a**3 - 165*a**3 - 5*a**2 + 15*a**2)*(24 + 24 - 57) to z*a**3 + h*a**2 + d*a + u and give z.
63
Express (-2*w**3 + 0*w**3 + w**3)*(-11293 + 35*w - 21*w - 6598 - 10*w - 19293) as b*w**4 + x*w**3 + t*w**2 + d*w + h and give x.
37184
Rearrange 109388*h + 3*h**2 + 3 - 2 - 109917*h to the form v*h + n*h**2 + p and give v.
-529
Express -7*b**2 + 628*b - 50*b**2 - 625*b as f*b + p + z*b**2 and give z.
-57
Rearrange (41574 - 63764 + 38182 + 24633)*(-2*p - 5*p + 5*p) to x*p + v and give x.
-81250
Express -3*t**2 + 12*t + 10*t + t**3 - 7682 + 7683 + 13*t in the form n*t**3 + w + x*t**2 + k*t and give k.
35
Express (208 + 457 + 258)*(0*g**4 + 9*g**4 + 7*g**4) in the form a*g**2 + l*g**3 + d*g + x + h*g**4 and give h.
14768
Express (1143 - 494 + 289 + 1425)*(-3*d + 5*d - 6*d + (3*d - 4*d - d)*(4 + 0 - 2)) in the form y*d + u and give u.
0
Express 11672 - 199*q - 2*q**2 - 11672 + 211*q + 7*q**3 as f*q + v + x*q**2 + n*q**3 and give x.
-2
Express -105387*w + 2422*w**2 + 52689*w + 52698*w in the form b*w**2 + j*w + i and give b.
2422
Express -4385*d**2 - 4377*d**2 + 8748*d**2 - 166 as k*d**2 + t*d + z and give k.
-14
Rearrange ((-34 - 46 - 23)*(0*l + 0*l - l) + (-1 + 2*l + 1)*(2 + 2 - 6))*(9*l**3 - 4*l**3 - l**3) to the form v*l**4 + g + h*l**2 + x*l**3 + u*l and give v.
396
Express -3 - 64*h + 1123*h**3 - 566*h**3 - 564*h**3 + 1 - 23*h in the form p*h + r*h**3 + k*h**2 + z and give p.
-87
Rearrange 8*b**3 + 1 - b**2 + 8*b**3 + 5*b**3 - 22*b**3 + 24*b**4 to n*b + p*b**2 + u + o*b**4 + c*b**3 and give n.
0
Express (-22194 + 11109 + 11077 - 400*v)*(0 + 0 + v) as z*v**2 + y + f*v and give f.
-8
Express -4450*h + 982 + 447 + 4448*h in the form u + t*h and give t.
-2
Rearrange (-583 + 372 - 212 - 385)*((10*m + 7*m - 5*m)*(-2*m**2 + 2*m**2 + 2*m**2) + 2*m**3 - 6*m**3 + 3*m**3) to y*m**2 + f + z*m**3 + j*m and give z.
-18584
Rearrange 5*h**3 + 1 - 7*h**3 + 28*h**2 + 153*h**2 + 98*h**2 to the form o*h + c*h**2 + x*h**3 + i and give i.
1
Rearrange 5420*g**2 + 1535*g**2 + 3032*g**2 + 1162*g**2 - 2230*g**2 to z*g + a + t*g**2 and give t.
8919
Express -x**2 - 23*x + 78*x - 35*x - 3 - 24*x + 6*x**3 as a + o*x**2 + v*x + g*x**3 and give a.
-3
Rearrange (-5552*z + 1191*z - 2073*z)*(2 + 1 + 0) + (2 - 2 + 2)*(0*z + z + 0*z) to h + u*z and give u.
-19300
Rearrange -3*b**3 - 21 + 165*b**2 + 11 - 84*b**2 - 84*b**2 + 2*b to i + z*b**2 + r*b**3 + m*b and give m.
2
Rearrange h - 2255*h**2 - 771*h**2 - h + 316*h**2 to f*h + y + v*h**2 and give v.
-2710
Rearrange -2*t**2 + 17 - 2*t**3 + 4062692*t**4 + 4*t**2 - 4062720*t**4 to the form w*t + p + j*t**3 + a*t**2 + v*t**4 and give a.
2
Rearrange -11491*g**4 - 11343*g**4 + 10568*g**4 + (-3 + 3 - g**2)*(2 + 3*g**2 - 2) to the form b + x*g**3 + w*g + j*g**2 + a*g**4 and give a.
-12269
Rearrange -422 - 418 + 1670 - 415 - 417 - 437*y to the form v + j*y and give j.
-437
Express (y - 2*y - y)*(74 + 38 + 27)*(3 - 3 + 4) as q + n*y and give n.
-1112
Rearrange 9*u**2 - 2*u**2 - 948*u - 4*u**2 - 2*u**2 + 2 to the form n*u + m + c*u**2 and give n.
-948
Rearrange 0*r**2 + r**2 + r**2 - 266*r + 59 - 59 to the form v*r + i + s*r**2 and give s.
2
Rearrange -74*b**3 - 1 - 548*b**2 - 19*b**3 - 1 + 544*b**2 to o*b**2 + d + y*b**3 + i*b and give d.
-2
Rearrange 3106510 - 3106510 - 5627*f + (-2 + 2 + 1)*(0 - 6 + 3)*(-2 + 2 + 1)*(3*f - f - 4*f) to y + p*f and give p.
-5621
Express 193*b + 189*b**2 + 186*b - 573*b + 183*b + (b - 3 + 3)*(-3 + b + 3) - b + b + 3*b**2 as z*b**2 + a + d*b and give d.
-11
Express 25*v**2 + 37*v**2 + 36*v**2 - 57 - 97*v**2 - 5*v - 2*v**3 in the form a + m*v + i*v**2 + p*v**3 and give p.
-2
Rearrange (-11*g + 5*g - 9*g + (0 - 3 + 4)*(8*g + 8*g - 6*g) - 3*g - 3*g + 7*g)*(10*g + 0*g - g) to h + v*g + l*g**2 and give l.
-36
Rearrange 432 - 11*r - 411 - 12*r**2 + r - 3*r + 2*r**3 - r to the form z*r**3 + m*r + p + g*r**2 and give p.
21
Rearrange (4*y - 3*y + 2*y)*(6 - 30 - 4)*(-2*y + 17*y - 6*y + 2*y - 3*y - 2*y + (-3*y - y + 2*y)*(1 - 1 - 1)) to the form r*y + t*y**2 + b and give t.
-672
Express (26 - 52 + 7)*(t - 2*t + 0*t) - 73*t + 1424 - 713 - 714 + 3*t + t - 2*t in the form v + r*t and give r.
-52
Rearrange (105 - 41*t - 105)*(44*t - 19*t - 23*t - 22*t**2) to b + z*t + m*t**2 + a*t**3 and give a.
902
Rearrange (2*s**2 - 2 + 2)*(4431 + 1183 + 673) to the form w + b*s + q*s**2 and give b.
0
Rearrange 6*y**2 + 1 + 24*y + 41*y**3 - 28*y - 39*y**3 - 2*y**4 to the form x*y + q*y**2 + d + h*y**4 + i*y**3 and give h.
-2
Express (3*i**2 + i**2 - 2*i**2)*(-5 - 4 - 7) + 0*i**2 - 3*i**2 + 5*i**2 + (29*i**2 - 73 + 73)*(-1 - 2 + 2) as d + p*i + a*i**2 and give a.
-59
Express -2*s**2 + 763 - 1413 + 799 + 1014 in the form a*s**2 + k*s + f and give a.
-2
Express (-443 + 443 - 68*x**2 + 3*x)*(-4 + 4 + 2 + (-1 + 2 - 3)*(2 - 4 + 6)) as v*x + o + z*x**2 and give z.
408
Express -7*l + 2*l + 12*l**2 - 13*l - 30*l**2 as w*l**2 + d*l + q and give d.
-18
Express (-2 + 4 + 0)*(4233 + 5696 - 2849)*(-4*p**2 + 2*p**2 - 2*p + 0*p) as q + w*p + z*p**2 and give w.
-28320
Express -120 + i - 201 - 138 + 31 as f + z*i and give f.
-428
Express (7*x + 14 - 14)*(-927 - 1340 - 102 + 386)*(0 + 0 + 1) as w*x + o and give w.
-13881
Rearrange 3*k**3 - 353 - 2*k**2 + 1009 - 5*k - 327 - 17*k**4 - 329 to j*k**4 + a*k**3 + y + z*k**2 + h*k and give h.
-5
Express -951 + 39*k**2 + 29*k**2 + 2*k + 948 - 48*k**2 as t*k + d*k**2 + x and give t.
2
Express (2*l**2 - 4*l**2 + 5*l**2)*(-18 + 629 + 897 - 177) in the form q + d*l + s*l**2 and give s.
3993
Rearrange t**4 + 56 - 3*t - 125 + 7*t**2 + 40 + t**3 + 45 to the form g*t**4 + k*t**2 + p*t + m*t**3 + u and give g.
1
Rearrange -10 + 38*c**2 + 153*c**2 + 32*c**2 to the form k*c**2 + q*c + p and give k.
223
Express 642 - 381 + 672 + 33 - k + 318 as m + f*k and give f.
-1
Express (1 + 2*x - 1)*(11 - 741750*x - 2*x**2 + 740986*x - 1) as t + k*x**2 + j*x + c*x**3 and give k.
-1528
Express 51*h + 64 - 388 - 47*h + (-2*h + 3*h + 3*h)*(0 - 1 + 3) in the form o*h + k and give k.
-324
Express (465*x - 1741*x - 4596*x)*(2*x**2 + x**2 + 0*x**2) in the form r*x**2 + q*x + w*x**3 + z and give w.
-17616
Express 2047*o**2 + 67125 - 134244 + 67121 in the form l*o**2 + z*o + a and give z.
0
Rearrange -2*o**3 - 3*o**4 + o**4 + 7*o**4 + (-2*o**2 + 0 + 0)*(-1 + 1 + 2*o**2) - 25*o**4 - 73*o**4 + 53*o**4 to t*o + m + g*o**3 + n*o**2 + s*o**4 and give s.
-44
Express -32*l - 12*l - 45*l - 38 + 75*l - 2*l**3 as y + u*l**2 + z*l + n*l**3 and give y.
-38
Rearrange 2083*o + 8679 - 8679 to h + g*o and give g.
2083
Express ((2 + 3 - 6)*(4 + 2*z - 4) + 2*z + z - 4*z - 3*z + 2*z - 3*z + 4 - 4 - z + 3*z - z + 0*z)* | {
"pile_set_name": "DM Mathematics"
} |
8 PM?
3:53 PM
What is 685 minutes before 7:56 AM?
8:31 PM
What is 520 minutes after 2:30 PM?
11:10 PM
What is 371 minutes after 5:44 AM?
11:55 AM
What is 524 minutes before 5:20 AM?
8:36 PM
What is 414 minutes after 6:54 PM?
1:48 AM
What is 391 minutes before 2:56 AM?
8:25 PM
How many minutes are there between 1:10 AM and 10:26 AM?
556
How many minutes are there between 3:33 PM and 11:11 PM?
458
How many minutes are there between 6:52 PM and 12:45 AM?
353
What is 154 minutes before 11:05 AM?
8:31 AM
How many minutes are there between 11:07 PM and 6:07 AM?
420
What is 539 minutes before 2:10 PM?
5:11 AM
What is 609 minutes after 10:09 AM?
8:18 PM
What is 457 minutes before 6:45 AM?
11:08 PM
What is 481 minutes after 4:46 PM?
12:47 AM
How many minutes are there between 1:50 PM and 1:33 AM?
703
How many minutes are there between 10:29 AM and 3:56 PM?
327
How many minutes are there between 12:15 AM and 2:06 AM?
111
What is 33 minutes before 7:38 PM?
7:05 PM
What is 136 minutes before 9:01 AM?
6:45 AM
How many minutes are there between 6:51 PM and 10:47 PM?
236
What is 203 minutes after 7:44 PM?
11:07 PM
How many minutes are there between 12:07 AM and 8:12 AM?
485
What is 546 minutes after 7:14 AM?
4:20 PM
What is 145 minutes after 2:34 AM?
4:59 AM
How many minutes are there between 4:32 PM and 10:46 PM?
374
How many minutes are there between 4:30 AM and 4:14 PM?
704
How many minutes are there between 1:44 PM and 9:09 PM?
445
What is 12 minutes before 4:53 AM?
4:41 AM
How many minutes are there between 6:11 AM and 10:14 AM?
243
How many minutes are there between 9:36 PM and 11:46 PM?
130
How many minutes are there between 12:29 PM and 11:49 PM?
680
How many minutes are there between 7:36 AM and 3:18 PM?
462
How many minutes are there between 12:46 PM and 2:52 PM?
126
What is 173 minutes before 9:51 AM?
6:58 AM
How many minutes are there between 11:44 PM and 4:42 AM?
298
How many minutes are there between 4:23 PM and 11:31 PM?
428
How many minutes are there between 4:26 PM and 11:16 PM?
410
What is 570 minutes before 11:26 PM?
1:56 PM
How many minutes are there between 7:04 PM and 7:46 PM?
42
How many minutes are there between 1:32 AM and 11:31 AM?
599
What is 172 minutes before 2:53 PM?
12:01 PM
What is 710 minutes after 12:08 AM?
11:58 AM
What is 493 minutes before 9:46 PM?
1:33 PM
What is 322 minutes after 10:33 PM?
3:55 AM
How many minutes are there between 5:17 AM and 11:57 AM?
400
What is 553 minutes after 5:27 PM?
2:40 AM
What is 573 minutes after 2:20 PM?
11:53 PM
How many minutes are there between 3:54 AM and 9:31 AM?
337
How many minutes are there between 11:56 PM and 2:36 AM?
160
What is 265 minutes after 2:12 AM?
6:37 AM
How many minutes are there between 6:49 PM and 3:10 AM?
501
How many minutes are there between 10:44 PM and 8:29 AM?
585
What is 581 minutes after 1:14 AM?
10:55 AM
How many minutes are there between 3:26 AM and 12:45 PM?
559
How many minutes are there between 7:11 AM and 2:37 PM?
446
What is 91 minutes before 12:58 AM?
11:27 PM
What is 539 minutes after 4:28 PM?
1:27 AM
What is 691 minutes after 3:06 PM?
2:37 AM
How many minutes are there between 10:40 AM and 7:14 PM?
514
What is 404 minutes before 5:13 AM?
10:29 PM
What is 270 minutes before 11:24 AM?
6:54 AM
What is 588 minutes before 10:01 AM?
12:13 AM
How many minutes are there between 9:22 PM and 11:22 PM?
120
How many minutes are there between 4:04 AM and 4:42 AM?
38
What is 584 minutes after 4:15 PM?
1:59 AM
How many minutes are there between 10:30 AM and 4:44 PM?
374
How many minutes are there between 9:31 AM and 11:37 AM?
126
What is 627 minutes after 11:28 AM?
9:55 PM
What is 481 minutes after 10:00 AM?
6:01 PM
What is 691 minutes after 8:12 PM?
7:43 AM
How many minutes are there between 2:00 AM and 11:17 AM?
557
What is 424 minutes before 1:49 PM?
6:45 AM
How many minutes are there between 12:47 AM and 1:25 AM?
38
What is 153 minutes after 8:19 PM?
10:52 PM
How many minutes are there between 9:06 AM and 4:40 PM?
454
What is 675 minutes before 12:48 AM?
1:33 PM
How many minutes are there between 6:14 AM and 2:58 PM?
524
What is 700 minutes after 2:22 AM?
2:02 PM
How many minutes are there between 9:36 AM and 12:08 PM?
152
What is 572 minutes before 11:56 PM?
2:24 PM
How many minutes are there between 3:03 AM and 5:09 AM?
126
How many minutes are there between 1:31 PM and 6:51 PM?
320
What is 300 minutes before 10:18 AM?
5:18 AM
What is 289 minutes after 10:06 AM?
2:55 PM
What is 11 minutes after 12:33 PM?
12:44 PM
What is 507 minutes before 5:58 PM?
9:31 AM
How many minutes are there between 7:54 AM and 5:32 PM?
578
What is 353 minutes after 4:05 AM?
9:58 AM
What is 617 minutes after 9:40 AM?
7:57 PM
What is 655 minutes before 4:29 PM?
5:34 AM
How many minutes are there between 1:54 PM and 4:58 PM?
184
How many minutes are there between 8:06 PM and 3:15 AM?
429
How many minutes are there between 3:59 AM and 8:08 AM?
249
What is 467 minutes before 10:26 PM?
2:39 PM
How many minutes are there between 8:07 AM and 11:22 AM?
195
How many minutes are there between 5:57 AM and 4:41 PM?
644
How many minutes are there between 3:15 AM and 2:07 PM?
652
What is 445 minutes before 4:24 PM?
8:59 AM
How many minutes are there between 3:47 PM and 9:24 PM?
337
How many minutes are there between 12:38 PM and 8:06 PM?
448
How many minutes are there between 3:19 AM and 10:56 AM?
457
What is 203 minutes before 10:07 AM?
6:44 AM
What is 605 minutes before 12:56 AM?
2:51 PM
What is 197 minutes before 6:36 PM?
3:19 PM
What is 19 minutes after 10:07 PM?
10:26 PM
How many minutes are there between 6:13 PM and 8:52 PM?
159
How many minutes are there between 10:38 AM and 8:21 PM?
583
What is 88 minutes before 5:30 PM?
4:02 PM
How many minutes are there between 1:36 PM and 4:12 PM?
156
What is 135 minutes before 11:06 PM?
8:51 PM
How many minutes are there between 6:00 PM and 7:43 PM?
103
What is 10 minutes after 11:57 AM?
12:07 PM
How many minutes are there between 6:42 PM and 9:10 PM?
148
How many minutes are there between 7:39 AM and 10:31 AM?
172
What is 391 minutes before 8:20 PM?
1:49 PM
How many minutes are there between 7:31 PM and 8:09 PM?
38
How many minutes are there between 8:14 PM and 6:24 AM?
610
How many minutes are there between 2:26 PM and 12:57 AM?
631
How many minutes are there between 9:38 PM and 6:26 AM?
528
How many minutes are there between 5:09 PM and 11:35 PM?
386
What is 421 minutes after 5:27 PM?
12:28 AM
What is 592 minutes before 12:55 AM?
3:03 PM
What is 588 minutes after 3:25 AM?
1:13 PM
How many minutes are there between 5:41 AM and 7:56 AM?
135
What is 492 minutes after 8:43 AM?
4:55 PM
What is 295 minutes after 6:56 AM?
11:51 AM
What is 98 minutes before 6:47 AM?
5:09 AM
How many minutes are there between 11:27 PM and 7:40 AM?
493
What is 265 minutes before 1:12 AM?
8:47 PM
What is 406 minutes before 8:35 AM?
1:49 AM
What is 410 minutes after 10:32 AM?
5:22 PM
What is 636 minutes after 7:47 PM?
6:23 AM
How many minutes are there between 11:26 AM and 6:07 PM?
401
What is 636 minutes before 2:06 AM?
3:30 PM
How many minutes are there between 8:44 AM and 5:43 PM?
539
How many minutes are there between 2:24 PM and 4:24 PM?
120
How many minutes are there between 5:47 PM and 3:25 AM?
578
What is 657 minutes before 4:49 PM?
5:52 AM
What is 156 minutes after 6:10 AM?
8:46 AM
How many minutes are there between 1:08 PM and 5:20 PM?
252
How many minutes are there between 6:43 PM and 11:41 PM?
298
What is 156 minutes after 7:40 PM?
10:16 PM
What is 372 minutes after 9:34 PM?
3:46 AM
How many minutes are there between 12:54 PM and 4:49 PM?
235
How many minutes are there between 2:27 AM and 3:44 AM?
77
How many minutes are there between 7:23 PM and 7:50 PM?
27
What is 401 minutes after 7:01 AM?
1:42 PM
How many minutes are there between 3:40 PM and 11:52 PM?
492
What is 342 minutes after 8:02 PM?
1:44 AM
How many minutes are there between 1:24 PM and 11:06 PM?
582
What is 315 minutes after 8:47 AM?
2:02 PM
What is 490 minutes after 9:25 AM?
5:35 PM
How many minutes are there between 2:21 PM and 12:33 AM?
612
How many minutes are there between 10:31 PM and 3:08 AM?
277
What is 682 minutes before 3:59 AM?
4:37 PM
What is 136 minutes before 7:26 AM?
5:10 AM
What is 2 | {
"pile_set_name": "DM Mathematics"
} |
44. Round i to 6 dps.
-0.000004
Suppose 2*v = v + 18. Suppose -2*z = -0*z - 2*u + v, 4*u = z. Let n be 7/((-21)/(-1000000))*z. Round n to the nearest one million.
-4000000
Let a = -0.8852 - -0.9. What is a rounded to 3 decimal places?
0.015
Suppose -4*p - 3*m = 407991, 3*m = 3*p - 2*p + 102009. Round p to the nearest 10000.
-100000
Let h = 2 + -2.04. Round h to 1 decimal place.
0
Let b = -0.23000001 + 0.23. Round b to 7 dps.
0
Let f = -0.3 + 0.2. Let i = -54.9055 + 55. Let l = f + i. What is l rounded to 3 dps?
-0.006
Let a = 0.1743047 + -11.1740747. Let v = a + 11. What is v rounded to four dps?
0.0002
Let y = 69 + -166. Let g(q) = q - 2. Let w be g(6). Let i be w/18 - y/9. What is i rounded to the nearest ten?
10
Let h = 18 + -17.9999976. Round h to seven dps.
0.0000024
Let w = 0.27 + -0.2698. Round w to three decimal places.
0
Let t = -37.39 - -38. Let j = 5.9 - 4.28. Let v = t - j. Round v to 1 dp.
-1
Let t = 0.5 - 0.5. Let o = t + 0.2. Let c = 0.200004 - o. Round c to five decimal places.
0
Let j = -21 - -23. Let c = -44983 - -64983. Suppose -2*a + 5*k + 11429 = -8571, 4*k + c = j*a. Round a to the nearest one hundred thousand.
0
Let f = 6 + -4. Let w = f + 0. Let h = w + -2.00056. What is h rounded to four dps?
-0.0006
Let a(r) = -28*r + 2. Let k(o) = 1. Let s(m) = a(m) - 3*k(m). Let f be s(4). Round f to the nearest 10.
-110
Let q(k) = 2 + 3*k**2 + k - k**3 - k. Let p be q(3). Suppose 0 = -n - 5*w - 103, 5*n + 4*w = p*n - 287. What is n rounded to the nearest ten?
-90
Suppose -8 = -w + 4*h, -4*w - 5*h - 10 = -5*w. Let q(j) = -j**2 - 360. Let d be q(w). What is d rounded to the nearest 100?
-400
Suppose 3*z + v - 3008 = -3*v, -2*v - 996 = -z. What is z rounded to the nearest one thousand?
1000
Let u(f) = -873*f - 8. Let z be u(4). What is z rounded to the nearest one thousand?
-4000
Suppose -3*w - 7 = -3*h - 22, 0 = h - 2. Suppose 5*s = 2 - w. Let q be s + (-1)/(-2)*6. Round q to the nearest ten.
0
Let t = -26 - -76. Let l = 1196467048 - 1196467097.9999943. Let i = t + l. Round i to 6 dps.
0.000006
Let l = -84 - -58. Let f = l - -26.55. Round f to one decimal place.
0.6
Let r = 448.81 - 447. Round r to 1 dp.
1.8
Let f = 5 - 2. Let k = -1 + f. Suppose 2*g + 1280000 = -k*g. What is g rounded to the nearest one hundred thousand?
-300000
Let m be (48955/20)/((-2)/(-536)). Suppose 5*q - 2*t + 5*t - 819991 = 0, -m = -4*q - t. What is q rounded to the nearest ten thousand?
160000
Suppose 2*f + f + 18 = 0. Let p be (-2)/3 + 1796/f. Round p to the nearest 1000.
0
Let r = 96 - 95.99903. Round r to four dps.
0.001
Let v(s) = 156001*s**2 - 9*s - 10. Let n be v(10). Suppose 4*t + n = 6*t. What is t rounded to the nearest one million?
8000000
Let m = 560894 - 928046. Let f = -547152 - m. What is f rounded to the nearest 100000?
-200000
Suppose 8 = 2*c + c + f, f = -c + 4. Suppose c*k = k - 160. What is k rounded to the nearest 100?
-200
Let s = -85.6838 - -1.2938. Let p = -85 - s. What is p rounded to one dp?
-0.6
Let m = 0.053211073 + 9.946786687. Let h = -10 + m. Round h to seven decimal places.
-0.0000022
Let c = -133 - -132.9999786. Round c to six decimal places.
-0.000021
Let z(a) = 2*a + 12. Let x be z(-9). Let m(o) = -3610*o**2 + 6*o - 4. Let q be m(x). What is q rounded to the nearest one hundred thousand?
-100000
Let z = 0.03 - -0.06. Let w = 204 + -204.0836. Let m = z + w. What is m rounded to three dps?
0.006
Suppose -5*z + 25 = -3*f, -z + 5 = -4*f - 0*z. Suppose f = -7*i + 2*i. Suppose 5*v = -i*v + 1750. What is v rounded to the nearest one hundred?
400
Let d = 53.0029 - 53. What is d rounded to 3 dps?
0.003
Let k = -965823.4000135 - -965758.4. Let m = 65 + k. What is m rounded to 6 dps?
-0.000014
Let o be 10/55 + (-31)/(-11). Suppose -5*c + o*c - 8186 = 0. Let v = c + 6093. Round v to the nearest 10000.
0
Let y(d) = -d**3 - 5*d**2 - 3*d + 2. Let f be y(-4). Let n be (-200)/(f*3/(-12)). Round n to the nearest 100.
-400
Let t = -1.4 - -0.84. Let y = t - -22.56. Let q = 22.0053 - y. Round q to three decimal places.
0.005
Suppose 3*c + 2 = 14. Suppose -4*y + l + 40 = 0, c*y - l - 56 = 4*l. Let h be -2 + 413332*y/(-6). Round h to the nearest one hundred thousand.
-600000
Let u = -466.23539863 + 2181420.23490863. Let f = u - 2180991. Let l = 37 + f. What is l rounded to 4 decimal places?
-0.0005
Suppose -2*a = 97884409 + 17615603. Let l be a/21 + (-2)/(-7). What is l rounded to the nearest 100000?
-2800000
Let f(w) = -5015*w**2 - 2*w - 2. Let m be f(-2). Let v = m - -10443. Let u = v + 31615. What is u rounded to the nearest ten thousand?
20000
Suppose 3*a + 1412 = 4*a. Suppose -3*u = 6*y - 2*y + 12, -2*y = -4*u - 16. Suppose -5*k + a + 3588 = y. What is k rounded to the nearest 100?
1000
Suppose q = -2*q + 2174970. Suppose 0 = 3*x + 5*n - 7 - 28, -3*n = -12. Let r be q/25 + 2/x. Round r to the nearest 10000.
30000
Let s = 24.87 + -25. Let v = s - -0.129936. Round v to five decimal places.
-0.00006
Let o = -33 + 32.57. Let b = o + -29.57. Let m = b - -30.092. Round m to 2 dps.
0.09
Let r(h) be the first derivative of 429*h**5/20 - h**4/12 + h - 2. Let c(o) be the first derivative of r(o). Let k be c(-1). Round k to the nearest 100.
-400
Let q = 6.4 + -6.4004. Round q to three dps.
0
Let h = -4.6 - -4.599878. Round h to five decimal places.
-0.00012
Let z = 1936172641 - 1936172677.00000124. Let n = 53 + -17. Let k = n + z. Round k to 7 dps.
-0.0000012
Let r = 1.1 - 8.1. Let j = -7.00000005 - r. What is j rounded to 7 decimal places?
-0.0000001
Suppose 2*l = 3*t + 6, -2*t + 0*l = -3*l + 4. Let h be (-959996)/4 + 2/t. What is h rounded to the nearest 100000?
-200000
Let c(r) = -r**3 - 4*r - 4. Let h be c(6). Let s = -8944 - h. What is s rounded to the nearest 1000?
-9000
Let q = -429 + 428.146. Let l = -0.064 - q. Round l to one dp.
0.8
Let n = 2705362 + -4402174. Let q = n + 1696737.0077. Let j = q - -75. Round j to 3 dps.
0.008
Let p(l) = 7700001*l**2 - 2*l + 1. Let o be p(1). Round o to the nearest 1000000.
8000000
Let d = -1.1 + -0.4. Let k = d + 4.6. Let a = k - 3.09942. Round a to four dps.
0.0006
Suppose -z = 3*z - 8. Let h(q) = 4*q - 1 + 16*q + z. Let j be h(2). What is j rounded to the nearest ten?
40
Suppose d = 4*d - 18. Suppose -l + 3 = 0, -4*f + d*l - 11 = l. Let h(t) = -93*t**3 - t**2 + 1. Let a be h(f). What is a rounded to the nearest 10?
-90
Let a = -60 + 113. Suppose 0 = l - 87 - a. Round l to the nearest 10.
140
Let r = 7 - 2.5. Let l = -18.8 + r. Let i = l + 12. What is i rounded to 0 dps?
-2
Suppose 5*t - 6*t = 33000. What is t rounded to the nearest ten thousand?
-30000
Let b = 8.0584 + 0.9368. Let k = b - 9. What is k rounded to 3 decimal places?
-0.005
Let y = -59 + -991. What is y rounded to the nearest one hundred?
-1100
Let u be 1104000/(-3) + (9 - 9). Round u to the nearest 100000.
-400000
Let w = 23.9 + -20. Let d = 9.5 - 3.7. Let z = d - w. Round z to the nearest integer.
2
Let r = -16.1 + 0.1. Let g = r - -16.00003. Round g to 4 dps.
0
Let j = 383633 + -714587. Let v = 1000954 + j. What is v rounded to the nearest 100000?
700000
Let g = -13 - -14.1. Let y = -0.1 + g. Let q = y - 0.99. What is q rounded to 2 dps?
0.01
Suppose -4*b + 1195 = -5*r, 4*b - 1108 = 2*r + 90. What is b rounded to the nearest one thousand?
0
Let p = -3 - -4. Let j = p - 3. Let l = j - -1.99999. Round l to four dps.
0
Let l = 0.02 + 0.08. Let f = l + -0.18. What is f rounded to 1 decimal place?
-0.1
Let f = -13 - -7. Let p = f + 6.4. Let a = p - 0.4000008. Round a to 6 decimal places.
-0.000001
Let j = 42 + -41.99999905. What is j rounded to 7 dps?
0.000001
Let j = 8131170.0000064 - 8131147. Let u = -23 + j. Round u to six dps.
0.000006
Let v = 38.19 - 38. Let x = -1282.2 + 1282.01093. Let k = v + x. What is k rounded to 4 dps?
0.0009
Let q = -0.9 - -0.89998. What is q rounded to five decimal places?
-0.00002
Let a be (-7 + -3 - -4)/(2/(-610)). Round a to the nearest one hundred.
1800
Let x = 18794 - 8694. Round x to the nearest one thousand.
10000
Let y = -7 + 40. Let v = -32.99977 + y. What is v rounded to 4 decimal places?
0.0002
Let n = 5 + -13. Let l = 5 + n. Let z be 117005/(-15) - 1/l. What is z rounded to the nearest 1000?
-8000
Let u = -8.6 - -7.74. Let l = 0.01 + u. Let g = l + 0.772. Round g to two dps.
-0.08
Let x = -0.06 - -1. | {
"pile_set_name": "DM Mathematics"
} |
lve -107*s + 396 = -124*s + 855 for s.
27
Solve 5622*d = 5207*d - 19090 for d.
-46
Solve -262 = 45*g + 167 - 24 for g.
-9
Solve 947 = 51*k - 124 for k.
21
Solve -422*i - 235*i - 473 = -184*i for i.
-1
Solve -457804 + 141139 = 5674*y + 290453 for y.
-107
Solve -2780*b + 4996*b - 80900 - 28832 = -5622*b for b.
14
Solve -999*h = 1920 + 30039 + 3006 for h.
-35
Solve 3386*f = 27401 - 142525 for f.
-34
Solve 32351*l = 32544*l - 7720 for l.
40
Solve -774*n + 399 + 571 = -736*n - 56 for n.
27
Solve 2405*x + 2714*x = 527257 for x.
103
Solve -1759*v = -1899*v - 657 + 237 for v.
-3
Solve -171*o + 401*o = -1073*o - 57332 for o.
-44
Solve 189208 - 179112 = 631*t for t.
16
Solve 182*l - 45802 = -41434 for l.
24
Solve 424*s = 146*s - 200*s + 19598 for s.
41
Solve 392*p - 1093*p = -787*p - 7482 for p.
-87
Solve -491862 - 160746 = 7709*j + 25784 for j.
-88
Solve 79*a + 4254 = 658*a + 130*a for a.
6
Solve -15544 + 13510 = -226*v for v.
9
Solve 1240*x = -22193 + 7066 - 7146 - 7487 for x.
-24
Solve -10026 = 45*c - 10116 for c.
2
Solve -1571*z = 2118*z - 7469 + 217742 for z.
-57
Solve -3*c - 3056*c = -83580 + 25459 for c.
19
Solve 5*q + 84*q + 8*q - 14*q + 4150 = 0 for q.
-50
Solve -1598*l - 100149 = 159*l for l.
-57
Solve -687*q - 430*q = -162*q - 116510 for q.
122
Solve -151*y + 42*y + 3350 = 90*y + 11708 for y.
-42
Solve -3817*p - 102697 = -213309 + 321853 + 307871 for p.
-136
Solve 2929*g - 132549 - 184132 = 45503 - 60497 for g.
103
Solve 1673 - 7423 = -230*o for o.
25
Solve 117*x - 326*x + 61855 = 482*x + 4*x for x.
89
Solve 1184*i + 35150 = 690*i + 1197*i for i.
50
Solve -28577 = 1343*p + 10078 + 5332 + 5704 for p.
-37
Solve -262*l = 319*l + 817*l - 137004 for l.
98
Solve -38*l - 58501 = -58539 for l.
1
Solve 39*v - 990 = 105 - 159 for v.
24
Solve -17585 = 214*h + 506*h - 12265 + 23480 for h.
-40
Solve -51697 = 2778*l + 37199 for l.
-32
Solve -3513 - 4205 = -211*w - 243*w for w.
17
Solve 1861*k - 912*k - 894*k = 278 + 2857 for k.
57
Solve -23763*c - 238 = -23749*c for c.
-17
Solve -2248 = -319*b + 109*b + 902 for b.
15
Solve -1173 = -647*d - 8115 - 175 for d.
-11
Solve -4310 = -338*m + 7858 for m.
36
Solve -2877*k - 749 + 8853 = -23543 for k.
11
Solve -489713 + 73361 = 5561*a + 263480 - 45878 for a.
-114
Solve 183*v - 46*v + 11218 = -8274 + 13327 for v.
-45
Solve 0 = -1438*w + 51035 + 12482 + 28515 for w.
64
Solve 55*v - 272 = 183 + 95 for v.
10
Solve 90*x + 8240 + 2076 = 1586 for x.
-97
Solve -156*r + 4353 = -107*r + 205*r - 9871 for r.
56
Solve 4269*q = -171*q - 204240 for q.
-46
Solve -419*a - 290*a + 7007 = -170*a for a.
13
Solve -497*h - 12644 + 15129 = 0 for h.
5
Solve -13350*a = -12523*a + 20675 for a.
-25
Solve 1246*o + 14287 + 11879 = 0 for o.
-21
Solve 387*b = -4570 - 2271 - 8252 for b.
-39
Solve -49290*m + 47912*m = 97838 for m.
-71
Solve 113*m - 45*m = 293 - 701 for m.
-6
Solve 1331*s + 43992 = 109*s for s.
-36
Solve 1901212*o + 53010 = 1900654*o for o.
-95
Solve -3090 = -14*b - 28*b - 61*b for b.
30
Solve 0 = -34*v - 1479 + 3825 for v.
69
Solve 544*z = 393625 - 439865 for z.
-85
Solve 2415 - 7700 = -117*g - 34*g for g.
35
Solve -185*b - 374*b = -1197*b + 16588 for b.
26
Solve 38*s + 4688 = 3814 for s.
-23
Solve 411044 = 16648*x - 858*x + 1421604 for x.
-64
Solve 25*a = 71 - 1647 - 424 for a.
-80
Solve 830*a - 966*a - 12920 = 0 for a.
-95
Solve -3041*r - 316*r - 473164 = 1293*r - 17464 for r.
-98
Solve -1406*f - 80122 - 9862 = 0 for f.
-64
Solve 23*z - 852 + 597 = 79*z + 2041 for z.
-41
Solve -508*t - 184*t = 0 for t.
0
Solve -298*n + 718 - 3499 - 7875 = 1860 for n.
-42
Solve 0 = 146*r - 1702251 + 1709113 for r.
-47
Solve 9*p - 6*p + 4*p = -p - 376 for p.
-47
Solve 0 = -4740*u - 9567*u - 786885 for u.
-55
Solve 0 = -155*t - 227271 + 240756 for t.
87
Solve -34*z + 17787 = 505*z for z.
33
Solve 576*o - 70736 = -83984 for o.
-23
Solve 315*w - 1409*w - 308*w + 131794 = 2160*w for w.
37
Solve -26*a + 5057*a + 39162 - 112447 = 153110 for a.
45
Solve 179*s - 79*s + 134*s = -119*s + 7060 for s.
20
Solve -759*z - 30562 + 15706 = -2301 + 31467 for z.
-58
Solve -7388 - 5419 = 199*k + 526 for k.
-67
Solve 0 = -58*v - 12666321 + 12661797 for v.
-78
Solve 0 = -24*n - 76273 + 76681 for n.
17
Solve -7*h - 111*h - 282 - 479 = 1599 for h.
-20
Solve 712*x + 2058 = -1937 - 989 for x.
-7
Solve -1782*r + 327*r + 5783 = -8767 for r.
10
Solve -1235738 = 165*x - 1245968 for x.
62
Solve 18328*u = 18307*u + 567 for u.
27
Solve -685*f + 522*f - 2388*f - 48469 = 0 for f.
-19
Solve 238*l + 195*l + 4839 = -362*l - 15036 for l.
-25
Solve -46*d - 78 = -288*d - 951 + 8617 for d.
32
Solve 220 = -6922960*k + 6922940*k for k.
-11
Solve -15248 = -3665*z + 3301*z + 2033 - 1265 for z.
44
Solve 58450*b + 63 + 468 = 58627*b for b.
3
Solve 2*n - 321 = -351*n + 890 + 6202 for n.
21
Solve 35*h - 2*h - 1124 = -1619 - 1089 for h.
-48
Solve 2203859*y + 2888 = 2203935*y for y.
38
Solve -650*m - 2183 + 7287 = -331*m for m.
16
Solve -5706583 = 124*o - 5701003 for o.
-45
Solve 6238 = 78*k + 100*k - 1060 for k.
41
Solve 33*v = -22*v + 107*v + 520 for v.
-10
Solve -548 + 812 = 88*r for r.
3
Solve -221*t - 1246*t + 123*t + 11808 = 624*t for t.
6
Solve -31*c = -145*c - 29*c - 3003 for c.
-21
Solve -2054*z - 18197 + 4684 = 14478 + 765 for z.
-14
Solve 210*w + 139*w - 151*w + 2574 = 0 for w.
-13
Solve -30341 = -1642*x + 40265 for x.
43
Solve -3616*p = -3906*p - 1450 for p.
-5
Solve -923*w + 136*w = -32267 for w.
41
Solve -21914*f - 708347 = 869461 for f.
-72
Solve 62*f - 1564721 = -1562551 for f.
35
Solve -9062*h = -25343*h + 68284 - 247375 for h.
-11
Solve 0 = 38*h + 2891 - 4145 for h.
33
Solve -1437*i = -1041*i + 1212*i + 818*i - 114022 for i.
47
Solve -330*f + 7700 = 613*f + 15326 - 104755 for f.
103
Solve 1805 = 429*a - 6775 for a.
20
Solve 260902 = -518*g - 393*g - 876*g for g.
-146
Solve -2470 + 648 + 181 = -78*z + 3039 for z.
60
Solve -164431 + 171569 = 86*u for u.
83
Solve -1260*c = -2605*c - 25555 for c.
-19
Solve 923*k - 494458 = -469537 for k.
27
Solve 1457 = 3501*x - 3707*x - 199 + 18136 for x.
80
Solve 159*v - 1543*v - 754*v = 32070 for v.
-15
Solve -10*k + 1185 + 615 = -46*k - 14*k for k.
-36
Solve 662*y = 720*y + 464 for y.
-8
Solve -4959*h = 2542*h + 607581 for h.
-81
Solve -1931*j + 66865 = 29857 - 90438 for j.
66
Solve 0 = 1817*z + 1410*z + 232344 for z.
-72
Solve -5887*z - 20550 + 248925 = -2842*z for z.
75
Solve -972*u + 151175 = -1550*u - 3955*u - 293059 for u.
-98
Solve -17103*x + 17195*x - 3645 = 4267 for x.
86
Solve -1092*j + 4041 = 31768 + 33425 for j.
-56
Solve 2772*l + 45227 + 112777 = 0 for l.
-57
Solve 0 = 1743*m - 110751 + 6171 for m.
60
Solve -477*i - 5052 = -360*i + 213 for i.
-45
Solve 0 = 503*o + 622*o - 4500 for o.
4
Solve 1795*b + 114*b = 212*b + 86547 for b.
51
Solve -227*w = -1114*w - 2085*w - 297200 for w.
-100
Solve 514*n + 276*n + 2978 = 33*n + 8277 for n.
7
Solve 174749 = 12*r + 174977 for r.
-19
Solve 5399*h - 11118 = 3546*h for h.
6
Solve -42*m + 2750*m + 136320 = 578*m for m.
-64
Solve -366*t = 11138 + 30952 for t.
-115
Solve 363 = 120506*k - 120495*k for k.
33
Solve 0 = 35*g + 89 - 2399 for g.
66
Solve -219*q + 57*q = -3726 for q.
23
Solve -3855*w + 6334*w - 74370 = 0 for w.
30
Solve 117*n - 1078633 + 1076293 = 0 for n.
20
Solve -201030 = -8564*d + 395714 + 131196 for d.
85
Solve -7070728 = -63*g - 7071484 for g.
-12
Solve -381*n = 406*n - 53*n + 33030 for n.
-45
Solve -595*t + 84908 = 2566*t + 258393 + 82556 for t.
-81
Solve -4092*x - 1343*x + 72884 = -111906 for x.
34
Solve -134386 = 912*w - 569*w + 1974*w for w.
-58
Solve 6508*m - 324*m = 475*m - 60819 - 47652 for m.
-19
Solve 155*j + 48 - 437 = -137 - 97 for j.
1
Solve 703*r + 35515 - 2537 = -3578 for r.
-52
Solve -135*s = 734 - 408 + 2914 for s.
-24
Solve 518*z + 34597 - 2454 = -22765 for z.
-106
Solve -3604*d = -81749 + 118046 + 122279 for d.
-44
Solve -428936*r = -428840*r - 96 for r.
1
Solve 970*a - 33879 = -3303 + 13074 for a.
45
Solve 4490*c = 2991*c + 64457 for c.
43
Solve -65*v + 12595 = -140*v + 135*v + 169*v for v.
55
Solve -7186 - 37574 = 152*t - 29*t + 250*t for t.
-120
Solve 800 = 57*f - 1353 - 355 - 456 for f.
52
Solve 0 = 758*g + 87563 - 70129 for g.
-23
Solve -587157 - 362048 = -10415*r + 258935 for r.
116
Solve 0 = 279*p + 17159 + 5253 + 8836 for p.
-112
Solve 98*f + 503 = 1188 + 27 | {
"pile_set_name": "DM Mathematics"
} |
4/8 + j**3/6 - j. Let p(w) be the second derivative of b(w). What is the units digit of p(8)?
1
Suppose 0 = -4*o + w + 3*w + 160, -3*w + 132 = 4*o. What is the tens digit of o?
3
Suppose 0*g - 3*g + o + 29 = 0, 0 = 3*g + 5*o - 17. What is the units digit of g?
9
Let u(a) = -2*a - 4. Let h be u(-3). Let y be (-43)/(-3) - 1/3. Suppose y = h*k - k. What is the tens digit of k?
1
Let p = 0 + -4. What is the units digit of (p/(-10))/((-1)/(-10))?
4
Let t(l) = 7 + 3*l - 3 + 1. What is the tens digit of t(6)?
2
Suppose -5*v = -3*j + 26 - 10, 3*j - 4*v - 14 = 0. Suppose -3 = -j*p + 3. Suppose -6 = -c - 2*d, -4*d + d = -p. What is the units digit of c?
4
Suppose -4*q + 0*a - 2*a + 6 = 0, 2*a = 2*q. What is the units digit of 318/15 - q/5?
1
Suppose 0 = -c - 4*d + 123, 0*c + 5*c + 4*d - 583 = 0. Suppose 4*w = -w + c. What is the tens digit of w?
2
Let h(r) = -3*r**3 - 2*r**2 + 3*r + 3. Suppose 15 = -q - 4*y - 7, 5*y = -5*q - 35. What is the tens digit of h(q)?
1
Let q(z) = -z**2 + z + 24. Let u be q(0). Suppose 0 = 4*d - 4*i - u, -4*d + 2*i = -11 - 7. What is the units digit of d?
3
Let x(m) = m**3 + m**2 - 10*m + 7. What is the hundreds digit of x(6)?
1
Let t be (8/(-12))/((-4)/(-6)). Let c be (1/1)/t*-2. What is the units digit of (-5 - 1)/(c + -4)?
3
Suppose 5 = -0*s + 5*s. Suppose 5*b - 5*i - 10 = 0, 5*b - 11 = -i - s. Suppose b*y = -0*y + 22. What is the tens digit of y?
1
Suppose 3*c = -0*c - 36. Let r be 40/c*(-6)/5. Suppose r*w = 33 - 13. What is the units digit of w?
5
Let v = 3 - 5. Let n = 7 + v. Suppose h - 3*b + 56 = 5*h, n*b - 14 = -2*h. What is the tens digit of h?
1
Let r be 43 - (-4 - (1 - 1)). Suppose -4*a + 69 = -r. What is the tens digit of a?
2
What is the units digit of 834/15 + 2/5?
6
Let v be -34*2*(-3 - (-5)/2). Let d be (-1 + 5)*(-2)/(-4). Suppose -5*s + d*s = -5*l + 34, -4*l + v = s. What is the units digit of l?
8
Suppose 0 = -o + 3 - 1. Suppose -o - 3 = -5*s. What is the units digit of s?
1
Let k = 17 - 11. What is the tens digit of (k/(-5))/(1/(-30))?
3
Suppose -14 = -4*o + 26. What is the units digit of o?
0
Let p(v) = -v + 10. Let a be p(6). Let g be 3/12*0 - -3. Let j = a - g. What is the units digit of j?
1
Suppose -29 + 4 = -5*s. Let o(f) = f + 2. Let c be o(2). Suppose -v + 0*t = -s*t - 3, c*v + t - 12 = 0. What is the units digit of v?
3
Let y = 102 + -47. What is the tens digit of y?
5
Suppose -386 = -4*h + 66. What is the tens digit of h?
1
Suppose -42 = -7*a + 5*a. Suppose -21 = -3*w + a. What is the tens digit of w?
1
Let m = -541 - -840. What is the hundreds digit of m?
2
Suppose 0 + 5 = -l, -3*x + 660 = -3*l. What is the units digit of x?
5
Suppose 0 = -3*q - 4*m + 29, m - 43 = -4*q - 0*m. What is the tens digit of q?
1
Let z(h) = -h**2 - 3*h + 2. Let u(c) = -c**3 + 8*c**2 - 8*c + 4. Let y(o) = 2*o + 1. Let t be y(3). Let d be u(t). What is the units digit of z(d)?
2
Let h = -269 - -409. What is the tens digit of h?
4
Let x(p) = -p**2 + 3*p. Let n be x(3). Suppose n = 4*r - 3*r + 3. Let w = -2 - r. What is the units digit of w?
1
Let o = 22 + -15. Suppose 0 = 4*d - 3*d + o. Let h(w) = -w - 1. What is the units digit of h(d)?
6
Suppose 3*c - 8 = -c. Suppose -19 = -c*g - 5. Let f(k) = -k**3 + 8*k**2 - 8*k + 10. What is the units digit of f(g)?
3
Let r(k) = -k**2 + 7*k - 4. Let a be -3*(1 + 24/(-9)). What is the units digit of r(a)?
6
Let o(f) = -f + 1. Let z be o(1). Let p(g) = -g**3 + g**2 - g + 1. Let s be p(z). Suppose -s + 4 = y. What is the units digit of y?
3
Suppose 2*c - 4*j = c - 6, 0 = -c - 3*j + 8. Let g(n) = n**3 + 5*n**2 - 6*n - 4. Let u be g(-5). Suppose 0*o = -c*o + u. What is the tens digit of o?
1
Let l(r) = 3*r - 9. Suppose 3 - 31 = -4*f. Let v be l(f). What is the units digit of 3/(-2)*v/(-18)?
1
Suppose -6 = -5*n + 2*n. Suppose -2*o - n*o = -44. What is the units digit of o?
1
What is the units digit of (1056/60)/(1/5)?
8
Suppose -3*z = 2*w + w - 189, -47 = -z + 3*w. What is the tens digit of z?
5
Let b(r) = -41*r**3 + r**2 + r + 1. Let k be b(-1). Suppose 2*v + 72 = 5*v. What is the units digit of (8/v)/(2/k)?
7
Let v = 14 + -12. Suppose -v*a + 4*a + 61 = 5*t, 2*t = 3*a + 31. What is the tens digit of t?
1
Let u be 0 - (-4)/((-8)/(-6)). Suppose -u*l + 8 = 2. What is the units digit of -2 - (-2)/l*12?
0
Let t(d) be the second derivative of 2*d**3/3 + d**2/2 - 2*d. Suppose 2*o + 3*p = 23, p - 5*p + 16 = -o. What is the units digit of t(o)?
7
Suppose 0 = -a - 4*a. Let g be (-9 - (-4 + 1))/(3/(-2)). What is the units digit of (-1)/((-2)/g - a)?
2
Let y be 6/30 - (-72)/(-10). Let o(t) be the second derivative of t**4/12 + 5*t**3/6 - 4*t**2 - t. What is the units digit of o(y)?
6
Let r be (-16)/56 + 74/14. Suppose -r = i - 12. What is the units digit of i?
7
What is the units digit of 8010/40 + 2 - (-1)/(-4)?
2
Let j(i) = -8*i**2 - i**3 + 6*i + 2*i**2 - 1 + 0*i**3. Let s(o) = 8*o**3 + 2*o**2 + o. Let u be s(-1). What is the units digit of j(u)?
6
Suppose -25 = 3*u + 23. Let d = -3 - u. Let j = d - 7. What is the units digit of j?
6
Let s(r) = 6*r - 8. Let c be s(6). Let k(z) = z**3 + 3*z**2 - 2. Let w be k(-2). Suppose w*h - c + 8 = -3*a, h - 5*a = -3. What is the units digit of h?
7
Let s(z) = 9*z**2 + 1 - z**2 - 2*z**2 - z. Let k be s(1). Let d = 11 - k. What is the units digit of d?
5
Suppose -117 = 5*h + 4*h. Let j = 24 - 6. Let o = h + j. What is the units digit of o?
5
Let k be 39 - (0 + -2 + 2). Let w = k + -22. What is the tens digit of w?
1
Let m be ((-18)/(-27))/(4/210). Let d = m - 19. What is the tens digit of d?
1
Let a = 2 - -1. Let q(z) = -z**2 + 5*z + 4. What is the tens digit of q(a)?
1
Suppose -2*c + 5*p - 35 = 2*c, 0 = -3*c - 3*p - 33. What is the units digit of 18/45 + (-206)/c?
1
Let l(p) be the first derivative of -7*p**2/2 - 11*p - 7. What is the tens digit of l(-8)?
4
Let z(b) = -2*b**2 + 10*b - 7. Let v(o) = 3*o**2 - 11*o + 7. Let y = -4 - -8. Let g(k) = y*z(k) + 3*v(k). What is the units digit of g(-8)?
1
Suppose 105 = 2*q + q. What is the units digit of q?
5
Let z be (1/2)/(2/4). Let x = z - -2. Let s = 1 + x. What is the units digit of s?
4
Let l(i) = 2*i - 7. Let c(y) = 5*y**2 - y + 2. Let g(b) = 9*b**2 - 2*b + 3. Let q(d) = -5*c(d) + 3*g(d). Let z be q(2). What is the units digit of l(z)?
3
Let n = -341 - -632. What is the hundreds digit of n?
2
Let q = 0 - -1. Suppose 5*v + q = -0*v + 2*h, -5*h + 10 = -5*v. Let c(d) = 2*d**3 + d**2 + d - 1. What is the units digit of c(v)?
3
Suppose 6 = -q - 0*q. Let v = 38 - q. What is the tens digit of v?
4
Let x be (-5)/(-1)*(2 - 1). Suppose x*a - 6 = -1. Let l = a - -2. What is the units digit of l?
3
Let j(x) = -x**2 + 7*x - 7. Suppose -2*t + 8 = -4*c + 5*c, -5*c = t + 5. Let v be j(t). Suppose -5*l + 53 - v = 0. What is the units digit of l?
0
Let a(i) = -i**2 + 4*i - 1. Let u be a(3). Let q = -9 + u. What is the tens digit of (-4 - -6)*q/(-1)?
1
Let l(u) = 4*u. Let g be l(1). Suppose g*b - 24 = -4*q, -q + 0*b = -2*b + 3. Suppose 0 = -q*v + 5*k + 56, 4*v = 4*k - 1 + 65. What is the tens digit of v?
1
Suppose 0 = c + 5*y - 26 - 13, -64 = -2*c - 3*y. What is the tens digit of c?
2
Let w(k) = -11*k**3 - 2*k**2 + 2*k + 2. What is the tens digit of w(-2)?
7
Let k(o) = 8*o**2 - o - 3. Let y(a) = -8*a**2 + 2*a + 4. Let m(u) = 4*k(u) + 3*y(u). What is the units digit of m(-2)?
8
Let b(m) = -5*m - 16. What is the tens digit of b(-8)?
2
Suppose -3*o + 171 = 4*g - 4*o, -5*g - 3*o + 235 = 0. What is the tens digit of g?
4
Let v(t) = 2*t + 1. Let q be v(3). Let o(d) be the first derivative of d**3/3 - 3*d**2 + 10*d - 14. What is the units digit of o(q)?
7
Let y(i) = i**2 - i - 9. Let t(v) = -6 - 5 - 5 - 2*v + 6 + v**2. Let l(r) = -5*t(r) + 6*y(r). What is the units digit of l(-6)?
8
Let k(u) = -u - 1. Let s be k(-4). Let l = s + -2. What is the units digit of l*(0/1 - -9)?
9
What is the units digit of (3 - -3)*62*18/24?
9
Let f be 1 + 2 - 3/(-1). What is the units digit of (-8)/(1 - f/4)?
6
Let x = -7 + 11. Let p be (2/x)/(1/2). What is the tens digit of p + (-1)/((-2)/30)?
1
Suppose -14 + 5 = -c. Suppose 5*r - c*r = -72. What is the units digit of r?
8
Let c(r) = -2*r - 7. Let b be c(-6). Suppose 0 = z - 2*y, b*z - 3*y = -2 + 9. Suppose -2*j = -3*n + 28, 3*n + j - 48 = -z*j. What is the units digit of n?
2
Let o(u) = 4*u**2 - u + 1. Le | {
"pile_set_name": "DM Mathematics"
} |
-13 = 3*p - a. Put p, -3/7, 1/3 in decreasing order.
1/3, -3/7, p
Let i be 14 - (0 - 0)/2. Suppose -q - 4*n + 9 = -16, -3*q + 2*n + 33 = 0. Suppose q*j - 7 = i*j. Put j, -2, 1 in increasing order.
j, -2, 1
Let v = 1.5 + 1.8. Let g = -1.3 + v. Let t = -2 + 7. Sort g, 0.05, t in descending order.
t, g, 0.05
Let l(y) = -2*y**2 + 0*y + 3*y**2 - 4*y. Let v be l(2). Let x = 163 - 158. Sort x, 0, v in ascending order.
v, 0, x
Let l = 0.018 - 6.118. Let y = 4.2 + l. Let t = -1.1 + y. Put 0.4, -5, t in ascending order.
-5, t, 0.4
Let q(k) = k - 1. Let z be q(-4). Suppose -5*g + 3*u + 10 = -2*u, -g = -5*u - 18. Suppose 288 = -26*x - 46*x. Sort z, g, x.
z, x, g
Let z = -4 - -90. Let j = z + -60. Let k be j/117 - 4/18. Put -4, k, -1 in ascending order.
-4, -1, k
Let v = 114.99 - 26.99. Sort 1/3, v, -3, 1 in ascending order.
-3, 1/3, 1, v
Let r = 37 - 37. Put -2/5, r, 2 in ascending order.
-2/5, r, 2
Let s = 525 + -513. Suppose -3*c = -c - 2. Put -4, s, c in decreasing order.
s, c, -4
Suppose -4*r + w = -2*w - 20, -25 = -5*r + 3*w. Suppose -2*m + 11 = 4*f - r, 4*f - 3*m + 4 = 0. Sort f, -4, 4 in ascending order.
-4, f, 4
Let b(i) = 0*i + 8*i - 27 - 40. Let m be b(9). Let w = 3 - 6. Sort m, -2, w in descending order.
m, -2, w
Suppose 270 = 3*c + 3*s, 6 + 74 = c - 4*s. Let t = -93 + c. Put 4, 3, t, -1 in decreasing order.
4, 3, -1, t
Let v(f) be the first derivative of -f**4/4 - 2*f**3 + 7*f**2/2 + 5*f - 25. Let z be v(-7). Put z, 3, -36 in decreasing order.
z, 3, -36
Let a = 255 + -259. Let t = 0.06 + 0.44. Let o = -0.7 + t. Put 10, o, a in ascending order.
a, o, 10
Suppose 274 = -3*j + 262. Sort 2, -1, j, 4 in descending order.
4, 2, -1, j
Let s = -327.06 - -327. Put -3, -4, s, 0.3 in descending order.
0.3, s, -3, -4
Let i be 3/12*(-10 - 2). Sort 31, i, 0 in decreasing order.
31, 0, i
Let l = -210 - -205. Sort 103, l, -0.3 in descending order.
103, -0.3, l
Let d be (-4*(-2 + 1))/1. Let y = 2776 - 2781. Put d, -34, y in descending order.
d, y, -34
Let v = -0.3241 - 0.0759. Put -6, v, -0.6, -1/2 in increasing order.
-6, -0.6, -1/2, v
Suppose 0 = 2*r + 3*r + 15. Suppose -3*p = -8*p + 35. Suppose 5*y - 22 = 3*m, -p*y + 4*y - 4*m = -19. Put y, 2, r in ascending order.
r, 2, y
Let v(f) = f**3 - 49*f**2 - 4*f - 86. Let h be v(49). Sort 2, h, 5 in decreasing order.
5, 2, h
Let h be (11/3)/(127/(-1143)). Let r be -2 + 2 + 1 + 1. Sort r, 5, h in ascending order.
h, r, 5
Let u be (8/(-14))/(36/(-252)). Sort -14, -2/7, u, -0.1 in descending order.
u, -0.1, -2/7, -14
Let q be (-13 + 1)*(-2)/8. Suppose -5*b = -6 + 16. Put b, 1, q in ascending order.
b, 1, q
Let d = 19577643/130 + -150598. Let x = 9/26 + d. Let a = 2.2 + -2. Sort a, x, -3/8.
x, -3/8, a
Suppose 44*q + 28*q = 72. Sort -57, q, 5 in decreasing order.
5, q, -57
Let l = -2 - -2. Suppose -c + 3 = 0, c = 5*f + 4*c - 34. Let a be (1 + f)/84*2. Sort l, -2/11, a in descending order.
a, l, -2/11
Let q = 15/19 + -18/95. Sort 5, q, -0.5, -5.
-5, -0.5, q, 5
Let d = 956 - 956.1. Let k = -8.93 - -9. Sort 4, -1/3, k, d in decreasing order.
4, k, d, -1/3
Let q = 3 - 2.5. Let j = 20923 - 20923.3. Put 2/7, j, q, -5 in decreasing order.
q, 2/7, j, -5
Let x = 1155 + -1158. Sort x, -4, -5, -7.
-7, -5, -4, x
Let m = -3 + 3. Let b be ((-18)/(-36))/((-55)/(-20)). Sort m, b, -0.2 in increasing order.
-0.2, m, b
Let f = -0.2 + 1.2. Let n = -43 + 41. Let t = n + 1.7. Sort t, 2, f in ascending order.
t, f, 2
Let t = 133 - 100. Let a = 33 - t. Put a, -1, 1 in ascending order.
-1, a, 1
Let v = 48 - 46. Sort 1/8, -8, v, -4 in ascending order.
-8, -4, 1/8, v
Let a = 1086 + -1034.1. Let u = -52 + a. Sort 1, 5, u in ascending order.
u, 1, 5
Suppose 0 = 5*a - 4*y + 19 + 4, -y = a + 1. Put a, -9, 3/4 in increasing order.
-9, a, 3/4
Suppose 1 - 6 = -2*m + 5*n, 0 = -4*m - 3*n + 23. Suppose i - 100 = 5*z, -2*z - 51 = 2*z + 5*i. Let b = z + 23. Sort b, 2, m in increasing order.
2, b, m
Suppose -2*d - 9 = -7. Let m be d/4 - 51/(-12). Sort -5, 1, m.
-5, 1, m
Let t = -2.91 - -3. Let c = t + 0.91. Let b(f) = f + 9. Let s be b(-12). Sort c, s, 0.
s, 0, c
Let u be (-3 - 110) + 24/(-8). Let t be 3/4 + (-145)/u. Put t, 16, -2 in ascending order.
-2, t, 16
Let n(y) = -5*y - 18. Let d be n(-4). Suppose 27 = -v - d*v. Sort v, 5, -3 in descending order.
5, -3, v
Suppose 2*f = s - 2*s + 2, -s + 5 = 5*f. Let a be ((-4)/3)/((-4)/(-6)). Put 29, f, a in descending order.
29, f, a
Let y = -6 + 0. Let u = y + 5.7. Let z = -2867/19 + 151. Put 2/3, z, u in descending order.
2/3, z, u
Suppose 12*d + 25 = 13. Let g = -16 - -34. Sort g, d, -5.
-5, d, g
Suppose -48 = -6*h - 12. Put 2, 1, -5, h in increasing order.
-5, 1, 2, h
Suppose -3*q + 375 = 4*z, -5*z + 465 = -2*q + 7*q. Let x = -91 + z. Sort 4, x, -2, 3 in decreasing order.
x, 4, 3, -2
Let w be 2 + -2 - 5/5. Let r = -27 + 25. Sort 0, r, w in descending order.
0, w, r
Let y(j) = -j**3 - 3*j**2 + 18*j - 6. Let a be y(-6). Suppose -o - 2*o = -6. Sort o, -4, 1, a in descending order.
o, 1, -4, a
Let c be (32/20)/(-1*8/(-20)). Suppose 0 = 4*h + 10 + 18. Let p = h + 5. Put c, -5, p in increasing order.
-5, p, c
Suppose -2*y + 11 - 1 = 0. Let a be (-4 + 5)/(1/y). Let c = -8 + 10. Sort c, -2, a.
-2, c, a
Let o(l) = 3*l**2 + 5*l - 38. Let v be o(-5). Put -1, 2, v in ascending order.
-1, 2, v
Suppose 4*i - 28 = -4*s, -2*i = 2*i - 16. Suppose -4*v = -s*v - 4. Suppose -5*u - 29 = -v. Sort 3/4, u, -2/3 in decreasing order.
3/4, -2/3, u
Let y = 0.05 + 0.35. Let r = -508 + 505. Put -1, -0.5, y, r in decreasing order.
y, -0.5, -1, r
Suppose -6*k - 12 = -2*k. Let c(w) = -2*w**2 - w - 14. Let r(v) = -v**2 - v - 7. Let a(n) = k*c(n) + 7*r(n). Let g be a(-3). Sort -6, g, 3.
-6, g, 3
Let l be 2 + (-3014)/(-66) + (-2)/3. Let c = l - 46. Sort -6, -1, c in decreasing order.
c, -1, -6
Let q = 2.8 - 3. Let k = -0.41 - -0.11. Let s = -0.148 - -0.048. Sort s, q, k in ascending order.
k, q, s
Let p(f) = 3*f + 39. Let w be p(-14). Put 2, w, -4 in increasing order.
-4, w, 2
Let d = 125 + -125.083. Let w = d - 10.917. Sort 4, w, 0.5.
w, 0.5, 4
Let w = 29 - 26. Let t be 7 + 0 - (-6 + 3 + w). Sort -3, -5, t in descending order.
t, -3, -5
Suppose 3*l + 12 = -3*p, 117*p - 122*p = -l + 8. Sort 1, 155, -3, p in ascending order.
-3, p, 1, 155
Let o be (-2)/5 + (280/(-50) - -9). Suppose -9*c = -o*w - 4*c - 5, 4*w = 5*c. Let y = 7 + -10. Sort y, w, -3/2 in decreasing order.
w, -3/2, y
Let z(y) = -y**2 - 8*y + 471. Let n be z(18). Sort -4, -47, n.
-47, -4, n
Let h be (-172)/22 + 24/(-132). Sort -2, -1, h, -7 in ascending order.
h, -7, -2, -1
Let d = -125 + 255/2. Let u = d + -3. Sort -2/9, u, -5, 0.2.
-5, u, -2/9, 0.2
Let r = -4 - -3.7. Let s = -76 + 71. Let i(u) = -u**3 - 9*u**2 - 22*u - 3. Let q be i(-4). Put q, r, s in ascending order.
s, r, q
Let c = 618 + -622. Sort c, -0.3, 4.54.
c, -0.3, 4.54
Let u be (3 - (-30)/(-9))*0. Put -3, u, 12 in ascending order.
-3, u, 12
Let f be ((-41)/(-2))/((-3)/2 - -1). Let x = -36 - f. Let l = -8 + 5. Sort 0.1, x, l in ascending order.
l, 0.1, x
Let o = -0.4243 - -0.1243. Sort o, -5, 32, -0.2.
-5, o, -0.2, 32
Let n be (-13)/(-26)*(-4)/2. Put -16, 1, n in decreasing order.
1, n, -16
Suppose -d - 4 = 1. Let a be ((-58)/(-10) - (-4)/(2 - -18)) + -8. Put d, a, 21 in ascending order.
d, a, 21
Let u = -0.542 + 0.142. Sort -0.19, 2, u, 3.
u, -0.19, 2, 3
Let l be 12/(-2940)*-14 - 1/(-14)*2. Let z = 0.02 - 0.42. Sort l, 0.4, 5, z in decreasing order.
5, 0.4, l, z
Let l(z) = -z - 5. Let h be l(-9). Let d be (-8 + 2)*(-1)/2. Suppose -7 = 2*p - 9. Sort h, p, d in decreasing order.
h, d, p
Let g(s) = s**2 + 2*s + 3. Let a be g(3). Let z be (a/(-12))/(1/2) + -5. Sort -5, 1, -3, z in ascending order.
z, -5, -3, 1
Let o be ((-200)/16 - 6)/(5/30). Sort -5, 3, o, 0 in descending order.
3, 0, -5, o
Let l = 2.8 + -0.1. Let f = l - 3.7. Sort f, 0.5, -5.
-5, f, 0.5
Suppose -5*h - 2*a + 5 = 0, -19 = 2*h + 5*a - 0*a. Put 1, h, 26 in decreasing order.
26, h, 1
Suppose 5*z = -4*z + 36. Suppose -2 = -2*x + 2. Let v(b) = b**3 + b**2 + 1. Let y be v(0). Sort y, x, z in decreasing order.
z, x, y
Let u = 377.4 + -377. Put 32/5, u, 0.3 in decreasing order.
32/5, u, 0.3
Let c = 1503 - 1547. Put 6, -0.3, c in ascending order.
c, -0.3, 6
Let o = 12 + 14. Let v = -36 + o. Let i = v + 11. Sort i, 3/4, 3 in ascending order.
3/4, i, 3
Let r = -6 - -4 | {
"pile_set_name": "DM Mathematics"
} |
871.113
Sum 4539 and 385.42855.
4924.42855
What is -48.515989 take away -2.2?
-46.315989
-51637201 + -20.8
-51637221.8
What is -8686781.1 take away -94?
-8686687.1
507168637 + -31
507168606
What is -2071.2 plus -0.00077?
-2071.20077
Calculate 6 + 1875.71407.
1881.71407
What is 3717697 - -0.1?
3717697.1
28222174+-0.096
28222173.904
Put together -1063 and 203849.
202786
Calculate 8976079179 + -0.5.
8976079178.5
What is -18957 - 0.13794?
-18957.13794
What is -768418007.5 less than 5?
768418012.5
What is 12503 minus -1356?
13859
Work out 3163 - 15.80572.
3147.19428
Sum 23.7 and -2.5168849.
21.1831151
What is the distance between -47.131578 and 0.04?
47.171578
Calculate -27138 + -261.5.
-27399.5
0.0139+4979
4979.0139
What is the difference between 1.1 and -97965664.2?
97965665.3
Calculate -1245585283 - -0.4.
-1245585282.6
Calculate -0.4 + -5029177.591.
-5029177.991
What is 301733 less than 167?
-301566
What is -5 - 9898699?
-9898704
What is -0.2 + -54.95437?
-55.15437
What is -4801 plus -58137?
-62938
What is -0.017 plus -885615?
-885615.017
Calculate 26.9 + 16316150.
16316176.9
Put together -31069257.4 and 0.04.
-31069257.36
Calculate 17669093617 - -5.
17669093622
What is -72995078 less than 0.22?
72995078.22
Work out 0.04186 - -3950.9.
3950.94186
What is the distance between -544.6 and 4.79153?
549.39153
What is 2.9 + -29015538?
-29015535.1
Total of 697751171 and -1.
697751170
Add 4320171 and 133.
4320304
Work out -11748921 + 1.1.
-11748919.9
Calculate -1124 - -142.3.
-981.7
Work out 14994 + -2125.4.
12868.6
Work out -432 - 156649.
-157081
465 - 276671
-276206
What is 12452 less than 4697442?
4684990
Subtract -141 from -57.793.
83.207
Calculate -3.53673 + 3.373.
-0.16373
Add together 24781597 and 0.14.
24781597.14
What is 8737 minus -419?
9156
Sum -11789477178 and 5.
-11789477173
What is 31346 plus 5610?
36956
What is -53876 - -62697?
8821
What is the difference between -141 and -126.692?
14.308
Calculate -291874 - 1.22.
-291875.22
Add together 88.61 and 13.5.
102.11
What is the difference between -4576.725 and 6?
4582.725
Subtract 145570198 from 0.578.
-145570197.422
Sum 10 and 2073494.
2073504
Add together -75440867818 and 4.
-75440867814
Calculate 40103.9661 - 0.2.
40103.7661
Total of -2804 and 2781.755.
-22.245
Calculate -41.1 + -174405.
-174446.1
Work out 18016 - 0.3741627.
18015.6258373
What is 1201318 take away 20?
1201298
Subtract 21100784.5 from -5.
-21100789.5
Calculate 878624.2417 + 7.
878631.2417
What is the difference between 0 and 17284.272?
17284.272
Sum 0.4 and -15587598.
-15587597.6
Calculate -4.48 - -43353.
43348.52
What is the difference between -489 and -51516.5?
51027.5
Subtract -3.554 from -40.01.
-36.456
216996134 - 26
216996108
Put together -85455072.6 and 2.
-85455070.6
Subtract -3 from -24279524.
-24279521
What is -36012.7 less than -18537?
17475.7
Work out 35.167 - -15641.
15676.167
Work out 0.0243659 + 59864.
59864.0243659
7130628+-0.1
7130627.9
What is 0.1 - 137973191?
-137973190.9
What is -130701 - 0.549?
-130701.549
Subtract 19 from 163814316.
163814297
What is -12 take away -59.228692?
47.228692
Work out -55925 - -0.017.
-55924.983
What is 0.2 + 45993187?
45993187.2
Calculate -0.507 + -8065.826.
-8066.333
Add together -236 and 28.0413.
-207.9587
-1631.9 - -0.0876545
-1631.8123455
Work out -646 - 6488.
-7134
Add 27908 and 63.404.
27971.404
Calculate -30719 - 155598.
-186317
What is -171 plus -0.5789796?
-171.5789796
Add -113.3367 and 0.145.
-113.1917
Calculate 21.569 - 0.1586.
21.4104
What is 1040348 minus -40?
1040388
Add 265633 and -0.40744.
265632.59256
What is 0.05873 plus -253.19?
-253.13127
71654+-8120
63534
Calculate 4.581207 - 5.
-0.418793
What is 92.7 take away 1880?
-1787.3
Total of -0.2 and -62.26637.
-62.46637
What is -17 - -66.800959?
49.800959
What is 1615373 less than -87?
-1615460
Work out -0.1 + 77397036.
77397035.9
-35 + -6.05968328
-41.05968328
What is the difference between 0.212 and -11.112914?
11.324914
Add -41184499.89 and -7.
-41184506.89
What is 0.03 - -2194110010?
2194110010.03
Add together -0.2 and -604152.19.
-604152.39
What is the difference between 0.1 and -107310997?
107310997.1
What is -21.1 take away 2375518?
-2375539.1
Calculate 85 - -201161538.
201161623
What is 11031 take away 195181?
-184150
Add together 1337487 and 781.
1338268
Put together 0.0343 and -2.02209.
-1.98779
What is -0.276 less than 4523227?
4523227.276
Work out -1 - -0.5389566843.
-0.4610433157
Sum -3 and -28813.8548.
-28816.8548
What is -1020960773 + 0.2?
-1020960772.8
Work out -2214 - -61.5.
-2152.5
What is -0.6 + -11963568?
-11963568.6
Put together 0.3 and -198273679.
-198273678.7
Calculate 124795.1 - -2033.
126828.1
Add together 17 and 54102917.
54102934
5034.8255 - 1
5033.8255
What is 27555444562 - 0.2?
27555444561.8
Put together 0.3 and -2628.92518.
-2628.62518
Calculate -5716873 - 2.
-5716875
What is 3 minus 4520950?
-4520947
Calculate -1295497 - 0.59.
-1295497.59
Add together 884 and 12122216.
12123100
Work out -534782.142 - -0.5.
-534781.642
What is 2446 + -36661?
-34215
What is the difference between 0.8327447 and 0.09?
0.7427447
Work out 1479615 + -0.065.
1479614.935
Add -0.7713 and -433819.
-433819.7713
What is -2462 minus 7197?
-9659
Subtract -326.4 from -2988164.
-2987837.6
Total of 0.9 and -112969.6402.
-112968.7402
What is the difference between -1773 and 0.08388?
1773.08388
What is the difference between -3 and -771.7895?
768.7895
Total of -137 and 6256802.
6256665
Subtract -300 from 173813.
174113
What is -2850 less than 2728.2116?
5578.2116
What is the difference between 21138 and 0.0120505?
21137.9879495
Add -29088242 and 11.65.
-29088230.35
What is 0.068 plus 5.3750073?
5.4430073
What is the difference between -50.68 and -60391.82?
60341.14
3 - -5.096079189
8.096079189
Put together 16 and -10523.85.
-10507.85
What is -0.15401 plus -1346193?
-1346193.15401
What is -0.4 minus 667514018?
-667514018.4
-22398.79+4287
-18111.79
Total of 0.6004 and 0.1447776.
0.7451776
Work out 0.418632241 - -0.4.
0.818632241
What is 2.1 - 1392682?
-1392679.9
What is the difference between -144206.3 and -8?
144198.3
Add -10 and 20642930.
20642920
Calculate -0.9309 + 176559.
176558.0691
Total of -279936 and 1128.
-278808
Add together -81022 and 4567.
-76455
What is -46 less than 26122?
26168
Calculate -112.3487 + 527.6.
415.2513
Sum -4220049675 and 0.2.
-4220049674.8
Add together 0.8 and 133277389.
133277389.8
Add 3.3261 and 0.8958.
4.2219
858815294 + -0.5
858815293.5
Sum -5 and 12.400028.
7.400028
Calculate -9892935070 - -0.4.
-9892935069.6
Sum -0.4 and 187.80484.
187.40484
What is 1568930952 take away 0.2?
1568930951.8
Total of 86 and -7836547.
-7836461
What is the difference between 346.6 and 0.0173527?
346.5826473
-1817 + 7.46919
-1809.53081
What is 112685 - 5834?
106851
What is 1.9 + -1693416?
-1693414.1
-79 + -1898.707
-1977.707
226.6316394+3
229.6316394
Add -130838421 and -0.055.
-130838421.055
What is 12553194 + -0.014?
12553193.986
What is -0.14726 plus -8106?
-8106.14726
Work out 53310 + -665.
52645
Calculate -0.4 - -73410300.
73410299.6
Total of -53 and 7510.738.
7457.738
What is 37 less than 0.0786453?
-36.9213547
Add together -73601 and 4226.
-69375
Calculate 11282 + 0.875.
11282.875
Work out 30026 + 30.57.
30056.57
What is 4529031.669 less than -0.3?
-4529031.969
Add together 12268771.389 and 0.5.
12268771.889
What is -15070 + -0.4142238?
-15070.4142238
What is 6793 less than 161005?
154212
Total of 104 and -164618.
-164514
Put together -13839953418 and 4.
-13839953414
82330 - 1.52
82328.48
Work out 0.0006465 - 0.15.
-0.1493535
What is 1.6917 minus 150.55?
-148.8583
Calculate 153 - -2047929.
2048082
What is the distance between 0.12 and 506866.38?
506866.26
Sum 1.4 and 286160.
286161.4
0.007 - 462965.71
-462965.703
Work out 2.57095839 - 21.
-18.42904161
Subtract -5.5 from -27315253.
-27315247.5
Add -9.34228 and 0.3.
-9.04228
Work out 475165 + -0.225.
475164.775
What is the distance between -803578908 and -0.4?
803578907.6
Calculate -0.0998464 - -75.
74.9001536
What is 877418788 minus 1?
877418787
What is 0.082 take away 10356.45?
-10356.368
What is 8369.88 - -12034?
20403.88
-0.227+-2048.2071
-2048.4341
Add -30.793 and 0.03391.
-30.75909
628+3283442
3284070
Work out -0.11 - -2522.053.
2521.943
0.18745 | {
"pile_set_name": "DM Mathematics"
} |
n.
-5*n*(n - 2)**2
Let w = -16905 + 67623/4. Factor -3/2 + w*v + 3/2*v**2 - 3/4*v**3.
-3*(v - 2)*(v - 1)*(v + 1)/4
Let n(z) = -z**2 + 2*z + 5. Suppose -2*g = -2*q + 20, -12*q + 45 = -4*g - 7*q. Let y(m) = -1. Let i(t) = g*n(t) - 30*y(t). Factor i(k).
5*(k - 1)**2
Let k(l) be the first derivative of -3/20*l**5 + 3*l**3 + 21/4*l**2 + 15/4*l + 3/8*l**4 + 21. Factor k(v).
-3*(v - 5)*(v + 1)**3/4
Let p(g) = 15*g + 47. Let q be p(-3). Factor 0*c + 4/5*c**3 + 0*c**q + 0 - 2/5*c**5 - 2/5*c**4.
-2*c**3*(c - 1)*(c + 2)/5
Let g(x) be the second derivative of x**6/10 + 3*x**5/10 - 7*x**4/4 + 2*x**3 + 531*x + 2. What is o in g(o) = 0?
-4, 0, 1
Let x(g) be the third derivative of g**8/10080 + g**7/1008 + g**6/720 - g**5/80 + 3*g**3/2 - 13*g**2. Let k(w) be the first derivative of x(w). Factor k(i).
i*(i - 1)*(i + 3)**2/6
Let i(m) be the first derivative of 9*m**6/7 + 216*m**5/5 - 792*m**4/7 + 2144*m**3/21 - 240*m**2/7 - 3. Factor i(w).
2*w*(w + 30)*(3*w - 2)**3/7
Suppose 0*n + n = 4*n. Find h, given that 4/3*h**2 + 4/3*h**4 + n*h + 0 + 8/3*h**3 = 0.
-1, 0
Let a be (-21)/(-3) - ((-6039)/81)/(-11). Factor 8/9*j + 8/9 + a*j**2.
2*(j + 2)**2/9
Let j(m) = -2*m**2 - 4*m + 4*m**2 + 2*m**2 - 34*m**3 - 2 + 30*m**3. Let y(l) = -5*l**3 + 4*l**2 - 5*l - 3. Let i(t) = 3*j(t) - 2*y(t). Factor i(v).
-2*v*(v - 1)**2
Let x(j) = j**5 - j**4 + j**3 + j**2. Let i(y) = 24*y**5 - 6*y**4 + 66*y**3 + 70*y**2 + 18*y. Let p(m) = -2*i(m) + 44*x(m). Factor p(f).
-4*f*(f + 1)**2*(f + 3)**2
Suppose 4*v + v - 40 = 0. Suppose -4*g + 10 = g - d, 4*g = 4*d + v. Factor 24*r**3 - 4*r**2 + r - r**g - 8*r**3 - 3*r**2.
r*(4*r - 1)**2
Let b be ((-12)/(-21))/(6/21). Let k be (-2)/(10/9) + b. Factor 1/5 + 1/5*o - 1/5*o**2 - k*o**3.
-(o - 1)*(o + 1)**2/5
Let o(d) be the first derivative of -d**3/5 + 51*d**2/10 + 54*d/5 + 131. Determine r so that o(r) = 0.
-1, 18
Let q = -1/442 - -111/221. Let p(y) be the first derivative of -15/4*y**4 + 7 + q*y**6 + 12*y**2 - y**3 + 3/5*y**5 - 12*y. Factor p(h).
3*(h - 1)**3*(h + 2)**2
Suppose 8*x + 11*x = 95. Suppose -4*u - 3 = -x*y + 1, -5*y = -3*u - 8. Determine h so that 6/5*h**u + 3/5*h**3 + 0*h**2 + 0*h + 0 + 3/5*h**5 = 0.
-1, 0
Let k(b) = 3*b**4 + 7*b**3. Let a(h) = -4*h**4 - 10*h**3. Let p be 9/6*10/3. Let g(o) = p*a(o) + 7*k(o). Factor g(n).
n**3*(n - 1)
Suppose 660*v + 2366 - 1163 - 1153 + 2178*v**2 = 0. What is v?
-5/33
Let x(t) be the first derivative of -t**6/6 + 4*t**5 - 19*t**4/4 - 366. Factor x(i).
-i**3*(i - 19)*(i - 1)
What is j in -3*j**4 + 3*j**2 + 19*j**3 - 4*j**3 - j**2 - 15*j + j**2 + 0*j**2 = 0?
-1, 0, 1, 5
Let y(l) be the second derivative of l**4/42 - 5*l**3/3 - 36*l**2/7 - 16*l + 1. Determine z so that y(z) = 0.
-1, 36
Let n(p) = p**2 + p + 1. Let j = 13 + 7. Let z = j + -15. Let m(d) = 3*d**2 + 11*d + 5. Let f(t) = z*n(t) - m(t). Factor f(q).
2*q*(q - 3)
Let x(g) be the third derivative of -g**5/330 + 15*g**4/22 - 675*g**3/11 + g**2 + 20*g. Factor x(d).
-2*(d - 45)**2/11
Let m(f) be the second derivative of f**4/60 - 11*f**3/15 - 15*f**2/2 + 9*f + 2. Factor m(h).
(h - 25)*(h + 3)/5
Let c be (-1)/2*0/(-3). Find b, given that 3*b**3 - 3*b**5 - 33*b**4 + c*b**3 + 33*b**4 = 0.
-1, 0, 1
Let m(r) = 3*r**4 - 7*r**2 + 6*r + 2. Suppose 0 = 8*n + 23 + 1. Let c(q) = 3*q**4 - 6*q**2 + 6*q + 3. Let h(x) = n*m(x) + 2*c(x). Factor h(p).
-3*p*(p - 1)**2*(p + 2)
Let a(l) be the second derivative of l**3/6 + l**2/2 - 6*l. Let b be a(3). Solve -16*n + 9 + b*n + 2*n**2 + 9 = 0 for n.
3
Let b(x) be the second derivative of x**4/4 + 21*x**3/2 - 108*x**2 - 5*x. Factor b(s).
3*(s - 3)*(s + 24)
Suppose 159*o - 157*o = 8. Suppose -8 = -3*j - o*f + 16, 0 = -2*j + 3*f - 1. Let 1/2*k**2 - 1/2*k**j - 1/4*k**5 + 0*k**3 + 1/4*k + 0 = 0. What is k?
-1, 0, 1
Let w(v) = -v**3 - 32*v**2 - 22*v + 281. Let n be w(-31). Let -27/2 + 9*b - 3/2*b**n = 0. What is b?
3
Solve -110/3*r**2 + 98/3*r**3 - 92/3*r - 16/3 + 6*r**5 + 34*r**4 = 0.
-4, -2, -1/3, 1
Suppose -33 = -3*d - 3*w, 4*w - 22 = 6. Suppose 0 = -2*f - 6, -6*f + 2*f = -5*q + 12. Determine m so that -1/3*m**5 + q*m**3 + 1/3*m**d + 0*m**2 + 0 + 0*m = 0.
0, 1
Solve -85 + 39*v - v + 39*v - 22*v + 20*v + 10*v**2 = 0 for v.
-17/2, 1
Let z be (74/30)/(((-1664)/12)/(-8)). Let l = 3/52 + z. Factor 0 - l*b + 1/5*b**2.
b*(b - 1)/5
Let v(j) = 14*j**4 - 10*j**3 - 20*j**2 - 42*j - 46. Let q(m) = -5*m**4 + 4*m**3 + 7*m**2 + 14*m + 16. Let f(t) = 11*q(t) + 4*v(t). Factor f(z).
(z - 2)*(z + 1)**2*(z + 4)
Let n be ((-2)/(-3))/((-9)/(-27)). Factor -6 - 285*r**4 - 8*r + 287*r**4 - 11*r**2 - r**n + 24*r.
2*(r - 1)**3*(r + 3)
Let r(y) be the second derivative of y**4/60 - 19*y**3/15 + 361*y**2/10 - 21*y + 1. Factor r(t).
(t - 19)**2/5
Suppose -k - p + 9 = -3*p, -4*p + 66 = 10*k. Factor 73/6*c**2 + k*c + 28/3*c**3 + 8/3*c**4 + 3/2.
(c + 1)**2*(4*c + 3)**2/6
Let y(v) be the first derivative of -2*v**3/33 - 13*v**2/11 - 450. Let y(i) = 0. What is i?
-13, 0
Let j = 9 - 4. Let -2*s**3 + 8*s + 14*s**2 - 4*s**3 - s**5 - 18*s**2 + j*s**4 + 0*s**5 = 0. Calculate s.
-1, 0, 2
Factor -12 - b**4 + 16*b + 5*b**2 - 3*b**3 + b**5 + 3*b**3 - 9*b**3.
(b - 3)*(b - 1)**2*(b + 2)**2
Let m be ((-1)/(-3))/((-4)/3)*-12. Let s be ((-102)/(-42) + -2)/(m/2). Factor 4/7 + 2/7*y**4 + 2/7*y**3 - 6/7*y**2 - s*y.
2*(y - 1)**2*(y + 1)*(y + 2)/7
Suppose 0*p - 6*p**2 + 7/2*p**5 - 5/2*p**4 + 0 - 22*p**3 = 0. What is p?
-2, -2/7, 0, 3
Let 4/3*f**3 + 1/3*f + 7/6*f**2 + 1/2*f**4 + 0 = 0. Calculate f.
-1, -2/3, 0
Determine w, given that 15 + 3*w**2 - 5*w**3 + 3*w - 10 - w**3 - 8 + 3*w**3 = 0.
-1, 1
Let f(d) be the second derivative of 0*d**2 - 5/4*d**4 - 7*d + 0 - d**5 + 5/6*d**3. Factor f(v).
-5*v*(v + 1)*(4*v - 1)
Let y be 12/(-54) - 83/(-9). Let m(s) be the first derivative of -2*s**3 + 8 - 27*s + y*s**2 - 5 + s**3. Factor m(z).
-3*(z - 3)**2
Let q = -31 + 36. Let r(z) = z**2 + 1. Let i(f) = f**4 - f**3 + f + 1. Let b(v) = q*r(v) - 5*i(v). Find o such that b(o) = 0.
-1, 0, 1
Let z = -46 - -38. Let r be 2 - (-3)/((-540)/z)*-40. Factor 0*y**2 + 2/9 - r*y**4 - 4/9*y**3 + 4/9*y.
-2*(y - 1)*(y + 1)**3/9
Let i(r) be the first derivative of -r**6/30 + 14*r**5/25 + 4*r**4/5 - 14*r**3/15 - 3*r**2/2 + 493. Let i(s) = 0. Calculate s.
-1, 0, 1, 15
Let y(h) = h + 20. Let l be y(-12). Factor -84 + 38 - 2*n**2 + 38 + l*n.
-2*(n - 2)**2
Let u(z) = 5*z - 17. Let o be u(4). Let p = 10 - 7. Factor 3*b**p + 3*b + o*b**4 - 4*b + b.
3*b**3*(b + 1)
Let r = 95 - 86. Let n(j) = -3*j - 1. Let t be n(-1). Let -5*v**3 + t*v**3 + 2*v**3 + 4*v**3 - r*v**2 + 6*v = 0. Calculate v.
0, 1, 2
Let u(d) be the third derivative of -d**8/2184 - d**7/1365 + d**6/156 + d**5/78 - d**4/39 - 4*d**3/39 - 239*d**2. Suppose u(h) = 0. Calculate h.
-2, -1, 1, 2
Let d be 12/54*5/15. Let l(k) be the first derivative of 1/3*k**2 - 11 + 4/9*k + d*k**3. Determine j so that l(j) = 0.
-2, -1
Solve 39*i**3 + 0 + 0*i - 1/2*i**4 - 1521/2*i**2 = 0.
0, 39
Let m(s) be the second derivative of -s - 3/2*s**3 - 1/80*s**5 - 33 + 1/4*s**4 + 0*s**2. Factor m(w).
-w*(w - 6)**2/4
Suppose -54*p + 336 = -60*p. Let a = -103/2 - p. Determine i, given that -3 - a*i - 3/2*i**2 = 0.
-2, -1
Let g(p) = -p + 3. Let n be g(-15). Suppose -3*f = -0*f - n. Let k(r) = 5*r**2 + 4*r. Let w(h) = 6*h**2 + 5*h. Let q(u) = f*w(u) - 7*k(u). Factor q(a).
a*(a + 2)
Let v(l) be the second derivative of -l**6/2 - 39*l**5/20 - 9*l**4/4 + l**3/2 + 3*l**2 + 111*l. Factor v(s).
-3*(s + 1)**3*(5*s - 2)
Let w be 2/120*6 - (-4)/10. Let b(k) be the second derivative of -k - 1/5*k**5 - w*k**2 + 0*k**4 + 1/2*k**3 + 0. Let b(q) = 0. Calculate q.
-1, 1/2
Let x(w) = 5*w**2 + 9*w + 22. Let h(j) = 11*j**2 + 18*j + 45. Let i(b) = 4*h(b) - 9*x(b). Find v, given that i(v) = 0.
-6, -3
Let d = -5619 + 342749/61. Let g = 101/244 + d. Factor -1/4*a**3 + g*a - 1/4 + 1/4*a**2.
-(a - 1)**2*(a + 1)/4
Let t(s) = -s**2 + 60*s + 1312. Let j be t(-17). Let i be 10/(-45)*(-6)/4. Suppose -2*g**4 + 0 + 13/3*g**j + 4/3*g - 4*g**2 + i*g**5 = 0. Calculate g.
0, 1, 2
Let t be 1 - ((-6)/(-15) - (187/55 - 1)). Factor 2/9*a**t + 0*a**2 + 4/9 - 2/3*a.
2*(a - 1)**2*(a + 2)/9
Let w(g) be the third derivative of -g**7/210 - g**6/15 - 7*g**5/60 + 73*g**2. Factor w(p).
-p**2*(p + 1)*(p + 7)
Let c(u) be the second derivative of u**5/40 + u**4/24 - 7*u**3/4 - 45*u**2/4 - u - 1. Let c(i) = 0. What is i?
-3, 5
Let r = - | {
"pile_set_name": "DM Mathematics"
} |
, 5, 0, -2
Put -1, 1, -4, 4, -5, 49 in ascending order.
-5, -4, -1, 1, 4, 49
Put 0.4, -3, 0.1, 8, -2/671, 0.2 in increasing order.
-3, -2/671, 0.1, 0.2, 0.4, 8
Sort 5, -4, -6, 2, 10505, -2.
-6, -4, -2, 2, 5, 10505
Sort -1, -7, -3, 7, 6, 3 in descending order.
7, 6, 3, -1, -3, -7
Sort -4, -249, -116 in decreasing order.
-4, -116, -249
Sort -1/3, -11506, 2/19 in increasing order.
-11506, -1/3, 2/19
Sort -4, 4, -5, -15, 24 in descending order.
24, 4, -4, -5, -15
Sort 2, -2, -231505.
-231505, -2, 2
Put 5, 19, 2/5, 47/3, 0.2 in descending order.
19, 47/3, 5, 2/5, 0.2
Sort 26, -22, 16 in increasing order.
-22, 16, 26
Sort 12543, 7, 4, 2.
2, 4, 7, 12543
Put 4/5, 2/7, -0.5, -6, -4/3, 4935 in decreasing order.
4935, 4/5, 2/7, -0.5, -4/3, -6
Put -12, 0.1577, 5.5 in decreasing order.
5.5, 0.1577, -12
Put 3/5, -5, 0.1341, 5 in ascending order.
-5, 0.1341, 3/5, 5
Sort 0.2, 5, 1.91, -6.
-6, 0.2, 1.91, 5
Put 9, -2436, 14 in decreasing order.
14, 9, -2436
Put 26/271, 2/19, -2, 3 in increasing order.
-2, 26/271, 2/19, 3
Sort 339, 4, -5, 5, -2, -3.
-5, -3, -2, 4, 5, 339
Sort -462466, 1, -2, 0.
-462466, -2, 0, 1
Put -727, 0.2, -3, 4, -4, -0.2 in descending order.
4, 0.2, -0.2, -3, -4, -727
Sort 38336, -3/4, 0.4 in decreasing order.
38336, 0.4, -3/4
Put -117, 1, 288 in descending order.
288, 1, -117
Sort -669903, 4, 4/3 in decreasing order.
4, 4/3, -669903
Sort 6/11, -2/15, -1/2, 2/27 in descending order.
6/11, 2/27, -2/15, -1/2
Sort -2, 4, 0.1, 0.6, -28/9, 15 in descending order.
15, 4, 0.6, 0.1, -2, -28/9
Sort 1, -4705, -5 in ascending order.
-4705, -5, 1
Put -0.17, 1, 3, -304, 18 in ascending order.
-304, -0.17, 1, 3, 18
Sort 4, -36, -0.3, 0.1, 5787 in increasing order.
-36, -0.3, 0.1, 4, 5787
Sort -0.67968, 2/5, 0.5 in descending order.
0.5, 2/5, -0.67968
Sort 90943, -5, -1.
-5, -1, 90943
Sort 8/7, 2, -1/9, 12, 4/5, 7.
-1/9, 4/5, 8/7, 2, 7, 12
Sort -5, -1.16, 2, 0.1, -1 in ascending order.
-5, -1.16, -1, 0.1, 2
Put -4, -297, -1/3, -0.018 in decreasing order.
-0.018, -1/3, -4, -297
Sort -3, -1, 1, 3070, -5 in ascending order.
-5, -3, -1, 1, 3070
Sort -116, 1/3, -105 in descending order.
1/3, -105, -116
Sort -46, 4, 2, -5 in descending order.
4, 2, -5, -46
Sort 86, -2/11, -0.2, -3/1112, -4 in decreasing order.
86, -3/1112, -2/11, -0.2, -4
Sort -1, -2, -7930.
-7930, -2, -1
Put 852, -2, -4, 4, 3 in increasing order.
-4, -2, 3, 4, 852
Sort -0.209, -2, 80, 3, 2/7, 1.
-2, -0.209, 2/7, 1, 3, 80
Sort -0.3, 0.1, 16, -2, 0.089, 1.
-2, -0.3, 0.089, 0.1, 1, 16
Sort 3, -380, 25, -9 in descending order.
25, 3, -9, -380
Put -27, 13, -257, 3 in ascending order.
-257, -27, 3, 13
Sort 0, -245, -3, 5 in increasing order.
-245, -3, 0, 5
Put 1, -1, -31, -7 in descending order.
1, -1, -7, -31
Sort -1, 3, -12, -7, 0.
-12, -7, -1, 0, 3
Put 5080, 2, -9 in descending order.
5080, 2, -9
Put 22.56, -1/9, 0.5, 0.2, -2 in decreasing order.
22.56, 0.5, 0.2, -1/9, -2
Sort -1, 5, -8547/34.
-8547/34, -1, 5
Put -2, -76, -7, 3, 22 in increasing order.
-76, -7, -2, 3, 22
Sort -3.4, -2/3, 4, -10, -0.03, -1 in ascending order.
-10, -3.4, -1, -2/3, -0.03, 4
Put -2/9, 400, 2/15, -0.4, -1/6 in descending order.
400, 2/15, -1/6, -2/9, -0.4
Sort 4, 30, 3, -1, 1, 2.
-1, 1, 2, 3, 4, 30
Sort 0.011, -3, 229, 0.2 in decreasing order.
229, 0.2, 0.011, -3
Sort -3, 6, -1867 in increasing order.
-1867, -3, 6
Sort 0.2, -0.0616944, -1.
-1, -0.0616944, 0.2
Sort -0.3, 19, -39/8 in increasing order.
-39/8, -0.3, 19
Sort -4, -2/3, -2105/8, -7, -3 in decreasing order.
-2/3, -3, -4, -7, -2105/8
Sort 5, -3, 326, -1057 in descending order.
326, 5, -3, -1057
Put 2/77, -4/7, 31, -2/65 in decreasing order.
31, 2/77, -2/65, -4/7
Sort -4, 61, 1, -3 in decreasing order.
61, 1, -3, -4
Put 0, -205, -4, -71 in ascending order.
-205, -71, -4, 0
Put -4, -9, -15858 in decreasing order.
-4, -9, -15858
Sort 10, 190, -2, 4, 0, -8 in decreasing order.
190, 10, 4, 0, -2, -8
Sort -4, 10, -2642 in descending order.
10, -4, -2642
Put 4, 0, 15, 1568, 1 in decreasing order.
1568, 15, 4, 1, 0
Sort -6, 4, -4, 1, -7, -13.
-13, -7, -6, -4, 1, 4
Put 5, 2, -4, 2030, -2, 0 in ascending order.
-4, -2, 0, 2, 5, 2030
Sort 0, 11/7, -2/7851.
-2/7851, 0, 11/7
Sort 12, -1975, -5 in increasing order.
-1975, -5, 12
Put -34, 3/10, -1/6 in ascending order.
-34, -1/6, 3/10
Sort -9, 3/2, -14/3671 in descending order.
3/2, -14/3671, -9
Sort 3/5, -2, -409/8, -0.1 in increasing order.
-409/8, -2, -0.1, 3/5
Sort 6, -5, -10/3, 0.2.
-5, -10/3, 0.2, 6
Put -3/2, 10, 3/4, -48/11 in decreasing order.
10, 3/4, -3/2, -48/11
Put 3, -27, -2, -76, -64 in increasing order.
-76, -64, -27, -2, 3
Sort 1, -66, -9, 2, 0 in descending order.
2, 1, 0, -9, -66
Put -0.0542, 14, -2 in increasing order.
-2, -0.0542, 14
Put -1/122, -0.22, 1/7 in decreasing order.
1/7, -1/122, -0.22
Sort 5, 4, 44, 165, -5.
-5, 4, 5, 44, 165
Sort -21, 0.1, 0.5, 3/10, -2.
-21, -2, 0.1, 3/10, 0.5
Put 0.6, 2/11, -54, 1 in decreasing order.
1, 0.6, 2/11, -54
Sort 0, -46, -3, -13, -5, -16 in ascending order.
-46, -16, -13, -5, -3, 0
Sort 60, 5, 4, -4, -23, -28 in ascending order.
-28, -23, -4, 4, 5, 60
Put 5, -1015, -4, 3, -3 in descending order.
5, 3, -3, -4, -1015
Sort -73, 2, -3/29 in descending order.
2, -3/29, -73
Sort -29, -41, 301, 5.
-41, -29, 5, 301
Put -4, -5, 23, -16175 in decreasing order.
23, -4, -5, -16175
Sort 9, -4, -1598 in decreasing order.
9, -4, -1598
Sort -224, 0, 2/11, -20/21, -3 in descending order.
2/11, 0, -20/21, -3, -224
Sort -1, -3, 8, -6, 0.
-6, -3, -1, 0, 8
Put 0.022, 2, 2/3, 63, 0.04 in descending order.
63, 2, 2/3, 0.04, 0.022
Sort 175, -638, -1 in decreasing order.
175, -1, -638
Sort 3, 6710, 0 in decreasing order.
6710, 3, 0
Sort -144, 5, -64 in descending order.
5, -64, -144
Put 14, -182, -5, 4 in decreasing order.
14, 4, -5, -182
Sort -14, 2/37, 146 in increasing order.
-14, 2/37, 146
Sort 0.6, 5, 4, -29.05, 4/7.
-29.05, 4/7, 0.6, 4, 5
Put 3, 51, 23, -5, 4 in decreasing order.
51, 23, 4, 3, -5
Put -0.5, -70/33, 0.6 in decreasing order.
0.6, -0.5, -70/33
Put -364, -4, -53, 3, 2 in descending order.
3, 2, -4, -53, -364
Sort -0.4, 1/38, -0.1, 1 in decreasing order.
1, 1/38, -0.1, -0.4
Put -5, -3, -8, -60 in decreasing order.
-3, -5, -8, -60
Sort 20, 5, 16, 49 in descending order.
49, 20, 16, 5
Sort -515, 6, -1 in descending order.
6, -1, -515
Sort -35064, -5, 3, 1.
-35064, -5, 1, 3
Put -1/62, -0.154, -2, -3, -4 in descending order.
-1/62, -0.154, -2, -3, -4
Put -0.09, 21, -0.12, -2/3 in increasing order.
-2/3, -0.12, -0.09, 21
Sort -0.4, 160573, 1/3 in ascending order.
-0.4, 1/3, 160573
Put -296066, -2/3, 1 in ascending order.
-296066, -2/3, 1
Put -1, -15, -186 in ascending order.
-186, -15, -1
Sort 10, -10, -4, 2.
-10, -4, 2, 10
Put 2, -8, -46732 in descending order.
2, -8, -46732
Put 4679, -1, 6 in descending order.
4679, 6, -1
Sort -22077, -1/9, -3 in descending order.
-1/9, -3, -22077
Sort -1, -4, -51, 1, -3 in decreasing order.
1, -1, -3, -4, -51
Put 1, 9, -18, 84, -2 in descending order.
84, 9, 1, -2, -18
Sort 0, 2, 1, -67, -6, 17 in ascending order.
-67, -6, 0, 1, 2, 17
Put -3883, -11, -4 in decreasing order.
-4, -11, -3883
Put 2, -0.07, -1, 2/5, 0.5, -224 in increasing order.
-224, -1, -0.07, 2/5, 0.5, 2
Sort 315, -2, -5, -121, -3 in decreasing order.
315, -2, -3, -5, -121
Sort -4, 2, 159, 0.
-4, 0, 2, 159
Put -4, -3, 1, 0.36, -6, -2 in ascending order.
-6, -4, -3, -2, 0.36, 1
Sort 255, -3248, 0.3 in ascending order.
-3248, 0.3, 255
Put -0.1, -1, 2.3, -4, -8/7, -11 in descending order.
2.3, -0.1, -1, -8/7, -4, -11
Put 32, -795, -1 in ascending order.
-795, -1, 32
Sort 14, 0, 4.9, 13, -2 in ascending order.
-2, 0, 4.9, 13, 14
Sort 313, -744, 1, 3, -3 in decreasing order.
313, 3, 1, -3, -744
Put 7.5, 4, -69.2 in decreasing order.
7.5, 4, -69.2
Sort -2, 6, -1, 16, -3.
-3, -2, -1, 6, 16
Sort 4, -2, 0.04, 277.1, 15 in descending order.
277.1, 15, 4, 0.04, -2
Sort -0.16, -4, -6/67, 5 in descending order.
5, -6/67, -0.16, -4
Sort 2, 69, 1/2, 0.13, 0.4, 6 in ascending order.
0.13, 0.4, 1/2, 2, 6, 69
Sort 0, -19, -28, -21.
-28, -21, -19, 0
Sort -18, -83, 2/5, -2/7, -3 in ascending order.
-83, -18, -3, -2/7, 2/5
Sort 12.4, 20.86, -0.5 in increasing order.
-0.5, 12.4, 20.86
Put 25407, 5, 1 in increasing order.
1, 5, 25407
Put 7, -20, 8, -2 in decreasing order.
8, 7, -2, -20
Sort | {
"pile_set_name": "DM Mathematics"
} |
is the remainder when 57 is divided by 31?
26
What is the remainder when 257 is divided by 38?
29
What is the remainder when 88 is divided by 6?
4
What is the remainder when 1942 is divided by 65?
57
What is the remainder when 365 is divided by 34?
25
Calculate the remainder when 94 is divided by 12.
10
Calculate the remainder when 217 is divided by 20.
17
Calculate the remainder when 4642 is divided by 212.
190
Calculate the remainder when 341 is divided by 32.
21
What is the remainder when 82 is divided by 30?
22
Calculate the remainder when 2794 is divided by 33.
22
Calculate the remainder when 65 is divided by 28.
9
Calculate the remainder when 29 is divided by 24.
5
What is the remainder when 417 is divided by 106?
99
What is the remainder when 2909 is divided by 2896?
13
What is the remainder when 466 is divided by 9?
7
What is the remainder when 441 is divided by 6?
3
What is the remainder when 1216 is divided by 22?
6
What is the remainder when 334 is divided by 92?
58
Calculate the remainder when 958 is divided by 141.
112
Calculate the remainder when 287 is divided by 75.
62
Calculate the remainder when 431 is divided by 153.
125
Calculate the remainder when 834 is divided by 96.
66
What is the remainder when 57 is divided by 16?
9
What is the remainder when 515 is divided by 20?
15
Calculate the remainder when 105 is divided by 23.
13
Calculate the remainder when 2385 is divided by 1189.
7
What is the remainder when 691 is divided by 33?
31
Calculate the remainder when 18 is divided by 11.
7
Calculate the remainder when 173 is divided by 44.
41
Calculate the remainder when 5434 is divided by 1811.
1
Calculate the remainder when 3318 is divided by 41.
38
What is the remainder when 14150 is divided by 232?
230
What is the remainder when 244 is divided by 35?
34
Calculate the remainder when 260 is divided by 54.
44
What is the remainder when 1234 is divided by 312?
298
What is the remainder when 20079 is divided by 251?
250
What is the remainder when 220 is divided by 21?
10
What is the remainder when 3607 is divided by 41?
40
What is the remainder when 443 is divided by 46?
29
Calculate the remainder when 1296 is divided by 143.
9
Calculate the remainder when 442 is divided by 2.
0
What is the remainder when 158 is divided by 83?
75
What is the remainder when 2515 is divided by 34?
33
Calculate the remainder when 199 is divided by 53.
40
What is the remainder when 1245 is divided by 89?
88
What is the remainder when 3095 is divided by 12?
11
What is the remainder when 126 is divided by 47?
32
Calculate the remainder when 6466 is divided by 223.
222
What is the remainder when 609 is divided by 88?
81
Calculate the remainder when 2633 is divided by 20.
13
What is the remainder when 811 is divided by 11?
8
Calculate the remainder when 677 is divided by 16.
5
What is the remainder when 143 is divided by 72?
71
Calculate the remainder when 380 is divided by 28.
16
What is the remainder when 3533 is divided by 19?
18
Calculate the remainder when 1434 is divided by 294.
258
What is the remainder when 378 is divided by 125?
3
What is the remainder when 3168 is divided by 48?
0
Calculate the remainder when 126 is divided by 56.
14
Calculate the remainder when 90 is divided by 24.
18
What is the remainder when 10290 is divided by 18?
12
What is the remainder when 182 is divided by 37?
34
What is the remainder when 236 is divided by 89?
58
Calculate the remainder when 14390 is divided by 117.
116
Calculate the remainder when 112 is divided by 24.
16
What is the remainder when 125 is divided by 77?
48
What is the remainder when 682 is divided by 651?
31
Calculate the remainder when 2994 is divided by 25.
19
Calculate the remainder when 365 is divided by 8.
5
What is the remainder when 193 is divided by 13?
11
Calculate the remainder when 1367 is divided by 225.
17
What is the remainder when 1546 is divided by 143?
116
What is the remainder when 282 is divided by 137?
8
Calculate the remainder when 86 is divided by 16.
6
What is the remainder when 217 is divided by 112?
105
What is the remainder when 200 is divided by 14?
4
Calculate the remainder when 14 is divided by 2.
0
What is the remainder when 474 is divided by 80?
74
What is the remainder when 3264 is divided by 132?
96
Calculate the remainder when 267 is divided by 77.
36
Calculate the remainder when 460 is divided by 58.
54
Calculate the remainder when 221 is divided by 75.
71
What is the remainder when 18052 is divided by 17?
15
What is the remainder when 242 is divided by 57?
14
Calculate the remainder when 886 is divided by 5.
1
What is the remainder when 7312 is divided by 23?
21
What is the remainder when 363 is divided by 28?
27
Calculate the remainder when 1908 is divided by 240.
228
Calculate the remainder when 1855 is divided by 29.
28
What is the remainder when 431 is divided by 24?
23
What is the remainder when 55 is divided by 23?
9
Calculate the remainder when 6797 is divided by 566.
5
What is the remainder when 227 is divided by 43?
12
What is the remainder when 238 is divided by 121?
117
Calculate the remainder when 8 is divided by 4.
0
What is the remainder when 1312 is divided by 189?
178
Calculate the remainder when 29 is divided by 4.
1
Calculate the remainder when 499 is divided by 324.
175
Calculate the remainder when 517 is divided by 26.
23
What is the remainder when 1218 is divided by 10?
8
What is the remainder when 1028 is divided by 20?
8
Calculate the remainder when 36652 is divided by 79.
75
Calculate the remainder when 1040 is divided by 12.
8
Calculate the remainder when 2613 is divided by 19.
10
Calculate the remainder when 372 is divided by 97.
81
Calculate the remainder when 419 is divided by 35.
34
What is the remainder when 321 is divided by 21?
6
Calculate the remainder when 536 is divided by 33.
8
Calculate the remainder when 892 is divided by 21.
10
What is the remainder when 3014 is divided by 116?
114
Calculate the remainder when 43 is divided by 4.
3
What is the remainder when 333 is divided by 14?
11
What is the remainder when 334 is divided by 17?
11
What is the remainder when 297 is divided by 143?
11
Calculate the remainder when 32959 is divided by 277.
273
Calculate the remainder when 373 is divided by 121.
10
What is the remainder when 727 is divided by 17?
13
What is the remainder when 233 is divided by 91?
51
Calculate the remainder when 2815 is divided by 6.
1
What is the remainder when 13162 is divided by 231?
226
What is the remainder when 786 is divided by 93?
42
What is the remainder when 21105 is divided by 12?
9
Calculate the remainder when 105 is divided by 32.
9
What is the remainder when 310 is divided by 133?
44
Calculate the remainder when 376 is divided by 51.
19
What is the remainder when 50 is divided by 9?
5
What is the remainder when 566 is divided by 38?
34
Calculate the remainder when 2857 is divided by 52.
49
What is the remainder when 50 is divided by 17?
16
What is the remainder when 17 is divided by 4?
1
What is the remainder when 34769 is divided by 109?
107
Calculate the remainder when 782 is divided by 56.
54
What is the remainder when 515 is divided by 156?
47
Calculate the remainder when 1619 is divided by 323.
4
What is the remainder when 356 is divided by 8?
4
What is the remainder when 1241 is divided by 252?
233
What is the remainder when 76 is divided by 26?
24
Calculate the remainder when 119 is divided by 40.
39
What is the remainder when 3177 is divided by 29?
16
What is the remainder when 1324 is divided by 102?
100
Calculate the remainder when 12953 is divided by 34.
33
Calculate the remainder when 1476 is divided by 51.
48
Calculate the remainder when 674 is divided by 142.
106
Calculate the remainder when 1330 is divided by 291.
166
What is the remainder when 216 is divided by 45?
36
Calculate the remainder when 629 is divided by 14.
13
Calculate the remainder when 192 is divided by 49.
45
What is the remainder when 859 is divided by 144?
139
What is the remainder when 171 is divided by 43?
42
What is the remainder when 105 is divided by 54?
51
What is the remainder when 98 is divided by 26?
20
What is the remainder when 338 is divided by 34?
32
What is the remainder when 813 is divided by 256? | {
"pile_set_name": "DM Mathematics"
} |
*a - 22*a = 2046 for a.
93
Solve -1255*o - 174 = -1197*o for o.
-3
Solve -3047*f + 18218*f = 7848*f - 864114 for f.
-118
Solve -143*r - 17535 + 50340 = 20078 for r.
89
Solve 1950 + 552 + 558 = 170*z for z.
18
Solve 11646*t + 55096 + 95375 = -39622 - 19535 for t.
-18
Solve 334*k - 1431 + 11223 = 1966*k for k.
6
Solve -18929 + 132053 = 1374*d - 14658 for d.
93
Solve 622316*h - 622277*h = 1560 for h.
40
Solve 0 = 45*t - 1280 - 430 for t.
38
Solve -55*k = 9572 - 8802 for k.
-14
Solve -7033 + 6953 = 5*w for w.
-16
Solve -192*d + 2266 = 6*d + 708 + 15616 for d.
-71
Solve -956 = 101*i - 103*i - 1140 for i.
-92
Solve -132*g + 3340 = -3469 - 55 for g.
52
Solve -7494 + 93 + 1519 - 5780 = 119*l for l.
-98
Solve 33*l + 566 - 1351 = 846 - 14 for l.
49
Solve -654*s = -2165*s - 128435 for s.
-85
Solve -1499*r - 11075 - 11104 = -7487 + 7793 for r.
-15
Solve -994 + 9715 = 153*y for y.
57
Solve -349983 = 314*z - 326119 for z.
-76
Solve 0 = -51*k + 221 + 108 + 28 for k.
7
Solve 907*z - 1783*z - 2935 = -979*z + 3245 for z.
60
Solve 0 = 1139*z - 987*z - 760 for z.
5
Solve 6040*j - 3868*j = 73848 for j.
34
Solve 434*y + 78*y - 29659 = -9691 for y.
39
Solve -222*t - 322 = -208*t for t.
-23
Solve -491775 = -8978*c - 6963 for c.
54
Solve 974*l + 4182 + 29908 = 0 for l.
-35
Solve 16976 + 11260 = 435*h + 3580 - 8404 for h.
76
Solve 3165*s - 1443*s + 62565 + 166461 = 0 for s.
-133
Solve 666692 + 655860 = -11704*d for d.
-113
Solve 14113*c - 14597*c = -21296 for c.
44
Solve 180*y + 63423 - 69183 = 0 for y.
32
Solve 950*b - 19243 = 707 for b.
21
Solve -666 - 814 = -116*c + 397*c + 487 for c.
-7
Solve 0 = 476*f + 5951 + 7550 + 14107 for f.
-58
Solve -200*n - 36081 = 375*n - 20*n + 78*n for n.
-57
Solve 12357*b - 5626*b = 2177*b + 541926 for b.
119
Solve 126250 - 227320 - 242562 = 5286*g - 31758 for g.
-59
Solve -133777 = -3152*h + 86863 for h.
70
Solve 0 = -845*y + 231*y - 9450 + 16764 + 22772 for y.
49
Solve 4165050*t + 13524 = 4165197*t for t.
92
Solve 225*q + 11415 = -193*q - 198*q + 4023 for q.
-12
Solve -772*h - 168 = 758*h - 1537*h for h.
24
Solve 811*p + 2552 + 4480 = -3511 for p.
-13
Solve -2131 - 431 = -61*g for g.
42
Solve -16*z - 501*z = -11401 - 8762 for z.
39
Solve -1900*r + 96322 = 933*r for r.
34
Solve -4506*d = -2160*d - 2082*d - 35640 for d.
135
Solve -11295*s - 11280*s = -22498*s + 7469 for s.
-97
Solve -78092 + 85282 = 719*y for y.
10
Solve -998*n - 648*n = 71*n + 9435 - 139927 for n.
76
Solve 2597*a - 455033 = -3445*a - 1896*a + 180007 for a.
80
Solve 1668*q + 1222 = 1642*q for q.
-47
Solve 1879*i - 3488 = 1770*i for i.
32
Solve -31*m - 10*m = 33*m + 9*m + 73*m for m.
0
Solve -2688 - 6875 = 131*z for z.
-73
Solve -19*q + 270 + 18 = -22*q + 75*q for q.
4
Solve -1681*b - 224680 = -258*b + 217*b for b.
-137
Solve 53894 = 2995*y - 6936 - 22698 - 6322 for y.
30
Solve 164*f + 120 = 130 - 666 for f.
-4
Solve -119*f = 3887 + 1349 for f.
-44
Solve 0 = -9009*u + 8925*u - 51 - 369 for u.
-5
Solve -999*d = 3341 - 43245 - 3625 - 10417 for d.
54
Solve -96*g = -24*g - 27*g - 35*g - 130 for g.
13
Solve 0 = -566*q + 470*q - 3648 for q.
-38
Solve -18*l - 46 + 31 + 0 = 129 for l.
-8
Solve -2097 - 5181 = -105*p - 372*p + 831 for p.
17
Solve -52*y - 106*y - 103*y = -26*y + 17155 for y.
-73
Solve -64953258*w = -64953239*w + 1045 for w.
-55
Solve -185*v - 12533 = -513*v + 6491 for v.
58
Solve 826*t - 4004 = -7308 for t.
-4
Solve -137*p - 4 - 2459 = 1373 for p.
-28
Solve -25*h - 47*h - 6711 + 1167 = 0 for h.
-77
Solve 91*d + 963 + 2143 = 295*d - 770 for d.
19
Solve 1799*o - 917*o = 927*o - 135 for o.
3
Solve 1807646*n - 1807611*n - 110 + 960 = -1600 for n.
-70
Solve 359 - 1219 = -117*n + 310 for n.
10
Solve 0 = 30*l + 925 + 326 + 1111 + 98 for l.
-82
Solve -30*p = -1289 + 165 - 286 for p.
47
Solve 6619*q - 95 = 6632*q - 381 for q.
22
Solve 13821*d - 1454*d + 195213 = -546807 for d.
-60
Solve 0 = -436*y - 10719 - 13364 + 1729 + 1862 for y.
-47
Solve 29778 = 967*m - 56656 + 29381 for m.
59
Solve 0 = -188*a + 108*a + 96*a + 400 for a.
-25
Solve -124 + 714 + 392 = -336*x - 698 for x.
-5
Solve -257*b + 92*b - 260*b + 16150 = 0 for b.
38
Solve 15*n - 93*n + 526 + 2282 = 0 for n.
36
Solve -76*g + 1255*g = -31833 for g.
-27
Solve -17*i + 2414 - 1089 = 8*i for i.
53
Solve -1561*d - 337*d = -15184 for d.
8
Solve 84*c + 35*c = -1809 + 696 - 1505 for c.
-22
Solve -1663*a + 4561 + 32663 = -902*a + 1307*a for a.
18
Solve -101947*w = -104361*w + 24140 for w.
10
Solve 766*r + 1262*r + 194*r - 10460 = 130*r for r.
5
Solve -122*t - 10643 = -7105 for t.
-29
Solve -16523*a + 16577*a + 2754 = 0 for a.
-51
Solve -1171*n + 41639 + 287508 = -6562*n - 339337 for n.
-124
Solve 185*k - 49*k + 261785 - 263009 = 0 for k.
9
Solve -4907 = -425*g + 835 - 642 for g.
12
Solve 1688*y - 8519 - 2540 = -2619 for y.
5
Solve 315*z - 827*z = 23552 for z.
-46
Solve 3721*c = 3427*c - 10878 for c.
-37
Solve 83*d = 87399 - 91051 for d.
-44
Solve -321*t - 4490 = t + 5814 for t.
-32
Solve 609*z - 75457 = 4308*z + 31814 for z.
-29
Solve 91 - 2487 = -100*i + 1878 + 1326 for i.
56
Solve 3661068 - 3638248 = -163*c for c.
-140
Solve -46*x - 88 = 802 + 306 for x.
-26
Solve -21357 = 429*t - 23931 for t.
6
Solve -45574424*w + 21390 = -45574654*w for w.
-93
Solve 29*v = 1413 + 306 - 269 for v.
50
Solve 6204*b - 6198*b = 162 for b.
27
Solve 1553*w - 20925 = 2018*w for w.
-45
Solve -21*d - 141*d + 54*d - 96*d = -1632 for d.
8
Solve 219*z + 170*z = -532*z + 1842 for z.
2
Solve 98*q - 987 = 6*q - 3379 for q.
-26
Solve -6501 - 349 = -525*g - 5183 + 18283 for g.
38
Solve -261*b + 1446 - 1114 = -2017 for b.
9
Solve -5095*b + 134082 = -2612*b for b.
54
Solve 673*q = -415 + 1686 + 1421 for q.
4
Solve 3217 = 532*h - 250 - 789 for h.
8
Solve 18032947*z - 462 = 18033013*z for z.
-7
Solve 4302*k = 4343*k - 533 for k.
13
Solve -203275 = 2864*k + 174*k + 82297 for k.
-94
Solve 2211*u + 76829 - 27571 = -38437 - 745 for u.
-40
Solve -15*a - 75*a - 3547 + 9911 = 82*a for a.
37
Solve -1200*n - 202320 = -4010*n for n.
72
Solve -2463*v = 52166 - 443 for v.
-21
Solve -230*y + 14760 = 573*y + 427*y for y.
12
Solve -159*u = 825733 - 838771 for u.
82
Solve 6357 = -982*z + 10285 for z.
4
Solve -38*k - 25*k - 830 + 3372 = -k for k.
41
Solve 0 = -23*p + 130*p + 20741 - 19885 for p.
-8
Solve -2867 = -34*a + 193*a - 6265 - 4393 for a.
49
Solve 64*f + 3503 - 3620 = 2624 + 3851 for f.
103
Solve 0 = 896*q + 89 + 245 + 562 for q.
-1
Solve 13464*q - 1182010 = 178*q - 18830*q + 2222286 for q.
106
Solve 7203 = -255*w - 3854 + 13 - 941 for w.
-47
Solve 1626*t = 4984*t + 111346 + 156718 + 181908 for t.
-134
Solve 392*u = 1352*u + 273*u + 33291 for u.
-27
Solve -162*v - 1760 = -1005*v + 3298 for v.
6
Solve -305165 = 200*i - 303965 for i.
-6
Solve -3722*g = 5014*g + 3345*g - 701*g - 1308700 for g.
115
Solve 60368*b - 62260*b - 210012 = 0 for b.
-111
Solve 0 = 1692*m + 133590 + 47454 for m.
-107
Solve 4746*o - 4819*o - 9709 = 0 for o.
-133
Solve -18*n = -15*n - 6*n + 45 for n.
15
Solve 63*f - 199 = 74*f - 502 - 478 for f.
71
Solve 114*x + 208*x - 53667 = -200*x - 81*x for x.
89
Solve 11932 + 1437 + 5708 = 144*q + 3669 for q.
107
Solve 76*c + 1133 + 2008 = 1409 - 3208 for c.
-65
Solve -9*v + 70*v + 2708 - 755 = -1219 for v.
-52
Solve -2*y = -111*y + 491 - 11282 for y.
-99
Solve -28 = 1197*o - 2388*o + 1195*o for o.
-7
Solve -152*d + 568*d = -2359 + 315 - 1284 for d.
-8
Solve -9160*y + 4588*y - 1378 = -4625*y for y.
26
Solve 258*g - 22680 = -72*g + 142*g - 316*g for g.
45
Solve 16590 = 6736*s - 6578*s for s.
105
Solve -2100843 = 379*i - 2076587 for i.
-64
Solve -2378 + 5938 = 1017*g + 22883 for g.
-19
Solve -3942*t + 4478*t = -32160 for t.
-60
Solve -147935 = 3600*p - 230735 for p.
23
Solve 113*x + 243 = 62*x + 78*x for x.
9
Solve 1510 + 1150 + 1834 = -214*r for r.
-21
Solve 906*v = -933*v - 154476 for v.
-84
Solve -30265*n - 123799 = -29108*n for n.
-107
Solve 43*u + 191*u + 348 = 60*u for u.
-2
Solve -22235*c = -21793*c + 56225 - 19097 for c.
-84
Solve -590024*s + 11084 = -589861*s for s.
68
Solve -7538*o = -3770*o - 3770*o for o.
0
Solve -108520 + 3548 = 2282*w for w.
-46
Solve 258*y + 86463 - 3248 = -11*y - 1244*y for y.
-55
Solve -9030*s + 9457*s - 3416 = 0 for s.
8
Solve 0 = -13803*t + 13754*t - 1225 for t.
-25
Solve 1314*m - 738 = 15030 for m.
12
Solve 357 + 5187 | {
"pile_set_name": "DM Mathematics"
} |
100 + 24*g).
28*g**2
Expand (1 - 2*a - 1)*(-4 - 2 - 6) - 30 - 5*a + 30 + 3*a + a - 3*a.
20*a
Expand (0*f - 2*f + f)*(f**2 - 4*f**2 + 2*f**2) + 3*f - 2*f**3 + 0*f - 48*f**3.
-49*f**3 + 3*f
Expand 7*s - 6*s - 2*s + (-4 + 1 + 4)*(-5*s + 3*s - s) - 6*s + 6*s + 4*s + (3*s + 2*s - 4*s)*(1 - 3 + 1) - 2 + 2 - 2*s.
-3*s
Expand (-s - 3*s + 3*s)*(-8*s + 90 - 90)*(2 - 4 + 7).
40*s**2
Expand (2 + 0 + 0)*(0*g + 3*g**2 + 0*g) + (-3*g + 5*g - 3*g)*(g + 2*g - g).
4*g**2
Expand -15 - 32*a**3 + 0 + 10 - a + a - 2*a**3 + (a**3 - 2*a**3 + 2*a**3)*(-2 + 3 - 3) + 0 - a**3 + 0 + 0*a**3 + 0*a**3 - 2*a**3 + 3*a**3 - 2*a**3 + a**3.
-37*a**3 - 5
Expand j - j + j**4 + ((5*j - 4*j - 3*j)*(2*j + 3 - 3) + j**2 + 0*j + 0*j + j**2 - j**2 + 7*j**2)*(-3*j**2 + 2*j**2 + 6*j**2).
21*j**4
Expand -27*c + 6*c + 18*c + 35 + (4 + 0 - 3)*(0*c - 3*c + 2*c).
-4*c + 35
Expand (-5*j**5 + 5*j**5 - 6*j**5)*(3 + 2 - 3) + (9*j**5 - 4*j**5 + 7*j**5)*(2 - 3 - 1).
-36*j**5
Expand (2*g**2 - 6*g**2 - g**2)*(-2*g + 2*g - 2*g**2) - 2*g**4 + 12*g - 12*g + (5*g**4 - 3*g**4 - 3*g**4)*(-3 - 1 + 3).
9*g**4
Expand -2*f + 4*f - 4*f - f + 0*f - f - 3*f + 0*f + 2*f + (f + 5*f - 4*f)*(0 - 4 + 2) + 2 - 2 - f + (-1 + 0 - 1)*(5*f - 3*f + 9*f).
-32*f
Expand -v**2 - 5 + 6 - 15 + (-2*v**2 + v**2 + 4*v**2)*(3 + 1 - 2).
5*v**2 - 14
Expand (6*o - o - 4*o)*(0 - 2 + 4)*(-6*o + 6*o + 4*o**2)*(o + 2*o - o).
16*o**4
Expand (5*f - 4*f + 2*f)*(18*f**2 + 1 - 44*f**2 + 20*f**2).
-18*f**3 + 3*f
Expand (2*f - 2*f - f)*(-26*f**3 - 3 + 19*f**3 + 2).
7*f**4 + f
Expand (3*r - 14*r - r)*(0 - 2 + 0)*(1 - 12*r**3 + 2*r**2 + 5*r**3 + 8*r**3).
24*r**4 + 48*r**3 + 24*r
Expand -2*p + 2*p - 2*p**2 + (-12*p + 5 - 5)*(-106 + 105 - 30*p - 12*p).
502*p**2 + 12*p
Expand 3*t**2 - 2 + 2 + (3 - 3 - 5*t**2)*(-2 + 10 - 1) + t - t + t**2 + (2 - 2 + 1)*(2*t**2 + 1 - 1) + 0 - 2*t**2 + 0.
-31*t**2
Expand (s - 1 + 1 + (s - 2*s - 6*s)*(2 + 1 - 5) + 6*s - 2*s - 2*s)*(-3 - 2*s**4 + 3 + (s**2 + 1 - 1)*(s**2 + 0*s + 0*s)).
-17*s**5
Expand (1 + 3*s - 11*s - 4*s)*(3*s - 7*s - s).
60*s**2 - 5*s
Expand (-1 - 2*n**2 + 1)*(2*n + n + n) - 2*n**3 + n**3 + 2*n**3 + (1 - 1 + n**2)*(-3*n + 3*n - n).
-8*n**3
Expand ((5 - 1 - 1)*(-5 + 4*x + 5) - 3*x + 2*x + 6*x)*(4*x**3 - 4*x**3 - 2*x**3).
-34*x**4
Expand (23*f**2 + 20*f**2 + 2*f**2)*(-2*f**2 - 6*f**2 + 3*f + 9*f**2).
45*f**4 + 135*f**3
Expand 8*n**3 + n**4 - 8*n**3 - 3*n**4 + n**4 + 0*n**4 + (6*n**2 - 132 + 132)*(n**2 + n**2 - 5*n**2).
-19*n**4
Expand (0*w - 3*w + 2*w)*(1101 - 401 - 498).
-202*w
Expand (2*q**3 - 2*q**2 + 2*q**2)*(q + 3*q - 6*q - 1 + q + 1 + 3*q - 6*q + 2*q + (-2*q - 4 + 4)*(-2 + 4 - 4) - 82*q - 15*q - 139*q).
-468*q**4
Expand 7*d**2 + 20*d - 20*d + (10 - 20*d - 10)*(d + 0*d + 0*d).
-13*d**2
Expand (-22*c**2 - 79 + 79)*(-4 + 4 + c) + 0*c**3 + 0*c**3 + c**3 + (-1 + 1 + c**3)*(-4 - 4 + 2).
-27*c**3
Expand -2*u - u**2 - 1 + 4 + 1 - u**2 - 5*u**2 + 2*u**2 + (0 + 1 - 2)*(2*u**2 - 2 + 2).
-7*u**2 - 2*u + 4
Expand (7*u - 7*u - 7*u**3)*(2*u**2 - 1 + 1) + (-5*u**4 + 5*u**4 - 4*u**5)*(2 + 2 + 3).
-42*u**5
Expand (0*l + 7*l + 4*l)*((3 + 2 - 2)*(-1 - 1 + 4)*(2 + 2 - 1)*(3 + 0 - 4) + 2 - 3 - 1).
-220*l
Expand (-14568 + 14568 + 257*n)*(2*n**2 - 2*n**2 - n**2).
-257*n**3
Expand (f + 3 - 3)*(-9*f**2 + 3*f**4 - 4*f**2 + 9*f**2).
3*f**5 - 4*f**3
Expand (-2*b**3 + 16*b**3 - 3*b**3)*(14*b - 216 + 216).
154*b**4
Expand (3*t + 3*t - 4*t)*(118 - 25 + 145) - 2 + 2 - 2*t.
474*t
Expand (1 - 7 + 1)*(4 + 5 - 5)*(-2*k + k**2 + 2*k + (2 - 2*k - 2)*(-4*k + 2*k - 2*k)).
-180*k**2
Expand 3*j - 7*j + 2*j + 0*j + j - 3*j - 1 + 0 - 4*j + 2*j + (-2*j + 4*j - j)*(3 - 2 + 0).
-5*j - 1
Expand (-v - 5*v + 5*v)*(4*v**2 + 0*v**2 + v**2) + (0 + 0 + 1)*(-v**3 - 3*v + 3*v) + 198 - 32*v**3 - 198.
-38*v**3
Expand (5 + 1 - 4)*((2*n - 6*n + 3*n)*(6 + 0 - 4) - 3 - n + 3 + 9 - 9 - 10*n - 3*n + 2*n + 3*n).
-22*n
Expand (-a**3 + 5*a**3 - a**3)*(-3*a + a + 0*a) + 12*a**4 - 170*a**2 + 170*a**2 + (3*a**2 - 3*a**2 - a**2)*(-2*a**2 + 0*a**2 + 3*a**2).
5*a**4
Expand x**4 - 2*x**4 - 2*x**4 + (-x + x - x)*(-1 + x**3 + 1) - 2*x**4 + 2*x**2 - 2*x**2 + 0*x**4 + x**4 - 2*x**4 + (-9 - 7*x + 9)*(-x**3 + 5*x**3 - 3*x**3).
-14*x**4
Expand (1 - 3 + 1)*(-m + 5*m - 5*m) + 0*m - m + 2*m - m + 3*m - 4*m + (3 - 1 - 3)*(3*m + 0*m - 2*m) - 12 - 7*m + 12 - 11*m - 2*m + 4*m.
-17*m
Expand (38*o**3 - 52*o**3 - 85*o**3)*(-6*o**2 + 8*o - 8*o + (0 - 2*o**2 + 0)*(2 + 3 - 3) - o**2 - 2*o**2 + 2*o**2).
1089*o**5
Expand (-2*c + 3*c + 0*c)*(-31 - 36 - 38).
-105*c
Expand (-22 - 8 + 30 + 211*n)*(4*n**4 + 3*n**3 - n**4 + 3*n**4).
1266*n**5 + 633*n**4
Expand (-7*j**2 - j**2 + 3*j**2)*(-4 + 3 + 2)*(3*j**2 + 33*j - 33*j).
-15*j**4
Expand (39 - 12 + 1 + (-1 + 1 + 1)*(-4 - 1 + 6) - 2 + 1 + 3 + 1 - 4 + 2)*(0*z + 4*z - 2*z)*(0*z + 7*z + 5*z).
720*z**2
Expand 2*b**2 + b**2 - 5*b**2 + (3*b - 2 - 1 + 1)*(b - 5*b + 2*b) - 3 - 24 + 5*b**2 - 7*b**2.
-10*b**2 + 4*b - 27
Expand -8*m**4 + 18*m**3 - 18*m**3 + (0*m + m - 2*m)*(5*m**3 + 2*m**3 + 0*m**3).
-15*m**4
Expand 6*t**3 + 14*t**3 - 6*t**3 + (t**3 + 0*t**3 - 2*t**3)*(5 - 2 - 5) - t**2 + t**3 + t**2 - 1 + 2*t**3 + 1 - 2*t**3 + 0*t**2 + 0*t**2 - t**3 + t**3 + t**3.
18*t**3
Expand 93*u**4 + 2*u**5 - 20507*u + 20507*u + (3*u**5 + u**5 - 3*u**5)*(-1 + 0 + 3) + 0*u**5 - u**5 + 3*u**5 + 0*u**5 + 3*u**5 + u**5.
10*u**5 + 93*u**4
Expand (-3*s + 11*s - s)*(42*s - 3 - 20*s - 19*s).
21*s**2 - 21*s
Expand (2*g + 5*g - 3*g)*(0*g + 5*g + 0*g)*(3*g**2 + 252 + 8*g - 252).
60*g**4 + 160*g**3
Expand ((1 - 4 + 1)*(1 - 2 + 3) - 6 + 3 + 2 + 3 - 1 - 1)*((-3 + 3 + m)*(1 + 0 + 0) + 4*m - 3*m + m + 3*m + 4*m + 0*m).
-40*m
Expand (2 - z**2 - 2)*(z - z - 6*z**3) + (2*z - 6*z + 2*z + (-1 - 2 + 4)*(-3*z + z + 3*z))*(3*z**4 - 4*z**4 + 4*z**4).
3*z**5
Expand (0*x**2 + 2*x**2 - 4*x**2)*(0 + 0 + 3*x**2) - 8*x**4 + 158*x - 158*x.
-14*x**4
Expand -8 + 8 - 45*t**3 + (2*t + 4*t - 5*t)*(-2*t - 2*t**2 + 2*t).
-47*t**3
Expand (5*n**2 - 4*n**2 - 2*n**2)*(2*n - 3*n - n) - 159*n**3 - 255*n**3 - 294*n**3.
-706*n**3
Expand (-2 - 2 + 2)*(-2 + 2 - l + (0 + 1 - 2)*(2*l + l - 2*l) + 4*l - l - 2*l + (l + 3*l - 2*l)*(-4 + 4 + 1) - 3*l + 3*l - 4*l - 3*l + 0*l - 3*l).
18*l
Expand (-50*q**5 + 33*q**5 + 16*q**4 + 10*q**5)*(1 - 1 - 1).
7*q**5 - 16*q**4
Expand (1 + 5*t**2 - 6 + 2*t + 3)*(-151 + 151 + 3*t).
15*t**3 + 6*t**2 - 6*t
Expand (2 - 2 + s)*(-s + 0*s + 2*s) + (3*s - 14*s + 9*s)*(0 - 2*s + 0) - 3*s**2 + s**2 + s**2.
4*s**2
Expand (4*w - 4*w - w)*(-83*w + 12836 - 12836) + 2*w - 2*w + 2*w**2 + (4*w - 6*w + 0*w)*(-3 + 2*w + 3).
81*w**2
Expand (2 - 4 + 3)*(0 - h + 0)*((2 + 1 - 2)*(-9 + 4 - 8) - 2 - 1 - 2).
18*h
Expand (28*x**3 - 319*x**3 - 183*x**3)*(-2*x - 3*x + 3*x).
948*x**4
Expand (4*c - 3*c + c)*(-187 - 42*c + 189 - 11*c) - 2*c + 2*c + 2*c**2 + (2*c - 2*c + 2*c)*(-2*c - 2 + 2).
-108*c**2 + 4*c
Expand (-2*v**2 + 2*v**3 + 2*v**2)*(3*v - 3*v**2 - 3*v) + 3*v - 3*v + v**5 + (2 - 2*v**3 - 2)*(2*v**2 - v**2 + v**2) + 4*v**3 - 4*v**3 - 9*v**5.
-18*v**5
Expand (-4 - 2 + 3)*(-g + 4*g - 4*g) + (-1 - 1 + 0)*(-2*g - g - 4*g) + (1 + 3 - 2)*(3*g - 3*g + g) - 1 - g + 1.
18*g
Expand (-5 - 21 + 7)*(2*q - q + q) - 3*q - q + 3*q + (1 + 1 + 0)*(-5*q + 2*q + q) + q + 3 - 3.
-42*q
Expand (4 - 7*q - 7*q + 4*q)*(-1 + 2 - 2).
10*q - 4
Expand (2*g + 2*g - 5*g)*(15*g**3 - 4*g**3 + 15*g**3 + (-g**2 + 4*g**2 - 2*g**2)*(-g + 2*g - 3*g)).
-24*g**4
Expand (-4 - 22*g + 17*g + 1)*(-4*g**3 + 4*g**3 - 6*g**3 + (-g**2 - 2*g**2 + 5*g**2)*(2*g + 3 - 3) + 4*g**3 - 3*g**3 - 2*g**3).
15*g**4 + 9*g**3
Expand (34 + 19 - 10)*(2*u - 2*u - u**3)*(0*u + 3*u - 2*u).
-43*u**4
Expand (2*r**2 + 3*r**2 - r**2)*(r - 24*r - r)*(4*r**2 - 2*r**2 - 4*r**2).
192*r**5
Expand (9*r + 8*r - 3*r)*(-14*r**3 - r**2 + 11*r**3 - r**2 + (4*r - 3*r - 5*r)*(0*r - 2*r**2 + 0*r)).
70*r**4 - 28*r**3
Expand (-2*n + n + 0*n)*(2 - 4 + 0)*(-1 + 1 - 2)*(4 - 49 - 29).
296*n
Expand (28*a**3 - 85*a**2 + 85*a**2)*(2 - 5 + 5)*(3 + 7*a - 3).
392*a**4
Expand -15*z + 34*z + 3*z - 2 + z - 2*z - z + (2 + 0 + 0)*(-5*z + 2*z + z) - 3*z - 2*z + 3*z + 6*z - 5*z - 3*z.
12*z - 2
Expand (-1 - 9 - 58)*(4 - 2 - 4)*(-2*q + 4*q + q).
408*q
Expand (-4 - 2 + 5)*(5 - 5 - 2)*(3*x - 9*x - 9*x).
-30*x
Expand (3*v + 4*v - 5*v)*(83 - 46 + 22*v**2 - 40).
44*v**3 - 6*v
Expand (2*d**2 - 3*d**2 - 5*d**2)*(1 + 0 + 1).
-12*d**2
Expand (-6*t**3 - 19*t**3 - 2 - 2*t**2 + 37*t**3)*(0 - 2 - 3 + (0 + 4 - 3)*(-3 - 3 + 3) - 6 + | {
"pile_set_name": "DM Mathematics"
} |
0*b - 72593*b**2 + 11*b + 2*b + 4*b.
-72593*b**2 + 17*b
Collect the terms in -171001*m**2 - 18 + 18 + 85500*m**2 + 85507*m**2.
6*m**2
Collect the terms in -171*p + 2461*p**3 + 171*p + 1524*p**3 + 1804*p**3.
5789*p**3
Collect the terms in 98*t + 0 - 4 + 2 + 0 + 98*t - 185*t.
11*t - 2
Collect the terms in 980 + 26*m + 1009 - 4*m**3 - 26*m + 1012 - 3001.
-4*m**3
Collect the terms in -27 + 16 + 36*b**2 + 43*b**2 + 38*b**2 + 11 - 115*b**2.
2*b**2
Collect the terms in -6*n**3 - 323*n + 147*n + 5*n**3 + 194*n.
-n**3 + 18*n
Collect the terms in 4*l + 7*l - l - 9*l + 0*l + 4087.
l + 4087
Collect the terms in -5*l**2 + 211 - 3*l**2 + 220 - 561 + 174 + 6*l**2.
-2*l**2 + 44
Collect the terms in -15 - 1749*w - 37 + 52 + 1746*w.
-3*w
Collect the terms in 217187*p**2 + 36995*p**2 + 162653*p**2.
416835*p**2
Collect the terms in 3*o**2 + 227262 - 227262 - 2*o**2 + 8*o**3 - o**2.
8*o**3
Collect the terms in -12*q**2 - 14*q**3 - 33*q - 33*q**3 + 45*q**3.
-2*q**3 - 12*q**2 - 33*q
Collect the terms in -54*z**2 + 54*z**2 + 1401875*z**3.
1401875*z**3
Collect the terms in -63*a**3 - 57*a**3 - 40*a**3 - 62*a**3 - 57*a**3 - 62*a**3 + 350*a**3.
9*a**3
Collect the terms in -14429*c - 83371*c**3 + 14429*c.
-83371*c**3
Collect the terms in -14*z - 57 - 2*z**2 - 6*z**2 + 24*z**2 - 15*z**2.
z**2 - 14*z - 57
Collect the terms in 0 - 4 + 4 + 163*q + 454*q - 3229*q.
-2612*q
Collect the terms in -1128961 + 1128961 + 450*w - 2*w**3 - 397*w - 1082*w.
-2*w**3 - 1029*w
Collect the terms in -33447*u - 33453*u - 33447*u - 33445*u + 133793*u + 2 + 4.
u + 6
Collect the terms in 2 - 31*l - 36*l - 36*l - 21*l + 64*l - 36*l + 59*l.
-37*l + 2
Collect the terms in -88*v**3 - 85*v**2 - v - 71*v**2 + 22*v**2.
-88*v**3 - 134*v**2 - v
Collect the terms in 12 - 15 - 160*n - 7 + 10.
-160*n
Collect the terms in 11942*y**3 - 11944*y**3 + 0*y + y.
-2*y**3 + y
Collect the terms in 0*l**2 + 891*l**3 + 385*l**3 + 734*l**3 + 0*l**2.
2010*l**3
Collect the terms in -16284*r + 8162*r + 8122*r - 9*r**2 + 24*r**2 + r**2 + 1.
16*r**2 + 1
Collect the terms in -1231*b**2 + 636*b**2 + 571*b**2.
-24*b**2
Collect the terms in -p**3 - 159177*p**2 + 79592*p**2 + 79525*p**2.
-p**3 - 60*p**2
Collect the terms in -98*v**2 + 54*v + 54*v + 54*v + 56*v + 58*v - 275*v.
-98*v**2 + v
Collect the terms in 53*g - 51*g - 14*g - 21*g + 79*g - 7*g + 8*g.
47*g
Collect the terms in 1246380*g - 623122*g - 623527*g.
-269*g
Collect the terms in 331*j**2 + 5*j**2 + 8 - 8*j + 20 - 3*j.
336*j**2 - 11*j + 28
Collect the terms in -225*q + 27*q + 4*q - 47*q.
-241*q
Collect the terms in -2 - 2310*w**2 + 4636*w**2 + 2 - 2321*w**2 - 170*w**3.
-170*w**3 + 5*w**2
Collect the terms in -26*l**2 - 173*l**2 - 5*l + 5*l - 28*l**2 - 1556*l**2.
-1783*l**2
Collect the terms in -555*w**3 - 2091256204*w + 2091256204*w.
-555*w**3
Collect the terms in 14*b**2 - 19*b**2 + 17792*b**3 - 17889*b**3.
-97*b**3 - 5*b**2
Collect the terms in -78 + 26*v - 50*v - 44*v - 107*v + 5*v + 77.
-170*v - 1
Collect the terms in -117114*n**2 - 117110*n**2 + 351330*n**2 - 117125*n**2.
-19*n**2
Collect the terms in -187*i**2 + 6*i**2 + 529*i**2 - 23*i**2 + 246*i**2.
571*i**2
Collect the terms in -9*q + 14*q - 14680*q**3 + 7*q - 12*q.
-14680*q**3
Collect the terms in -196462 - 6*j**3 - 3*j**3 + 18*j**3 - 7*j**3.
2*j**3 - 196462
Collect the terms in -1732 - 1730 - 42*u - 1893 + 5355.
-42*u
Collect the terms in -286*t**2 - 154*t**3 + 0*t - 261*t**3 + 286*t**2 + 0*t.
-415*t**3
Collect the terms in 31*d - 5509 + 34*d + 50*d - 116*d.
-d - 5509
Collect the terms in -3988 + 11946 - 2*z - 3994 - 3993.
-2*z - 29
Collect the terms in -23407*y**3 + 4668*y**3 - 42394*y**3.
-61133*y**3
Collect the terms in 514 - 1539 + 515 + 510 - 387*b - 207*b.
-594*b
Collect the terms in 960*n**2 + 2172*n**2 - 12 - 16 + 26.
3132*n**2 - 2
Collect the terms in -13550*t + 16 - 18 + 9*t**2 - 10*t**2 - 11*t**2.
-12*t**2 - 13550*t - 2
Collect the terms in -637 + 6*d - 618 - 3*d + 1865 + 4*d - 8*d - 608.
-d + 2
Collect the terms in 7546 - 7546 - 104*m.
-104*m
Collect the terms in 193*s - 226*s**3 - 101*s + 237*s**3 - 116*s.
11*s**3 - 24*s
Collect the terms in -3 + c**2 + 4*c - 4 - 16 - 8 + 4.
c**2 + 4*c - 27
Collect the terms in -2297466*b**2 - 1703085*b**2 + 938438*b**2 + 223081*b**2.
-2839032*b**2
Collect the terms in 136*z**3 + 13*z**3 - 72*z + 232*z - 88*z - 72*z.
149*z**3
Collect the terms in -153198 - 18*w + 307308 - 154107.
-18*w + 3
Collect the terms in -701919*n**2 - 184287*n**2 + 165433*n**2.
-720773*n**2
Collect the terms in -2*o**3 - 2099*o**2 - 4035*o**2 + 6132*o**2.
-2*o**3 - 2*o**2
Collect the terms in 3*u - 3*u + 51*u - 1759.
51*u - 1759
Collect the terms in -16431*h**3 - 3488263*h + 3488263*h.
-16431*h**3
Collect the terms in 142*q - 20*q + 226*q - 68*q.
280*q
Collect the terms in 23*h - 567*h**2 + 285*h**2 + 283*h**2 - 99*h.
h**2 - 76*h
Collect the terms in 7907 - 17*s**2 - 2*s - 6555 + 34179.
-17*s**2 - 2*s + 35531
Collect the terms in 1 - 1576*x - 3 + 16 + 438*x - 11.
-1138*x + 3
Collect the terms in 4506 + o**2 - 1033 - 3454.
o**2 + 19
Collect the terms in 16*u - 1449 - 4*u - 1433 + 4317 - 1433.
12*u + 2
Collect the terms in 0 - 107572*s - 17 + 17.
-107572*s
Collect the terms in -24625*t + 8278*t + 8227*t + 8231*t.
111*t
Collect the terms in 81*f + 689*f**2 + 266*f - 648*f**2.
41*f**2 + 347*f
Collect the terms in -1 - 8565*h**3 - 18*h + 23*h + 9070*h**3.
505*h**3 + 5*h - 1
Collect the terms in -874396*p**2 + 874054*p**2 + 2*p**3 + 30*p**3.
32*p**3 - 342*p**2
Collect the terms in 31 + 43 + 44 - 118 + 1539*w - 1593*w.
-54*w
Collect the terms in -31*z**3 + 2*z + 154*z**3 - 2*z - 309*z**3.
-186*z**3
Collect the terms in -19*r + 60*r - 24*r + 17*r + 4*r**2 - 29*r.
4*r**2 + 5*r
Collect the terms in 287701 + 294*i - 287701.
294*i
Collect the terms in -4312*a + 2269*a + 2381*a.
338*a
Collect the terms in 87581*t**3 - 88591*t**3 + 1014*t**3.
4*t**3
Collect the terms in 8 + 3 + 12 - 10007*k - 25 + 5.
-10007*k + 3
Collect the terms in -72*s - 75*s - 57*s - 70*s - 73*s - 74*s + 424*s.
3*s
Collect the terms in 33773*h + 210359*h + 153170*h - 118814*h.
278488*h
Collect the terms in 1302*p - 311*p - 24*p**2 - 376*p - 301*p - 314*p.
-24*p**2
Collect the terms in 175 - 98 - 77 - 11535*b - 91*b.
-11626*b
Collect the terms in 36456*g + 36447*g - 72933*g + 63.
-30*g + 63
Collect the terms in -2438*z**3 - 23*z - 10*z + 30*z + 2442*z**3.
4*z**3 - 3*z
Collect the terms in 35*i - 35*i + 3754*i**2 - 3645*i**2.
109*i**2
Collect the terms in 25*v**2 - 564 - 574 - 566 + 2275 - 569.
25*v**2 + 2
Collect the terms in -1637398*s**2 - 677674*s**2 - 306020*s**2.
-2621092*s**2
Collect the terms in -472*u**3 + 1006*u**3 - 557*u**3.
-23*u**3
Collect the terms in 15001*y**2 + 6681*y**2 + 12344*y**2 + 3 - 8481*y**2 - 3.
25545*y**2
Collect the terms in 5*q + 10 + 14*q - 12 + 4*q + 30*q - 29*q.
24*q - 2
Collect the terms in 793 + 283*b - 794 - 10*b.
273*b - 1
Collect the terms in 909627771 - 909627771 - 414*y**3 + y**2 + 5*y.
-414*y**3 + y**2 + 5*y
Collect the terms in 16386*g**3 + 52867*g**3 + 33070*g**3.
102323*g**3
Collect the terms in 169 + 80600*d - 169 + 531220*d.
611820*d
Collect the terms in -6*h**3 - 5*h + 21*h**3 - 2*h + 18*h + 1 + 13*h.
15*h**3 + 24*h + 1
Collect the terms in 28*g - 2 + 36*g + 24*g - 11430*g**2 - 88*g.
-11430*g**2 - 2
Collect the terms in 823828019 - 411914011 - 411914008 - 5*r.
-5*r
Collect the terms in -2930928814*p**3 + 2930928805*p**3 + 3 - 3.
-9*p**3
Collect the terms in 17605297 - 1179*d - 14148*d - 17605299.
-15327*d - 2
Collect the terms in -3446*w**2 - 5055*w**2 - 3616 + 3616.
-8501*w**2
Collect the terms in -3 + 80 + 4*r**2 + 63 - 3*r + 8*r**2.
12*r**2 - 3*r + 140
Collect the terms in 86 - 4*c + 459 - 4*c + 42*c - 23*c - 9*c.
2*c + 545
Collect the terms in -217*a**2 - 1 - 10*a**2 + 226*a**2 + 1 + 0.
-a**2
Collect the terms in -64*m**2 - 65*m**2 + 173*m**2 - 66*m**2 + 81*m**2 - 64*m**2.
-5*m**2
Collect the terms in 57*r - 7*r - 18*r + 2233 - 21*r.
11*r + 2233
Collect the terms in 330*b**3 - 4*b + 0*b + b + 1284*b**3.
1614*b**3 - 3*b
Collect the terms in -1294276*x**3 - 1294286*x**3 + 2588580*x**3.
18*x**3
Collect the terms in 3*c**3 - 8*c**3 + 4*c**3 - 59*c**3 + 26*c**3 - c**3.
-35*c**3
Collect the terms in 2237*z + 166*z**2 + 2231*z + 2257*z - 6725*z.
166*z**2
Collect the terms in 2420*h - 72 | {
"pile_set_name": "DM Mathematics"
} |
-4*z = -6*z - x + 699. Let t = z - 179. Calculate the remainder when t is divided by 57.
56
Let x(o) be the first derivative of o**3/3 - 9*o**2/2 - 7*o + 16. Calculate the remainder when 120/90*(-1*66)/(-2) is divided by x(11).
14
Let s = -26 - -60. Calculate the remainder when -3 - (30/80 - (-1542)/(-16)) is divided by s.
25
Let x = 68972 - 68952. Let k = -3 + 39. What is the remainder when k is divided by x?
16
Let m(h) = 18*h - 4. Let q(i) = -9*i + 2. Let x(o) = -3*m(o) - 5*q(o). Let z = -75 + 160. What is the remainder when z is divided by x(-1)?
8
Let y(n) = -2 - 1 + 0*n**2 + n - 8*n**3 + n**2 - 5*n. Calculate the remainder when y(-2) is divided by 20.
13
Suppose -31*d - 171 = -1318. Suppose t - 5 = 0, 3*t = 5*o - 2*o - 15. Calculate the remainder when d/(-3)*201/(-67) is divided by o.
7
Suppose 0 = -63*q + 68*q - 15. Suppose -q*n + 7*n = 92. Calculate the remainder when 1100/16 - (-3)/(-4) is divided by n.
22
Suppose x - 4*s - 12301 = 0, 2*x - 6*s - 24630 = -12*s. Calculate the remainder when x is divided by 27.
24
Suppose -2*k = 2*p + 3*k - 4, 2*k = 0. Suppose 32 - p = -2*n. Let z = 19 - n. Calculate the remainder when 100 is divided by z.
32
Let p be (1 - -3) + 1/(-4)*-60. Let h(t) = t**3 - 21*t**2 + 41*t - 39. What is the remainder when 629 is divided by h(p)?
17
Let n(a) = a - 2. Let p be n(2). Suppose 0 = 4*z - x - 59, -2*z + 5*z - 2*x - 43 = p. Calculate the remainder when 41 is divided by z.
11
Suppose 3*o - 35*a + 31*a - 148 = 0, 3 = -3*a. Suppose 17*t = 16*t + 68. Suppose -2*d = -t + 18. What is the remainder when o is divided by d?
23
Let i be ((-8)/(-6))/((-6)/117*1). Let d = -17 - i. Calculate the remainder when 9/((-81)/(-578)) - 2/d is divided by 13.
12
Let w = 18 + 5. Let g = -7 + w. Let v = -926 - -972. Calculate the remainder when v is divided by g.
14
Let c(x) = x + 6. Let o(v) = -v**2 + 55*v - 579. Calculate the remainder when o(15) is divided by c(0).
3
Suppose -17*h - 1585 = -22*h. Suppose 570 = -312*w + h*w. Let r = -53 + 93. What is the remainder when w is divided by r?
34
Let o(m) = 160*m + 961. What is the remainder when o(-5) is divided by 6?
5
Let a = -13 - -21. Let t(u) = 2*u**2 - 4*u + 14. What is the remainder when t(0) is divided by a?
6
What is the remainder when -8 + 6 - (5669/(-6) + (-31)/186) is divided by 86?
83
Let g(a) = -585*a + 3426. What is the remainder when g(0) is divided by 5?
1
Let h = -59 + 89. Let j = 132 + -156. Calculate the remainder when h is divided by (-256)/j - 2/(-6).
8
Suppose -70*q - q = -568. What is the remainder when 510 is divided by q?
6
Let l(f) be the first derivative of 18*f**2 + 198*f + 21. What is the remainder when l(19) is divided by 34?
32
Suppose 0 = 3*a - 21 - 30. Let l(f) = -52*f**3 - 12*f - 10. Calculate the remainder when l(-1) is divided by a.
3
Let i = 23 + -159. Let c = i - -147. Calculate the remainder when 75 is divided by c.
9
Suppose 3*r + 2*y = 6, r + r + 2*y = 2. Suppose -2*a = 4*h - 66, r*a + 0 + 12 = h. Calculate the remainder when 61 is divided by h.
13
Calculate the remainder when 92 is divided by ((-12)/5 - -2)/((-219)/1095).
0
Let o = 534 - 512. Let p(q) = q**3 - 24*q**2 + 43*q + 30. Let i(a) = 7*a**2 + 1. Calculate the remainder when i(-2) is divided by p(o).
5
Let q = 2562 - 2519. Let p(i) = 170*i**2 - 2*i + 1. What is the remainder when p(1) is divided by q?
40
Suppose -1258 = 18*y - 7*y - 7660. What is the remainder when 1765 is divided by y?
19
Let o(r) = -2*r + 50. Let w be o(24). Suppose -w*c - 3*s + 28 = 0, 5*c + s = 3*s + 32. Suppose -4*g + 7*g = 39. What is the remainder when g is divided by c?
5
Suppose 2*i + 9 = -2*i - 3*u, 0 = -3*u + 3. Suppose -2*p - 2*q = -38, 55 = -2*p + 5*p + 4*q. Calculate the remainder when 79 + i*(-6 - -5) is divided by p.
19
What is the remainder when 764 is divided by (153 - 170) + (204 - -1)?
12
Suppose 1 = q, 3*q - 284 = -3*z + 7*q. Suppose 2*s - 4*w - 104 - z = 0, -2*w = 3*s - 276. Calculate the remainder when s is divided by 14.
10
Let s(h) be the third derivative of h**5/30 + 4*h**4/3 - 35*h**3/6 + 8*h**2 + h. What is the remainder when 108 is divided by s(-18)?
34
Suppose -5*a + 20 = -5*c, -26*c = -22*c - a + 4. Suppose -2*q + 1 = -f + 27, -f - 4*q + 26 = c. Calculate the remainder when 201 is divided by f.
19
Let q = -4 + 12. Suppose 608*h - 772*h = -69372. What is the remainder when h is divided by q?
7
Suppose 37*n + 559 = -3*n + 1359. Calculate the remainder when ((-117)/6 + 2)*-6 is divided by n.
5
Suppose x + 1 = 3*l, 5*x - 17 = 4*l - 0*x. Suppose -198 = l*b - 7*b - 4*f, -3*b - 3*f = -117. What is the remainder when b is divided by 23?
19
Suppose -66*z + 900 = -16*z. What is the remainder when 334 is divided by z?
10
Suppose -137*j - 11 = -126*j. Calculate the remainder when 221 is divided by (-4 + (-35 - 6))/j.
41
Suppose -2*a - 110 = -0*a. Let q be ((-4)/(-5))/((-22)/a). Suppose -5*l - 16 = -3*h, l - q = 4*h - 6*h. Calculate the remainder when 2 is divided by h.
0
Let u(w) = 6*w + 1. Let p = 43936 - 43909. Calculate the remainder when p is divided by u(1).
6
Let x(z) = -z**2 - 13*z + 3. Suppose -4*s = -5*s - 12. Let n be (((-39)/(-6))/(-1))/((-6)/s). Calculate the remainder when 14 is divided by x(n).
2
Suppose -k - 32 = -166*a + 161*a, -34 = -4*a - 2*k. What is the remainder when 1139 is divided by a?
5
Suppose -4 + 34 = -5*c. Let t be -3*((-2)/(-3) + 26/c). Suppose t*p = 16*p - 45. Calculate the remainder when 31 is divided by p.
4
Let o(t) be the first derivative of -t**4/2 - 14*t**3/3 - 4*t**2 + 13*t - 54. Let k = -32 + 56. Calculate the remainder when o(-7) is divided by k.
21
Suppose 25*x - 4 = 96. Calculate the remainder when 24 is divided by 16 + -3 + x/(-1 + 0).
6
Suppose -17*k - 13*k = -930. Let j = -117 - -289. What is the remainder when j is divided by k?
17
Suppose -60 = 5*q - 225. Suppose 5*d = -8 + q. Suppose x - 221 = -d*c, -113 = -5*c + 4*x + 128. What is the remainder when c is divided by 24?
21
Let n(p) = -5*p**2 + 64*p + 501. Calculate the remainder when 3859 is divided by n(18).
31
Let c(f) = -3*f**2 + 19*f + 76. Let w be c(-7). Let z = w - -232. What is the remainder when 334 is divided by z?
26
Let b = 192 - 105. Let r = b + -40. Calculate the remainder when 467 is divided by r.
44
Suppose -4*d = k - 77, 0*k - 2*k + 2 = 0. Suppose -19 = -3*y - 5*b, -2*y + 0*y + d = -3*b. Suppose 31 + y = 3*h. What is the remainder when 22 is divided by h?
9
What is the remainder when 283 is divided by (32/5)/((-24)/(-450))?
43
Suppose -10*i - 216 = -v - 7*i, 5*v - 1128 = -i. Calculate the remainder when 168 is divided by v/4 - (-15)/20.
54
Let w = 36 - 49. Let c = w + -6. Let h(b) = -b**3 - 18*b**2 + 18*b - 2. Calculate the remainder when 30 is divided by h(c).
13
Let g(w) = -35*w + 3. Let i = 1980 - 1394. Let j = i - 541. What is the remainder when g(-5) is divided by j?
43
Let g = -2607 - -3064. Calculate the remainder when g is divided by 152.
1
Let k = 127 - -28. Suppose -12*f = -4*p - 15*f + 188, 5*f + 40 = 0. Calculate the remainder when k is divided by p.
49
Suppose 13*p + 15*p - 4 = 29*p. Let o = 49 - 19. Let m = o - p. Calculate the remainder when m is divided by 21.
13
Calculate the remainder when 676 is divided by (-3570)/(-51) + (-3 - 8).
27
Suppose -p = -2*p + 5*f - 9, -2*p - 2 = -2*f. What is the remainder when 205 is divided by (45/(-4))/(((-6)/16)/p)?
25
Let k be 5*(-4)/(-10)*193. Let z = -356 + k. What is the remainder when z is divided by 8?
6
Suppose 298 = -8*z + 24*z - 6. What is the remainder when 2046 is divided by z?
13
Let d be 193 - (16/6)/(8/(-12)). Suppose 4*j = -57 + d. What is the remainder when 206 is divided by j?
31
Suppose -3*n - 1314 = 15*n. Let v = 146 + n. Calculate the remainder when v is divided by 13.
8
Let x be 12/((-9016)/(-4496) - 2). Calculate the remainder when (2 - x/(-20)) + 12/(-30) is divided by 59.
55
Let l = -254 + 266. Calculate the remainder when 64 is divided by 21/((27/l)/((-27)/(-18))).
8
Suppose -12*a + 26*a - 770 = 0. Let l = a + -50. What is the remainder when 6 is divided by l?
1
Suppose 0 = -2*j - 3*j + 50. Suppose 0 = -33*y + 44*y - 198. Suppose -10*d = -y*d + 216. What is the remainder when d is divided by j?
7
Suppose 5*y = q - 426 - 182, -4*y - 16 = 0. Suppose -42 + q = 13*i. Calculate the remainder when 141 is divided by | {
"pile_set_name": "DM Mathematics"
} |
*p - 1 + 1 + (-2 + 4 - 3)*(-3*p + 3*p - 2*p))*(530 - 37*p**3 - 530).
-143*p**4
Expand 2*d - d - 3*d + (-18 - 95 - 29)*(-d - 3*d - d) - 4*d + 5*d + d + (d + 3*d - 2*d)*(-1 - 3 + 1).
704*d
Expand 0*m**2 + 0*m**2 - m**5 + 68*m + 5*m**5 - 68*m + (-3 - 2*m + 3)*(m**2 - 9*m**4 - m**2).
22*m**5
Expand (4 - 4 + d**2)*(2 - 17 + 9)*(0 + 2 + 1)*(-70 - 23 - 12)*(0 + 1 - 2).
-1890*d**2
Expand (-3*x**3 - x**3 - 5*x**3)*(5 - 6 - 2 + 4)*(x + 6*x + 3*x).
-90*x**4
Expand (0*m + 3*m + m)*(2*m - 3 + 3) + (m - m + 2*m)*(-2*m - 2 + 2) + (m - m + 2*m)*(-3*m + m + 3*m).
6*m**2
Expand 3*r**2 - 5 + 5 - 6*r**2 + 4*r**2 - 5*r**2 + (-2*r + 0*r - r)*(0*r - r + 2*r) + 2*r**2 - 5*r**2 + 0*r**2 + (1 + 2*r - 1)*(10 - 3*r - 10).
-16*r**2
Expand b**4 - 3*b**4 - 2*b**4 + (0*b**3 + 2*b**3 + 4*b**3)*(2*b + 3*b - 7*b)*(45 - 75 + 46).
-196*b**4
Expand (-4 + 4 + 2*z**2)*(-z + 14*z - 8*z) - 119*z**3 + 33*z**3 - 64*z**3.
-140*z**3
Expand (9*u - 12*u + 7*u)*(5*u**2 + 5*u + 10*u**2 - 13*u**2).
8*u**3 + 20*u**2
Expand (13 - 6 - 153)*(-4*v**3 + 0*v**3 + 2*v**3)*(4*v - 3*v + 5*v).
1752*v**4
Expand -2*m**2 - m + m + (-2*m + m - 4*m)*(722*m - 356*m + 476*m + 3 - 3 + 2*m + (0 - 2 + 0)*(1 - 2*m - 1)).
-4242*m**2
Expand (-2*y - 4 + 4)*(-14 + 14 + 24*y + (1 - 5 + 2)*(-2*y - 2*y + 6*y) + 0 + 2*y + 0 + y - 12 + 8 + 0).
-46*y**2 + 8*y
Expand 20*p + 13*p - 30*p - 5*p**2 + (1 + 1 + 0)*(-p**2 + 2*p**2 - 3*p**2) + 0*p**2 + 0*p**2 + 2*p**2 + (2*p - 2*p + 2*p**2)*(1 - 3 + 6).
p**2 + 3*p
Expand -92*j**5 + 105*j**2 - 216*j**2 + 114*j**2 + (2 + 2 - 2)*(5*j**5 + 4*j**3 - 4*j**3).
-82*j**5 + 3*j**2
Expand (2*u**2 - u**2 - 2*u**2)*(-12*u**2 - 11*u**2 + 20*u**2)*(-3*u + u - 7*u).
-27*u**5
Expand (-5*h**2 + 7*h**2 + 2*h**2)*(-198 - 31 - 275).
-2016*h**2
Expand (-m - m + 3*m)*(38053 + 45550 - 11766 + 335 + 272).
72444*m
Expand (1 + 0 + 0)*(3*z - 2 + 2)*(-3 + 4 + 1 + (1 - 1 + 2)*(0 + 1 + 0) - 133 - 266 + 54).
-1023*z
Expand (-69*x**3 + 106*x**3 + 84*x**3)*(-3 + 0 + 1)*(1 + 3 + 2).
-1452*x**3
Expand (2736*z - 2679*z + 4*z**2 - 23*z**2)*(-1 + 1 - z**2).
19*z**4 - 57*z**3
Expand (-2 + 2 + 2*d)*(-3283 + 844 + 14*d + 1480).
28*d**2 - 1918*d
Expand -128*t + 14*t - 72*t + (0*t + t + t)*(-1 + 2 + 0) + 0*t - 3*t + 2*t + (-3*t + 1 - 2*t + 3*t)*(0 + 1 + 1) - 6*t + t + 2*t.
-192*t + 2
Expand -l - 2*l**3 + 3*l**3 + 0*l**3 + 4*l**3 + 9*l**3 - l**3 + (-2 + 1 - 2)*(39*l**2 + 12*l**3 - 39*l**2).
-23*l**3 - l
Expand (1 + 2*w**2 - 1 + (2*w - w + 0*w)*(3*w + 2 + w - 5*w))*(-41 - 22 - 11).
-74*w**2 - 148*w
Expand (2131*g**4 + 2640*g**4 - 602*g**4)*(-3 + 2 - 1).
-8338*g**4
Expand -8*s**4 + 10*s**5 + 8*s**4 + s**5 + 2*s**5 - 2*s**5 - 3*s**5 - s**5 + 6*s**5 + (-s**4 - 3*s + 3*s)*(-3*s + 4*s + 0*s) - 15*s**5 - 4*s**5 - s**5.
-8*s**5
Expand (395 - 64 + 153)*(8*y + 9*y + 2*y).
9196*y
Expand (49*r - 6*r + 213*r - 8*r)*(9*r + 4*r - r).
2976*r**2
Expand (1 + 2*b**2 - 1 + (2*b + b - b)*(-3 - 2*b + 3) + (2*b - 2*b - b)*(-12*b - 16*b - 2*b))*(2*b**2 + 23*b**2 - 5*b**2).
560*b**4
Expand (133*y + 173*y - 349*y)*(-4*y**3 + 4*y**3 + y**4 + (1 - 1 + y)*(-y**3 + y**3 - 2*y**3) - 4*y**3 + 3*y**4 + 4*y**3).
-86*y**5
Expand (-2*q**3 - 2*q**3 + 0*q**3)*(-89*q**2 - 21*q**2 + 19*q**2).
364*q**5
Expand -121 + 121 + 32*p - 1 + 1 - 2*p + (2*p - 2*p - 2*p)*(3 + 0 - 5) - 1 - 3*p + 1 + 0*p + 6*p - 3*p.
34*p
Expand i**2 - 2*i**2 - 15*i**2 + (-4*i + 4*i + 2*i)*(3 - 3 + i) + (25*i + 18*i - 11*i)*(5*i - 2*i - 5*i).
-78*i**2
Expand (0*j + 2*j - 4*j)*(-36*j - 39*j + 18*j) - j**2 + 9*j**2 + 13*j**2.
135*j**2
Expand (-2*c - 2*c + 2*c)*(58 + 709 + 1738 - 286).
-4438*c
Expand (w + 1 - 1)*(5 + 0 - 3) + 102*w + 107 - 308 - 111*w.
-7*w - 201
Expand -112*j - 16*j + 41*j + (0 - 2 + 3)*(-2*j + j + 3*j) - 2 - 3*j + 2 - j + 0*j + 0*j - 4*j.
-93*j
Expand (-y + 3 - 3)*(-645 + 146 - 30*y + 31*y).
-y**2 + 499*y
Expand (-4*l + 6*l + 9*l)*(l**4 + 3*l**4 + 0*l**4) - 95*l**5 - 313*l**5 + 57*l**5.
-307*l**5
Expand -320*l**3 - 59655*l**2 + 59655*l**2 + (-25*l**2 + 11*l**2 - 25*l**2)*(l + 0*l - 3 + 1).
-359*l**3 + 78*l**2
Expand (3 + z**2 - 3)*(-54 - 8*z + 54) + (379 - 7*z + z - 375)*(4*z**2 - 4*z**2 - 2*z**2).
4*z**3 - 8*z**2
Expand (4*h - 4*h - h + (4*h - 6*h + 0*h)*(-2 + 0 + 3) + 163*h - 293*h + 153*h + 4)*((19 - 19 + 6*h)*(-2 + 2 + 4) + 5*h - 4*h - 4*h).
420*h**2 + 84*h
Expand (2*n + 2*n - 2*n)*(1150 - 1355 + 723)*(1 - 1 + 1).
1036*n
Expand (d - d - d)*(8 - 4 + 2)*(4 + 0 - 3)*(-3 + 7 - 2)*(-4*d - 3 - 9 + 6).
48*d**2 + 72*d
Expand (-7*r**2 + 2*r**2 + 2*r**2)*(-9211 + 9211 - 59*r) + 0*r**2 + r**2 - 4*r**3 + 7*r**3.
180*r**3 + r**2
Expand (-86*t**2 + 13*t**3 + 86*t**2)*(0*t + 0*t + t**2) + 4*t**5 + 0*t**5 - 2*t**5 - 320 + 320 + 14*t**5.
29*t**5
Expand (-r**2 + r**2 + 2*r**2)*(-599*r - 435*r + 101*r) + (-3*r + r + 4*r)*(2*r**2 + 5*r - 5*r) + 0 - 2*r**3 + 0 + 2*r**3 - 2*r**3 - 3*r**3 + 10*r**3 - 25 + 25.
-1857*r**3
Expand (0 + 0 + 1)*(-3 + 2*d + 3)*(459*d**2 - 2057 - 2*d**3 - 253*d**2 + 2014).
-4*d**4 + 412*d**3 - 86*d
Expand (-2*w + w + 3*w)*(-2 - 2 + 2) + (2 - 2 + 1)*(2*w - 5*w + w) + (0 + 3 - 1)*(-65 + 65 + 12*w) - w + 3 - 3 + 0*w + 5*w + 5*w + (w - 2*w + 0*w)*(0 + 1 + 0).
26*w
Expand 20*m - 13*m + 7*m + (-3 + 3 + 2*m)*(-3 + 5 + 0) + 2 - m - 2 - 45*m + 26*m + 34*m.
32*m
Expand (0*d - d**2 + 0*d)*(-4 - 4 - 2) + (-8*d + 4*d - 3*d)*(2 + 6*d - 2).
-32*d**2
Expand (2*s + 1 - 1 + (3 - 3 + 2*s)*(3 - 6 + 1) + 2*s - s - 3*s - 7*s - 3 + 1 + 15*s)*(-3 + 7 - 2)*(-6*s**3 + 6*s**3 - 7*s**3).
-56*s**4 + 28*s**3
Expand (0*h**2 + 4*h**2 - 2*h**2)*(-6*h - 5*h - 37*h)*(5*h - 3*h + 2*h).
-384*h**4
Expand i**2 - 2 + 2 + (3*i - 3*i - 2*i)*(-3 + 2*i + 3) - 13*i**2 - 12*i**2 + 37*i**2 + (-i - 3*i + 2*i)*(-4*i - i - 3*i) + 2*i**2 + 2*i**2 - 7*i**2.
22*i**2
Expand (0*t - 3*t + 0*t)*(2 + 3 + 0 + (0 + 4 - 2)*(-3 + 4 + 1) + 16 - 23 - 20).
54*t
Expand (17 - 9 - 10 + 11*a)*(22 + 21 + 26 - 25).
484*a - 88
Expand (2*j - 6*j + j)*(-j**2 + 0*j**2 + 0*j**2) + (-1 + j**2 + 1)*(-j + 5*j - 3*j) - j**3 - 3*j**3 + 2*j**3 - 466*j**3 - 108*j**3 + 987*j**3.
415*j**3
Expand (7*l + 7*l + l)*(-15*l - 27 + 268 + 39*l - 109).
360*l**2 + 1980*l
Expand (-6038 - 6033 + 12072 + 261*y)*(13 - 12 + 5)*(2*y**2 - y + y).
3132*y**3 + 12*y**2
Expand -1197*a**3 + 1893*a**3 - 1462*a**3 + (-1 + 1 - 3*a**2)*(-4*a + 3*a - 3*a).
-754*a**3
Expand (a**3 - 2*a + 2*a)*(-1 + 2 - 9*a**2 - 2) + (a**3 + 2 - 2)*(-6*a**2 - 5*a**2 - 23*a**2) - a**5 + 2*a**5 - 3*a**5 + (a - a - a)*(0*a**3 - 2*a**4 + 0*a**3).
-43*a**5 - a**3
Expand (-217 - 49 + 95)*(3 - 2*s**2 - 30*s + 30*s).
342*s**2 - 513
Expand (-2*s - 4*s + 4*s)*(-1072 + 3419 + 7853 - 987 + 244).
-18914*s
Expand (16*k + 21*k + 3 - 45*k)*(-3*k**4 + 5*k**4 + 2*k**4 + (-2*k + k + 0*k)*(-k + k + 2*k**3)).
-16*k**5 + 6*k**4
Expand 191*s**2 - 32596 + 32596 + (-3 - 2 + 4)*(-6 + 3*s**2 + 6).
188*s**2
Expand (0 - c + 0)*(2 - 2 + 3*c) - 2*c**2 + 3*c**2 + 11*c**2 + 9*c + 5*c**2 - 9*c.
14*c**2
Expand (2*m**3 - 344*m**2 + 21635 - 43264 + 21631)*(3*m**2 + 0*m**2 - 4*m**2).
-2*m**5 + 344*m**4 - 2*m**2
Expand (g**2 - 6*g**2 + 2*g**2)*(3 + 28 + 33 - g).
3*g**3 - 192*g**2
Expand (-323 + 26*y + 323)*(-21*y**4 - 260*y**2 + 260*y**2) + y**5 - 3*y**5 - 12 + 12.
-548*y**5
Expand ((0*c + 12*c - c)*(3*c + 2*c - 3*c)*(1 - 1 - 3*c) - 2*c**3 + 3*c**3 - 3*c**3)*(-2*c - 9 - c + c).
136*c**4 + 612*c**3
Expand -23*k - 12*k + 13*k + (2*k - k + 0*k)*(4 + 0 - 3) - 4 + 446*k - 1 - 454*k.
-29*k - 5
Expand (4 + 0 - 2)*(a + 7*a - 2*a + (315*a + 303*a + 237*a)*(-4 + 1 + 1)).
-3408*a
Expand (3 + 2*g - 3 + (-2 - 1 + 4)*(2*g + 4*g - 4*g))*(8508 - 4691 - 4189).
-1488*g
Expand (72*x**2 - 738 + 738)*(7*x - x - 5*x + (-3*x - x + 3*x)*(0 - 4 + 3) - 1 - 2*x + 1 + x - 3*x + 0*x - 3 + 2*x + 3 + 2 - 2*x - 2).
-144*x**3
Expand 56*i**2 + 47 - 47 - i**2 - 4*i**2 + 4*i**2 + (-4 + 2*i + 4)*(2*i - 2 + 2) + i**2 + 0*i**2 + i**2 + (-1 + 1 + 2*i)*(2 - 2 + 2*i).
65*i**2
Expand (-m + 7*m + 1 + 0)*(-116*m - 109*m + 49 + 227*m).
12*m**2 + 296*m + 49
Expand (-6*o + 1 + 10*o + 6*o)*(595*o**3 + 7*o**2 - 4*o**2 - 602*o**3).
-70*o**4 + 23*o**3 + 3*o**2
Expand (-y - 2*y + 5*y)*(12 - 12 - 5*y) - 10*y**2 - 10*y**2 - 8*y**2.
-38*y**2
Expand (606*f**2 - 220*f**2 - 250*f**2)*(2 + f - 2 + (3*f - 3*f - 2*f)*(6 - 1 - 2)).
-680*f**3
Expand (-6*p + 18*p - 12*p - 316*p**2 + 2*p)*(6*p + 0 + 0).
-1896*p**3 + 12*p**2
Expand (-568*x**2 + 443*x**2 + 1700*x**2)*(-2 + 4 - 5)*(0 - 4*x + 1 + 7*x) + ( | {
"pile_set_name": "DM Mathematics"
} |
a) f (b) 2/11 (c) -2/15 (d) 1
b
Let n = -2437 + 2441. Which is the smallest value? (a) 16 (b) -4 (c) n (d) 5
b
Let q = -12 - -11. Let u = q + -1. Let d be (1/15)/((-4)/80*6). Which is the third biggest value? (a) 2/3 (b) d (c) u
c
Let r = 6982 + -7562. What is the biggest value in r, -1/2, 2?
2
Let p = 744 - 744.3. Let m = -41.4 - -42. What is the biggest value in 1/3, p, m?
m
Let i = 14.26 + -15.26. Which is the fourth biggest value? (a) i (b) 2 (c) -2/9 (d) -0.06
a
Suppose x - 173 = j, 0 = -5*j + x - 4*x - 889. Let w be 52/j + 23/(-92). Let l = -3 - -5. Which is the second smallest value? (a) -0.4 (b) 3 (c) w (d) l
a
Let u = -4.45 - -1.45. Let s be 1/(-5)*(0 - -2). Let r be 483/(-115) - (-1 + 0 + -3). What is the second smallest value in r, u, -4, s?
u
Let w = 0.565 - 0.465. Which is the biggest value? (a) w (b) 1 (c) -2/15 (d) -0.29
b
Let s = 13896 + -13892. Which is the second biggest value? (a) s (b) 2/3 (c) 1409 (d) -3
a
Let r = 10.4 - 49.4. Let p = -44.6 - r. Let g = -5.9 - p. What is the second smallest value in g, 1, 4, -1?
g
Let a = -8869 + 8870.219. What is the third biggest value in -5, -2, 0.1, -1/9, a?
-1/9
Let j be (3/(-5))/(33/(-22)). Let y = -3/2 + -1/6. What is the third smallest value in 5, y, 3, j?
3
Let h = 217 - 437. Let j = h - -217. Which is the biggest value? (a) -0.2 (b) 1/5 (c) j (d) -0.1
b
Let s = 0.7854 - 0.2854. Let i be (-8)/12 + 8/10. Which is the smallest value? (a) i (b) s (c) -0.31
c
Let o = 14 + 9. Let r(v) = v**3 - 10*v**2 + 10*v + 9. Let u be r(9). Let p = o - u. Which is the smallest value? (a) 1/5 (b) p (c) 1
a
Let t = -2.4 + 2.7. Let p = -3.6 + 3.1. Let i = p + 1. What is the biggest value in i, t, 8?
8
Let a = 1336.7 - 1336.6. Let t = 4.3 + -5. Let b = t + 0.4. What is the second biggest value in b, -22, a?
b
Let w = 130 + -1037/8. Let r = 33.8 - 28.8. Which is the smallest value? (a) 2/3 (b) r (c) w (d) -11
d
Let v = 0.2 - 0.4. Let x = -394.95 - -395.25. What is the smallest value in x, v, -0.13?
v
Let u = -4.53 - -4. Let d = u - -5.53. Let y be 19/30 - (-4)/(-30). Which is the second biggest value? (a) -2/9 (b) d (c) y
c
Let f = -71.7628 + -12.3662. Let k = f + 84. Let j = k + -0.071. Which is the third smallest value? (a) -2/7 (b) 4 (c) j
b
Let r be (10131/23639)/(4/(-154)*-3). Let k = 3 - 0. Which is the third biggest value? (a) r (b) 1/2 (c) k
b
Let v = -97 + 104. Let t be (1 - v)/(9/(-6)). Let i be (-2)/(-3) - (-13)/(-15). Which is the second biggest value? (a) 1/5 (b) i (c) t
a
Let l = -0.08 + -97.92. Let z = l + 98. What is the second biggest value in z, -0.13, -4?
-0.13
Suppose -12*f + 15*f = 45. Let g be 6/(-8)*(-40)/f. What is the third smallest value in -2/3, -3, 0.03, g?
0.03
Let y be -5 + (-6)/(-9) + (-1 - -4). Let f = -0.1 + -0.1. What is the fourth biggest value in -0.02, y, f, 0.3?
y
Let w = 3.777 - -0.323. Let m = -94.7 + 99. Let s = w - m. Which is the third biggest value? (a) -6/5 (b) s (c) -0.4 (d) -0.1
c
Let t = 3.9507 - 0.9507. Let m = -3 + 5. What is the fourth smallest value in 3/7, 1/3, m, t?
t
Let k = 21.9776 + 0.0224. What is the third smallest value in -4/5, k, -5/6?
k
Let z = 5.2 + -0.2. Suppose d + t - 6*t = 31, -3*d - 3*t + 111 = 0. Let r = -32 + d. What is the third biggest value in r, z, 11/3?
11/3
Suppose 0*d - a = -3*d - 27, 4*a - 18 = 2*d. Let q be 2 - (2 - 6 - d). What is the second biggest value in q, -4/7, -3/7, 0.1?
-3/7
Let m be ((17 + -8)/(-18))/(-1). Let v = -1/4 + m. Which is the fourth biggest value? (a) 1/3 (b) v (c) 4 (d) 1
b
Let o be 105/(-134) + 0 - (-18 + 1120/64). Which is the smallest value? (a) -2/3 (b) o (c) -2/19
a
Let m = 343/605 + 4/121. Let n = 99 + -97. What is the smallest value in n, m, 21?
m
Let s = 785.6641 + 0.9359. Let i = s - 793. What is the third biggest value in -2, i, -0.3?
i
Suppose -5*d = -3*n + 16, d + 6 = -9*n - 26. Let z = -67 - -67.132. Which is the third biggest value? (a) z (b) d (c) 0.2
b
Let v be -2*(-15)/(-10) + -3. Let m be (1/v)/((-26)/78). Which is the third biggest value? (a) 0.022 (b) 0.1 (c) m
a
Let a = 533 + -312. Let c = a - 220.7. What is the second smallest value in -12, c, 3?
c
Let u = 35.62 + -32.62. Which is the second biggest value? (a) 0.0429 (b) u (c) -0.3
a
Let z = -0.522 + -132.478. Let y = 130 + z. Let q = -0.5 - -0.8. Which is the fourth smallest value? (a) y (b) 2/3 (c) q (d) 2/19
b
Let h = 11.8 + -15.8. Let n be ((-2)/44)/((-1)/6). Let z = 53.4 + -54.4. Which is the biggest value? (a) z (b) n (c) h
b
Let h = -2 - -1.1. Let w = h + 0.8. Let m = -10343/6896 - 1/6896. Which is the second smallest value? (a) 0.01 (b) 0.3 (c) m (d) w
d
Let u = -36001/66 + 25/22. Let x = u - -545. Let h = 4 + -4.4. Which is the biggest value? (a) x (b) h (c) 2 (d) -0.7
c
Let l = -2648.5 - -2168. Let h = 481 + l. Which is the second biggest value? (a) h (b) -2 (c) 343
a
Let m = 1062 + -1065. Which is the biggest value? (a) 150 (b) m (c) -7 (d) 5/2
a
Let s = -9190 + 9178. Which is the second smallest value? (a) -2/23 (b) 0.5 (c) s
a
Let n be (-143 - 4)*(-1)/(-3). Let z = -244/5 - n. Let s = -30 - -31. Which is the fourth smallest value? (a) -4 (b) -3/7 (c) z (d) s
d
Suppose n - 2323 = 3*q, 17*n = 8*q + 22*n + 6164. What is the second smallest value in q, -2/15, 3?
-2/15
Let n be (-2)/(10/15) + 8 + 1. Suppose 379*g + 8 = 375*g. Which is the second smallest value? (a) g (b) n (c) -2/3
c
Let t = 739 + -215. Let x = t + -522. What is the fourth biggest value in -2/31, x, 0.06, -0.3?
-0.3
Let i = 3456 - 3454.2. What is the biggest value in 0, 2, i?
2
Let p = -3800 - -3815. Which is the fourth biggest value? (a) p (b) -0.3 (c) -31 (d) -1 (e) -2
e
Let r = -99 + 103. Let y(o) = o**2 + 14*o + 10. Let w be y(-13). Let s be 2/w - 14/(-210). Which is the biggest value? (a) s (b) r (c) -1
b
Let p = -6.353 - -24.353. What is the third biggest value in -5, 0.04, -2, 3, p?
0.04
Let t = -6454 - -6458. What is the smallest value in t, -2/11, 2/571, -2?
-2
Let g = -0.0298 - -2.2858. Let p = g - -0.044. Let m = 2.6 - p. What is the third smallest value in -5/2, m, 0.4?
0.4
Let g(j) = -j**3 + 30*j**2 - 32*j - 23. Let s be g(29). Let x = 114 + s. Let o = -0.36 + -0.04. Which is the third smallest value? (a) -2 (b) x (c) o (d) 2
d
Let o = -41.16 + 14.16. What is the third biggest value in o, 4/7, -0.4, 0.5?
-0.4
Let j = 2698 + -2697.5. Which is the fifth smallest value? (a) -0.22 (b) -5/2 (c) j (d) -0.5 (e) 2/5
c
Let j = -831 - -878. Let y = 0.088 + -64.088. Let o = y + j. Which is the fourth smallest value? (a) 5 (b) 2 (c) 2/17 (d) o
a
Let j = -98.9631 + -0.0369. Let q = -103 - j. What is the second biggest value in -5, -2/103, q?
q
Let n be (-140 - -133)/(-2 - -1) + (-129)/14. Which is the smallest value? (a) 1 (b) n (c) 0.04
b
Let n = -1424 + 1429. Let h = 250 - 285. Which is the third smallest value? (a) h (b) n (c) -5 (d) 3
d
Suppose 12 = -3*u - u. Let m be -8 - (-444)/(-27)*(-6)/12. Which is the second smallest value? (a) m (b) 2 (c) u (d) -0.5
d
Let q = -427 - -5549/13. Let d = 264 + -788/3. Which is the smallest value? (a) d (b) q (c) 32
b
Let p = -3.7685 - -3.9685. Let t = 2329/13 - 179. What is the third smallest value in p, -0.5, t, 69?
p
Let k = 5.4385 + -0.4385. What is the third biggest value in -0.5, -0.013, k?
-0.5
Let k = 5 - -12. Let h = 16.95 - k. Let w = h - 0.45. What is the second biggest value in w, 1, 1/4?
1/4
Suppose -5*z + 6 = -0*g + 4*g, 2*g - 5*z + 12 = 0. Let y = -13.909 - -14.209. What is the fourth smallest value in g, y, -3/4, -1/2?
y
Let y = 16219.9 + -16220. Let p = 16 + -15.99. Which is the third smallest value? (a) y (b) p (c) 1.7
c
Let g = -25240.9623 - -25241. Which is the third smallest value? (a) g (b) -7 (c) -2/5
a
Let t(g) be the third derivative of 17*g**4/24 - 49*g**3/2 - 9*g**2. Let n be t(9). What is the second smallest value in n, -4/3, 0.04?
0.04
Let k = 2.45 - -0.55. What is the third biggest value in 2, 2/391, k?
2/391
Suppose 375 = 2*a + y - 6*y, 2*y = -a + 165. Let k be 56/9 - (-6)/(-27). Let v be ((-30)/a)/(k/(-20)). What is the biggest value in v, -2, 22?
22
Let x = 825 - 6611/8. Let f = x - -37/24. What is the smallest value in -3, -3/8, f?
-3
Le | {
"pile_set_name": "DM Mathematics"
} |
ive r.
131
Express -4*i**2 + i**4 - 47868*i**3 - i + 47865*i**3 - 2 + 2 in the form c*i + a*i**4 + x + j*i**2 + t*i**3 and give t.
-3
Express -155 + 42 + 35 + 37 + 33 - 80*q in the form m + a*q and give m.
-8
Express 1582*z**4 + 1 + 1340*z**4 - z - 2493*z**4 as x*z + j*z**4 + p*z**3 + k + y*z**2 and give k.
1
Rearrange (4*l - 5*l - 3*l)*(-27*l**2 + 96 - 96) + (-l**2 - 5*l**2 + 4*l**2)*(0*l - 3*l + 5*l) to the form f*l**3 + r*l + s + q*l**2 and give q.
0
Express z + z**4 - 2*z**2 - 2*z**3 + 135 - 136 - 4*z**3 as f*z**4 + s*z + j + u*z**3 + p*z**2 and give s.
1
Rearrange -21 - 332*k**2 + k**3 + 114*k**2 - 2*k + 109*k**2 + 113*k**2 - 3*k**3 to p*k**2 + s*k**3 + g*k + o and give s.
-2
Express 1556*t**3 + 23*t - 1555*t**3 + t + 8*t + 2 as i*t**2 + r + y*t + l*t**3 and give l.
1
Express (-2*o + 4 - 4)*(315 - 11 + 545) as m + c*o and give c.
-1698
Express 110*b + 37 - 37 + 13*b as t + f*b and give f.
123
Rearrange (-j - j + 0*j)*(7*j**2 - 11*j**2 + j**2) + (2*j - j + j)*(2*j**2 - j**2 + 0*j**2) + 0 - j**3 + 0 to o*j + z*j**3 + p + k*j**2 and give z.
7
Express (3*u + 10*u + 13*u)*(2*u - 2*u + 4*u**2) + 0*u**3 + 0*u**3 - u**3 as h + l*u**2 + q*u + n*u**3 and give n.
103
Rearrange -14*j**3 - 1 - 174*j**2 + 4 + 15*j**3 to l*j + x + s*j**3 + t*j**2 and give t.
-174
Rearrange (7 + 2 + 4)*((1 + 3 - 7 + (-1 - 2 + 2)*(4 + 0 - 3))*(2 - 2 + b) + (-b - b + 0*b)*(0 - 3 + 4)) to s*b + y and give s.
-78
Rearrange (5 - 3 + 3)*(-90*h**2 + 17011*h - 17011*h) to i*h**2 + k + b*h and give i.
-450
Express 474*n**3 - 469*n**3 + 7*n**2 + 3 + 18*n**2 in the form r + d*n**3 + h*n**2 + c*n and give r.
3
Express -171*c + 197 - 197 as z + q*c and give q.
-171
Rearrange 0*d**3 - 2*d**3 + 3*d**3 + (1 - 1 - 1)*(-7*d**3 + 26*d**3 + 240*d**3) to the form q*d + p*d**2 + f + t*d**3 and give t.
-258
Express (-y**2 - 3*y + 3*y)*(0 + 0 + 2*y) - 2*y - y**3 - 2 + 9058*y**2 - 9058*y**2 in the form c*y + p*y**3 + x*y**2 + h and give h.
-2
Rearrange 5 - 2*b - 12*b**3 + 0*b**3 + 17*b**3 - 3*b**3 + 6*b**2 to k*b**2 + x + n*b + d*b**3 and give d.
2
Rearrange 1 - 2*k - 209*k**3 + 109*k**3 + 17*k**3 - 180*k**3 to d*k**2 + y*k**3 + h + n*k and give n.
-2
Rearrange (0*z**4 - 5*z**4 + 3*z**4)*(237 - 189 + 620) to a*z**4 + i*z**2 + w*z + u + m*z**3 and give a.
-1336
Rearrange 22*w**2 + 81 - 81 to the form l + t*w**2 + c*w and give t.
22
Express 3*r**4 - 2*r**2 + 7*r**3 - 1006*r + 3*r**2 + 1010*r in the form x*r + g + z*r**2 + m*r**3 + j*r**4 and give m.
7
Express (0 + 2 - 4)*(105*n + 56851 + 16*n - 56861) in the form q + y*n and give q.
20
Rearrange -13*w**2 + 17*w**3 + 8*w**2 + w - 31*w**4 - 9*w**3 + 7*w**2 - 7*w**3 to x*w**3 + k*w**4 + p*w + i*w**2 + s and give x.
1
Rearrange -55*f - 18*f + 5*f to b*f + u and give b.
-68
Rearrange -20*v - 11*v + 61 + 4 + 30*v to the form z + h*v and give h.
-1
Rearrange -18*g**3 - 26*g**3 + 4*g - g**4 + 47*g**3 + 2 to the form z*g**3 + a + c*g**4 + q*g**2 + x*g and give z.
3
Rearrange 1 + 89*q - 43*q + 2*q**2 - 49*q to the form w*q + i*q**2 + h and give i.
2
Express m - 2*m**4 + 2*m**3 + 142 + 77 - 243 as p*m**3 + h + q*m**2 + t*m + a*m**4 and give h.
-24
Rearrange l**3 + 0 + 38 + 25 + l**2 + 6 - 10 to the form r*l + c*l**3 + k + z*l**2 and give k.
59
Express (-h**2 - 2*h + 4*h - 3*h)*(4 - 26087*h - 2 + 26288*h) as l*h**2 + a*h**3 + m + v*h and give l.
-203
Express -61*u + 114*u - 55*u - 2 - 120*u**4 as k*u + l + y*u**3 + x*u**2 + t*u**4 and give l.
-2
Rearrange (-4 + 4 - w**2)*(-5 + 5 - 3*w - w + 3*w + w + (w + w - w)*(1 + 5 - 4)) to b + p*w + x*w**2 + t*w**3 and give t.
-2
Rearrange 2*c + 3*c - 3*c + (-1 + 1 + 3)*(-5*c + 8*c + c + (0 + 2 + 0)*(5*c - 3*c - c) - 2 + 2 + 2*c) to n + y*c and give y.
26
Rearrange 108 - 56 - 52 + 167*m to g*m + v and give g.
167
Express 41 - 486*c - 122 + 44 + 37 in the form t + w*c and give w.
-486
Express -4398*f + 19 + 4398*f + 5*f**4 + 3*f**3 in the form g*f + r*f**3 + z + y*f**2 + b*f**4 and give r.
3
Rearrange (11*o - 13*o - 22*o)*(12 - 12 - 7*o) to the form m*o**2 + j*o + v and give m.
168
Rearrange -32*t - 579*t**3 - 25*t + 581*t**3 to u + k*t**3 + m*t**2 + w*t and give w.
-57
Express 302*v**2 + 1 + 2 - 271*v**2 + 1076*v**2 - 1 in the form l*v + c*v**2 + j and give c.
1107
Express ((1 + 2 + 1)*(21 - 15 + 23) + 0 + 0 + 2)*(-n + n + 2*n**3) in the form t*n**2 + w*n + m + c*n**3 and give c.
236
Rearrange j**3 - 655 + 1317 + 2*j**4 - 662 + j to the form c*j**2 + a*j + i*j**4 + y*j**3 + l and give a.
1
Express (1 - 2 - 2)*(-57 + 20 + 25)*(0*p + 4*p - 5*p - p - p + 4*p + (-6*p + 2*p + 2*p)*(1 + 1 - 4) - p + 0*p + 2*p + 4*p - 1 + 1) as z + j*p and give j.
360
Express -3*u**4 + 2*u**3 - 6*u**4 - 159*u**2 + 11*u**4 + 0*u**3 in the form k*u**3 + s*u + h*u**2 + p*u**4 + a and give h.
-159
Rearrange -50*n**2 - 22*n**2 + 18*n**2 + 8 - 25*n**2 - 9 to j*n + z*n**2 + b and give b.
-1
Express t**3 - 5 - 3 + 10 + 3*t - 16 in the form w + j*t**2 + r*t + k*t**3 and give k.
1
Rearrange ((4 - 5 + 3)*(-1 - 1 + 4) - 4 + 2 + 4)*(-134*r**2 + 1200*r - 1200*r) to m*r**2 + n*r + i and give m.
-804
Rearrange 3*a + 9*a - 8*a - 5*a + 15 to the form n + g*a and give n.
15
Express 4*h + 3*h**3 - 4*h + 2 - h + 59*h**3 as m*h**2 + x*h**3 + y + q*h and give q.
-1
Rearrange 3*s - 19*s - 201*s to f + k*s and give k.
-217
Rearrange (-3*c + 2*c + 4*c)*(0*c + 3*c + 2*c + (2 + 1 - 2)*(-3*c + 5*c - c) + 841*c - 2198*c + 871*c) to the form l*c**2 + d + g*c and give l.
-1440
Express (1 - b - 1)*(-168 + 174 + 159)*(-3*b + 2 - 2) as d*b**2 + v + q*b and give d.
495
Express -13*y**4 - 6*y + 0*y**2 - y**2 + 11*y + 4 - 6 - y**2 as n*y + t + p*y**4 + v*y**2 + c*y**3 and give n.
5
Express 15*l + 9*l - 25*l + 106*l**2 in the form m*l + v + f*l**2 and give m.
-1
Rearrange -s + 30 + 0*s**2 - s**3 - 7*s**4 + 5*s**4 + 3*s**3 + 0*s**2 to the form w*s**4 + u*s**3 + q*s + z*s**2 + j and give j.
30
Express 14*k**4 - 2143*k**3 + k**4 + 2144*k**3 + 4*k**2 as n + f*k**2 + s*k + q*k**3 + v*k**4 and give f.
4
Express -5*f + 42*f - 3*f**4 - 22*f + 5*f**4 + 1 - f**4 + 6*f**3 in the form k*f**3 + h + a*f + s*f**2 + d*f**4 and give s.
0
Rearrange -1321*k + 2210*k - 1272*k to u + r*k and give r.
-383
Express -14*r - 27*r - 20*r - 32*r**3 + 54*r - 8*r as o*r**3 + s*r**2 + j*r + t and give o.
-32
Rearrange -36 - 52 - 75*b + 77*b - 27 to h + j*b and give h.
-115
Express 2408 - 192*a - 2408 in the form q + g*a and give g.
-192
Rearrange (6 - 16 + 12 - 37*w)*(-22*w + 7*w - 25*w) to the form h*w**2 + o*w + y and give o.
-80
Express 7*y - 15*y**2 - 7*y + (y + 2*y - 5*y)*(y + y + 0*y)*(-12 + 0 + 2) as t*y**2 + j + s*y and give s.
0
Rearrange (3 - 4 + 2)*(-1574*b**3 - 168*b**3 - 507*b**3) to the form s*b**2 + a + c*b**3 + w*b and give c.
-2249
Rearrange 11*n + 20*n - 67*n + (-5*n + 2*n + n)*(2 - 4 - 1) - n + 4*n - 5*n - 6*n - 6*n + n + 5*n - 3*n + 0*n to t + j*n and give j.
-41
Express -52*p - 39*p - 126*p**2 + 91*p + 19*p**2 as m*p**2 + d + g*p and give m.
-107
Rearrange 71*p + 60*p - 7*p - 8*p to the form s*p + v and give s.
116
Express -41 + 51 + f**3 - 9 + 114*f**2 as m*f**2 + v*f**3 + w + o*f and give v.
1
Express (2 - w - 2)*(22*w - 11*w - 10*w - 64*w**3) as n*w**4 + z + x*w + c*w**2 + o*w**3 and give z.
0
Rearrange -2*g + 31 - 1119*g**2 + 565*g**2 - g**4 + 554*g**2 + 3*g**3 to o + z*g**2 + t*g + k*g**4 + h*g**3 and give t.
-2
Rearrange 9 - 23*x**2 + 12*x**2 - 10*x - 2 - 7 to l*x + h*x**2 + u and give l.
-10
Rearrange -38*a - 131*a - 89*a - 288*a to the form s*a + c and give s.
-546
Rearrange -102*k**2 + 22*k**2 + 30*k**2 + 25*k**2 + 28*k**2 + 308*k to q*k**2 + z*k + h and give z.
308
Express -1 + 37*u + 2*u**4 + 47*u**2 - 49*u**2 + 3*u**3 - u**3 - u**4 in the form s + z*u**2 + y*u + q*u**4 + l*u**3 and give y.
37
Rearrange (-90 + 205 + 60)*(a**2 - 4*a**3 + 5*a**3 + 2*a**3) to f*a + j*a**3 + w*a**2 + k and give j.
525
Rearrange 3733*i**3 - 2*i**4 + 3*i**4 - 3636*i**3 - 3 + 2*i + i**4 to f*i**4 + q*i**3 + t*i + g*i**2 + l and give t.
2
Express -6*v**3 - 12 - 14*v + 2*v**4 + 4*v**3 + v**3 - 19*v + 32*v as d + g*v**2 + b*v + q*v**3 + c*v**4 and give d.
-12
Rearrange ((0 + 2 + 3)*(26 - 26 - 40*q) - 3 - 2*q + 3)*(-3*q + 0*q + 4*q) to t*q + h + l*q**2 and give l.
-202
Rearrange 2*h**3 + 51*h**2 + 29 - 2*h - 53*h**2 + 39 - 19 + h**4 to p*h**4 + j*h**3 + v*h + r*h**2 + u and give v.
-2
Express (-4*t + 3*t | {
"pile_set_name": "DM Mathematics"
} |
nwo. What is prob of picking 1 t, 2 n, and 1 o?
2/91
Three letters picked without replacement from {d: 18, o: 2}. Give prob of picking 1 o and 2 d.
51/190
Calculate prob of picking 4 f when four letters picked without replacement from {n: 3, f: 15}.
91/204
Calculate prob of picking 3 h and 1 j when four letters picked without replacement from {j: 3, d: 1, y: 3, h: 3}.
1/70
Three letters picked without replacement from {v: 2, y: 3}. Give prob of picking 2 v and 1 y.
3/10
Calculate prob of picking 2 c when two letters picked without replacement from lccccccclcccccllllc.
26/57
Two letters picked without replacement from {z: 1, r: 1, k: 1, n: 2, s: 1, x: 1}. What is prob of picking 2 n?
1/21
What is prob of picking 1 b and 3 m when four letters picked without replacement from mammb?
1/5
What is prob of picking 1 f and 1 j when two letters picked without replacement from {x: 2, f: 1, j: 4, d: 3, r: 2}?
2/33
Four letters picked without replacement from {j: 3, a: 3, e: 1, c: 10, n: 3}. What is prob of picking 3 n and 1 c?
2/969
Two letters picked without replacement from {e: 5, f: 4, j: 3, r: 1}. What is prob of picking 2 e?
5/39
What is prob of picking 1 r and 1 m when two letters picked without replacement from {f: 4, s: 2, m: 2, r: 1}?
1/18
Three letters picked without replacement from mnnnmnmnnnnmnnnmnyny. Give prob of picking 1 y and 2 n.
13/95
Calculate prob of picking 2 m and 1 v when three letters picked without replacement from rmrmrrrrrvrhhrbwwvr.
2/969
Four letters picked without replacement from {k: 2, t: 1, a: 5, v: 1}. Give prob of picking 2 k, 1 v, and 1 a.
5/126
Calculate prob of picking 3 r when three letters picked without replacement from ruqqqquqqqqququuq.
0
Two letters picked without replacement from vfuyvyuuffyvuyfvvyuv. What is prob of picking 2 u?
1/19
Three letters picked without replacement from tmtomoqmmooztmmzmz. Give prob of picking 2 o and 1 q.
1/136
Three letters picked without replacement from fffffffhhhfffhfhfff. Give prob of picking 3 h.
10/969
Two letters picked without replacement from {l: 2, g: 1, i: 6, o: 1, q: 2, d: 3}. Give prob of picking 1 d and 1 g.
1/35
What is prob of picking 2 f and 1 y when three letters picked without replacement from pbipyboyobyfobpf?
3/560
Calculate prob of picking 3 s when three letters picked without replacement from isaiiyisayasssyaass.
35/969
Calculate prob of picking 2 x and 2 i when four letters picked without replacement from xtiiytxiiiiyiix.
4/65
What is prob of picking 1 h, 2 o, and 1 k when four letters picked without replacement from khooook?
12/35
Three letters picked without replacement from btyppiypbbyttbpwp. What is prob of picking 2 b and 1 i?
3/340
What is prob of picking 1 b, 1 k, 1 m, and 1 r when four letters picked without replacement from {h: 6, r: 1, b: 3, m: 1, q: 4, k: 3}?
1/340
Calculate prob of picking 3 d when three letters picked without replacement from {q: 15, d: 5}.
1/114
Four letters picked without replacement from {q: 2, v: 11}. What is prob of picking 2 q and 2 v?
1/13
Two letters picked without replacement from {o: 2, z: 2, y: 6, h: 1, b: 5}. What is prob of picking 1 h and 1 o?
1/60
Calculate prob of picking 1 o and 1 e when two letters picked without replacement from {o: 3, e: 2}.
3/5
Four letters picked without replacement from sooisnsssoins. What is prob of picking 1 s, 1 i, and 2 o?
36/715
Two letters picked without replacement from {s: 3, k: 4, l: 2, u: 2, h: 2, f: 2}. Give prob of picking 1 f and 1 u.
4/105
Calculate prob of picking 4 j when four letters picked without replacement from {z: 3, j: 7}.
1/6
Two letters picked without replacement from llkgllldlllklglglgd. Give prob of picking 2 g.
2/57
Calculate prob of picking 1 l, 1 v, and 1 k when three letters picked without replacement from drvrdddvrordlkdr.
1/280
Four letters picked without replacement from egwsseezvwszees. What is prob of picking 1 v, 1 s, and 2 e?
8/273
Four letters picked without replacement from {j: 5, s: 2, w: 1, g: 3, x: 1, l: 1}. What is prob of picking 3 g and 1 j?
1/143
Three letters picked without replacement from lxammhasx. Give prob of picking 1 l and 2 x.
1/84
Two letters picked without replacement from {e: 4, i: 1, z: 4, j: 1, w: 7}. Give prob of picking 1 z and 1 e.
2/17
Two letters picked without replacement from ggllne. Give prob of picking 1 n and 1 l.
2/15
Two letters picked without replacement from lnn. What is prob of picking 1 n and 1 l?
2/3
What is prob of picking 2 p and 2 d when four letters picked without replacement from {b: 2, e: 2, i: 3, d: 4, p: 3, n: 2}?
9/910
Three letters picked without replacement from hwhwwhhwwhhwwhww. Give prob of picking 3 h.
1/16
What is prob of picking 2 g when two letters picked without replacement from {s: 1, p: 1, n: 2, g: 2}?
1/15
Three letters picked without replacement from {l: 6, d: 7, g: 2}. What is prob of picking 2 g and 1 d?
1/65
Calculate prob of picking 1 f and 2 v when three letters picked without replacement from {h: 3, f: 3, v: 2}.
3/56
What is prob of picking 1 t, 1 p, and 1 d when three letters picked without replacement from {t: 9, m: 1, i: 2, p: 3, d: 3}?
27/272
Two letters picked without replacement from wweeekkee. Give prob of picking 2 k.
1/36
What is prob of picking 2 s when two letters picked without replacement from ssssssssssswssssss?
8/9
What is prob of picking 2 x when two letters picked without replacement from {z: 4, r: 4, x: 12}?
33/95
Four letters picked without replacement from yggyyyyygyygyygyyy. Give prob of picking 2 g and 2 y.
13/51
Three letters picked without replacement from zzyqyybqqzyzh. What is prob of picking 2 z and 1 h?
3/143
What is prob of picking 1 p and 3 v when four letters picked without replacement from {p: 4, v: 3}?
4/35
Three letters picked without replacement from kpkxkkwppkkpbp. Give prob of picking 1 k, 1 x, and 1 b.
3/182
Calculate prob of picking 4 a when four letters picked without replacement from aauauau.
1/35
Two letters picked without replacement from ctcss. What is prob of picking 2 s?
1/10
What is prob of picking 1 f, 1 u, and 1 e when three letters picked without replacement from {l: 1, u: 1, w: 5, e: 3, f: 4}?
3/91
Three letters picked without replacement from qqqqsss. What is prob of picking 1 s and 2 q?
18/35
What is prob of picking 1 d and 1 g when two letters picked without replacement from dsgvvvgvdsssvsgdgvdg?
2/19
Four letters picked without replacement from {i: 1, l: 3, q: 3}. What is prob of picking 4 q?
0
Three letters picked without replacement from dwufh. Give prob of picking 1 f, 1 h, and 1 d.
1/10
Calculate prob of picking 4 n when four letters picked without replacement from {d: 1, c: 1, e: 2, n: 4}.
1/70
Two letters picked without replacement from pppoop. Give prob of picking 1 o and 1 p.
8/15
Calculate prob of picking 2 t and 2 h when four letters picked without replacement from hhhthhhththhthhhhhh.
105/646
Three letters picked without replacement from {i: 7}. What is prob of picking 3 i?
1
Four letters picked without replacement from {b: 5, q: 6, d: 2}. Give prob of picking 1 b, 1 q, and 2 d.
6/143
Calculate prob of picking 1 z, 1 o, and 1 t when three letters picked without replacement from ooontozonnuononno.
1/85
Four letters picked without replacement from {f: 2, y: 6, v: 4}. What is prob of picking 4 y?
1/33
What is prob of picking 3 a when three letters picked without replacement from {x: 1, t: 5, f: 1, q: 1, a: 3, j: 3}?
1/364
Two letters picked without replacement from ebuxeebxebxexe. Give prob of picking 2 e.
15/91
What is prob of picking 1 f and 1 s when two letters picked without replacement from {f: 1, j: 1, z: 1, u: 1, w: 1, s: 2}?
2/21
What is prob of picking 2 j when two letters picked without replacement from {d: 3, j: 8, t: 3, p: 3}?
7/34
Three letters picked without replacement from {g: 1, d: 3, b: 3, o: 1, q: 3}. Give prob of picking 1 b and 2 d.
3/55
What is prob of picking 4 e when four letters picked without replacement from eeeeeeeee?
1
Calculate prob of picking 1 i, 1 h, and 1 d when three letters picked without replacement from hzizlyd.
1/35
Four letters picked without replacement from hvbbbxh. What is prob of picking 1 x, 2 v, and 1 b?
0
Calculate prob of picking 1 n and 1 j when two letters picked witho | {
"pile_set_name": "DM Mathematics"
} |
166 + 55.134. Let k = -49 + a. Let d = k + -6. What is the biggest value in 1/8, d, 5?
5
Let j be (3/5)/(6/4). Let q be (5/35)/(6/14)*12. What is the biggest value in j, q, 5?
5
Let v = 12 - 11. Which is the third smallest value? (a) 0.4 (b) v (c) -0.2
b
Let u = -0.022 + -0.478. Let j = -6 - -3. What is the smallest value in u, j, 0?
j
Suppose 237 = -0*u + 3*u. Let j = -313/4 + u. Let y = 0.3 + -0.4. What is the third biggest value in 0, y, j?
y
Let j = -4 + 1. Let g = -33 - -33.4. Which is the smallest value? (a) -0.4 (b) j (c) g
b
Let j = 0.1 + 0.9. Let c = -18.7 - -19. What is the second smallest value in j, c, -2?
c
Suppose -12*u - 19 = 5. Which is the second smallest value? (a) 2/5 (b) 0.1 (c) u (d) -1
d
Let z(f) = -f**2 - 10*f + 5. Let l be z(-10). What is the second smallest value in -3/2, l, -1?
-1
Let l = -5.09 - -0.09. Which is the third smallest value? (a) 2/7 (b) 1/71 (c) l
a
Let d = 6 - 10. Let u(p) = p - 2. Let x be (0 - -1)*(1 + 0). Let v be u(x). What is the biggest value in 2/9, v, d?
2/9
Let d be 5 - ((-15)/(-25) + 5). What is the biggest value in 5, 0.5, d?
5
Let g be ((-2)/14)/((-3)/(-6)). Let j = 21 - 26. What is the third smallest value in 0, g, j?
0
Let m = -35 - -1084/31. Let i = 86/217 - m. Suppose -p = p. What is the second smallest value in p, 0.5, i?
i
Let l = 0.08 - -0.42. Which is the third smallest value? (a) -5 (b) l (c) -0.4
b
Let n = 7 - 6. Let u = 4 - n. Which is the smallest value? (a) u (b) -5 (c) -3
b
Let u = -14 + 16. What is the fourth smallest value in 0.5, -0.5, -1/11, u?
u
Let h be -1 + (20/(-16) - 1/4). Which is the fourth biggest value? (a) 2 (b) -1 (c) h (d) 0.01
c
Suppose -2*s + 4 - 18 = 0. What is the second biggest value in -1.5, s, 3/8?
-1.5
Let j = 4.8 - 5. Let u = -11 - -6. Which is the biggest value? (a) -2 (b) j (c) u
b
Let d = 10.76 - -0.24. Let x = 0 + d. Let m = 13 - x. Which is the second biggest value? (a) 0.4 (b) m (c) -3
a
Let f = 6 - 2. Suppose -3*j + 5*l = 5, 0*j - 24 = -f*j - l. Let p = 1.85 - 1.35. Which is the second smallest value? (a) p (b) 2/5 (c) j
a
Let p = 56 - 36. Let i = p + -19.6. Suppose -5*z + 4*z = 0. What is the smallest value in i, -4/7, z?
-4/7
Let n = 6 + -4. Let h = -0.04 + -1.96. Which is the second smallest value? (a) n (b) h (c) 0
c
Let b(y) = -2*y - 1. Let g be b(-2). Let k = 5.6 + -6. Let t = k + -0.1. What is the biggest value in g, t, -1?
g
Let c = 60/11 - 1238/231. What is the third smallest value in 0, c, 4?
4
Let a = 49.05 - 51. Let v = -0.05 + a. What is the third smallest value in -0.4, v, -0.3?
-0.3
Let m = -12.09 - -12. Let f = m - -0.29. Which is the second biggest value? (a) f (b) -0.4 (c) 1
a
Let f = 2/9 + 1/36. Let v be 3 + -3 + -1*5. What is the second biggest value in f, v, 3?
f
Let w = 58 + -55. Which is the second smallest value? (a) -0.3 (b) 0 (c) w
b
Let v = 9 + -5. Let k be v/(4/(-1)) + 0. What is the third biggest value in -2/9, k, 3?
k
Let r be (0 + 1 - -1)/((-28)/6). What is the third biggest value in 12, 0.2, r?
r
Let j = 3/73 - 100/657. Which is the second smallest value? (a) 2/11 (b) -1 (c) j
c
Let t = 1.7 + -2.1. Let q = 0.13 + 8.87. Let d = -14 + q. Which is the smallest value? (a) t (b) 4/7 (c) d
c
Let q be 5/165*-6 + (-4)/(-11). Let h = 4.4 + -5. Which is the smallest value? (a) q (b) h (c) -0.4
b
Let j be 53/91 + 4/(-26). Which is the biggest value? (a) 2 (b) j (c) -3
a
Let q be 3/10*7/((-126)/(-30)). Which is the third biggest value? (a) 0.1 (b) q (c) -2/5 (d) -5
c
Let m be (0 + -2)*6/(-4). What is the third biggest value in 0, m, -1?
-1
Let v = -52 - -57. Which is the biggest value? (a) 2 (b) v (c) -0.4 (d) -2/7
b
Let t = 4/109 + 307/545. Let v = -0.1 + 0.6. Let l = v - 0.3. Which is the smallest value? (a) l (b) t (c) -4
c
Let n = 12.22 + -0.22. Let a = 11.7 - n. Let s = -2 + 4. What is the biggest value in 4, s, a?
4
Let v = 2/113 - -103/565. Suppose -30 = -2*m - m. Let n be ((-2)/m)/((-4)/(-10)). What is the second biggest value in n, v, -5?
n
Let g = -9 + 6. Let d = g + 3.2. Let l = -2/227 + 1147/1362. What is the third biggest value in d, -1/2, l?
-1/2
Let o = -11.01 + 11. What is the third smallest value in 0.5, o, -1/8?
0.5
Let j = 0.18 - 0.1. What is the second smallest value in -3, -1/2, j?
-1/2
Let u = -0.05 - 4.95. Which is the smallest value? (a) 1 (b) u (c) -2
b
Let q = -0.37 - 0.03. Let i = -2.8 - -0.8. Let x = 0.3 + 0.7. Which is the second smallest value? (a) q (b) x (c) i
a
Let a = -1.31 + 0.31. What is the biggest value in a, -4, -7?
a
Let x = -11 - -7. Let p = -3 + -3. Let o = -5.5 - p. What is the third smallest value in o, 5, x?
5
Let g = -31 - -31.38. Let m = 0.08 - g. Which is the third smallest value? (a) m (b) -1/2 (c) 5
c
Suppose 0 = -5*x + 10. Suppose -4*w = 5*p - 3*w - 7, -4*w + 10 = x*p. Let v = -3.3 + 3. Which is the smallest value? (a) p (b) v (c) 0.2
b
Let y be 13/6 - (-1)/(-2). Let q = y + -1. Which is the second biggest value? (a) 0 (b) -2 (c) q
a
Let y be 2/(-9)*(-1)/(-2). What is the second smallest value in 0.3, y, -1?
y
Let f = -12.5 - -12.7. Which is the smallest value? (a) 0.4 (b) -1/5 (c) f (d) 2
b
Let c = 3 - 6. Suppose 4*y + 2*p + 26 = 8*y, -4*y + 32 = -4*p. What is the third smallest value in c, y, -2/13?
y
Let n = 40.8 - 41. Which is the smallest value? (a) 0.5 (b) 0.01 (c) n
c
Let w = 0.06 - 12.06. What is the biggest value in -1, -0.2, w, -0.1?
-0.1
Let p = 0.019 - 0.029. Which is the smallest value? (a) 5 (b) p (c) 0.3
b
Let s = 0.1 - 0.2. Let z = 15.93 + -16. Let u = z - 4.93. Which is the second biggest value? (a) u (b) -1 (c) s
b
Let k = 12.9 - 13. Let u be ((-12)/21)/(2 + 0). Which is the biggest value? (a) u (b) k (c) 1/8
c
Let g = -1 - 3. Let k = 12 + -9. Which is the biggest value? (a) g (b) k (c) 2/7
b
Let r = 44 - 46. Let s = 80 - 242/3. What is the biggest value in s, -0.4, r?
-0.4
Suppose 4*d + 2101 = -d - f, 5*f = d + 415. Let z be 2/(-7) - (-48)/d. Which is the third smallest value? (a) -1.4 (b) 0.5 (c) z
b
Let u = 0.1 - 2.1. Let p = 1.96 - -0.04. Let y = -1 + p. What is the biggest value in u, y, -3?
y
Let k = 0.07 - 0.09. Let y = -81.02 + 83. Let d = y - k. Which is the second smallest value? (a) d (b) 0.1 (c) 2/19
c
Let k = 0.75 + 0.25. What is the smallest value in k, 0.1, 1/5?
0.1
Let w = -5.93 + -0.07. Let h = 0.6 + -9.6. Let x = h - w. What is the second smallest value in -5, 2, x?
x
Let t = 15/17 + -9/68. Let f be (-3)/(-10) + (-2)/4. Which is the third smallest value? (a) t (b) -3/2 (c) f
a
Let g = 17 - 22. What is the smallest value in 0, g, -1.2?
g
Let h be (4/6)/(120/18). What is the biggest value in -0.1, 0, h, 0.06?
h
Let n(m) = m**2 + m + 2. Let y(v) = v**2 + v. Let z be y(0). Let t be n(z). Which is the smallest value? (a) -3 (b) t (c) 5
a
Let b(g) = -g + 1. Let t be b(3). Suppose 139 = 3*r + 7*y - 3*y, -r = 3*y - 38. Let c be (r/28 + t)*4. What is the biggest value in c, 5, -2/5?
5
Let b = 44 + -39. What is the third smallest value in 7/4, -1, b?
b
Let y be (-24)/5516*(-448)/5. Let u = y + 2/197. Suppose -r - 8 = -5*r. Which is the second biggest value? (a) -5 (b) u (c) r
b
Let m = -4486/19 - -236. What is the third smallest value in 0.08, m, 4?
4
Let k = -14.5 + 14.8. What is the second biggest value in -2, k, -0.1?
-0.1
Let k = -0.2 - -1.2. Let g = k - 1.1. Which is the second biggest value? (a) -2/3 (b) g (c) 2
b
Let l = -5.4 - -0.4. Let i = -1 - 3. Let r = l - i. What is the second smallest value in -2, r, -1/4?
r
Let x = -2.04 + 2. Let w = x + 3.04. What is the smallest value in -3/5, w, 0?
-3/5
Let t = -85 + 86. Which is the second smallest value? (a) 4/5 (b) t (c) 1/5 (d) -3
c
Let l = 91 - 545/6. What is the biggest value in -1, l, -4?
l
Let l be (-2)/(-7)*14/6. Let f = 55 - 55.5. Which is the second smallest value? (a) -0.1 (b) f (c) l
a
Let p = -4.04 + 0.04. Suppose 2*s + 10 = 4*s. Which is the third biggest value? (a) p (b) -0.1 (c) s
a
Let x = -0.1 - -0.1. Suppose -5*n - 35 = 3*g, 25 = -g - 0*n - 5*n. Let l = 0.01 - -1.99. Which is the third biggest value? (a) x (b) l (c) g
c
Let h = 7 + -8.5. Let i = 2 + h. Let u(z) = z**3 + 2*z**2 - 2*z - 2. Let b be u(-2). What is the biggest value in i, b, -0.4?
b
Let | {
"pile_set_name": "DM Mathematics"
} |
7071 divided by -3?
13702357
What is -4 divided by -156135155?
4/156135155
483496 divided by -37192
-13
11933838 divided by 6507
1834
Calculate 21618590 divided by -1.
-21618590
Divide -2075737 by 10.
-2075737/10
Divide 466143045 by 5.
93228609
Divide -28 by -25558980.
7/6389745
Calculate 105589978 divided by 52794989.
2
Calculate -286163 divided by 167.
-286163/167
What is 3736742 divided by 6?
1868371/3
Divide 17 by -88007.
-17/88007
Calculate -2807184 divided by -467864.
6
Divide -23822144 by 14368.
-1658
Calculate -904 divided by 21725.
-904/21725
Calculate -153986 divided by 93.
-153986/93
53225424 divided by -17741808
-3
Divide -134158 by 450.
-67079/225
What is 44421 divided by 3764?
44421/3764
-95 divided by 101293
-95/101293
Calculate 4331897 divided by -98.
-4331897/98
What is -2816476 divided by 2?
-1408238
Divide 36320802 by 2.
18160401
What is -29571880 divided by 799240?
-37
What is -14357000 divided by -10?
1435700
Calculate 144917685 divided by 48305895.
3
Divide -71634560 by -1634.
43840
Divide -2 by -37060120.
1/18530060
Calculate -19358 divided by -625.
19358/625
-627487875 divided by -12805875
49
Divide -1883 by -11846.
1883/11846
Calculate 51 divided by 1388513.
51/1388513
-5 divided by -3009286
5/3009286
2 divided by -17724783
-2/17724783
Calculate -71 divided by 5878.
-71/5878
Divide -68507006 by 6.
-34253503/3
Calculate 239 divided by -1377916.
-239/1377916
Divide -77011868 by -6.
38505934/3
Divide -32110040 by 6.
-16055020/3
2918576 divided by 2918576
1
Calculate 11 divided by -12718172.
-11/12718172
What is -1148851926 divided by 12737?
-90198
Divide -7695720 by -2565240.
3
Divide 257377 by -3.
-257377/3
Calculate -104838537 divided by 34946179.
-3
What is -483391600 divided by 96678320?
-5
Divide -8217 by 2604.
-2739/868
Calculate 169723793 divided by 5.
169723793/5
Divide -19400759 by 2771537.
-7
Divide 4 by 657930.
2/328965
Calculate 286314 divided by 233.
286314/233
What is 5560905 divided by -1477?
-3765
Calculate -4 divided by 1639115.
-4/1639115
8863085 divided by 11
805735
Calculate -599880 divided by 111.
-199960/37
What is -288934800 divided by -1651056?
175
Divide -5 by -77565954.
5/77565954
Calculate -30605 divided by -914.
30605/914
What is 49177534 divided by 3?
49177534/3
29684490 divided by 1978966
15
Calculate -212 divided by 15209.
-212/15209
What is -9193551 divided by 87?
-105673
Calculate 1017141 divided by 31.
32811
Divide 23087917 by 7.
23087917/7
What is 155793046 divided by 1297?
120118
What is 66907568 divided by -2573368?
-26
Calculate -73339267 divided by 2087.
-35141
Divide 2410664 by 55.
2410664/55
Divide 398671472 by -16.
-24916967
What is -4939 divided by -882?
4939/882
-319972781 divided by -8647913
37
Divide -41798 by -145.
41798/145
Calculate 2 divided by -12780094.
-1/6390047
What is 4 divided by 1339912?
1/334978
Divide -4 by 19454711.
-4/19454711
Divide -75799026 by 2.
-37899513
Calculate -1096790360 divided by -2.
548395180
Calculate -14282004 divided by 3570501.
-4
What is 91858 divided by -759?
-91858/759
What is -6427729 divided by -7?
918247
-8899920 divided by 846
-10520
-199906 divided by -21
28558/3
Calculate 288660 divided by 1.
288660
Divide -9345392 by 2534.
-3688
-33021 divided by -12904
33021/12904
Calculate -3638800 divided by -176.
20675
Calculate -3326 divided by 5669.
-3326/5669
Calculate -15455996 divided by -6.
7727998/3
What is 716736508 divided by -876206?
-818
What is 97 divided by 44267?
97/44267
Divide 76616800 by 1390.
55120
What is -10554840 divided by -3?
3518280
5 divided by -2059156
-5/2059156
Divide 1235396208 by 3.
411798736
0 divided by 31766931
0
What is 15 divided by 1243155?
1/82877
What is 3321486 divided by -4698?
-707
What is 1825 divided by -5185?
-365/1037
Calculate -146571 divided by 156.
-48857/52
Calculate 0 divided by -87050455.
0
82061376 divided by 48
1709612
Divide -29704717 by 973.
-30529
Divide 8671616 by 74.
117184
What is -904608 divided by -301536?
3
Calculate -1212 divided by 6659.
-1212/6659
-5953086 divided by -1984362
3
Divide 9862128 by -2.
-4931064
-2 divided by -13383027
2/13383027
Calculate -14543 divided by -526.
14543/526
Calculate -45176270 divided by -22588135.
2
-7 divided by 2749487
-7/2749487
Calculate -17711784 divided by 2213973.
-8
Divide -9208160 by -52.
177080
Divide -8944455 by 9.
-2981485/3
9556080 divided by 79634
120
19148 divided by 5490
9574/2745
Calculate 43375 divided by 38078.
43375/38078
Calculate -9 divided by 295441.
-9/295441
12 divided by 936375
4/312125
What is 13663440 divided by -504?
-27110
Calculate 370147646 divided by -11.
-33649786
-944 divided by -245475
944/245475
10581746 divided by 4
5290873/2
Divide -20493457 by -6.
20493457/6
Divide 41032236 by -1322.
-31038
What is -242243 divided by 242243?
-1
Divide -3 by -7198561.
3/7198561
What is -11835474 divided by 7?
-1690782
Divide -8 by -30839335.
8/30839335
Calculate 131911262 divided by 35758.
3689
What is 371600372 divided by 22?
16890926
What is -108032364 divided by 44?
-2455281
Divide 7054215 by 69.
102235
Calculate 52 divided by -147433.
-4/11341
Divide 1895 by -69932.
-1895/69932
Divide 53370996 by -18284.
-2919
9 divided by -13261948
-9/13261948
70 divided by 1863691
70/1863691
5 divided by -3822683
-5/3822683
What is -16 divided by 2923460?
-4/730865
Divide -4450576 by 342352.
-13
What is 10314647 divided by -5?
-10314647/5
Divide -218 by 70341.
-218/70341
Calculate -4458905 divided by 6.
-4458905/6
Divide 192466 by 2659.
192466/2659
34255881 divided by -7557
-4533
2528390 divided by -2
-1264195
Calculate -1 divided by 69543692.
-1/69543692
852879 divided by -852879
-1
What is -124 divided by 59359?
-124/59359
Divide 56638118 by -1665827.
-34
Divide -127512 by 1518.
-84
Calculate 78427125 divided by -875.
-89631
What is -35319000 divided by 244?
-144750
Divide 178603819 by 81073.
2203
What is -453793200 divided by 175?
-2593104
Divide 932379840 by -1344.
-693735
What is -149989272 divided by 3?
-49996424
2279754 divided by 5
2279754/5
-5043130 divided by -355
14206
Divide 11252 by -619.
-11252/619
Divide 0 by -3174080.
0
Calculate 13564977 divided by -4521659.
-3
599888700 divided by 6
99981450
What is -1072442 divided by -277?
1072442/277
Divide -6 by 143164.
-3/71582
Calculate -44187579 divided by 12.
-14729193/4
What is -3401111 divided by -5?
3401111/5
Divide -42229728 by 2.
-21114864
Divide -598787 by -1.
598787
-4 divided by 58923069
-4/58923069
169298973 divided by 24561
6893
Divide -214926921 by 23880769.
-9
-16397174 divided by 10
-8198587/5
-21036118 divided by -2
10518059
Calculate 1 divided by 48227679.
1/48227679
What is 230009816 divided by 8?
28751227
What is -731980 divided by -5?
146396
171649 divided by -4
-171649/4
What is -559 divided by -18952?
559/18952
What is 104083350 divided by 17347225?
6
Calculate -3024406 divided by -4.
1512203/2
Divide 60174024 by -15043506.
-4
-14296905 divided by 1845
-7749
What is 28170855 divided by -208673?
-135
Divide 508 by 63541.
508/63541
Divide -15354133 by 8.
-15354133/8
-1072934600 divided by 5
-214586920
What is 126668518 divided by -6?
-63334259/3
Divide -1 by 121690710.
-1/121690710
-22374 divided by 506
-1017/23
Divide 131371377 by -1.
-131371377
Divide 322120 by 40265.
8
5416 divided by -6434
-2708/3217
Calculate 32922540 divided by -62118.
-530
What is -321387052 divided by 2416444?
-133
What is 11050 divided by -3425?
-442/137
Divide -37 by 301671.
-37/301671
What is 229669834 divided by 2?
114834917
2530260 divided by 2
1265130
Divide -4409 by 125978.
-4409/125978
Calculate 6468605 divided by -83.
-77935
Calculate 312093005 divided by -27685.
-11273
What is 36490608 divided by 1584?
23037
What is 29358 divided by -846?
-1631/47
What is -39829415 divided by -2096285?
19
-632 divided by -1498
316/749
-4 divided by -160702
2/80351
Calculate -44 divided by 65512.
-11/16378
Calculate 9451180 divided by 4.
2362795
296113 divided by 636
296113/636
Calculate -6685 divided by 606.
-6685/606
What is 1 divided by -171413?
-1/171413
-3365894 divided by 3365894
-1
Calculate 17889225 divided by 2425.
7377
Divide 39413475 by -5.
-7882695
7297 divided by 73281
7297/73281
-108561540 divided by -79242
1370
Calculate -5 divided by -66912815.
1/13382563
Divide -5838168 by 9912. | {
"pile_set_name": "DM Mathematics"
} |
is the thousands digit of 229582634?
2
What is the millions digit of 523732399?
3
What is the hundreds digit of 2248024472?
4
What is the millions digit of 205283598?
5
What is the ten thousands digit of 1063068719?
6
What is the thousands digit of 164031419?
1
What is the hundreds digit of 90034309?
3
What is the hundred thousands digit of 7562207707?
2
What is the ten thousands digit of 1347116353?
1
What is the hundred thousands digit of 257400761?
4
What is the billions digit of 2427973554?
2
What is the ten millions digit of 211567816?
1
What is the millions digit of 192753217?
2
What is the units digit of 5778143779?
9
What is the tens digit of 35676877?
7
What is the thousands digit of 5869981?
9
What is the hundred thousands digit of 265859840?
8
What is the ten thousands digit of 177475490?
7
What is the units digit of 514327441?
1
What is the ten thousands digit of 39713419?
1
What is the hundred millions digit of 1235274956?
2
What is the units digit of 239954714?
4
What is the units digit of 731187838?
8
What is the units digit of 37081371?
1
What is the thousands digit of 264392539?
2
What is the units digit of 8599547?
7
What is the ten millions digit of 17444748?
1
What is the ten thousands digit of 5502072?
0
What is the millions digit of 299371083?
9
What is the thousands digit of 29186795?
6
What is the millions digit of 73974878?
3
What is the ten thousands digit of 195290610?
9
What is the tens digit of 651191351?
5
What is the ten thousands digit of 301161958?
6
What is the units digit of 30912892?
2
What is the ten millions digit of 55103300?
5
What is the hundred thousands digit of 1998730828?
7
What is the ten thousands digit of 31016177?
1
What is the hundred millions digit of 660134691?
6
What is the billions digit of 1682299850?
1
What is the units digit of 321992967?
7
What is the ten millions digit of 1379793019?
7
What is the units digit of 53890448?
8
What is the billions digit of 1199706873?
1
What is the millions digit of 1871168009?
1
What is the millions digit of 26362884?
6
What is the hundreds digit of 1372025805?
8
What is the hundred thousands digit of 68148597?
1
What is the ten thousands digit of 202487301?
8
What is the thousands digit of 180569918?
9
What is the billions digit of 5306894769?
5
What is the tens digit of 76774496?
9
What is the hundreds digit of 3375269?
2
What is the tens digit of 312847023?
2
What is the hundred millions digit of 345599115?
3
What is the units digit of 189132086?
6
What is the ten millions digit of 1733268503?
3
What is the units digit of 1409806525?
5
What is the ten thousands digit of 29491139?
9
What is the ten thousands digit of 2205075957?
7
What is the millions digit of 97350060?
7
What is the hundreds digit of 1959897462?
4
What is the billions digit of 4711729898?
4
What is the thousands digit of 3926322193?
2
What is the billions digit of 1384755647?
1
What is the hundred thousands digit of 28813353?
8
What is the ten millions digit of 3007060740?
0
What is the billions digit of 2930335485?
2
What is the hundred thousands digit of 1225542498?
5
What is the hundreds digit of 136636560?
5
What is the thousands digit of 350559310?
9
What is the ten thousands digit of 143576812?
7
What is the hundreds digit of 248184637?
6
What is the hundred thousands digit of 177140?
1
What is the units digit of 6681872?
2
What is the hundred thousands digit of 2158932445?
9
What is the ten thousands digit of 115327077?
2
What is the hundreds digit of 5396629505?
5
What is the thousands digit of 944628?
4
What is the tens digit of 340912532?
3
What is the hundreds digit of 3235118443?
4
What is the hundred millions digit of 2809963595?
8
What is the units digit of 695752603?
3
What is the tens digit of 804520798?
9
What is the hundred thousands digit of 1187893230?
8
What is the hundred thousands digit of 1014465410?
4
What is the hundred millions digit of 4456689252?
4
What is the thousands digit of 2271356777?
6
What is the hundred millions digit of 310555811?
3
What is the thousands digit of 62810380?
0
What is the ten thousands digit of 13630740?
3
What is the millions digit of 1157256978?
7
What is the hundreds digit of 114109637?
6
What is the hundred millions digit of 210880747?
2
What is the ten millions digit of 87077384?
8
What is the hundreds digit of 393266295?
2
What is the hundreds digit of 448767831?
8
What is the ten thousands digit of 7831511?
3
What is the hundred millions digit of 542327660?
5
What is the millions digit of 232394940?
2
What is the hundred millions digit of 355057405?
3
What is the tens digit of 2678372561?
6
What is the thousands digit of 1004510520?
0
What is the millions digit of 6480656?
6
What is the ten millions digit of 231676030?
3
What is the hundred millions digit of 152378864?
1
What is the ten millions digit of 182548700?
8
What is the billions digit of 2116308964?
2
What is the ten millions digit of 171874260?
7
What is the ten millions digit of 19739955?
1
What is the units digit of 195056683?
3
What is the millions digit of 98202745?
8
What is the hundreds digit of 98442950?
9
What is the units digit of 125564999?
9
What is the hundred thousands digit of 2245883192?
8
What is the millions digit of 249305430?
9
What is the ten millions digit of 623358941?
2
What is the hundreds digit of 239902203?
2
What is the ten millions digit of 997634561?
9
What is the hundred thousands digit of 691155837?
1
What is the ten millions digit of 2079773976?
7
What is the hundreds digit of 477910982?
9
What is the ten millions digit of 294210548?
9
What is the hundred millions digit of 1189726501?
1
What is the ten millions digit of 602812399?
0
What is the thousands digit of 46809711?
9
What is the millions digit of 46361569?
6
What is the thousands digit of 197720399?
0
What is the units digit of 344500842?
2
What is the thousands digit of 485178428?
8
What is the millions digit of 164504938?
4
What is the millions digit of 143732941?
3
What is the hundred thousands digit of 32935363?
9
What is the ten millions digit of 6805561859?
0
What is the hundred thousands digit of 28162277?
1
What is the ten millions digit of 1472868302?
7
What is the millions digit of 285967820?
5
What is the ten thousands digit of 4103946396?
4
What is the hundreds digit of 39246524?
5
What is the millions digit of 302091467?
2
What is the millions digit of 51923453?
1
What is the hundred millions digit of 202779071?
2
What is the thousands digit of 322590756?
0
What is the ten thousands digit of 474136686?
3
What is the hundred thousands digit of 95734860?
7
What is the millions digit of 218895630?
8
What is the billions digit of 3363031043?
3
What is the ten millions digit of 196774944?
9
What is the ten millions digit of 109318031?
0
What is the ten thousands digit of 3262601196?
0
What is the hundreds digit of 96002800?
8
What is the tens digit of 472473808?
0
What is the thousands digit of 3752980684?
0
What is the ten millions digit of 5916465550?
1
What is the ten millions digit of 10787315?
1
What is the ten thousands digit of 4768348?
6
What is the units digit of 861574363?
3
What is the thousands digit of 11665609?
5
What is the tens digit of 725556212?
1
What is the thousands digit of 1807205338?
5
What is the millions digit of 65876832?
5
What is the hundred millions digit of 1954900228?
9
What is the hundred millions digit of 879945742?
8
What is the ten millions digit of 291535312?
9
What is the millions digit of 165426468?
5
What is the billions digit of 6793659485?
6
What is the ten millions digit of 1013455435?
1
What is the hundred millions digit of 918186621?
9
What is the hundred thousands digit of 749537871?
5
What is the thousands digit of 132611709?
1
What is the thousands digit of 923857859?
7
What is the ten thousands digit of 555006636?
0
What is the millions digit of 132909542?
2
What is the hundreds digit of 48957110?
1
What is the hundreds digit of 1074791730?
7
What is the hundreds digit of 199462623?
6
What is the millions digit of 11285961?
1
What is the thousands digit of 1002377894?
7
What is the hundred millions digit of 344552997?
3
What is the ten thousands digit of 52872359?
7
What is the units digit of 212611182?
2
What is | {
"pile_set_name": "DM Mathematics"
} |
Expand 5*c**2 + 36*c - 36*c + c**2 - c + c + (c + c - c)*(c - c - 2*c) - 3*c**2 + 3*c**2 + 3*c**2 + 2*c**2 + 0 + 0.
9*c**2
Expand (-t + 5*t - 2*t)*(t - t - t**3) - 1235*t**4 - 5*t**3 - 160*t**4 + 5*t**3.
-1397*t**4
Expand (-3*g - 6*g + 2*g)*(6 - 6 - 7*g)*(-6*g**2 - 2*g**2 + 4*g**2).
-196*g**4
Expand (-5*u + 3*u + 3*u)*(-3*u + 3*u + u**2) + 0*u - 2*u**3 + 0*u - 418*u**3 - 14*u**2 + 4*u**2 + 10*u**2.
-419*u**3
Expand (-l**2 - l + l)*(-5 - 2 + 4)*(2*l - 2*l - 2*l)*(-8*l + 8 - 8).
48*l**4
Expand 7*p - 7*p + 2*p**4 + (11*p - 2*p + 0*p)*(-p**3 - 2*p**3 + p**3).
-16*p**4
Expand (3 - 1 + 0)*(-43 + 43 + 69*u) + 0*u - 2*u - u + 5*u - 5*u - 3*u + (0*u + u - 2*u)*(-2 - 2 + 3) - 1 + 1 + u.
134*u
Expand -4*y + 7*y + y + (0 + 0 - y)*(-2 + 2 - 2) - y + 27*y - y.
31*y
Expand (-2*x + 1 - 1)*(-6 - 7 - 1) + 131 - 131 + 9*x.
37*x
Expand -g + 0*g + 7*g + 7 + 2*g + g - 4*g + (-g - 1 + 1)*(0 + 4 - 2) + 2 - g - 2.
2*g + 7
Expand (3 - 6 - 10 + q)*(0*q**4 + 0*q**4 - 2*q**4) + (-q + 4*q - 2*q)*(q - q**4 - q).
-3*q**5 + 26*q**4
Expand 8*c - 5*c + 4*c - 3*c + 0*c + 0*c + 0*c + 2*c - c + (-2*c - 4*c + c)*(-2 + 1 - 2).
20*c
Expand ((-1 + 1 - 2)*(5*j + 0*j - 7*j) + (1 - 5 + 3)*(-4 + 4 + j))*(5*j**2 + 1 + 3*j**2 + 4*j - 7*j**2).
3*j**3 + 12*j**2 + 3*j
Expand (-t + t + 2*t)*(-3 + 4 + 2)*(-66*t**2 + 29*t**2 - 3*t**2).
-240*t**3
Expand (-113 - 40 + 316)*(-6*q - 4*q + 7*q).
-489*q
Expand (3 + 0 - 5 + (13 - 2 + 2)*(0 + 1 - 3))*(-t + 4*t - 2*t).
-28*t
Expand (2*t**3 - 3*t**3 + 4*t**3)*(13*t - 29*t + 23*t) - 2*t**4 + 0*t + 0*t + (t + 2*t**3 - t)*(2*t - t - 2*t).
17*t**4
Expand ((0 - 1 + 2)*(-2 - 2 - 3) + 6 - 1 - 3 + 6 + 1 - 1)*(0*k**2 - k**2 + 0*k**2).
-k**2
Expand 3*w**2 + 0*w**2 - 2*w**2 + (-5 + 9 + 3)*(2*w**2 + 0*w**2 - 4*w**2).
-13*w**2
Expand (-10 - 10 - 16)*(2*x**4 + 2*x**4 - 2*x**4) + x + x**4 - x.
-71*x**4
Expand (4*f - 5*f - f)*(-5*f**4 + 98*f**4 + 14*f**4).
-214*f**5
Expand (0 + 2 - 3)*(-5*k**2 + k**2 + 2*k**2) - 71*k**2 - 52*k**2 + 4*k**2.
-117*k**2
Expand (q - 5*q - 3*q)*(-7*q**2 + 2*q**2 - 9*q**2).
98*q**3
Expand (5*i + 24*i + 2*i)*(2 - 4 + 0).
-62*i
Expand (-466 + 152 - 170 + 57)*(f + 3*f - f).
-1281*f
Expand (-q**2 - q**2 + 3*q**2)*(-37*q - 276*q + 7*q - 624*q).
-930*q**3
Expand (11 - 18 - 10)*(0 + 0 + 7*f**2).
-119*f**2
Expand (-13*g + 10*g + 0*g)*(2*g - g + g)*(2 - 3 + 3).
-12*g**2
Expand (5*s - 5*s**2 - 5*s)*(5 - 3 + 3) + 13 - 6 - 2*s**2 - 11.
-27*s**2 - 4
Expand (-93 + 28 - 116)*(0*j + j + 0*j).
-181*j
Expand (4*h**2 - 6*h**2 + 0*h**2 + h - h**2 + 2 - 2 + (-h + 4*h - 5*h)*(2 - 2 + 2*h) + h**2 - 1 + 1)*(-2*h**2 + 0*h**2 - h**2).
18*h**4 - 3*h**3
Expand (-63 + 44 + 207)*(2*z - 3 - 3*z + 2*z).
188*z - 564
Expand (-171*o + 205*o**3 + 171*o)*(1 + 1 - 1) + (-3 + 2*o**3 + 3)*(0 - 3 + 5).
209*o**3
Expand (2*a + 2*a - 5*a)*(-2*a**4 + 6*a**3 - 6*a**3) + 27*a**4 - 11*a**5 - 27*a**4 + 0*a**5 - 3*a**5 + 5*a**5.
-7*a**5
Expand n**4 + n**4 + 0*n**4 + (4 + 4 - 6)*(-147*n**2 + 147*n**2 - 12*n**4) + 13*n**4 + n**4 - 2*n**4.
-10*n**4
Expand -40 + 40 + 5*b**2 + (2*b - 2*b + b)*(-20 - 9*b + 20).
-4*b**2
Expand -2*p**3 + p**2 - p**2 + (-1 - 1 + 3)*(36*p**3 - 18*p**3 - 2*p**3) + 6*p**3 - 2*p**3 - 3*p**3.
15*p**3
Expand (8 + 6 + 7)*(0*z + 0*z + 2*z + (-3 + 2 + 0)*(-1 - 3*z + 1)).
105*z
Expand (-3*f**3 + 0*f**3 + f**3 + 2*f)*(-4*f**2 + 2*f**2 + 13 + 6*f**2).
-8*f**5 - 18*f**3 + 26*f
Expand (3 - 2*o - 3)*(2*o + 0 + 0) - 4*o**2 + 2*o**2 + o**2 + 389*o**2 - 2088*o**2 - 1136*o**2.
-2840*o**2
Expand -4*i**3 + 4*i**3 + i**5 + (4 - i - 4)*(0*i**4 + 0*i**4 + i**4) - 11*i**3 + 7*i**5 + 11*i**3 + (3*i - 3*i - 2*i**4)*(3 - 4*i - 3).
15*i**5
Expand (7 - 17 - 10)*(18*q - 18*q - 26*q).
520*q
Expand (-530 + 530 - 54*c)*(-2 + 3 - 2 + (-5 + 2 + 2)*(3 - 3 + 2))*(-3 + 5 + 0)*(2*c - 2*c - c).
-324*c**2
Expand (-139 - 282 + 91 + 5)*(-3*o**4 + o - o).
975*o**4
Expand (-5*s**3 + 4*s**3 - 3913*s**2 - 2 + 4128*s**2)*(-s + 2*s - 2*s).
s**4 - 215*s**3 + 2*s
Expand (109 + 93 - 57)*(0 + 2*s**2 + 0) + 0*s**2 - s**2 + 3*s**2.
292*s**2
Expand 4*r**2 - r**2 - 4*r**2 + 6*r**2 - 8 + 8 + (3*r - 4*r + 2*r)*(r - r + 2*r) - 1 + 1 + 2*r**2 + 8*r**2 - 7*r**2 + 20*r**2.
30*r**2
Expand (0 + 0 - 39*k)*(-3 + 2 - 7)*(-k**3 - k**3 + 4*k**3).
624*k**4
Expand -2 - b**4 + 2 + (0*b - b + 2*b)*(-3*b**3 - b**3 + 3*b**3) + (-3*b + 1 - 1)*(b**3 + 2*b**3 - 5*b**3) - 4*b**4 + b**4 - 2*b**4.
-b**4
Expand -6*a**5 + 0*a**5 - a**5 + (-1 - 1 + 1)*(0*a**2 + 0*a**2 - a**5) + a**5 - a**5 + a**5 + (2*a**4 - 2*a**4 + a**4)*(-1 - 5*a + 1).
-10*a**5
Expand (2 + 3 + 2)*(-3 - 3*x**2 + 1 + 1).
-21*x**2 - 7
Expand (28*g + 10*g**2 - 28*g)*(-2*g + 2 - 2)*(-4 + 5 + 2).
-60*g**3
Expand 4*u**2 - 4*u**2 - 2*u**5 + (u - 2*u**2 - u)*(32*u**3 + 81*u**3 - 37*u**3).
-154*u**5
Expand (-6*s - s**5 - 508*s**3 + 508*s**3 - 2*s**5)*(-3 + 17 + 2).
-48*s**5 - 96*s
Expand ((-3*s + 0*s + 5*s)*(-4 + 4 + 3*s) - 19*s**2 + 70*s - 70*s)*(-5*s**2 + 2*s**2 + s**2).
26*s**4
Expand (c - 3*c + 0*c)*(-19*c - 9*c**2 + 19*c)*((c + 2*c - c)*(-2*c - c + 4*c) + c + c**2 - c + 2*c**2 - c + c - 17*c + 17*c + 2*c**2).
126*c**5
Expand (-d**3 - 2*d + 2*d)*(4*d + 6*d - 3*d)*(0 - 2*d + 0).
14*d**5
Expand -40*v**3 - 20*v**3 + 2*v**3 + (-1 + 1 - 2*v)*(-4*v**2 + v**2 + 2*v**2) - 3*v**2 - v**3 + 3*v**2.
-57*v**3
Expand (-2 - c + 2)*(-12 - 2 - 7 - 4 + 4 - 1 + (1 - 2 + 2)*(-3 + 6 - 2)).
21*c
Expand -y**4 - 5*y**5 + y**4 + 12*y**4 - 12*y**4 + 5*y**5 + (y**3 + 0*y**3 - 3*y**3)*(6*y**2 + 9*y - 9*y).
-12*y**5
Expand (-40*u**2 - 111*u**2 + 37*u**2 - 18*u**2)*(-3 + 3 + u**2).
-132*u**4
Expand (-3 + s + 3)*(1 - 2 - 1) - s + s - s + (4*s + 0*s - 6*s)*(-15 + 16 - 18).
31*s
Expand (-6*f**4 + 10*f**4 + 7*f**4)*((3 - 2 - 2)*(1 - 3 + 1) + 0 - 1 - 5).
-55*f**4
Expand -m**4 + 18*m**2 + 6*m**3 - 18*m**2 + 2*m**4 + 0*m + 0*m + (0*m + 0*m - 2*m)*(4 - 4 - 2*m**3) + 2*m**4 + m**3 - m**3 - 3*m**4 + 3*m**4 - m**4.
6*m**4 + 6*m**3
Expand 4*t**3 + 25*t - 32*t + 19*t - 2*t**4 + (-t**3 + 3*t**3 - 4*t**3)*(-6*t + 2*t + 2*t).
2*t**4 + 4*t**3 + 12*t
Expand 3 - 3 + y**4 - y**4 + 4 - 4 + (3*y + 3*y - 4*y)*(-3*y**3 - y**3 + 2*y**3) + (86*y**3 - 86*y**3 + 50*y**4)*(4 - 2 + 0).
96*y**4
Expand -5*n**5 - 32065 + 2*n**2 + 32065 + (3*n - 2*n**2 - 3*n)*(5*n**3 + 3*n**3 - 3*n**3) + 2*n**2 + n**5 - 2*n**2 + 3*n**2 - 2*n**5 - 3*n**2.
-16*n**5 + 2*n**2
Expand (2 + 0 + 6)*(4*t - 3*t + 0 + 2) + (5 - 5 - 2)*(-15 + 15 + t).
6*t + 16
Expand 3*d**4 + 0*d**2 + 0*d**2 + (-2*d + 0 + 0)*(6*d**3 - 8*d**3 - 8*d**3).
23*d**4
Expand (-2*f**2 + f**2 + 0*f**2)*(-6 + 1 - 1)*(-1 + 7 - 3)*(4 + 3 - 5).
36*f**2
Expand (-b + 3 - 3)*(-16*b + 67676 - 3*b - 67670).
19*b**2 - 6*b
Expand 10*k + 10*k - 2*k + (2 + 0 - 1)*(-4*k + 11*k + 0*k).
25*k
Expand (2 - 3*a - 2)*(a + 51*a**2 + 2 - 34*a**2 - 37*a**2)*(-4*a - a + 6*a).
60*a**4 - 3*a**3 - 6*a**2
Expand (l**3 + 3 - 3)*(-1 + 3 + 5) + 0*l**3 + l**2 + 4*l**2 - 2*l**3 + l**3 - 2*l**3 + 2*l**3.
6*l**3 + 5*l**2
Expand b**2 - b**2 + 2*b**2 + (-27 + 27 - 22*b)*(-2*b - b + 4*b) + (b - b - 2*b**2)*(0 - 2 + 4) - 32*b + 11*b**2 + 32*b.
-13*b**2
Expand -5*k + 2*k + 0*k + (1 + 1 + 0)*(-2 + 2 - k + (6*k - 3*k - 2*k)*(5 - 2 - 4) - 37*k - 14*k + 31*k).
-47*k
Expand (2*o**2 + 1 - 1)*(6*o**2 - 8*o + 8*o) + 2 + 0 + 55*o**4 - 23*o**4.
44*o**4 + 2
Expand (0*v + 18*v - 3*v)*(3 - 2 + 0)*(v + 0*v - 3*v)*(-6*v + 8 - 8 + (-2 + 1 - 1)*(2*v + v - 4*v) + 1 + 2*v - 1).
60*v**3
Expand (-3*v**3 + 5*v**3 - 4*v**3)*(-5*v - 17*v - 2*v)*(-v + 2*v + 0*v).
48*v**5
Expand (13 - 13 + 18*t)*(1 - 3 + 0 + (0 - 4 + 2)*(-4 + 4 - 2)).
36*t
Expand (s - 4*s + 4*s)*(13*s**3 + 3273*s + 7*s**3 - 3273*s).
20*s**4
Expand (-8*i + 4 - 4)*(i**2 - 1 + 1)*(2*i - 2*i**2 - 2*i).
16*i**5
Expand 297*b - 289*b - 1 + 4 + (-3 + 2 + 3)*(0*b + 4*b - 5*b).
6*b + 3
Expand (5*v**3 - v**3 + v**3)*(2*v**2 - 1 + 0*v + 3 - 14*v).
10*v**5 - 70*v**4 + 10*v**3
Expand 1342 - 7*x**2 - 1344 + 6*x**2 + (2*x - 2*x + 2*x)*(-x - 1 + 1).
-3*x**2 - 2
Expand (-26*t**2 - 21*t**2 + 198*t**2)*(-4 + 4 + t).
151*t**3
Expand (2*o - 3*o + 2*o)*(-2 + 0 + 0) + (-2*o + 3 - 3*o + 6*o)*(-22 + 10 - 24).
-38*o - 108
Expand (-3 + 0 + 4)*(3 - 5 + 0)*(-337 + 337 + 46*q).
-92*q
Expand (-4 + 4 - 2)*(5 - f - 5 - 4*f + f + 4*f + (-2*f - 2 + 2)*(-2 + 6 - 3) - 2*f - 9*f - 3*f).
32*f
Expand (-2*a**3 - 3*a**3 + 2*a**3)*((-6 - 2 + 1)*(1 - 1 + 2*a) - 2*a + 0 + 0 + (1 - 4 + 4)*(-4*a + 5*a + a) + 2 - a - 2 - a + 1 + 1 + 3*a).
39*a**4 - 6 | {
"pile_set_name": "DM Mathematics"
} |
5 + 17*h**z - 14*h**2 wrt h?
-8*h
Let p = -5 - -7. Let u = p - 0. Find the third derivative of -4*h**u + 0*h**2 + 6*h**2 + 0*h**3 - h**3 wrt h.
-6
Suppose -4*n + 18 - 62 = 0. Let x = n - -11. What is the first derivative of -u + x*u - 2 - 2*u wrt u?
-3
Differentiate -30 + 14 + 26*a + 14 with respect to a.
26
Let w(k) = 4*k**3 + k - 4. Suppose 0 = -4*u - u - 35. Let x(b) = 8*b**3 + 3*b - 7. Let v(n) = u*w(n) + 4*x(n). What is the second derivative of v(m) wrt m?
24*m
Let r be (-2)/4*-1*8. Suppose -2*k - r = -4*k. Differentiate -1 + i**k + 5 - 3 wrt i.
2*i
Let h(g) be the third derivative of -g**8/336 - g**5/2 + 11*g**4/6 - g**2 + 8*g. Find the second derivative of h(r) wrt r.
-20*r**3 - 60
Suppose 2*c - 4*r = 4*c - 8, -5*c + 20 = 5*r. Find the second derivative of -3 - c - 2*t + 7 + t**2 wrt t.
2
Let q(t) be the second derivative of 2/3*t**3 + 1/2*t**2 - t + 0. Differentiate q(i) wrt i.
4
Suppose -8*o = -4*o - 16. Differentiate -o*v**2 + 2 + 1 + 2*v**2 with respect to v.
-4*v
What is the derivative of 1 - 3*c**4 + 15*c**4 + 3 - 7 wrt c?
48*c**3
Let k(u) = -5*u**4 + 2*u**3 - 6*u**2 + 9. Let m(v) = -5*v**4 + 3*v**3 - 5*v**2 + 9. Let x(q) = 4*k(q) - 5*m(q). Find the third derivative of x(d) wrt d.
120*d - 42
Let r(j) be the second derivative of 1/2*j**3 + 0*j**5 + 0*j**2 + 0*j**6 + 0 + 1/42*j**7 + 0*j**4 - 2*j. What is the second derivative of r(t) wrt t?
20*t**3
Let z(f) = 4*f - 41. Let g be z(11). Suppose 2*i = -l + 3, 2*i + 2*l - 5*l - 7 = 0. Find the second derivative of -4*p**3 - i*p**3 + 2*p + 7*p**g wrt p.
6*p
Find the third derivative of -9*t**3 + 9*t**3 + 5*t**2 + 12*t**4 wrt t.
288*t
Let n(d) be the third derivative of 0 + 5*d**2 + 3/8*d**4 + 0*d**3 + 0*d - 3/20*d**5. What is the second derivative of n(k) wrt k?
-18
Let w be ((-12)/9 + 1 - 1)*3. Let d(f) = 2*f**2 - 6. Let b(g) = -4*g**2 + 3*g**2 + 3*g**2 - 7. Let p(a) = w*d(a) + 3*b(a). Differentiate p(o) with respect to o.
-4*o
Suppose -6*j = -j + 5. Let u(n) = -n**3 - n**2 + 1. Let o(z) = -z**3 - 5*z**2 + 6. Let k(l) = j*o(l) + 5*u(l). Differentiate k(b) with respect to b.
-12*b**2
Let v(z) be the third derivative of -z**7/70 - 7*z**5/60 + 4*z**2. Find the third derivative of v(m) wrt m.
-72*m
Let s(h) = -71*h - 71. Let n(i) = 107*i + 107. Let o(f) = -5*n(f) - 8*s(f). What is the derivative of o(k) wrt k?
33
Let m(o) = 24*o**2 + 2*o + 1. Let a(g) = -119*g**2 - 11*g - 6. Let j(p) = 2*a(p) + 11*m(p). Differentiate j(v) wrt v.
52*v
Let g(x) = -12*x**5 - 2*x**4 - 9*x. Let r(o) = 35*o**5 + 7*o**4 + 28*o. Let t(z) = -7*g(z) - 2*r(z). What is the second derivative of t(c) wrt c?
280*c**3
What is the third derivative of -22*r**3 - 11*r**4 + 22*r**3 + 5*r**2 wrt r?
-264*r
Let a(r) be the second derivative of -r**3/2 - 11*r**2/2 - r. What is the first derivative of a(g) wrt g?
-3
Let y(i) be the third derivative of 0*i**3 + 1/8*i**4 + 0*i**5 + 0*i**6 + 0*i + 1/70*i**7 + 0 + 7*i**2. Find the second derivative of y(p) wrt p.
36*p**2
Suppose -5 = -x + 3. Let c = x - 4. Find the second derivative of k**4 + 0*k**c - k - k wrt k.
12*k**2
Find the third derivative of 3*h**4 - 4*h**4 - 2*h**4 - 2*h**2 - h**4 wrt h.
-96*h
Let q(c) be the third derivative of -c**10/75600 - c**6/360 + c**5/15 + 4*c**2. Let i(y) be the third derivative of q(y). Differentiate i(o) with respect to o.
-8*o**3
Let x be (7/3 - 1)*6. Let r = -5 + x. Find the second derivative of -4*i + r*i + i**4 - 2*i**4 wrt i.
-12*i**2
Let d(c) = -8*c**3 + 5*c. Let z(g) = g**3 - g. Suppose -2*o = 29 + 41. Let v(m) = o*z(m) - 5*d(m). What is the second derivative of v(s) wrt s?
30*s
What is the second derivative of 10*c**4 - 10 - 32*c + 16 - 6 wrt c?
120*c**2
Let m(o) be the third derivative of o**7/105 - 7*o**5/30 - 16*o**3/3 - 18*o**2 - 2. Differentiate m(y) with respect to y.
8*y**3 - 28*y
Let d(k) = 4*k + 3. Let m be d(3). Let x = m - 10. What is the second derivative of -2*v + 2*v**x + 4*v + 0*v**5 wrt v?
40*v**3
Let t(d) be the first derivative of -34*d**3/3 + 16*d - 3. What is the derivative of t(y) wrt y?
-68*y
Let m(z) = -22*z**3 - 4*z**2 - 11*z. Let l(h) = -22*h**3 - 5*h**2 - 10*h. Let d(x) = -4*l(x) + 5*m(x). Find the second derivative of d(y) wrt y.
-132*y
Let i(c) be the first derivative of -c**5/10 - c**2/2 + c - 3. Let r(a) be the first derivative of i(a). What is the derivative of r(d) wrt d?
-6*d**2
Let q(p) be the first derivative of p**4 - 2*p**3 + 3 + 4*p**3 - p**3 + 1. Find the third derivative of q(i) wrt i.
24
Let g(j) be the third derivative of -j**3/6 + 2*j**2. Let s(h) = -3*h**3 - 7. Suppose -4*k = 17 + 7. Let p(r) = k*g(r) + s(r). Differentiate p(t) wrt t.
-9*t**2
Let m(d) be the first derivative of 4*d**3/3 - 2*d - 2. Differentiate m(w) wrt w.
8*w
Let n(v) = -v**3 - 3*v**2 - v. Let b be n(-3). Let g be 6/(-8)*(0 - 4). Find the third derivative of -2*t**2 + 3*t**2 + t**b - t**5 - t**g wrt t.
-60*t**2
Let q(r) be the second derivative of 13*r**4/6 - 5*r**3/6 + 15*r. What is the second derivative of q(h) wrt h?
52
Let o(s) = -2*s - 4. Let t be o(-3). Let r(p) be the first derivative of -2 - 1/2*p**4 + 2/3*p**3 + 0*p**t + 0*p. What is the third derivative of r(i) wrt i?
-12
Let g(u) be the first derivative of u**6/30 - u**3/6 - 5*u**2/2 - 1. Let p(s) be the second derivative of g(s). Differentiate p(m) with respect to m.
12*m**2
Let b(u) = -5*u**3 - u**2 - 3*u. Let d(l) = -l**2 - l. Let h(j) = b(j) - 3*d(j). What is the third derivative of h(g) wrt g?
-30
Let d(z) = z**2 + 2. Let b be d(0). Differentiate 5 + 9*n**2 + n**b - 3*n**2 wrt n.
14*n
Find the third derivative of -19*n**2 + n**5 - 15*n**2 + 7*n**2 - 41*n**5 wrt n.
-2400*n**2
Suppose 2 = -2*i, 3*c - 11 = -2*c + i. Let z be 76/18 - (-2)/(-9). Differentiate -3*n**3 + 4*n**2 - z*n**c + 2 wrt n.
-9*n**2
Let u(y) = 24*y**2 + 3*y - 9. Let c(k) = 12*k**2 + 2*k - 5. Let p(f) = 9*c(f) - 5*u(f). Find the second derivative of p(o) wrt o.
-24
Let b(u) = -u**2 + 8*u - 10. Let k be b(4). Let h be 2 + (1 - (1 - 0)). Find the second derivative of 6 + h*w - k - w**4 wrt w.
-12*w**2
Let g(h) be the second derivative of 0 - 6*h + 2*h**2 - 2/3*h**3. Differentiate g(s) with respect to s.
-4
Let y be (6/5)/((-3)/15). Let z be (y/2)/(3/(-2)). Find the third derivative of 2*o**z - o**4 + 0*o**4 - 6*o + 6*o wrt o.
-24*o
Let a(o) = -4*o**3 - 3*o**2 + 2*o - 2. Let r(d) = -3*d**3 - 3*d**2 + 3*d - 3. Let p(l) = 3*a(l) - 2*r(l). Find the third derivative of p(u) wrt u.
-36
What is the second derivative of 11*n + 14*n + 4*n + 5*n**2 wrt n?
10
Let a(m) = m**3 + 3*m**2 - 2*m - 3. Let n be a(-3). What is the derivative of -3*d - d + 0*d + n*d - 1 wrt d?
-1
Let n(f) = -42*f**4 + 3*f**2 + 2*f - 11. Let d(o) = -43*o**4 + 4*o**2 + 3*o - 10. Let x(y) = -3*d(y) + 4*n(y). Differentiate x(v) with respect to v.
-156*v**3 - 1
Let z(g) be the third derivative of 5*g**7/42 - 8*g**3/3 + 34*g**2. What is the derivative of z(t) wrt t?
100*t**3
Let s = -1 - -1. Let q(w) be the third derivative of 0*w**3 + 1/30*w**5 + 1/120*w**6 + 0 - 2*w**2 + s*w**4 + 0*w. Find the third derivative of q(a) wrt a.
6
Suppose 5*q + 5 + 15 = 4*f, 2*q + 12 = 2*f. Let y = f - 6. What is the second derivative of -28 + 28 - y*z - 4*z**2 wrt z?
-8
Let g(r) = 14*r**3 - 6*r**2 - 39*r. Let l(d) = -13*d**3 + 5*d**2 + 38*d. Let a(z) = -5*g(z) - 6*l(z). What is the second derivative of a(t) wrt t?
48*t
Let l(n) be the first derivative of 24*n**7/7 - 17*n**3/3 + 34. Find the third derivative of l(w) wrt w.
2880*w**3
Let q be (2 + -20)*1/(-2). What is the third derivative of 2*b**5 + 2*b**5 - 10*b**2 + q*b**2 wrt b?
240*b**2
Let s(w) be the first derivative of -w**9/378 - w**5/24 + 7*w**3/3 + 5. Let d(b) be the third derivative of s(b). Find the second derivative of d(h) wrt h.
-160*h**3
Let l(u) be the third derivative of -55*u**4/24 - 19*u**3/3 + u**2 + 11*u. What is the derivative of l(h) wrt h?
-55
Let r(u) = -17*u**4 + 2*u**2 + 2*u - 13. Let g(j) = -50*j**4 + 7*j**2 + 7*j - 40. Let y(t) = 2*g(t) - 7*r(t). What is the first derivative of y(p) wrt p?
76*p**3
Let t(i) be the second derivative of 4*i**6/15 - 10*i**2 - 3*i. What is the first derivative of t(b) wrt b?
32*b**3
Let c(p) be the third derivative of 2*p**5/15 - 5*p**4/24 + 2*p**3/3 + 47*p**2. What is the second derivative of c(u) wrt u?
16
Find the second derivative of z + z**3 + | {
"pile_set_name": "DM Mathematics"
} |
- 487*b = 60 for b.
-10
Solve -24*x - 672 = 76*x + 728 for x.
-14
Solve -71*z - 5*z + 401 = -1727 for z.
28
Solve -270 - 273 + 120 = 47*c for c.
-9
Solve -1855*p = 1858*p - 3709*p - 64 for p.
16
Solve 0 = 34*m + 88 + 490 for m.
-17
Solve -117330*j = -117384*j + 756 for j.
14
Solve 0 = -746*l + 602*l + 3456 for l.
24
Solve 46*w + 3*w = -109*w - 632 for w.
-4
Solve -77*f + 1500 = 116*f + 107*f for f.
5
Solve 1122*v + 16142 = 11125 - 17423 for v.
-20
Solve 63*l - 214*l = 436 + 319 for l.
-5
Solve 40*v - 27 = -11 + 24 for v.
1
Solve -15*o = 19 - 49 for o.
2
Solve -19003*m + 72 = -18995*m for m.
9
Solve -502*f - 209*f = 14220 for f.
-20
Solve -29*g - 8*g - 1248 = -193*g for g.
8
Solve 181*a + 320 = 201*a for a.
16
Solve -660 = -42*s + 159 + 273 for s.
26
Solve -1091 = 207*b + 151 for b.
-6
Solve -86*p - 2697 = 61*p - 54*p for p.
-29
Solve 2067 = 823*h + 1987 - 4035 for h.
5
Solve -41*p - 177 - 261 = 177 for p.
-15
Solve -40*l = -366 - 274 for l.
16
Solve 16*f = 7*f - 79*f + 176 for f.
2
Solve -7*n + 112 - 2 = 15*n for n.
5
Solve 800*o - 99 = 789*o for o.
9
Solve 311*s + 3089 = 290 for s.
-9
Solve -2 + 9 - 16 = -3*k for k.
3
Solve -22*v + 39*v = -3*v + 100 for v.
5
Solve 4628*l - 4467*l - 966 = 0 for l.
6
Solve 0 = -23*d + 95072 - 95141 for d.
-3
Solve -1923 = -101*n + 602 for n.
25
Solve -97*x - 1354 - 773 = 7 for x.
-22
Solve 781*z = -3547 - 14416 for z.
-23
Solve -62 + 148 = 60*q - 994 for q.
18
Solve 26*a - 55*a = 47*a - 760 for a.
10
Solve 32*q + 270 = 5*q for q.
-10
Solve -50 = -z - 40*z - 1075 for z.
-25
Solve -3899 = -155*x - 334 for x.
23
Solve -350 = 145*p + 51 + 34 for p.
-3
Solve 34*b = 82 - 50 + 750 for b.
23
Solve 0 = -105*a - 10*a - 986 + 181 for a.
-7
Solve -1043*w + 4191 = -662*w for w.
11
Solve -71*v = -13*v - 15*v + 258 for v.
-6
Solve 0 = -1533*p + 1638*p + 1050 for p.
-10
Solve 18*b + 47*b = -20*b + 850 for b.
10
Solve 280*r - 889 + 532 - 1883 = 0 for r.
8
Solve 23*j - 40 = 17*j - 4*j for j.
4
Solve 50*r = 11*r - 156 for r.
-4
Solve -6713*i + 7272*i + 1118 = 0 for i.
-2
Solve -45*w + 8 = -48*w + 17 for w.
3
Solve -4*r = -5428 + 5316 for r.
28
Solve 5981*l - 58 = 6010*l for l.
-2
Solve -3901*q = -3929*q - 476 for q.
-17
Solve -132*r - 12*r - 288 = 0 for r.
-2
Solve 0 = 136*i - 1076 - 100 + 224 for i.
7
Solve 2361*f = 26631 + 22950 for f.
21
Solve -264366 + 265675 = -77*h for h.
-17
Solve 164*q = -197*q - 8664 for q.
-24
Solve -34252 = 29*r - 34513 for r.
9
Solve 588 = -88*t + 2701 + 1055 for t.
36
Solve 675 = 5782*m - 5707*m for m.
9
Solve 0 = 254*d - 189*d + 1495 for d.
-23
Solve 653*v - 799 - 9462 = 10635 for v.
32
Solve 54*z = -102 + 372 for z.
5
Solve -63*p + 344 = -56*p + 190 for p.
22
Solve -20*y - 14 = 51 + 35 for y.
-5
Solve -37*c + 81385 - 81829 = 0 for c.
-12
Solve 130282*o = 130255*o + 378 for o.
14
Solve 0 = 16*y - 446 + 638 for y.
-12
Solve -40727*f + 40669*f = -1508 for f.
26
Solve 541 + 259 = 80*m for m.
10
Solve -806*g + 374*g - 6912 = 0 for g.
-16
Solve -70*i + 148 = -144*i for i.
-2
Solve 28 = 20*i - 182 + 50 for i.
8
Solve 29104*a + 741 = 29065*a for a.
-19
Solve 484 = -69*u + 25*u for u.
-11
Solve -1078*o + 6720 + 10528 = 0 for o.
16
Solve -266 = -104*q - 1306 for q.
-10
Solve -417 = 81*l - 310*l + 41 for l.
2
Solve 0 = 57*u + 313 - 1567 for u.
22
Solve -121*h - 998 + 30 = 0 for h.
-8
Solve -30*q = -33*q + 26*q + 207 for q.
-9
Solve -149 - 110 = -49*l + 84 for l.
7
Solve 0 = 118*h - 294*h - 1760 for h.
-10
Solve 9183 - 8607 = 48*h for h.
12
Solve -118 = -107*b - 11 for b.
1
Solve 657*o + 6291 = -42*o for o.
-9
Solve 925*p = 1054*p + 2322 for p.
-18
Solve 37*j + 1254 - 218 = 0 for j.
-28
Solve -78 - 345 + 24 = -57*a for a.
7
Solve 65*r - 324 = -779 for r.
-7
Solve 101*t + 41*t + 1242 = 4*t for t.
-9
Solve -1314 = 171*w - 287*w + 189*w for w.
-18
Solve -69*u + 950 = -u - 43*u for u.
38
Solve 81 = -359*s + 368*s for s.
9
Solve 26*v + 784 = -58*v - 28*v for v.
-7
Solve 74*j - 43*j = 434 for j.
14
Solve -1 + 1 = 345*u for u.
0
Solve -359 - 1071 = 110*w for w.
-13
Solve -156*g - 1948 - 943 = -83 for g.
-18
Solve 532*w = -2606 - 2182 for w.
-9
Solve 0 = -75453*b + 75441*b + 48 for b.
4
Solve -34*q + 648 = 546 for q.
3
Solve 47*t = 18*t - 30*t + 826 for t.
14
Solve 17*j + 29 = -38 - 171 for j.
-14
Solve -49*p - 59587 + 60077 = 0 for p.
10
Solve -7*k + 1844 = 1893 for k.
-7
Solve 1111 = -45*w + 146*w for w.
11
Solve 516 = -225*p - 6009 for p.
-29
Solve -1843 = -110*b - 193 for b.
15
Solve 16*n + 158*n + 2896 = -2324 for n.
-30
Solve -10*x + 405*x + 350*x - 8940 = 0 for x.
12
Solve 0 = -81*j - 1335 + 1740 for j.
5
Solve -u = 10*u + 15*u + 494 for u.
-19
Solve 0 = -116*j - 217*j + 69*j - 6072 for j.
-23
Solve -28*x + 368 + 80 = 0 for x.
16
Solve 6*c - 8483 = -8531 for c.
-8
Solve 450 = -48*y - 2*y for y.
-9
Solve -485 - 72 - 450 = -53*k for k.
19
Solve -390*p = -323*p + 555*p + 11196 for p.
-18
Solve 19124*f = 19180*f - 280 for f.
5
Solve 19*b - 75 = 11*b - 17*b for b.
3
Solve -372*m + 157*m + 155*m + 360 = 0 for m.
6
Solve 79*h = -127*h + 1442 for h.
7
Solve 1473 - 1697 = -112*a for a.
2
Solve 925*x = 906*x - 114 for x.
-6
Solve -341*t + 8372 = -42*t for t.
28
Solve 0 = 23068*n - 23066*n + 6 for n.
-3
Solve 68*v + 2013 - 2557 = 0 for v.
8
Solve g + 1044 = 5*g + 1032 for g.
3
Solve 158 = 13516*c - 13595*c for c.
-2
Solve -100*r + 8458 = 7458 for r.
10
Solve -35*n + 7*n = -n + 378 for n.
-14
Solve -37*a = 127*a - 1312 for a.
8
Solve -2981 = 143*b - 836 for b.
-15
Solve -20*t - 2*t - 5*t = 351 for t.
-13
Solve -183*m + 705 = -759 for m.
8
Solve -43*b + 66 - 26 = -132 for b.
4
Solve -60*o = -736 + 556 for o.
3
Solve 328*s + 303*s = 156 - 787 for s.
-1
Solve -11268 = -760*l - 492*l for l.
9
Solve -9*j = 15*j - 33*j - 27 for j.
-3
Solve -17*p = -4729 + 4542 for p.
11
Solve 69*y + 285 = 699 for y.
6
Solve -20*t + 16240 - 16340 = 0 for t.
-5
Solve 32 = 322*v - 744 - 834 for v.
5
Solve 59*n + 63 = 112 - 108 for n.
-1
Solve 1489 = -10*m + 1519 for m.
3
Solve 2257*t - 2826 = 2414*t for t.
-18
Solve 0 = 18472*d - 18454*d - 18 for d.
1
Solve 116*s - 76*s - 176 = 144 for s.
8
Solve 6708 = 518*y + 1139 - 12043 for y.
34
Solve 156 - 144 = -3*i for i.
-4
Solve 27199 = -3*c + 27202 for c.
1
Solve -2*x - 28 = -2*x + 7*x for x.
-4
Solve -72*y = 51 - 411 for y.
5
Solve -1702 + 422 = 160*n - 32*n for n.
-10
Solve 0 = 161*n + 285 - 607 for n.
2
Solve 0 = -60*r - 4*r for r.
0
Solve 122*p - 3179 = -12*p - 53*p for p.
17
Solve 485 = 271*r + 4821 for r.
-16
Solve 2136 = -228*w - 1968 for w.
-18
Solve -235*n = 173*n - 11*n - 9528 for n.
24
Solve -48*i - 43 = -9*i - 43 for i.
0
Solve -435*j + 2755 = 951 - 3416 for j.
12
Solve 1357*m - 1237*m - 2280 = 0 for m.
19
Solve 0 = 589*n - 565*n - 72 for n.
3
Solve -371*d - 42*d - 32550 = 517*d for d.
-35
Solve -438*k - 1039 - 1427 = -714 for k.
-4
Solve 31*m - 3031 + 2907 = 0 for m.
4
Solve -234*g + 222*g = -24 for g.
2
Solve 521 = -4*j + 581 for j.
15
Solve 9444 = -435*n - 2705 + 839 for n.
-26
Solve 16*x = 107 - 20 + 25 for x.
7
Solve 0 = 32*q + 2990 - 3886 for q.
28
Solve 318*h = 403*h + 1105 for h.
-13
Solve -12*b = 15 + 134 - 5 for b.
-12
Solve -231*b = -596*b - 4261 - 484 for b.
-13
Solve -126*o = -189*o - 819 for o.
-13
Solve 241*l + 1547 = 122*l for l.
-13
Solve -104 = i - 109*i + 220 for i.
3
Solve -19*j - 73*j = 84*j - 2288 for j.
13
Solve 30*g - 45*g - 55*g = 1190 for g.
-17
Solve 264 - 204 = -26*i - 200 for i.
-10
Solve 1282 = 230*l - 328 for l.
7
Solve 97*c + 560 = 178*c - 116*c for c.
-16
Solve -41*k - 40*k = 10*k + 455 for k.
-5
Solve 1432 - 360 = 67*s for s.
16
Solve 66*p - 1434 = -147*p - 369 for p.
5
Solve 3*m - 20*m = 13*m - 180 for m.
6
Solve 0 = 323*g - 299*g - 672 + 48 for g.
26
Solve -1659 + 3549 - 534 = 113*h for h.
12
Solve -31*b + 463 - 85 + 211 = 0 for b.
19
Solve 146*z + 507 = 69 for z.
-3
Solve 16*d - 77 + 126 + 79 = 0 for d.
-8
Solve 23*t - 65*t + 168 = 0 for t.
4
Solve 203*c + 75*c = -31*c - 309 for c.
-1
Solve -52*s + 108*s - 55*s = -2 for s.
-2
Solve 139*p - 923 = 2135 for p.
22
Solve -92 = -24*x + 244 for x.
14
Solve 291*c - 1480 = 328*c for c.
-40
Solve 0 = 193*q - 120*q - 140*q + 201 for q.
3
Solve -524 = -22*q + 605 - 1261 for q.
-6
Solve -40*c + 12 = -183 - 5 for c.
5
Solve 108 = 70*j - 32 for j.
2
Solve 303*o + 2704 = 199*o for o.
-26
Solve 4077 - 10973 = 399*v + | {
"pile_set_name": "DM Mathematics"
} |
derivative of v**2 - 5*v**4 - 4*v**2 + 4*v**o wrt v.
-120*v
Suppose -5*v = -31 + 6. What is the third derivative of -9*t**2 + 4*t**2 + t**v - 2*t**3 + 2*t**3 wrt t?
60*t**2
Let a(v) be the first derivative of 4*v**3/3 - 4*v + 6. Find the first derivative of a(z) wrt z.
8*z
Let y(t) be the second derivative of -11*t**5/20 + 19*t**4/12 + 3*t. Find the third derivative of y(s) wrt s.
-66
Let s = 4 - 0. Find the second derivative of -8*j + 3*j**4 + 0*j**s + 7*j wrt j.
36*j**2
Let v be (4/3)/(4/6). What is the second derivative of -2*i + v*i + i + i**2 + i wrt i?
2
Let z(y) = y**3 + 9*y**2 + 8*y + 2. Let b be z(-8). Let h = 2 + b. Find the second derivative of -d**4 - d**4 + 2*d**h - 2*d - 3*d**4 wrt d.
-36*d**2
Let w(s) be the second derivative of s**8/560 - s**6/90 + s**3/2 + 2*s. Let i(f) be the second derivative of w(f). Find the third derivative of i(b) wrt b.
72*b
Let k be 6*((3 - 7)/8 + 1). Let v(p) be the first derivative of -3*p + 0*p**3 + k + 0*p**2 + 3/4*p**4. Differentiate v(o) with respect to o.
9*o**2
Let q(s) = 4*s. Let l(h) = -h + 1. Let a(i) = 9 + 4*i + 2*i - 5*i. Let n be a(-7). Let f(j) = n*l(j) + q(j). Find the first derivative of f(r) wrt r.
2
What is the derivative of 2*s**2 + 10*s**4 + 7 + 2*s**2 - 4*s**2 wrt s?
40*s**3
Suppose b - f - 17 = 4*f, 9 = -3*f. Suppose -t + b = -0*t. Differentiate -2*z**t + 6 - 7 - z**2 with respect to z.
-6*z
Find the third derivative of -19*s**2 + 0*s**3 - 5*s**3 + 16*s**2 wrt s.
-30
Let f(o) be the first derivative of -55*o**7/7 + o**3 + o**2 - 3. Find the third derivative of f(h) wrt h.
-6600*h**3
Let o(n) be the first derivative of -4*n**2 + 2*n - 8. What is the first derivative of o(x) wrt x?
-8
What is the third derivative of -49*d**2 - 7*d**3 + 2*d**4 + 7*d**3 - 14*d**4 wrt d?
-288*d
Find the third derivative of -4*s**2 + s**4 - 5*s**4 + 2*s**4 wrt s.
-48*s
What is the second derivative of 2*l**2 + 4*l - 8*l + 2*l**2 - 12*l wrt l?
8
Let f(k) be the third derivative of 0*k**4 + 0*k**6 + 0*k**3 + 1/336*k**8 + 1/30*k**5 + k**2 + 0 + 0*k + 0*k**7. Find the third derivative of f(s) wrt s.
60*s**2
Let h(s) be the first derivative of 28*s**2 - 25*s + 8. Differentiate h(u) with respect to u.
56
Let o = 586 + -11717/20. Let w(b) be the second derivative of 0*b**4 + 1/2*b**3 + b - o*b**5 + 0*b**2 + 0. Find the second derivative of w(g) wrt g.
-18*g
Let d(i) = -47*i**2 - 7*i - 6. Let p(z) = -48*z**2 - 8*z - 8. Let k(x) = -5*d(x) + 4*p(x). What is the second derivative of k(w) wrt w?
86
What is the derivative of 1 + 19 - 8 - 6*t**4 wrt t?
-24*t**3
Let r(l) = -l**3 - l. Let o be r(-1). Find the third derivative of -8*h**o - 5*h + 5*h + 0*h - 2*h**6 wrt h.
-240*h**3
Let d(r) = -3*r**5 - 5*r**3 + 19*r + 5. Let i(j) = 2*j**5 + 6*j**3 - j**2 - 20*j - 6. Let o(s) = 6*d(s) + 5*i(s). Find the second derivative of o(q) wrt q.
-160*q**3 - 10
Let c(t) be the first derivative of t**5/30 - t**4/3 + 7*t**2/2 - 7. Let y(w) be the second derivative of c(w). What is the second derivative of y(p) wrt p?
4
Let u be (-1 + (2 - 2))*-1. What is the derivative of -u - 1 - 6*n**3 + 4*n**3 - 1 wrt n?
-6*n**2
Let c(s) = s**3 + s + 1. Let a(l) = 48*l**3 + 54*l + 8. Let p(j) = a(j) - 8*c(j). What is the second derivative of p(h) wrt h?
240*h
Suppose 4*f + 16 = -4*a, 2*a + 8 = 2*f + 2*f. Suppose 15 + f = 3*z. What is the second derivative of -2*k + 3*k**5 + 0*k - 4*k**z + 0*k**5 wrt k?
-20*k**3
Suppose -g - 1 + 4 = 0. Find the third derivative of -2*q**3 + 10*q - q**2 - 10*q + 12*q**g wrt q.
60
Let r(c) be the third derivative of 1/24*c**4 + 0 + 7/6*c**3 + 5*c**2 + 0*c. Find the first derivative of r(o) wrt o.
1
Let q(m) be the first derivative of -4*m - 3/2*m**4 + 0*m**2 + 3 + 0*m**3. What is the first derivative of q(t) wrt t?
-18*t**2
Let z = 3 + -5. Let b = z - -5. Differentiate 2*p**4 - p**4 + p**4 - b wrt p.
8*p**3
Let h(j) be the second derivative of 0 + 2/15*j**6 + 3*j + 0*j**5 + 0*j**2 - 1/3*j**3 + 0*j**4. What is the second derivative of h(w) wrt w?
48*w**2
Suppose 3*h = -0*h. Let n(w) be the third derivative of 0 + 0*w - 1/60*w**5 + 1/3*w**3 + 2*w**2 + h*w**4. Differentiate n(c) wrt c.
-2*c
Suppose -2*f + 4*r = 4 + 4, -3*r + 6 = -f. Suppose -2*l + 1 + 5 = f. Find the second derivative of -l*o + 7*o - 3*o**4 + 2*o**4 wrt o.
-12*o**2
Let w(n) be the second derivative of -n**5/30 + n**4/8 + 5*n**3/6 - n. Let b(d) be the second derivative of w(d). Find the first derivative of b(i) wrt i.
-4
Let t(f) be the third derivative of 1/24*f**4 - 3*f**2 + 0*f**3 + 0*f**5 + 1/30*f**6 + 0 + 0*f. Find the second derivative of t(c) wrt c.
24*c
Find the third derivative of -26*n**5 - 3*n**2 + 2*n**2 - 11*n**5 - 6*n**2 wrt n.
-2220*n**2
Let r(i) = -7*i**4 - 3*i**3 - 3*i**2. Let g(d) = -15*d**4 - 7*d**3 - 7*d**2 + d. Let q(b) = -3*g(b) + 7*r(b). What is the second derivative of q(v) wrt v?
-48*v**2
What is the third derivative of 4*g**2 + 19*g**5 - 40*g**2 + 26*g**2 + 23*g**2 wrt g?
1140*g**2
Let p(y) be the third derivative of -19*y**7/105 + 2*y**5/15 + 37*y**2. Find the third derivative of p(h) wrt h.
-912*h
Let y(k) be the third derivative of k**7/35 + 5*k**4/8 - 12*k**2. What is the second derivative of y(g) wrt g?
72*g**2
Let l(d) = -d - 2. Let k be l(-7). What is the second derivative of 3*m - m - 5*m**k + 2*m**5 wrt m?
-60*m**3
Let a(y) be the third derivative of -y**7/105 - 13*y**4/24 + 41*y**3/6 - y**2 + 7. Differentiate a(t) with respect to t.
-8*t**3 - 13
Let v(f) be the first derivative of -10 + 0*f**2 + 0*f**5 + 0*f + 4/3*f**3 + 8/7*f**7 + 0*f**4 + 0*f**6. Find the third derivative of v(a) wrt a.
960*a**3
Let r(k) = -12*k - 22. Let c(p) = -6*p - 11. Let u(o) = -7*c(o) + 3*r(o). What is the derivative of u(n) wrt n?
6
Let r(o) be the first derivative of 3 + 0*o - 2*o**2 + 5/4*o**4 + 0*o**3. What is the second derivative of r(m) wrt m?
30*m
Let i(n) = -84*n. Let u(p) = 13*p. Let t(k) = -5*i(k) - 32*u(k). Let v be t(1). What is the derivative of -v*q + 4*q + 3 - 3*q wrt q?
-3
Let d(b) = -b**3 + 8*b**2 - 4*b - 7. Let i be d(6). What is the third derivative of -i*f - f**2 + 41*f - 5*f**5 wrt f?
-300*f**2
Let w(i) be the third derivative of -i**9/252 + 3*i**5/20 - 12*i**2. What is the third derivative of w(q) wrt q?
-240*q**3
Let l(k) = -28*k**2 + 32. Let m(f) = 27*f**2 - 33. Let p(x) = -7*l(x) - 6*m(x). Differentiate p(n) wrt n.
68*n
Let n = 3 - 1. What is the third derivative of k**n + 0*k + k**6 + 0*k + 0*k wrt k?
120*k**3
Let x(i) be the second derivative of i**6/24 + i**5/30 - i**2/2 - 2*i. Let k(p) be the first derivative of x(p). What is the third derivative of k(j) wrt j?
30
What is the third derivative of -13*f**2 - 4*f**3 - 14*f**3 - 5*f**3 wrt f?
-138
Let q(w) = -w**2 - w - 1. Let i(a) = 7*a**2 + 11*a + 22. Let j(b) = 2*i(b) + 22*q(b). What is the derivative of j(c) wrt c?
-16*c
Let a(v) = -3*v - 1. Let q be a(-2). Find the second derivative of -f**q - 27 + 27 - 7*f wrt f.
-20*f**3
Find the third derivative of 10*h**2 + 11*h**5 - 83*h**4 + 83*h**4 wrt h.
660*h**2
Let c(h) be the third derivative of 2/15*h**5 + 0*h**4 + 0 - 7*h**2 + 1/6*h**3 + 0*h. What is the first derivative of c(g) wrt g?
16*g
Let o(i) be the second derivative of -7*i**4/6 - 18*i**2 + 25*i. What is the derivative of o(a) wrt a?
-28*a
Let h be (-5)/(-2) - (-3)/(-6). Find the second derivative of -p - 15 + 15 - h*p**5 wrt p.
-40*p**3
Let a be (3 - -2) + 10/(-5). What is the second derivative of -19*y - 2*y**4 + 22*y + a*y**4 wrt y?
12*y**2
Let c(l) be the third derivative of 0 + 0*l**5 + 1/6*l**3 + 1/120*l**6 - 3*l**2 + 0*l**4 + 0*l. Differentiate c(v) wrt v.
3*v**2
Find the second derivative of -10*z - 10*z - 21*z**3 + 4*z wrt z.
-126*z
Find the first derivative of 2*h**2 + 7*h**2 - 109*h + 109*h - 11 wrt h.
18*h
Let l = -8 - -13. What is the third derivative of -2*c**2 - 2*c**6 - 5*c**5 + l*c**5 wrt c?
-240*c**3
Differentiate -8*d + d + 26 - 3*d - 23 wrt d.
-10
Let f be (-3)/(-1) + (-6 - -5). Suppose f*u = -3*u + 10. Differentiate u*n**2 - n**2 - 5 - 53*n + 53*n wrt n.
2*n
Find the third derivative of 66*b**2 + 2*b**3 - 62*b**2 - 2*b**3 - 4*b**6 wrt b.
-480*b**3
Let u(q) = -25*q**2 + 5. Let m(c) = -51*c**2 + 10. Let h(j) = 3*m(j) - 7*u(j). Differentiate h(y) wrt y.
44*y
Let n(u) be the first derivative of -6*u**5/5 - u + 17. What is the derivative | {
"pile_set_name": "DM Mathematics"
} |
ose s**3/6 - 125*s**2/6 + 1984*s/3 - 1922/3 = 0. What is s?
1, 62
Determine q, given that 4*q**3 + 928*q**2 - 4*q - 928 = 0.
-232, -1, 1
Factor 3*o**2 + 636*o + 33708.
3*(o + 106)**2
Suppose -t**4/6 + t**3 + 4*t**2 + 13*t/3 + 3/2 = 0. Calculate t.
-1, 9
Factor 4*h**2 - 6976*h - 6980.
4*(h - 1745)*(h + 1)
Factor 2*q**4 + 4*q**3 - 126*q**2.
2*q**2*(q - 7)*(q + 9)
Factor -c**4/6 - c**3/2 + 2*c**2/3.
-c**2*(c - 1)*(c + 4)/6
Factor -2*w**2 - 80*w.
-2*w*(w + 40)
Factor -5*a**4 - 2250*a**3 - 255365*a**2 - 504000*a - 250880.
-5*(a + 1)**2*(a + 224)**2
Let b**5/6 + 11*b**4/6 + 47*b**3/6 + 97*b**2/6 + 16*b + 6 = 0. What is b?
-3, -2, -1
Factor 2*l**5 + 6*l**4 - 2*l**3 - 6*l**2.
2*l**2*(l - 1)*(l + 1)*(l + 3)
Factor -n**3/2 - 147*n**2/2 - 5475*n/2 - 5329/2.
-(n + 1)*(n + 73)**2/2
Suppose -3*z**3 + 99*z**2 - 621*z + 525 = 0. Calculate z.
1, 7, 25
Let 15*f**4 + 220*f**3 + 675*f**2 - 250*f = 0. What is f?
-10, -5, 0, 1/3
Factor -5*l**4 + 10*l**3 + 35*l**2 + 20*l.
-5*l*(l - 4)*(l + 1)**2
Determine n so that -2*n**3/3 - 22*n**2/3 + 2912*n/3 + 55432/3 = 0.
-26, 41
Let 48734420*v**2 - 31220*v + 5 = 0. What is v?
1/3122
Determine m so that m**5/9 - m**4/9 - 5*m**3/9 + 5*m**2/9 + 4*m/9 - 4/9 = 0.
-2, -1, 1, 2
What is j in 2*j**3/5 - 58*j**2/5 - 122*j/5 - 62/5 = 0?
-1, 31
Let -2*r**5/15 + 146*r**4/15 + 4*r**3/15 - 292*r**2/15 - 2*r/15 + 146/15 = 0. Calculate r.
-1, 1, 73
Factor -d**5/6 - 13*d**4/2 - 169*d**3/2 - 2197*d**2/6.
-d**2*(d + 13)**3/6
Suppose -87723*a**2/7 - 8208*a/7 - 192/7 = 0. What is a?
-8/171
Find k, given that 2*k**4 - 38*k**3 + 68*k**2 = 0.
0, 2, 17
Let -8*y**5 + 53*y**4 - 51*y**3 - 83*y**2 + 59*y + 30 = 0. What is y?
-1, -3/8, 1, 2, 5
Factor -2*y**3 + 72*y**2.
-2*y**2*(y - 36)
Solve 2*r**2/13 - 12*r + 234 = 0.
39
Find g such that 5*g**4/3 - 10*g**3/3 - 5*g**2/3 + 10*g/3 = 0.
-1, 0, 1, 2
Factor 3*t**4/4 + 85*t**3/4 - 59*t**2/4 - 29*t/4.
t*(t - 1)*(t + 29)*(3*t + 1)/4
Factor -3*i**3/5 + 2304*i**2/5 - 589824*i/5 + 50331648/5.
-3*(i - 256)**3/5
Factor 5*b**4 + 2515*b**3 + 423345*b**2 + 24123985*b + 46574630.
5*(b + 2)*(b + 167)**3
Determine y, given that -3*y**2/2 - 11007*y/2 = 0.
-3669, 0
Factor 2*b**3/9 - 2*b**2 - 44*b/9.
2*b*(b - 11)*(b + 2)/9
Suppose 2*m**2/7 + 272*m/7 - 160 = 0. Calculate m.
-140, 4
Factor -2*x**4 - 26*x**3 + 90*x**2 - 94*x + 32.
-2*(x - 1)**3*(x + 16)
Solve -2*i**2/3 - 816*i + 2450/3 = 0 for i.
-1225, 1
Find j such that -2*j**2 + 136*j - 264 = 0.
2, 66
Find b such that 147*b**3/8 - 399*b**2/8 - 123*b/8 - 9/8 = 0.
-1/7, 3
Factor 3*c**4/5 - 18*c**3/5 - 81*c**2/5 + 324*c/5 + 972/5.
3*(c - 6)**2*(c + 3)**2/5
Solve c**3/3 + c**2/3 - 10*c/3 + 8/3 = 0 for c.
-4, 1, 2
Determine o, given that 5*o**5/2 - 55*o**4/2 + 165*o**3/2 - 185*o**2/2 + 35*o = 0.
0, 1, 2, 7
Solve -4*d**4/5 + 12*d**3 - 208*d**2/5 + 48*d/5 + 64 = 0 for d.
-1, 2, 4, 10
Factor 2*r**4/11 + 648*r**3/11 + 646*r**2/11.
2*r**2*(r + 1)*(r + 323)/11
Suppose -l**2/4 - 19*l/4 + 140 = 0. Calculate l.
-35, 16
Factor -43*n**3/3 - 14*n**2 + n/3.
-n*(n + 1)*(43*n - 1)/3
Let 5*o**4 - 260*o**3 + 480*o**2 + 1040*o - 2000 = 0. Calculate o.
-2, 2, 50
Let 2*o**4/11 + 56*o**3/11 + 372*o**2/11 + 584*o/11 + 266/11 = 0. Calculate o.
-19, -7, -1
Suppose -l**2/5 - 8*l + 41/5 = 0. Calculate l.
-41, 1
Factor -m**4 + 140*m**3 - 277*m**2 + 138*m.
-m*(m - 138)*(m - 1)**2
Factor j**4 + 3*j**3 - 39*j**2 - 83*j - 42.
(j - 6)*(j + 1)**2*(j + 7)
Factor -2*k**3/7 - 26*k**2/7 - 110*k/7 - 150/7.
-2*(k + 3)*(k + 5)**2/7
Factor 2*b**3/13 + 74*b**2/13 + 134*b/13 - 210/13.
2*(b - 1)*(b + 3)*(b + 35)/13
Find g such that -2*g**5 + 56*g**4 - 170*g**3 - 3468*g**2 = 0.
-6, 0, 17
Determine d so that 4*d**3/3 - 61*d**2/3 - 64*d - 36 = 0.
-2, -3/4, 18
Solve -112*f**5 + 2768*f**4 + 6708*f**3 + 5440*f**2 + 1828*f + 216 = 0.
-1, -1/2, -2/7, 27
Let p**5/6 - 67*p**4/6 - 567*p**3/2 - 12593*p**2/6 - 15092*p/3 = 0. Calculate p.
-7, 0, 88
Factor v**5 - 163*v**4 + 7483*v**3 - 68881*v**2 + 205960*v - 144400.
(v - 76)**2*(v - 5)**2*(v - 1)
Let -y**2/4 - 31*y/4 - 15/2 = 0. What is y?
-30, -1
Suppose -2*s**4 + 54*s**3 + 468*s**2 - 13816*s - 29040 = 0. What is s?
-15, -2, 22
Find u, given that 12*u**5 + 128*u**4 + 464*u**3 + 640*u**2 + 256*u = 0.
-4, -2, -2/3, 0
Find i such that -i**3/3 - 4*i**2/3 = 0.
-4, 0
Determine t so that -6*t**4 + 549*t**3 + 837*t**2 + 3*t - 279 = 0.
-1, 1/2, 93
Factor -5*a**3 - 190*a**2 - 2365*a - 9680.
-5*(a + 11)**2*(a + 16)
What is g in 150*g**5 - 2410*g**4/3 + 712*g**3/3 + 472*g**2/3 - 160*g/3 = 0?
-4/9, 0, 2/5, 5
Suppose 12*r**3/5 - 171*r**2/5 - 27*r = 0. Calculate r.
-3/4, 0, 15
Let -16*d**2/9 - 58*d/9 + 8/3 = 0. What is d?
-4, 3/8
Factor n**2 + 9*n + 8.
(n + 1)*(n + 8)
Find v such that 4*v**4 + 32*v**3 + 72*v**2 + 64*v + 20 = 0.
-5, -1
Suppose 4*d**3 + 60*d**2 - 4*d - 60 = 0. Calculate d.
-15, -1, 1
Find n, given that -18*n**4/13 - 14*n**3/13 + 4*n**2/13 = 0.
-1, 0, 2/9
Let x**3 - 1026*x**2/5 + 245*x - 204/5 = 0. Calculate x.
1/5, 1, 204
Find m, given that m**3/5 + 124*m**2/5 + 73*m + 242/5 = 0.
-121, -2, -1
Factor -2*u**5/5 + 16*u**3/5 - 32*u/5.
-2*u*(u - 2)**2*(u + 2)**2/5
Solve l**2 - 190*l = 0.
0, 190
Let -120*u**2 + 124*u - 4 = 0. Calculate u.
1/30, 1
Determine y so that y**5/2 + 16*y**4/3 + 115*y**3/6 + 25*y**2 + 16*y/3 - 16/3 = 0.
-4, -2, -1, 1/3
Factor -y**4 + 5*y**3 - y**2 - 21*y + 18.
-(y - 3)**2*(y - 1)*(y + 2)
Factor -w**2/5 - 411*w/5 - 82.
-(w + 1)*(w + 410)/5
Suppose -4*n**2/5 - 204*n/5 = 0. What is n?
-51, 0
Find h, given that -h**5/7 - 3*h**4/7 + 25*h**3/7 + 27*h**2/7 - 108*h/7 - 108/7 = 0.
-6, -2, -1, 3
Let 4*g**2 - 252*g + 1368 = 0. Calculate g.
6, 57
Factor 8*o**3/5 + 17*o**2 - 33*o/5.
o*(o + 11)*(8*o - 3)/5
Solve -2*l**3/5 + 74*l**2/5 + 64*l + 328/5 = 0.
-2, 41
Factor 28*r**2 + 664*r - 192.
4*(r + 24)*(7*r - 2)
What is r in 2*r**4/3 - 28*r**3 - 2*r**2/3 + 28*r = 0?
-1, 0, 1, 42
Factor t**3/9 + 39*t**2 + 10325*t/3 + 30625/9.
(t + 1)*(t + 175)**2/9
Let 5*b**2 - 7620*b + 2903220 = 0. What is b?
762
Factor -2*t**2/21 - 16*t/21 - 32/21.
-2*(t + 4)**2/21
Find g such that g**5/3 - g**4 - 55*g**3/3 + 115*g**2/3 + 18*g - 112/3 = 0.
-7, -1, 1, 2, 8
Factor b**4 - 5*b**3 - 3*b**2 + 13*b + 10.
(b - 5)*(b - 2)*(b + 1)**2
Factor a**3 + 310*a**2 - 1256*a.
a*(a - 4)*(a + 314)
Factor 5*y**4 - 220*y**3 + 1990*y**2 - 5900*y + 4125.
5*(y - 33)*(y - 5)**2*(y - 1)
Factor h**4 + 16*h**3 + 74*h**2 + 56*h - 147.
(h - 1)*(h + 3)*(h + 7)**2
Let j**5/2 + 39*j**4 + 223*j**3/2 - 81*j**2 - 454*j - 300 = 0. Calculate j.
-75, -2, -1, 2
Factor 2*m**2/17 + 8*m/17 + 8/17.
2*(m + 2)**2/17
What is a in -5*a**5 + 15*a**4 + 130*a**3 - 390*a**2 - 125*a + 375 = 0?
-5, -1, 1, 3, 5
Factor -i**2/3 + 334*i + 1003/3.
-(i - 1003)*(i + 1)/3
Let -v**3/6 + 23*v**2/6 + 25*v/3 = 0. Calculate v.
-2, 0, 25
What is k in 2*k**3/7 - 76*k**2/7 - 722*k/7 - 92 = 0?
-7, -1, 46
Factor 2*q**5/11 - 42*q**4/11 + 288*q**3/11 - 640*q**2/11.
2*q**2*(q - 8)**2*(q - 5)/11
Find n such that 5*n**3 - 570*n**2 + 15660*n + 33640 = 0.
-2, 58
Factor 2*i**3 + 14*i**2 - 42*i - 54.
2*(i - 3)*(i + 1)*(i + 9)
Find d such that -3*d**4 - 3*d**3 + 27*d**2 + 27*d = 0.
-3, -1, 0, 3
Find d such that -363*d**4/4 + 23771*d**3/4 + 18473*d**2/2 - 1536*d - 4824 = 0.
-12/11, 2/3, 67
Factor c**4/3 - 110*c**3 + 9184*c**2 - 53792*c/3.
c*(c - 164)**2*(c - 2)/3
Factor k**3 + 62*k**2/3 + 292*k/3 + 56.
(k + 6)*(k + 14)*(3*k + 2)/3
Factor -2*i**3 + 6*i**2 + 18*i + 10.
-2*(i - 5)*(i + 1)**2
Find t such that 4*t**5 - 16*t**4 - 76*t**3 + 136*t**2 + 240*t - 288 = 0.
-3, -2, 1, 2, 6
Solve 3*d**5 - 717*d**4/4 - 1038*d**3 + 3687*d**2/4 + 585*d/2 = 0.
-6, -1/4, 0, 1, 65
Find j such that -33*j**3/5 + 36*j**2/5 - 3*j/5 = 0.
0, 1/11, 1
Factor 3*z**3 - 81*z**2 + 405*z + 2025.
3*(z - 15)**2*(z + 3)
Let -2*u**3/7 - 18*u**2/7 + 8*u/7 + 192/7 = 0. What is u?
-8, -4, 3
Determine x, given that 4*x**3 + 3108*x**2 + 602172*x - 605284 = 0.
-389, 1
Determine h so that h**4/6 + h**3/2 - h**2/2 - 7*h/6 + 1 = 0.
-3, -2, 1
Factor 2*n**2 - 8*n.
2*n*(n - 4)
Factor -n**5 - 53*n**4 - 522*n**3 - 1130*n**2 + 4475*n + 15375.
-(n - 3)*(n + 5)**3*(n + 41)
Solve -4*t**5/7 + 60*t**3/7 - 40*t**2/7 - 96*t/7 = 0.
-4, -1, 0, 2, 3
Suppose -5*t**4 + 65*t**3 - 55*t**2 - 65*t + 60 = 0. Calculate t.
-1, 1, 12
What is q in -10*q**4 - 29*q**3 - 17*q**2 + 2*q = 0?
-2, -1, 0, 1/10
Determine m, given that 2*m**3/13 - 94*m**2/13 + | {
"pile_set_name": "DM Mathematics"
} |
escending order.
80214, 4, 0
Put -1/4, -3/7, -8785/6, -4/5 in ascending order.
-8785/6, -4/5, -3/7, -1/4
Sort 592, 1034, 5.
5, 592, 1034
Put 216, 163, 8 in ascending order.
8, 163, 216
Sort -2/5, 0, -3, -161, -1, -12 in increasing order.
-161, -12, -3, -1, -2/5, 0
Sort 31675, 5/2, 0 in increasing order.
0, 5/2, 31675
Put 896, 1, -1, 5 in descending order.
896, 5, 1, -1
Sort 0, -55, 5, 97.
-55, 0, 5, 97
Put 5, 1, 2, -1, 0, 3381 in decreasing order.
3381, 5, 2, 1, 0, -1
Sort 4, -291, 5, 66, 2 in descending order.
66, 5, 4, 2, -291
Put 7, 2267, -4 in descending order.
2267, 7, -4
Sort -0.4, -5, -522, -1 in increasing order.
-522, -5, -1, -0.4
Put 1.3, 1, -2, -5/6, -0.5, -4 in descending order.
1.3, 1, -0.5, -5/6, -2, -4
Sort -8, 62/259, 0, 0.1.
-8, 0, 0.1, 62/259
Put -13, -4, -126, 0 in decreasing order.
0, -4, -13, -126
Put -4, -124000, 3, 0 in decreasing order.
3, 0, -4, -124000
Sort -14, -56, 2, 4, 5, 3.
-56, -14, 2, 3, 4, 5
Sort 3, 0, 5, -180 in ascending order.
-180, 0, 3, 5
Put -4/3, 1, -5, -147, 0.6 in descending order.
1, 0.6, -4/3, -5, -147
Put -35252, -4, 4 in increasing order.
-35252, -4, 4
Sort 362771, 2, -2.
-2, 2, 362771
Put 11, 3, 83, 0, -2 in decreasing order.
83, 11, 3, 0, -2
Put -3.063, 23, -2/9 in ascending order.
-3.063, -2/9, 23
Put -6, -193, -2 in descending order.
-2, -6, -193
Sort -6, -1, 514.
-6, -1, 514
Put 7222, 4, 130 in decreasing order.
7222, 130, 4
Sort -1, 50, 0, 3, 1, -96 in descending order.
50, 3, 1, 0, -1, -96
Sort 0, 3, 3/232, 5/2, -4, -3.
-4, -3, 0, 3/232, 5/2, 3
Put 3, 22, 5, -4 in descending order.
22, 5, 3, -4
Sort -6, -0.4, 4, -93/4 in descending order.
4, -0.4, -6, -93/4
Put 2/55, 26, -0.4, -1, -4/41 in descending order.
26, 2/55, -4/41, -0.4, -1
Sort 1338, 2, 1, -5, -3 in decreasing order.
1338, 2, 1, -3, -5
Put 3, 4, -11, -2/7, -11/3, 1/2 in decreasing order.
4, 3, 1/2, -2/7, -11/3, -11
Put 16, -712, -27 in decreasing order.
16, -27, -712
Sort -3, 3/4, 2, 516, -2/233 in decreasing order.
516, 2, 3/4, -2/233, -3
Sort -8, 1, 183 in descending order.
183, 1, -8
Sort -2, -506, 2, -1 in descending order.
2, -1, -2, -506
Sort -2/13, -4451, 20 in ascending order.
-4451, -2/13, 20
Sort 4, -3, -1145 in descending order.
4, -3, -1145
Put 5, 4, 71, 6, 118 in increasing order.
4, 5, 6, 71, 118
Put -4, 0, 5, 2, 22, -163 in decreasing order.
22, 5, 2, 0, -4, -163
Sort 5, 14, 4406 in decreasing order.
4406, 14, 5
Sort 21171, 2/13, -3.
-3, 2/13, 21171
Put 1, 32, 62, 7, -10 in decreasing order.
62, 32, 7, 1, -10
Put -10, -1, 11, 5, -9, 56 in increasing order.
-10, -9, -1, 5, 11, 56
Sort 7, -3, 3, 30, 4.
-3, 3, 4, 7, 30
Sort -4, 2722, -5 in increasing order.
-5, -4, 2722
Put -71, 7, -3, -1, 0.1, -5 in increasing order.
-71, -5, -3, -1, 0.1, 7
Put -4, 28, 4, -1, 20, -5 in descending order.
28, 20, 4, -1, -4, -5
Sort -0.01, 2/37, 2/9, 23, 2/7.
-0.01, 2/37, 2/9, 2/7, 23
Sort 2, 0.8, 1/9, 128/3, -0.4 in increasing order.
-0.4, 1/9, 0.8, 2, 128/3
Sort 3, 102/805, 0.2, 1/3.
102/805, 0.2, 1/3, 3
Sort 5, 1091, 258 in descending order.
1091, 258, 5
Sort -0.17, -53637, 3 in ascending order.
-53637, -0.17, 3
Put -3/2, 16/35, 1, -58 in decreasing order.
1, 16/35, -3/2, -58
Put -83, 2, -3274, 0.2, 0.3 in ascending order.
-3274, -83, 0.2, 0.3, 2
Sort -44, 3, 0, 14, -5 in descending order.
14, 3, 0, -5, -44
Sort -53, -1, 0, -4, -15, 22 in ascending order.
-53, -15, -4, -1, 0, 22
Put -1/3, 0.15, -1674 in ascending order.
-1674, -1/3, 0.15
Sort -5, 105, -39, 1.
-39, -5, 1, 105
Put -7/8, -4/5, -81 in descending order.
-4/5, -7/8, -81
Put -11.8, 2/3, 2 in ascending order.
-11.8, 2/3, 2
Put -2/5, -8, 7 in increasing order.
-8, -2/5, 7
Sort 2, 3742, -5, 3, 0, -3 in increasing order.
-5, -3, 0, 2, 3, 3742
Sort -3, 222, 7, -4.
-4, -3, 7, 222
Put 35, 2, 0.0218, -0.1 in increasing order.
-0.1, 0.0218, 2, 35
Sort 13, -5, 24, -9 in ascending order.
-9, -5, 13, 24
Put -956, 0, 3, 13 in descending order.
13, 3, 0, -956
Put -20843, 7, -5, 0 in descending order.
7, 0, -5, -20843
Put 216, 4, 270 in ascending order.
4, 216, 270
Put 4, -4, 5, 2020, 2 in descending order.
2020, 5, 4, 2, -4
Put 0, 5, 82, 9, 4 in decreasing order.
82, 9, 5, 4, 0
Put -5, 18573, -2 in decreasing order.
18573, -2, -5
Put -8116, -4, -1, 3 in descending order.
3, -1, -4, -8116
Put -2/7, -2.09775, -0.3 in descending order.
-2/7, -0.3, -2.09775
Sort 3/2, -2, 1144, -0.1, 2/3 in decreasing order.
1144, 3/2, 2/3, -0.1, -2
Sort 2, 3, -0.7, -4, -2, 912/17 in decreasing order.
912/17, 3, 2, -0.7, -2, -4
Sort -1, -54, -0.3, -2/5, 62.2, -2 in decreasing order.
62.2, -0.3, -2/5, -1, -2, -54
Sort 0.06, 300, -36.
-36, 0.06, 300
Sort -2/9, -1/2, 4415 in decreasing order.
4415, -2/9, -1/2
Put 24, -12, 8, 3 in descending order.
24, 8, 3, -12
Sort -1/11, -0.59, 1, -2/7, -4 in ascending order.
-4, -0.59, -2/7, -1/11, 1
Sort 0.21, 0, -2/5, 70, -1 in descending order.
70, 0.21, 0, -2/5, -1
Sort -13, 3, -18, 1 in decreasing order.
3, 1, -13, -18
Sort 3, 508, -0.7, -5 in descending order.
508, 3, -0.7, -5
Sort 0, 4, -367677.
-367677, 0, 4
Sort 16, 1/4, -1, -23, 0.89 in ascending order.
-23, -1, 1/4, 0.89, 16
Sort 3, -6, -2/9, 0, 2/17, -132/5.
-132/5, -6, -2/9, 0, 2/17, 3
Sort 1/2, 2/13, -0.44, -2/15, -8 in decreasing order.
1/2, 2/13, -2/15, -0.44, -8
Put 592, 32, -5, -4, -1 in ascending order.
-5, -4, -1, 32, 592
Sort -0.2, -0.061, 4, 62, -3 in descending order.
62, 4, -0.061, -0.2, -3
Sort 3705, -6, 3/2, 0.5 in descending order.
3705, 3/2, 0.5, -6
Sort 12002, -1/3, -1/5 in decreasing order.
12002, -1/5, -1/3
Sort -2, -4.5, -0.4, 2/7, 0.1, -1.
-4.5, -2, -1, -0.4, 0.1, 2/7
Sort 5, 0, 20, -4, 17 in increasing order.
-4, 0, 5, 17, 20
Sort 0.1, -5, 1/12, 5/46, 1/7, -1 in descending order.
1/7, 5/46, 0.1, 1/12, -1, -5
Sort 82914, -8, -2 in increasing order.
-8, -2, 82914
Sort 4, 2, -36, 1, -5, 28 in decreasing order.
28, 4, 2, 1, -5, -36
Sort 4, 0, -554, 5, -3, 1.
-554, -3, 0, 1, 4, 5
Put 0.18, 1/4, -1/8, -74.88 in increasing order.
-74.88, -1/8, 0.18, 1/4
Sort -1, -215, -22, -4 in descending order.
-1, -4, -22, -215
Put -26, -2, -2262 in decreasing order.
-2, -26, -2262
Put -0.4, -7.8, 40983 in ascending order.
-7.8, -0.4, 40983
Put -6, -17, 2, 5, -2, -40 in ascending order.
-40, -17, -6, -2, 2, 5
Sort -29, -39, 2, -1 in ascending order.
-39, -29, -1, 2
Put -1, 4, -2681, 99 in decreasing order.
99, 4, -1, -2681
Put 5, 8, 0, -3, -29 in decreasing order.
8, 5, 0, -3, -29
Put -2.1, -2, 2/7, -0.3, 0.5 in ascending order.
-2.1, -2, -0.3, 2/7, 0.5
Sort 279, 2, 832 in descending order.
832, 279, 2
Sort 1, -2/11, 2/7, -293 in descending order.
1, 2/7, -2/11, -293
Sort 1/5, -13, 0.0854 in decreasing order.
1/5, 0.0854, -13
Put 0, 20, -11, -92 in increasing order.
-92, -11, 0, 20
Put 0.1976, 25, 1/2, -1/6 in increasing order.
-1/6, 0.1976, 1/2, 25
Put -23, -18, 0.3, 555/8 in descending order.
555/8, 0.3, -18, -23
Sort -5, -1, -65, 0.5, -0.002 in increasing order.
-65, -5, -1, -0.002, 0.5
Sort -5, -213, 4, -261, -1.
-261, -213, -5, -1, 4
Sort 1, 4, -44, 81 in increasing order.
-44, 1, 4, 81
Sort -2/17, 0.02, -0.3, -2/35 in increasing order.
-0.3, -2/17, -2/35, 0.02
Sort -1.7, -4, 1416, 0.
-4, -1.7, 0, 1416
Put -0.6, 0.4413, 17, -0.4 in decreasing order.
17, 0.4413, -0.4, -0.6
Put -1, -671, 17, -5 in decreasing order.
17, -1, -5, -671
Sort 0, -557, -1, -31 in decreasing order.
0, -1, -31, -557
Sort 16, 1/8, -281 in descending order.
16, 1/8, -281
Sort 2, -2/22071, 0, -0.4, 0.5 in descending order.
2, 0.5, 0, -2/22071, -0.4
Sort -3, -2, 659, -10, -16, -1 in descending order.
659, -1, -2, -3, -10, -16
Put 6, -104, 0.3, 29/2 in increasing order.
-104, 0.3, 6, 29/2
Sort -0.3, -2, 3, 189/34.
-2, -0.3, 3, 189/34
Put -20, -2, 8, -4/551 in descending order.
8, -4/551, -2, -20
Sort -4/3, 1, 22, -0.07, -1/5, -2/9 in decreasing order.
22, 1, -0.07, -1/5, -2/9, -4/3
Put 9, -32, -1, 0, -2 in descending order.
9, 0, -1, -2, -32
Sort -19, -4, -1, -180, 27, -5 in increasing order.
-180, -19, -5, -4, -1, 27
Put 25, 0, 2/1263, -0.3 in increasing order.
-0.3, 0, 2/1263, 25
Put 91, 1/8, -2/10441 in ascending order.
-2/10441, 1/8, 91
Put -134, 5, -5, -0.2, 27 in descending order.
27, 5, -0.2, -5, -134
Sort 87, 22, 116 in decreasing order.
116, 87, 22
Put -3, -250, 5, 85 in ascending order.
-250, -3, 5, 85
Put -0.018, -1.158, -1 i | {
"pile_set_name": "DM Mathematics"
} |
r, 0, 2 in decreasing order.
2, 0, r
Let b be -1*(2 - 3) + -1 + -3. Let r(i) = i**2 + 3*i - 4. Let f be r(-3). Sort b, f, 1 in decreasing order.
1, b, f
Let d = 3 - 0. Let a(j) = j**2 + j**3 - 4*j + 5*j**2 - 3 - d*j**2. Let y be a(-4). Put 4, 0, y in ascending order.
y, 0, 4
Suppose -8 = a - 2*a - 2*q, -5*a = -4*q + 2. Suppose -4*b + 2 = -a. Put -2, -1, b in descending order.
b, -1, -2
Let u = 12.3 + -7. Let c = -13 + 18. Let f = u - c. Put -1/5, 1, f in decreasing order.
1, f, -1/5
Let q = 2 + -7. Let t = 1 - 0.6. Sort 3, q, t in ascending order.
q, t, 3
Let a = -18.7 + 19. Let w = 5 + -9. Put w, 2, a in increasing order.
w, a, 2
Suppose 5*x - 73 = -5*h - 8, 3*x = 3*h - 45. Sort h, 1/4, -0.4 in descending order.
h, 1/4, -0.4
Let p be -6 + 4 - 10/(-6). Put p, 5, 4 in descending order.
5, 4, p
Let d(j) = -3*j**2 + j. Let p be d(1). Let r = 59 - 58.5. Sort p, r, 0.1 in increasing order.
p, 0.1, r
Let f = 5 + -2. Let u be 1/f*24/4. Let v(c) = c + 1. Let a be v(0). Sort u, a, 0 in ascending order.
0, a, u
Let n be 5/((2 - 0) + -1). Suppose z + 8 = 3*k + 1, -n*z = -3*k + 11. Put -1, 5, k in descending order.
5, k, -1
Let c(b) = -3*b**2 + 7*b + 9. Let s(z) = z**2 + z + 1. Let r(l) = -c(l) - 4*s(l). Let m be r(-10). Sort -5, 4, m in descending order.
4, m, -5
Let h = 16 - 10. Let b = h - 5. Let t = b + -2. Sort 1, -3/2, t.
-3/2, t, 1
Suppose 3*h + 12 = 2*g, 0 = -2*g + 6*h - h + 16. Let o(r) = -2*r + 7. Let c be o(g). Sort c, -5, -1.
-5, -1, c
Suppose -4*w + 4 = -8. Put w, 2, 1 in ascending order.
1, 2, w
Suppose 0 = -5*p - 5*t + 30, -4*p - t + 9 = -0*t. Let g = -0.226 + 0.426. Sort p, g, -5 in ascending order.
-5, g, p
Let y = -12.81 + -0.19. Let w = y - -5. Let s = w + 6. Sort 1, -1, s.
s, -1, 1
Let a = -135 - -135. Let i be (1*2/8)/(-1). Put a, i, -1/9 in descending order.
a, -1/9, i
Suppose c + c + 10 = 0. Sort -4, c, -13 in ascending order.
-13, c, -4
Let w be (-2)/(-3) - (-2)/6. Let c(d) = -d**3 - 4*d**2 + d + 2. Let b be c(-4). Suppose k - 4 = -4*h + 3*h, 0 = -5*k + 5*h. Sort k, w, b.
b, w, k
Let g = -1.1 - -1. Let s = 0.25 + -0.3. Let p = s - -1.05. Sort p, -4, g.
-4, g, p
Suppose 12 = -x - 3*b + 1, -2*x + 6 = -b. Let k = -11 + 8. Let i be (k/(-6))/(1/(-8)). Sort -2, i, x in descending order.
x, -2, i
Suppose -5*f = 2*g + g + 5, 32 = 4*g - 3*f. Suppose -g*a - 4 - 6 = 0. Put 2, a, -5 in descending order.
2, a, -5
Let f = -5 - -5. Let z(c) = -c**2 - c + 1. Let y be z(f). Suppose 0 = 5*k - 10 - 0. Put -3, k, y in ascending order.
-3, y, k
Let y(n) = -6*n + 1. Let h be y(1). Let g(u) = 4*u - 2. Let a be g(-2). Let w = a - h. Put 3, -3, w in descending order.
3, -3, w
Let m(l) be the first derivative of -l**4/4 - l**2/2 + 2*l + 3. Let i be m(2). Let r be i/(-6)*1*-3. Sort r, 0, -1.
r, -1, 0
Let r = 3 + 2. Sort 1, 6, r in descending order.
6, r, 1
Let o(b) = -b**2 + 7*b + 10. Let m be o(8). Suppose -u - m = -0. Suppose -5*r + 2*r = 0. Put r, -5, u in decreasing order.
r, u, -5
Suppose -4*q - 32 = 4*h, -17 = 5*h + q + 3. Sort 1, h, -1 in descending order.
1, -1, h
Suppose 0 = u - c - 5, -3*u - 12 = -5*u + 4*c. Let g = 120 + -120. Put -2, u, g in descending order.
u, g, -2
Suppose -5*c - 15 = 5*m, -2*c + 5 + 1 = -m. Let b = 4 - c. Suppose -2*h + b*p + 20 = 0, 4*p + 2 + 10 = -h. Sort h, 0, 3 in increasing order.
0, 3, h
Let s(r) = -5*r. Let w(a) = 3*a. Let k(q) = 2*s(q) + 5*w(q). Let i be 0 + (-1)/(1*-1). Let c be k(i). Sort c, -4, 3.
-4, 3, c
Suppose 0*h - 10 = -2*h - 4*t, -h - 3*t + 7 = 0. Sort 3, -3, 0, h.
-3, 0, h, 3
Let d = -0.1 - -0.3. Suppose 1 = -p - 0. Put p, -1/4, d in descending order.
d, -1/4, p
Let k be ((-4)/(-30))/(-7*4/(-126)). Put k, 0, 1, -1/2 in decreasing order.
1, k, 0, -1/2
Let o be (-2)/5*(-5)/(-7). Let c = -0.01 - -0.41. Put o, c, -2/13 in ascending order.
o, -2/13, c
Suppose 5*i + 35 = 5*a - 0, -a - 4*i - 13 = 0. Sort a, -1, 1 in ascending order.
-1, 1, a
Let w be ((-30)/9)/(2/(-12)). Suppose -4*d - w = -0*d. Suppose 0 = 2*i - 14 + 4. Sort 3, i, d in ascending order.
d, 3, i
Suppose -1 = 4*p - 4*t - 9, -5*t - 11 = -4*p. Sort p, -4, -6 in increasing order.
-6, -4, p
Suppose 6*u = 8*u - 6. Let h be 0/(-4 + (4 - 2)). Sort u, h, -3 in ascending order.
-3, h, u
Let g be (-3)/(-1) - 3/(-3). Let c(a) = a**3 + 7*a**2 - 9*a - 8. Let k(j) = j**3 - 5*j**2 + 3*j + 1. Let y be k(3). Let l be c(y). Sort l, -2, g.
-2, l, g
Let x = -4 + 3.9. Let s = x + -1.9. Let f = s - -3. Put f, 0.5, -3/4 in ascending order.
-3/4, 0.5, f
Let p be (-25)/(-45)*3/(-2). Put -3, -0.2, -2, p in increasing order.
-3, -2, p, -0.2
Let z(p) = p**2 - 9*p + 5. Let h be z(7). Let t = 9 + h. Suppose t*v - v = 5. Put 5, v, 4/5 in decreasing order.
5, 4/5, v
Let y = -68/285 + 2/19. Sort y, 1/4, 5 in descending order.
5, 1/4, y
Suppose g - 26 = -5*d + 10, 0 = g + 2*d - 45. Let r be 2/1 - 96/g. Let t = -29 + 318/11. Put 0.2, t, r in ascending order.
t, r, 0.2
Let q be (-7)/((-14)/8) + 0. Sort 3, q, 5 in decreasing order.
5, q, 3
Let g be 5 - 3 - 26/16. Let n = -3 - -3.4. Put n, 0, g in descending order.
n, g, 0
Let v(s) = s**3 - 3*s**2 - 3*s - 1. Let a be v(4). Suppose 0 = a*r - 34 + 7. Put r, -5, -2 in increasing order.
-5, -2, r
Let o be 174*(-12)/32 + -2. Let v = -66 - o. Let q = -4 + -1. Sort v, -1, q in descending order.
v, -1, q
Suppose 2*n + 0 = 8. Suppose -16 = 3*i + 3*c + 8, 17 = i - n*c. Sort 1, -2, i in increasing order.
i, -2, 1
Let z = 0.3 - 1.3. Let o = z - 4. Let h = 7.3 + -7. Put 2/7, o, h in decreasing order.
h, 2/7, o
Let k = -222 - -232.7. Let r = k + -12. Let o = -0.3 - r. Put -3, o, 2 in ascending order.
-3, o, 2
Let u = 0 + -2. Sort -4, 3, u in ascending order.
-4, u, 3
Let c = 35 + -33. Put -3, -1, c, -4 in increasing order.
-4, -3, -1, c
Let h be (-5)/(-15) + (-16)/21. Sort 2/13, -2/5, h, 2/19 in ascending order.
h, -2/5, 2/19, 2/13
Let l be (-1 - -1 - 2) + 10. Suppose 3*m + l = -m. Let j(p) = -p**3 - p**2 + 2*p - 1. Let b be j(-2). Put b, m, 2 in descending order.
2, b, m
Suppose 5*r - 3*a = 9 - 23, -a + 18 = -5*r. Put 5, -2, r, 0 in increasing order.
r, -2, 0, 5
Let v = -4.8 - -4.87. Sort v, -3, -3/5 in increasing order.
-3, -3/5, v
Let l = -6 - -4. Let i = l + 4. Let c = i - -1. Sort c, -3/5, -4 in descending order.
c, -3/5, -4
Suppose 8 = l + z, 4*z - 32 + 5 = -3*l. Sort -5, l, 2, -0.2 in descending order.
l, 2, -0.2, -5
Let m = 0 + 0.5. Let g = -71/16 + -1/16. Put -5, g, m in decreasing order.
m, g, -5
Let y(f) = -f**2 + 4*f - 5. Let r be y(4). Let v(w) = -w**2 - 6*w + 2. Let u be v(-6). Put 0, u, r in decreasing order.
u, 0, r
Let n = -1.4 - -8.4. Let p = -3 + n. Let k be (-18)/20 + (-2)/(-5). Put k, 0, p in descending order.
p, 0, k
Let f = 46 + -51. Sort -0.01, f, 0, -1/3.
f, -1/3, -0.01, 0
Let c = 65 + -65.04. Sort -3, 1/8, c in descending order.
1/8, c, -3
Let w = -10 - -9. Let b = -1 - -3. Sort -5, w, b in decreasing order.
b, w, -5
Let s = -1.3 + 1.1. Sort s, 6, -4.
-4, s, 6
Let g = -2.98 - 0.02. Suppose -a - 6 = -l, -13 = -3*l + 5*a + 13. Suppose l*d + 25 = -3*d. Sort d, -0.1, g.
d, g, -0.1
Suppose -u - 2*p + 5 = 0, 2*p + 0 = u + 3. Sort 11, -4, u in ascending order.
-4, u, 11
Suppose -o = -4, 3*r - o + 0*o + 19 = 0. Let v = 0 + r. Let i(u) = -u**3 + 2*u**2 + 3*u - 3. Let n be i(2). Sort n, 4, v in decreasing order.
4, n, v
Suppose 4*b + 5*z = -4, -z - 4 = -b + 5*b. Put b, 23, -2 in decreasing order.
23, b, -2
Let w be 4 - 2/(-4)*0. Let c be 2/(-6) + (-58)/(-3). Suppose c = -2*o - 3*j, -5*o - 28 = 2*j - j. Sort w, o, -1 in ascending order.
o, -1, w
Let z be 10/(-4) - 12/8. Sort z, -1, 4 in descending order.
4, -1, z
Let p(h) = h**3 + 8*h**2 + 4. Let c be p(-4). Let q = c + -269/4. Put q, -0.4, -3 in descending order.
q, -0.4, -3
Let g = 107 - 105. Sort g, -0.5, 5, -2 in decreasing order.
5, g, -0.5, -2
Suppose 2*i + i = -3*j, -4*j - i + 3 = 0. Let t be 21/(-6) - 4/8. Put 5, j, t in descending order.
5, j, t
Let a = 2.5 - 8.5. Sort 5, 0, a in ascending order.
a, 0, 5
Let i = -9 - -10. Suppose 0 = 5*h - 2*z + 8, 2*h + 2*z + 3*z - 20 = 0. Sort 4, h, i.
h, i, 4
Suppose -o + 7 = -1. Suppose -5*w = p - 13, 4*w - 3*p = o + 10. Let t be (2/6)/(-1)*-3. Sort t, 2/15, w.
2/15, t, w
Let o be 2 - (-6 + 1 - -2). Let s(a) = -a**3 + 5*a**2 + 4*a + 1. Let x be s(6). Let q be (-2)/x + 2/(-11). Sort q, 4, o in decreasing order.
o, 4, q
Let f be (4 + -4 | {
"pile_set_name": "DM Mathematics"
} |
factors of 1904?
2, 7, 17
List the prime factors of 3647.
7, 521
What are the prime factors of 4466?
2, 7, 11, 29
List the prime factors of 641.
641
What are the prime factors of 10649?
23, 463
List the prime factors of 76309.
137, 557
List the prime factors of 1120.
2, 5, 7
What are the prime factors of 23626?
2, 11813
What are the prime factors of 1151?
1151
What are the prime factors of 5378?
2, 2689
What are the prime factors of 76?
2, 19
List the prime factors of 908.
2, 227
What are the prime factors of 365?
5, 73
What are the prime factors of 77809?
17, 23, 199
List the prime factors of 2895.
3, 5, 193
What are the prime factors of 39204?
2, 3, 11
List the prime factors of 820.
2, 5, 41
What are the prime factors of 767?
13, 59
List the prime factors of 26365.
5, 5273
List the prime factors of 995.
5, 199
What are the prime factors of 9?
3
List the prime factors of 4797.
3, 13, 41
What are the prime factors of 81204?
2, 3, 67, 101
What are the prime factors of 38581?
41, 941
What are the prime factors of 7312?
2, 457
List the prime factors of 67793.
11, 6163
List the prime factors of 1043.
7, 149
List the prime factors of 902.
2, 11, 41
What are the prime factors of 64870?
2, 5, 13, 499
List the prime factors of 10642.
2, 17, 313
List the prime factors of 1039.
1039
What are the prime factors of 24719?
19, 1301
What are the prime factors of 42783?
3, 13, 1097
What are the prime factors of 32889?
3, 19, 577
What are the prime factors of 5095?
5, 1019
List the prime factors of 994.
2, 7, 71
What are the prime factors of 44975?
5, 7, 257
List the prime factors of 20111.
7, 13, 17
List the prime factors of 13991.
17, 823
What are the prime factors of 2131?
2131
List the prime factors of 371.
7, 53
List the prime factors of 2849.
7, 11, 37
What are the prime factors of 28499?
28499
What are the prime factors of 58257?
3, 6473
What are the prime factors of 4010?
2, 5, 401
What are the prime factors of 9919?
7, 13, 109
What are the prime factors of 20533?
20533
What are the prime factors of 8772?
2, 3, 17, 43
What are the prime factors of 3558?
2, 3, 593
List the prime factors of 3259.
3259
What are the prime factors of 1271?
31, 41
What are the prime factors of 11538?
2, 3, 641
List the prime factors of 2665.
5, 13, 41
What are the prime factors of 11686?
2, 5843
List the prime factors of 960.
2, 3, 5
List the prime factors of 41802.
2, 3, 6967
What are the prime factors of 82106?
2, 61, 673
What are the prime factors of 13578?
2, 3, 31, 73
List the prime factors of 2339.
2339
What are the prime factors of 7016?
2, 877
List the prime factors of 2623.
43, 61
List the prime factors of 1858.
2, 929
What are the prime factors of 2061?
3, 229
List the prime factors of 4375.
5, 7
What are the prime factors of 7912?
2, 23, 43
List the prime factors of 14769.
3, 547
What are the prime factors of 265?
5, 53
List the prime factors of 12553.
12553
List the prime factors of 409.
409
List the prime factors of 2902.
2, 1451
What are the prime factors of 1051?
1051
List the prime factors of 2877.
3, 7, 137
What are the prime factors of 142549?
11, 12959
List the prime factors of 182.
2, 7, 13
List the prime factors of 1347.
3, 449
List the prime factors of 6006.
2, 3, 7, 11, 13
List the prime factors of 529.
23
List the prime factors of 552.
2, 3, 23
What are the prime factors of 27417?
3, 13, 19, 37
List the prime factors of 3273.
3, 1091
List the prime factors of 1686.
2, 3, 281
What are the prime factors of 3569?
43, 83
What are the prime factors of 910?
2, 5, 7, 13
List the prime factors of 73135.
5, 14627
What are the prime factors of 88210?
2, 5, 8821
List the prime factors of 28008.
2, 3, 389
What are the prime factors of 8501?
8501
What are the prime factors of 46794?
2, 3, 11, 709
List the prime factors of 9.
3
List the prime factors of 4917.
3, 11, 149
What are the prime factors of 45128?
2, 5641
List the prime factors of 24206.
2, 7, 13, 19
What are the prime factors of 62214?
2, 3, 10369
What are the prime factors of 9545?
5, 23, 83
List the prime factors of 85875.
3, 5, 229
List the prime factors of 11079.
3, 1231
List the prime factors of 122289.
3, 40763
List the prime factors of 26707.
17, 1571
List the prime factors of 376.
2, 47
What are the prime factors of 15179?
43, 353
List the prime factors of 39256.
2, 7, 701
What are the prime factors of 84206?
2, 71, 593
List the prime factors of 72649.
72649
What are the prime factors of 955?
5, 191
List the prime factors of 423.
3, 47
What are the prime factors of 3426?
2, 3, 571
List the prime factors of 17891.
17891
What are the prime factors of 842?
2, 421
List the prime factors of 1795.
5, 359
What are the prime factors of 13279?
7, 271
List the prime factors of 1907.
1907
What are the prime factors of 1338?
2, 3, 223
What are the prime factors of 109282?
2, 101, 541
List the prime factors of 50083.
11, 29, 157
What are the prime factors of 1060?
2, 5, 53
What are the prime factors of 197?
197
What are the prime factors of 50601?
3, 101, 167
What are the prime factors of 2045?
5, 409
List the prime factors of 1324.
2, 331
What are the prime factors of 2935?
5, 587
What are the prime factors of 103045?
5, 37, 557
List the prime factors of 6011.
6011
What are the prime factors of 3592?
2, 449
List the prime factors of 124842.
2, 3, 20807
List the prime factors of 1285.
5, 257
What are the prime factors of 980?
2, 5, 7
What are the prime factors of 3215?
5, 643
What are the prime factors of 2913?
3, 971
List the prime factors of 33401.
127, 263
List the prime factors of 1907.
1907
List the prime factors of 93659.
73, 1283
List the prime factors of 4937.
4937
What are the prime factors of 48?
2, 3
What are the prime factors of 3004?
2, 751
List the prime factors of 67042.
2, 33521
List the prime factors of 2403.
3, 89
List the prime factors of 813.
3, 271
List the prime factors of 7555.
5, 1511
List the prime factors of 6732.
2, 3, 11, 17
List the prime factors of 555.
3, 5, 37
List the prime factors of 740.
2, 5, 37
List the prime factors of 1834.
2, 7, 131
What are the prime factors of 12971?
7, 17, 109
What are the prime factors of 2666?
2, 31, 43
What are the prime factors of 18422?
2, 61, 151
List the prime factors of 1688.
2, 211
What are the prime factors of 214?
2, 107
What are the prime factors of 899?
29, 31
List the prime factors of 4603.
4603
List the prime factors of 8391.
3, 2797
What are the prime factors of 545?
5, 109
List the prime factors of 10015.
5, 2003
List the prime factors of 868.
2, 7, 31
List the prime factors of 1035.
3, 5, 23
List the prime factors of 79771.
241, 331
List the prime factors of 8620.
2, 5, 431
What are the prime factors of 168636?
2, 3, 13, 23, 47
What are the prime factors of 43970?
2, 5, 4397
List the prime factors of 11415.
3, 5, 761
What are the prime factors of 16882?
2, 23, 367
List the prime factors of 5829.
3, 29, 67
List the prime factors of 56828.
2, 14207
What are the prime factors of 30866?
2, 11, 23, 61
List the prime factors of 115.
5, 23
What are the prime factors of 574?
2, 7, 41
What are the prime factors of 19031?
19031
List the prime factors of 1209.
3, 13, 31
What are the prime factors of 3364?
2, 29
What are the prime factors of 2977?
13, 229
List the prime factors of 3540.
2, 3, 5, 59
List the prime factors of 251.
251
What are the prime factors of 1049?
1049
List the prime factors of 4073.
4073
What are the prime factors of 35140?
2, 5, 7, 251
List the prime factors of 5426.
2, 2713
List the prime factors of 2250.
2, 3, 5
What are the prime factors of 366?
2, 3, 61
What are the prime factors of 106920?
2, 3, 5, 11
What are the prime factors of 2869?
19, 151
What are the prime factors of 13539?
3, 4513
List the prime factors of 10894.
2, 13, 419
What are the prime factors of 15170?
2, 5, 37, 41
What are the prime factors of 3828?
2, 3, 11, 29
What are the prime factors of 97?
97
List the prime factors of 92989.
13, 23, 311
List the prime factors of 3050.
2, 5, 61
What are the prime factors of 45799?
13, 271
List the prime factors of 4673.
4673
What are the prime factors of 1640?
2, 5, 41
List the prime factors of 133.
7, 19
List the prime factors of 9735.
3, 5, 11, 59
List the prime factors of 22.
2, 11
List the prime factors | {
"pile_set_name": "DM Mathematics"
} |
7 and -550053.4577.
-550046.4577
Calculate -23954758.225 + -86.
-23954844.225
Add together -4532134443516 and 0.5.
-4532134443515.5
Calculate 33247226130 + 208.
33247226338
What is 0.02355 - 12710071357?
-12710071356.97645
Calculate 54701.4083081 + -7.
54694.4083081
What is 0.0005 less than -167575632?
-167575632.0005
What is 5 plus -9188.2277529?
-9183.2277529
Work out -355.4761795 - 0.01932.
-355.4954995
What is the difference between 0.26 and -384111596244?
384111596244.26
Work out -324945879442 - 7.
-324945879449
What is 6528378 plus -54359.67?
6474018.33
What is 0.084 minus -4107.63607?
4107.72007
Add together -1.985131 and 191.35.
189.364869
1.4145 + -67353746
-67353744.5855
Sum 173310399117 and 0.18.
173310399117.18
What is the difference between 0.1095998 and 1.406554?
1.2969542
Add together 98110.776 and 1877.
99987.776
What is -11.167 plus 9488308.67?
9488297.503
What is the distance between -1121102 and -281.198?
1120820.802
What is 156 minus -1926314201?
1926314357
332440767019 + 392
332440767411
-1785299 + 0.018263125
-1785298.981736875
58272581 + -169.9116
58272411.0884
Work out 7.69 + -3228.42434.
-3220.73434
What is -1 less than 2274945.58464043?
2274946.58464043
Calculate 6647 - -28798.484.
35445.484
-0.161 - 26176056794
-26176056794.161
Put together 108937549 and 425.
108937974
Put together 1669755405088 and -0.29.
1669755405087.71
What is -0.4 minus 284717.806195?
-284718.206195
-1061672.78 + -2524
-1064196.78
What is 383356966 plus 140.5?
383357106.5
What is 5 less than -21333083094878?
-21333083094883
Work out 18820207 - 5460.
18814747
What is the difference between 0.2 and -145.831997254?
146.031997254
Put together 3 and 13159.857718.
13162.857718
What is -2221009 less than 267.52?
2221276.52
What is the distance between -1.22 and -829.150564?
827.930564
What is -83103 minus -0.259524?
-83102.740476
391656.60858+5513
397169.60858
Put together -14284358154 and 12.
-14284358142
What is the distance between 6.60444708 and 0.29704?
6.30740708
Add -185304693.365 and 0.0795.
-185304693.2855
What is -1248 - 144075614668?
-144075615916
Sum -958978 and 67.638948.
-958910.361052
Add 865977 and -5.5934017.
865971.4065983
615499 - 0.0683009
615498.9316991
Sum -653443021 and -192.9.
-653443213.9
What is -26.627718717428 minus 10?
-36.627718717428
What is the difference between -17742.33 and 54.6773?
17797.0073
Subtract 236200478858 from -0.47.
-236200478858.47
What is -494258256 minus -1128?
-494257128
What is the distance between 116057281561 and -4.5?
116057281565.5
Total of 120092 and 316439296.
316559388
Sum -14.6499229231 and -2.
-16.6499229231
What is the distance between -697432 and 176464437?
177161869
What is 0.0483 less than -2434566976?
-2434566976.0483
Add together -11456820.5 and 8284.
-11448536.5
Calculate 8.4 + 1175848095.
1175848103.4
Total of 203751299 and -3091.
203748208
What is 55 minus -10017.37732?
10072.37732
-0.1+6840390870021
6840390870020.9
Total of 1 and 2828909.428037.
2828910.428037
What is -1.43559131011 less than -1158?
-1156.56440868989
What is 7907 + 6373998924?
6374006831
Add -4 and 433177618.25.
433177614.25
Calculate -0.08 - 1995463175847.
-1995463175847.08
What is -0.22538 - -60918044?
60918043.77462
Add together 911 and -353747793644.
-353747792733
What is -0.4 less than -96650542485.4?
-96650542485
What is -1602533535 minus -2.3?
-1602533532.7
2842.397 + -11237890
-11235047.603
Add together -25246 and 43078.570749.
17832.570749
What is the distance between -7.84031215244 and -3?
4.84031215244
Calculate 365.60768537 - -1.1.
366.70768537
What is 0.3 plus -2943501855274?
-2943501855273.7
Calculate -16218 + -1897.74.
-18115.74
Add together -56941844 and -2563.
-56944407
Add -0.16797604081509 and 0.4.
0.23202395918491
Add -174288451 and 13566.
-174274885
-87807319059 - 0.2542
-87807319059.2542
Work out 31 - 98363.235733.
-98332.235733
What is -37 + -35093943804247?
-35093943804284
What is -459195259 + 120385?
-459074874
-2377 + 20187.20806
17810.20806
Work out -0.02741 - -13575.366.
13575.33859
What is -131.797176 plus -181.868?
-313.665176
What is the difference between -402777728 and 44.257?
402777772.257
What is 33120560437 - -17236?
33120577673
What is 194948496313 - 1.085?
194948496311.915
What is the distance between -87 and -13616543339?
13616543252
-34198637598107 + 4
-34198637598103
Calculate -902790 - 94.7954.
-902884.7954
Calculate -16371441040 - 0.4.
-16371441040.4
What is 260859337.6 minus 986?
260858351.6
Calculate -7038057 - 21.983.
-7038078.983
Add together 1217.5492 and 13094973.
13096190.5492
Add 372590427.78 and 0.05.
372590427.83
-0.064652399203 - -269
268.935347600797
Sum -11024030.02 and -0.309.
-11024030.329
What is -14534786746 plus -697?
-14534787443
What is -0.5 - -0.010876698913?
-0.489123301087
Work out 793022269 + 4250.
793026519
Calculate -613793236 - 597268.
-614390504
Add together -5125059618 and -4.
-5125059622
4.4 - 13017959446
-13017959441.6
What is -1555.984300126 + 0.373?
-1555.611300126
Work out 38976.539 + -771.4609.
38205.0781
What is 2204 less than 0.68596518?
-2203.31403482
What is 0.05 minus -4216655.121?
4216655.171
Calculate -10.3 - 196579052.4.
-196579062.7
0.018002 - -3708485
3708485.018002
Calculate 0.0505 + -0.4676020541.
-0.4171020541
What is the distance between 844450 and 474328?
370122
Calculate 7409867 + -442155.
6967712
What is -507.481 - 983137440?
-983137947.481
617073+-8027673
-7410600
What is the difference between -33248548498 and 2015?
33248550513
Add 1112.449128 and -348.
764.449128
What is 4.61471521 take away 19187?
-19182.38528479
Calculate 43132530521 - 299.
43132530222
What is 47.91 - 46016895?
-46016847.09
What is 0.32158 + -4410893.2?
-4410892.87842
Add 1376079001157 and -3.
1376079001154
Work out 71.6949287 + 22943.
23014.6949287
Subtract -5 from -20075047639765.
-20075047639760
What is 0.02591 - 894480.007?
-894479.98109
What is 892428446 + -70?
892428376
Work out -83047096.2 - -0.106.
-83047096.094
Put together -705.29699123 and -2.
-707.29699123
What is 1340 - -1094.9483?
2434.9483
Sum -260 and -706287369.88.
-706287629.88
What is 2403047.2 + 541.9?
2403589.1
Calculate 0.1 - 343521747259.
-343521747258.9
What is -286565085688347 plus -0.2?
-286565085688347.2
Work out 39814.8678 + -1.1493.
39813.7185
19463221.8035 - 482
19462739.8035
Work out 723024.4966 + 26.
723050.4966
Subtract 1627.1126 from 15852.
14224.8874
What is 8 - 1374770467?
-1374770459
What is the distance between -19.06 and 306916.2?
306935.26
-2302789476.5 + -52
-2302789528.5
Total of 14741049646 and -7.2.
14741049638.8
What is the difference between 5751629.188 and 1.6?
5751627.588
What is 0.06056741888 less than 2.17?
2.10943258112
Subtract 0.27305 from 1745957.71.
1745957.43695
Subtract 14742.1852 from 1157.
-13585.1852
Sum -2.45 and 13059806328.
13059806325.55
Put together 0.61414387349 and 176.9.
177.51414387349
177315+-3803212
-3625897
What is 802 - -2.827384367?
804.827384367
What is the distance between 1.9529017 and 3.735?
1.7820983
What is the distance between -32766 and -1356210029?
1356177263
-0.9 + 60055714836065
60055714836064.1
Put together -33371022768 and -0.9986.
-33371022768.9986
Put together 33375941 and 2358.
33378299
What is 0.11 less than -281631141566?
-281631141566.11
Work out -5112930452 + 100.
-5112930352
What is -2.8687311789 plus 3?
0.1312688211
-3 + 20599.38731492
20596.38731492
What is -2930248896950 less than 0.5?
2930248896950.5
0.0096946505 + 0.068
0.0776946505
Put together -293 and -0.1093887455.
-293.1093887455
Calculate -97912891830.3 - 0.261.
-97912891830.561
What is the difference between -0.134 and -3005773.61245?
3005773.47845
Work out -0.241 - 26046.08.
-26046.321
What is 246 plus -2689273203?
-2689272957
Work out 0.0689784261 - -1687.
1687.0689784261
-3971 + -49532038.548
-49536009.548
27422739+-25.96
27422713.04
Work out 3456 + 1322.496959.
4778.496959
What is -357.6 less than 0.116297193?
357.716297193
Calculate 0.07579 + 31307487.
31307487.07579
What is the distance between 0.88659 and -1780245970?
1780245970.88659
Put together -184026906954 and -0.3.
-184026906954.3
What is the difference between 0 and 15767272929.92?
15767272929.92
What is -5 + -537858669701?
-537858669706
What is -843301 minus 610178063?
-6110213 | {
"pile_set_name": "DM Mathematics"
} |
q - 63. Let d(g) = -2*g. Give d(n(w)).
-4*w**2 - 82*w + 126
Let u(v) = -30*v + 31*v - 3 - 7 + 48. Let j(c) = -2*c**2. Calculate u(j(m)).
-2*m**2 + 38
Let k(m) = 2*m. Let v be ((-3)/(-2))/(6/(-8)). Let u = -3 - v. Let y(q) = 5*q**2 - 4*q + 4. Let t(c) = -c**2 + c - 1. Let j(a) = u*y(a) - 4*t(a). Give j(k(i)).
-4*i**2
Let p(v) = v. Let t(h) = 1 + 3 - 2 + 2. Let f(j) = -j - 7. Let b(c) = 4*f(c) + 7*t(c). Give p(b(a)).
-4*a
Let q(p) = p. Let g(j) = -6*j - 4. Let c(k) be the third derivative of -7*k**4/24 - 5*k**3/6 - 4*k**2. Let o(h) = -4*c(h) + 5*g(h). Calculate q(o(w)).
-2*w
Let f(h) = -4*h. Let n(k) = 2*k**2 + 4*k. Let j(l) = -5*l**2 - l**2 + l**2 + 4*l**2 - 3*l. Let a(u) = -4*j(u) - 3*n(u). What is a(f(p))?
-32*p**2
Let n(l) = 454*l + 2. Let p(u) = 2*u. Give n(p(m)).
908*m + 2
Let m(o) = 2*o**2. Let j be ((-32)/(-6))/(1/3). Suppose -4*i - r + 3*r + j = 0, 5*r = 2*i - 24. Let g(s) = -1 - 1 + i - 2*s. What is m(g(x))?
8*x**2
Let s(y) = 21*y - 7*y - 14 - y**2 + 7*y**2. Let x(m) = -m**2 - 3*m + 3. Let v(f) = -3*s(f) - 14*x(f). Let t(b) = -2*b + b - b. What is t(v(h))?
8*h**2
Let v(c) = -2*c**2. Let f(n) = n**2. Determine f(v(h)).
4*h**4
Let d(p) = -15*p. Let f(q) = -2*q**2 - 11*q. Give d(f(a)).
30*a**2 + 165*a
Let d(n) = 2*n**2. Let b(z) be the second derivative of -z**3/3 + 8*z. What is d(b(i))?
8*i**2
Let c(u) = 366*u. Let g(r) = -3*r**2. Determine c(g(i)).
-1098*i**2
Let i(d) = -2*d**2. Let u(n) = -1538*n. Give u(i(a)).
3076*a**2
Let n(z) = 10*z. Let s(t) = -55*t**2. Determine n(s(m)).
-550*m**2
Let v(t) = 3*t. Let y(m) = -m**2 + 1. Let k(b) = -2 - 1 - 5 + 5 + 2*b**2. Let o(i) = k(i) + 3*y(i). Give o(v(w)).
-9*w**2
Let l(r) = 2*r**2. Let n(w) = 2*w + 12 + 2 - 42 + 12. What is n(l(k))?
4*k**2 - 16
Let v(t) = t. Let j(r) = -7 + 4 + 3 - 3*r. Determine v(j(a)).
-3*a
Let z(w) be the second derivative of 3*w**4/4 - 10*w + 2. Let m(o) = 6*o. Calculate m(z(f)).
54*f**2
Let c(r) = -16664*r. Let k(g) = -g**2. Determine k(c(w)).
-277688896*w**2
Let k(s) be the second derivative of -s**3/6 - 6*s. Let o(t) be the third derivative of -t**4/24 - 2*t**2. Give k(o(p)).
p
Let v(s) = s**2. Let u(p) = 135*p - 17. Let z(k) = 45*k - 6. Let i(m) = 6*u(m) - 17*z(m). Determine i(v(n)).
45*n**2
Let p(c) = -35*c. Let k(x) = 17*x**2. Give p(k(d)).
-595*d**2
Let j(b) = -237*b**2 + 9*b + 11. Let z(d) = -118*d**2 + 5*d + 6. Let g(m) = -6*j(m) + 11*z(m). Let i(a) = -a**2. Give g(i(h)).
124*h**4 - h**2
Let i(w) be the first derivative of w**2 - 6. Let c(r) = -4*r**2. What is c(i(x))?
-16*x**2
Let w(j) be the first derivative of -j**2 - 8*j**2 + 11*j**2 - 3*j**2 + 2. Let g(r) = 6*r**2. Give w(g(q)).
-12*q**2
Let t(w) = 2*w**2. Let y(l) = -6*l - 5*l + 4*l + 3*l. Give t(y(v)).
32*v**2
Let p(l) = 9*l + 5*l**2 - 9*l. Let a(w) = w - 1. Let q(i) = i - 2. Let o(b) = 4*a(b) - 2*q(b). Give p(o(f)).
20*f**2
Let o(s) = -s. Let f(z) = z + 14. What is f(o(m))?
-m + 14
Let k(p) = -79*p**2. Let s(x) = 6*x. What is k(s(v))?
-2844*v**2
Let x(a) = 203*a - a**2 - 203*a. Let g(m) = 2*m. Determine g(x(h)).
-2*h**2
Let m(h) = h - 1. Let q(u) = u - 2. Let t(j) = -2*m(j) + q(j). Let a(k) = 29*k - 14*k - 17*k. Determine a(t(g)).
2*g
Let u(v) be the first derivative of -2*v**3/3 - 1. Let k(s) be the third derivative of -s**5/30 - 18*s**2. What is k(u(c))?
-8*c**4
Let a(g) = -g. Let f = 3 + -2. Let n(q) = 1 - q - f. Give n(a(m)).
m
Let l(j) = -4*j + 3*j - 3*j. Let r(u) = -7*u**2 + 2*u**2 + 3*u**2. Give r(l(k)).
-32*k**2
Let w(m) = 0*m**2 - m**2 + 2*m**2. Let n(l) = -l + 1. Let h(y) = 18*y - 15. Let f(q) = h(q) + 15*n(q). Calculate w(f(k)).
9*k**2
Let f(m) = -m. Let r(s) = 247*s - 39. Let o(w) = -13*w + 2. Suppose 0 = -5*h + 2*h - 117. Let l(p) = h*o(p) - 2*r(p). Give l(f(c)).
-13*c
Let o(p) = 4*p**2. Let k(s) be the second derivative of 0*s**3 + 1/12*s**4 + 1/2*s**2 - 2*s + 0. Let a(j) be the first derivative of k(j). Give o(a(l)).
16*l**2
Let c(k) = 2*k - 3. Let b(n) = -4*n + 5. Let o(s) = -3*b(s) - 5*c(s). Let g(y) = 29 - 142*y + 130*y - 29. Calculate o(g(j)).
-24*j
Let w(y) = -3*y. Let m(d) = 7*d**2 + 2*d + 2. Let l(c) = -48*c**2 - 15*c - 15. Let u(g) = 4*l(g) + 30*m(g). Determine w(u(o)).
-54*o**2
Let j(h) = 0 + 1 - 2. Let g(k) = k + 11. Let m(w) = -4*g(w) - 44*j(w). Let v(a) = -2*a. Give v(m(c)).
8*c
Let p(v) = -2*v**2. Let w(r) be the third derivative of -r**7/420 + r**4/8 + r**2. Let y(x) be the second derivative of w(x). Determine p(y(n)).
-72*n**4
Let f(w) = 4*w**2. Let n(z) = -10*z + 3. Let v(b) = -9*b + 2. Let y(c) = 2*n(c) - 3*v(c). Give y(f(d)).
28*d**2
Let j(v) = 8 + v + 2 - 9. Let z(x) = x**2 + 9*x + 9. Let p(a) = 36*j(a) - 4*z(a). Let l(k) = -2 + 2 + 2*k**2. Give p(l(s)).
-16*s**4
Let t(x) = x**2. Let z(q) = -3*q**2. Let j(n) = -9*t(n) - 2*z(n). Let y(i) = 3*i**2. Determine y(j(v)).
27*v**4
Let f(d) = 2*d - 1397. Let x(g) = -5*g. What is x(f(u))?
-10*u + 6985
Let b(k) be the second derivative of 5*k**3/6 + k - 9. Let g(h) = 2*h. Determine b(g(a)).
10*a
Let x(i) = 2*i. Suppose 9 = 3*u - y, 2*u + 2*y + 2 = -0*u. Let k(f) = -3*f**2 + 3*f**2 - u*f**2 + 3*f**2. Calculate x(k(g)).
2*g**2
Let m = 2 + -2. Let z = m + 2. Let h(w) = -3*w**2 + 0*w**2 + w**z + 0*w**2. Let b(g) = g. Determine h(b(o)).
-2*o**2
Let o(x) = 10*x**2. Let w(a) = 2*a. Let t(r) = 6*r. Let l = 6 + -1. Let f(n) = l*t(n) - 16*w(n). What is f(o(m))?
-20*m**2
Let n(t) = -1385*t. Let m(g) = -2*g**2. Determine m(n(a)).
-3836450*a**2
Let a(o) = -5*o. Let z(f) be the first derivative of f**4/8 + 3*f**2/2 + 3. Let v(x) be the second derivative of z(x). Give a(v(t)).
-15*t
Let n(d) = -3*d**2. Let g(x) = -3*x**2 + 283*x - 283*x. What is g(n(j))?
-27*j**4
Let z(r) = -13*r. Let n(w) be the third derivative of w**4/12 - 10*w**2. Determine z(n(d)).
-26*d
Let l(q) = 3*q**2. Let x(i) = 4*i + 448. What is l(x(r))?
48*r**2 + 10752*r + 602112
Let f(k) = 4*k + 7. Let s(v) = 2*v + 4. Let u(i) = -4*f(i) + 7*s(i). Let c(a) be the third derivative of a**5/6 - 4*a**2. Give c(u(x)).
40*x**2
Let x(d) = -4*d**2. Let s(k) = -5*k + 6. Let t(q) = -q + 1. Let a be 2 - ((-8)/4 - -3). Let p(b) = a*s(b) - 6*t(b). Give x(p(z)).
-4*z**2
Let j(f) be the third derivative of 0 - 1/30*f**5 + 0*f**4 - 3*f**2 + 0*f**3 + 0*f. Let m(u) = -5 - 3*u**2 + 5. Give m(j(t)).
-12*t**4
Let c(z) = -5*z. Let m(g) = g - 3*g + 3*g. What is m(c(p))?
-5*p
Let k(y) = -6*y. Let b(h) = 7*h. Let v(l) = 5*b(l) + 6*k(l). Let a(q) = -6*q**2 + 2. Let p(j) = -25*j**2 + 9. Let n(m) = -9*a(m) + 2*p(m). What is v(n(d))?
-4*d**2
Let o(g) = g. Let z = -4 - -6. Suppose 5*u - 3*w = -0*w, -2*u + 5*w = 0. Let c(b) = -3 + 3 + u + b**z. Calculate o(c(a)).
a**2
Let i(b) = 10*b. Let c(n) = n**2 - 4*n. What is i(c(s))?
10*s**2 - 40*s
Let y(j) = 8*j. Let z(w) = -381*w. Calculate y(z(m)).
-3048*m
Let o(k) = -4*k. Let t(c) = 2*c. Let b(h) = -6*o(h) - 11*t(h). Let v(a) be the third derivative of a**4/24 + 2*a**2. Calculate v(b(d)).
2*d
Let v(g) = 4*g. Let z be 2*2*(-3)/(-12). Let q(i) be the first derivative of -5 + 3 + i**2 + z + 0. What is v(q(j))?
8*j
Let t(f) = -f. Let s(w) = 11*w**2 - 1. Calculate t(s(g)).
-11*g**2 + 1
Let a(w) = 4*w. Let n = -9 - -11. Let o(i) = -i**n - 5*i + 5*i. Calculate a(o(k)).
-4*k**2
Let k(b) = -3*b. Suppose x = 3*x + 2. Let m(a) = -4*a**2 + 6*a - 6. Let t(u) = -u**2 + u - 1. Let l(p) = x*m(p) + 6*t(p). What is k(l(r))?
6*r**2
Let l(d) = 4*d + 3. Let v(w) = -9*w - 7. Let s(a) = 14*l(a) + 6*v(a). Suppose -y + 6 = 2*y. Let o(t) = 2*t - 2*t - y*t. Give s(o(z)).
-4*z
Let q(a) = -25*a**2 - 11*a + 11. Let f(r) = 5*r**2 + 2*r - 2. Let j(l) = 11*f(l) + 2*q(l). Let i(s) = 1 - 2*s**2 - 1. What is j(i(g))?
20*g**4
Let x(q) = -2*q**2 - 14*q. Let g(n) = -n**2. Give g(x(y)).
-4*y**4 - 56*y**3 - 196*y**2
Let a(t) = -2*t. Let o(x) = 139*x**2. Determine o(a(n)).
556*n**2
Let u(j) = 14*j. Let a(q) = 2*q - 15*q + 8*q + 7*q. Determine u(a(t)).
28*t
Let v(x) = 4*x**2. Let w(z) = 7*z + 10. Give v(w(d)).
196*d**2 + 560*d + 400
Let u(d) = d**2. Let f(k) be the third derivative of k**7/2520 - k**5/60 - 4*k**2. Let n(g) be the third derivative of f(g). Determine n(u(v)).
2*v**2
Let r(d) = 4*d**2 + 3*d. Let k(z) = 5*z**2. Determine r(k(c)).
100*c**4 + 15*c**2
Let m(w) = 2*w. Let c = 16 + -10. Let o(y) = 0*y + c*y - 4*y. What is o(m(b))?
4*b
Let x(u) = -4*u**2 - 17. Let l(d) = 2*d. Determine x(l(j)).
-16*j | {
"pile_set_name": "DM Mathematics"
} |
alculate prob of sequence xtx when three letters picked without replacement from {x: 4, w: 2, t: 1}.
2/35
Two letters picked without replacement from {q: 1, y: 1, c: 2, v: 1}. Give prob of sequence yc.
1/10
Two letters picked without replacement from {b: 1, j: 1, c: 5, i: 6, s: 1}. Give prob of sequence si.
3/91
What is prob of sequence mo when two letters picked without replacement from olqllgimllmm?
1/44
What is prob of sequence vvv when three letters picked without replacement from {v: 6}?
1
Two letters picked without replacement from hhuohhhohuuuho. Give prob of sequence ou.
6/91
Four letters picked without replacement from momhwoommmywmmwhmmwo. What is prob of sequence yoho?
1/4845
Two letters picked without replacement from lflkl. Give prob of sequence fk.
1/20
What is prob of sequence aaoo when four letters picked without replacement from {d: 4, a: 3, o: 7}?
3/286
Two letters picked without replacement from lrllrll. Give prob of sequence rr.
1/21
Calculate prob of sequence tyty when four letters picked without replacement from {b: 2, t: 5, y: 7}.
5/143
What is prob of sequence psq when three letters picked without replacement from {s: 2, q: 1, z: 3, p: 1, b: 3, o: 1}?
1/495
Calculate prob of sequence yyv when three letters picked without replacement from yvyvyvyvvyyvjyyyyj.
15/136
Calculate prob of sequence gx when two letters picked without replacement from bxxbxbbbxggxx.
1/13
Three letters picked without replacement from fhn. Give prob of sequence fhn.
1/6
Calculate prob of sequence jg when two letters picked without replacement from gggj.
1/4
What is prob of sequence too when three letters picked without replacement from {m: 1, l: 6, d: 1, o: 3, t: 4, r: 1}?
1/140
What is prob of sequence aa when two letters picked without replacement from hhhhahhhhhhahhhahah?
2/57
Three letters picked without replacement from {b: 10, o: 9}. What is prob of sequence obb?
45/323
Four letters picked without replacement from {m: 3, o: 10, x: 2}. Give prob of sequence omom.
3/182
Calculate prob of sequence fkai when four letters picked without replacement from {a: 7, k: 3, u: 1, f: 2, i: 4}.
1/340
What is prob of sequence lar when three letters picked without replacement from nnllnnnrarrtl?
3/572
Two letters picked without replacement from rlvlh. Give prob of sequence rh.
1/20
Calculate prob of sequence yy when two letters picked without replacement from yyyyysyxyyy.
36/55
Three letters picked without replacement from {p: 3, v: 2, w: 2, n: 5}. What is prob of sequence wpw?
1/220
What is prob of sequence www when three letters picked without replacement from rwwrw?
1/10
Three letters picked without replacement from {m: 3, z: 1, f: 4, j: 3}. What is prob of sequence zmj?
1/110
Two letters picked without replacement from {v: 1, z: 1, a: 2, k: 1}. Give prob of sequence zk.
1/20
Four letters picked without replacement from fffvfvvfsfif. What is prob of sequence vfif?
7/660
Two letters picked without replacement from tdesttesdsjne. What is prob of sequence nt?
1/52
Three letters picked without replacement from {k: 9, i: 3}. What is prob of sequence iik?
9/220
Four letters picked without replacement from {e: 5, p: 8, m: 2, r: 2}. Give prob of sequence mrpm.
1/1785
What is prob of sequence vii when three letters picked without replacement from {u: 2, s: 2, i: 3, g: 6, v: 6}?
2/323
Calculate prob of sequence xx when two letters picked without replacement from {x: 4, g: 7, y: 3}.
6/91
Four letters picked without replacement from gddngo. Give prob of sequence ndod.
1/180
What is prob of sequence eeff when four letters picked without replacement from fffee?
1/10
What is prob of sequence qqqd when four letters picked without replacement from sdggsdkkdkdsssssqkss?
0
Two letters picked without replacement from cocc. Give prob of sequence co.
1/4
Calculate prob of sequence vu when two letters picked without replacement from {t: 2, u: 4, v: 1}.
2/21
What is prob of sequence yy when two letters picked without replacement from {y: 2, m: 2, v: 6, f: 1, r: 3, a: 1}?
1/105
What is prob of sequence ixi when three letters picked without replacement from {d: 1, c: 2, x: 2, w: 3, i: 4}?
1/55
Calculate prob of sequence gg when two letters picked without replacement from bggbbbbbbbbgbbbbgbb.
2/57
Four letters picked without replacement from {k: 1, f: 2, r: 1, o: 1, h: 2}. What is prob of sequence koff?
1/420
What is prob of sequence dgee when four letters picked without replacement from {e: 2, g: 2, d: 1}?
1/30
Four letters picked without replacement from {d: 1, g: 4, m: 2}. What is prob of sequence gdgg?
1/35
Calculate prob of sequence psl when three letters picked without replacement from splplplppllplp.
1/52
Three letters picked without replacement from wwrrrrmrrmrrrr. Give prob of sequence mww.
1/546
Three letters picked without replacement from {p: 2, q: 1, y: 2, n: 1, i: 2, g: 1}. Give prob of sequence ygy.
1/252
Calculate prob of sequence uuu when three letters picked without replacement from {r: 3, u: 5}.
5/28
What is prob of sequence qqi when three letters picked without replacement from qiqiqziqqiiiiiqzi?
9/136
Calculate prob of sequence bbp when three letters picked without replacement from {p: 4, z: 8, b: 8}.
28/855
Three letters picked without replacement from tptppttppttppptpttpp. What is prob of sequence ptp?
11/76
Three letters picked without replacement from tkttl. What is prob of sequence klt?
1/20
Three letters picked without replacement from {g: 2, f: 2, r: 5, p: 2, l: 1, q: 1}. Give prob of sequence qrg.
5/858
What is prob of sequence pxpx when four letters picked without replacement from ppxpppxpxpxx?
7/99
What is prob of sequence iiii when four letters picked without replacement from {i: 5}?
1
Calculate prob of sequence liyf when four letters picked without replacement from {l: 4, f: 1, t: 4, y: 1, i: 2, g: 7}.
1/11628
Four letters picked without replacement from {y: 3, m: 2}. Give prob of sequence ymym.
1/10
Two letters picked without replacement from bgbbbgoggbgoggggbgub. What is prob of sequence go?
1/19
Two letters picked without replacement from btghhhhtbhlhrbhhbglh. Give prob of sequence tr.
1/190
Calculate prob of sequence hj when two letters picked without replacement from jkjjjkkhjjk.
3/55
What is prob of sequence etn when three letters picked without replacement from {t: 5, n: 3, f: 1, e: 7}?
1/32
Calculate prob of sequence wsss when four letters picked without replacement from cfssswcsf.
1/126
What is prob of sequence qy when two letters picked without replacement from {r: 1, y: 2, k: 1, q: 1}?
1/10
Calculate prob of sequence tk when two letters picked without replacement from {k: 5, t: 11}.
11/48
What is prob of sequence go when two letters picked without replacement from gggalooooaoovo?
3/26
Four letters picked without replacement from gggg. Give prob of sequence gggg.
1
What is prob of sequence rfa when three letters picked without replacement from {f: 2, r: 2, a: 4, p: 1}?
2/63
Two letters picked without replacement from llsillgappisl. What is prob of sequence pl?
5/78
Calculate prob of sequence nn when two letters picked without replacement from {m: 13, n: 6}.
5/57
Two letters picked without replacement from oronnnonnnnr. Give prob of sequence rr.
1/66
Two letters picked without replacement from emvevvmvm. What is prob of sequence em?
1/12
Two letters picked without replacement from bbjbjbbvxbbxvlbllwlj. What is prob of sequence wv?
1/190
Calculate prob of sequence ozp when three letters picked without replacement from {l: 2, o: 1, z: 1, p: 2, y: 8}.
1/1092
Three letters picked without replacement from kjjnnnjnhjjnnfjt. Give prob of sequence jjt.
1/112
Two letters picked without replacement from {z: 1, m: 5, v: 4, t: 1, p: 3}. Give prob of sequence zv.
2/91
What is prob of sequence nk when two letters picked without replacement from llhllknnl?
1/36
Three letters picked without replacement from {e: 8, y: 2, k: 4, w: 1}. Give prob of sequence ywy.
1/1365
What is prob of sequence roo when three letters picked without replacement from {h: 1, o: 4, i: 1, t: 2, s: 2, r: 5}?
2/91
Four letters picked without replacement from tuuvybw. Give prob of sequence yuvb.
1/420
Calculate prob of sequence hvhv when four letters picked without replacement fro | {
"pile_set_name": "DM Mathematics"
} |
st common divisor of 303 and 18?
3
Calculate the greatest common factor of 476 and 136.
68
Calculate the greatest common divisor of 28 and 12.
4
What is the greatest common divisor of 10105 and 470?
235
What is the highest common divisor of 1666 and 68?
34
Calculate the highest common divisor of 1 and 5501.
1
Calculate the highest common factor of 78 and 12.
6
Calculate the greatest common factor of 456 and 15162.
114
What is the greatest common divisor of 3 and 269?
1
What is the greatest common divisor of 171 and 2223?
171
What is the greatest common factor of 4 and 19?
1
What is the highest common divisor of 1628 and 484?
44
Calculate the highest common factor of 425 and 935.
85
Calculate the greatest common divisor of 323 and 57.
19
Calculate the highest common factor of 108 and 32.
4
Calculate the highest common divisor of 30 and 9.
3
What is the greatest common divisor of 14 and 42?
14
Calculate the greatest common divisor of 6084 and 48.
12
What is the greatest common divisor of 32 and 12?
4
Calculate the greatest common factor of 464 and 64.
16
Calculate the highest common divisor of 528 and 594.
66
What is the highest common divisor of 328 and 80?
8
What is the greatest common factor of 1017 and 791?
113
Calculate the highest common divisor of 60 and 450.
30
Calculate the highest common factor of 175 and 50.
25
What is the greatest common divisor of 435 and 5?
5
Calculate the greatest common factor of 4459 and 98.
49
Calculate the highest common factor of 11 and 5841.
11
What is the greatest common divisor of 12035 and 29?
29
Calculate the highest common factor of 77 and 35.
7
Calculate the highest common divisor of 4 and 2744.
4
What is the highest common factor of 3950 and 2686?
158
Calculate the highest common factor of 29 and 1421.
29
What is the greatest common factor of 12204 and 108?
108
What is the highest common divisor of 5738 and 38?
38
Calculate the highest common divisor of 1296 and 24.
24
What is the highest common factor of 640 and 170?
10
Calculate the greatest common divisor of 174 and 232.
58
Calculate the greatest common factor of 936 and 396.
36
Calculate the greatest common factor of 126 and 30.
6
Calculate the highest common divisor of 32 and 844.
4
Calculate the highest common factor of 79 and 2449.
79
Calculate the highest common divisor of 738 and 533.
41
Calculate the highest common divisor of 16 and 848.
16
What is the highest common factor of 112 and 35?
7
What is the highest common divisor of 148 and 17834?
74
Calculate the highest common factor of 155 and 45.
5
What is the highest common divisor of 9730 and 140?
70
Calculate the greatest common factor of 784 and 49.
49
What is the highest common divisor of 90 and 30?
30
Calculate the greatest common factor of 192 and 60.
12
What is the highest common factor of 88 and 374?
22
Calculate the greatest common factor of 1419 and 33.
33
What is the highest common divisor of 1456 and 224?
112
Calculate the greatest common divisor of 4828 and 68.
68
Calculate the highest common divisor of 2380 and 84.
28
What is the highest common factor of 782 and 68?
34
What is the highest common divisor of 32 and 5216?
32
Calculate the highest common factor of 100 and 4580.
20
What is the greatest common factor of 110 and 11?
11
What is the greatest common factor of 224 and 10784?
32
Calculate the highest common factor of 65 and 10.
5
Calculate the greatest common divisor of 8 and 676.
4
Calculate the highest common divisor of 7975 and 77.
11
Calculate the highest common divisor of 3 and 34.
1
What is the highest common divisor of 868 and 28?
28
What is the greatest common factor of 20 and 175?
5
What is the highest common factor of 637 and 49?
49
What is the greatest common factor of 266 and 114?
38
Calculate the greatest common factor of 264 and 165.
33
What is the greatest common divisor of 186 and 403?
31
What is the highest common factor of 126 and 651?
21
What is the greatest common divisor of 119 and 85?
17
Calculate the greatest common factor of 24 and 276.
12
Calculate the highest common factor of 30 and 6410.
10
Calculate the greatest common divisor of 173 and 9.
1
Calculate the greatest common divisor of 89 and 7031.
89
What is the greatest common factor of 364 and 2197?
13
What is the greatest common divisor of 616 and 198?
22
Calculate the highest common divisor of 110 and 70.
10
Calculate the highest common divisor of 5 and 415.
5
Calculate the highest common factor of 77 and 3157.
77
Calculate the highest common divisor of 2096 and 6026.
262
What is the greatest common divisor of 112 and 266?
14
Calculate the greatest common divisor of 54 and 1026.
54
What is the highest common factor of 91 and 143?
13
Calculate the greatest common divisor of 51 and 408.
51
Calculate the greatest common divisor of 38 and 22.
2
Calculate the highest common divisor of 400 and 27100.
100
What is the highest common divisor of 977 and 3?
1
Calculate the greatest common divisor of 48 and 309.
3
Calculate the highest common factor of 20016 and 288.
144
Calculate the greatest common divisor of 3 and 12471.
3
Calculate the greatest common factor of 15712 and 32.
32
What is the highest common factor of 1413 and 314?
157
Calculate the greatest common divisor of 127 and 2286.
127
What is the highest common factor of 17 and 1003?
17
Calculate the highest common factor of 44 and 20.
4
Calculate the highest common divisor of 1596 and 285.
57
What is the greatest common divisor of 35 and 1050?
35
What is the highest common divisor of 16089 and 93?
93
What is the greatest common divisor of 1883 and 21?
7
What is the greatest common factor of 330 and 1430?
110
What is the greatest common divisor of 350 and 90?
10
Calculate the highest common factor of 140 and 3535.
35
Calculate the highest common divisor of 972 and 432.
108
Calculate the highest common divisor of 62 and 5177.
31
Calculate the highest common factor of 116 and 3654.
58
What is the greatest common divisor of 33814 and 106?
106
What is the greatest common factor of 45 and 190?
5
What is the highest common divisor of 5825 and 75?
25
Calculate the highest common factor of 68 and 850.
34
Calculate the highest common divisor of 351 and 378.
27
What is the highest common factor of 21 and 91?
7
What is the highest common factor of 112 and 35?
7
Calculate the highest common divisor of 243 and 18.
9
Calculate the highest common divisor of 3034 and 74.
74
Calculate the highest common factor of 616 and 2310.
154
What is the highest common factor of 12 and 588?
12
What is the greatest common factor of 25 and 575?
25
Calculate the highest common factor of 396 and 22.
22
What is the highest common factor of 264 and 312?
24
Calculate the greatest common factor of 165 and 2640.
165
What is the greatest common factor of 536 and 8?
8
What is the greatest common factor of 13 and 4849?
13
Calculate the greatest common factor of 24 and 42.
6
Calculate the greatest common divisor of 10 and 1160.
10
Calculate the highest common factor of 33 and 9.
3
Calculate the greatest common divisor of 84 and 546.
42
Calculate the greatest common factor of 47 and 1269.
47
What is the highest common divisor of 40 and 340?
20
Calculate the highest common factor of 1708 and 336.
28
What is the greatest common factor of 11 and 110?
11
Calculate the greatest common factor of 39459 and 21.
21
Calculate the greatest common factor of 56 and 5528.
8
What is the greatest common factor of 936 and 26?
26
What is the greatest common factor of 418 and 342?
38
What is the highest common divisor of 510 and 30?
30
What is the greatest common divisor of 4356 and 1012?
44
What is the highest common factor of 1010 and 10?
10
Calculate the highest common divisor of 140 and 875.
35
Calculate the greatest common factor of 32 and 4.
4
What is the greatest common factor of 498 and 12?
6
What is the highest common divisor of 45 and 330?
15
Calculate the highest common divisor of 253 and 46.
23
What is the greatest common divisor of 14 and 1918?
14
Calculate the highest common divisor of 12 and 5176.
4
What is the highest common factor of 63 and 5571?
9
What is the highest common divisor of 17 and 2363?
17
What is the greatest common factor of 9 and 7767?
9
What is the greatest common facto | {
"pile_set_name": "DM Mathematics"
} |
*2 - 9. Calculate 3*d(q) + 8*h(q).
q**3 - 2*q**2 + 6
Let s(w) = -w**2 - w + 1. Let h(x) = -x**2 - x - 4. Determine -h(r) + 2*s(r).
-r**2 - r + 6
Let u(f) = f**3 + f. Let k = 1 - 10. Let z(a) = a**2 + 7*a - 12. Let d be z(k). Let h(j) = -2*j**3 - 3*j. Calculate d*u(r) + 2*h(r).
2*r**3
Let z = -7 + 11. Let j = 28 + -31. Let m(q) = 4*q**3 + 3*q**2 + 3*q - 3. Let x(h) = 5*h**3 + 4*h**2 + 4*h - 4. Calculate j*x(y) + z*m(y).
y**3
Let j(u) = -22*u**2 + 6*u + 31. Let v(a) = -15*a**2 + 4*a + 21. Let m(g) = 5*j(g) - 7*v(g). Let s(h) = -4*h**2 + 2*h + 7. Give -5*m(x) + 6*s(x).
x**2 + 2*x + 2
Let m(p) = p + 1. Let f(o) = -6*o - 2. Give f(t) + 5*m(t).
-t + 3
Let v(g) = -g**3 - g**2 - g + 1. Let t(z) = -8*z**3 - 3*z**2 - 4*z + 5. What is -t(r) + 5*v(r)?
3*r**3 - 2*r**2 - r
Let w(a) = -a**2 - 3*a + 4. Let j(y) = y**2 + 2*y - 3. Calculate 4*j(h) + 3*w(h).
h**2 - h
Let n = -185 - -186. Let j(c) = -c + 4. Let w(p) = -p + 5. Let h(b) = 5*j(b) - 4*w(b). Let y(u) = -u - 1. Calculate n*y(l) - 2*h(l).
l - 1
Let g(x) = x + 1. Let l(h) = -6*h + 4. Calculate -4*g(j) + l(j).
-10*j
Let l(k) = -k - 1. Let n be l(-5). Suppose 4*x = t - 6*t - 29, 3*x + n*t = -23. Let u(w) = -w + 3. Let p(h) = -1. Give x*u(c) - 3*p(c).
c
Let n(r) = 5*r**2 + 5*r + 11. Let k(i) = -3*i**2 - 3*i - 7. Suppose 30 = 7*y - 5. What is y*n(q) + 8*k(q)?
q**2 + q - 1
Let u(x) = 7*x**2 + 9*x + 2. Let s(v) = -4*v**2 - 5*v - 1. Determine -5*s(g) - 3*u(g).
-g**2 - 2*g - 1
Let d(l) = -7. Let k(q) = q + 8. What is 3*d(b) + 4*k(b)?
4*b + 11
Let d(t) = t**2 - 13*t + 7. Let o(x) = 4*x - 2. Let w be (-3)/(-9) + 124/(-3). Let a = 19 + w. Let v = 15 + a. What is v*o(k) - 2*d(k)?
-2*k**2 - 2*k
Let c(h) = h**3 + 7*h**2 + 8*h + 9. Let n be c(-6). Let y(s) = 5*s. Let z = -4 + 6. Let a(j) = j + z*j + j. What is n*y(u) + 4*a(u)?
u
Let i(k) = -3*k**2 - 4*k + 4. Let z(h) = 21*h**2 + 27*h - 27. Suppose 4*r + 116 - 10 = o, -5*r + 2*o = 131. Calculate r*i(n) - 4*z(n).
-3*n**2
Let k(i) = i**3 - 7*i**2 - 6*i - 18. Let o(g) = g**2 + g + 1. Determine k(u) + 6*o(u).
u**3 - u**2 - 12
Let y(o) = o**2 + 5*o. Let p(z) = z**2 + 4*z. Give -5*p(d) + 4*y(d).
-d**2
Let l(s) = 4*s**2 + 9*s - 9. Let o be (-1 + 0/2)*18. Let g(c) = c**2 + 2*c - 2. Determine o*g(q) + 4*l(q).
-2*q**2
Let a(n) = -2*n**2 + n - 9. Let x(v) = -v**2 + v - 9. Calculate -3*a(z) + 4*x(z).
2*z**2 + z - 9
Let p(r) = -9*r + 4. Let k(w) = 8*w - 3. What is 7*k(a) + 6*p(a)?
2*a + 3
Let d(o) = o - 1. Let l = -130 + 112. Let c(h) = 8*h - 10. What is l*d(f) + 2*c(f)?
-2*f - 2
Let c(h) = -11*h**3 + 9*h**2. Let i(q) = -q**3 + q**2. Give 2*c(d) - 18*i(d).
-4*d**3
Let f = -18 + 19. Let k(j) = j - 1. Let p(u) = 2*u**3 + 5*u**2 + u. Let t(i) = -2*i**3 - 6*i**2 - 2*i + 1. Let c(o) = 6*p(o) + 5*t(o). Give f*c(b) + 5*k(b).
2*b**3 + b
Let k(f) = -8*f + 7. Let x(t) = -16*t + 15. Determine 13*k(s) - 6*x(s).
-8*s + 1
Let r(d) = -5 - 7 + 3*d + 9. Let v(o) = 1. Calculate -r(c) - 3*v(c).
-3*c
Let f(r) = r. Let j(y) = 2*y**2 + 2*y + 1. Suppose 4*q + 0*t + 3 = 3*t, -2*q = 5*t + 21. Calculate q*f(b) + j(b).
2*b**2 - b + 1
Let o(u) = -4*u**3 - 2*u**2 - 4*u + 2. Let l(p) = 4*p**3 + p**2 + 3*p - 2. Give 4*l(j) + 3*o(j).
4*j**3 - 2*j**2 - 2
Let g(p) = -4*p + 4. Let l be (-42)/(-9) + 4/(-6). Let k(i) = i + 1. Let c(f) = 3*f + 4. Let m(w) = l*c(w) - 14*k(w). Let v be 1*6/9*3. Give v*g(r) - 5*m(r).
2*r - 2
Let d(k) = 1 + 6 - 2 + 2*k - k. Let j be 1/(-1) - (4 - 6). Let x(y) = 1. Let h(n) = 5. Let w(p) = j*h(p) - 6*x(p). Give 2*d(g) + 9*w(g).
2*g + 1
Let p(o) = 3*o**2 - o. Let n(v) be the first derivative of -v**4/4 - 8*v**3/3 + v**2 + 23. Give 3*n(r) + 8*p(r).
-3*r**3 - 2*r
Let o(i) = -i**3 + 5*i**2 + 4*i + 2. Let q(m) = 2*m**3 - 6*m**2 - 5*m - 2. Calculate 4*o(u) + 3*q(u).
2*u**3 + 2*u**2 + u + 2
Let d(l) be the third derivative of -7*l**5/30 + 7*l**4/12 - l**3/2 + 2*l**2. Let k(u) = -9*u**2 + 9*u - 2. Calculate -5*d(t) + 8*k(t).
-2*t**2 + 2*t - 1
Let c(r) = -r + 3. Let a(g) = -g. Let b(y) = -2*a(y) + c(y). Let i(l) = -4*l - 11. Calculate 22*b(s) + 6*i(s).
-2*s
Let w(n) = n. Let k(x) = x**2 - 6*x. Let f be 3*4*(-3)/(-36). Calculate f*k(u) + 6*w(u).
u**2
Let t(r) = 3*r + 4. Let a be t(-3). Let s = 6 + -12. Let j(w) = -4*w**2 + 5*w + 5. Let c(f) = 5*f**2 - 6*f - 6. Determine a*c(n) + s*j(n).
-n**2
Let c(d) = -d**3 + d**2. Let k(g) be the third derivative of g**6/24 - g**5/15 - 3*g**2. What is -4*c(h) - k(h)?
-h**3
Let l(z) = z**3 + 2*z**2 + 7. Let n(p) = -p**2 + 1. What is -l(g) - 2*n(g)?
-g**3 - 9
Let i = 2 - 5. Let y(c) = 16*c**3 + 4*c - 10. Let a(s) = -s - 5. Let t be a(5). Let o(j) = -5*j - 5*j**3 + 2*j + 4*j + 3 - 2*j. Give i*y(f) + t*o(f).
2*f**3 - 2*f
Let b(z) = 7*z**3 - 3*z**2 + 3. Let q(w) = -7*w**3 + 4*w**2 - 4. What is -4*b(f) - 3*q(f)?
-7*f**3
Let r(l) = -5*l**2 + 2*l - 5. Let s(i) = i**2 - i + 1. Let y(n) = n. Let h(o) = s(o) + y(o). Let k = 4 - 10. Let g = k + 12. Calculate g*h(m) + r(m).
m**2 + 2*m + 1
Let n(m) = 2*m + 9. Let w(t) = 3*t + 10. Determine 5*n(q) - 4*w(q).
-2*q + 5
Let s(g) = g**2 + 5. Let k = -17 + 63. Let j(x) = -x**2 - 9*x - 10. Let l be j(-7). Suppose -k = l*a + 2. Let v(z) = -2*z**2 - 12. Determine a*s(m) - 5*v(m).
-2*m**2
Let h(k) = 5*k. Let o(c) = 3*c. Let r(y) = -13*y. Let n(w) = -12*o(w) - 3*r(w). Give -5*h(l) + 8*n(l).
-l
Let h(g) be the second derivative of -1/3*g**3 + 0 + g**2 + 1/12*g**4 - 3*g. Let n(l) = 4*l**2 - 9*l + 9. Determine -9*h(k) + 2*n(k).
-k**2
Let k(v) = 14*v**2. Let u(c) = 13*c**2. Give -6*k(x) + 7*u(x).
7*x**2
Let j(y) = -14*y + 9. Let g(p) = -7*p + 4. Determine 5*g(i) - 2*j(i).
-7*i + 2
Let t(i) = -2*i - 6. Let u = 176 + -172. Let a(j) = 5*j + 17. What is u*a(n) + 11*t(n)?
-2*n + 2
Let m(a) = -21*a + 7 + 21*a - a**2. Let d(q) = 4*q**2 + q**2 - 4*q**2 + 5 - 2*q**2. What is 7*d(n) - 5*m(n)?
-2*n**2
Let i(x) be the third derivative of -x**4/6 - x**3/6 - 4*x**2. Let w(a) = 9*a + 2. Give 14*i(s) + 6*w(s).
-2*s - 2
Let l(g) = g**2 + 2*g + 2. Let z(q) = -3*q - 3. Give 3*l(m) + 2*z(m).
3*m**2
Let w(q) = 56*q**2 - 21. Let i(o) = -11*o**2 + 4. Determine 21*i(k) + 4*w(k).
-7*k**2
Let j(n) = -n**2 - 2*n - 5. Let b(r) = -r**2. Give -3*b(f) + j(f).
2*f**2 - 2*f - 5
Let n(v) = 7. Let f(d) = -4. Let l(t) = 5*f(t) + 3*n(t). Let j(c) = c**2 - 3 + 5 - 4. Give -j(q) - l(q).
-q**2 + 1
Let v(f) = 25*f**2 + 9*f - 5. Let u(j) = 13*j**2 + 4*j - 2. Determine 9*u(i) - 4*v(i).
17*i**2 + 2
Let x(i) be the second derivative of -i**4/12 + i**3/6 - i**2 + 3*i. Let a(d) = d - 1. Determine -2*a(p) + 2*x(p).
-2*p**2 - 2
Let u(c) = 6*c**2 - c + 1. Let x(f) = -f**2. Suppose -s - 2 = s. Let z be ((-8)/24)/(s/(-3)). What is z*u(j) - 4*x(j)?
-2*j**2 + j - 1
Let h = 24 + -11. Let x(t) = -19*t. Let w(g) = 9*g. Determine h*w(k) + 6*x(k).
3*k
Let g(h) = -h. Let u(x) be the first derivative of -4*x**2 + x + 76. Let v = -22 + 36. Give v*g(c) - 2*u(c).
2*c - 2
Let f(x) be the third derivative of -x**4/24 + x**3/6 + 49*x**2. Let k(q) = -4*q + 4. Give -9*f(g) + 2*k(g).
g - 1
Let m(u) be the first derivative of u**4 + 16*u**3/3 - 8*u**2 + 8. Let v(q) = -q**2 + q. What is -m(w) - 16*v(w)?
-4*w**3
Let y(t) = -t**2 - 4*t. Let d(a) = -3*a**2 - 11*a. Suppose 4*s + n = 33, -3*n + 10 = s - n. What is s*y(b) - 3*d(b)?
b**2 + b
Let h be (3 + -1 - -4)*-1. Let o(w) = -1. Let u be (1/2)/((-2)/(-4)). Let d(l) = -2*l - 6. What is h*o(y) + u*d(y)?
-2*y
Let v(d) = -2*d**2 + 3*d - 9. Let j(s) = -3*s**2 + 4*s - 10. Determine 5*j(a) - 6*v(a).
-3*a**2 + 2*a + 4
Let p(y) = -13*y - 5. Let f(a) = 27*a + 11. Let u(z) = -4*f(z) - 7*p(z). Let i(q) = -6*q - 3. Calculate -11*i(s) + 4*u(s).
-2*s - 3
Let b(i) = -8*i**2 + i + 2. Let f(t) = 16*t**2 - 3*t - 5. Determine 5*b(r) + 2*f(r).
-8*r**2 - r
Let c(i) = 551*i + 87. Let f(r) = 25*r + 4. What is -4*c(w) + 87*f(w)?
-29*w
Let d(p) = -26*p**2 - 9*p. Let n(c) = 13*c**2 + 5*c. Determine -4*d(l) - 7*n(l).
13*l**2 + l
Let q(j) be the second derivative of j**4/12 + j**3/6 + j**2/2 - 40*j + 1. Let l(y) = y**3 + 3*y**2 + 4*y + 7. Determine l(u) - 3*q(u).
u**3 + u + 4
Let r(o) = 3*o**2 + 1. Suppose 2*c + 0*c + 4*j = 30, -5*j = -25. Let h(k) = 2 + 8*k**2 + k - k**2 + 0. Determine c*r(g) - 2*h(g).
g**2 - 2*g + 1
Let y(n) = -2*n + 2. Let r(o) = 4*o - 3. What is 2*r(t) + 5*y(t)?
-2*t + 4
Let y(h) = 2*h**2 + 11*h + 11. Let s(i) = -i**2 - 6*i - 6. Let g = 29 - 18. Calculate g*s(u) + 6*y(u) | {
"pile_set_name": "DM Mathematics"
} |
inutes are there between 8:55 AM and 6:33 PM?
578
What is 92 minutes after 8:23 AM?
9:55 AM
What is 669 minutes after 9:15 PM?
8:24 AM
What is 293 minutes before 9:16 AM?
4:23 AM
What is 596 minutes after 9:32 AM?
7:28 PM
How many minutes are there between 4:07 AM and 10:19 AM?
372
What is 584 minutes after 10:25 AM?
8:09 PM
What is 628 minutes before 5:29 PM?
7:01 AM
What is 36 minutes before 2:23 AM?
1:47 AM
How many minutes are there between 4:30 PM and 5:22 PM?
52
How many minutes are there between 8:15 PM and 6:42 AM?
627
What is 689 minutes before 9:14 AM?
9:45 PM
What is 76 minutes before 5:06 AM?
3:50 AM
What is 689 minutes after 2:08 PM?
1:37 AM
How many minutes are there between 11:27 AM and 8:33 PM?
546
How many minutes are there between 5:07 PM and 3:32 AM?
625
How many minutes are there between 3:01 AM and 11:56 AM?
535
How many minutes are there between 8:03 AM and 1:34 PM?
331
What is 270 minutes after 1:15 AM?
5:45 AM
How many minutes are there between 8:39 PM and 8:38 AM?
719
What is 153 minutes before 6:51 AM?
4:18 AM
How many minutes are there between 11:03 AM and 11:55 AM?
52
What is 170 minutes after 1:39 PM?
4:29 PM
How many minutes are there between 4:20 PM and 12:48 AM?
508
What is 327 minutes before 11:54 AM?
6:27 AM
What is 353 minutes after 11:17 AM?
5:10 PM
How many minutes are there between 1:56 PM and 4:18 PM?
142
How many minutes are there between 3:13 PM and 3:27 PM?
14
How many minutes are there between 5:45 PM and 4:09 AM?
624
What is 305 minutes before 1:07 AM?
8:02 PM
How many minutes are there between 10:12 AM and 5:02 PM?
410
What is 11 minutes before 5:59 AM?
5:48 AM
How many minutes are there between 9:53 PM and 2:05 AM?
252
What is 139 minutes after 5:25 PM?
7:44 PM
What is 631 minutes after 7:10 PM?
5:41 AM
What is 88 minutes after 4:42 AM?
6:10 AM
What is 679 minutes after 8:12 AM?
7:31 PM
How many minutes are there between 4:38 AM and 4:22 PM?
704
How many minutes are there between 9:33 AM and 9:04 PM?
691
How many minutes are there between 5:29 AM and 7:12 AM?
103
How many minutes are there between 7:42 AM and 11:46 AM?
244
How many minutes are there between 3:49 AM and 6:39 AM?
170
What is 482 minutes after 5:02 AM?
1:04 PM
How many minutes are there between 4:32 AM and 9:59 AM?
327
How many minutes are there between 11:12 PM and 2:36 AM?
204
How many minutes are there between 7:48 PM and 2:48 AM?
420
How many minutes are there between 7:49 AM and 4:23 PM?
514
How many minutes are there between 9:02 PM and 4:54 AM?
472
How many minutes are there between 2:51 AM and 1:34 PM?
643
What is 159 minutes after 3:31 PM?
6:10 PM
What is 467 minutes before 10:41 AM?
2:54 AM
How many minutes are there between 2:57 PM and 10:22 PM?
445
What is 524 minutes before 7:37 AM?
10:53 PM
What is 14 minutes before 8:47 PM?
8:33 PM
How many minutes are there between 10:03 PM and 5:07 AM?
424
How many minutes are there between 6:47 PM and 2:25 AM?
458
How many minutes are there between 3:03 PM and 2:58 AM?
715
What is 166 minutes after 5:45 PM?
8:31 PM
What is 315 minutes after 2:34 PM?
7:49 PM
What is 505 minutes before 7:03 AM?
10:38 PM
How many minutes are there between 2:24 PM and 10:29 PM?
485
What is 63 minutes before 9:09 AM?
8:06 AM
What is 538 minutes after 8:37 PM?
5:35 AM
How many minutes are there between 2:38 PM and 10:59 PM?
501
How many minutes are there between 5:38 AM and 5:07 PM?
689
What is 481 minutes after 7:55 PM?
3:56 AM
What is 665 minutes after 2:57 PM?
2:02 AM
How many minutes are there between 1:28 AM and 12:11 PM?
643
What is 313 minutes before 3:53 AM?
10:40 PM
What is 387 minutes after 2:00 PM?
8:27 PM
What is 39 minutes before 8:24 PM?
7:45 PM
What is 564 minutes before 3:28 AM?
6:04 PM
How many minutes are there between 12:59 PM and 1:03 PM?
4
How many minutes are there between 5:05 AM and 9:17 AM?
252
How many minutes are there between 2:59 PM and 9:25 PM?
386
How many minutes are there between 8:06 AM and 7:45 PM?
699
How many minutes are there between 6:23 PM and 6:09 AM?
706
How many minutes are there between 12:16 PM and 2:50 PM?
154
What is 11 minutes after 2:42 PM?
2:53 PM
What is 132 minutes before 5:39 AM?
3:27 AM
How many minutes are there between 12:37 PM and 7:31 PM?
414
What is 277 minutes after 4:21 PM?
8:58 PM
What is 260 minutes before 1:53 PM?
9:33 AM
What is 490 minutes before 9:08 PM?
12:58 PM
How many minutes are there between 9:45 PM and 3:26 AM?
341
What is 507 minutes before 11:20 PM?
2:53 PM
How many minutes are there between 4:25 PM and 11:15 PM?
410
How many minutes are there between 12:45 AM and 10:54 AM?
609
What is 664 minutes before 1:45 PM?
2:41 AM
What is 289 minutes after 9:35 PM?
2:24 AM
How many minutes are there between 4:05 PM and 6:29 PM?
144
How many minutes are there between 8:04 PM and 9:42 PM?
98
What is 663 minutes after 6:51 PM?
5:54 AM
What is 103 minutes after 9:37 PM?
11:20 PM
How many minutes are there between 1:59 PM and 4:54 PM?
175
What is 244 minutes after 8:25 PM?
12:29 AM
How many minutes are there between 10:23 PM and 9:06 AM?
643
What is 682 minutes after 4:36 PM?
3:58 AM
What is 238 minutes before 11:14 PM?
7:16 PM
What is 250 minutes before 4:13 AM?
12:03 AM
How many minutes are there between 4:41 AM and 4:27 PM?
706
What is 585 minutes before 5:14 PM?
7:29 AM
What is 547 minutes after 7:01 AM?
4:08 PM
How many minutes are there between 4:23 PM and 3:28 AM?
665
What is 680 minutes after 5:45 AM?
5:05 PM
How many minutes are there between 8:48 AM and 1:58 PM?
310
How many minutes are there between 2:00 PM and 4:40 PM?
160
How many minutes are there between 7:10 AM and 12:47 PM?
337
What is 173 minutes after 9:18 PM?
12:11 AM
What is 77 minutes after 5:47 PM?
7:04 PM
What is 502 minutes after 1:49 AM?
10:11 AM
What is 538 minutes before 2:46 PM?
5:48 AM
What is 52 minutes before 5:37 AM?
4:45 AM
What is 120 minutes after 4:23 PM?
6:23 PM
How many minutes are there between 1:05 AM and 3:21 AM?
136
How many minutes are there between 2:12 PM and 12:42 AM?
630
What is 374 minutes after 5:24 AM?
11:38 AM
What is 611 minutes before 3:22 PM?
5:11 AM
What is 141 minutes after 8:39 AM?
11:00 AM
What is 480 minutes after 9:43 PM?
5:43 AM
What is 610 minutes before 6:59 PM?
8:49 AM
What is 679 minutes after 7:34 AM?
6:53 PM
How many minutes are there between 6:19 PM and 12:30 AM?
371
How many minutes are there between 3:51 PM and 12:43 AM?
532
How many minutes are there between 7:19 PM and 10:12 PM?
173
What is 681 minutes after 9:42 PM?
9:03 AM
What is 77 minutes before 7:12 AM?
5:55 AM
What is 111 minutes before 4:55 AM?
3:04 AM
How many minutes are there between 7:34 AM and 7:38 AM?
4
What is 152 minutes before 4:56 PM?
2:24 PM
How many minutes are there between 7:51 AM and 6:18 PM?
627
How many minutes are there between 3:02 PM and 3:08 PM?
6
What is 399 minutes before 3:12 PM?
8:33 AM
How many minutes are there between 12:19 PM and 2:16 PM?
117
What is 710 minutes before 5:29 AM?
5:39 PM
How many minutes are there between 12:57 AM and 4:21 AM?
204
How many minutes are there between 12:29 PM and 3:01 PM?
152
How many minutes are there between 6:14 PM and 12:39 AM?
385
How many minutes are there between 4:34 PM and 3:21 AM?
647
How many minutes are there between 8:42 PM and 8:11 AM?
689
How many minutes are there between 11:09 PM and 4:29 AM?
320
How many minutes are there between 1:01 PM and 6:45 PM?
344
What is 702 minutes before 1:47 AM?
2:05 PM
What is 677 minutes after 7:11 PM?
6:28 AM
What is 300 minutes before 12:17 AM?
7:17 PM
How many minutes are there between 2:45 PM and 12:15 AM?
570
What is 231 minutes after 8:39 AM?
12:30 PM
What is 647 minutes before 8:58 AM?
10:11 PM
What is 539 minutes before 7:31 AM?
10:32 PM
What is 670 minutes before 1:47 AM?
2:37 PM
How many minutes are there between 5:30 AM and 10:00 AM?
270
What is 652 minutes before 1:17 PM?
2:25 AM
What is 388 minutes after 8:19 AM?
2:47 PM
What is 643 minutes after 7:37 PM?
6:20 AM
How many minutes are there between 7:42 AM and 8:23 AM?
41
What is 246 minutes before 5:45 AM?
1:39 AM
What is 345 minutes after 2:24 AM?
8:09 AM
What is 35 minutes before 6:25 AM?
5:50 AM
What is 459 minutes after 6:02 PM?
1:41 AM
How many minutes are there between 7:44 AM and 11:57 A | {
"pile_set_name": "DM Mathematics"
} |
(c) x
c
Let q = -6 + 6.06. Suppose 0 = -4*u - 16 + 12. Which is the third smallest value? (a) -4 (b) q (c) u
b
Let o = 2 - 2.3. Let v = -1.5 + 1. Which is the second smallest value? (a) v (b) 1 (c) o
c
Let m be 4/72*6*3. Which is the second biggest value? (a) -0.06 (b) 0 (c) m (d) 0.1
d
Suppose -2*u = 2*u - 56. Suppose 4*t + 12 = -2*d, -5*d - u = -4*t + 2. Which is the smallest value? (a) d (b) -5 (c) -1/2
b
Suppose -47 = 2*b - b. Let k = -140/3 - b. What is the third smallest value in 5, -2/15, k?
5
Let w = -0.9 + 6.9. Let k = -7 + w. Let l = 7 + -4. Which is the biggest value? (a) l (b) 1 (c) k
a
Let k = 0.17 - -1.23. Let r = k + -1.2. What is the biggest value in -3, r, 1?
1
Let c = -126 - -131. What is the fourth smallest value in 11, -1, c, 1?
11
Let t = -1.7 - -1. Let u = -1 + 0.7. Let v = t - u. What is the second smallest value in v, -5, -0.05?
v
Let b = 29.1 + -29. Let a = 1.1 - 0.1. What is the second smallest value in a, 0.2, b?
0.2
Let z = -8 - -7.9. Let v = -204/5 - -41. Which is the smallest value? (a) -5 (b) v (c) z
a
Let s be (2/14)/(20/14). Let h(y) = 5*y - 5. Let b be h(2). What is the third biggest value in s, -2/5, b?
-2/5
Suppose -9 - 7 = 4*j. Let i be (6/18)/(2/j). What is the smallest value in i, -1, -0.2?
-1
Let j = -0.3 + 0.8. Let h = -1/51 + 55/204. Which is the second biggest value? (a) j (b) h (c) 0.1
b
Let f = 86 - 86. Which is the third smallest value? (a) -1/4 (b) f (c) 11 (d) 2/3
d
Let d = 3 - 2. Let s = -5.5 + -0.5. Which is the smallest value? (a) s (b) d (c) 0.5
a
Let g = 175 - 173.4. Which is the fourth biggest value? (a) 2/7 (b) -1/8 (c) g (d) 3
b
Let p = -16 - -15.7. What is the fourth biggest value in 7, 1/4, -5, p?
-5
Let h be (-6)/(-20)*(1 + -3). Suppose -7 = 4*l + u, 0*u - 28 = l - 5*u. Which is the smallest value? (a) l (b) h (c) 2
a
Suppose -12 = -4*f, 8*o - 12 = 3*o + f. Suppose 3*t - 5*s + 19 = 0, 0 = 4*t - o*s - 0*s + 18. Let i = 81/2 - 39. What is the second smallest value in 2, t, i?
i
Let p = 3 + -3.01. Let x = 72/203 + -2/29. Which is the smallest value? (a) p (b) x (c) -1
c
Let m be (-1)/(-1)*(11 + -6). Suppose -m*b + 28 = -12. Suppose 7*g - b*g - 3 = 0. What is the third biggest value in g, 3, 0.2?
g
Let z = 6 - -1. Let m = z - 6.9. What is the third smallest value in 4, m, -0.2?
4
Let b = -13 - -15. Let r = -379/2717 - 3/209. What is the third smallest value in r, 1/3, b?
b
Suppose 0 = -5*x + 5 + 5. Let d = -2.99 + 3. Let k = 2.99 + d. What is the biggest value in 1, x, k?
k
Let o = -197 + 176. What is the second biggest value in -2/3, -4, o?
-4
Let j = -43641816690 + 1649966163829523/37807. Let x = j - -1/491. Let r = -64/11 + x. Which is the third smallest value? (a) -2/5 (b) 3 (c) r
b
Let i = 81 + -165/2. Which is the third biggest value? (a) i (b) 0.1 (c) -2
c
Let l = 0.6 - 1.8. Let k = -3.2 - l. Let j = 5 - 4.6. Which is the third smallest value? (a) j (b) k (c) 0.1
a
Let n = -92 - -88. Let i = 5 + -8. Which is the second biggest value? (a) n (b) i (c) 0.5
b
Let w be ((-15)/20)/((-1)/36). Let z be 2*(w/(-42))/(-9). Which is the third smallest value? (a) z (b) 0 (c) 1/5
c
Let v = -18 - -15.4. Let u = 0.6 + v. Which is the biggest value? (a) -0.4 (b) u (c) 4
c
Let g = 9 + -3. Let n = 23 + -34. Let s = n + g. Which is the biggest value? (a) s (b) 2 (c) 0
b
Let q be ((-8)/(-6))/((-16)/24). Which is the second smallest value? (a) -1/3 (b) q (c) -0.06
a
Let p = -14.5 + 15. What is the biggest value in p, -2/9, -0.1?
p
Let x = 37 - 38. What is the second biggest value in -3, 3, x?
x
Let z be ((-148)/(-36) - 4)*2. What is the third smallest value in -3, 3/4, z?
3/4
Let f = -0.436 - -0.036. Which is the third biggest value? (a) 22 (b) -2 (c) f
b
Suppose -7 = -2*d + n, 0*n - 7 = 4*d + 5*n. Which is the second smallest value? (a) 5/9 (b) d (c) 1
c
Suppose -3*u = -15 - 33. Let q be (-12)/u*1/3. Which is the biggest value? (a) q (b) -0.3 (c) 2
c
Let f = 1 - 0. Which is the biggest value? (a) -2 (b) f (c) -0.3
b
Let z = 0.01 + 0.39. Which is the biggest value? (a) -5 (b) 2 (c) z
b
Let n = -1/46 + -11/23. What is the third smallest value in -2, -1, n, 0.5?
n
Let z = -1.3 + 0.3. Let i = -33 - -31.8. Let c = i - z. What is the second smallest value in c, 0.2, -5?
c
Let l = 88 - 617/7. Let f = 2 - 4. Which is the second smallest value? (a) l (b) f (c) 2
a
Let c = 12 + -14. What is the second smallest value in -0.5, -3, c?
c
Suppose 0 = -9*q - 80 - 37. What is the third biggest value in -2, q, -0.3?
q
Let l = -0.8 + -2.2. Let h = 5.37 + -0.37. Let a = l + h. What is the second biggest value in -5/2, -5, a?
-5/2
Let w = 7 + -7.1. Let r = w - -0.5. Which is the third smallest value? (a) r (b) 2 (c) 1
b
Let f be 3/15*-2 - -1. Let m(g) = 3*g - 7. Let h be m(5). Suppose -2*p - h = -0. What is the second biggest value in -0.4, p, f?
-0.4
Let j = 0.3 + -0.2. Suppose -5*w + 38 = -4*l - 0*l, 5*w - 3*l - 41 = 0. Let c be w/4*(-36)/(-30). What is the third smallest value in -2/15, c, j?
c
Let f be 4/14 - 8/28. Suppose f*u + 2*u + 38 = 4*d, 4*u + 5*d = -11. Let v be ((-2)/(-9))/((-6)/u). What is the third biggest value in 0.1, 3/4, v?
0.1
Let v = -12 - -11.3. Let k = 0.7 + v. Which is the biggest value? (a) -2 (b) k (c) 2/9
c
Let t be (-12)/(-4) + 58/(-18). Let o = -1.7 + -7.3. Let p = 6 + o. Which is the second biggest value? (a) p (b) t (c) 0.5
b
Let r(v) = -v + 7. Let k be r(5). Let u = -7 + 7.44. Let j = u + -0.04. What is the biggest value in j, 5, k?
5
Let h = -35 - -30. Let j(i) = -i**3. Let n be j(1). What is the smallest value in n, 0.5, h?
h
Let l = 2/13 + 9/13. Let t = l - 73/117. Which is the second biggest value? (a) 3 (b) -2/9 (c) t
c
Let b = 0.85 + -0.05. Let n = -0.2 - b. What is the third biggest value in n, 3/2, 0.1?
n
Let w be 52/40 - 3/2. Which is the biggest value? (a) w (b) 5 (c) 0.5
b
Let z = -5.2 + 9.11. Let m = 0.09 + z. What is the third smallest value in 3/7, m, -5?
m
Let r = 2 + -5. Let p be (0 + 6/(-15))/33. Let l = p - -674/1155. What is the third smallest value in l, 0.3, r?
l
Let q be 580/(-28) + (-4)/14. Let w = q + 22. What is the second biggest value in 2/5, w, -2/13?
2/5
Let o = -57.06 - -61. Let l = 0.06 + o. Let z = -9/16 + 3/16. Which is the second smallest value? (a) l (b) -0.4 (c) z
c
Let v be (-4)/(-12) - (-2)/12. Which is the third smallest value? (a) v (b) -3 (c) -1/7
a
Let p be 6/4*2/(-3). What is the biggest value in p, -4, -0.2?
-0.2
Let o = -1243/5 - -247. What is the third biggest value in 5, 4, -3, o?
o
Let w = -8 - -16. Let j(u) = 0*u + 6 + 4 - u. Let y be j(w). Which is the third smallest value? (a) 1/7 (b) y (c) 4
c
Let u = -79 - -83. Let v = -3.1 + 3. What is the third smallest value in -4, u, v?
u
Let v = 758/7 + -108. Let x = -1 - -1. Suppose -a = -x*a + 3, 3*o = -3*a. What is the third biggest value in v, o, 0?
0
Let h(n) = n**2. Let o be h(-1). Which is the smallest value? (a) o (b) 0 (c) -1/4
c
Let i(w) = w + 5. Let r(s) = -4. Let y(b) = 4*i(b) + 5*r(b). Let v be y(1). What is the second smallest value in -3, v, -2/5?
-2/5
Let k be (-3 + 1 - -3)/2. Let y = -0.8 + 1. Let l = 700/9 + -78. What is the third smallest value in l, y, k?
k
Let z = 0.1 + -0.1. Let t = 3 - 2.9. Which is the third biggest value? (a) t (b) z (c) -1/5
c
Suppose 0 = 2*d - h + 5, 3*d + 6*h - 9 = 2*h. Let s = 165 - 496/3. What is the second biggest value in d, s, 2?
s
Let g be (12/(-14))/((-42)/(-28)). Which is the biggest value? (a) 0.2 (b) g (c) -2
a
Let a = -10 + -1. What is the third biggest value in a, 5, -3?
a
Let m = -0.007 - 0.093. Which is the second smallest value? (a) 0.4 (b) m (c) 21
a
Let i = -0.3 - -0.5. Let m = 3.6 + -3.5. Let q = 578/3 + -191. Which is the third biggest value? (a) i (b) m (c) q
b
Let c = -42 - -6. Let g be 0 - (-3)/c*3. What is the third smallest value in -8, 0.2, g?
0.2
Let h be ((-2074)/45)/((-298)/(-3)). Let o = 2/745 - h. Let p = 19/105 - o. Which is the third biggest value? (a) 0.5 (b) p (c) -4
c
Let f = 32/13 + -217/104. Let d = -7/8 + f. Which is the third smallest value? (a) 2/7 (b) -3 (c) d
a
Let v = -63.14 - -63. What is the third smallest value in -1, 1, v, -0.1?
-0.1
Let v = -7 + 10. Let z be (-11)/(-6) + -1 + -1. Wh | {
"pile_set_name": "DM Mathematics"
} |
s picked without replacement from {o: 2, n: 1, m: 6, r: 4}. Give prob of sequence oor.
2/429
Three letters picked without replacement from {k: 5}. Give prob of sequence kkk.
1
Three letters picked without replacement from zzzqzzlzzzzzzzzz. What is prob of sequence qzz?
13/240
What is prob of sequence xx when two letters picked without replacement from uuuuxxuxuxuuuuxu?
1/12
What is prob of sequence wm when two letters picked without replacement from wmmwwwmmwwwwmwww?
11/48
Four letters picked without replacement from {f: 1, i: 1, t: 1, c: 2, v: 1, a: 2}. What is prob of sequence ciac?
1/420
Calculate prob of sequence wwk when three letters picked without replacement from {w: 3, k: 3}.
3/20
Three letters picked without replacement from {b: 1, u: 5, t: 6, z: 4}. Give prob of sequence utu.
1/28
Four letters picked without replacement from jjcdejcgdcjcejj. What is prob of sequence degc?
2/4095
Four letters picked without replacement from {r: 4, a: 2, h: 1, k: 2}. Give prob of sequence krrk.
1/126
Four letters picked without replacement from {q: 1, z: 2, j: 2, b: 1}. What is prob of sequence bjzz?
1/90
Three letters picked without replacement from {m: 5, k: 2, n: 4}. Give prob of sequence mmk.
4/99
What is prob of sequence sgv when three letters picked without replacement from sgvvm?
1/30
Two letters picked without replacement from pppg. What is prob of sequence pg?
1/4
Three letters picked without replacement from {g: 2, r: 4, t: 6}. Give prob of sequence tgg.
1/110
Four letters picked without replacement from odgooopdpd. What is prob of sequence dogo?
1/140
Calculate prob of sequence hhw when three letters picked without replacement from hhhwhhhwww.
1/6
Four letters picked without replacement from {g: 6, c: 6, u: 1, r: 1, t: 1, q: 1}. What is prob of sequence qrcu?
1/7280
Four letters picked without replacement from {h: 3, q: 1, l: 6, v: 9}. Give prob of sequence vvhq.
3/1292
Four letters picked without replacement from uuuuuxuuxuuuxxux. What is prob of sequence xuxu?
55/1092
What is prob of sequence axxa when four letters picked without replacement from {a: 2, x: 11}?
1/78
What is prob of sequence cclz when four letters picked without replacement from lkkkkkczrlkcrkz?
1/4095
Four letters picked without replacement from {i: 3, g: 2}. Give prob of sequence iigi.
1/10
What is prob of sequence jdjj when four letters picked without replacement from jjjdjd?
2/15
Three letters picked without replacement from pppfpfppffffpffpffp. Give prob of sequence fpp.
40/323
Two letters picked without replacement from aawjace. What is prob of sequence wa?
1/14
Three letters picked without replacement from mrrbrrmrrrrbrr. What is prob of sequence brr?
15/182
What is prob of sequence an when two letters picked without replacement from jnhoyaayyaooojj?
1/70
Two letters picked without replacement from hfsshzbyhbsfbz. Give prob of sequence fs.
3/91
Calculate prob of sequence zz when two letters picked without replacement from ezezee.
1/15
Calculate prob of sequence fwgf when four letters picked without replacement from cflfgfwfcllflfwgbw.
1/408
Calculate prob of sequence qxp when three letters picked without replacement from {p: 1, r: 2, q: 1, g: 1, x: 1, z: 2}.
1/336
Calculate prob of sequence xot when three letters picked without replacement from {t: 4, o: 2, c: 1, x: 6}.
4/143
Three letters picked without replacement from ipzzpziipiisii. Give prob of sequence ipp.
1/52
Four letters picked without replacement from npnqp. What is prob of sequence qpnn?
1/30
Three letters picked without replacement from {l: 2, s: 2, g: 11}. What is prob of sequence lsl?
2/1365
Four letters picked without replacement from deddededeediiiiidiii. What is prob of sequence eded?
7/969
What is prob of sequence gc when two letters picked without replacement from {k: 2, m: 1, c: 3, g: 3, o: 1, z: 5}?
3/70
Calculate prob of sequence wjfg when four letters picked without replacement from {c: 1, g: 2, w: 1, f: 4, j: 2}.
1/315
Four letters picked without replacement from {n: 8, u: 2}. What is prob of sequence nunn?
2/15
Calculate prob of sequence olf when three letters picked without replacement from {z: 1, l: 2, u: 1, f: 5, a: 5, o: 1}.
1/273
Three letters picked without replacement from {w: 4, i: 2}. Give prob of sequence www.
1/5
Two letters picked without replacement from iiiicciciiciii. What is prob of sequence cc?
6/91
Four letters picked without replacement from nrnnaarnrnrr. What is prob of sequence rnrn?
10/297
Calculate prob of sequence cccc when four letters picked without replacement from ucuuccccucuuccuc.
9/130
Two letters picked without replacement from {l: 8, e: 2}. What is prob of sequence ll?
28/45
Four letters picked without replacement from ncnnnnnnnnccnc. What is prob of sequence nncn?
120/1001
What is prob of sequence ee when two letters picked without replacement from {a: 2, e: 3, m: 4}?
1/12
Calculate prob of sequence ff when two letters picked without replacement from {f: 6, a: 3, k: 4}.
5/26
Calculate prob of sequence rr when two letters picked without replacement from rrrrr.
1
Two letters picked without replacement from {k: 4, e: 3, j: 6}. Give prob of sequence je.
3/26
Calculate prob of sequence tru when three letters picked without replacement from {q: 1, t: 1, a: 1, f: 1, u: 2, r: 1}.
1/105
Three letters picked without replacement from {x: 1, t: 1, v: 1, z: 1, p: 1}. Give prob of sequence pzt.
1/60
Two letters picked without replacement from yybmymsjmkymmy. Give prob of sequence jm.
5/182
What is prob of sequence ef when two letters picked without replacement from {e: 9, f: 3}?
9/44
Calculate prob of sequence ls when two letters picked without replacement from sblsblblblslsbbb.
1/12
Calculate prob of sequence iip when three letters picked without replacement from ipipppippiii.
3/22
Two letters picked without replacement from {a: 3, e: 5}. Give prob of sequence ae.
15/56
Four letters picked without replacement from {a: 3, p: 2, s: 15}. What is prob of sequence ssas?
91/1292
What is prob of sequence lllf when four letters picked without replacement from {f: 3, l: 7, w: 4, s: 1, g: 3}?
7/816
Three letters picked without replacement from {t: 1, v: 1, g: 3, m: 2, r: 5}. Give prob of sequence gmg.
1/110
Calculate prob of sequence wi when two letters picked without replacement from xwxixwnwuhxnxxu.
1/70
Two letters picked without replacement from {i: 1, f: 1, g: 2, j: 1}. What is prob of sequence jg?
1/10
Three letters picked without replacement from {t: 4, h: 1, s: 3}. What is prob of sequence sss?
1/56
Three letters picked without replacement from zpmpp. What is prob of sequence pzp?
1/10
Two letters picked without replacement from bibbpbi. Give prob of sequence bi.
4/21
What is prob of sequence eo when two letters picked without replacement from {m: 1, o: 2, a: 1, e: 1}?
1/10
Calculate prob of sequence dd when two letters picked without replacement from mmddddmdmddm.
7/22
Three letters picked without replacement from {l: 4, w: 3, f: 5, b: 4}. What is prob of sequence ffb?
1/42
What is prob of sequence jrir when four letters picked without replacement from {i: 1, r: 4, j: 6, p: 3}?
3/1001
Calculate prob of sequence xxix when four letters picked without replacement from {i: 3, x: 8}.
7/55
Three letters picked without replacement from vvvvvvv. What is prob of sequence vvv?
1
Four letters picked without replacement from {f: 10, b: 4}. Give prob of sequence bbbb.
1/1001
What is prob of sequence oaa when three letters picked without replacement from oaaa?
1/4
Two letters picked without replacement from {i: 1, c: 1, h: 2, w: 2}. Give prob of sequence wh.
2/15
Three letters picked without replacement from {n: 3, a: 6, o: 8}. Give prob of sequence naa.
3/136
Two letters picked without replacement from {u: 3, m: 4, p: 3, n: 3, g: 6}. Give prob of sequence gp.
1/19
Two letters picked without replacement from ixvxnvui. Give prob of sequence vn.
1/28
Two letters picked without replacement from wywwywnwn. Give prob of sequence ww.
5/18
What is prob of sequence hpx when three letters picked without replacement from phpppxx?
4/105
Four letters picked without replacement from {l: 4, z: 4, i: 7, y: 4, f: 1}. What is prob of sequence fzyy?
2/4845
Calculate prob of sequence zccc when four | {
"pile_set_name": "DM Mathematics"
} |
83 a prime number?
True
Is 191233517 prime?
True
Is 784368157 composite?
False
Is 1205015795 a prime number?
False
Is 10557492667 composite?
False
Is 22880818 prime?
False
Is 1967624041 composite?
True
Is 794225827 prime?
True
Is 780013781 a composite number?
False
Is 1337613689 a prime number?
False
Is 590655521 prime?
True
Is 2146545193 a composite number?
True
Is 4422577837 prime?
False
Is 8557375733 a prime number?
True
Is 6254676569 prime?
True
Is 170042029 composite?
False
Is 81495119273 a prime number?
True
Is 18093578543 prime?
True
Is 2751886513 a prime number?
False
Is 1366053263 composite?
True
Is 389294617 a prime number?
True
Is 36631499015 a prime number?
False
Is 12521783 composite?
True
Is 4971358177 a prime number?
False
Is 172517615513 composite?
True
Is 6921687826 a composite number?
True
Is 1369061231 composite?
True
Is 64742566121 a prime number?
True
Is 282019601 prime?
False
Is 164614393 composite?
True
Is 375159683 prime?
False
Is 5588432347 a composite number?
False
Is 58204068647 a composite number?
False
Is 1394499637 a prime number?
False
Is 93040349 a composite number?
False
Is 377975513 composite?
True
Is 13006626658 composite?
True
Is 3087532607 composite?
True
Is 23944195943 prime?
True
Is 3628962859 a composite number?
False
Is 10058363 a prime number?
False
Is 47794741 a prime number?
True
Is 10281911 a prime number?
True
Is 326641729 a composite number?
False
Is 413469439 a composite number?
True
Is 80268507413 composite?
False
Is 1826399753 prime?
False
Is 6172524901 prime?
True
Is 603236167 prime?
True
Is 18463139521 a composite number?
False
Is 119498017 composite?
True
Is 8284370849 prime?
True
Is 63617559 a composite number?
True
Is 1200804329 a prime number?
False
Is 1436748949 a composite number?
False
Is 5794501109 composite?
True
Is 40048598879 a composite number?
False
Is 117627157069 a composite number?
False
Is 25654804886 a prime number?
False
Is 104141249 composite?
True
Is 36260495897 composite?
True
Is 2427706313 a composite number?
True
Is 24192881477 a prime number?
False
Is 58519871 prime?
True
Is 643097329 a prime number?
False
Is 54151537 composite?
True
Is 3237877193 a composite number?
False
Is 2124852689 a prime number?
True
Is 4477630555 prime?
False
Is 10701705431 a composite number?
False
Is 3472967063 composite?
False
Is 10088303851 prime?
True
Is 5591280785 a prime number?
False
Is 642477595 composite?
True
Is 301776901 a prime number?
False
Is 7856057059 prime?
False
Is 67279894849 prime?
True
Is 391049991415 composite?
True
Is 625524157 a prime number?
False
Is 15569820571 a prime number?
False
Is 2558321749 composite?
True
Is 408521017 composite?
False
Is 2135542447 prime?
False
Is 1535949509 a composite number?
True
Is 119002992283 a prime number?
False
Is 27189901799 prime?
False
Is 4710060809 composite?
True
Is 100079081437 prime?
False
Is 10102799153 composite?
True
Is 74655886909 a prime number?
True
Is 2119525699 prime?
True
Is 452832641 prime?
True
Is 9038576059 composite?
False
Is 7608111523 a composite number?
False
Is 266813597 composite?
False
Is 282281223779 composite?
False
Is 30796877093 composite?
False
Is 17939963 composite?
False
Is 1023515023 a prime number?
False
Is 16551468137 a composite number?
True
Is 30457605289 a prime number?
True
Is 2695846781 a composite number?
False
Is 1417910447 composite?
True
Is 250436177 a prime number?
True
Is 17735967881 prime?
True
Is 438340607 prime?
False
Is 52080815767 prime?
True
Is 82009400581 a composite number?
False
Is 238552817 a prime number?
True
Is 116195984863 prime?
False
Is 292039423 a prime number?
False
Is 38856557057 a composite number?
False
Is 282544993 prime?
True
Is 29916685891 a prime number?
False
Is 6154922779 composite?
True
Is 1380920201 a composite number?
False
Is 2559997321 a prime number?
False
Is 23290844957 a composite number?
True
Is 30576203 a composite number?
True
Is 64748182649 prime?
False
Is 23397252863 a composite number?
False
Is 3485114377 a prime number?
False
Is 371143007 a composite number?
False
Is 6854260493 composite?
False
Is 7057805753 a composite number?
True
Is 15333492061 a prime number?
False
Is 6055833241 a composite number?
True
Is 5674834531 composite?
True
Is 56040950903 a composite number?
True
Is 4372480045 composite?
True
Is 511577371 prime?
False
Is 33083880763 prime?
True
Is 989461741 composite?
True
Is 5383244179 composite?
True
Is 303457499 a composite number?
True
Is 401995627 a composite number?
True
Is 131945915 a composite number?
True
Is 429508397 composite?
False
Is 1244313647 a prime number?
True
Is 111268429 prime?
True
Is 21712099 prime?
True
Is 23143326509 a composite number?
False
Is 95124157 a composite number?
False
Is 121160700571 a prime number?
False
Is 4572500707 prime?
False
Is 1392195019 composite?
False
Is 13279887287 a composite number?
True
Is 6290248571 a prime number?
False
Is 11959785637 a prime number?
True
Is 31988863601 composite?
True
Is 39013681178 a prime number?
False
Is 17326301 composite?
False
Is 10489303987 prime?
False
Is 3565067323 composite?
True
Is 72363646813 a prime number?
True
Is 32979369029 composite?
False
Is 521663333 composite?
True
Is 16527369563 a composite number?
True
Is 946344599 composite?
True
Is 7505891377 prime?
True
Is 911405527 prime?
True
Is 8863607933 a composite number?
False
Is 4762387235 a prime number?
False
Is 16435091867 prime?
True
Is 27350418301 prime?
True
Is 18075775093 a prime number?
False
Is 3882331711 composite?
True
Is 19343961753 a composite number?
True
Is 18131928457 a prime number?
True
Is 1861632701 composite?
False
Is 126399050051 a composite number?
False
Is 2182456918 prime?
False
Is 7883022319 a prime number?
False
Is 54699923 a prime number?
True
Is 461949463 prime?
True
Is 5649623981 a prime number?
True
Is 1554739673 a composite number?
True
Is 3798191899 a prime number?
True
Is 36189280649 a prime number?
True
Is 483659131 composite?
True
Is 230871013 prime?
True
Is 4225181 a prime number?
False
Is 112939121683 prime?
True
Is 8767021171 a prime number?
True
Is 28422088269 a composite number?
True
Is 123432634433 a composite number?
False
Is 374820151 prime?
False
Is 8751985054 composite?
True
Is 20639184551 a prime number?
False
Is 308370883 a composite number?
False
Is 106489641317 prime?
False
Is 7236767183 a prime number?
True
Is 6303404119 prime?
True
Is 2609869789 composite?
True
Is 675444403 prime?
False
Is 330593507 composite?
False
Is 171347805137 a composite number?
True
Is 26241045637 composite?
False
Is 3794153197 a prime number?
False
Is 14348316133 composite?
True
Is 46332697111 a composite number?
True
Is 793146511 composite?
True
Is 519040859 a prime number?
False
Is 31507442683 prime?
False
Is 12874512179 composite?
True
Is 403742653 a prime number?
True
Is 1452593477 a prime number?
True
Is 183299512831 prime?
False
Is 356310671 prime?
True
Is 2366708713 a prime number?
False
Is 836622373 a composite number?
False
Is 5700521647 a composite number?
False
Is 10293024589 a composite number?
False
Is 2422949777 composite?
False
Is 8784148439 composite?
True
Is 146600939 a composite number?
False
Is 117517708037 prime?
True
Is 31266215443 a composite number?
False
Is 15872493061 a composite number?
True
Is 9181484801 composite?
False
Is 4137745511 a composite number?
False
Is 4619280119 composite?
True
Is 2083357205 a composite number?
True
Is 5979943607 prime?
False
Is 1092894029 composite?
True
Is 114060858359 composite?
True
Is 3853095949 composite?
True
Is 541968883 a composite number?
False
Is 171378705307 a prime number?
False
Is 28870175749 prime?
True
Is 9417582883 composite?
True
Is 277374095 a composite number?
True
Is 1390505539 a prime number?
False
Is 14373954943 prime?
True
Is 108144012533 prime?
True
Is 2096237281 composite?
False
Is 155390153 a composite number?
True
Is 7091739779 a prime number?
False
Is 96471539 composite?
False
Is 970840547 a prime number?
False
Is 1380010111 composite?
True
Is 5362808263 prime?
False
Is 28516353919 composite?
True
Is 47296343 composite?
False
Is 1130499313 a prime number?
False
Is 44253414587 composite?
False
Is 81102442237 composite?
False
Is 4620325081 a composite number?
False
Is 12946094463 composit | {
"pile_set_name": "DM Mathematics"
} |
sequence uuw when three letters picked without replacement from jwjwwjnjjxwuwj?
0
Four letters picked without replacement from {g: 1, n: 1, u: 1, o: 1, m: 1}. What is prob of sequence uoou?
0
What is prob of sequence vkk when three letters picked without replacement from kkkkkvkkkvkvkk?
55/364
Calculate prob of sequence hq when two letters picked without replacement from {h: 1, q: 1, r: 2}.
1/12
Three letters picked without replacement from {l: 4, y: 3}. What is prob of sequence lly?
6/35
What is prob of sequence yp when two letters picked without replacement from {e: 3, p: 1, n: 1, y: 4, f: 2}?
2/55
Two letters picked without replacement from {i: 2, o: 4, n: 1}. What is prob of sequence oi?
4/21
Four letters picked without replacement from {b: 12, u: 2, f: 1, a: 4}. Give prob of sequence afuu.
1/11628
Three letters picked without replacement from xxxyyxxxxxxxxxyxxx. Give prob of sequence xyy.
5/272
What is prob of sequence igiq when four letters picked without replacement from {i: 2, s: 1, g: 1, e: 1, w: 1, q: 1}?
1/420
Four letters picked without replacement from {y: 4, h: 1, r: 2}. Give prob of sequence yhhh.
0
Calculate prob of sequence jtt when three letters picked without replacement from {j: 2, t: 2}.
1/6
Calculate prob of sequence jpj when three letters picked without replacement from {j: 9, p: 3}.
9/55
Calculate prob of sequence ynhh when four letters picked without replacement from {h: 3, n: 1, p: 3, y: 3, l: 2, v: 1}.
3/2860
Calculate prob of sequence jbzb when four letters picked without replacement from zbzbzzbzbzbjj.
2/143
Calculate prob of sequence lc when two letters picked without replacement from {l: 5, c: 2}.
5/21
Two letters picked without replacement from {n: 6, h: 9, k: 4}. What is prob of sequence hn?
3/19
Four letters picked without replacement from {g: 2, d: 1, p: 4, w: 2, r: 1}. What is prob of sequence prgw?
1/315
Four letters picked without replacement from {g: 1, q: 3, z: 2, h: 1, f: 3, y: 5}. What is prob of sequence zgzf?
1/5460
Calculate prob of sequence dun when three letters picked without replacement from ntuntdutdttt.
1/165
Calculate prob of sequence vqr when three letters picked without replacement from xvvrqrxp.
1/84
Four letters picked without replacement from cncnp. Give prob of sequence pcnc.
1/30
Two letters picked without replacement from eseegeks. What is prob of sequence ss?
1/28
Calculate prob of sequence isf when three letters picked without replacement from {s: 1, f: 1, i: 1, x: 2}.
1/60
Calculate prob of sequence vjvv when four letters picked without replacement from {j: 3, v: 9}.
7/55
Three letters picked without replacement from irrrirrfcrvfcrr. What is prob of sequence vii?
1/1365
Four letters picked without replacement from {r: 1, s: 1, f: 1, d: 1, l: 2, b: 1}. What is prob of sequence sdfr?
1/840
What is prob of sequence gwg when three letters picked without replacement from yddgyjujwdjw?
0
Calculate prob of sequence fdpp when four letters picked without replacement from npindnffnnddpn.
1/2002
What is prob of sequence yggh when four letters picked without replacement from gghhygggy?
5/189
Two letters picked without replacement from rrorrrorrrrror. Give prob of sequence ro.
33/182
What is prob of sequence bbbb when four letters picked without replacement from bbbbbbbbmbbmbmbbbmmb?
91/323
Calculate prob of sequence dn when two letters picked without replacement from ddnddedrd.
1/12
What is prob of sequence wu when two letters picked without replacement from jwpwu?
1/10
Four letters picked without replacement from {w: 7, x: 4, r: 3}. Give prob of sequence wxrx.
3/286
What is prob of sequence ypg when three letters picked without replacement from phgigwwgwggwiigy?
1/560
What is prob of sequence hhh when three letters picked without replacement from {d: 2, q: 4, h: 3}?
1/84
Four letters picked without replacement from {i: 6, e: 2, h: 1, s: 2}. What is prob of sequence iiii?
1/22
What is prob of sequence yyy when three letters picked without replacement from ymmyymmmmyymmm?
5/182
Calculate prob of sequence pssn when four letters picked without replacement from nssnnpnpnspnpsnsnsn.
15/1292
Two letters picked without replacement from eoeeeooeeo. Give prob of sequence oo.
2/15
Two letters picked without replacement from vbbuvuuvuvvuu. What is prob of sequence uu?
5/26
Four letters picked without replacement from ssyyss. Give prob of sequence ysys.
1/15
Calculate prob of sequence fjj when three letters picked without replacement from {f: 9, t: 1, z: 1, j: 2}.
3/286
Calculate prob of sequence dkqd when four letters picked without replacement from {k: 8, q: 1, d: 8}.
2/255
Calculate prob of sequence zdz when three letters picked without replacement from {b: 1, d: 7, i: 4, a: 4, z: 2}.
7/2448
What is prob of sequence zqq when three letters picked without replacement from {l: 2, i: 1, z: 3, q: 4}?
1/20
Three letters picked without replacement from {v: 3, s: 2, t: 1, e: 1, l: 2, y: 3}. Give prob of sequence lvt.
1/220
Calculate prob of sequence hk when two letters picked without replacement from {k: 2, u: 1, h: 2}.
1/5
Two letters picked without replacement from nttttnnntttttttntt. Give prob of sequence tt.
26/51
Two letters picked without replacement from {e: 8, s: 2}. Give prob of sequence ss.
1/45
Calculate prob of sequence zk when two letters picked without replacement from {k: 1, z: 3, q: 1}.
3/20
What is prob of sequence dn when two letters picked without replacement from dddddnddddddddddddd?
1/19
Four letters picked without replacement from yppydyytypmtdypoy. What is prob of sequence yopp?
1/680
What is prob of sequence zzzg when four letters picked without replacement from {g: 3, z: 9}?
7/55
Calculate prob of sequence ovn when three letters picked without replacement from {n: 2, o: 7, v: 2}.
14/495
Four letters picked without replacement from {j: 2, u: 9, v: 4, n: 1}. What is prob of sequence vujv?
9/1820
Four letters picked without replacement from gdggtdddddgnddnddnnn. Give prob of sequence tddg.
1/323
Two letters picked without replacement from {d: 4, n: 4, k: 1, m: 1, y: 1}. Give prob of sequence kn.
2/55
Calculate prob of sequence dd when two letters picked without replacement from {t: 3, d: 3}.
1/5
Calculate prob of sequence wz when two letters picked without replacement from {w: 1, p: 2, z: 5, s: 2, t: 1, x: 2}.
5/156
Calculate prob of sequence wth when three letters picked without replacement from {q: 1, t: 1, z: 4, w: 3, h: 4}.
1/143
Three letters picked without replacement from {a: 1, y: 1, w: 1}. What is prob of sequence wwy?
0
Four letters picked without replacement from lzzzzzlzzlzzzzz. Give prob of sequence zlzl.
11/455
Four letters picked without replacement from gyjjjyyyy. What is prob of sequence jgjy?
5/504
Three letters picked without replacement from dfddffdfddd. What is prob of sequence ffd?
14/165
Three letters picked without replacement from qqqqlkqlqsslqqqqqsqq. Give prob of sequence ksq.
13/2280
Calculate prob of sequence ymsy when four letters picked without replacement from {m: 1, s: 1, y: 13}.
1/210
Three letters picked without replacement from saksx. Give prob of sequence sks.
1/30
Calculate prob of sequence xz when two letters picked without replacement from zxhjp.
1/20
Two letters picked without replacement from {w: 1, m: 4, x: 3}. What is prob of sequence mm?
3/14
Calculate prob of sequence jv when two letters picked without replacement from nbnbbnnjvnjnbj.
3/182
Two letters picked without replacement from {q: 6}. Give prob of sequence qq.
1
Calculate prob of sequence rdfr when four letters picked without replacement from {o: 2, f: 4, i: 1, d: 3, r: 4, k: 3}.
3/1190
Four letters picked without replacement from rddddqddrdrq. Give prob of sequence qdrd.
7/330
Two letters picked without replacement from {o: 4}. Give prob of sequence oo.
1
Calculate prob of sequence wt when two letters picked without replacement from {r: 3, z: 1, g: 6, w: 6, p: 1, t: 1}.
1/51
Two letters picked without replacement from lfpzplzplffkpppkppk. Give prob of sequence fk.
1/38
What is prob of sequence non when three letters picked without replacement from poppnnp?
1/105
What is prob of sequence dydb when four letters picked without replacement from bydb?
0
Four letters picked without rep | {
"pile_set_name": "DM Mathematics"
} |
(4/9) assuming k is positive.
k**(613/45)
Simplify (t**4/t**(2/9))**(-1/12) assuming t is positive.
t**(-17/54)
Simplify g**(-23)*(g*g**(-14)*g)/g assuming g is positive.
g**(-36)
Simplify ((b/((b/(((b**8*b)/b)/b))/b)*b)/b)/(b/(b/((b**21*b)/b))*b) assuming b is positive.
b**(-14)
Simplify i**(-8)*i/(i/(i/(i*i*i*((i**(1/3)*i*i)/i)/i)))*(i/(i/i**(1/3)))/i*i*i*i**(-7)/i assuming i is positive.
i**(-17)
Simplify (b**(-1/8)*b*b)/b**(1/11) assuming b is positive.
b**(157/88)
Simplify d**(9/8)/(d**(-31/2)*d*d) assuming d is positive.
d**(117/8)
Simplify n**(-6/17)/(n*n/(n/(n/n**13)*n)) assuming n is positive.
n**(198/17)
Simplify (c*c/(c/c**(-4)))/c**6*c/(c**(-2/5)/c)*c/c**(-5)*c assuming c is positive.
c**(2/5)
Simplify (f**8)**(5/8) assuming f is positive.
f**5
Simplify ((g/g**(-3))/g**(-3))**(-5) assuming g is positive.
g**(-35)
Simplify b**(-2/31)/(b*b*(b*b/b**(3/13)*b)/b)*(b*b**1)**(2/55) assuming b is positive.
b**(-83363/22165)
Simplify (o**(-6/7)*o*(o*o**(1/6))/o)/(o**0)**40 assuming o is positive.
o**(13/42)
Simplify (u**(-15)/u*u)/u*u*u**(4/5)/u*u*u assuming u is positive.
u**(-66/5)
Simplify (d*d**2)/d**(-1/13) assuming d is positive.
d**(40/13)
Simplify a**(2/11)/a*a*a**17*a assuming a is positive.
a**(200/11)
Simplify a**(4/5)*(a*a*a**9)/a*a assuming a is positive.
a**(59/5)
Simplify (h*(h*h/(h/h**(3/4))*h)/h)/h**15 assuming h is positive.
h**(-49/4)
Simplify (u/((u**(4/3)/u)/u)*u**(-9))**(-2/45) assuming u is positive.
u**(44/135)
Simplify ((r**(-5)/r)/r)/r**(-1/6) assuming r is positive.
r**(-41/6)
Simplify (y**0*y)**15*((y*y**(-1))/y)**(3/20) assuming y is positive.
y**(297/20)
Simplify v*v**(26/5)*v**(2/35)/v assuming v is positive.
v**(184/35)
Simplify (k**(-5/6))**38 assuming k is positive.
k**(-95/3)
Simplify f**(-2/11)*f**(2/5)*((f**(-1)/f)/f)**(-2/21) assuming f is positive.
f**(194/385)
Simplify (b**4/b**13)**(4/11) assuming b is positive.
b**(-36/11)
Simplify q**(13/5)*q/q**20 assuming q is positive.
q**(-82/5)
Simplify (a**(-3)*a**(-1/7))**(3/5) assuming a is positive.
a**(-66/35)
Simplify (d**(-2)/d)**(-8/7)/(d**(9/4)*d**6) assuming d is positive.
d**(-135/28)
Simplify ((y**(-1/2)/y)**(2/29))**50 assuming y is positive.
y**(-150/29)
Simplify (o/((o/o**(2/9)*o*o)/o))/((o*o*o**12*o*o)/o) assuming o is positive.
o**(-142/9)
Simplify ((g**(-4/3)/g)/(g*g*g/(g**(1/3)*g)))**5 assuming g is positive.
g**(-20)
Simplify (i/i**(1/9)*i**(-7))**(7/8) assuming i is positive.
i**(-385/72)
Simplify ((a/(a*a**(-1/2)/a*a))**(22/9))**(-6/29) assuming a is positive.
a**(-22/87)
Simplify ((t/(t/(t**(-4/7)*t)*t*t))/t*t**2/t)/((t/(t*t*t/(t*t/(((t*t**(-4/3))/t)/t))*t))/t**(2/3)) assuming t is positive.
t**(-47/21)
Simplify (v*v**(-2/7))**30/(v*v**1*v**(-2)) assuming v is positive.
v**(150/7)
Simplify (w/w**(2/17))**20 assuming w is positive.
w**(300/17)
Simplify q**(-1/35)*q/(q*q/q**(-5/6)) assuming q is positive.
q**(-391/210)
Simplify (((j*j**(-5))/j*j)/j**(-3))**12 assuming j is positive.
j**(-12)
Simplify (u**0*u*u)**(5/2) assuming u is positive.
u**5
Simplify v/(v**(-1/15)*v*v*v)*v*v*v*v**(1/4) assuming v is positive.
v**(79/60)
Simplify p*p/((p/(p**(-3/4)/p))/p)*p**(-15) assuming p is positive.
p**(-59/4)
Simplify ((h*((h*(h*h/h**(-5/2)*h)/h)/h)/h*h*h)/h)/h**(3/14) assuming h is positive.
h**(37/7)
Simplify k**(5/6)*k**(1/2) assuming k is positive.
k**(4/3)
Simplify ((n*(n/(n/(n/n**10)*n)*n)/n)/(n*(n**(-2/19)/n)/n))/(n**(-2/3)/(((n*n/(n/n**(-4/7)))/n)/n*n)) assuming n is positive.
n**(-3112/399)
Simplify (w/(((w**6*w)/w*w)/w*w*w))/w*w**(2/9) assuming w is positive.
w**(-70/9)
Simplify o**(5/4)/(((o*o**(-1/10))/o)/o) assuming o is positive.
o**(47/20)
Simplify g**27*g/(g/g**(-6)) assuming g is positive.
g**21
Simplify (g**(-3/7)/g*g*g/g**(-2/5)*g)**(-4) assuming g is positive.
g**(-276/35)
Simplify (x*x**(-6/7)*x*x)**46 assuming x is positive.
x**(690/7)
Simplify (y*y/(((y*y**(2/5))/y)/y))**(-11)*y**6/y*y**(-4) assuming y is positive.
y**(-138/5)
Simplify ((b/((b**(-17)*b)/b*b*b))/(b/b**9*b))**(-47) assuming b is positive.
b**(-1081)
Simplify (s**(-1/27))**(-6/31) assuming s is positive.
s**(2/279)
Simplify (x*x**(4/3))/x**(2/49) assuming x is positive.
x**(337/147)
Simplify (u**6*u)/u**7*u*u/(u/(u*u**(-5)))*u**(3/5) assuming u is positive.
u**(-12/5)
Simplify (n/(((n/((n/n**21)/n)*n*n)/n)/n))/(n*((n**(-44)*n)/n)/n) assuming n is positive.
n**23
Simplify (q**(-9)/(q/(q*q*q**(-5/3))))/((q**(-2/7)*q)/q)**(-1/24) assuming q is positive.
q**(-271/28)
Simplify ((b/b**(-1)*b)/b)**(-5/6)*(b**(1/4))**(-12/5) assuming b is positive.
b**(-34/15)
Simplify s*s/(s*s*s/(s/(s/s**(1/4)))*s)*s*s*s**(1/3)/s assuming s is positive.
s**(-5/12)
Simplify (v**(-2))**(-13/3)/((v**(-3)/v*v)/(v*v*((v*v**(-3))/v*v)/v*v*v*v)) assuming v is positive.
v**(41/3)
Simplify ((n*n**(2/13)/n)/(n**1*n))**(-1/26) assuming n is positive.
n**(12/169)
Simplify (q**(-1))**15*q/q**(7/6)*(q/(q/(q*q**3))*q)/q assuming q is positive.
q**(-67/6)
Simplify (l/(l*l**1))**(-2/49)/(l/((l*l*l**(-1))/l)*l)**(2/13) assuming l is positive.
l**(-170/637)
Simplify (c/c**(2/29))/(c*c**7*c) assuming c is positive.
c**(-234/29)
Simplify z**(-3/7)/(z/(z*(z*z**(-5))/z))*(z*z*z**(3/8)*z)/(z*z/(z/z**(1/8))) assuming z is positive.
z**(-89/28)
Simplify (i/i**(-11))**(-49) assuming i is positive.
i**(-588)
Simplify v/((v/v**(-22/7))/v)*v*v/v**(24/11)*v assuming v is positive.
v**(-102/77)
Simplify u**(-2/5)*u*u**(4/11)*u*u**(-3)*(u*u**(-1/12))/u assuming u is positive.
u**(-739/660)
Simplify (i**0*i)**(-4/35)*i**(1/6)/i**(1/4) assuming i is positive.
i**(-83/420)
Simplify (b**7/b**(-5/4))/((b**(-4)/b)/b**(-1/2)) assuming b is positive.
b**(51/4)
Simplify m**(-14)/m*m/((m*m*m**(1/20))/m) assuming m is positive.
m**(-301/20)
Simplify a**(-36/11)*a**(-4/35) assuming a is positive.
a**(-1304/385)
Simplify d**12/d**(-13) assuming d is positive.
d**25
Simplify c**(-2/9)*c/c**15 assuming c is positive.
c**(-128/9)
Simplify ((w*w/(w/(w/(w*w**(-10))))*w*w)/w)/(w**(-28)*w*w) assuming w is positive.
w**38
Simplify ((w/(w/(w**1*w*w*w)*w))**(1/51))**42 assuming w is positive.
w**(42/17)
Simplify (s**(1/12)/s**(-1))/((s/s**(1/4))/(s*s**(-7)*s)) assuming s is positive.
s**(-14/3)
Simplify (f**4/f)/(f**(2/29)/f) assuming f is positive.
f**(114/29)
Simplify ((t/((t*t**2)/t*t))**(-29))**(3/19) assuming t is positive.
t**(174/19)
Simplify (j*j**(-1)*j)/j*j**(-12) assuming j is positive.
j**(-12)
Simplify d**(-8/3)*d/(d/(d**28*d)) assuming d is positive.
d**(79/3)
Simplify (c**(2/17)*c*c/(c**(-2)/c))**(-1) assuming c is positive.
c**(-87/17)
Simplify (y**(-3)*y*y**(1/10))**6 assuming y is positive.
y**(-57/5)
Simplify (j**(-2)*j)**(-4/7)*((j**(2/19)*j)/j)/(j*j**(-5)) assuming j is positive.
j**(622/133)
Simplify (j**(-1))**44/((j*((j*j**(-1))/j)/j*j)/j*j)**(-1/20) assuming j is positive.
j**(-44)
Simplify (p*p**(-15)*p*p*p**(-1))**(-2/23) assuming p is positive.
p**(26/23)
Simplify (((h/(h/(h/((h**8*h)/h*h)*h)))/h)/h**(-1/8))/(h*h**(-1/2))**(1/17) assuming h is positive.
h**(-1075/136)
Simplify (m/(m/m**19))/(m*m**(6/7)) assuming m is positive.
m**(120/7)
Simplify h**2*h*h**(-4)*h assuming h is positive.
1
Simplify c**(1/3)*c**(-6/7) assuming c is positive.
c**(-11/21)
Simplify w**(-40)*w*w**(16/5) assuming w is positive.
w**(-179/5)
Simplify ((m*m**(7/2))/(m/(m**(-6)/m)))/(m**7/(m**(-2/5)*m)) assuming m is positive.
m**(-99/10)
Simplify ((d/(d/((d/d**3)/d))*d)/d*d/d**0)**(-34) assuming d is positive.
d**68
Simplify f**(-1/4)/f*f*f/(f/(f*f*f**(-5)))*f assuming f is positive.
f**(-9/4)
Simplify (q/(q/q**(-4)))/(q*q*q**12*q*q) assuming q is positive.
q**(-20)
Simplify ((v**3)**(-2/63))**(-24/11) assuming v is positive.
v**(16/77)
Simplify ((b/(b/(b*b/b**(1/8)*b*b)*b))/b*b)/(b*(b**4/b)/b)*((b*(b/(b*b**(2/7)))/b)/b*b*b)/(b/(b/(b**(8/5)*b))) assuming b is positive.
b**(-563/280)
Simplify z**(3/2)*z*z**(-26) assuming z is positive.
z**(-47/2)
Simplify q*(q/((q/q**(-7))/q)*q)/q*q**45*q assuming q is positive.
q**41
Simplify ((g**(2/3)/g*g)**(-5))**(3/11) assuming g is positive.
g**(-10/11)
Simplify i**5/(i/i**(-7)) assuming i is positive.
i**(-3)
Simplify (u**(1/6)*u*u**(-5))/(u**(1/12)*u/(u/(u/(u/((u**(2/15)*u)/u))))) assuming u is positive.
u**(-81/20)
Simplify n**(-3/8)*((n**(-11)*n)/n)/n assuming n is positive.
n**(-99/8)
Simp | {
"pile_set_name": "DM Mathematics"
} |
) - (sqrt(396) + -1))**2)*-6 + 2.
-2404 + 144*sqrt(11)
Simplify (((sqrt(54)*-3*-2)/sqrt(3))/(2*3*sqrt(216)))**2.
1/12
Simplify -2 + (5*-1*sqrt(275))**2 + 4*((sqrt(275) - ((sqrt(275)*-2 - sqrt(275))**2 - sqrt(275) - sqrt(275))) + 0) + 1.
-3026 + 60*sqrt(11)
Simplify -1*(sqrt(270) + 2*sqrt(270))/(sqrt(10) - 1*sqrt(1440)).
9*sqrt(3)/11
Simplify sqrt(980) + sqrt(980) + -1 + (sqrt(2240)*-2)/sqrt(7).
-1 + 12*sqrt(5)
Simplify ((-3*sqrt(144))/sqrt(8))**2*4*1*-1.
-648
Simplify (sqrt(252) + (sqrt(252)*-2 - sqrt(252)) + 0 + 2)**2 + 4*(sqrt(252) - sqrt(252)*1) + -4.
-48*sqrt(7) + 1008
Simplify 2*((sqrt(252)*-1 - sqrt(63) - sqrt(63))/(sqrt(144)*-6))**2.
7/18
Simplify sqrt(240)/sqrt(300) - (5*(sqrt(5) + 1) + sqrt(5) + 6*sqrt(20)).
-88*sqrt(5)/5 - 5
Simplify ((-1*-1*(sqrt(13) + 1 + sqrt(13)) + -5)*-2)**2.
-64*sqrt(13) + 272
Simplify (5*-5*(-2*sqrt(304) + sqrt(304) + 4 + 3*sqrt(304)*-5))**2.
-320000*sqrt(19) + 48650000
Simplify ((sqrt(21) + 2*sqrt(756))/(sqrt(14)/(sqrt(4)/sqrt(2)))*2)**2.
2028
Simplify (-6*sqrt(704))/sqrt(4) + ((sqrt(11) - (sqrt(11)*-2 + 5))*2)**2.
-144*sqrt(11) + 496
Simplify (sqrt(66) - (sqrt(66) + (sqrt(66) - -1*sqrt(66))*-2))/(sqrt(216)*-2 + sqrt(6)) + 5.
-4*sqrt(11)/11 + 5
Simplify (-3 + 1 + (sqrt(1900) - -2*sqrt(1900)) + sqrt(1900) + -4 + sqrt(1900) + 2*sqrt(1900)*5)**2 + 5.
-1800*sqrt(19) + 427541
Simplify 2 + (sqrt(200) - (sqrt(200) + (1*sqrt(200) - sqrt(200)) + sqrt(200)))/((sqrt(28)/sqrt(7) + sqrt(4))*-2).
5*sqrt(2)/4 + 2
Simplify -3 + -1*sqrt(1900) + 3 + (5*(sqrt(1900) - 6*((sqrt(1900) + -1 + sqrt(1900) - sqrt(1900)) + sqrt(1900))))**2.
-33010*sqrt(19) + 5748400
Simplify (sqrt(88) + (-5*2*sqrt(88) - sqrt(88)))/(-5*(-2*sqrt(8) - sqrt(8)) - sqrt(8)).
-5*sqrt(11)/7
Simplify ((sqrt(17) + 0)*3 - sqrt(68)/(sqrt(36)/sqrt(9)))*6.
12*sqrt(17)
Simplify -1*(-1 + sqrt(147) + sqrt(147)*-1 - sqrt(15)/(sqrt(5) + 1*sqrt(5)*-4))**2.
-4/3 + 2*sqrt(3)/3
Simplify (-6*-4*(-4*sqrt(1100)*1 + sqrt(1100) + (sqrt(1100) - (sqrt(1100) + 4*(1 + sqrt(1100))))))**2.
322560*sqrt(11) + 31055616
Simplify (2*sqrt(77)*3 + sqrt(77) + sqrt(77) + -4*(sqrt(77)*1 + sqrt(77)))/(sqrt(700) + (sqrt(700) - 2*(sqrt(700) - (sqrt(700) + (sqrt(700)*-2 - sqrt(700)))))).
0
Simplify -4 + (1*(4 + -6*(sqrt(108) - (-1 + sqrt(108)))*-2))**2.
252
Simplify (sqrt(405) + (sqrt(405) - sqrt(405)*-1))**2 + (sqrt(5) - (sqrt(20)/sqrt(4) + 1 + sqrt(5))) - (sqrt(55)/(sqrt(77)/sqrt(7)) + 0).
-2*sqrt(5) + 3644
Simplify (4*(sqrt(208) - (-1 + sqrt(208)) - sqrt(208) - sqrt(208))*-4)**2 + -1*-4*(sqrt(208) - (sqrt(208) - -2*sqrt(208))).
-4128*sqrt(13) + 213248
Simplify ((sqrt(68)/sqrt(324) - 5*(sqrt(2448) + -1)**2) + -4)*1.
-12249 + 1081*sqrt(17)/9
Simplify (4*(sqrt(2940)*2 - sqrt(2940)))/((sqrt(84) + sqrt(84) + (sqrt(84)*-2 + sqrt(84) - sqrt(84) - sqrt(84))*4 + sqrt(84))/sqrt(7)).
-28*sqrt(5)/9
Simplify 4 + (-2 + 5*(sqrt(684) + -2 - sqrt(684)) + 1)**2.
125
Simplify ((sqrt(152) - (-3*(1*sqrt(152) + sqrt(152) + sqrt(152)) + sqrt(152)) - sqrt(152)) + sqrt(152) - sqrt(152))/sqrt(8) + (sqrt(171) + -1)*1.
-1 + 11*sqrt(19)
Simplify ((sqrt(70)/(sqrt(30)/sqrt(3)) + 3 + sqrt(7)*2)*3*1)**2.
162*sqrt(7) + 648
Simplify (4 + (sqrt(15) - (sqrt(2160) + (sqrt(2160) - sqrt(2160)*3)))/(1*sqrt(125)))*3.
12 + 39*sqrt(3)/5
Simplify -1 + -5*((sqrt(8) + 3*sqrt(72))/(sqrt(4) - (sqrt(4) + sqrt(64)*3)))**2.
-143/18
Simplify (-3*6*(sqrt(33) + sqrt(66)/sqrt(2)))/((sqrt(24) + sqrt(24) + sqrt(2904)*-1)/sqrt(8)).
4*sqrt(11)
Simplify ((sqrt(392)/(sqrt(14)/sqrt(2)))/sqrt(7))/(5*(sqrt(64) + sqrt(4) - sqrt(4))*6).
sqrt(2)/120
Simplify ((-1*sqrt(33))/sqrt(3)*-2 - sqrt(275)*-2*-1)**2.
704
Simplify 5 + (sqrt(1573) - -3*sqrt(1573)) + (1*sqrt(13) + -1)*4.
1 + 48*sqrt(13)
Simplify 6*(sqrt(143) + sqrt(143) + (sqrt(143) - (sqrt(143) - sqrt(143)*2*5)))/(1*-2*sqrt(11)).
-36*sqrt(13)
Simplify (2*(sqrt(66) + sqrt(66)*-1) + (sqrt(66) + 2*sqrt(66))*-4)/(-6*-2*sqrt(6) - (sqrt(6) - (sqrt(6) - (sqrt(18)/sqrt(3) + sqrt(6))))*-5).
-6*sqrt(11)/11
Simplify (sqrt(675) + sqrt(27))**2 - sqrt(30)/(sqrt(40)/sqrt(4) + sqrt(10)) - (4*(1 + sqrt(243) + 3))**2.
-3172 - 2305*sqrt(3)/2
Simplify (sqrt(228)/((sqrt(84)*-1)/sqrt(7)) - sqrt(57)/(sqrt(21)/(sqrt(49)/sqrt(7)))) + 1.
-2*sqrt(19) + 1
Simplify ((-5 + -3*-3*sqrt(363))*1)**2.
-990*sqrt(3) + 29428
Simplify 4*(0 + -5*((sqrt(68) + sqrt(68)*-2 + sqrt(68) + 5 - sqrt(68)) + 3 + -2*sqrt(68))).
-160 + 120*sqrt(17)
Simplify 6*((((sqrt(450) - (sqrt(450) - (sqrt(450) - (sqrt(450) - 1*sqrt(450))) - sqrt(450))) + sqrt(450))*2)/(sqrt(9) - 5*sqrt(18)/sqrt(2)))**2*-4.
-2700
Simplify 2 + (-3 + (sqrt(95)/(sqrt(5)*3))**2)*3.
-2/3
Simplify (-1*(sqrt(77)/sqrt(7) + 5) - ((sqrt(11) - (sqrt(275)*-2 + sqrt(275))) + sqrt(891) + 1*sqrt(891)))**2.
250*sqrt(11) + 6900
Simplify (0 + (sqrt(350)/sqrt(112))/(sqrt(50)/(sqrt(15)/sqrt(3)) + sqrt(10)))**2.
5/64
Simplify ((sqrt(475) - sqrt(475)*1)*-6 - sqrt(475)) + sqrt(475) + (-1*sqrt(475) + 3)**2 - (-4 + 2 + sqrt(475) + 0).
-35*sqrt(19) + 486
Simplify (((sqrt(520)*1)/sqrt(10))/(4*sqrt(4)*-1) - (-1 + ((sqrt(26)/sqrt(2) + sqrt(13))*-3 - 4*sqrt(52))))**2.
55*sqrt(13)/2 + 39341/16
Simplify 5*((-4*-2*sqrt(136) - sqrt(136) - sqrt(136)) + sqrt(136) - 1*sqrt(136)*2)/(sqrt(72) - (sqrt(72) + (sqrt(72) - sqrt(72)*2*3))).
5*sqrt(17)/3
Simplify (((sqrt(130) + 6*1*sqrt(130))*-4)/(sqrt(1440)*1 + (sqrt(100)*1)/sqrt(10)))**2.
784/13
Simplify -2*(4 + 1*sqrt(363))**2 + (sqrt(6)/sqrt(2) + 4 - (sqrt(192))**2)*4.
-1510 - 172*sqrt(3)
Simplify -1*(-4 + sqrt(19) + 0 + -5 + sqrt(171)/((2*sqrt(36))/sqrt(4)) + 1).
-3*sqrt(19)/2 + 8
Simplify -3*(0 + (-2*(-1 + 1 + sqrt(972)))**2).
-11664
Simplify ((6*sqrt(42)/sqrt(7))/(2*sqrt(288)))**2.
3/16
Simplify (sqrt(972) - (1*((sqrt(972) - 2*sqrt(972)) + sqrt(972)) - sqrt(972)))/((sqrt(324) - (sqrt(324) - -1*sqrt(324))) + sqrt(45)/sqrt(80)).
-48*sqrt(3)/23
Simplify (((sqrt(270) + (sqrt(270)*-2 - sqrt(270) - sqrt(270)) + sqrt(270))/sqrt(9))/sqrt(10) + -4 + 3 + sqrt(12))**2.
1
Simplify (sqrt(17) + (-5*sqrt(425))**2)*1 - sqrt(136)/(sqrt(768)/sqrt(6)).
3*sqrt(17)/4 + 10625
Simplify (5*(5 + sqrt(252) + (sqrt(252) - sqrt(252)*-2 - sqrt(252))))**2.
4500*sqrt(7) + 57325
Simplify (4 + 3 + ((sqrt(208) - (1 + sqrt(208) + -5 + sqrt(208))) + sqrt(208) + sqrt(208) - sqrt(208)) + sqrt(208))**2*-2.
-658 - 176*sqrt(13)
Simplify (sqrt(1500)*2 - sqrt(120)/sqrt(2)*-3)/((sqrt(60)*-1*-6)/sqrt(5)).
13*sqrt(5)/6
Simplify sqrt(50)/(sqrt(810) + (-2*sqrt(810) - sqrt(810))) - (6*sqrt(20)*-2)**2.
-2880 - sqrt(5)/18
Simplify (-1*((sqrt(132) + sqrt(132) + -1*sqrt(132) - sqrt(132))/sqrt(3))/(sqrt(4) - -1*2*sqrt(4)))**2.
0
Simplify (-5*sqrt(243)*2)/(4*((sqrt(9) + (sqrt(9) + (sqrt(9)*-2 - sqrt(9))*-4 - sqrt(9)) - sqrt(9)) + sqrt(9))).
-15*sqrt(3)/26
Simplify -1*((-1*sqrt(343))**2 - sqrt(343)) - (sqrt(252) - (sqrt(7) - (sqrt(7) - ((sqrt(63))**2 + -2)) - sqrt(7))).
-282
Simplify sqrt(18)*-2 + 0 - sqrt(6)/sqrt(3)*4*-4.
10*sqrt(2)
Simplify (sqrt(144) + sqrt(144)*-2*1)/((sqrt(8) - sqrt(512)*-3) + sqrt(8) + sqrt(8)).
-sqrt(2)/9
Simplify 3*(-5 + 1 + -2 + (sqrt(500) - (1 + sqrt(500)))**2 + -4 + sqrt(500)).
-27 + 30*sqrt(5)
Simplify (2*(0 + sqrt(539) + 0 + ((sqrt(539) + (1*sqrt(539) - sqrt(539)))*-4 - sqrt(539))) + 5)**2.
-560*sqrt(11) + 34521
Simplify -3*(2 + (sqrt(33)/(sqrt(44)/sqrt(4)))**2) + 5*(1*sqrt(108) + (sqrt(9)/sqrt(3)*2)**2).
45 + 30*sqrt(3)
Simplify -4 + ((2*sqrt(91)*-2)/(sqrt(336)/sqrt(3)) + 1)*6.
-6*sqrt(13) + 2
Simplify ((sqrt(104) + 2*1*sqrt(104))/sqrt(8) - (sqrt(117) + (sqrt(117) + 0)**2 + (-1 + sqrt(13))**2*6)) + -3.
-204 + 12*sqrt(13)
Simplify (1*sqrt(4719))/(2*sqrt(75))*1.
11*sqrt(13)/10
Simplify ((sqrt(2057) + 2 - (0 + sqrt(17) + 2)) + (1 + sqrt(153) + 1)*-4)**2.
32*sqrt(17) + 132
Simplify (2 + (3 + sqrt(27))**2 + 1 + (sqrt(432))**2 + 2)*-6.
-2838 - 108*sqrt(3)
Simplify (sqrt(209) + -1*sqrt(209)*-4 + -3*(sqrt(209) + (sqrt(209)*-2 - sqrt(209))))/(sqrt(1100) + -1*(-1*sqrt(1100) - sqrt(1100))).
11*sqrt(19)/30
Simplify (-1 + sqrt(192) + -2 - sqrt(192) - (sqrt(192)*-1 + sqrt(192) + -3 - sqrt(192))**2) + -1.
-205 - 48*sqrt(3)
Simplify ((sqrt(416) + -2*sqrt(416)*-4 + sqrt(416))/(3*sqrt(288) + sqrt(288)))**2.
325/36
Simplify (1*(sqrt(550) + -1*sqrt(550) - sqrt(550)) - sqrt(550))/(sqrt(55)/(sqrt(50)/(sqrt(250) - sqrt(10)))).
-5*sqrt(2)/2
Simplify (6*(sqrt(10)/sqrt(5) + sqrt(2)) - -1*(sqrt(4)/sqrt(2))**2) + (-5 + sqrt( | {
"pile_set_name": "DM Mathematics"
} |
-six fifths of a gram?
5200
How many seconds are there in 1/4 of a minute?
15
Convert 1.438667 millimeters to centimeters.
0.1438667
Convert 582399.2 days to hours.
13977580.8
What is 11/2 of a decade in years?
55
What is 0.19265m in nanometers?
192650000
How many millilitres are there in 874.383 litres?
874383
What is seventeen sixths of a millennium in months?
34000
How many months are there in three fifths of a millennium?
7200
Convert 950.1537mm to meters.
0.9501537
What is 7/8 of a litre in millilitres?
875
How many centimeters are there in one quarter of a kilometer?
25000
How many nanograms are there in 2/125 of a microgram?
16
Convert 8475.904 decades to centuries.
847.5904
How many seconds are there in 10/3 of a hour?
12000
What is 13848.93 years in centuries?
138.4893
What is 6454.983 millimeters in micrometers?
6454983
How many years are there in 252747.06 months?
21062.255
What is 4.234194 months in decades?
0.03528495
What is seventy-seven halves of a microgram in nanograms?
38500
What is thirty-three fifths of a litre in millilitres?
6600
What is 3/5 of a day in minutes?
864
What is 1/20 of a microgram in nanograms?
50
What is 903.4041 nanometers in centimeters?
0.00009034041
What is nineteen quarters of a millennium in decades?
475
How many months are there in 5/8 of a century?
750
Convert 152293.9 litres to millilitres.
152293900
How many minutes are there in 11/10 of a hour?
66
How many micrometers are there in three sixteenths of a centimeter?
1875
How many centimeters are there in 75.68406um?
0.007568406
What is 7/3 of a year in months?
28
How many millennia are there in 2200090.2 months?
183.34085
How many decades are there in 27658.161 months?
230.484675
Convert 5.588029 nanometers to meters.
0.000000005588029
How many millilitres are there in eighteen fifths of a litre?
3600
What is 1/16 of a millimeter in nanometers?
62500
Convert 2914.18 litres to millilitres.
2914180
How many kilograms are there in 3/8 of a tonne?
375
Convert 0.7129673nm to kilometers.
0.0000000000007129673
How many hours are there in 806400.9 milliseconds?
0.22400025
Convert 4.2219ug to nanograms.
4221.9
How many microseconds are there in 9274.506 milliseconds?
9274506
How many years are there in 5245.05 millennia?
5245050
What is twenty-seven fifths of a microgram in nanograms?
5400
How many litres are there in 647.8863 millilitres?
0.6478863
What is 784.161 months in centuries?
0.6534675
How many litres are there in 4.05692ml?
0.00405692
What is 81/4 of a tonne in kilograms?
20250
What is 911231.9 tonnes in micrograms?
911231900000000000
What is 2464619.4 months in years?
205384.95
How many micrograms are there in 21/4 of a milligram?
5250
How many litres are there in 348.8767ml?
0.3488767
How many millimeters are there in one sixteenth of a kilometer?
62500
How many milliseconds are there in 7/8 of a minute?
52500
What is 21/5 of a week in minutes?
42336
What is 0.2766087 millennia in centuries?
2.766087
Convert 68.7545 days to hours.
1650.108
How many millilitres are there in 31/2 of a litre?
15500
What is 572.708 microseconds in nanoseconds?
572708
Convert 676.5692 micrometers to meters.
0.0006765692
Convert 53.04745mm to kilometers.
0.00005304745
How many months are there in seven thirds of a decade?
280
What is 27/5 of a gram in milligrams?
5400
What is 528.6906 centuries in years?
52869.06
How many micrograms are there in 883.8197mg?
883819.7
What is fourty-seven quarters of a millisecond in microseconds?
11750
How many centimeters are there in 25009.24 kilometers?
2500924000
What is 1/10 of a week in minutes?
1008
What is 0.1178638 tonnes in micrograms?
117863800000
What is one tenth of a week in seconds?
60480
How many minutes are there in 23456.295 nanoseconds?
0.00000039093825
Convert 968242.5 hours to minutes.
58094550
What is 53/5 of a millennium in centuries?
106
What is 3/32 of a kilogram in milligrams?
93750
How many minutes are there in 75.37374 nanoseconds?
0.000000001256229
How many centuries are there in 0.8087397 months?
0.00067394975
How many milligrams are there in 3/50 of a kilogram?
60000
Convert 221898.7 centuries to millennia.
22189.87
How many nanometers are there in five quarters of a micrometer?
1250
Convert 52325.15 days to minutes.
75348216
How many years are there in 399135.6 decades?
3991356
What is seven quarters of a microgram in nanograms?
1750
What is 1/10 of a litre in millilitres?
100
How many kilograms are there in seventeen quarters of a tonne?
4250
How many millimeters are there in 961.213nm?
0.000961213
How many milligrams are there in 911.1289kg?
911128900
How many months are there in 1/6 of a century?
200
Convert 0.173299 micrometers to meters.
0.000000173299
How many millilitres are there in seventy-nine halves of a litre?
39500
How many decades are there in nine tenths of a century?
9
How many grams are there in eleven halves of a kilogram?
5500
What is twenty-one fifths of a litre in millilitres?
4200
How many millilitres are there in 400534.5l?
400534500
Convert 0.0451093 meters to centimeters.
4.51093
What is 85927.48 micrometers in nanometers?
85927480
Convert 17769.05424 microseconds to weeks.
0.00000002938005
What is 95067.1ns in microseconds?
95.0671
What is 1/80 of a hour in seconds?
45
How many milliseconds are there in one fifth of a second?
200
How many kilometers are there in 8397.06cm?
0.0839706
What is twenty-one eighths of a kilogram in grams?
2625
How many hours are there in 74/3 of a week?
4144
What is 3/50 of a millisecond in nanoseconds?
60000
What is seven thirds of a year in months?
28
How many seconds are there in fifty-five quarters of a hour?
49500
Convert 13075.12ml to litres.
13.07512
What is 6.53533 tonnes in milligrams?
6535330000
What is 1/45 of a week in minutes?
224
How many seconds are there in 23/3 of a hour?
27600
How many nanometers are there in 2.979469 micrometers?
2979.469
Convert 205.5211 years to centuries.
2.055211
How many decades are there in 962.4044 centuries?
9624.044
How many nanometers are there in 447503.4m?
447503400000000
What is 11/10 of a litre in millilitres?
1100
What is 12/25 of a meter in centimeters?
48
How many nanometers are there in 30594.83 meters?
30594830000000
Convert 7.996186kg to nanograms.
7996186000000
Convert 11.45887 milligrams to nanograms.
11458870
What is 5.621529mm in kilometers?
0.000005621529
How many years are there in 21/4 of a millennium?
5250
How many millennia are there in 6262.263 centuries?
626.2263
What is 11/4 of a micrometer in nanometers?
2750
What is 5606.638 centuries in millennia?
560.6638
What is 13/5 of a centimeter in micrometers?
26000
Convert 20.73675 minutes to milliseconds.
1244205
How many millilitres are there in fourty-four fifths of a litre?
8800
How many seconds are there in 25/4 of a minute?
375
What is 85/6 of a year in months?
170
How many milligrams are there in 666.27ng?
0.00066627
Convert 87436.73 grams to milligrams.
87436730
What is 0.469895mm in nanometers?
469895
What is 18/5 of a gram in milligrams?
3600
How many nanometers are there in 38528.35 kilometers?
38528350000000000
Convert 45233.73 minutes to hours.
753.8955
What is 88/5 of a kilometer in meters?
17600
What is 1113.922l in millilitres?
1113922
How many kilograms are there in 29/2 of a tonne?
14500
What is 40076.8 millennia in months?
480921600
How many weeks are there in 3864.9219 days?
552.1317
What is 1/20 of a milligram in micrograms?
50
How many centuries are there in 182127.5 millennia?
1821275
What is 23.74252 hours in microseconds?
85473072000
Convert 601924.8ug to milligrams.
601.9248
Convert 90.85274 years to millennia.
0.09085274
How many millilitres are there in 3168.125l?
3168125
How many kilometers are there in 474155.2cm?
4.741552
How many minutes are there in 359.9019 microseconds?
0.000005998365
What is fifty-five sixths of a day in minutes?
13200
Convert 380.736 weeks to days.
2665.152
Convert 41.66666 days to nanoseconds.
3599999424000000
How many nanometers are there in 3/50 of a millimeter?
60000
What is one quarter of a litre in millilitres?
250
How many micrometers are there in fourty-eight fifths of a centimeter?
96000
Convert 0.5400273 hours to days.
0.0225011375
What is one tenth of a gram in milligram | {
"pile_set_name": "DM Mathematics"
} |
is the third derivative of 0*r**4 - 2*r**4 - 4*r**q + 2*r**2 - 2*r**2 wrt r?
-48*r
Let w(h) = h**2 + 3*h + 1. Let y be (6/(-5))/((-3)/(-10)). Let d be w(y). Find the third derivative of -v**5 + 3*v**5 - v**d + 2*v**2 wrt v.
60*v**2
Let k(g) = g + 25. Let m be k(0). What is the third derivative of -2*p**2 - 25*p**3 + m*p**3 + 2*p**4 wrt p?
48*p
Let u(g) be the second derivative of -g**4/2 - 5*g**3/6 - 9*g. Find the second derivative of u(l) wrt l.
-12
Let h(s) = 22*s**3 + 4*s**2 - 3*s - 3. Let p(c) = -c**2 + c + 1. Let o(n) = h(n) + 4*p(n). What is the second derivative of o(a) wrt a?
132*a
Find the third derivative of -51*s**6 + 55*s**6 + 6*s**2 - 3*s**2 wrt s.
480*s**3
Let z be 1/((-3)/24*-4). What is the second derivative of -8*q + 11*q + z*q**2 - 10*q wrt q?
4
Let b(h) = 15*h**2 - 9*h. Let j(k) = 15*k**2 - 8*k. Let p(v) = 5*b(v) - 4*j(v). What is the second derivative of p(i) wrt i?
30
Let y(i) be the first derivative of 2*i**5/5 + 11*i**3/3 + 4. What is the third derivative of y(d) wrt d?
48*d
Suppose 5*a + 5*w - 25 = 0, -5*w + 2 = -5*a + 7. Differentiate 7 - a + 0*l - 2*l with respect to l.
-2
Let w(t) = -t**2 - 7*t - 6. Let n(x) = -x**2 - 6*x - 5. Let g be n(-6). Let v be w(g). What is the second derivative of 0*f**4 - 5*f + f**v + 3*f wrt f?
12*f**2
Suppose -3*m + 7*m = 20. Differentiate -u**4 - 4*u**4 + 4*u**4 + 4 + m*u**4 wrt u.
16*u**3
Suppose 0 = -2*l + 6*l - 5*p - 25, l - 6 = p. What is the second derivative of -118*h + 117*h + 0*h**5 - 2*h**l wrt h?
-40*h**3
Let r(o) be the first derivative of 5*o**4/4 + 4*o**2 - 1. Find the second derivative of r(b) wrt b.
30*b
Let s(w) = w**2 - 8*w - 2. Let i(o) = -4*o**2 + 31*o + 9. Let k(a) = 2*i(a) + 9*s(a). What is the second derivative of k(x) wrt x?
2
Let d = 1/58 - -27/116. Let a(l) be the first derivative of -1 - d*l**4 + 0*l + 0*l**3 + l**2. What is the second derivative of a(t) wrt t?
-6*t
Let b(g) = -2*g - 9. Let w be b(-7). What is the second derivative of 3*r**4 - r + r - 4*r + w*r**4 wrt r?
96*r**2
Let k(g) be the second derivative of 5*g**7/42 - 11*g**3/3 + 38*g. Find the second derivative of k(s) wrt s.
100*s**3
Let k(o) be the third derivative of 7*o**6/120 + o**4/8 + 2*o**2. Find the second derivative of k(z) wrt z.
42*z
Let j(r) be the second derivative of 1/2*r**2 + 1/6*r**3 + 0 + 2*r. Find the first derivative of j(b) wrt b.
1
Suppose -y - 3*y + 12 = 0. Find the second derivative of -3*j - j + y*j - j**3 wrt j.
-6*j
Let s be (-4)/14 + 48/21. What is the third derivative of -3*f**5 + 4*f**3 + 0*f**2 - 4*f**3 - 2*f**s wrt f?
-180*f**2
Let z(y) be the second derivative of -y**4 + 25*y**2/2 + y. What is the first derivative of z(r) wrt r?
-24*r
What is the third derivative of 4*g**2 - 6*g**2 + 2*g**3 + 9*g**3 + g**2 wrt g?
66
Let d(v) be the first derivative of -7*v**4 - 20*v**3/3 - 25. Find the third derivative of d(h) wrt h.
-168
Suppose 49 = 4*r + 5*k, -8 = -5*r + 3*k + 7. Suppose -o - 4*q + 5 + r = 0, q = -5*o + 17. Find the second derivative of -l**3 - l**o - 3*l + 2*l wrt l.
-12*l
Let y be 6/4*4/3. Let b = y + -1. Differentiate -b - 2*w + 0 + 4*w wrt w.
2
Let j(w) = w**2 + 3. Let k be j(0). Let x(p) = -p + 7. Let f be x(2). What is the first derivative of -f + 2*t**k + 2 + 2*t**3 - t**3 wrt t?
9*t**2
Let x = -1 + 1. Let d = 4 + x. What is the derivative of -4*b - d*b**2 - 2 + 4*b + 0*b**2 wrt b?
-8*b
Let j(v) be the first derivative of -3/2*v**2 + 0*v**4 - 2 + 3/5*v**5 + 0*v**3 + 0*v. What is the second derivative of j(t) wrt t?
36*t**2
What is the second derivative of -26*q + 5*q + 12*q - 4*q**4 wrt q?
-48*q**2
Let c(u) be the first derivative of 0*u**2 + 0*u**4 + 3/7*u**7 + 2/3*u**3 + 0*u**6 + 0*u + 3 + 0*u**5. Find the third derivative of c(p) wrt p.
360*p**3
Let u = -11 - -18. Differentiate 0 + 8*w**3 - 3 - 3*w**3 + u wrt w.
15*w**2
Let y(v) = 24*v**4 - 14*v**2 + 14*v - 4. Let r(k) = -1 - 3*k**2 - 3*k + 8*k - 2*k + 5*k**4. Let w(m) = -28*r(m) + 6*y(m). Differentiate w(d) wrt d.
16*d**3
Let a(p) = -15*p + 5. Let w(s) = 7*s - 3. Let f(b) = 2*a(b) + 5*w(b). Differentiate f(z) wrt z.
5
Let v = 20 + -18. Differentiate -v + 141*c**2 + 2 - 142*c**2 - 1 with respect to c.
-2*c
Let r(w) = -w + 4. Let s be r(0). Suppose i + 5*j = 14, -i - 3*i - 3*j = -22. What is the third derivative of -5*q**4 - q**s - q**2 + 4*q**i wrt q?
-48*q
Let s be 6 - 1/(5/15). Let d(y) be the first derivative of -y**s - 1/2*y**4 + 0*y + 2 + 0*y**2. Find the third derivative of d(p) wrt p.
-12
Suppose 4*j = 4*m + 20, j + 2*j - 4*m = 18. Let w(c) be the second derivative of 1/6*c**3 + 0 + 3/2*c**2 + j*c. Differentiate w(z) with respect to z.
1
Suppose -5*u = -0 - 15. Suppose -u*l = -5*q - 2, -2*l + q + 18 = 3*l. What is the third derivative of -3*j**l + 2*j**4 + 2*j**4 - j**2 wrt j?
24*j
Suppose 4*g + 3*h = -g + 29, -4*g + 31 = 5*h. Differentiate -2 + g*q - 6*q + 4*q with respect to q.
2
Let v be (2/(-6))/(1/(-6)). What is the derivative of -4 + 0 - v*a**4 + 9 wrt a?
-8*a**3
Let d(q) be the first derivative of -17*q**6/6 - 8*q**2 - 5. Find the second derivative of d(m) wrt m.
-340*m**3
Let i be (-133)/(-28) + 3/(-4). What is the second derivative of -i*l + 0*l + 8*l**5 + 6*l wrt l?
160*l**3
Let n(i) be the second derivative of i**8/168 - i**6/36 - i**3 + 8*i. Let r(p) be the second derivative of n(p). What is the third derivative of r(j) wrt j?
240*j
Suppose 12 = -5*q - 3. Let w be (3*-2)/(q/2). Find the first derivative of 2 - f**w - 4 + 3*f**4 wrt f.
8*f**3
Let o(h) = -2*h**2 - 4*h + 34. Let i(p) = p**2 + 5*p - 33. Let x(b) = -3*i(b) - 4*o(b). Find the second derivative of x(j) wrt j.
10
Let d be 32/6 - (-4)/6. What is the third derivative of 3*z**3 + z**5 - 3*z**2 - 3*z**3 + d*z**2 wrt z?
60*z**2
Let v(h) = -h**3 - h. Let p(z) = -9*z - 2*z**3 + z**3 + 3*z - 5*z**3. Let b(y) = -p(y) + 3*v(y). What is the second derivative of b(m) wrt m?
18*m
Let w be -1 + 3 + 0/2. Find the second derivative of -2*b**2 + 3*b - 5*b - b**2 - w*b wrt b.
-6
Let v(m) be the second derivative of -m**8/56 - m**4 - m. Find the third derivative of v(t) wrt t.
-120*t**3
Find the third derivative of -7*u**4 - 3*u**4 + 6*u**2 + 5*u**4 + 3*u**4 wrt u.
-48*u
Let n(f) be the first derivative of 24*f**5/5 + 23*f**2/2 + 17. What is the second derivative of n(s) wrt s?
288*s**2
Let x(i) be the first derivative of 5*i**4/4 - 11*i**2/2 - 1. Find the second derivative of x(m) wrt m.
30*m
Find the third derivative of 32*p**4 + p**2 + 15*p**2 + 2*p**6 - 34*p**4 wrt p.
240*p**3 - 48*p
Let s be 6/(-4 - -2) - -8. What is the third derivative of 3*n**3 - s*n**2 + 3*n**2 - 4*n**3 + n**2 wrt n?
-6
Let n(k) be the first derivative of -k**5/5 - 31*k**3/3 - 36. Find the third derivative of n(p) wrt p.
-24*p
Let j = -30 - -50. What is the second derivative of -j*b**5 - 2*b + 12*b**5 + 5*b**5 wrt b?
-60*b**3
Let r = -2 - 1. Let d(p) = p. Let b(c) = 4*c**3 + 6*c. Let z(k) = r*d(k) + b(k). What is the second derivative of z(y) wrt y?
24*y
Suppose 1 = 3*o + 5*p - 0, 0 = -p - 1. Suppose -q + 6*q = -o*c - 19, -q = 5. Differentiate 2 - 2*b**c + 2 - 3 with respect to b.
-6*b**2
Suppose 2*w + 5*s = s + 24, -4*w = s - 20. What is the first derivative of -1 - w*p**2 + 0*p**2 + 4*p**2 - 4*p**2 wrt p?
-8*p
Let c(y) be the first derivative of -3*y**4/8 - y**3 + y**2/2 - 6. Let t(h) be the second derivative of c(h). What is the first derivative of t(u) wrt u?
-9
Let c = 3 + 0. Suppose -2*z + 4 = 2*l, 4*z + 2*l - c*l - 33 = 0. What is the third derivative of y**4 + 8*y**2 - 2*y**2 - z*y**2 wrt y?
24*y
Let k(b) be the second derivative of 23*b**7/21 - 2*b**3 - 45*b. Find the second derivative of k(z) wrt z.
920*z**3
Let h = -6 + 8. Suppose 14*r = 9*r + 10. What is the derivative of 0 + 5*p**h - 2*p**r - 1 + 2 wrt p?
6*p
Find the second derivative of 4 + 4*g**3 - 9*g - 4 + g wrt g.
24*g
Find the second derivative of -17 + 17 + 7*n + 4*n**4 wrt n.
48*n**2
Let a(o) = -o. Let z = -2 - -2. Let t be a(z). Find the third derivative of t*s**4 - 2*s**4 + 2*s**2 + 0*s**2 wrt s.
-48*s
Let w(i) be the third derivative of 0*i + 0 + 0*i**4 + 0*i**5 - 5/3*i**3 + 1/70*i**7 + 0*i**6 - 7*i**2. Differentiate w(n) wrt n.
12*n**3
Let i(j) be the second derivative of -j**5/20 + j**3 - 5*j. What is the second derivative of i(o) wrt o?
-6*o
Find the third derivative of s**3 + 8*s**3 - 19* | {
"pile_set_name": "DM Mathematics"
} |
5*x + j - d for x.
0
Let b(l) = -3*l**3 - l**2 - 6*l + 2. Let q be b(-3). Solve 2*m = 4*z + 102 - q, -4*m + 20 = 4*z for z.
0
Let l be 80/(-360) + (76/(-18))/(-1). Solve -2*p = l*n + 6, 0 = n + 4*n - 5*p - 15 for n.
0
Let t = 5934 + -5931. Solve -5*c = -t*c - 3*k + 18, -5*c - 5*k = -5 for c.
-3
Suppose 0 = -2*p - 3*v - 6, 2*p - 5*v = -p + 10. Let x = 10 + -5. Solve -x*m - 4*k - 25 = p, 3*m - k = 2*k + 12 for m.
-1
Suppose 4*m = -3*o + 83, -74 = -4*o - 3*m + 32. Let w be (3 + -2)/(1 - 0)*o. Let t be (0 - (-8)/(-2))/(-2). Solve 5 = y + 3*u, -u = 5*y + t*u - w for y.
5
Let t(o) = o + 40. Let m be t(-26). Let s(r) = -r**3 + 11*r**2 + 25*r + 27. Let c be s(13). Solve c = 5*q + 3*v, -v + m = 3*q + q for q.
4
Suppose -47*c + 65 + 311 = 0. Let w be (-6)/c*(-72 + 68). Solve 2*z + 5 = -t, 7 = -5*t - w*z - z for t.
1
Let l = -11657 + 11697. Solve 0 = 5*q - 5*s + l, 4*q - 5*q + 5*s = 20 for q.
-5
Let r be (-235)/20 - 12/48. Let s be 31/(-14)*-2 + r/(-21). Solve -5*a = s*q + 10, -a = 3*q - 0*q - 2 for q.
2
Let q(j) = 15*j + 37. Let i(v) = -31*v - 77. Let k(l) = -2*i(l) - 5*q(l). Let m be k(-3). Solve -t - m = d + 3*d, 2*t + 4 = -4*d for d.
-3
Let d be (-1)/(3 + 2)*0/(-444). Solve 5*o + 2*g + 25 = 0, 6*g - 3*g = d for o.
-5
Let q be (-186)/(-38) - (168/(-152) - -1). Solve -2*a - 2*l = -2, q*a - 2*l - 13 + 1 = 0 for a.
2
Let d = 186 + -182. Suppose 5*a = -5*g + 15, -7 = d*g + a - 19. Solve 2*q = 2*s - 3*s, g*q = 4*s - 11 for q.
-1
Let x(b) = -40 - 145 + 3*b + 2*b + 38 - b**3 + 32*b**2. Let c be x(32). Let q = -1 + 1. Solve q = 3*f - 2*g + c, 0 = -g - 4*g + 10 for f.
-3
Let j(b) = 2*b**2 - 7*b - 13. Let l(g) = -g**2 - 14*g - 6. Let y be l(-14). Let t be j(y). Let a = t - 98. Solve -4*h = -5*o - 0*h - 40, -a*o - 27 = -3*h for o.
-4
Suppose 125 = -9*d + 4*d. Let g be d/125 + (-352)/(-10). Solve 0 = 5*f - 5*t - g, 1 = t + 4 for f.
4
Let w(a) = 3*a**2 - 5*a - 55. Let v be w(-4). Suppose 9*y + v*y = 4*y. Solve 3*s - 1 + y = -5*m, 4 = 4*m + 4*s for m.
-1
Let t = 97 + -109. Let m be t*4/(-48)*4. Solve d = -v + 3, 0*v = -m*v + 4*d - 28 for v.
-2
Let y(d) = -26*d - 56. Let h(j) = -27*j - 59. Let a(x) = 4*h(x) - 5*y(x). Let v be a(-2). Solve 0 = -5*w + 3*l - 25, v = -w - l + 4*l - 17 for w.
-2
Let p = -5280 - -5304. Solve o - 5*t = -23, -4*o + 4*t + 12 = p for o.
2
Suppose 40*l - 36*l - 60 = 0. Suppose 9 = 3*k + 4*d, -2*k - 4*d - l = -7*k. Solve -7 = -m + o, 2*o - k = -3*m - o for m.
4
Let v = 11137 - 11135. Solve -4*n - 5*o + 19 = -2*n, -v*n + 1 = -o for n.
2
Let d be (-2)/((4/98)/((-44)/308)). Solve 0 = z + 2*n - d, -5*z + 17 = 5*n - 3 for z.
1
Let g = 912 + -907. Solve 104*d + 16 = -3*r + 99*d, -r = g*d + 22 for r.
3
Let v be (168/18)/1*(-12)/8. Let k be (-4)/(-72) + v/252. Solve k = 2*z + 6, 6*z = 5*p + 8*z + 26 for p.
-4
Let w = 14 + -6. Solve 0 = -g + 1, 5*n + 34 = g + w for n.
-5
Let d be (6 + -4)/((-7)/14). Let u be (-20)/(-8) - d/8. Solve 0 + 18 = o + 5*s, -u*s + 15 = 2*o for o.
3
Suppose -k + 15 = 4*k. Suppose 0 = 2*u + 3*u + k*b - 4, 5*b + 6 = -2*u. Let g be (-15)/(-12) + 1 + 3/(-12). Solve -15 = 3*v, -g*r - 2*v - u = 10 for r.
-1
Let r be 4 - -4*(-5)/10. Let w(u) = -9*u + 31. Let b be w(r). Solve 0 = -4*n + f - b, -f = -5*n - 3*f for n.
-2
Suppose 2*c + 137 = -23*c + 212. Suppose -4*p + 171 = -5. Suppose -34 = -5*m + 3*a + 44, p = 2*m + 2*a. Solve 0 = 5*j + 2*t + m, -3*t - 8 = -c*j + j for j.
-2
Let z be (-23)/(-1) - (20/(-60))/((-2)/54). Let k = 17 + -10. Solve -3*y = -2*s - z, 0 = -3*y + k*y + 2*s for y.
2
Suppose 63 = 10*w + 13. Suppose -2*r + 5 = k, -4 = 4*k + 8. Solve -2*m = 2*a - 2, w*a - 8*m = -r*m - 22 for a.
-2
Let g(s) = -2*s**3 + 68*s**2 + 6*s - 199. Let b be g(34). Solve -3*h + 2*o - 45 = -63, o - b = -2*h for h.
4
Let c = 147 + -147. Suppose -3 = 3*z, c = 5*s + 2*z - z - 149. Solve -5*g - 5*k = -2*g + s, -2*g - 7 = -k for g.
-5
Let x = -384 - -270. Let z = x - -127. Solve -5*k + 3*u + 7 = 0, 4*u + z = -4*k - 7 for k.
-1
Suppose -r + 83 = 4*h, -36*h + 5*r = -40*h + 95. Let b(a) = 3*a - 57. Let i be b(h). Solve 19 = -2*c - 5*k, c + i*k = 5*c - 27 for c.
3
Let q = 315 + -236. Suppose q*h - 75*h - 88 = 0. Solve 0 = 2*p + r + 3*r - h, -13 = -2*p - r for p.
5
Let l(n) = 20*n + 965. Let i be l(-48). Solve -u = -2*t + i, -2*t = -1 - 3 for u.
-1
Let z = -72810 + 72813. Suppose -2*u - 4*n + 22 = 0, -6 = -5*u + 5*n + 4. Solve -4*a - u + 24 = 5*d, -z*d = -5*a - 4 for d.
3
Let m(c) = 2*c**3 + 75*c**2 - 202*c - 75. Let t be m(-40). Solve 3*z - 21*v = -18*v + 6, -2*z + 25 = t*v for z.
5
Let l = 25632 + -25620. Solve 179*g - l = 183*g - 5*p, -2*g = 5*p - 24 for g.
2
Let j(o) = -260*o - 5976. Let v be j(-23). Solve -v*s = 2*i + 8, -3*i = -58*s + 55*s - 24 for i.
4
Let b be ((-956)/(-239))/(((-10)/68)/(-5)). Solve 0 = -2*x + 4*d + 8, x - 139*d + b*d = 6 for x.
0
Let u be (9 - (-126)/(-12))/((-2)/4). Suppose 92 - 317 = 5*i. Let l be 10/i - 47/(-9). Solve 3*q + 31 = l*k + 10, u*k = -3*q + 3 for k.
3
Let i = 7703 - 7691. Solve g + 3*g = -i, u - 3*g - 9 = 0 for u.
0
Let d = -8241 - -8245. Solve 0 = d*c - 7*c - 3, 4*c - 8 = -4*w for w.
3
Let w = -143 - -143. Let t(x) = x**3 + x**2 - 6*x + 7. Let g be t(-3). Solve -g = f + u - 2, 3*f + 4*u + 15 = w for f.
-5
Let q be (6/(-8))/(1/(-16)). Suppose -2*x + 3*a = 13, -6*x - a - 33 = -2*x. Let h be (x - (-96)/14)/(2/(-7)). Solve -t + 22 = -h*d, -2*t - 2*d - q = -3*t for t.
2
Suppose -6*d + 16 = -3*l - 2*d, 4*d - 16 = l. Let p be 99/(-66)*(-15 + l + -1). Let r be p/13 - (-14)/91. Solve -2*y - i = -14, -r*i - 9 = -y - 3*i for y.
5
Suppose -351*r + 7511 = 140. Solve -2*w = 10, 0 = 5*u + 2*w + r + 9 for u.
-4
Suppose -4*n = -6 - 6. Suppose t + t - 8 = 2*h, 2*t - 5 = n*h. Suppose b - 11 = -3*r, 5*b - 5 = 10*b. Solve 2*l - 6*j - t = -j, 8 = r*l - 4*j for l.
1
Suppose 2 = 12*j - 82. Let i(r) = -r**2 + 5*r + 16. Let c be i(j). Let s be 15/(-10) + 7/c. Solve 2*y + 7*k = s*k - 22, -20 = 5*k for y.
-1
Let i be -8*70/(-56) + (1 - 1). Suppose -4*t = -2*y - 3*t + 3, -3*y = 4*t - i. Solve 0 = -2*o - 0*o - y*m + 10, 4*o + m - 11 = 0 for o.
2
Suppose -108 = -195*n + 159*n. Solve 10*c + 5 = 5*m + 5*c, -n*c + 13 = m for m.
4
Let o = 102 + -99. Suppose o*n - 5*t = -1, n + 4*n = t + 13. Suppose -5*r + 2 = 3*a + 9, a - 2*r - 5 = 0. Solve f = -4*k + 6, -2*f - n = k - a for k.
2
Suppose -7 = 4*h + 77. Let y = 27 + h. Suppose x = 5*c - 3, 0*x + y = -2*c - 2*x. Solve o - 2*p + 6 = c, 1 = -p + 4 for o.
0
Let u(r) = r**3 - 21*r**2 + 2*r - 37. Let h be u(21). Solve 0 = 2*w - 3*a - 1, 4*w - 28 - 7 = -h*a for w.
5
Let w(m) = 26*m - 197. Let i be w(15). Suppose -9*n = i - 193. Let b = 58 - 36. Solve n = 5*p - b - 3, 4*h + 2*p + 10 = 0 for h.
-5
Suppose 5*a + 24 = 4*k, 182*k - 181*k - 17 = 4*a. Solve -m = t + 2 - k, -4*m = 2*t + 10 for t.
3
Suppose 0 = 15*t + 12 - 102. Let p be ((36/t)/1)/(2/(-15)). Let x = p + 45. Solve s + 5*k = 21, 3*s + x*s - 23 = -5*k for s.
1
Let v = 1841 - 1839. Solve -3*c - 3*b = -9 + 24, -v*c = b + 5 for c.
0
Let f = -50 + 70. Let n = 137977 - 137973. Let b(i) = -2*i. Let c be b(-1). Solve -p = -c*p + x, -n*x = p + f for p.
-4
Suppose -3*p - 2*s = -32, 2*p - 2*s = 2*s. Suppose -34 = p*j + 78. Let k be -3 + (j/(-4))/(2/4). Solve -5*t = -k*a - 17, 2*a - 5*t + 3 = -18 for a.
2
Suppose -58*p + 56*p + 15 = -t, -p + 15 = -2*t. Let c be (0 + 4/(-8))*0. Suppose c = -0*a - a + 5. Solve a*r + 25 = -x - 4*x, p*r - 15 = 5*x for r.
-1
Let c be ((-6)/44)/(134/(-737)) - 13/(-4). Solve c*i - 21 + 8 = -b, -4*b - 53 = -5*i for i.
5
Let q = 316 + -314. Let s be (-25 - 50)*(q/3 - 1). Solve -3*z = -b + s - 10, 3*z = -4*b for z.
-4
Let v be (-27 + 29)/(1 + 0). Let z be (-3 - -6)/((-5)/4 + v). Solve k = 2*x - 0*k + 9, -2*k - 22 = z*x for x.
-5
Suppose 3*r = 0, -3*t - 2*r = -r - 15. Suppose l = 4*x - 16, -3*l + t*x + 8 = 7*x. Solve l = -2*s - 4*i + 2, 4*i = s - 2 - 5 for s.
3
Suppose -3*w - l + 851 = 0, 4*w - 5*l - 1160 = -0*w. Let h = -279 + w. Solve h = -3*p - 2*o, -o + 0 = -3 for p.
-4
Suppose 8*j - 98*t = 11*j + 475, 5 = 2*j + t. Let g(b) = -b**3 + 6*b**2 + 5*b + 2. Let v be g(6). Solve 5*r - 11 = -x, r = j*r - 5*x - v for r.
3
Let c(r) = -3*r**3 - 2*r**2 - 6*r - 2. Let n be c(-1). Let w be 1/(2/4*1). Suppose n*b = w*u + 6, -b + 6 = 2*b. Solve -2*q = -4*i - u, 1 = -4*q - i - 13 for q.
-3
Let u be 90/12 - (-1)/2*-1. Suppose -a - m - 9 = -2*a, 3*a | {
"pile_set_name": "DM Mathematics"
} |
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