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4 is divided by n.
5
Suppose 0 = 5*t + 5*g - 10, -4*t + 5*t - 2*g = -10. Let x be t/(-8) - 2035/(-20). Suppose -3*b + 45 + x = 0. Calculate the remainder when b is divided by 17.
15
Let d = 34 + -20. Let k = 9 + -4. Calculate the remainder when d is divided by k.
4
Let a(s) be the second derivative of -s**5/20 + 19*s**4/12 - 6*s**3 - 11*s**2 + 17*s. Calculate the remainder when a(16) is divided by 43.
41
Suppose 4*p = 142 - 46. Suppose 2*x - 8*r + 18 = -6*r, 3*x = 5*r - 29. Let w = 1 - x. What is the remainder when p is divided by w?
6
Suppose -14*k = -1713 - 933. Calculate the remainder when k is divided by 16.
13
Let s = -4 - -10. Suppose s*m - 7*m = -163. Calculate the remainder when m is divided by 33.
31
Let j = -99 + 112. What is the remainder when 63 is divided by j?
11
Suppose -2*z + 76 = -0*z + 3*h, 0 = -2*z - 5*h + 72. What is the remainder when z is divided by 17?
7
Suppose -5*u = 2*t + 331, -5*u + 0*u + 4*t - 343 = 0. Let o = -50 - u. What is the remainder when 64 is divided by o?
13
Suppose 5*i = -10, -k - i = 3*i + 10. Let o(f) = -16*f + 3. Calculate the remainder when 137 is divided by o(k).
32
Let b = -569 + 585. Calculate the remainder when 829 is divided by b.
13
Suppose -4*u - 627 = -7*u. Let f = -83 + u. Calculate the remainder when f is divided by 16.
14
What is the remainder when 12/3 + (-9792)/(-18) is divided by 19?
16
Suppose -68 = -4*p - 0*p. What is the remainder when p is divided by (-10)/3*(3 - 45/10)?
2
Let w(a) = a**3 - 2*a**2 - 5*a + 4. Let l be w(4). Let n = -14 + l. Suppose n*g - 6*g + 5 = -3*d, 4*d = -4*g + 40. What is the remainder when g is divided by 2?
1
Suppose -4*x + 10 = -2, 0 = 3*m + 2*x - 15. What is the remainder when 29 is divided by m?
2
Let a(s) = s**2 - 46*s + 165. Calculate the remainder when a(46) is divided by 22.
11
Suppose 0 = 2*x - 4*p - 54, 98*p - 81 = -2*x + 93*p. Calculate the remainder when 80 is divided by x.
14
Suppose 1602 = 58*m - 22. Calculate the remainder when 53 is divided by m.
25
Let d = 20 + -8. Let a = 2573 - 2515. Calculate the remainder when a is divided by d.
10
Suppose 0 = -8*k + 161 + 151. Calculate the remainder when k is divided by 6.
3
Let k(o) = o**2 - o + 2. Let t(f) = 7*f - 23. Calculate the remainder when t(11) is divided by k(-3).
12
Let m = -65 - -39. Let d = -22 - m. Suppose n = p - 23, 3*p - d*n - 110 = -2*p. Calculate the remainder when p is divided by 6.
0
Suppose 3*z - 3*z = -z. Suppose z = 2*k + 4*s - 8, s = -3*k + 36 - 4. Let j = 62 - 27. What is the remainder when j is divided by k?
11
Suppose 6*a = -2*a + 56. Calculate the remainder when 146 is divided by a.
6
What is the remainder when 2/12*2 - 4620/(-45) is divided by 12?
7
Suppose -29*t - 488 = -37*t. Suppose 15 = 4*l + i - 45, 0 = 4*l - 4*i - 80. Calculate the remainder when t is divided by l.
13
Let u = 45 - 12. Suppose 8 = 6*j + 2. What is the remainder when u is divided by (-144)/32*(-2)/j?
6
Let o = 2447 + -2369. Calculate the remainder when 381 is divided by o.
69
Let o = -33 + 44. Suppose 0 = -2*n + 2*h + 60, -h = 2*h. Calculate the remainder when n is divided by o.
8
Let n = -9 + 11. Suppose -q + 4*r + 51 = n*q, 0 = 3*q + r - 36. What is the remainder when 63 is divided by q?
11
Let h(y) = -13*y + 115. What is the remainder when h(7) is divided by 5?
4
What is the remainder when 356 is divided by 68*10/20 - (-4)/(-1)?
26
Suppose 321 = 3*i - 5*q, -9*q - 214 = -2*i - 8*q. Calculate the remainder when i is divided by 12.
11
Let t = -598 - -646. Calculate the remainder when t is divided by 7.
6
Suppose -3*j + 3 = 12, -4*l + 244 = 4*j. Suppose -4*a + 5*a + 5*d = 52, -a + l = -d. What is the remainder when a is divided by 33?
29
Calculate the remainder when 185 is divided by 4 - (-3 - -4 - (-2 - -27)).
17
Let r(x) = -2*x - 12. Calculate the remainder when (4/3)/((-6)/(-207)) is divided by r(-14).
14
Suppose 132*p = 128*p + 3*i + 25, -5*p + 65 = 3*i. What is the remainder when 76 is divided by p?
6
Let a = -54 - -61. Suppose 14 = a*b - 14. What is the remainder when 17 is divided by b?
1
Calculate the remainder when 82 is divided by 69/2*8/12 + 1.
10
Suppose 0 = o - 135 - 41. Calculate the remainder when o is divided by 34.
6
Suppose -20*h - 19*h + 195 = 0. What is the remainder when 173 is divided by h?
3
Calculate the remainder when 188 is divided by (7897/(-298))/(1/(-2)).
29
Let n(p) = 11*p - 457. What is the remainder when 1/2 - (-957)/6 is divided by n(44)?
25
Let s = 190 + -131. Let d = s - 38. Calculate the remainder when d is divided by 6.
3
Calculate the remainder when 18 is divided by (594/(-33))/(2 - 3).
0
Suppose 34 = 5*w - 111. Calculate the remainder when 158 is divided by w.
13
Let r(s) = -s**2 + 17*s + 2. Calculate the remainder when r(8) is divided by 1/2 + (-2923)/(-158).
17
Let u(y) = -y**2 - 8*y + 1. Let g be u(0). Calculate the remainder when (197 - g)/(1 - -1) is divided by 34.
30
What is the remainder when 68 is divided by 21 - 6*(-63)/(-54)?
12
Suppose 396 = -2*u + 6*u. Suppose 0 = -2*b + j + 40 - 8, 0 = 4*b + 2*j - 72. What is the remainder when u is divided by b?
14
Let y be 9 + (2 + 0)*-2. Suppose -a - 121 = -3*n, 3*a = y*n - a - 211. What is the remainder when n is divided by 21?
18
Let u = 1683 + -1662. What is the remainder when 170 is divided by u?
2
Let b(x) = -x**2 - 7*x + 4. Let f be b(-7). Let o = -36 - -80. Suppose -m + f*m + 12 = 2*k, -4*k - 4*m = -o. What is the remainder when 25 is divided by k?
7
Let t(l) = -l**3 - 2*l**2 - l - 113. Let g be t(0). Let a = 163 + g. What is the remainder when a is divided by 13?
11
Suppose 0 = 10*x - 16*x + 330. What is the remainder when x is divided by 14?
13
Suppose -5*b = 4*r - 152, 3*r - 122 = -4*b - 0*b. Let k be (b/(-4))/(2/(-1)). Suppose p = -p + k. What is the remainder when 4 is divided by p?
0
Suppose 110 = 17*t - 7*t. What is the remainder when 20 is divided by t?
9
Let q(t) be the second derivative of t**3 + t**2/2 - 24*t. What is the remainder when q(5) is divided by 7?
3
Let m(s) = -35*s - 3. Calculate the remainder when m(-2) is divided by 11.
1
Suppose 221*o - 186 = 219*o. Suppose -4*h = h + 5*t - 55, 0 = 3*t + 3. Calculate the remainder when o is divided by h.
9
Suppose -12*z = 5*y - 7*z - 275, 4*z = -2*y + 104. Calculate the remainder when y is divided by 6.
4
Let l(q) = 7*q - 7. Calculate the remainder when l(9) is divided by ((-18)/(-4))/(60/(-80)) - -16.
6
Let n(s) = -s**3 + 6*s**2 + 21*s - 97. What is the remainder when 1505 is divided by n(6)?
26
Suppose 0*a = 2*a - 6. Suppose 0 = a*p - 0*p - 57. Let f(z) = z**3 - 6*z**2 + 4*z + 12. What is the remainder when p is divided by f(5)?
5
Let h(z) = 20*z**3 - 5*z**2 + 3*z - 4. Let u(q) = q**2 - 9*q + 16. Let i be u(7). Calculate the remainder when h(i) is divided by 16.
14
Let t = 3 - -60. What is the remainder when (-24)/42 - 578/(-7) is divided by (t/15)/((-3)/(-15))?
19
Let g(z) = z**3 + 7*z**2 + 5*z - 10. Calculate the remainder when 51 is divided by g(-4).
15
Suppose -23 = 5*k - 158. Calculate the remainder when 79 is divided by k.
25
Let q be 10 + 1*24/(-6). Suppose -q*x - 8 = -56. What is the remainder when x is divided by 3?
2
Suppose 5*u + 53 = -127. Let f = -14 - u. Let m = -2 + f. What is the remainder when 59 is divided by m?
19
Let u(n) = n**2 + 6*n + 5. Calculate the remainder when ((-615)/(-45))/(1/6) is divided by u(-8).
19
Let o(f) = -2*f**3 + 11*f**2 + 8*f - 3. Suppose -3 - 25 = -5*g + q, -10 = -3*g + 4*q. Calculate the remainder when (2/(-3))/((-2)/51) is divided by o(g).
8
Suppose -5*b + 1380 + 655 = 0. Calculate the remainder when b is divided by 12.
11
Let k = -133 + 145. Calculate the remainder when 23 is divided by k.
11
Suppose -4*u + 12 = -60. Suppose 0 = 13*c - 9*c - 28. What is the remainder when u is divided by c?
4
Let b = 570 + 132. Let o be (-16)/(-6)*(-3)/(-2). Suppose -2*c + b = o*c. Calculate the remainder when c is divided by 30.
27
Suppose -5*x - 43*n + 48*n = -60, n = 5*x - 72. Suppose 0 = -h, -4*a + 0*h + 164 = 4*h. What is the remainder when a is divided by x?
11
Let s be 12/8*110/3. Suppose 2*w = -2*q - 0*w + 34, -5*w - s = -5*q. Suppose 0 = -4*u + 30 + q. What is the remainder when u is divided by 6?
5
Let p be 12/(((-9)/(-8))/3). Suppose 0*f + 40 = 2*u - 4*f, -p = -u - 4*f. What is the remainder when u is divid
|
{
"pile_set_name": "DM Mathematics"
}
|
4*u - 6
What is the first derivative of 343*j**2*q**2 + 3*j*q**2 + 87*q**2 + q wrt j?
686*j*q**2 + 3*q**2
Differentiate -240*y + 146 with respect to y.
-240
Find the second derivative of 2*d**3*j - 476*d**2*j**3 - 5*d**2*j**2 - 2*d*j**3 - 5860*j wrt d.
12*d*j - 952*j**3 - 10*j**2
What is the first derivative of i**4 + 29*i - 228?
4*i**3 + 29
Find the second derivative of -671*l**2*r**2 - 38*l**2*r + 6*l*r wrt r.
-1342*l**2
What is the third derivative of -3378*d**3*n**2 + 8*d**2 - 3*d*n**2 - 4*d wrt d?
-20268*n**2
Differentiate -2*s**4 + 10516*s**3 + 13184 wrt s.
-8*s**3 + 31548*s**2
What is the first derivative of -12*u**4 - 12*u**2 + 577?
-48*u**3 - 24*u
Find the third derivative of 129*d**3*n**2 + d**3 + 47*d**2*n**2 + 2*d**2*n + d*n wrt d.
774*n**2 + 6
Find the third derivative of 147*h**2*u**3*v - 2*h**2*u**2*v - 2*h**2*u*v - 8*h**2*u - h**2*v - 19*h*u**2*v - 3*u**3*v wrt u.
882*h**2*v - 18*v
What is the third derivative of -1498*s**3 + 3832*s**2 wrt s?
-8988
Differentiate -540*s*z**3 - 2*s*z**2 + 32001*z**3 wrt s.
-540*z**3 - 2*z**2
What is the first derivative of -1121*h**3 + 5243?
-3363*h**2
What is the first derivative of -20694*f**2 + 14225 wrt f?
-41388*f
Differentiate 4*g**2*n - 2*g*n + 139*g + 6*n + 45 wrt g.
8*g*n - 2*n + 139
Find the second derivative of 9*c**3*z**3 - 7*c**3*z**2 - 2*c**3*z + 127*c**3 + c**2*z**3 wrt z.
54*c**3*z - 14*c**3 + 6*c**2*z
Find the first derivative of 79*h*q**3 + 3*h*q**2 + 5*q**3 - 10*q wrt h.
79*q**3 + 3*q**2
Find the first derivative of 424*i + 183.
424
Find the second derivative of -3*c**3*p*s**2 - 14*c**3*p - 88*c**3*s**2 - c**2*p*s - 5*c*s - p wrt s.
-6*c**3*p - 176*c**3
Find the third derivative of 2054*j**3 + 1693*j**2.
12324
What is the third derivative of 45*j**3*s**3*u**3 + 8*j**3*u**3 - j**2*s**3*u**2 + 13*j**2*s**3*u + j*s**3*u**2 - j*u - 25*s**3*u**3 wrt j?
270*s**3*u**3 + 48*u**3
Find the third derivative of 33*p**3*s**2 + 2*p**3 + 2*p**2 - p + 8*s**2 wrt p.
198*s**2 + 12
Find the third derivative of -5*d*g**4*t**2 + 13*d*g**2*t**3 - 5*g**6*t**3 + 2*g**2*t - g*t**3 wrt g.
-120*d*g*t**2 - 600*g**3*t**3
Find the second derivative of 3*p**2*t**3 - 2*p**2*t + 45*p**2 - 550*p*t**2 + 65*p*t wrt t.
18*p**2*t - 1100*p
Find the second derivative of 184*o**5 + 24*o**3 - o + 17499.
3680*o**3 + 144*o
Find the third derivative of 16*b**6*d - 3*b**3*d + 175*b**2*d - 2*b*d wrt b.
1920*b**3*d - 18*d
Find the third derivative of -74*b**5 + 2*b**4*m + 35*b**2*m - b**2 - 2*m wrt b.
-4440*b**2 + 48*b*m
Differentiate -3*k*t**4 + 78*k*t**3 + 48*k + 2 wrt t.
-12*k*t**3 + 234*k*t**2
What is the second derivative of -4*j*n**3*x - 5*j*n**3 + 2*j*n**2*x - 6*j*n - 3*n*x + 2*n - 2*x wrt n?
-24*j*n*x - 30*j*n + 4*j*x
Differentiate -2*d**3*n**3 - 351*d**3 + 277*n**4 wrt n.
-6*d**3*n**2 + 1108*n**3
What is the derivative of a**2*r**3 + 3*a**2*r**2 - 49*a**2 + 2543*r**3 wrt a?
2*a*r**3 + 6*a*r**2 - 98*a
What is the derivative of -o*q*r + 756*o*q - 1941*o*r**2 + q*r**2 + 2*q - 4*r**2 wrt q?
-o*r + 756*o + r**2 + 2
Find the second derivative of 1746*s**2 + 1274*s.
3492
What is the third derivative of 26*l**6 + 10*l**5 - 13*l**2 - 8*l + 14 wrt l?
3120*l**3 + 600*l**2
Find the third derivative of -750*f**5*x - 8*f**4*x + 177*f**2 - 7*f*x wrt f.
-45000*f**2*x - 192*f*x
Find the third derivative of -j**6 + 38*j**5 - 58*j**4 - 1841*j**2 - 2 wrt j.
-120*j**3 + 2280*j**2 - 1392*j
What is the first derivative of 6*h*n**2 + 1986*h*n - 2*h + 15408*n**2 wrt h?
6*n**2 + 1986*n - 2
What is the second derivative of 3368*z**2 - 58*z - 9?
6736
What is the second derivative of 750*i**4 - i**2 - 90*i - 3?
9000*i**2 - 2
What is the first derivative of 15*i**3 - 205*i + 5569?
45*i**2 - 205
What is the third derivative of -3917*k**6 - 10*k**2 + 201 wrt k?
-470040*k**3
Find the first derivative of -19*k**2*u - 501*k**2 + 6*u wrt u.
-19*k**2 + 6
Find the second derivative of -2807*t**5 - 1384*t.
-56140*t**3
What is the derivative of 4*s**4*u - 18*s*u - s + 1733*u wrt s?
16*s**3*u - 18*u - 1
What is the second derivative of 131*w**3 - 51*w?
786*w
What is the second derivative of 12*g**2*t**2 - 3*g**2*t + 6*g*t**2 + 8*t**2 wrt g?
24*t**2 - 6*t
What is the third derivative of 13*a**4 - 79*a**3 + 2*a**2 + 1903?
312*a - 474
What is the second derivative of -478*m**3 + 162*m?
-2868*m
What is the second derivative of 798*h**4 - 452*h wrt h?
9576*h**2
What is the derivative of -17*d**2*h**2*p - 180*d**2 - 33*d*h**2*p + 6*d*h**2 wrt p?
-17*d**2*h**2 - 33*d*h**2
Find the third derivative of 145*r**3 + r**2 - 44 wrt r.
870
What is the second derivative of 14*o**2*q**2 - 196*o**2 + 2*o*q + o - 21*q**2 - 10*q wrt o?
28*q**2 - 392
What is the second derivative of -78*l**3*r**3 - 4*l**3 - 13*l**2*r**3 + 2*r + 39 wrt r?
-468*l**3*r - 78*l**2*r
Differentiate 4*s*u + 354*s*y - 12*u*y - u with respect to u.
4*s - 12*y - 1
Find the second derivative of -k*y**3 + 182*k*y + 178*y**4 wrt y.
-6*k*y + 2136*y**2
Find the second derivative of -2*c*m**2 - 6*c*m - m**3 - 5*m**2 - m - 6 wrt m.
-4*c - 6*m - 10
Find the first derivative of -49*k - 157.
-49
What is the first derivative of 11353*k + 8485?
11353
Find the second derivative of 941*d**2 + 7*d - 11 wrt d.
1882
What is the first derivative of 17*r**3*u**3 + 31*r**3*u - 962*u**3 wrt r?
51*r**2*u**3 + 93*r**2*u
Differentiate 1708*k*z - 152*k with respect to z.
1708*k
What is the first derivative of -96*n**2 + n + 218?
-192*n + 1
What is the third derivative of 4*s**6 + 25*s**4 - 4*s**3 - 330*s**2 - 16 wrt s?
480*s**3 + 600*s - 24
What is the second derivative of -16*i**4*s**3 + 36*i**3*s**3 + 143*i*s**3 - i*s**2 wrt i?
-192*i**2*s**3 + 216*i*s**3
What is the first derivative of 9467*q**2 - 9979 wrt q?
18934*q
Find the first derivative of -47*o**3 - 2*o + 65.
-141*o**2 - 2
Find the third derivative of 125*n**3 - 535*n**2 wrt n.
750
Find the second derivative of 65*u**5 + 11*u + 3.
1300*u**3
Find the third derivative of 343*g*n**3 + g*n**2 - 9*g - 2*n**5 + 4*n**2 wrt n.
2058*g - 120*n**2
What is the second derivative of 6473*q**2 + 13*q + 5?
12946
What is the first derivative of -4120*j + 3260?
-4120
What is the third derivative of -3368*f**6 - 2*f**4 + 3*f**2 - 917?
-404160*f**3 - 48*f
Find the second derivative of 128*n**3 + 6*n**2*x**3 - 9*n*x**3 - 3*n*x - n - 24*x wrt n.
768*n + 12*x**3
Differentiate 5*a*r - 130*a + r**2 + r wrt r.
5*a + 2*r + 1
Find the third derivative of 14*y**6 - 3*y**5 + 56*y**3 - 2643*y**2.
1680*y**3 - 180*y**2 + 336
What is the second derivative of -d**3*w**4 - 40*d**3*w + 11*d**3 - 6*d**2 - 2*d*p - 1106*p*w**3 wrt w?
-12*d**3*w**2 - 6636*p*w
What is the second derivative of -l*u**2*y**3 - 2*l*u**2*y**2 + 27*l*u*y + 3*l*y**3 - 2*l*y**2 - 5*u**2*y**3 wrt u?
-2*l*y**3 - 4*l*y**2 - 10*y**3
Find the second derivative of -4*k**4*z - 3*k**3*s*z + 3*k**2*s + k*s - 11*k*z wrt k.
-48*k**2*z - 18*k*s*z + 6*s
Find the third derivative of 12*c*s**3*v**3 - 9*c*s**3 - c*s**2 + c*v**3 - 3*c*v**2 - 2*c*v + s**3*v**3 wrt s.
72*c*v**3 - 54*c + 6*v**3
What is the first derivative of -4*l*p**3 + 145*l*p*s - 2*l - 37*s wrt p?
-12*l*p**2 + 145*l*s
Find the third derivative of 2*g*o**3*p - 2*g*o**2*p**2 + 24*g*o**2*p + 13*o**5 - 4*o**4*p**3 - o*p**2 + 3*p**3 wrt o.
12*g*p + 780*o**2 - 96*o*p**3
Find the second derivative of 21*g*h + 32*g*o**3 - 6*g*o**2 - 2*g - 6*h**2*o**3 - 2*h**2 - 14*h*o - h wrt o.
192*g*o - 12*g - 36*h**2*o
What is the second derivative of -6*n**3 + 2*n**2*q + 7*n**2 + 14*n*q - 6 wrt n?
-36*n + 4*q + 14
Differentiate -17886*z**4 - 21641.
-71544*z**3
What is the first derivative of 1011*p - 633?
1011
What is the third derivative of 7687*q*v**3 + 13*q*v**2 - q*v + 156 wrt v?
46122*q
Differentiate 15*c**3 - c - 85.
45*c**2 - 1
Differentiate -4*m*o*p*u**2 + 3*m*o - 16*m*p*u**2 - o*p*u**2 + 5*o*p - 2*p*u wrt m.
-4*o*p*u**2 + 3*o - 16*p*u**2
Find the third derivative of 31*r**3 - r**2 - 8*r wrt r.
186
What is the derivative of 436*b**3*g*u + 302*b**3*u + b**3 + 2*b*g*u wrt g?
436*b**3*u + 2*b*u
What is the third derivative of -2*h*m**3*u - h*m**3 + 9*h*m**2 + 3*h*m*u**3 + 10*h*u**3 - 2*m**3*u**3 + m**2*u**2 wrt u?
18*h*m + 60*h - 12*m**3
Find the third derivative of -18*j**3*u**2 - 3*j**3 + 5*j**2*u - u**2 - 6*u wrt j.
-108*u**2 - 18
What is the third derivative of 2*p**6*u + 48*p**3*u**2 - 8*p
|
{
"pile_set_name": "DM Mathematics"
}
|
4 a multiple of 58?
False
Does 60 divide 267349?
False
Does 14 divide 6842836?
True
Does 212 divide 14873072?
True
Is 1074979 a multiple of 23?
False
Is 159 a factor of 517740?
False
Does 175 divide 149848?
False
Does 591 divide 317367?
True
Does 3 divide 11280?
True
Does 21 divide 124236?
True
Is 288 a factor of 3631104?
True
Is 1224 a factor of 111384?
True
Is 1479518 a multiple of 4?
False
Is 13308290 a multiple of 655?
True
Is 49 a factor of 3317692?
True
Is 233862 a multiple of 13?
False
Is 147 a factor of 160550?
False
Is 158832 a multiple of 48?
True
Does 422 divide 241583?
False
Does 664 divide 1834950?
False
Does 19 divide 75547?
False
Is 91924 a multiple of 196?
True
Is 15 a factor of 1215206?
False
Is 125195 a multiple of 17?
False
Does 12 divide 648348?
True
Is 70946 a multiple of 19?
True
Is 112 a factor of 16810867?
False
Does 358 divide 2318766?
True
Is 846867 a multiple of 587?
False
Is 2155397 a multiple of 52?
False
Does 349 divide 252762?
False
Does 141 divide 57810?
True
Is 16 a factor of 1375907?
False
Does 273 divide 392028?
True
Does 61 divide 29894331?
True
Does 628 divide 1097534?
False
Is 900 a factor of 1724400?
True
Is 14 a factor of 2426256?
True
Does 244 divide 386252?
True
Is 59640 a multiple of 15?
True
Is 7 a factor of 778456?
True
Is 34 a factor of 9400635?
False
Does 327 divide 2078510?
False
Is 4 a factor of 409220?
True
Is 3 a factor of 39002?
False
Is 3918395 a multiple of 95?
False
Does 35 divide 8890214?
False
Is 114450 a multiple of 15?
True
Is 308898 a multiple of 393?
True
Does 37 divide 200369?
False
Does 532 divide 250602?
False
Is 22 a factor of 40702?
False
Is 60254 a multiple of 4?
False
Does 326 divide 2294388?
True
Is 9 a factor of 2370931?
False
Is 26 a factor of 5850?
True
Is 37 a factor of 79357?
False
Is 320 a factor of 1216?
False
Does 75 divide 40300?
False
Does 7 divide 1313533?
False
Is 33 a factor of 72941?
False
Does 334 divide 2959240?
True
Is 85 a factor of 329564?
False
Is 39 a factor of 13426?
False
Is 147968 a multiple of 9?
False
Is 537 a factor of 4008906?
False
Does 136 divide 304676?
False
Is 1151704 a multiple of 1413?
False
Is 814 a factor of 9761254?
False
Does 53 divide 303776?
False
Does 54 divide 46602?
True
Is 2157163 a multiple of 416?
False
Is 16 a factor of 470064?
True
Is 316 a factor of 6183379?
False
Is 194334 a multiple of 90?
False
Is 127081 a multiple of 123?
False
Is 192 a factor of 377472?
True
Is 117012 a multiple of 49?
True
Does 4 divide 253371?
False
Does 89 divide 8298?
False
Does 10 divide 76268?
False
Is 260972 a multiple of 11?
False
Does 4 divide 1566452?
True
Is 35 a factor of 818020?
True
Is 2107016 a multiple of 234?
False
Does 9 divide 1313713?
False
Is 75776 a multiple of 37?
True
Is 37 a factor of 642616?
True
Does 57 divide 49018?
False
Is 3 a factor of 12978?
True
Does 7 divide 39949?
True
Is 10885716 a multiple of 1198?
False
Is 6223176 a multiple of 1047?
False
Is 386077 a multiple of 91?
False
Is 194 a factor of 684432?
True
Is 1196329 a multiple of 77?
False
Does 5 divide 3790?
True
Does 10 divide 2412930?
True
Is 65836 a multiple of 109?
True
Is 2084560 a multiple of 10?
True
Is 143 a factor of 28374?
False
Is 107976 a multiple of 44?
True
Is 9 a factor of 21997764?
True
Is 1609 a factor of 10111518?
False
Is 82 a factor of 79540?
True
Does 128 divide 568494?
False
Is 630960 a multiple of 44?
True
Is 65 a factor of 249210?
True
Is 60372 a multiple of 9?
True
Does 947 divide 8015408?
True
Is 2998123 a multiple of 133?
False
Is 584752 a multiple of 9?
False
Is 57350 a multiple of 50?
True
Does 163 divide 17441?
True
Does 12 divide 125983?
False
Does 323 divide 950827?
False
Is 137 a factor of 248792?
True
Is 224534 a multiple of 9?
False
Is 3328278 a multiple of 3?
True
Is 4471523 a multiple of 72?
False
Does 23 divide 404271?
True
Is 5 a factor of 7281614?
False
Does 47 divide 204850?
False
Does 10 divide 512260?
True
Is 1275 a factor of 5298900?
True
Does 212 divide 152216?
True
Is 39408 a multiple of 48?
True
Is 12 a factor of 2590296?
True
Is 2906403 a multiple of 967?
False
Is 134961 a multiple of 20?
False
Does 30 divide 2895540?
True
Is 7424739 a multiple of 163?
False
Does 15 divide 314505?
True
Is 3049184 a multiple of 327?
False
Is 35 a factor of 39916?
False
Does 52 divide 12844?
True
Is 376010 a multiple of 34?
False
Is 35 a factor of 70420?
True
Is 189 a factor of 22302?
True
Does 502 divide 18468905?
False
Is 26754 a multiple of 273?
True
Is 10 a factor of 2147120?
True
Is 89 a factor of 465382?
False
Is 5 a factor of 42715?
True
Is 5784 a multiple of 6?
True
Is 950175 a multiple of 103?
True
Is 9466479 a multiple of 99?
True
Is 355 a factor of 1357504?
False
Does 152 divide 4271048?
True
Is 92905 a multiple of 17?
True
Does 11 divide 3162509?
False
Is 353662 a multiple of 44?
False
Is 14 a factor of 1829926?
True
Is 5 a factor of 93625?
True
Is 4 a factor of 19832?
True
Does 45 divide 789795?
True
Does 516 divide 33049284?
True
Is 498775 a multiple of 71?
True
Is 9464871 a multiple of 39?
True
Is 7 a factor of 4638137?
True
Does 694 divide 4288920?
True
Does 502 divide 78312?
True
Is 18 a factor of 442952?
False
Is 89 a factor of 159666?
True
Is 564768 a multiple of 848?
True
Is 20299 a multiple of 14?
False
Does 459 divide 424625?
False
Does 153 divide 1387140?
False
Does 5 divide 4477?
False
Is 2 a factor of 281111?
False
Does 15 divide 11793?
False
Is 1796625 a multiple of 125?
True
Does 228 divide 149340?
True
Is 32 a factor of 24332128?
True
Does 323 divide 718301?
False
Does 267 divide 364471?
False
Does 34 divide 471512?
True
Is 89 a factor of 417410?
True
Is 822390 a multiple of 237?
True
Is 109 a factor of 505433?
True
Does 140 divide 340060?
True
Does 8 divide 15752?
True
Is 54 a factor of 3771900?
True
Is 972933 a multiple of 210?
False
Does 76 divide 32817?
False
Does 32 divide 154144?
True
Does 27 divide 7264?
False
Does 131 divide 293440?
True
Does 53 divide 10369079?
True
Does 8 divide 250197?
False
Is 1295 a factor of 6492564?
False
Is 6001888 a multiple of 70?
False
Is 4 a factor of 70416?
True
Is 655428 a multiple of 24?
False
Is 3 a factor of 164958?
True
Is 815 a factor of 16613883?
False
Is 400330 a multiple of 38?
True
Is 101608 a multiple of 52?
True
Is 4960100 a multiple of 257?
True
Does 4 divide 30162?
False
Does 3 divide 50364?
True
Is 7 a factor of 1823185?
True
Is 37 a factor of 5780843?
True
Does 246 divide 6283480?
False
Is 39 a factor of 3244917?
True
Is 352665 a multiple of 85?
True
Is 18 a factor of 612288?
True
Does 1296 divide 4936969?
False
Does 406 divide 472178?
True
Does 57 divide 595080?
True
Is 51565 a multiple of 4?
False
Is 3294612 a multiple of 138?
True
Is 1212635 a multiple of 620?
False
Is 58 a factor of 552906?
False
Does 755 divide 3367459?
False
Is 6 a factor of 588114?
True
Is 5 a factor of 9280?
True
Is 36377 a multiple of 19?
False
Does 30 divide 263448?
False
Is 303 a factor of 380265?
True
Is 296684 a multiple of 17?
True
Is 56 a factor of 10380608?
True
Is 6 a factor of 634620?
True
Is 48783 a multiple of 303?
True
Is 2660305 a multiple of 5?
True
Is 12 a factor of 5749219?
False
Is 121900 a multiple of 42?
False
Does 17 divide 2062644?
True
Does 9 divide 50825?
False
Does 10 divide 9697860?
True
Does 869 divide 337172?
True
Is 16 a factor of 143213?
False
Is 34036901 a multiple of 193?
True
Does 318 divide 1204670?
False
Is 262605 a multiple of 7?
True
Does 12 divide 73541?
False
Does 148 divide 173160?
True
Does 13 divide 2887846?
True
Is 24 a factor of 1079520?
True
Is 19360 a multiple of 20?
True
Does 169 divide 56108?
True
Is 62 a factor of 405532?
False
Does 1160 divide 9389040?
True
Is 3331074 a multiple of 50?
False
Is 4851936 a multiple of 204?
True
Does 26 divide 10906?
False
Is 250 a factor of 5338250?
True
Does 6 divide 445416?
True
Is 94 a factor of 47000?
True
Is 33 a factor of 13284996?
False
Does 565 divide 1065240?
False
Does 296 divide 602952?
True
Is 658821 a multiple of 6?
False
Is 22 a factor of 12848?
True
Is 73 a factor of 215569?
True
Is 357750 a multiple of 52?
False
Is 135 a factor of 437414?
False
Is 205827 a multiple of 11?
False
Is 389 a factor of 42401?
True
Is 45352 a multiple of 3?
False
Does 29 divide 5547845?
True
Is 78053 a mult
|
{
"pile_set_name": "DM Mathematics"
}
|
x(85).
180
Let u(r) = 7124*r - 327643. Determine u(46).
61
Let p(a) = a**2 + 7330*a - 21998. Determine p(3).
1
Let u(p) = -16*p**2 + 532*p - 2687. Determine u(27).
13
Let d(j) = -7*j**3 - 19*j**2 + 110*j - 45. Determine d(5).
-845
Let s(r) = 1276*r + 51859. Give s(-41).
-457
Let w(r) = -2*r**3 - 4*r**2 + 6308*r + 25187. Give w(-4).
19
Let i(u) = -2*u**2 + 116*u - 342. What is i(52)?
282
Let r(z) = -17*z**2 + 201*z + 27. What is r(13)?
-233
Let n(s) = -12468*s**2 + 249360*s - 15. Give n(20).
-15
Let z(h) = 449*h - 25431. Determine z(57).
162
Let c(t) = t**2 - 150*t + 4712. Determine c(107).
111
Let m(u) = u**3 + 113*u**2 + 1046*u + 984. What is m(-9)?
-6
Let c(i) = -i**3 + 9*i**2 - 1412*i + 9787. What is c(7)?
1
Let k(c) = -34*c**2 - 461*c - 161. What is k(-13)?
86
Let v(r) = -32219*r + 1159886. Calculate v(36).
2
Let n(d) = d**2 - 1210*d + 166834. Give n(159).
-275
Let k(u) = 2*u**2 + 3386*u - 20351. What is k(6)?
37
Let y(d) = -d**3 + 30*d**2 + 86*d + 1224. Calculate y(36).
-3456
Let n(s) = s**3 - 65*s**2 - 447*s + 1098. Calculate n(71).
-393
Let l(a) = -27778*a + 1583401. What is l(57)?
55
Let o(n) = -25*n**2 + 160*n - 46. Determine o(6).
14
Let r(i) = -28*i**2 - 2429*i + 3290. Calculate r(-88).
210
Let r(d) = -4447*d - 52885. Determine r(-12).
479
Let b(q) = 3*q**3 + 5*q**2 + 13*q + 2. Give b(6).
908
Let i(y) = y**3 + 93*y**2 - 155*y + 22599. Give i(-97).
-2
Let o(a) = -12*a + 5768. What is o(483)?
-28
Let z(f) = -2*f**3 - 725*f**2 - 6704*f + 1048. Calculate z(-353).
-11
Let q(x) = -54*x**2 + 265*x + 1286. Give q(-5).
-1389
Let o(l) = 908905*l + 88163784. Determine o(-97).
-1
Let c(z) = z**2 + 66*z - 7565. What is c(-105)?
-3470
Let y(h) = -14*h**3 - 2858*h**2 - 467*h - 12025. Give y(-204).
11
Let f(a) = 4*a**2 - 5049*a + 552350. Calculate f(121).
-15
Let v(b) = b**3 + 356*b**2 - 3942*b + 5921. Determine v(9).
8
Let h(v) = v**3 + 227*v**2 + 612*v - 13627. Calculate h(-224).
-187
Let b(p) = p**3 - 104*p**2 - 10446*p + 1084772. Give b(106).
-32
Let b(t) = -5*t**3 + 87*t**2 - 29*t + 26. What is b(17)?
111
Let n(y) = -163*y**2 + 129*y + 4. Calculate n(1).
-30
Let j(h) = -135*h + 9076. What is j(78)?
-1454
Let m(f) = 19*f**2 + 25*f + 8. Give m(5).
608
Let q(f) = -140542*f - 562272. Determine q(-4).
-104
Let g(n) = 1403*n - 2948. Give g(4).
2664
Let x(o) = -2709*o - 56. Give x(0).
-56
Let i(a) = 7105*a - 127261. Calculate i(18).
629
Let i(j) = 564*j - 130057. Determine i(231).
227
Let k(m) = -2*m**3 + 3*m**2 + 210*m - 58. Give k(11).
-47
Let t(q) = -q**3 + 390*q**2 - 8782*q - 732. Calculate t(366).
0
Let j(b) = -b**2 + 4108*b - 45229. Give j(11).
-162
Let w(o) = 1056*o + 154812. Determine w(-146).
636
Let h(k) = k**3 + 2621*k**2 + 7882*k + 81. What is h(-3)?
-3
Let t(h) = 476*h + 4279. Give t(-9).
-5
Let n(w) = 18*w**3 - 51*w**2 - 118*w + 288. What is n(2)?
-8
Let t(z) = -1701*z + 15177. Calculate t(9).
-132
Let c(d) = -5*d**2 + 6423*d + 19280. What is c(-3)?
-34
Let g(t) = -t**3 - 52*t**2 - 246*t + 1350. What is g(-46)?
-30
Let m(r) = r**3 + 156*r**2 + 5180*r - 422. Give m(-108).
10
Let x(r) = 9413046*r + 141195691. Determine x(-15).
1
Let r(o) = -1864*o + 134225. Determine r(72).
17
Let f(h) = 3789*h + 3607128. Calculate f(-952).
0
Let p(f) = 3*f**3 + 198*f**2 - 411*f + 5. Determine p(-68).
209
Let g(y) = -y**3 - 26*y**2 - 132*y - 3433. Calculate g(-26).
-1
Let q(m) = -385*m**2 - 33*m + 419. Determine q(0).
419
Let k(s) = -919*s - 14575. What is k(-16)?
129
Let z(c) = 45*c**3 + 2971*c**2 + 76*c + 693. Give z(-66).
33
Let d(h) = 42381*h + 127123. Calculate d(-3).
-20
Let f(m) = -20*m**3 - 290*m**2 - 135*m + 5. Determine f(-14).
-65
Let y(u) = 6*u**3 + 26*u**2 + 150*u + 1272. Calculate y(-8).
-1336
Let u(d) = -11411*d**2 - 136934*d - 20. Determine u(-12).
4
Let s(d) = 5*d + 1150. Calculate s(65).
1475
Let v(o) = o**2 - 2901*o - 43717. What is v(-15)?
23
Let g(z) = -z**2 + 357*z - 29978. Calculate g(137).
162
Let c(u) = 50077*u - 450596. Determine c(9).
97
Let k(s) = 84*s + 1233. What is k(-7)?
645
Let u(b) = b**3 - 6*b**2 - 84*b - 5. What is u(-7)?
-54
Let d(j) = -174341*j + 697335. What is d(4)?
-29
Let q(v) = 3608*v + 35140. Give q(-10).
-940
Let l(z) = -z**2 - 281*z + 429609. Calculate l(530).
-221
Let t(g) = 4*g**2 + 1559*g + 33383. Determine t(-367).
-14
Let w(s) = 2*s**3 - 24*s**2 - 122*s + 441. Give w(15).
-39
Let q(x) = 279*x**3 + 8*x**2 - 17*x + 8. Determine q(1).
278
Let y(q) = 7741*q - 61926. Give y(8).
2
Let d(j) = 1984176*j**2 - 19841760*j - 2. Determine d(10).
-2
Let r(v) = -3*v**2 + 160181*v + 1762350. Give r(-11).
-4
Let g(i) = -i**3 + 85*i**2 + 280*i - 578. Give g(88).
830
Let f(h) = 276*h - 900. Calculate f(3).
-72
Let u(b) = b**3 - 30*b**2 + 178*b + 50. Give u(8).
66
Let m(w) = -437134*w - 16173992. Determine m(-37).
-34
Let h(y) = -1845*y - 5114. What is h(-3)?
421
Let i(x) = 27*x + 625. Determine i(-53).
-806
Let j(b) = -b**3 - 163*b**2 - 477*b - 24896. Determine j(-161).
59
Let j(m) = 13872*m + 513331. What is j(-37)?
67
Let c(x) = 15*x**2 + 3194*x - 37195. What is c(-224)?
-11
Let d(t) = -t**3 + 4*t**2 + 22*t + 24. Determine d(-8).
616
Let o(s) = 692*s**2 - 3756*s + 1473. Give o(5).
-7
Let v(c) = 95*c**3 + 945*c**2 - 50*c - 10. What is v(-10)?
-10
Let c(z) = -10*z**2 + 1419*z - 34840. Determine c(32).
328
Let k(p) = -48*p**2 + 22268*p - 133646. Calculate k(6).
-1766
Let b(u) = -2*u**2 + 3723*u + 4362703. Give b(-815).
8
Let i(m) = 11*m**3 + 11*m**2 + 70*m + 35. Calculate i(-4).
-773
Let p(d) = -313*d**2 - 13131*d + 878. What is p(-42)?
248
Let f(m) = -m**3 - 5*m**2 - 7246*m - 14480. Give f(-2).
0
Let t(f) = 23898*f - 23809. Determine t(1).
89
Let u(j) = -19*j**3 + 13718*j**2 + 13734*j + 2179. Determine u(723).
10
Let b(m) = 239*m**2 - 12436*m + 432. Give b(52).
16
Let h(x) = -2*x**3 - 1419*x**2 + 3519*x - 29254. Calculate h(-712).
-62
Let o(n) = -3*n**3 - 99*n**2 - 931*n - 30288. Calculate o(-33).
435
Let z(v) = -49*v**3 - 44*v**2 - 136*v + 41. Calculate z(-3).
1376
Let b(o) = 5*o**2 - 275*o + 31. Determine b(52).
-749
Let w(z) = -1209*z**2 + 21760*z + 44. What is w(18)?
8
Let c(v) = -3*v**3 - 1118*v**2 - 749*v - 1863. Calculate c(-372).
-3
Let t(g) = g**3 - 94*g**2 - 3415*g + 359231. Calculate t(83).
7
Let o(r) = -14*r**2 - 3835*r + 274. What is o(-274)?
0
Let j(t) = -1678*t - 25476. Determine j(-16).
1372
Let y(u) = 2*u**2 - 1386*u + 31819. Give y(23).
999
Let k(a) = a**3 - 5*a**2 - 6273*a + 37573. What is k(6)?
-29
Let u(f) = 8*f**2 + 332*f - 7083. Determine u(19).
2113
Let j(q) = q**3 - 18*q**2 + 2333*q - 18574. Give j(8).
-550
Let m(f) = f**3 + 19*f**2 + 67*f + 3015. What is m(-24)?
-1473
Let v(r) = r**2 + 46*r - 93799. What is v(284)?
-79
Let q(j) = 2*j**3 + 249*j**2 - 358*j + 2839. Give q(-126).
319
Let a(p) = 383*p**2 - 1103*p - 105. What is a(3)?
33
Let r(m) = -m**3 + 22*m**2 - 46*m + 431. Give r(21).
-94
Let r(f) = -6*f**2 + 125*f - 213. Determine r(2).
13
Let u(l) = l**3 + 13*l**2 + l - 88. What is u(-6)?
158
Let f(t) = -4242*t + 772039. Calculate f(182).
-5
Let m(a) = -13334*a + 10027159. Calculate m(752).
-9
Let s(v) = -15*v**2 + 1385*v + 110. Determine s(90).
3260
Let t(x) = 18*x**2 - 1631*x - 4914. Calculate t(-3).
141
Let l(y) = 4539*y + 31740. What is l(-7)?
-33
Let o(i) = 2*i**3 + 661*i**2 - 4385*i - 411. Give o(-337).
937
Let n(g) = g**2 + 2738*g + 113264. Determine n(-42).
32
Let w(l) = 124*l**2 - 3181*l - 18. Give w(26).
1100
Let z(g) = 755*g - 18502. What is z(24)?
-382
Let s(l) = -l**2 - 18191*l + 6791855. Give s(366).
-7
Let z(x) = -7316*x - 65926. Calculate z(-9).
-82
Let g(z) = -186*z - 10951. Determine g(-65).
1139
Let k(y) = -y**3 - y**2 + 345*y - 2253. Give k(7).
-230
Let q(k) = -k**2 - 248*k - 10980. What is q(-192)?
-228
Let c(x) = 3*x**2 + 256*x - 20064. Give c(-135).
51
Let w(f) = -f**2 - 20378*f + 387550. Determine w(19).
7
Let u(q) = 5*q**2 - 6265*q + 50052. Determine u(8).
252
Let u(s) = s**2 + 269*s - 91819. Determine u(197).
-17
Let q(z) = 348*z - 8804. Give q(25).
-104
Let s(i) = 15*i**3 + 9*i**2 + 5*i + 197. What is s(0)?
197
Let f(y) = 432*y - 9281. Give f(19).
-1073
Let h(u) = 348*u - 11174. Give h(23).
-3170
Let j(b) = b**2 - 1344*b + 33982. Calculate j(26).
-286
Let s(o) = 278*o + 726. Give s(-4).
-386
Let h(g) = -7*g**2 + 366*g + 1021. Give h(55).
-24
Let b(r) = -12*r**3 + 8
|
{
"pile_set_name": "DM Mathematics"
}
|
a prime number?
False
Let u(r) be the first derivative of r**5/20 - r**4/12 - r**3/3 + 407*r**2/2 - 2*r - 7. Let w(l) be the first derivative of u(l). Is w(0) prime?
False
Let c be (14 - 7)*(-2)/(-2). Suppose -3*j - 1 = -c. Suppose j*g - 1156 = -2*g. Is g composite?
True
Let j = 66 - 65. Is 25593/19 + j*4 a composite number?
True
Suppose 3*c + 3733 = 4*s + 4*c, -935 = -s - 2*c. Suppose z + 164 - s = 5*g, 3965 = 5*z + 5*g. Is z a prime number?
False
Let x(c) = -3*c - 2. Let i be (-3)/(-1) - (4 - 4). Suppose -i*f - g - 19 = -6*g, -5*g + 11 = -2*f. Is x(f) composite?
True
Suppose -25295 = -2*a - 2*l - 5275, -4*a + l = -40025. Is a a composite number?
False
Suppose -3*n = -c - 2275, -5*c - 3048 = -60*n + 56*n. Is n composite?
False
Suppose 0 = -36*l + 1068943 + 644621. Is l a prime number?
True
Let m(x) = -x**3 - 5. Let c be m(0). Let y be (-42)/2 - (5 + c). Is ((-2 - y)*-3)/(-3) composite?
False
Suppose -2*s + 4*n + 108 = 0, -17 = -2*s - n + 91. Suppose -s*h + 57*h = 669. Is h prime?
True
Suppose -5*a = -d + 2*d + 6, -3*d + 3*a = -18. Suppose d*x - 542 = 1406. Is x a prime number?
True
Let n = 27492 + 4913. Is n a prime number?
False
Suppose -4*i + 14 = 2. Suppose 3*g - 6 = i, -2*z = -2*g - 776. Is z composite?
True
Suppose 2*f = -4*x + f + 13828, -2*f = 0. Is x prime?
True
Let r be -1*(3 - 1) + -69. Let f = r - -577. Suppose t + f = 3*t - 2*h, 0 = -4*t - 5*h + 994. Is t a composite number?
False
Let s = -55 - -56. Is (s/(-1))/(1/(-877)) composite?
False
Let t(b) = -b**3 + 6*b**2 + 8*b. Let z be t(7). Suppose -z*q + 4*q + 603 = 0. Let u = 342 - q. Is u a composite number?
True
Is (-360)/432*(-1 + -237245) a prime number?
False
Let a(v) = 39*v**3 - 9*v**2 + 21*v - 20. Is a(5) a composite number?
True
Let n(w) = 400*w - 9. Let k(x) = -x. Let q(d) = 2*k(d) + n(d). Is q(4) a prime number?
True
Let d(q) = -q**2 - 3*q + 13. Let k be d(4). Is ((10/k)/2)/(2/(-222)) composite?
False
Suppose 2*b + f = 7, -4*f = 5*b - 2*f - 16. Suppose 0 = -b*q + n - 9, -3 = 2*q - 4*n + n. Let x(c) = c**3 + 8*c**2 + 5. Is x(q) prime?
False
Let r(n) = 3*n**3 + 13*n**2 + 5*n - 4. Let t(b) = 2*b**3 + 13*b**2 + 4*b - 5. Let z(k) = 3*r(k) - 4*t(k). Is z(17) prime?
False
Is 2/2*(-109573)/(-19) prime?
False
Let i be -26 - ((-5 - -2) + 4). Let z = 31 + i. Suppose 1558 = 3*n - 3*g + 415, -3*g = -z*n + 1522. Is n composite?
False
Let j(g) = -g**2 - 2*g + 4. Let i be j(4). Let y = i - -48. Let b = 61 + y. Is b composite?
False
Suppose -132 = -2*a + 582. Suppose 0 = 2*x - 3*y - 79 - 154, 3*x = -3*y + a. Is x prime?
False
Let r(z) = 3*z - 4*z + 5 - 3 - 3. Let v be r(-1). Suppose 4*u - 2*u = v, s = -u + 59. Is s composite?
False
Suppose -4*r - j - 3416 = 11703, -2*r - 7549 = -3*j. Let d = r - -5340. Is d a prime number?
False
Let b(g) = 74493*g - 250. Is b(1) a prime number?
False
Let x(g) = 29*g**2 - 9*g + 5. Let j(l) = -28*l**2 + 10*l - 5. Let z(w) = 4*j(w) + 5*x(w). Suppose 64*k - 55*k = 18. Is z(k) a composite number?
False
Suppose -40*q + 5*q + 252490 = 0. Is q a prime number?
False
Let c be (-3)/9 - (-1006)/3. Let u = -39 + 43. Suppose -g = u*g - c. Is g a prime number?
True
Let c(s) = -s**3 + s**2 + 2*s - 1. Let w(f) = -f + 5. Suppose 2*k - 21 = -7. Let h be w(k). Is c(h) a prime number?
True
Let w = 2964 - 1861. Is w a prime number?
True
Let b = 269 + 1000. Suppose -b - 87 = -4*l. Suppose 1660 = 5*v + 5*u, 3*v - l - 667 = -5*u. Is v composite?
True
Let u be (-132)/88*2*-13*2. Let b = 205 - u. Is b composite?
False
Let l = 5978 + 1811. Is l composite?
False
Let k be -2 + (-4 - -6) - (1 - -230). Let j = k - -442. Is j composite?
False
Let l(v) = v - 2 + 4*v**2 + v**3 - 19*v**2 + 7*v**2. Let x be l(8). Suppose -4*s - 4*j + 740 = 0, -3*j + 6 = -x*j. Is s a composite number?
True
Let f = -23 - -17. Let c be -76 + 2 + 8 + f. Let q = -38 - c. Is q composite?
True
Let w = 3165 - 113. Suppose 179*y - 175*y = w. Is y a prime number?
False
Let a(y) = -16*y**3 + 2*y**2 + 3*y + 1. Suppose 3 = 4*n + 3*c, 4*c - 4 = n + 19. Let z be a(n). Let j = z + -179. Is j a composite number?
False
Is ((-25)/50)/(1/(-278)) a composite number?
False
Let m = -95859 - -66858. Is m/(-13) + 24/156 composite?
True
Let r be 2 - (-2)/4*-6. Let q be r/(-6) - 115/(-30). Suppose 5*w - 639 = -q*l, l + 266 = -2*w + 4*w. Is w a prime number?
True
Let u(w) = w + 6. Suppose 4*l - 1 = -17. Let v be u(l). Is (v - (-9)/(-6))*1114 a prime number?
True
Let r = -9 - -6. Let q(v) = -13*v + 9. Let g(j) = 12*j - 10. Let h(x) = r*q(x) - 2*g(x). Is h(6) a composite number?
False
Suppose 3*u - 23 = -8. Suppose -s - 4*w + 1162 = 0, 4*s + u*w = w + 4648. Suppose -2*v + 0*v + s = 0. Is v a prime number?
False
Let r(x) = 1371*x + 26. Is r(9) prime?
False
Let z be 65/10 + (-9)/6. Suppose -z*u - w = -u - 152, 57 = u + 5*w. Is u a composite number?
False
Let k be 2 - (-2 + -1 + -731). Suppose k = 4*w + 2*p, 2*w = -w + 3*p + 552. Suppose -w = v - 565. Is v prime?
False
Let k(m) = -m**2 + 235. Let x be 0/(-3 - -3 - -2). Is k(x) prime?
False
Let r(o) = -o. Let m(f) = -1095*f**2 - 9*f + 1. Let j(h) = -m(h) + 6*r(h). Is j(1) prime?
True
Let l = 1078 - 261. Is l prime?
False
Let s be 3*-1*(-24)/9. Let t(u) = -2*u**2 + 7*u - 14. Let c(f) = -f**2 + 4*f - 7. Let k(x) = -9*c(x) + 4*t(x). Is k(s) composite?
False
Suppose 489661 + 1857765 = 46*n. Is n a prime number?
True
Suppose r + 18 = 2*d, -11 = -3*d - r + 6. Is (686 - d)*(-1)/(-1) composite?
True
Let s = 508 + -410. Let p(l) = 24*l. Let g be p(1). Let i = s - g. Is i prime?
False
Is (5147 - 0)/(-35 - -36) a prime number?
True
Suppose 0*j - 6147 = -3*j + 3*z, 3*j = z + 6155. Is j composite?
False
Suppose 9*z + 286943 = 26*z. Is z a prime number?
True
Let z be (-161)/(-1) - (-6)/(-3). Suppose 0 = 3*u - z - 1464. Is u a prime number?
True
Let i(f) = 8*f**2 + 6*f - 15. Let y be i(-8). Suppose -613 = -6*n + y. Is n composite?
True
Let d = -4 - 0. Let t(f) = -1 - 2 + 3 - 3 - 23*f. Is t(d) prime?
True
Let o = 30 - 22. Suppose 2*k - o = -3*w - w, -2*k + w - 2 = 0. Suppose k = f - 125 - 128. Is f prime?
False
Suppose 890 = 3*g - 106. Let l = 555 - g. Is l a prime number?
True
Suppose -27*l + 15 = -22*l. Suppose 4*v + v + 4*h - 5763 = 0, l*h - 6 = 0. Is v composite?
False
Is 889 + 6/(-12)*0 prime?
False
Let t(j) = 243*j**2 - 8. Let n be t(-3). Let d = n - 1434. Is d a prime number?
False
Let z(n) = -n**3 - 5*n**2 - 9. Let r = -45 + 32. Is z(r) a prime number?
False
Let j be (-4)/10 - 328/5. Let c be -20*(-42)/20*40/(-15). Let m = j - c. Is m a prime number?
False
Is (-3 + 0)*1/((-12)/3068) prime?
False
Let f be 1/((1 + 3/(-4))*1). Let q(w) = 6*w**2 + 5*w - 8. Let h be q(-6). Suppose 98 + h = f*x. Is x prime?
False
Suppose 8352 = 2*a + d, 0*a + 8348 = 2*a + 3*d. Is a a composite number?
False
Let t = 13 - 7. Suppose 4*x - t*k = -5*k + 649, k = -2*x + 329. Let w = x + -70. Is w composite?
True
Suppose 1534 = 4*v - 10054. Is v prime?
True
Suppose -8*g = -3*g - 1280. Let y = -143 + g. Is y prime?
True
Let g(y) = 33 - 4*y - 32 - 8*y. Let v be g(-2). Suppose -5*m + v = 0, u + 2*u - 859 = 4*m. Is u a prime number?
True
Let r(w) = -21*w**2 - 10*w - 3. Let m(z) = 11*z**2 + 5*z + 1. Let v(x) = 9*m(x) + 4*r(x). Is v(4) prime?
True
Suppose -30*y + 883614 = 55224. Is y a prime number?
False
Suppose 0 = 3*j - 2*j - 4*p + 4, 0 = 3*j - 2*p - 18. Suppose 13*d = j*d + 30. Let b(m) = m**3 - 6*m**2 + 2*m - 2. Is b(d) a prime number?
False
Suppose 0 = -5*i + 6*i + 1, 5*d = 3*i + 203048. Is d a prime number?
True
Let h(s) = -s - 1. Let r be h(-4). Suppose p - 7 - 5 = -4*g, 3*p + 9 = r*g. Suppose -2*x + 108 = -u, 221 - 60 = g*x - u. Is x a prime number?
True
Let h(z) = -2*z**3 - 4*z**2 - 2 + 2 - z + 2. Let y be h(-2). Suppose 5*g - 295 = -5*u, -3*g + 68 + 109 = y*u. Is g a prime number?
True
Let m be 1771 + 1 - (1 - -3 - 2). Let x = -761 + m. Is x prime?
True
Is 1/(15/(-9) - (-157352)/94404) a composite number?
False
Let g(p) = 18*p - 3. Let t be g(-7). Let q = 454 - t. Is q a composite number?
True
Suppose -5*k + 3343 = 3*y - 4421, -1560 = -k + 3*y. Let o be (-1 - 0)/((-3)/k). Suppose -b - 2*b - o = -j, 0 = 4*b + 12. Is j prime?
True
Let n be -4*(4 + (-63)/12). Suppose q = -2, 0 = 4*x - 7*x - n*q + 911. Is x prime?
True
Suppose -4*t + 2*a = -102, -t = 9*a - 13*a - 15. Suppose -3*r + 16632 + 49083 = 0. Is r/45 - (-6)/t a pri
|
{
"pile_set_name": "DM Mathematics"
}
|
*f = 4*z + 14, f = 2*z - 12166 + 12170 for f.
2
Solve 1 = -20*a + 17*a - u, 3*a - 1 = -2*u for a.
-1
Solve 8*o = -5*k + 17, o + 2 = -270*k + 268*k for k.
-3
Solve 0 = -2*t + 3*i - 24 + 27, -4*t + 3*i + 9 = 0 for t.
3
Solve -4*t - 3*f - 73 = -35, -192 = 23*t + 4*f for t.
-8
Solve g = 2*t + 7, 0 = 4*g - 3*t - 45 + 17 for g.
7
Solve 1276*n + 25 = 3*l + 1281*n, -5 = -2*l - n for l.
0
Solve -d + 10 = 3*h, -7*d + h + 91 = 109 for d.
-2
Solve -5*t - 309 = 4*y - 307, 7*t = -3*y - 8 for t.
-2
Solve 0 = -4*s + 2*d + 2*d + 28, 4*d - 66 + 54 = -6*s for s.
4
Solve -4*x + l - 7 + 11 = 0, -58 = 5*x + 4*l for x.
-2
Solve 36525*m = 36520*m - 15, n + 5*m = -21 for n.
-6
Solve t + 7*f - 11*f + 22 = 0, 4*t - 2*f + 4 = 0 for t.
2
Solve -a - 3 = 0, 0 = 8*n - 2*a + 3 + 23 for n.
-4
Solve -4*d + 11*q - 28*q = -15*q, 5*q + 36 = -28*d for d.
-2
Solve -2*x - 251 + 255 = -2*m, 0 = 7*x - 2*m - 9 for x.
1
Solve 2*b - 5*t + 12 = 0, -2*b - 3*t + 989 = 1017 for b.
-11
Solve -4*g + 1196*j - 24 = 1200*j, 3*j = -5*g - 40 for g.
-11
Solve 0 = -15*s + c - 61, -5*s + 58*c - 17 = 61*c for s.
-4
Solve 10*z + 798 = -s + 831, 5*s = 3*z + 6 for s.
3
Solve -5*h - 3*q - 58 = 0, 5*q - 22 = -77 for h.
-5
Solve -2*x - 9 = 20936*l - 20939*l, 2*x - 21 = -3*l for l.
5
Solve -2*p = -128*h + 129*h + 4, 6*p = -h - 20 for h.
4
Solve -75*c = 3*l - 153, l - 2*l - 2*l + 7 = 2*c for c.
2
Solve -3*y + 8*y + 2*v = -39, -4*y = 8*v + 44 for y.
-7
Solve 2*y = u + 3512 - 3522, -3*y = 5*u + 2 for u.
2
Solve 3 = 1184*r - 1185*r + f, -f = 2*r + 18 for r.
-7
Solve -4*c - 52 = -4*u, -12*c = -128*u + 129*u - 13 for c.
0
Solve -10*x + 6 = 4*h, -4*h - 2*x - 21 = -3 for h.
-6
Solve 6*f + 33 = -3*x, -32*x + 28*x = 20 for f.
-3
Solve -6*r = -4*r - 5*p - 3, -p + 4 = 5 for r.
-1
Solve 3*u + 2*o + 3 = 9, 4*o = -4*u + 4 for u.
4
Solve -5*v - 2 = x, 89 = -5*v - 5*x + 99 for v.
-1
Solve 63*s - 64*s = -3*n, -4*n + 5*s + 11 = 0 for n.
-1
Solve 0 = 254*f - 257*f + 3*v + 21, 5*f + 5*v = 15 for f.
5
Solve 17*o - 66 = u, 4*o - u - 5 - 9 = 0 for o.
4
Solve -9*k - 34*s + 15 = -11*k - 37*s, 5*s = -35 for k.
3
Solve 9 + 14 = 3*n + i - 6, 16 = -4*i for n.
11
Solve -2*q + 4*n - 13 = -23, q = -2*n + 5 for q.
5
Solve 0 = 9*h + r - 40, 5*h = 76*r - 71*r for h.
4
Solve a - 4*d + 5 = -21*d + 12*d, 7*d - 25 = 5*a for a.
-5
Solve -5*z - 2*v = -27, -54 = -8*z + 5*v - 19 for z.
5
Solve h + 163 = 5*m + 110, -19*h = -4*m + 97 for m.
10
Solve 4*j + 4*w = 2 - 34, -2*j - 3*w = 20 for j.
-4
Solve 0 = 3*o, -f + 14633*o - 5 = 14629*o for f.
-5
Solve 166*r - 170*r + 12 = 4*u, -u - 21 = -3*r for u.
-3
Solve 18*d - 529*r = -525*r + 86, 2*d - r - 9 = 0 for d.
5
Solve -2*a = 3*d - 3, -63 = d - 15*a - 17 for d.
-1
Solve 219*k - 16 = -v + 218*k, -4*v = k - 28 for v.
4
Solve -h = -2*g + 11, 5*h = -15*g + 19*g - 31 for g.
4
Solve 250*v + o = 246*v - 16, 6*o - 19 = -v for v.
-5
Solve -26 = -3*r - 1280*q + 1284*q, -24 = -2*r + 4*q for r.
2
Solve 11 = f - 2*t, -20 = 15*f - 16*f + 5*t for f.
5
Solve 0 = 2*u + p - 9, 5*p - 5 = -48*u + 46*u for u.
5
Solve -5*r + 5*y = -15, -10*r = -5*r - 41*y - 195 for r.
-2
Solve 5*u = -4*y + 101, 126*u + 87 = 130*u - 3*y for u.
21
Solve c + 60*d - 13 = 62*d, -3*c - 21 = 4*d for c.
1
Solve -10*z = 5*t + 90, -137*t = -138*t - 5*z - 51 for t.
4
Solve 3*b + 0*b - 3*v = -7 - 14, -4*v = -32 + 4 for b.
0
Solve -k = -14*t - 24, 5*t + 224*k - 2 = 227*k for t.
-2
Solve 8 + 1 = c - 5*j, 0 = 4*c - 2*j for c.
-1
Solve 4*a - 2693 = l - 2692, 3*l = 4*a - 11 for l.
-5
Solve 3*k = -102*m + 103*m + 1, -2*m + 4*k - 2 = 0 for m.
-1
Solve 2*f + 38*x - 36*x - 4 = 0, 12 = 3*x for f.
-2
Solve 0 = 5*a + 5*t + 79 - 69, -18 = 2*a - 5*t for a.
-4
Solve 5*x - 10 = 5*w, 1170*w + 14 = x + 1173*w for x.
5
Solve 60*x - 62*x - 31*s = 287, -38 = 5*x + 2*s for x.
-4
Solve -4*q + 23 = j, 0 = -4*j + 22 - 10 for q.
5
Solve 3*w - 5 = -f - 13, -2*w + 23 = -5*f for w.
-1
Solve -2*b - 4*w = 24, -w + 9 = -2111*b + 2110*b for b.
-10
Solve -8*m = -3*m + 25, 2*d - 4*m - 18 = 0 for d.
-1
Solve -5*u + 11 = 2*y + 6, y - 5 = 0 for u.
-1
Solve 0 = 17*m - 4*g + 11, -3*g + g - 5 = -7*g + 30 for m.
1
Solve -5*g + 81*o - 15 = 77*o, 12 = -4*g + 5*o for g.
-3
Solve 7*z + 104 = -o, 4*o - 177 = -3*z - 218 for o.
1
Solve -v + 18073 = 2*b + 18042, 0 = -4*v - 4*b + 56 for v.
-3
Solve -2*n - 12 = -4*x, 209 = -4*n - 3*x + 229 for n.
2
Solve 3*k - 4*b - 7971 + 7947 = 0, 30 = -3*k - 5*b for k.
0
Solve 5165*p = 5163*p - 4*o + 8, -5*p + 16 = 6*o for p.
2
Solve -309*g - 2 = -305*g + u, -u = 2*g for g.
-1
Solve -128*r + 125*r = c - 19, 2*r + 24 = 3*c for c.
10
Solve 5*z + 0*w = -2*w - 31, -3*z - 2*w + 119 = 140 for z.
-5
Solve -234*l = -3*r - 230*l + 15, 0 = -5*r - 6*l + 25 for r.
5
Solve 11*r - 2*t = 15*r + 25 - 23, 12*t - 32 = -2*r for r.
-2
Solve -4*z + 143 - 131 = -4*x, -5*x = 3*z - 9 for x.
0
Solve 5*r - 2*x = -17, -9*x + 4*x + 20 = -143*r + 138*r for r.
-3
Solve -3*y - 58 = 4*k - 76, -3*k + 20 = -y for k.
6
Solve -18*l + 5*j = -11*l - 10*l - 14, 2*j + 2 = 0 for l.
-3
Solve 109*k = 106*k + 15, 278 = -2*p + 58*k for p.
6
Solve o = 3*m - 11, -71*m = -2*o - 74*m + 23 for o.
4
Solve 0 = -x - i - 931 + 936, 5*i - 17 = -3*x for x.
4
Solve 3550*n - 2*h = 3555*n + 1, -12*n + 4*h - 9 = 11 for n.
-1
Solve 31*k - 32*k - 10*a = 22, 2*k - 4*a = 4 for k.
-2
Solve -20 = -j + 4*i, -4*j + 47 = 99065*i - 99070*i for j.
8
Solve -1006*y + 1001*y = 2*j - 38, -9*y + 66 = 3*j for y.
6
Solve 2*u + 436*p - 3 = 435*p, 2*u - 8 = -2*p for u.
-1
Solve -2*a = -26 + 22, 208 = -20*f + 4*a for f.
-10
Solve 4*h + 4*u = h + 9, -3*u - 7 = 5*h for h.
-5
Solve 0 = -k + 4, 3*k + 37 = -4*l + 29 for l.
-5
Solve -5*d = 10*s - 11*s + 5*s + 8, 2*d = 2*s - 14 for d.
-4
Solve 417 - 395 = c + b, -b = -3*c + 86 for c.
27
Solve 2*n - 9 = 5*b, -4*n = -10810*b + 10805*b + 7 for n.
-8
Solve 3*l + 36 = 7*a - 12*a, 2*a = -10*l - 32 for a.
-6
Solve -6*g - 10 = -3*g + 4*j, -g = -2*j for g.
-2
Solve -i - 5*t - 16 = 0, -6149*i + 16 = -6147*i - 2*t for i.
4
Solve 44*n + u = 43*n - 6, -5*u - 10 = 0 for n.
-4
Solve 0 = 7*o - 5*m + 76, -270*o + 274*o + 44 = 3*m for o.
-8
Solve 88 - 74 = 2*t + 3*h, -2*t + 2*h + 4 = 0 for t.
4
Solve 3*c = l + 7 + 2, 55*c = 57*c + 8*l - 6 for c.
3
Solve -4*i - 8 = 0, 0 = g - 455*i + 458*i + 13 for g.
-7
Solve -1868*i = -1872*i + 3*c - 32, 0 = 3*i - 2*c + 24 for i.
-8
Solve -10*n + 9*n + 4 = 3*q, -6 = n - 7*q for n.
1
Solve -5*i - 67 = -12*o, 28*o - 32*o + 22 = -2*i for o.
6
Solve 8 = -2*x - 3*p, 4*x = -0*x - 3*p - 10 for x.
-1
Solve 0 = 20*l - 17*l + 3, 5 = b - 4*l for b.
1
Solve -5*x - 24*z = -20*z - 25, 2*x + 5*z = 27 for x.
1
Solve 5*p - 4*a - 36 = 5, p - 25 = 5*a for p.
5
Solve -5*i + 59 = -3*d, 72*d - 53 = -5*i + 73*d for i.
10
Solve 2*w = 379*v - 384*v + 55, 5*w = 4*v - 77 for w.
-5
Solve -3*k - 3 = -0*k, c + 5 = -5*k for c.
0
Solve 2*g + 51*r = -351, -85*r - 81*r - 26 = 3*g - 161*r for g.
3
Solve 20*h = -4*t - 264, -3*h + 37*t = 33*t + 58 for h.
-14
Solve 7*s + 28 = 0, -o - 50 = 4*s - 31 for o.
-3
Solve 4*i - 44 = -5*t, 177538*t - 27 = -3*i + 177535*t for i.
1
Solve 7*l + 3*l - 14*l - 2*p = -16, 5*l + 3*p - 23 = 0 for l.
1
Solve 3*r + 19 = -5239*u + 5240*u, -5*u + 23 = 3*r for u.
7
Solve -729*u + 3*w = -733*u + 33, -10*u - 2*w = 0 for u.
-3
Solve -3*u - 11 = 10*m, -3*m - 9 = 3*u - 12 for m.
-2
Solve -11*c - 3 = -11*a + 9*a, 0 = 4*a + 2*c - 30 for a.
7
Solve 111*o + w - 25 = 113*o, -4*w = -5*o - 58 for o.
-14
Solve -o + 3*n = 7 + 3, -5*n = -15 for o.
-1
Solve -2*c = 2*x - 8, -9*x + 5*x = 16 for c.
8
Solve -517*x + 20 = -513*x - 3*t, -16*x + 52 = -5*t for x.
2
Solve -i - 64 = -y - 63, 3*y + 17 = -2*i for i.
-4
Solve -25398*z - 28 = -2*l - 25402*z, 20 = 4*z for l.
4
Solve -5*z + 51 = -4*f, -3*z + 146*f + 29 = 144*f for z.
7
Solve -4*o = -3*b - 31, 111*o + 19 = 107*o - 7*b for o.
4
Solve -113*a + 114*a - 14 = -4*d, 0 = -2*d - a + 8 for d.
3
Solve 3*o - 4*i + 26 = 0, -5*o - 70*i = -73*i + 25 for o.
-2
Solve -4*w + 8 = -225*y + 229*y, -3*y - 2 = -5*w for y.
1
Solve 6*o + 3*c + 153 = 0, 0 = 539*o - 544*o - 3*c - 129 for o.
-24
Solve 2*z = 4*m, 15*m = 19*m + 2*z + 16 for m.
-2
Solve 20 = f + 2*n, -34*n + 30*n + 44 = 3*f for f.
4
Solve 3*z + 227 = -5*c + 247, -3*c = 3*z - 12 for c.
4
Solve 161 = 3*k - 76*i, -15*i + 20*i + 13 = k for k.
3
Solve -28 = 4*y - 5*o + 9*o, -148 = -20*y + 4*o for y.
5
Solve j + 4 = -6*c - 4*j, 4*c -
|
{
"pile_set_name": "DM Mathematics"
}
|
8934, 454691, 530438?
-5*v**2 + 75812*v - 1
What is the j'th term of 32574, 130248, 293030, 520920, 813918, 1172024, 1595238?
32554*j**2 + 12*j + 8
What is the z'th term of -799093, -1598182, -2397271, -3196360, -3995449, -4794538?
-799089*z - 4
What is the o'th term of -2047401, -2047399, -2047403, -2047413?
-3*o**2 + 11*o - 2047409
What is the l'th term of 6770, 6751, 6946, 7541, 8722, 10675, 13586, 17641?
31*l**3 - 79*l**2 + l + 6817
What is the p'th term of -279790, -279767, -279744, -279721, -279698, -279675?
23*p - 279813
What is the h'th term of 3334466, 6668937, 10003414, 13337897?
3*h**2 + 3334462*h + 1
What is the x'th term of -198438, -198417, -198374, -198303, -198198, -198053?
x**3 + 5*x**2 - x - 198443
What is the n'th term of 850, 3972, 9366, 17032, 26970, 39180, 53662?
1136*n**2 - 286*n
What is the x'th term of 23237, 26465, 29693, 32921, 36149?
3228*x + 20009
What is the a'th term of 2442, 7906, 16334, 27726?
1482*a**2 + 1018*a - 58
What is the s'th term of -378854, -757707, -1136562, -1515419, -1894278, -2273139, -2652002?
-s**2 - 378850*s - 3
What is the u'th term of 46270, 92518, 138760, 184996?
-3*u**2 + 46257*u + 16
What is the m'th term of -13463072, -13463078, -13463084, -13463090, -13463096?
-6*m - 13463066
What is the d'th term of -506055, -504428, -502799, -501168, -499535, -497900, -496263?
d**2 + 1624*d - 507680
What is the r'th term of 85122946, 85122945, 85122944, 85122943, 85122942?
-r + 85122947
What is the y'th term of 631, 4559, 15095, 35545, 69215, 119411?
551*y**3 - 2*y**2 + 77*y + 5
What is the n'th term of 8944, 9380, 9816, 10252, 10688, 11124?
436*n + 8508
What is the j'th term of 157764, 315234, 472704, 630174?
157470*j + 294
What is the u'th term of 11000, 11033, 11106, 11231, 11420, 11685, 12038, 12491?
2*u**3 + 8*u**2 - 5*u + 10995
What is the f'th term of 341413, 682703, 1023753, 1364443, 1704653?
-20*f**3 + 341430*f + 3
What is the o'th term of -4457513, -4457534, -4457555, -4457576?
-21*o - 4457492
What is the p'th term of 110719, 221509, 332299, 443089, 553879, 664669?
110790*p - 71
What is the b'th term of -85808, -88621, -91434, -94247?
-2813*b - 82995
What is the l'th term of -1223, -8004, -19305, -35126, -55467?
-2260*l**2 - l + 1038
What is the m'th term of -2324, -3043, -3696, -4253, -4684, -4959?
5*m**3 + 3*m**2 - 763*m - 1569
What is the a'th term of -3168, -6776, -10352, -13896, -17408, -20888?
16*a**2 - 3656*a + 472
What is the x'th term of 256883031, 256883032, 256883033, 256883034, 256883035, 256883036?
x + 256883030
What is the w'th term of 47330, 94755, 142180?
47425*w - 95
What is the z'th term of 3061844, 3062124, 3062404, 3062684, 3062964, 3063244?
280*z + 3061564
What is the u'th term of 308015, 616022, 924023, 1232012, 1539983?
-u**3 + 3*u**2 + 308005*u + 8
What is the j'th term of 1465, 1440, 1387, 1294, 1149, 940?
-2*j**3 - 2*j**2 - 5*j + 1474
What is the d'th term of -340435, -340700, -340963, -341224, -341483, -341740, -341995?
d**2 - 268*d - 340168
What is the t'th term of -3671, -2698, -1071, 1210, 4145?
327*t**2 - 8*t - 3990
What is the x'th term of 1819, 4932, 10121, 17386, 26727?
1038*x**2 - x + 782
What is the w'th term of -9373, -9227, -9025, -8803, -8597, -8443, -8377?
-6*w**3 + 64*w**2 - 4*w - 9427
What is the x'th term of -393834, -787643, -1181452, -1575261, -1969070, -2362879?
-393809*x - 25
What is the n'th term of 17917, 17894, 17921, 17998, 18125?
25*n**2 - 98*n + 17990
What is the y'th term of 9532, 14173, 18814, 23455, 28096?
4641*y + 4891
What is the u'th term of -2414, -5330, -8246, -11162, -14078, -16994?
-2916*u + 502
What is the z'th term of -6330, -12610, -18894, -25182, -31474, -37770?
-2*z**2 - 6274*z - 54
What is the o'th term of -899525, -899107, -898689, -898271?
418*o - 899943
What is the i'th term of -459041, -918077, -1377113, -1836149, -2295185?
-459036*i - 5
What is the n'th term of 5833364, 11666730, 17500096, 23333462?
5833366*n - 2
What is the g'th term of 195198, 195136, 195068, 194994, 194914, 194828, 194736?
-3*g**2 - 53*g + 195254
What is the r'th term of -349612, -699295, -1048978?
-349683*r + 71
What is the a'th term of 670944, 1341868, 2012792?
670924*a + 20
What is the k'th term of 59, 442, 1107, 2072, 3355, 4974, 6947, 9292?
3*k**3 + 123*k**2 - 7*k - 60
What is the u'th term of 2354, 2141, 1806, 1355, 794, 129, -634, -1489?
u**3 - 67*u**2 - 19*u + 2439
What is the q'th term of -27042, -108059, -243030, -431955?
-26977*q**2 - 86*q + 21
What is the b'th term of -1232, -2032, -2412, -2372, -1912?
210*b**2 - 1430*b - 12
What is the a'th term of -289921, -289923, -289927, -289933, -289941?
-a**2 + a - 289921
What is the c'th term of -48989, -48935, -48865, -48779, -48677, -48559?
8*c**2 + 30*c - 49027
What is the y'th term of 14240, 56760, 127626, 226838, 354396?
14173*y**2 + y + 66
What is the u'th term of -1282, -5798, -14028, -26548, -43934?
-96*u**3 - 1281*u**2 - u + 96
What is the f'th term of 399701, 799433, 1199161, 1598879, 1998581?
-f**3 + 4*f**2 + 399727*f - 29
What is the j'th term of 51495, 103007, 154519, 206031, 257543, 309055?
51512*j - 17
What is the y'th term of -791, -2936, -6443, -11312, -17543?
-681*y**2 - 102*y - 8
What is the k'th term of 6583, 13011, 19403, 25741, 32007, 38183, 44251, 50193?
-3*k**3 + 6449*k + 137
What is the h'th term of 5881, 5686, 5467, 5212, 4909, 4546, 4111?
-2*h**3 - 181*h + 6064
What is the l'th term of -326, -1252, -2184, -3128, -4090?
-l**3 + 3*l**2 - 928*l + 600
What is the l'th term of -26040, -104109, -234140, -416061, -649800, -935285?
12*l**3 - 26053*l**2 + 6*l - 5
What is the b'th term of -1430360, -2861037, -4291714, -5722391?
-1430677*b + 317
What is the p'th term of 156694, 313411, 470128, 626845, 783562, 940279?
156717*p - 23
What is the z'th term of 2386, 4817, 7248, 9679, 12110, 14541?
2431*z - 45
What is the v'th term of 632447, 632442, 632437, 632432?
-5*v + 632452
What is the f'th term of -11244, -12665, -15030, -18339, -22592?
-472*f**2 - 5*f - 10767
What is the i'th term of 646, 2651, 5984, 10645, 16634, 23951, 32596?
664*i**2 + 13*i - 31
What is the c'th term of 336047, 336126, 336197, 336254, 336291, 336302, 336281?
-c**3 + 2*c**2 + 80*c + 335966
What is the j'th term of 2331, 5603, 14491, 31803, 60347, 102931, 162363, 241451?
468*j**3 - 4*j + 1867
What is the d'th term of 809390, 809398, 809406, 809414, 809422, 809430?
8*d + 809382
What is the q'th term of -4835686, -4835701, -4835716, -4835731, -4835746, -4835761?
-15*q - 4835671
What is the w'th term of -39320858, -39320859, -39320860?
-w - 39320857
What is the l'th term of -188688, -377462, -566236, -755010, -943784, -1132558?
-188774*l + 86
What is the l'th term of 5675, 5851, 6027?
176*l + 5499
What is the o'th term of 430286, 431997, 434842, 438815, 443910?
-o**3 + 573*o**2 - o + 429715
What is the u'th term of -44520001, -44520005, -44520009, -44520013, -44520017, -44520021?
-4*u - 44519997
What is the f'th term of 627, 1191, 1701, 2157, 2559, 2907, 3201?
-27*f**2 + 645*f + 9
What is the x'th term of -24042101, -24042114, -24042127, -24042140, -24042153?
-13*x - 24042088
What is the z'th term of 139432, 154493, 169554, 184615, 199676, 214737?
15061*z + 124371
What is the c'th term of 8239, 14935, 21633, 28333, 35035, 41739, 48445?
c**2 + 6693*c + 1545
What is the d'th term of -986043603, -986043602, -986043601, -986043600?
d - 986043604
What is the x'th term of 6103, 5554, 4971, 4336, 3631?
-3*x**3 + x**2 - 531*x + 6636
What is the u'th term of -557, -1390, -2209, -3008, -3781, -4522?
u**3 + u**2 - 843*u + 284
What is the l'th term of 1503169, 1504639, 1506111, 1507585, 1509061?
l**2 + 1467*l + 1501701
What is the b'th term of 7547, 7626, 7739, 7886, 8067, 8282?
17*b**2 + 28*b + 7502
What is the g'th term of 60452, 120879, 181278, 241637, 301944, 362187, 422354?
-2*g**3 - 2*g**2 + 60447*g + 9
What is the m'th term of 3621, 2097, 573?
-1524*m + 5145
What is the l'th term of -21663, -46472, -71281, -96090?
-24809*l + 3146
What is the w'th term of 2792105, 2792090, 2792075, 2792060, 2792045, 2792030?
-15*w + 2792120
What is the r'th term of 10014, 20400, 30786, 41172, 51558, 61944?
10386*r - 372
What is the b'th term of 619410, 1238772, 1858138, 2477508?
2*b**2 + 619356*b + 52
What is the z'th term of 210, 7
|
{
"pile_set_name": "DM Mathematics"
}
|
en 15066 is divided by 71.
14
What is the remainder when 1386 is divided by 125?
11
What is the remainder when 1077 is divided by 511?
55
What is the remainder when 4650 is divided by 65?
35
What is the remainder when 168097 is divided by 828?
13
What is the remainder when 11045 is divided by 44?
1
What is the remainder when 173019 is divided by 1055?
1054
What is the remainder when 29884 is divided by 19?
16
Calculate the remainder when 1003 is divided by 586.
417
Calculate the remainder when 13096 is divided by 2041.
850
Calculate the remainder when 7651 is divided by 1705.
831
What is the remainder when 161594 is divided by 57?
56
Calculate the remainder when 184467 is divided by 1452.
63
What is the remainder when 927275 is divided by 98?
97
Calculate the remainder when 229425 is divided by 76453.
66
Calculate the remainder when 12532 is divided by 2086.
16
Calculate the remainder when 49 is divided by 42.
7
What is the remainder when 751 is divided by 631?
120
Calculate the remainder when 3789 is divided by 44.
5
Calculate the remainder when 244936 is divided by 81639.
19
Calculate the remainder when 23701 is divided by 23667.
34
Calculate the remainder when 50940 is divided by 811.
658
What is the remainder when 3590 is divided by 27?
26
Calculate the remainder when 431927 is divided by 55.
12
What is the remainder when 998685 is divided by 244?
237
Calculate the remainder when 11527 is divided by 5749.
29
What is the remainder when 385212 is divided by 38?
6
Calculate the remainder when 1949 is divided by 444.
173
What is the remainder when 13358 is divided by 2?
0
What is the remainder when 493 is divided by 249?
244
What is the remainder when 4027 is divided by 286?
23
What is the remainder when 2938 is divided by 2896?
42
Calculate the remainder when 502077 is divided by 167357.
6
What is the remainder when 13180 is divided by 163?
140
What is the remainder when 5834 is divided by 26?
10
What is the remainder when 669966 is divided by 5317?
24
What is the remainder when 38626 is divided by 261?
259
What is the remainder when 20966 is divided by 6979?
29
Calculate the remainder when 4840 is divided by 167.
164
Calculate the remainder when 153192 is divided by 11.
6
What is the remainder when 12987 is divided by 111?
0
What is the remainder when 53241 is divided by 48?
9
Calculate the remainder when 46711 is divided by 386.
5
What is the remainder when 52419 is divided by 17458?
45
Calculate the remainder when 6375 is divided by 1243.
160
Calculate the remainder when 234959 is divided by 3.
2
Calculate the remainder when 1443 is divided by 116.
51
What is the remainder when 92689 is divided by 18525?
64
Calculate the remainder when 261560 is divided by 941.
903
What is the remainder when 38056 is divided by 470?
456
What is the remainder when 9421 is divided by 410?
401
Calculate the remainder when 1083 is divided by 43.
8
Calculate the remainder when 53819 is divided by 17936.
11
What is the remainder when 143437 is divided by 28?
21
What is the remainder when 5921 is divided by 844?
13
Calculate the remainder when 5750 is divided by 358.
22
Calculate the remainder when 1233 is divided by 14.
1
Calculate the remainder when 10223 is divided by 35.
3
What is the remainder when 42807 is divided by 37?
35
What is the remainder when 3875 is divided by 969?
968
Calculate the remainder when 79 is divided by 44.
35
Calculate the remainder when 9606 is divided by 1574.
162
Calculate the remainder when 923803 is divided by 2.
1
Calculate the remainder when 274 is divided by 272.
2
Calculate the remainder when 28076 is divided by 186.
176
Calculate the remainder when 133507 is divided by 79.
76
Calculate the remainder when 18965 is divided by 13.
11
Calculate the remainder when 1757 is divided by 474.
335
What is the remainder when 85282 is divided by 42617?
48
What is the remainder when 2440202 is divided by 874?
868
What is the remainder when 7467 is divided by 946?
845
Calculate the remainder when 4402253 is divided by 611.
609
Calculate the remainder when 432388 is divided by 426.
424
What is the remainder when 2925957 is divided by 659?
656
Calculate the remainder when 3196615 is divided by 1658.
1649
What is the remainder when 23667 is divided by 23656?
11
Calculate the remainder when 37679 is divided by 477.
473
What is the remainder when 50943 is divided by 443?
441
Calculate the remainder when 563 is divided by 285.
278
Calculate the remainder when 3501 is divided by 1166.
3
What is the remainder when 782941 is divided by 1611?
1606
What is the remainder when 10330 is divided by 3350?
280
Calculate the remainder when 488251 is divided by 122062.
3
Calculate the remainder when 342279 is divided by 67.
43
Calculate the remainder when 30108 is divided by 14965.
178
Calculate the remainder when 5463 is divided by 610.
583
Calculate the remainder when 5660 is divided by 763.
319
What is the remainder when 1014887 is divided by 56?
55
What is the remainder when 18244 is divided by 442?
122
What is the remainder when 19129 is divided by 9555?
19
Calculate the remainder when 1983 is divided by 101.
64
Calculate the remainder when 580797 is divided by 400.
397
Calculate the remainder when 5136 is divided by 1694.
54
What is the remainder when 9778 is divided by 1932?
118
What is the remainder when 463848 is divided by 10?
8
Calculate the remainder when 5092 is divided by 102.
94
Calculate the remainder when 175 is divided by 29.
1
What is the remainder when 8222 is divided by 68?
62
What is the remainder when 275379 is divided by 562?
561
What is the remainder when 45425 is divided by 295?
290
What is the remainder when 4863 is divided by 4735?
128
Calculate the remainder when 8744 is divided by 39.
8
What is the remainder when 170907 is divided by 263?
220
Calculate the remainder when 36002 is divided by 3593.
72
Calculate the remainder when 2942 is divided by 118.
110
What is the remainder when 2372 is divided by 17?
9
What is the remainder when 11552 is divided by 5775?
2
Calculate the remainder when 17056 is divided by 304.
32
What is the remainder when 110474 is divided by 147?
77
Calculate the remainder when 34114 is divided by 12.
10
What is the remainder when 2181 is divided by 2173?
8
Calculate the remainder when 113110 is divided by 24.
22
Calculate the remainder when 8635 is divided by 1038.
331
What is the remainder when 44675 is divided by 3190?
15
What is the remainder when 401241 is divided by 133743?
12
What is the remainder when 25907 is divided by 158?
153
Calculate the remainder when 6858 is divided by 1670.
178
What is the remainder when 9597 is divided by 795?
57
What is the remainder when 11964 is divided by 1020?
744
What is the remainder when 129334 is divided by 317?
315
Calculate the remainder when 221 is divided by 137.
84
Calculate the remainder when 128017 is divided by 41.
15
What is the remainder when 243 is divided by 93?
57
Calculate the remainder when 31385 is divided by 2241.
11
What is the remainder when 1888 is divided by 1801?
87
What is the remainder when 17916 is divided by 1968?
204
What is the remainder when 35620 is divided by 292?
288
What is the remainder when 1428 is divided by 78?
24
Calculate the remainder when 66757 is divided by 33.
31
What is the remainder when 775 is divided by 59?
8
Calculate the remainder when 15330 is divided by 2027.
1141
What is the remainder when 444904 is divided by 908?
892
What is the remainder when 58262 is divided by 34?
20
Calculate the remainder when 1862 is divided by 44.
14
Calculate the remainder when 784116 is divided by 112015.
11
Calculate the remainder when 51208 is divided by 132.
124
Calculate the remainder when 29572 is divided by 167.
13
Calculate the remainder when 2696 is divided by 299.
5
Calculate the remainder when 88064 is divided by 161.
158
What is the remainder when 167682 is divided by 137?
131
What is the remainder when 101677 is divided by 3631?
9
Calculate the remainder when 127823 is divided by 1131.
20
What is the remainder when 1245 is divided by 543?
159
Calculate the remainder when 1762 is divided by 436.
18
Calculate the remainder when 45733 is divided by 4564.
93
Calculate the remainder when 1869 is divided by 470.
459
Calculate
|
{
"pile_set_name": "DM Mathematics"
}
|
the greatest common factor of 6 and 12.
6
Calculate the greatest common divisor of 4 and 6.
2
Calculate the highest common factor of 1802 and 106.
106
Calculate the highest common factor of 2295 and 510.
255
Calculate the greatest common divisor of 189 and 7.
7
What is the highest common factor of 39 and 195?
39
Calculate the greatest common divisor of 231 and 84.
21
What is the highest common factor of 325 and 351?
13
Calculate the greatest common factor of 26 and 4.
2
What is the greatest common divisor of 29 and 841?
29
What is the greatest common divisor of 4225 and 1859?
169
What is the highest common factor of 28 and 7?
7
Calculate the highest common factor of 21297 and 93.
93
Calculate the highest common divisor of 483 and 231.
21
Calculate the greatest common divisor of 360 and 200.
40
Calculate the greatest common divisor of 123 and 328.
41
Calculate the greatest common divisor of 142 and 497.
71
What is the highest common divisor of 325 and 26?
13
Calculate the highest common divisor of 2 and 64.
2
Calculate the highest common factor of 45 and 24345.
45
What is the greatest common factor of 481 and 703?
37
Calculate the greatest common divisor of 78 and 42.
6
What is the greatest common divisor of 31 and 775?
31
What is the highest common divisor of 408 and 306?
102
What is the highest common factor of 18 and 6714?
18
Calculate the highest common divisor of 966 and 42.
42
Calculate the greatest common divisor of 5748 and 12.
12
Calculate the highest common factor of 44 and 55.
11
Calculate the greatest common factor of 11526 and 226.
226
Calculate the highest common divisor of 6 and 21.
3
What is the greatest common factor of 48987 and 9?
9
Calculate the highest common divisor of 135 and 108.
27
Calculate the greatest common factor of 962 and 286.
26
What is the greatest common divisor of 4 and 96?
4
Calculate the highest common factor of 325 and 13.
13
Calculate the highest common factor of 200 and 120.
40
Calculate the greatest common factor of 22 and 11.
11
Calculate the greatest common divisor of 208 and 12012.
52
What is the highest common divisor of 2 and 16?
2
Calculate the greatest common factor of 15097 and 31.
31
Calculate the greatest common factor of 580 and 1360.
20
Calculate the greatest common factor of 38865 and 15.
15
Calculate the greatest common factor of 11 and 22.
11
What is the greatest common factor of 18094 and 166?
166
What is the greatest common factor of 144 and 16?
16
What is the greatest common divisor of 36410 and 220?
110
What is the greatest common divisor of 962 and 37?
37
What is the greatest common divisor of 152 and 57?
19
What is the highest common divisor of 74 and 2701?
37
Calculate the greatest common divisor of 663 and 377.
13
Calculate the highest common factor of 164 and 902.
82
What is the greatest common divisor of 52 and 26?
26
Calculate the highest common factor of 320 and 10.
10
What is the highest common divisor of 530 and 20?
10
What is the highest common divisor of 824 and 24?
8
What is the highest common factor of 68 and 1?
1
Calculate the highest common factor of 10 and 302.
2
Calculate the highest common divisor of 546 and 156.
78
Calculate the greatest common divisor of 1311 and 69.
69
Calculate the greatest common factor of 1312 and 160.
32
What is the greatest common divisor of 350 and 50?
50
What is the greatest common factor of 393 and 21?
3
Calculate the highest common factor of 196 and 1260.
28
What is the highest common factor of 390 and 6318?
78
What is the highest common factor of 24 and 548?
4
Calculate the highest common factor of 168 and 448.
56
Calculate the highest common divisor of 42 and 966.
42
Calculate the greatest common divisor of 3056 and 16.
16
What is the greatest common divisor of 904 and 72?
8
What is the highest common divisor of 20 and 776?
4
What is the greatest common divisor of 1890 and 675?
135
Calculate the greatest common divisor of 23 and 4.
1
Calculate the highest common factor of 91 and 21.
7
Calculate the highest common factor of 4389 and 77.
77
What is the highest common factor of 1435 and 175?
35
What is the greatest common divisor of 1325 and 1802?
53
Calculate the highest common divisor of 11 and 37279.
11
Calculate the highest common factor of 8980 and 80.
20
What is the highest common divisor of 144 and 1602?
18
Calculate the greatest common factor of 1886 and 246.
82
What is the highest common divisor of 1053 and 13?
13
What is the greatest common factor of 120 and 3352?
8
Calculate the greatest common divisor of 52 and 143.
13
What is the highest common factor of 11 and 781?
11
Calculate the highest common divisor of 99 and 6.
3
Calculate the highest common divisor of 105 and 245.
35
What is the highest common divisor of 999 and 3441?
111
Calculate the greatest common divisor of 47 and 42817.
47
What is the highest common factor of 95 and 57?
19
Calculate the greatest common divisor of 8162 and 70.
14
Calculate the highest common divisor of 99 and 27.
9
Calculate the highest common divisor of 27 and 81.
27
Calculate the greatest common divisor of 46 and 299.
23
Calculate the highest common factor of 98 and 224.
14
Calculate the greatest common divisor of 54 and 8154.
54
Calculate the highest common factor of 20 and 50.
10
What is the highest common divisor of 4752 and 240?
48
Calculate the greatest common divisor of 87 and 464.
29
Calculate the greatest common divisor of 196 and 1274.
98
What is the greatest common divisor of 33 and 132?
33
Calculate the greatest common divisor of 12 and 588.
12
What is the greatest common factor of 310 and 130?
10
Calculate the greatest common divisor of 432 and 64.
16
Calculate the highest common divisor of 108 and 2538.
54
What is the greatest common factor of 1176 and 12789?
147
What is the greatest common factor of 2516 and 544?
68
What is the greatest common divisor of 81 and 387?
9
What is the highest common factor of 549 and 2115?
9
What is the greatest common factor of 38 and 190?
38
Calculate the greatest common divisor of 46 and 989.
23
Calculate the highest common factor of 348 and 14181.
87
What is the greatest common factor of 134 and 32026?
134
What is the highest common divisor of 427 and 1403?
61
Calculate the greatest common factor of 119 and 1904.
119
What is the highest common factor of 8 and 30720?
8
Calculate the greatest common divisor of 106 and 1802.
106
What is the greatest common divisor of 879 and 6?
3
What is the greatest common factor of 7524 and 18?
18
What is the greatest common divisor of 636 and 1590?
318
Calculate the greatest common divisor of 195 and 30.
15
What is the highest common divisor of 1184 and 32?
32
What is the greatest common divisor of 35 and 4298?
7
Calculate the highest common factor of 408 and 60.
12
What is the greatest common divisor of 21 and 483?
21
What is the greatest common divisor of 2455 and 15?
5
What is the highest common divisor of 27 and 3087?
9
What is the greatest common divisor of 580 and 3248?
116
Calculate the greatest common factor of 58 and 2.
2
What is the highest common factor of 600 and 675?
75
What is the greatest common divisor of 60 and 75?
15
What is the highest common factor of 640 and 16?
16
What is the highest common divisor of 186 and 992?
62
Calculate the highest common factor of 3804 and 12.
12
What is the greatest common factor of 1299 and 3?
3
Calculate the greatest common factor of 192 and 672.
96
Calculate the greatest common factor of 210 and 1330.
70
What is the highest common divisor of 133 and 7011?
19
What is the greatest common factor of 640 and 80?
80
Calculate the greatest common factor of 1170 and 36.
18
Calculate the greatest common divisor of 9424 and 304.
304
What is the greatest common divisor of 60 and 525?
15
What is the highest common divisor of 18 and 516?
6
Calculate the greatest common factor of 8284 and 76.
76
Calculate the highest common factor of 35 and 40.
5
Calculate the highest common factor of 125 and 250.
125
What is the highest common divisor of 176 and 44?
44
What is the highest common divisor of 96 and 456?
24
What is the highest common divisor of 3139 and 86?
43
What is the greatest common divisor of 2436 and 336?
84
Calculate the greatest common factor of 7942 and 55.
11
Calcu
|
{
"pile_set_name": "DM Mathematics"
}
|
1)*(87*n - 11*n + 3*n).
-77*n**2
Expand -5*h - h**5 + 5*h + (-h**3 - h**3 + h**3)*(-397 + 9*h**2 + 802 - 401).
-10*h**5 - 4*h**3
Expand 2*u**2 + 0*u**2 + u**2 + (-2*u + 2*u - 2*u)*(u + u - u) + 5*u**2 + 5*u**2 + 2*u**2 - 2*u**2 - u + u.
11*u**2
Expand -3*j**2 + j**2 + j**2 + ((-4*j + 3*j - j)*(2 + 2 - 2) + 2*j - 5*j - 2*j)*(-33 - 9*j - 33 + 65) + 0*j**2 - j**2 - j**2.
78*j**2 + 9*j
Expand 0*u**3 + u**3 - 3*u**3 + (5*u - 2*u - u)*(0*u + 2*u**2 + 0*u) + 0*u**3 + 0*u**3 + 3*u**3 + 0 + 0 + 2*u**3.
7*u**3
Expand ((-3 + 2 - 2)*(-2*m**2 + 5*m**2 - 5*m**2) + 3*m - 2*m**2 - 3*m + (1 - 2 + 8)*(-5*m**2 - m**2 + 0*m**2))*(-11*m - 4*m + 3*m).
456*m**3
Expand (2*c + 0*c - 3*c)*(4*c**2 + 2*c**2 - 7*c**2 + (-c + 15*c + 3*c)*(1 + 0*c - c + 0)).
18*c**3 - 17*c**2
Expand (8326*n + 128*n**2 - 8326*n)*(-3*n + n + 0*n) + 2*n**3 + 2*n - 2*n.
-254*n**3
Expand (k - k - k)*(-k - k - k) - 1 - k**2 + 1 + (-3 + 2 - 2)*(-4*k**2 - 2*k**2 + 3*k**2) + 2 - 2 + 2*k**2.
13*k**2
Expand 0*p**4 + 0*p**4 - p**5 + (4 - 3 - 2)*(-p**5 + 5*p**5 + p**5) + (p**3 - 2*p**3 - 5*p**3)*(-2*p**2 - 13 + 13).
6*p**5
Expand (-g**2 - 2*g**2 + g**2)*(-2 + 0 + 3) + (3*g**2 + 2*g**2 - 6*g**2)*(-2 - 9 + 6) - 4*g**2 + 52*g - 52*g.
-g**2
Expand (-4*r**4 - 3*r**4 + 3*r**4)*((3*r - 2*r + 3*r + (-3 - r + 3)*(-1 + 2 - 2))*(-2 - 3 + 3) + 2 - 2 + 2*r).
32*r**5
Expand (2*r**2 - 3*r**2 + 2*r**2)*(-3*r**2 + r**2 + 3*r**2) - r - 2*r**4 + r + (24 + 29 - 12)*(-3 + 0 + 1)*(11*r**4 - 4*r**4 - 4*r**4).
-247*r**4
Expand (-1 - 2*l**2 + 1)*(723*l - 53602 + 53602) + 0*l**3 - 2*l**3 + 4*l**3.
-1444*l**3
Expand -311*n**2 + 1171*n**2 + 457*n**2 + (-4*n + n + n)*(-4*n - 4*n + 6*n) + 4*n**2 - 2*n**2 - 4*n**2.
1319*n**2
Expand (-13 + 3 + 41)*(-78 - 4*c + 167 - 76).
-124*c + 403
Expand 20*b**2 - 6*b**2 + 60*b**2 + (-2*b - b + 4*b)*(0*b - b - b).
72*b**2
Expand (5*f - f - f)*(7 - 1 + 5)*(5*f - 3*f - f)*(-f - 2*f + f).
-66*f**3
Expand 3*x**5 + 2*x**5 - 3*x**5 + (-6*x**5 + 94 - 94)*(-2 + 2 + 1).
-4*x**5
Expand (-83 + 3*l**2 + 83)*(-12*l + 12*l - 9*l**2).
-27*l**4
Expand (0*u + 0*u - u)*(139 - 5 - 2)*(u**3 + u**3 + 0*u**3).
-264*u**4
Expand (14*z**2 - 2*z**2 - z + 65*z**2)*(-2*z - z + z).
-154*z**3 + 2*z**2
Expand (-7 + 1 + 9)*(-10 - 7*i**2 - 11 + 9*i**2).
6*i**2 - 63
Expand (2*v**2 - 3 + 3)*(-4*v + 4*v - 5*v**2) - 2*v + 2*v + 2*v**4 + (-6 + 6 - 15*v**2)*(-4*v**2 + 2 - 2).
52*v**4
Expand (-15*t - 2*t + 4*t)*(-2*t**2 - t**2 + 7*t**2)*(3 + 1 - 2).
-104*t**3
Expand 10*d**3 + 12 - 12 + 3*d**2 - 2*d**3 - 3*d**2 + (-2*d**2 + 2*d**2 + 2*d**2)*(5*d - 2*d - 5*d) + (-19 - d + 19)*(3*d + 4*d - 5*d)*(d - 2*d - d).
8*d**3
Expand (0*j - 2*j - 2*j)*(3*j**2 - 7*j + 7*j) - 13*j**3 + 6*j - 6*j.
-25*j**3
Expand 136*b**2 - 78*b**2 + 18*b**2 + (b - 3*b + 0*b)*(1 - 1 + b) - 2 + 2 - b**2 + 0*b**2 - 5*b**2 + 4*b**2 + (-4 + 1 + 0)*(2*b**2 + 2*b - 2*b) + b + b**2 - b.
67*b**2
Expand -5*s - 4*s + 5*s + s - 2*s + 2*s + (s + 2*s - 5*s)*(-2 + 2 + 2) - s + 2*s + s + (2 + 8 - 4)*(-3 + 3 + 2*s) + 0*s + 4*s - 2*s.
9*s
Expand (-24*v**2 + 6*v**4 + v**2 - 9*v**2)*(4*v + v - 3*v).
12*v**5 - 64*v**3
Expand (-4 - y**3 + 4)*(-4*y - 2*y + 4*y) - 413*y**4 - 19*y - 53*y + 415*y**4 - y**2.
4*y**4 - y**2 - 72*y
Expand (1 - 1 - 6*k**2)*(113 - 233 + 110)*((-4*k + 4*k - k)*(-2*k - 2 + 2) + 0*k + 0*k - k**2).
60*k**4
Expand i**2 + 3*i**2 + i**2 + (-2*i + 0*i + i)*(-4*i + 3*i + 2*i) + 14 + 6*i**2 - 7*i**2 + 3*i**2.
6*i**2 + 14
Expand (-4 + 19*k + 3 - 12*k)*(-1 - 2 + 6).
21*k - 3
Expand ((2 + 2*h - 2)*(-8*h**2 - 12*h**2 + 7*h**2) + 5*h**3 + 0*h**3 - 3*h**3)*(-2*h**2 - 8*h**2 + 3*h**2 + h).
168*h**5 - 24*h**4
Expand (-d + 2*d + 0*d)*(3*d - 2 + 2)*(-9*d**3 + 9*d**3 - 11*d**3) + (6*d**2 - 4*d**2 + d**2)*(2*d**3 + 0*d**3 - 4*d**3).
-39*d**5
Expand (-2*x - x + 4*x)*(-49*x + 49*x + 12*x**2).
12*x**3
Expand ((-4*r - 2*r + r)*(-1 - 3 + 2) + (2*r - 2 + 2)*(1 - 1 + 2))*(-1 + 3 + 1).
42*r
Expand -80 + 2*d**2 + 80 + (-2*d**2 - 5*d + 5*d)*(-5 + 2 - 1) - d**2 + 5 - 5 - 2 + 2 + 2*d**2 + (2*d + 2*d - 2*d)*(d - 4*d + 5*d).
15*d**2
Expand (-2*q + 0*q + q)*(8 - 4 - 45)*(q + 3*q - 2*q).
82*q**2
Expand (-7*w**2 - w**2 - 3*w**2)*(48*w - 12*w - 14*w).
-242*w**3
Expand (102 - 244 - 498 - 456)*(-d + 0*d + 0*d).
1096*d
Expand (1 - 2582*g**2 - 2*g**3 + 2582*g**2 - g)*(3*g - 2*g**2 - 3*g) + (0 - 1 - 2)*(-3*g**5 + g**5 + 3*g**5).
g**5 + 2*g**3 - 2*g**2
Expand (-2*k**2 + 2*k**2 - 7*k**2)*(-3*k + 0*k + 4*k) + (-4 + 4 - 8*k**3)*(6 - 3 - 4).
k**3
Expand ((1 - 3 + 1)*(-4 + 3 + 2) + 0 + 4 - 3 + (0 + 2 + 0)*(3 + 2 - 4) + 1 + 1 - 1)*(8 - 1 + 3)*(37 - 37 - 48*g).
-1440*g
Expand (3*m + m - 2*m)*(-6*m - m**3 + 6*m) - 1162*m + 1162*m + 47*m**4.
45*m**4
Expand (-49 - 9 + 24)*(-m + 0*m + 0*m) + 1 - 1 - m.
33*m
Expand (2*n**2 - 5*n**2 + n**2 + (2 + 3 - 6)*(n**2 - n**2 + 2*n**2) - n**2 - 4 + 4)*(-n - 5*n + 4*n).
10*n**3
Expand (-16*n**2 + 27*n - 27*n)*(n**2 + 3*n**2 - 5*n**2 - 11*n)*(0*n + 2*n + 0*n).
32*n**5 + 352*n**4
Expand (z + 0*z + z)*(32 - 105 + 156).
166*z
Expand -3*z**2 + 2*z**2 + 3*z**2 - 7*z**2 + 3*z**2 + 3*z**2 + (-2 + 2 + z)*(4*z - 6*z + 0*z) + 89*z**2 + 177 - 177.
88*z**2
Expand -j**2 + 0*j**2 - j**2 + (-5 - 7*j + 5)*(3*j - 4*j - j) - 4*j**2 + 5*j**2 + 2*j**2.
15*j**2
Expand (-3*m + 3*m + 3*m)*(-6*m + 0*m + 4*m)*((2*m + 2 - 2)*(-5 + 3 + 0) - 2*m + 2*m + m + (0 + 0 - m)*(1 - 4 - 2)).
-12*m**3
Expand 4 - 2*q**2 - 4 + (-4*q + 5*q - 4*q)*((4 - 4 + 2)*(1 + 2*q - 1) - 17*q - 24 + 24 + (4*q - 2*q + 0*q)*(0 + 4 + 2)).
q**2
Expand (2*s + 1 - 1)*(26 - 3 + 23)*(1 - 7 + 3).
-276*s
Expand (-44 - 9 - 25)*(-1 + 3 + 0)*(-t + t - 3*t).
468*t
Expand (93*a - a + 37*a)*(a**2 - a**3 + a**2 - a**3)*(-3*a + 6*a - 2*a).
-258*a**5 + 258*a**4
Expand -40*u**3 + 13*u**3 - 14*u**3 + (-u + u + 2*u)*(3*u**2 - u**2 + 0*u**2).
-37*u**3
Expand (-3*i**3 - i**3 + i**3)*(7*i + 19*i - 8*i) - 5*i**4 + i**4 + 5*i**4.
-53*i**4
Expand (-3*a - 3*a + 4*a)*(-4 + 4 - 2*a)*(a**2 - 56*a**2 - 36*a**2).
-364*a**4
Expand (2*b - 8*b + b)*(53 + 57 - 118).
40*b
Expand (-2 + 2 - q)*((3*q - 2*q - 3*q)*(-2 + 4 + 2) - q - 3 + 3 + (-q - 5*q + 4*q)*(1 + 6 - 4))*(-q**2 + 0*q**2 - q**2).
-30*q**4
Expand (0*l**3 + 4*l**3 - 2*l**3)*(94 + 260 + 19).
746*l**3
Expand (5*r**5 - 2*r**5 + 8*r**5)*(-2 + 6 - 3)*(0 - 4 + 12).
88*r**5
Expand (2*g**2 - g**4 - 2*g**2)*(g + 0*g + 0*g) + (0*g**3 + 3*g**3 - 2*g**3)*(-2*g + 0*g - 5*g)*(-47 + 47 - 43*g).
300*g**5
Expand (-11 + y**2 + 2 - 3*y + 10)*(-3 - 5 + 0 + 1 - 2 + 3 + 1 + 5 - 4 - 2 + 2 - 1 + (1 - 4 + 2)*(0 + 3 - 4))*(0*y**2 + 2*y**2 - 3*y**2).
4*y**4 - 12*y**3 + 4*y**2
Expand (-2 - 4 - 3)*(4*p - p - 2*p) - 2 + 2 + 2*p + 90*p + 3*p + 44*p - 13*p.
117*p
Expand -b**2 - 4*b**2 + 3*b**2 + (3*b - 5*b + 9*b)*(2 - 2 + 10*b).
68*b**2
Expand (-d + 0*d - d)*(-d + d + 2*d**3) + 24*d**4 - 54*d**4 + 33*d**4 + (6*d**3 - 2*d**3 + d**3)*(-2*d - 3*d + 6*d).
4*d**4
Expand (-2*q + 0*q + 0*q)*(1 - 4 + 0) - 12 - 5 - 1 - 2*q.
4*q - 18
Expand y + 2*y - y + (4*y + 0*y - 2*y)*(-3 + 2 + 2) - 50*y - y + 5*y.
-42*y
Expand (-1 + n**2 - n**2 - 2*n**2 - n)*(-41*n + 27*n**2 + 41*n + 2*n**2 - n**2 + n**2 + (-2 + 2*n + 2)*(1 - 1 + 2*n)).
-66*n**4 - 33*n**3 - 33*n**2
Expand (-16 - 9*u + 16)*(-u - u + 5*u) - 3*u**2 + 3*u**2 + u**2 + u**2 - u**2 - 2*u**2.
-28*u**2
Expand (472*x + 50 - 289*x - 181*x)*(x**2 - 3*x**2 + 3*x**2).
2*x**3 + 50*x**2
Expand (4*h**3 + h**4 - 4*h**3)*(-h - 3*h + 2*h) - 51*h + h**5 - 101*h**3 + 101*h**3.
-h**5 - 51*h
Expand -4 + s**2 + 4 - 2*s**2 + 0*s**2 + s**2 + (s - 2*s - s)*(-2*s + 2*s + s) - s**2 + 2*s**2 - 5*s**2 - s**2 - 7*s**2 - 4*s**2.
-18*s**2
Expand (-10*n + 37 - 37)*(-11*n - 2*n + 8*n) - 2*n**2 - 1 + 1 + 0*n + 0*n - 2*n**2 + (0*n**2 + 2*n**2 - n**2)*(-2 + 5 - 4).
45*n**2
Expand (27 + 5*v - 27)*(2 - 2 + 2)*(-2 + 2 - v) + 0*v + v**2 + 0*v + (2 + 1 - 2)*(-v**2 + 4*v**2 + 3*v**2).
-3*v**2
Expand (11 + 10 + j + 27 + (4 + 0 - 2)*(0 + j + 0) + j + 0*j + 2*j)*(5 - 2 - 4)*(3 - 3 - 2*j**2).
12*j**3 + 96*j**2
Expand (-219*x**3 + x - 114*x**3 + 186*x**3)*(-4*x + 4*x - 3*x**2).
441*x**5 - 3*x**3
Expand (-2*i + 25 + 7*i - 20*i)*(5*i**3 - 2*i**3 - i**3).
-30*i**4 + 50*i**3
Expand (1 + 1 - 1)*(-48 + 13*d**2 - 11*d**2 + 8).
2*d**2 - 40
Expand -84*l + 23*l + 25 + 73*l + (l + 2*l - 2*l)*(-4 + 0 + 2).
10*l + 25
Expand (-6*g + 2*g - g)*(-11*g**2 + g**2 + 67*g**2) + (-g + 2*g - 3*g + (-4 + 3 - 1)*(4*g - g - 2*g))*(g - 2*g**2 - g).
-277*g**3
Expand (-6 + 2 + 2)
|
{
"pile_set_name": "DM Mathematics"
}
|
tor of 1807302?
False
Is 82 a factor of 13249632?
False
Does 93 divide 274443?
True
Does 37 divide 143686?
False
Is 64 a factor of 7954439?
False
Is 9 a factor of 57794?
False
Is 90879 a multiple of 16?
False
Is 138 a factor of 1451080?
False
Is 47130 a multiple of 25?
False
Does 20 divide 2946965?
False
Is 79 a factor of 142200?
True
Does 5 divide 1210864?
False
Is 16 a factor of 9139751?
False
Is 147 a factor of 1325801?
False
Is 93 a factor of 10269621?
False
Is 2779099 a multiple of 25?
False
Is 280836 a multiple of 6?
True
Does 311 divide 25502?
True
Is 42 a factor of 2520000?
True
Does 14 divide 2251375?
False
Is 379497 a multiple of 28?
False
Is 100518 a multiple of 8?
False
Does 275 divide 3984?
False
Does 76 divide 4466900?
True
Does 5 divide 361300?
True
Is 356571 a multiple of 716?
False
Is 85 a factor of 12070?
True
Is 140 a factor of 57680?
True
Is 255403 a multiple of 283?
False
Is 12036245 a multiple of 13?
True
Does 17 divide 3848188?
True
Does 48 divide 3658687?
False
Does 30 divide 282546?
False
Does 543 divide 1914019?
False
Is 436369 a multiple of 12?
False
Is 436 a factor of 191614?
False
Is 136986 a multiple of 79?
True
Is 4 a factor of 10820?
True
Is 4 a factor of 7762516?
True
Is 9 a factor of 7850785?
False
Is 16 a factor of 709688?
False
Is 125400 a multiple of 5?
True
Is 797573 a multiple of 287?
True
Is 42 a factor of 329154?
True
Is 40 a factor of 286000?
True
Is 29 a factor of 1127781?
True
Is 246 a factor of 3723456?
True
Is 18 a factor of 7510000?
False
Is 41765 a multiple of 27?
False
Is 109050 a multiple of 50?
True
Is 2606380 a multiple of 28?
True
Is 97 a factor of 9603?
True
Does 543 divide 16623945?
True
Is 2675505 a multiple of 147?
False
Is 8 a factor of 171200?
True
Is 7186083 a multiple of 42?
False
Is 2 a factor of 81301?
False
Does 438 divide 4380?
True
Is 2 a factor of 2049?
False
Is 5127463 a multiple of 157?
True
Is 4259250 a multiple of 136?
False
Is 408946 a multiple of 16?
False
Is 304356 a multiple of 401?
False
Is 670320 a multiple of 48?
True
Is 307119 a multiple of 69?
True
Is 17 a factor of 1349385?
False
Does 1619 divide 1007861?
False
Does 659 divide 649774?
True
Is 121 a factor of 10566587?
False
Is 356466 a multiple of 66?
True
Is 718397 a multiple of 779?
False
Is 46420 a multiple of 22?
True
Is 33490 a multiple of 34?
True
Does 10 divide 246312?
False
Is 10 a factor of 38101?
False
Does 80 divide 422800?
True
Does 6 divide 19145?
False
Is 427256 a multiple of 4?
True
Is 160 a factor of 3156468?
False
Is 2 a factor of 256135?
False
Does 160 divide 7813106?
False
Is 6329810 a multiple of 200?
False
Is 367666 a multiple of 110?
False
Is 3189496 a multiple of 947?
True
Is 170 a factor of 93840?
True
Does 28 divide 505851?
False
Is 8507722 a multiple of 86?
True
Is 1414868 a multiple of 28?
True
Does 122 divide 26575443?
False
Is 4 a factor of 49692?
True
Is 55026 a multiple of 24?
False
Is 27923 a multiple of 8?
False
Is 287940 a multiple of 10?
True
Does 42 divide 198114?
True
Does 42 divide 914802?
True
Is 98526 a multiple of 9?
False
Is 28 a factor of 2700992?
True
Is 16 a factor of 430544?
True
Is 4459940 a multiple of 692?
True
Does 16 divide 1093937?
False
Is 62 a factor of 641142?
True
Is 38 a factor of 1127136?
False
Is 24 a factor of 352632?
True
Is 3138800 a multiple of 413?
True
Does 43 divide 257447?
False
Does 30 divide 10318124?
False
Does 275 divide 272525?
True
Does 89 divide 1840893?
False
Does 143 divide 4028917?
False
Is 4374234 a multiple of 998?
True
Is 32936 a multiple of 39?
False
Is 3 a factor of 136567?
False
Does 283 divide 65444?
False
Is 3164080 a multiple of 33?
False
Is 127981 a multiple of 126?
False
Is 33 a factor of 102630?
True
Does 23 divide 5407047?
True
Is 42939 a multiple of 367?
True
Is 80820 a multiple of 5?
True
Does 11 divide 169802?
False
Is 69 a factor of 9789720?
True
Does 768 divide 2126616?
False
Is 22 a factor of 356042?
False
Is 40 a factor of 16501738?
False
Does 21 divide 2817801?
True
Is 102 a factor of 10008161?
False
Is 20 a factor of 1066783?
False
Does 940 divide 124493?
False
Is 552 a factor of 13706657?
False
Is 3940055 a multiple of 7?
True
Is 6 a factor of 588708?
True
Is 2386721 a multiple of 256?
False
Does 218 divide 8133798?
True
Is 458752 a multiple of 84?
False
Is 43511 a multiple of 124?
False
Is 11 a factor of 3008808?
True
Does 55 divide 46426?
False
Is 84 a factor of 7693343?
False
Is 120733 a multiple of 55?
False
Does 20 divide 50116?
False
Is 33 a factor of 101574?
True
Does 13 divide 22087?
True
Is 50 a factor of 53450?
True
Does 75 divide 4612993?
False
Is 304645 a multiple of 145?
True
Does 490 divide 293885?
False
Does 14 divide 231756?
True
Is 22 a factor of 96052?
True
Does 276 divide 460591?
False
Does 10 divide 290731?
False
Does 20 divide 10257?
False
Is 1871433 a multiple of 9?
True
Is 153 a factor of 481797?
True
Is 164660 a multiple of 346?
False
Is 12987 a multiple of 39?
True
Is 332964 a multiple of 12?
True
Is 16 a factor of 2782158?
False
Does 8 divide 577232?
True
Is 116 a factor of 1094091?
False
Does 148 divide 3511744?
True
Is 465298 a multiple of 93?
False
Is 9 a factor of 48076?
False
Is 214 a factor of 15271254?
True
Does 3 divide 19074?
True
Does 4 divide 64998?
False
Is 192 a factor of 503808?
True
Does 34 divide 21794?
True
Does 2 divide 246585?
False
Is 3122821 a multiple of 47?
True
Is 2 a factor of 33740?
True
Does 354 divide 813138?
True
Is 1188005 a multiple of 245?
True
Is 122507 a multiple of 166?
False
Is 68415 a multiple of 8?
False
Is 87 a factor of 4210713?
True
Is 105 a factor of 3136140?
True
Does 124 divide 305226?
False
Is 85589 a multiple of 297?
False
Is 972 a multiple of 2?
True
Is 906391 a multiple of 27?
False
Does 47 divide 5202712?
True
Is 36961 even?
False
Is 92985 a multiple of 15?
True
Is 448 a factor of 12002606?
False
Is 2426600 a multiple of 50?
True
Is 380 a factor of 11400?
True
Is 14 a factor of 10295?
False
Is 23683121 a multiple of 355?
False
Is 1026193 a multiple of 31?
True
Does 131 divide 2683287?
False
Is 37 a factor of 1908682?
True
Is 13 a factor of 1783553?
False
Does 201 divide 1501068?
True
Is 42 a factor of 160775?
False
Is 369610 a multiple of 11?
False
Is 267 a factor of 5883176?
False
Does 12 divide 3403644?
True
Is 24075 a multiple of 265?
False
Does 13 divide 506897?
False
Is 90 a factor of 51390?
True
Is 30 a factor of 2212620?
True
Does 10 divide 3115962?
False
Is 657870 a multiple of 42?
False
Is 74 a factor of 9084980?
True
Is 9 a factor of 14753079?
True
Is 25 a factor of 305709?
False
Is 3567570 a multiple of 26?
False
Is 14 a factor of 18587?
False
Is 25349688 a multiple of 146?
True
Is 50 a factor of 1526670?
False
Is 516388 a multiple of 11?
False
Is 14 a factor of 143691?
False
Is 29 a factor of 4397647?
True
Is 35424 a multiple of 123?
True
Is 2967360 a multiple of 88?
True
Does 14 divide 1226694?
True
Does 15 divide 26259765?
True
Is 138 a factor of 1374204?
True
Is 1172195 a multiple of 51?
False
Is 14083456 a multiple of 188?
True
Is 82 a factor of 701761?
False
Is 9834699 a multiple of 115?
False
Does 466 divide 10096822?
True
Is 2321422 a multiple of 9?
False
Is 10 a factor of 3983620?
True
Does 1094 divide 9004714?
True
Does 22 divide 466312?
True
Is 2140309 a multiple of 1075?
False
Does 92 divide 293572?
True
Is 2581373 a multiple of 62?
False
Is 436362 a multiple of 26?
False
Is 452718 a multiple of 18?
True
Is 2411130 a multiple of 537?
True
Is 359 a factor of 476862?
False
Is 15796678 a multiple of 309?
False
Is 10 a factor of 1954171?
False
Is 1240492 a multiple of 242?
True
Is 1789114 a multiple of 17?
True
Does 7 divide 771694?
True
Does 690 divide 9962220?
True
Does 69 divide 89203?
False
Is 9 a factor of 116195?
False
Is 106 a factor of 151898?
True
Is 705 a factor of 801585?
True
Does 206 divide 321204?
False
Is 233 a factor of 29075?
False
Is 28992 a multiple of 86?
False
Is 32 a factor of 3949?
False
Does 4 divide 3742370?
False
Is 326014 a multiple of 77?
False
Is 386975 a multiple of 115?
True
Is 235045 a multiple of 24?
False
Does 34 divide 982671?
False
Does 40 divide 2222000?
True
Does 40 divide 601383?
False
Is 69 a factor of 3459196?
False
Is 229 a factor of 188901?
False
Is 4 a factor of 139886?
False
|
{
"pile_set_name": "DM Mathematics"
}
|
mhmz. Give prob of picking 1 h and 1 y.
1/190
Two letters picked without replacement from {k: 3, y: 1, t: 3, j: 4}. Give prob of picking 1 t and 1 j.
12/55
Four letters picked without replacement from {a: 1, j: 2, n: 3, b: 5, t: 2, s: 6}. Give prob of picking 1 a, 1 b, 1 j, and 1 s.
5/323
Three letters picked without replacement from hwfgmhghh. What is prob of picking 1 m, 1 w, and 1 h?
1/21
What is prob of picking 1 b, 1 f, and 1 p when three letters picked without replacement from fwwppwwwwwwbfpzwwwp?
8/969
Two letters picked without replacement from sssxesvsssssxsssess. What is prob of picking 1 x and 1 e?
4/171
Two letters picked without replacement from {q: 2, r: 6, x: 2, s: 3, c: 1, n: 6}. Give prob of picking 2 x.
1/190
Four letters picked without replacement from {d: 15, o: 3}. Give prob of picking 2 o and 2 d.
7/68
Three letters picked without replacement from khddhbdbhd. What is prob of picking 2 h and 1 k?
1/40
Calculate prob of picking 2 c, 1 l, and 1 d when four letters picked without replacement from {l: 5, d: 1, p: 8, c: 2}.
1/364
Three letters picked without replacement from ugkkqqs. What is prob of picking 1 s, 1 u, and 1 q?
2/35
Calculate prob of picking 2 c and 1 h when three letters picked without replacement from {g: 2, c: 2, d: 1, h: 1, b: 7, t: 1}.
1/364
Calculate prob of picking 3 g when three letters picked without replacement from ogoggggggggggggogoog.
91/228
Three letters picked without replacement from ttkkctkkkkotlltoklo. What is prob of picking 3 k?
35/969
What is prob of picking 2 r when two letters picked without replacement from {p: 2, x: 1, r: 4}?
2/7
Calculate prob of picking 3 r when three letters picked without replacement from {r: 6, h: 4}.
1/6
Three letters picked without replacement from pbbppbpppqbpppqpbppp. Give prob of picking 1 b, 1 q, and 1 p.
13/114
Three letters picked without replacement from {a: 3, x: 3}. What is prob of picking 1 a and 2 x?
9/20
Calculate prob of picking 1 g, 1 a, and 2 r when four letters picked without replacement from {a: 1, z: 1, x: 3, r: 5, g: 1}.
1/33
Two letters picked without replacement from dddddddjdjd. What is prob of picking 2 j?
1/55
Three letters picked without replacement from eygtwwata. Give prob of picking 1 a, 1 e, and 1 g.
1/42
Calculate prob of picking 1 u and 1 q when two letters picked without replacement from uuuuquuququuqu.
40/91
What is prob of picking 1 o, 1 z, and 1 k when three letters picked without replacement from zzkzzkzzzzzookkz?
1/7
What is prob of picking 1 j and 1 h when two letters picked without replacement from hzjzigz?
1/21
What is prob of picking 3 f and 1 e when four letters picked without replacement from {y: 4, n: 1, e: 3, d: 3, f: 6, l: 2}?
5/323
What is prob of picking 2 b when two letters picked without replacement from ddddbddbddddidbdd?
3/136
Calculate prob of picking 3 z when three letters picked without replacement from {x: 2, z: 7}.
5/12
Two letters picked without replacement from {k: 7, d: 12}. What is prob of picking 1 d and 1 k?
28/57
What is prob of picking 1 q and 1 o when two letters picked without replacement from {r: 1, o: 1, q: 1}?
1/3
Four letters picked without replacement from kkknnnnno. Give prob of picking 3 k and 1 o.
1/126
Two letters picked without replacement from ishisoiixioxhhsi. What is prob of picking 1 o and 1 i?
1/10
Four letters picked without replacement from xxxexxxejjjx. What is prob of picking 1 e and 3 j?
2/495
Three letters picked without replacement from {g: 1, s: 1, y: 2, t: 5, m: 1}. What is prob of picking 1 t, 1 y, and 1 g?
1/12
Calculate prob of picking 1 k and 1 a when two letters picked without replacement from hhhkhaakkhhakhkhk.
9/68
What is prob of picking 2 g when two letters picked without replacement from ajaaqgqqoaavoggoo?
3/136
Two letters picked without replacement from qqqpqkdd. What is prob of picking 1 q and 1 d?
2/7
Two letters picked without replacement from tmutummmimmx. What is prob of picking 1 u and 1 x?
1/33
Calculate prob of picking 2 r when two letters picked without replacement from rskzzkklssorszrks.
3/136
Two letters picked without replacement from gehkhhhhkhhe. Give prob of picking 1 k and 1 h.
7/33
Four letters picked without replacement from {o: 2, z: 2, x: 1}. What is prob of picking 2 z and 2 o?
1/5
What is prob of picking 1 b and 1 v when two letters picked without replacement from {v: 2, s: 1, b: 1, t: 2}?
2/15
What is prob of picking 1 l and 2 k when three letters picked without replacement from mmkkllkmlklk?
2/11
What is prob of picking 1 p and 3 k when four letters picked without replacement from kkxzkkpzfkdzkfdzxdf?
5/969
Calculate prob of picking 2 y when two letters picked without replacement from {j: 1, o: 3, a: 4, y: 6}.
15/91
Two letters picked without replacement from {i: 1, d: 2}. Give prob of picking 1 d and 1 i.
2/3
What is prob of picking 1 d and 1 z when two letters picked without replacement from {r: 1, p: 2, c: 2, z: 1, e: 8, d: 1}?
1/105
Calculate prob of picking 3 u and 1 v when four letters picked without replacement from fuuufvfuvvluvuffutv.
175/3876
What is prob of picking 2 f and 1 d when three letters picked without replacement from ddfddfddd?
1/12
Three letters picked without replacement from caacckiiaai. What is prob of picking 1 i, 1 k, and 1 a?
4/55
What is prob of picking 1 m, 1 w, and 1 i when three letters picked without replacement from {i: 7, m: 3, w: 4}?
3/13
Calculate prob of picking 1 q, 1 u, and 1 m when three letters picked without replacement from qhmquuu.
6/35
Calculate prob of picking 2 u and 1 w when three letters picked without replacement from {u: 2, f: 5, w: 3}.
1/40
What is prob of picking 2 p and 1 a when three letters picked without replacement from {p: 2, a: 6, o: 10}?
1/136
Calculate prob of picking 1 a and 3 q when four letters picked without replacement from {a: 2, q: 4}.
8/15
Two letters picked without replacement from fiiifiiiiiiiiif. What is prob of picking 2 i?
22/35
Three letters picked without replacement from zzppzz. What is prob of picking 2 z and 1 p?
3/5
Calculate prob of picking 1 i and 1 e when two letters picked without replacement from {e: 1, x: 1, h: 1, r: 2, i: 5, b: 3}.
5/78
Three letters picked without replacement from zdskkkzuzmmkdduuz. What is prob of picking 1 s, 1 z, and 1 k?
2/85
Calculate prob of picking 3 v and 1 d when four letters picked without replacement from wvvvwdw.
1/35
What is prob of picking 1 u and 1 c when two letters picked without replacement from {c: 9, s: 5, u: 2}?
3/20
Four letters picked without replacement from {c: 4, e: 6}. Give prob of picking 3 c and 1 e.
4/35
What is prob of picking 1 b and 1 p when two letters picked without replacement from {x: 1, w: 5, p: 2, b: 1}?
1/18
Calculate prob of picking 2 o when two letters picked without replacement from gzoogzggogo.
6/55
Three letters picked without replacement from uuggucj. What is prob of picking 3 u?
1/35
Two letters picked without replacement from {n: 1, b: 1, c: 1, q: 2, z: 1, g: 1}. Give prob of picking 1 b and 1 n.
1/21
Calculate prob of picking 1 y and 1 c when two letters picked without replacement from yebycebeycyebyeybce.
2/19
What is prob of picking 4 k when four letters picked without replacement from mmzkkzkmzkmmzmm?
1/1365
Calculate prob of picking 1 c, 1 v, and 1 j when three letters picked without replacement from vclljjcljljjjcljjcjj.
2/57
What is prob of picking 1 v, 1 g, and 1 x when three letters picked without replacement from xxggxggxvg?
1/6
Three letters picked without replacement from {o: 2, i: 1, h: 2}. What is prob of picking 1 o, 1 h, and 1 i?
2/5
Four letters picked without replacement from {o: 6, y: 6, r: 3, b: 2, t: 3}. Give prob of picking 3 r and 1 o.
2/1615
Calculate prob of picking 1 c, 1 u, and 1 q when three letters picked without replacement from {u: 1, q: 3, w: 1, e: 3, i: 6, c: 1}.
3/455
Two letters picked without replacement from {i: 1, d: 1, r: 1, f: 2, u: 2}. What is prob of picking 1 d and 1 r?
1/21
Three letters picked without replacement from {h: 3, k: 2, p: 9, r: 1, l: 2}. What is prob of picking 2 h and 1 r?
3/680
Two letters picked without replacement from pnsnebn. What is prob of picking 1 p and 1 b?
1/21
What is prob of picking 2 x when two letters picked wit
|
{
"pile_set_name": "DM Mathematics"
}
|
90))).
2*sqrt(11)/5
Simplify 4 + (sqrt(272) - ((0 + sqrt(272) - sqrt(272))**2*-6 - sqrt(272))) - (sqrt(85) - (sqrt(85) + -1*(sqrt(85) - sqrt(85)*-1)))/(sqrt(5) - -6*sqrt(5)*2).
4 + 102*sqrt(17)/13
Simplify 2*(((sqrt(490)*-1 - sqrt(490))/((2*sqrt(6))/sqrt(3) - sqrt(2)))**2 + 3)*-1.
-1966
Simplify 5*(-5 + (sqrt(1053) + (-2*sqrt(1053))**2)*4) + 4.
180*sqrt(13) + 84219
Simplify (1*(sqrt(128) + -1 - sqrt(128)) + -2*(sqrt(128) - (1 + sqrt(128))) + -2*(sqrt(128) + 1) + 0 + sqrt(128) + 5)**2.
-64*sqrt(2) + 144
Simplify 1*(-4*sqrt(495))/(sqrt(891) - sqrt(891)*1 - sqrt(891) - sqrt(891)).
2*sqrt(5)/3
Simplify -4 + ((5 + sqrt(1900) + sqrt(1900)*-3 + sqrt(1900))*1)**2.
-100*sqrt(19) + 1921
Simplify ((1*sqrt(216))/sqrt(12) + sqrt(450) + -2*sqrt(450) + sqrt(450) + sqrt(450))/((sqrt(81)*2)/sqrt(9)*-5).
-3*sqrt(2)/5
Simplify (sqrt(500)/(sqrt(10)*-1)*3)/(sqrt(90)*-1 + -1*sqrt(20)/sqrt(2)).
3*sqrt(5)/4
Simplify (5 + (2*sqrt(171))/sqrt(9) + -5 + ((1 + sqrt(19))*-1 - -6*sqrt(19)*2))**2 + 3.
-26*sqrt(19) + 3215
Simplify ((sqrt(42)/(sqrt(175)*1))/(sqrt(36)/(4*sqrt(192))))**2.
512/25
Simplify (sqrt(17) + 2 + 5 + ((-1 + sqrt(17))*-4 - sqrt(17)))**2 + (sqrt(17) + (sqrt(17) + 0 + sqrt(17))**2*3)*1.
-87*sqrt(17) + 597
Simplify (-2*sqrt(1368)*-4)/((sqrt(2) - (sqrt(32)*-1 - sqrt(2))) + -2*sqrt(98)).
-6*sqrt(19)
Simplify ((-1*-1*sqrt(119) + sqrt(119) + sqrt(119))/sqrt(7))**2 + sqrt(17) + sqrt(51)/sqrt(3)*-4 + 2.
-3*sqrt(17) + 155
Simplify (-5 + (sqrt(125) - 4*(sqrt(125)*-1)**2))*3.
-1515 + 15*sqrt(5)
Simplify ((-4*(sqrt(187)*1 - sqrt(187)) - sqrt(187)) + 5*sqrt(187)*2)/((sqrt(495)/(sqrt(36)/sqrt(4)))/sqrt(5)).
9*sqrt(17)
Simplify -2 + (5 + (-1*sqrt(704) + sqrt(704) - sqrt(704)) + -1)**2*2.
-128*sqrt(11) + 1438
Simplify (sqrt(44) + (sqrt(44)*-2)**2 + sqrt(891) + 2)*1*-2 + -2.
-358 - 22*sqrt(11)
Simplify (4*(sqrt(117) + -1) + sqrt(117)*2*-6 - 2*1*(2 + sqrt(117)))**2.
480*sqrt(13) + 11764
Simplify 1 + -3*3*sqrt(15)/sqrt(5)*-2 + 0.
1 + 18*sqrt(3)
Simplify (-4 + 1*sqrt(117) + sqrt(117) + (1 + sqrt(117))*-5 + sqrt(117) - (2 + sqrt(52)/sqrt(4) - -1*sqrt(1872)))**2.
418*sqrt(13) + 4814
Simplify -5 + -2*sqrt(931)*5 - (((-2*sqrt(2736) - sqrt(2736)) + sqrt(2736))*-3*4)**2.
-1575941 - 70*sqrt(19)
Simplify (-6*(sqrt(17) - -2*sqrt(425) - sqrt(425)*3))**2 + 3.
9795
Simplify (2*(sqrt(11) + -4 + sqrt(11)*-2) - ((sqrt(1584) - 5*-1*sqrt(1584)) + sqrt(1584)))**2.
1376*sqrt(11) + 81420
Simplify (sqrt(1300) + 2*sqrt(1300) - (2 + sqrt(832))**2) + sqrt(39)/(sqrt(27)*-1).
-836 - 7*sqrt(13)/3
Simplify (sqrt(512)/sqrt(4))/(3*sqrt(4)*2).
2*sqrt(2)/3
Simplify (-2*5*-6*sqrt(343) + -5)*1.
-5 + 420*sqrt(7)
Simplify -5*(-1*(4*(sqrt(108)*1 - sqrt(108)) + -4))**2*1.
-80
Simplify 4 + sqrt(55)/(sqrt(539)*1) + (-1 + sqrt(45) - sqrt(55)/(-1*sqrt(11))).
3 + 29*sqrt(5)/7
Simplify (-3 + (-3*sqrt(2299))**2 - -1*(sqrt(2299) + -2))*-6.
-124116 - 66*sqrt(19)
Simplify 2 + (-2*(sqrt(700) + ((sqrt(700) + 4 + sqrt(700))*4 - sqrt(700))) + 4)**2.
8960*sqrt(7) + 179986
Simplify ((sqrt(320) + (-1 + sqrt(320) + 4 - sqrt(320)) - (1 + sqrt(320))*6) + 3)**2.
8000
Simplify ((sqrt(143) + -5*sqrt(143)*-5)/(sqrt(110)/(sqrt(10)*-4)) + 4)**2.
-832*sqrt(13) + 140624
Simplify -2 + (4 + (sqrt(36) + 2*-1*sqrt(36))/(sqrt(8)/sqrt(4)*5))**2.
-24*sqrt(2)/5 + 368/25
Simplify (sqrt(80)/(sqrt(10) + sqrt(10) + -2*sqrt(160))*-3)**2*4.
8
Simplify -1*(4 + -1 + sqrt(19) - (0 + 0 + sqrt(19)) - ((1*sqrt(228))/sqrt(12) + -2)).
-5 + sqrt(19)
Simplify ((2*sqrt(153)*-3 + sqrt(153) + -6*(sqrt(153)*2 + sqrt(153)))/((sqrt(729) - sqrt(729)*2)*-4))**2.
8993/1296
Simplify (sqrt(153) - (sqrt(153) + (-2*(sqrt(153) + sqrt(153)*-2) - sqrt(153))))/sqrt(9) + (-2 + sqrt(1700)*-2)**2 + 0.
79*sqrt(17) + 6804
Simplify (3*(0 + 3 + -1*sqrt(1152)))**2.
-1296*sqrt(2) + 10449
Simplify -3 + -4 + 0 + -4 + (sqrt(363) - (-1 + sqrt(363))**2) + -3.
-378 + 33*sqrt(3)
Simplify 5 + 2*(sqrt(243) + 0) + (4 + 1 + sqrt(243) + sqrt(243))*-5.
-72*sqrt(3) - 20
Simplify 4 + (sqrt(162) + -2 + 0 + -1)**2*-2.
-338 + 108*sqrt(2)
Simplify (6*(-5 + 2*sqrt(882)))**2.
-15120*sqrt(2) + 127908
Simplify ((1*sqrt(143) + sqrt(143) - sqrt(143))*1)/(sqrt(11)*2*-1) + 3.
-sqrt(13)/2 + 3
Simplify (sqrt(136) + (2*sqrt(136)*2 - sqrt(136)) + sqrt(136))/(sqrt(8) - (sqrt(8) + (2*sqrt(288) - sqrt(288) - sqrt(288)) + sqrt(8))).
-5*sqrt(17)
Simplify (sqrt(36)/sqrt(3) - sqrt(9)/(sqrt(3)*-2)) + sqrt(30)/(sqrt(810) + -2*sqrt(810) - sqrt(810)) + 1.
1 + 22*sqrt(3)/9
Simplify 4*(2 + -1 + sqrt(132)/sqrt(44))*-3.
-12*sqrt(3) - 12
Simplify -1*-5*4*(sqrt(28)/sqrt(4))**2 + -3 + -1 + 2*sqrt(252).
12*sqrt(7) + 136
Simplify ((2*(sqrt(3) + sqrt(6)/sqrt(2)) - sqrt(12)*4) + -5 + sqrt(363)*-1)**2.
150*sqrt(3) + 700
Simplify (-2 + ((sqrt(1900) - (sqrt(1900) - (sqrt(1900)*1 + sqrt(1900)))) + -2)*-5 + 5)**2 + -1.
-2600*sqrt(19) + 190168
Simplify 2 + 6*(sqrt(5) + -1)*-5 + (sqrt(20)/(sqrt(196)*-1))**2.
-30*sqrt(5) + 1573/49
Simplify -5*((sqrt(2178)*1)/((2*sqrt(54))/sqrt(9)) + -2).
-55*sqrt(3)/2 + 10
Simplify (-4*sqrt(80)*2 - ((-3 + sqrt(80))*1 - sqrt(80)))*-2.
-6 + 64*sqrt(5)
Simplify 4*(3*(sqrt(832)*-3 - sqrt(832)) + 3)**2*3.
-6912*sqrt(13) + 1437804
Simplify ((sqrt(1176) - -2*sqrt(1176)) + sqrt(1176))/(-1*sqrt(200))*3.
-84*sqrt(3)/5
Simplify (-2*-1*sqrt(209) + sqrt(209)*1*2)/(-3*sqrt(539)*4).
-sqrt(19)/21
Simplify (3 + (sqrt(176) - (1*sqrt(176) + -3))**2 + sqrt(176) + (sqrt(176)*3 + -2 + sqrt(176))**2)*-6.
-16992 + 360*sqrt(11)
Simplify (((sqrt(200) + -1)*-5 - sqrt(200) - -1*(sqrt(200) + sqrt(200) + 1))*6 + 4)**2.
-19200*sqrt(2) + 116800
Simplify 4 + sqrt(2) + -5 + -4 + sqrt(16)/(-2*sqrt(648)).
-5 + 17*sqrt(2)/18
Simplify ((sqrt(102) - -1*sqrt(102)*2 - (sqrt(102) + (sqrt(102) + -2*sqrt(102))*-1))/(-6*-1*sqrt(384)))**2*-4.
-17/576
Simplify 3 + 3 + ((sqrt(6)/(sqrt(2)*-2))**2 - (-5 + sqrt(27)))*-3*6.
-195/2 + 54*sqrt(3)
Simplify ((-1*sqrt(363))**2 + -4 + 5)*2 + -2.
726
Simplify (-5*-1*sqrt(70)*-5)/(sqrt(490)*2 + 2*sqrt(10)*-6).
-25*sqrt(7)/2
Simplify -3*(sqrt(153) + 3 - sqrt(17)) + (-4*(5 + sqrt(272)))**2.
634*sqrt(17) + 4743
Simplify (-1 + (1 + -2 + sqrt(112))**2)*-1.
-112 + 8*sqrt(7)
Simplify (-1*(sqrt(500) + -3))**2 + -2*(sqrt(5) - (sqrt(5) - (sqrt(80)/sqrt(8))/sqrt(2)))**2.
-60*sqrt(5) + 499
Simplify (sqrt(288)*4*5*1)**2*-2.
-230400
Simplify 6*((2 + (sqrt(300) - (-1 + sqrt(300)) - sqrt(300)))**2 - (sqrt(3000)*-2)/sqrt(10)).
-240*sqrt(3) + 1854
Simplify (3*((sqrt(245) + 3)*2 + -4)*-5)**2.
12600*sqrt(5) + 221400
Simplify 1*((-5*(-1 + sqrt(539))*4)**2 + 0).
-5600*sqrt(11) + 216000
Simplify -1 + ((sqrt(17) + 1 + -1)**2 + 1*sqrt(17)*1 - (-3*-2*(-2*sqrt(17) - sqrt(17)))**2).
-5492 + sqrt(17)
Simplify -4 + sqrt(1331) + -5 + -3*sqrt(539).
-10*sqrt(11) - 9
Simplify (5 + 0 + (sqrt(833) + 0)*2 + -4)**2.
28*sqrt(17) + 3333
Simplify (sqrt(132)/sqrt(3)*-6 + -2*sqrt(5324))/(((sqrt(360)*-1)/sqrt(10))/sqrt(9)).
28*sqrt(11)
Simplify (-2*sqrt(1029)*5)/((sqrt(66)/(sqrt(10)/sqrt(5)))/sqrt(11)).
-70*sqrt(7)
Simplify 4 + (sqrt(16)/sqrt(2) + -2)**2 + (-2 + sqrt(128) - sqrt(8)).
-2*sqrt(2) + 14
Simplify 3 + -4 + sqrt(1377)*-1 + (sqrt(1377) - -1*(sqrt(1377) - (sqrt(1377) + 1)))**2.
-27*sqrt(17) + 1377
Simplify (6*((sqrt(440)*2)/sqrt(8) - sqrt(55)))/(sqrt(80)/sqrt(4)*-4).
-3*sqrt(11)/4
Simplify (5*((sqrt(21)/sqrt(3) - sqrt(7)) + -4) + -2 - (5 + (sqrt(700) - (sqrt(700) + -1 + sqrt(700) + sqrt(700)) - sqrt(7)) + sqrt(28)/sqrt(16)))**2.
-1148*sqrt(7) + 14903/4
Simplify ((sqrt(170) - 2*1*sqrt(170))*-5)/(1*(-3*sqrt(490) + sqrt(490))).
-5*sqrt(17)/14
Simplify (sqrt(1100) + -1 + (2*sqrt(77))/sqrt(7))*2 - (-5 + (sqrt(396) - (sqrt(396) - 2*sqrt(396)))**2).
-1581 + 24*sqrt(11)
Simplify (-5*5*sqrt(20)*3)/(((sqrt(16) + sqrt(4))*3 - sqrt(4)) + sqrt(4) + sqrt(192)/sqrt(3)).
-75*sqrt(5)/13
Simplify (((sqrt(605) + sqrt(605) + (sqrt(605) + sqrt(605)*-1)*-4)/sqrt(11))/(sqrt(720) - ((2*sqrt(720) - sqrt(720))*1 + sqrt(720))))**2.
11/36
Simplify (2 + sqrt(176) + 2)**2*-1*-4.
128*sqrt(11) + 768
Simplify -5*(((sqrt(704) - (2 + sqrt(704) + -3)) + 2)*-3 + -1)**2.
-500
Simplify ((sqrt(143) + (sqrt(143) - 1*sqrt(143)*-3) + sqrt(143))*-4)/(sqrt(11) + sqrt(11) + (sqrt(22)/sqrt(2) - sqrt(11))*-6 - sqrt(11) - 1*sqrt(704)).
24*sqrt(13)/7
Simplify (sqrt(605) - (sqrt(605) - 6*(sqrt(605) + 4)))**2 + (sqrt(5) + 4*(1 + sqrt(5))**2 - (-2 + sqrt(125) + sqrt(125) - sqrt(125))).
3172*sqrt(5) + 22382
Si
|
{
"pile_set_name": "DM Mathematics"
}
|
se 11, what is 5 - -1749a61?
1749a66
In base 13, what is -318 - 14533?
-1484b
In base 2, what is -1010010101101110 - 1001001001011100?
-10011011111001010
In base 7, what is 133 + 11454?
11620
In base 12, what is 585744 - -11?
585755
In base 9, what is 0 - -185426?
185426
In base 3, what is -1 - 1012112102220101?
-1012112102220102
In base 9, what is 64 - -347?
422
In base 8, what is 3 + 31213343?
31213346
In base 8, what is -440 - -3641566?
3641126
In base 8, what is 1 + -4354731?
-4354730
In base 15, what is 92e - -9c?
9cb
In base 5, what is -1103 - 200311402?
-200313010
In base 2, what is 1100010000101 - -1001001101?
1101011010010
In base 13, what is 5b98 - -55b?
6426
In base 10, what is -2938870 + 248?
-2938622
In base 9, what is -48 - -2753642?
2753583
In base 3, what is 12 + 202001211011?
202001211100
In base 7, what is -41064334 + -12?
-41064346
In base 7, what is 342563565 + 6?
342563604
In base 15, what is -a6e + 3356?
27d7
In base 15, what is 35b9 - -1a62?
512b
In base 16, what is f4122 + -5?
f411d
In base 3, what is -1110 + -20120200000?
-20120201110
In base 16, what is 15807 - -194?
1599b
In base 13, what is 4 + 73279c?
7327a3
In base 13, what is 17 + 6123b?
61255
In base 4, what is 33 + 11110031032?
11110031131
In base 11, what is -aa951372 - 3?
-aa951375
In base 2, what is 1001000001011111110100010100 + 1000?
1001000001011111110100011100
In base 16, what is -1ef - 19120?
-1930f
In base 7, what is 206 + 13134302?
13134511
In base 11, what is 37194 - -53?
37237
In base 8, what is 254515 + 6355?
263072
In base 15, what is 13791 - 111?
13680
In base 5, what is -10 + 3221014410?
3221014400
In base 3, what is -100210202 - -21012221?
-2120211
In base 4, what is -1322111003013 + 11?
-1322111003002
In base 4, what is -11121101032 + 232?
-11121100200
In base 4, what is -12 + -23123300123202?
-23123300123220
In base 4, what is -31320 + 1313102?
1221122
In base 15, what is -7da434e - 1?
-7da4350
In base 15, what is -5d85 + 20d?
-5b77
In base 6, what is -4432 - -14545?
10113
In base 11, what is -5 + 3168526a?
31685265
In base 6, what is -142 - -1444305?
1444123
In base 14, what is -49c61b5 + 1?
-49c61b4
In base 6, what is 1140454151 - -5?
1140454200
In base 13, what is -3 - -424763?
424760
In base 4, what is -1031303133223 + 332?
-1031303132231
In base 2, what is 0 - -10000000000100110100001?
10000000000100110100001
In base 8, what is -6600663655 + -4?
-6600663661
In base 3, what is 200012 + 21001122022?
21002022111
In base 10, what is -1952 - 714?
-2666
In base 11, what is -115846a + -6?
-1158475
In base 10, what is -1645504 + 583?
-1644921
In base 4, what is 330 - 30121233030?
-30121232100
In base 11, what is -46 - 145175?
-145210
In base 15, what is -d - -1508d?
15080
In base 10, what is -34160 + -43?
-34203
In base 7, what is 261541 + -364?
261144
In base 7, what is 402 - 56040?
-55335
In base 5, what is 342304 - 3014?
334240
In base 7, what is -33 - -40243?
40210
In base 14, what is 13 + 8bd38a?
8bd39d
In base 6, what is -15231345415 - -4?
-15231345411
In base 7, what is -111 - -25516510?
25516366
In base 8, what is -12313472 + 103?
-12313367
In base 5, what is 344332104340 - -2?
344332104342
In base 6, what is -454452304 + 4?
-454452300
In base 7, what is -220003661 - -2?
-220003656
In base 13, what is -117b1a + -3c?
-117b59
In base 13, what is 0 + 9853349?
9853349
In base 8, what is -1 - -63074443?
63074442
In base 6, what is -104113 - 25541?
-134054
In base 12, what is -a - 313791?
-31379b
In base 14, what is -1bc + b708b5?
b706d7
In base 5, what is -1121 - -20411402?
20410231
In base 16, what is 29 + 7492b?
74954
In base 15, what is -76c + -1430?
-1b9c
In base 11, what is -a2 - -1545a2?
154500
In base 10, what is -163 + 10454?
10291
In base 2, what is 10000000001011000100 - -1111011001?
10000000011010011101
In base 7, what is -251563 + 36106?
-212454
In base 5, what is 44 + 21033?
21132
In base 10, what is -4 - 111634?
-111638
In base 9, what is 3 + -33375164?
-33375161
In base 2, what is -111010110011010 - -1001011110010?
-110001010101000
In base 16, what is -9f22 - 156?
-a078
In base 15, what is 8 + -2b39a80?
-2b39a77
In base 16, what is 717d - 3a?
7143
In base 3, what is 11212000222 - 21220200?
11120010022
In base 10, what is 1907552 - 3?
1907549
In base 16, what is d + -2f6a0?
-2f693
In base 12, what is 147b9 - -236?
14a33
In base 9, what is 40 - -22550071?
22550121
In base 9, what is -3 + 747235787?
747235784
In base 10, what is 4 - 628319?
-628315
In base 2, what is -1101010110000100001000010 - -1000?
-1101010110000100000111010
In base 5, what is 2200444 - -1224?
2202223
In base 13, what is -121 - -58b722?
58b601
In base 11, what is 2 - 108a47?
-108a45
In base 7, what is -305 + 3443115?
3442510
In base 9, what is -103848635 + -1?
-103848636
In base 9, what is 33 + -12046015?
-12045872
In base 6, what is 15321131251 + 5?
15321131300
In base 4, what is -2100310303232 - 10?
-2100310303302
In base 8, what is -62 + -2115573?
-2115655
In base 16, what is -257 + a75?
81e
In base 11, what is -6166 + -925?
-6a90
In base 7, what is -162353 + -453?
-163136
In base 9, what is -2 - 56254266?
-56254268
In base 3, what is 1 + -1210221221101111?
-1210221221101110
In base 8, what is 0 + 213676623?
213676623
In base 11, what is 3 - -437a22?
437a25
In base 12, what is -91723 + -2b4?
-91a17
In base 9, what is -1255 + -7452?
-8717
In base 14, what is -55346b + -c?
-553479
In base 7, what is 1 + 532404454?
532404455
In base 10, what is -8 - -293396?
293388
In base 11, what is -231 + -495602?
-495833
In base 5, what is -11331310323 - 3?
-11331310331
In base 11, what is -288376 - 76?
-288441
In base 12, what is 3 - -310440?
310443
In base 3, what is -102222020010122 - -110?
-102222020010012
In base 8, what is -107027626 + 2?
-107027624
In base 10, what is 5 - 11298575?
-11298570
In base 4, what is 221 + -1110323320?
-1110323033
In base 3, what is 10210010200101 + 22?
10210010200200
In base 15, what is 6089cb3 - -4?
6089cb7
In base 15, what is 6c + -c334?
-c2b7
In base 10, what is -1 + -2664461?
-2664462
In base 12, what is -2232 + 7345?
5113
In base 12, what is -2a373 - -60?
-2a313
In base 15, what is 1110 + -139b8?
-128a8
In base 8, what is 27006341 - 11?
27006330
In base 14, what is 1c75960 + -5?
1c75959
In base 11, what is 147697 - -131?
147818
In base 2, what is 110101111011001 - 1111111111001100?
-1001001111110011
In base 15, what is 71 + 3ece9d?
3ed01e
In base 7, what is -1 - -5055223?
5055222
In base 13, what is 3a7b7c49 - 0?
3a7b7c49
In base 2, what is -1000110 - 1001010000001010?
-1001010001010000
In base 6, what is -501234 - -44103?
-413131
In base 14, what is 21b8 - -bc?
2296
In base 16, what is 44 - 224a36?
-2249f2
In base 6, what is 4400 + 2001540?
2010340
In base 16, what is 1e + -1144ab4?
-1144a96
In base 15, what is bb5 - -1973d?
1a403
In base 16, what is -b - 3d6503?
-3d650e
In base 9, what is 4 - -238658405?
238658410
In base 16, what is -131c5e + b?
-131c53
In base 11, what is 47 + -147356?
-14730a
In base 15, what is 1c2c55 - -230?
1c2e85
In base 16, what is -52b4c + -14?
-52b60
In base 9, what is 38422786 - 4?
38422782
In base 4, what is -112121303122 - 3?
-112121303131
In base 6, what is -1254033 + 3051?
-1250542
In base 14, what is -3d12 + -10b?
-401d
In base 13, what is -5 + -c5017c?
-c50184
In base 11, what is 33920 - 133?
33798
In base 8, what is -155 - 2245261?
-2245436
In base 7, what is -35331 + -221443?
-260104
In base 8, what is -2502517117 - 5?
-2502517124
In base 14, what is -4 + 3b10a4?
3b10a0
In base 13, what is -1b842a + 36?
-1b83c4
In base 2, what is -1000100110100011010111 - -10001?
-1000100110100011000110
In base 15, what is 1830cbdb + 1?
1830cbdc
In base 7, what is -4526544430 - 3?
-4526544433
In base 13, what is -122 - -4872ab?
487189
In base 12, what is -4 + 8199184?
8199180
In base 10, what is 13415401 - -31?
13415432
In base 11, what is 22077 + 9939?
30a05
In base 15, what is -3 - -1e7ad05?
1e7ad02
In base 7, what is -116223565 + 16?
-116223546
In base 16, what is -2b - -5c59f?
5c574
In base 16, what is 3 + -f5a8d3?
-f5a8d0
In base 12, what is -37 - 41a82?
-41ab9
In base 13, what is b062 + 2691?
10723
In base 10, what is 809 + 298836?
299645
In base 7, what is -115523 - -14230?
-101263
In base 15, what is
|
{
"pile_set_name": "DM Mathematics"
}
|
the common denominator of 3/(-2) - -2 - 37/5 and 78/(-2)*(209/(-946))/19.
430
Suppose -2*a = 3*a - 5*h + 20, -3*a - h = -8. Let j be 5/(a/(6/1767)). Let g = j - -23879/15903. What is the common denominator of -11/9 and g?
27
Let r(k) = 13*k - 93. Let b be 5 - (1 - (1 + 0)). Suppose 5*w = 3*z + 36, 14 = b*w - 4*z - 24. What is the lowest common multiple of r(9) and w?
24
Suppose 2*u - 62 = 8*n, -185341*u + 185346*u = -4*n + 59. Let f be (-4)/(-3)*(-294)/(-4). Let s = -68 + f. Calculate the smallest common multiple of u and s.
30
Let f = 39143 - 39113. Suppose 4*l - 72 = 96. Calculate the smallest common multiple of f and l.
210
Suppose 17*o - 56097 - 106948 = -30513. Calculate the smallest common multiple of 44 and o.
85756
Suppose 173*q - 169*q = 5*p + 837, 4*q = 4*p + 840. What is the smallest common multiple of q and 213?
213
Let d(b) = 2*b**2 - 18*b - 3. Let o be d(9). Calculate the common denominator of (-2)/72*o*605/(-10) and -93/32.
96
Let u = -3088/7 - -55451/126. Let c be 9/3 + 7561/(-13) + 4. Let x = -22381/39 - c. Find the common denominator of u and x.
234
Suppose 7*p - 13 = 8. Let g be 92/28 - p - 133751/56. Let o = g - -2397. What is the common denominator of o and 23/52?
104
Let h = -85218 - -12782521/150. Let r = 2146/3 - 695. Find the common denominator of h and r.
150
Let f = -66 + 72. What is the lowest common multiple of ((-150)/125)/(f/(-20)) and 32?
32
Suppose 0 = 4*q - 5*h - 51, 5*q + 4*h - 18 = 56. Let z(w) = 4*w**2 + 15*w + 18. Calculate the least common multiple of q and z(-3).
126
Suppose 703*j - 721*j + 4832 = -7264. Calculate the least common multiple of 84 and j.
672
Let w be (-4)/((-39989880)/(-99195859)) - 4/(-18). Let y = w + -2/15869. Find the common denominator of y and -16/17.
170
Suppose -6*b = 6 + 6. Find the common denominator of -89/22 and 1660/(-330) + b/(-12).
22
Suppose -15*p + 11 = 11. What is the common denominator of 618/120*2 + p and 56/15?
30
Suppose 4*v - 40 = 2*v. Calculate the lowest common multiple of (9 - 3)*800/75 and v.
320
Suppose 0 = -5*g - 3 - 2, 0 = -5*v - 2*g - 362. Let k = 1468 + -1459. Calculate the least common multiple of k and (1/(-2))/(3/v).
36
Find the common denominator of (446/(-540) - 190/2565)*37/231 and 81/154.
770
Let q be ((-162)/92)/(33/(-88)). Let n = q + -1533/253. What is the common denominator of n and 87/2?
22
Let w be 51154575/(-1850) + 1 + 7. Let y = w + 27644. Calculate the common denominator of y and -57/8.
296
What is the common denominator of 163/30 and (((-122)/(-15))/2)/((-28)/(-10)) + 0?
210
Let f(t) = -13*t**2 - 16*t - 10. Let k be f(-7). Let u be 12/(-18) + k/3 - -3. Calculate the common denominator of (341/u)/((-1)/(-3)) and 67/8.
16
Let x(u) be the first derivative of -8*u + 1/3*u**3 + 26 - 3/2*u**2. What is the lowest common multiple of x(-4) and 6?
60
Let g = 464 + -456. Calculate the common denominator of -44/5 and g/(-10) + 4960/700.
35
Let r = -568 + -329. Let m = -1724 - r. Let z = m - -1729/2. Find the common denominator of z and 7/4.
4
Let d be (-2)/(2 - 215/105). Let n = -26 + d. What is the common denominator of 95/8 and (396/(-162))/(n/6)?
24
Let h(c) = 11*c**3 - 7*c**2 - 4*c + 38. What is the lowest common multiple of 189 and h(5)?
10962
Let n = -4595/6 + 57268/75. What is the common denominator of 18/95 and n?
950
Suppose -18*y - 10045 = 23*y. Let c = 289 + y. Calculate the lowest common multiple of 428/18 - (-4)/18 and c.
264
Find the common denominator of (2/35)/(((-1320)/1274)/(-3)) and -59/70.
3850
Suppose -12 = -4*z + 28. What is the least common multiple of z and (-3 - -1)/(11/(-440))?
80
Suppose 86*d = 64087 + 11077. What is the lowest common multiple of d and 14?
6118
Let d = -133883/930 + 4470/31. Calculate the common denominator of 2/(((-36)/113)/(-1)) and d.
90
Suppose 2*s = 2*l + 146, 0 = -3*l + s + s - 216. Let f = -6880 + 61889/9. What is the common denominator of 61/l*25/(-10) and f?
252
Let a = -34 - -35. Let f = -2866 - -2868. What is the lowest common multiple of f and a?
2
Suppose -5*o = -80*g + 78*g - 8, -2*o - 16 = -4*g. What is the least common multiple of g and 14?
42
Suppose 16*a = 3*a + 14183. Let h = a - 36055/33. Calculate the common denominator of 79/78 and h.
858
Let t(c) = -220*c + 149. Let l be t(-3). Suppose -l*i - 5712 = -816*i. Calculate the lowest common multiple of 4 and i.
816
Suppose 0 = 105*i - 112*i - 609. Let z = i - -93. What is the lowest common multiple of 120 and z?
120
What is the common denominator of 6 - 14/(-189)*16623/(-210) and 17/630?
630
Let x(o) = -o**2 - 18*o + 18. Let m be 4/14 - -5*1089/(-315). Calculate the least common multiple of x(m) and -2 - ((-56)/6 + (-6)/9).
280
Let c = -1/6391 + -594359/25564. Find the common denominator of c and 19/766.
1532
Suppose 25*d - 179 = 223 - 152. Let p(b) = b + 162. What is the smallest common multiple of p(0) and d?
810
Let g be (-9 + (-4440)/16)*4/(-6). Let h = 201 - g. Calculate the smallest common multiple of h and 40.
40
Suppose -3*j = -6 - 0. Let o be 3*12606/180 + 2/(-20). Let g = o - 204. What is the least common multiple of g and j?
6
Find the common denominator of 1825/(-1460) + (-4506)/(-3880) and -1/679.
3395
Let l be (-2 - -6)/(39/8 + -5). What is the common denominator of (-855)/660*(2 - l/(-6)) and 87/10?
110
Suppose -3*j + m = -0*m - 885, 5*j = 3*m + 1479. Suppose 18 + 2 = r - 2*i, -4 = 4*i. What is the smallest common multiple of r and j?
882
Let y = -696 + 1991. What is the smallest common multiple of 185 and y?
1295
Suppose -5*l = -2*l - 75. Let z = -16308 - -16310. Calculate the lowest common multiple of z and l.
50
Let q = 286 - 493/2. Let s = 119/3 - q. Find the common denominator of s and (2/(-5))/((-2)/7).
30
Let d = -11571007/570 + 20300. Calculate the common denominator of -89/30 and d.
570
Let q(g) = -357*g**2 + 3*g + 4. Let h be q(-2). Let v = h + 2769/2. Find the common denominator of v and 109/20.
20
Let p be 4/(-3) - (-20)/60. What is the common denominator of p/(3/(-696)*-12) and 139/6?
6
Suppose -2*m + 9 = 3. Suppose 1206 = m*f - 0*f. What is the common denominator of 107/22 and f/(-9)*3/(-20)?
110
Suppose 4*j + 5*n + 5 = 6*j, -2*j + 4*n = 0. Let s be 1*((-296)/36 + j/(-45)). What is the smallest common multiple of (-30)/(-4) - ((-133)/(-14) + s) and 78?
78
Let p = 39/58 + -293/522. Calculate the common denominator of p and 1/2 + (-25)/45.
18
Let h = -2478 - -34773/14. Calculate the common denominator of h and -4 + (-238)/(-63) - 3/((-19656)/1132).
182
Let x(w) = 1316*w - 859*w + 2545*w - 19. Let r be x(3). Let u = r - 161813/18. What is the common denominator of u and 93/10?
90
Suppose 0 = -4*f - 2*o - 4, 4*o = 5*f + 3*o - 9. Let j = f + 5. Suppose 19*z = 13*z + 54. Calculate the least common multiple of j and z.
18
Let p be 1/1 + 64/8. Calculate the smallest common multiple of 22*-1*p/(-6) and 66.
66
Let w(l) = 21*l - 42. Let o be w(-18). Find the common denominator of 25/12 and (-10)/(700/(-30)) - (-2014)/o.
60
Suppose -26 = -22*s - 4. Calculate the common denominator of -83/40 and s/4 - (-21 + 5).
40
Let s(r) = -r**2 + 6*r - 1. Let b be s(5). Let w = b - 2. Let c = -17906 + 17917. Calculate the lowest common multiple of w and c.
22
Let j = -33 + 175. Let t = 1279 + -1283. Find the common denominator of (t + j/10)/((-12)/(-15)) and -29/34.
68
Let x = -247821/2860 - -2245/26. Find the common denominator of x and 25/1056.
5280
Let j = 6455 + -987607/153. Let d = 10267/306 - j. Calculate the common denominator of d and 103/46.
46
Suppose 2519*u - 40*u + 2618*u - 40776 = 0. Let g(i) = -27*i**3 + i**2 - i - 1. Let z be 1 + (2 - 2) - 2. What is the least common multiple of g(z) and u?
56
Let v be 10/(-2)*-8*(-5)/40. Find the common denominator of 61/40 and 3/(2400/(-3290)) + 1/v.
80
Let y(q) = q**2 + 6*q - 15. Let k be y(-8). Let i = 56791/10 + -5690. Calculate the common denominator of (k - (-133)/(-63))*(-8)/(-5) and i.
90
Let u(p) = 3*p**2 + 18*p + 10 - 4*p**2 + 11. Calculate the lowest common multiple of u(15) and 18.
198
What is the common denominator of (-6873)/4582 - (6/16)/(2/(-116)) and -49/36?
36
Let f be 76760/(-1085) + 33/7 + -5. Let o = f + 314203/4402. Find the common denominator of o and 109/26.
1846
Let h = 94 - 35. Let c = h - -58. What is the common denominator of ((-10)/12)/((-12)/c) and -87/32
|
{
"pile_set_name": "DM Mathematics"
}
|
*z
Expand (-1 - 5 + 0)*((1 + a - 1)*(1 - 1 - 2) + 3*a + 1 - 1).
-6*a
Expand (2 + 2 + 3*j - 5)*(4 + 4*j - 5 - 3).
12*j**2 - 16*j + 4
Expand (-5*p**3 + 4*p**3 - p**3)*(-p**2 + 3634*p - 147 - 3634*p).
2*p**5 + 294*p**3
Expand (2*s + s - s)*(-3*s**2 - 3*s**2 + 4*s**2) - 5*s**3 + 3*s**3 + 0*s**3 + (-s**2 - 2*s**2 + s**2)*(-3*s + 3*s + s).
-8*s**3
Expand (2 - 1 - 3)*(-12*l + 64*l**2 - 63*l**2 - 48*l) + 3 - 3 + l**2.
-l**2 + 120*l
Expand (-48 - 5 + 10)*(0*w**3 + 2*w - 4*w + w**3).
-43*w**3 + 86*w
Expand (3 - 5 + 1)*(-1 - 1 - 2)*(433*s - 191*s - 196*s).
184*s
Expand (6*m**2 - 4*m**2 + 2 - 3)*(5*m**2 - 2*m**2 - m**2)*(-17 + 17 + 81*m).
324*m**5 - 162*m**3
Expand (-30*x + 21 - 24 + 6*x)*(0*x - 4*x + 3*x).
24*x**2 + 3*x
Expand (0*o**4 + 3*o**4 + 7*o**4)*(5 - 1 - 1)*(3 - 1 + 0).
60*o**4
Expand (5 - 2059*i**2 + 2060*i**2 - 2*i + i)*(4 - 4 - 2*i).
-2*i**3 + 2*i**2 - 10*i
Expand (-4 + 0 + 2)*(1 + 0 - 3)*((2 + a - 2)*(-3*a + a - 2*a) - 2*a**2 - a**2 - 2*a**2 - 1 + 1 + 2*a**2).
-28*a**2
Expand 191*f**2 + 70*f**2 + 18*f**2 + 2*f**2 + 2*f - 2*f + (-1 + 1 - 2*f)*(6*f - f - 3*f) + 4*f**2 + f**2 - 4*f**2 + 3*f + 2*f**2 - 3*f.
280*f**2
Expand 17*c + 3*c**5 - 5*c + 10*c + (-1 - c**4 + 1)*(3*c + c - 2*c).
c**5 + 22*c
Expand (-4*f**2 + f**2 + 2*f**2)*(0*f**2 + f**3 + 0*f**2) - 13*f**2 + 6*f**2 - f**5 + 5*f**2 - 2*f.
-2*f**5 - 2*f**2 - 2*f
Expand (6*y**3 - 4*y**3 + 0*y**3)*(3 - 30*y - 3)*(y - y - 3*y)*(3 - 3 + 2) + 0*y**5 + y**5 + 0*y**5 + y**4 - y**4 - 2*y**5.
359*y**5
Expand (0 - 2 + 1)*(-199*h - 900*h**3 + 93*h + 106*h).
900*h**3
Expand (-2 - 3 + 2)*(-6*p + 2*p - 8*p + (0 + 2 - 4)*(-3*p + 3*p - p) - 3*p + 3*p + p) + 9*p - 7*p + 7*p.
36*p
Expand 1055 - 1055 + 145*l + (-2 - 2 + 2)*(2*l + 1 - 1) - 4*l + 5*l - 2*l + (-3 + 0 + 1)*(-l - l + 3*l).
138*l
Expand ((0*d**2 + 0*d**2 - d**2)*(5 - 4 + 0) + 2 - 2 - 2*d**2)*(-1 - 3 + 5)*(10*d**2 + 3*d - 37*d**2 - 10*d**2).
111*d**4 - 9*d**3
Expand (5 - 3 - 1)*(-2 + 2 + 3*a)*(383*a**2 + 389*a**2 + 4*a - 808*a**2).
-108*a**3 + 12*a**2
Expand (6 + 3*y - 6)*(-3*y**2 + 95*y - 2 - 50*y - 47*y).
-9*y**3 - 6*y**2 - 6*y
Expand (0*z + 3*z - 4*z)*(0*z**3 - 2*z**3 + 3*z**3) - 3*z**4 + 479*z**3 - 39*z**2 - 479*z**3.
-4*z**4 - 39*z**2
Expand (8 - 304 - 254)*(-2*w**2 + 0*w**2 + 4*w**2).
-1100*w**2
Expand (-6*g + g + 2*g)*(-1 + 2 - 2)*(28 + 8 - 7).
87*g
Expand -3*j - j + 2*j + (-2*j - 4*j + 5*j)*(1 + 1 - 1) + j - 3*j + 0*j + 3*j - 2*j - 2*j + j - 17*j + 4*j + (-4 + 3 + 3)*(-j + 0 + 0)*(2 - 3 + 0).
-16*j
Expand (-4*h + 17 - 17)*(18*h**3 + 4*h**2 - 4*h**2).
-72*h**4
Expand (4*b + b - 4*b)*(b**3 + b**3 - b**3) + 6*b - 8*b**4 - 6*b + (6*b - b - 4*b)*(9 - 5*b**3 - 9 + (-1 + 1 + 1)*(-2*b**3 + 4*b**3 - 4*b**3)).
-14*b**4
Expand (-11 + 11 - 18*r**2)*(3*r + 0*r - 5*r - 1 + 1 - r + (-2*r - 3 + 3)*(-1 + 5 - 3) - 4 + r + 4 + r - 2 + 2).
54*r**3
Expand (0 + 3*o + 0)*(-157 + 69 + 43) + 2*o + 5 - 5 + 3*o + 2*o - 3*o + (o - 3*o + 4*o)*(3 - 1 + 0) - 2*o + 0*o + 3*o - o - 4*o + 3*o.
-128*o
Expand (-3 + 3 + 3)*(2*l**2 - l**2 + l**2) + (2*l + 4*l - 4*l)*(1 + 2 - 4)*(-38*l - 2744 + 2744).
82*l**2
Expand ((-5 + 2 + 2)*(-3 + 4 + 1) - 1 + 0 + 0)*(-a**2 + 34703 - 60*a**5 - 34703).
180*a**5 + 3*a**2
Expand -285*k - 245*k - 182*k + 183*k + (1 - 2*k - 1)*(3 + 1 - 3).
-531*k
Expand (-2 - 2 + 6 + (2 - 6 + 3)*(-5 + 0 + 6))*(267*h**3 - 3*h**4 - 2*h**4 - 228*h**3).
-5*h**4 + 39*h**3
Expand (4*d - d - 4*d)*(-4*d**3 + 3*d**3 - d**3) - 2*d**4 - d**4 + 2*d**4 + 82969*d**4 + d**3 - d**3 - 84093*d**4.
-1123*d**4
Expand (u - 1 + 1)*(-103 - 41 + 40) - 2*u + 1 - 1.
-106*u
Expand (-v + v + v**3 + (v - 2*v + 0*v)*(-2*v + 2*v + 2*v**2) + v**3 + v**3 + 0*v**3)*(v**2 + 0*v**2 - 4*v**2) + 0*v**5 + 5*v - 10*v - v**5.
-4*v**5 - 5*v
Expand (-3*w**2 + 0*w**2 + 2*w**2 + (2*w - 2*w - 19*w)*(-3*w - 1 + 1) - 4*w**2 + w**2 + w**2)*(4*w**3 - 8*w**3 + 5*w**3).
54*w**5
Expand (-37*d + 15*d - 9*d)*(d**3 + 3*d**3 - 6*d**3).
62*d**4
Expand (-2 + 2 - 4*n)*(1 - 2 + 0) - 8*n + 70*n - 26*n.
40*n
Expand (-2*l**2 + 0*l**2 + 5 - 2)*(-20 - 49 - 43).
224*l**2 - 336
Expand (-t**3 - 2*t**3 + 0*t**3)*(-5 + 1 + 2) - 3*t**3 - 20*t**3 - 7*t**3.
-24*t**3
Expand (3*a - 3*a**2 - 3*a)*(13*a**2 - 4*a**2 - 10*a**2 + 35).
3*a**4 - 105*a**2
Expand (4*k - 5*k - 3*k)*(-3 + 5 - 3)*(3*k + 0 + 0) - 14*k**2 - 74*k + 74*k.
-2*k**2
Expand 3*u - 2*u - 4*u + (8*u - u - 2*u)*(0 + 0 + 2) + (2*u + 4 - 4)*(-20 + 9 + 36 + (0 + 0 - 2)*(-5 + 2 + 4) - 3 - 3 + 5).
51*u
Expand (-4*k**2 - k + k)*(-46*k + 46*k + 12*k**2)*(-1 + 1 + k + (-1 - 3 + 6)*(0*k + 3*k - k) + k - 2*k - k - 3*k + 0*k + k).
-48*k**5
Expand (-8 - 1 - 11)*(2*j**3 + 0 + 0) - j**3 + 0*j**3 - j**3.
-42*j**3
Expand -3 + 3 - y + (-6*y + 2*y + 3*y)*(1 + 1 + 0) - 6*y + 2*y + 3*y.
-4*y
Expand 2*u**3 + 1 + 6 - 8 + 3*u**3 + 6*u**3 - 4*u**3 + (0*u + 0*u + u**2)*(-5 + 2*u + 5).
9*u**3 - 1
Expand (g + 0*g + g)*(-109*g + 1813 - 1813)*(7 - 2 - 4).
-218*g**2
Expand 2*z**3 - 3*z**2 - z**3 + 2*z**2 - 18*z + 7*z**3 + 18*z + (-2 + 2 - 2)*(-2*z**3 + z**3 - z**3) - 3*z**3 + 0*z**3 + 5*z**3 + 3*z**3 + z**3 - z**3.
17*z**3 - z**2
Expand ((0 - 2 + 0)*(-4*b - 19*b + 6*b) + (-3 - 1 + 6)*(-1 + b + 1))*(2*b - 7*b + 3*b)*(-3 + 2 + 0)*(b - b - b**3).
-72*b**5
Expand (-1 + 1 - s - 8)*((2 - 3 + 3)*(1 + 1 + 0) + 6 - 5 - 2 - 2 + 0 + 0)*(23 + 9 - 7 - 1 + 1 + 2 + (1 + 2 - 1)*(-1 + 1 - 1)).
-25*s - 200
Expand ((2 - 2 - 1)*(3 - 13 + 3) - 3 - 5 - 3 + 2 + 1 - 2)*(-38 + 38 - 7*o).
21*o
Expand (0*t + 5*t - 4*t)*(-141*t + 6 - 9 + 3).
-141*t**2
Expand 3*o**4 + 0*o**4 + 0*o**4 + 0*o**4 - 5*o**4 + 4*o**4 + (-2*o**3 - o**4 + 2*o**3)*(-1 + 4 - 2) + 1 - 1 - 2*o**4 + 14 - 14 - 2*o**4 - o**4 + o**4 + o**4.
-2*o**4
Expand (4*o + 2 - 3 - 3*o)*(-201*o**2 + 201*o**2 - 52*o**3).
-52*o**4 + 52*o**3
Expand (-57*s**2 - 67*s**2 + 70*s**2)*(1 - 1 + s) - s**3 + 0*s + 0*s.
-55*s**3
Expand (u - 2*u - u)*(0 + 1 - 6)*(1 + 2*u**2 - 1 + (3*u - 5*u - 9*u)*(u - u + 2*u)).
-200*u**3
Expand (5*b**4 + 405*b**4 - 5*b**4)*(2*b - b - 3*b).
-810*b**5
Expand (150*w + 1988 - 1988)*(3*w**2 - 3*w**2 + 2*w**3).
300*w**4
Expand ((6*v - v - 3*v)*(-4 + 5 + 0) - 28*v - 2*v - 7*v)*(2 - 1 - 2).
35*v
Expand (-3*h + 18 - 18)*(h + 3*h - 3*h) + (21 - 11*h**2 - 21)*(5 + 0 + 1).
-69*h**2
Expand 2*u + u + 7*u + u + u - 3*u + u - 3*u + 3*u + (-5 + 5 - u)*(0 + 0 - 1) - 1 + 2*u + 1 + (-3 + 1 + 0)*(2 + 2*u - 2).
9*u
Expand 3*u**2 - 2*u + 2*u + u - u + u**2 - 2*u + 2*u - u**2 + (2 + 2 - 2)*(0*u**2 + 4*u**2 - 2*u**2) + 4*u**2 - u**2 - 2*u**2 - 22 + 20 + 4 + 2*u + u**2.
9*u**2 + 2*u + 2
Expand (2*t**2 + t - 1 - 10 + 5)*(-6*t**3 + 2*t**3 + 3*t**3).
-2*t**5 - t**4 + 6*t**3
Expand (2 - 5*w**2 - 2)*(2*w - 3*w + 0*w) - 4*w**3 - 43*w**3 - 18*w**3.
-60*w**3
Expand (-5*h + 3*h + 0*h)*(0 - h**3 + 0) + h**4 + 2*h**4 - 4*h**4 - h**4 + 2*h**4 - 12*h**3 + 0*h**2 - 2*h**2.
2*h**4 - 12*h**3 - 2*h**2
Expand (-2*a**4 + 3*a**4 + a**4)*(-4 + 6 + 31).
66*a**4
Expand 3*f**2 - 3*f**2 + 2*f**2 + 2*f - 2*f**2 - 2*f + (0 + 0 + f)*(-f - 2 + 2) - 3 - 28 + 4 + 2*f**2.
f**2 - 27
Expand (w - w + w**2)*(-1 - 5 + 1)*(2*w - 4 + 4) + 4*w**3 + 6*w**2 - 6*w**2 + (-3 + w + 3)*(-w - w**2 + w).
-7*w**3
Expand (-4*r**2 - 10*r**2 - 7*r**2)*((-2*r**2 + 3 - 3)*(-3 - 1 + 2) + 0*r**2 - r**2 + 4*r**2).
-147*r**4
Expand (1 - 2 + 0)*(-48 + 1 + 1)*(8*x - 2*x - 3*x).
138*x
Expand (-2*t + 0*t + t)*(-20959*t + 20959*t - 244*t**3) - 3*t**2 + 3*t**2 - t**4 + (0*t**2 + 0*t**2 + 2*t**3)*(-3 + 3 - 2*t).
239*t**4
Expand (4*n**4 - 4*n**4 + 2*n**4)*(-3*n + 2*n + 2*n) - 8*n**5 - 7*n**2 + 2*n**2 - 10*n**3 + 6*n**2.
-6*n**5 - 10*n**3 + n**2
Expand (-13*f**4 + 14*f**4 + 2 + 33*f**3 - 48*f**3)*(-3*f - 3*f - f).
-7*f**5 + 105*f**4 - 14*f
Expand (0 + 0 + 2*g)*(-10 + 33 + 2)*(g**2 - g**2 - 3*g**2).
-150*g**3
Expand (-7*n**2 + 7*n**2 - 2*n**2)*(7 - 80 - 3)*(0*n + 2*n - 3*n).
-152*n**3
Expand (-2*g**3 - 2*g**3 + g**3)*(-2 + 53*g**2 - 45*g**2 + g + g) + (0*g**3 - g**3 - g**3)*(g**2 + g**2 - 4*g**2) - g**2 + g**2 + g**5.
-19*g**5 - 6*g**4 + 6*g**3
Expand (5*k**2 + k**2 - k**2)*(-615 + 21*k + 615).
105*k**3
Expand (-1 - i + 1)*(13*i + 0*i + 10*i - 365 - 20*i).
-3*i**2 + 365*i
Expand (-1 + 0 - 2 + (-5 + 2 + 6)*(-5 + 4 + 3) - 2 + 4 - 1 + (2 + 0 + 0)*(6 + 1 - 5))*(7*t - 15*t + 2*t).
-48*t
Expand (4*a**2 - 2*a**2 - a**2)*(2 - 3 + 2) - 5*a - 2*a**2 + 5*a - 3508 + 3508 + 142*a**2.
141*a**2
Expand (1126 + 1700 - 603)*(5*q**5 + q**5 - 4*q**5).
4446*q**5
Expand
|
{
"pile_set_name": "DM Mathematics"
}
|
. Suppose 8*k - 3*k = 3*t - w, k - 3*t + 11 = 0. Which is the closest to f? (a) 2/3 (b) k (c) -0.2
c
Let m = -0.1 - 0. Let f = -86629 - -86630. Which is the closest to f? (a) m (b) -4 (c) 3
a
Suppose 13*p = -19*p - 6*p + 38. Let m = -0.06 - 4.94. Which is the nearest to -1/5? (a) m (b) -0.4 (c) -1/2 (d) p
b
Let z = 209 + 1091. Let y = z + -1299.9. Let l be 2/(-12)*(0 + 1). Which is the closest to y? (a) l (b) -0.3 (c) -5
a
Let v = -313/9 - -3461/99. Let m = -1 - 4. What is the nearest to -0.1 in 0.3, m, v?
v
Let x = 6215 - 6215.01. Which is the nearest to 0.1? (a) -4 (b) 1 (c) x (d) -5
c
Let v = -0.5 - -3.5. Let o = 56035 + -56036. What is the closest to o in 0.1, 4, v?
0.1
Let a = -17.21 - -18.21. What is the nearest to 1/5 in a, 0.3, -6, -0.5?
0.3
Let r be (90/(-8))/(14/56*-6). What is the closest to r in -0.2, 1/3, 6/17, 3?
3
Suppose -3*r = 4*f - 1, 816 - 788 = 2*f - 4*r. What is the nearest to 148 in 0.2, f, 0.04?
f
Suppose -4 + 2 = -w. Let n = 4 + -9. Let x = -222.861 + 222.761. Which is the closest to x? (a) w (b) n (c) 0.01
c
Let j = -261 + -65. Let z = j - -332. What is the closest to z in 1, 0.5, -4, -0.5?
1
Suppose 223*d - 183*d + 145 = 1185. Which is the nearest to -0.16? (a) 0.5 (b) -1 (c) d
a
Let i = -686.4 + 685.9. Which is the nearest to 0? (a) 1/4 (b) 336 (c) -3/5 (d) i
a
Let u = -86 - -89. Let o = 0.1011 - 0.0511. Which is the closest to 1? (a) o (b) 5 (c) u
a
Suppose 36*m + 1452 - 41 = 53*m. What is the nearest to -2/5 in m, -0.6, -2/5?
-2/5
Let i be 744/92 - ((20 - 5) + -7). What is the closest to 3/5 in 0.3, -2/3, i?
0.3
Let t = 1161.18 + -1200. Let o = t + 39. Let u = o - -0.02. What is the nearest to 0.1 in u, -0.5, -2?
u
Let g = -35.89 + 32.89. What is the nearest to 0 in -3/5, 1/12, 0.2, g?
1/12
Let l = -146 - -146.36. Let z = -4.64 - l. Let v = -6.5 - z. What is the nearest to -0.1 in v, 3, 2/11?
2/11
Let n = 3.063 - 6.063. Which is the closest to 2? (a) n (b) -2/7 (c) -0.5 (d) -5
b
Let m(b) = b**2 + 11*b - 25. Suppose -f + 52 = -5*f. Let u be m(f). Let v be 2*-2 + (-22)/(-4) + -1. What is the nearest to u in -5, v, 5?
v
Let k = 137 + -130.87. Let u = k - 10.13. Let o = -0.2 - -0.3. What is the nearest to o in u, 4, 2/17?
2/17
Let l be (-63 + -2 + 3)/((-3)/6). Suppose l - 130 = -6*g. What is the nearest to g in -9, 5, 1/5, 1?
1
Let j be (3 - 50/20)/2. What is the closest to -5 in 2/7, 3/5, j?
j
Let k = -30.43 - 0.07. Let s = -30.4 - k. Which is the nearest to 2/7? (a) s (b) 6 (c) -1
a
Let s = 360 - 363. Let f be 1817/(-1242) + s/(-2). What is the nearest to 0 in f, -2/5, 3?
f
Let w = -4.4 + 3.1. Let v = 52 + -56. What is the closest to v in -2/13, -3, w?
-3
Let i = -16.9 - -18.64. Let k = 1.74 - i. Which is the nearest to k? (a) 1 (b) -0.2 (c) -0.23
b
Let h = -57900 + 57873.973. Let j = h - -26. Let z = j - 0.073. Which is the closest to 1/14? (a) z (b) 1 (c) -2/11
a
Let f = 4.82 + 0.18. Let l be 70/945*(-18)/12. Which is the nearest to 1? (a) 3 (b) l (c) f
b
Let t = -136 + 136.032. Let d = t - 0.132. Which is the closest to d? (a) 5.4 (b) -1 (c) 3
b
Let v = 22 + -9. Let m be -2*(-1 + (-10)/(-9)). Let z = -2.3923 + 2.2923. Which is the nearest to z? (a) v (b) -1 (c) m
c
Let x = -135 + 40. Let t = -101 - x. Which is the nearest to t? (a) 2/3 (b) 3 (c) 2
a
Let a = -15638 - -15643.6. What is the nearest to 0.1 in 0.4, 0, 1/6, a?
1/6
Let f = 673.93 + -674. Let x = 8/5 + -27/20. What is the closest to -1 in f, x, 2/15?
f
Let z = 99.14 - 98.74. Which is the closest to 0.5? (a) 0.3 (b) -16 (c) 5 (d) z
d
Let o = 4266 + -4270. Which is the closest to 0.2? (a) 113 (b) -2 (c) o
b
Let u = 7 + -12. Let v = 18.49 + 3.11. Let d = -20.6 + v. What is the nearest to -1/4 in u, -0.7, d?
-0.7
Suppose 17*u - 139 + 691 = 297. What is the nearest to 1 in -4, -3, u, -1/9?
-1/9
Let o = -432 + 428. Which is the closest to o? (a) 4 (b) 0.7 (c) -2 (d) -4
d
Let m = -2343 - -2338. Which is the nearest to 3/5? (a) -0.9 (b) 3 (c) m
a
Suppose -3*v = -11 - 7. Let p be 12 + (-1742)/143 + (-488)/(-22). Let h be (-35)/(-21) - p/15. What is the nearest to h in 3, 0.4, v?
0.4
Let g be 8 - (231/(-45) - (-2)/15). Suppose 4*v + 4*w = -28, v + g*w = 10*w - 11. What is the closest to 0.2 in -0.4, v, 0.4?
0.4
Let m = -2.9 + 3. Let o be (18 - -4)*(9/6)/1. Let n be -28 + o - 154/30. Which is the nearest to m? (a) 2 (b) n (c) -1
b
Let t be 2 + -1 + -8 + 2. Let y be t/30 + 1 + (-2)/(-3). What is the nearest to 7 in 2, y, -1?
2
Let r = -1081 - -699. Let p = 386 + r. Let l = -263/3 + 87. Which is the nearest to 0.2? (a) l (b) -0.2 (c) p
b
Let w be 9/58*16/(-6). Let n = w + 190/319. Suppose -h + 16 = -3*p + 2, -p - h - 10 = 0. Which is the closest to n? (a) 0 (b) p (c) 1
a
Let x be 4/(-24)*-42 + (-57)/(-18)*-2. What is the nearest to -91 in x, 4, 3/5, 0.2?
0.2
Let u = -14.1 + 173.1. Let p = -163 + u. Which is the closest to 10? (a) -5 (b) 4 (c) p
b
Let o = 25520.18 - 25521. What is the closest to -2/5 in o, -0.3, -3/2?
-0.3
Let z = 0 + -0.077. Let k = z + -23.423. Let h = -24 - k. What is the closest to -1 in h, -4, -0.2?
h
Let i = -0.247 - -0.013. Let f = i + -1.766. What is the closest to f in 0.02, -0.4, -2?
-2
Let t = -66 - -329/5. Let i = -1595 - -1594. Which is the nearest to i? (a) t (b) -4/3 (c) 0.4 (d) 1/8
b
Let n = -50.8586 - -0.0586. Let d = n + -13.2. Let u = -62 - d. Which is the closest to 6? (a) -5 (b) -1/6 (c) u
c
Let c = 25 - -3. Let s = c + -25. Suppose 2*t = s*t - 4. What is the nearest to 0.2 in 0.3, 3, t?
0.3
Let j = -0.3 - -0.1. Let l = -6672 - -46707/7. What is the closest to 4 in l, j, -0.01?
l
Let v = 416 + -207. Let y = -1669/8 + v. Let o = -0.02 + -4.98. Which is the nearest to y? (a) o (b) 5 (c) 1
c
Let s = -0.3141 - -0.8141. What is the closest to s in -3, -0.1, 0.86?
0.86
Let s = -202.73 - -207.73. Let l = 0 - 1. What is the nearest to l in 2, s, 7/3?
2
Let t = -35 - -34. Let i be (t/2)/(-3 - 62/(-30)). Let m = -3/28 + i. Which is the nearest to -5? (a) -1/4 (b) -0.2 (c) m
a
Let d = 2087.4 + -2087.5. What is the nearest to -5/6 in 0, d, 0.3, -5?
d
Let f(x) = x**2 - 73*x - 297. Let u be f(77). Which is the closest to 0.3? (a) u (b) 0.4 (c) -0.2
b
Let x = 2075 - 1213. Let q = x - 4306/5. Which is the closest to -7? (a) 3 (b) q (c) -2/9
c
Let k be 1581/(-651) - ((-18)/(-7) + -2). Which is the closest to 1? (a) -14 (b) 8/5 (c) k (d) -2/23
b
Let f be -49*6/(-5)*(-105)/(-147). Which is the nearest to f? (a) 1/2 (b) -5 (c) -1
a
Let w = -0.03 - -5.03. Let s = -106.187 - -0.187. Let h = 105 + s. Which is the closest to h? (a) w (b) 0.06 (c) -1
c
Let t(y) = y - 10. Let f be t(10). Let s = 70.67 - -1.33. Let m = 71.8 - s. Which is the closest to f? (a) m (b) 2/11 (c) 3
b
Let p = 9744.87 + -9748. Which is the nearest to p? (a) 0.2 (b) 1 (c) -4 (d) 3
c
Let l be ((-525)/(-196))/((-2)/(-4)). Let y = l - 859/161. Let w = y - 95/138. Which is the nearest to 0? (a) 4 (b) 2/5 (c) w
b
Let u = 2.41 + -4.41. Let x = 108 + -102. Which is the nearest to u? (a) x (b) 1/11 (c) -4/3
c
Let z = 7955/2 - 3978. What is the nearest to -1 in 2, z, -97?
z
Let x = -3038 + 12151/4. What is the closest to -2/25 in -0.2, -5, -4, x?
-0.2
Let y = 1.9378 + -1.9378. Let a = 0 + -0.4. What is the nearest to y in 4, a, 1?
a
Let i = -1.46 + -313.54. Let o = -311 - i. Which is the closest to -2? (a) o (b) 0 (c) 3
b
Let s be 2328/(-1440) - (-49)/28. What is the nearest to 0 in 0, s, 0.4, 6?
0
Let i = -2162 - -1786.8. Let t = 375 + i. Let w be 1/2 - (-2)/4. Which is the nearest to -2/9? (a) t (b) -1 (c) w
a
Let t = 9.483 - 11.483. Let j = 23.1 - 24. Which is the closest to t? (a) 0.1 (b) 2 (c) j (d) -3
d
Let i = -9956.2 - -9956. What is the closest to 1 in i, -5, 2/121?
2/121
Let f = -102.4 + 37.5. Let j = 63.9 + f. Let y = -5 + 8. Which is the nearest to j? (a) y (b) -1/2 (c) 0
b
Let s = -871 + 919.7. Let k = 49.7 - s. Let y(u) = -3*u + 4. Let t be y(4). Which is the closest to t? (a) 3 (b) -0.2 (c) k
b
Let t be 1/(-2) + (3 - 2). Let f be 100/12 - 7 - (-1846)/(-1065). What is the nearest to t in -3, f, 0?
0
Let h = -0.6 - -0.5. Let o = 2933.4 + -2933.7. Let g(q) = -2*q + 12. Let i be g(8). What is the nearest to h in -5, i, o?
o
Let y = -2112 +
|
{
"pile_set_name": "DM Mathematics"
}
|
00
Round 20294260 to the nearest 100000.
20300000
Round 1.139316 to one decimal place.
1.1
What is 14830100 rounded to the nearest 1000000?
15000000
What is 0.1295692 rounded to three dps?
0.13
Round 2.744238 to 1 dp.
2.7
What is -0.2034419 rounded to 3 decimal places?
-0.203
Round 55586.295 to the nearest 10.
55590
What is -0.0021802385 rounded to four decimal places?
-0.0022
Round 135.64 to the nearest one hundred.
100
What is 0.00968 rounded to 1 decimal place?
0
What is -0.441928 rounded to 3 decimal places?
-0.442
What is -0.01094279 rounded to five dps?
-0.01094
Round 1203.6844 to the nearest one thousand.
1000
What is -0.000568785 rounded to six dps?
-0.000569
Round 0.001079639 to seven dps.
0.0010796
What is -0.3004884 rounded to three dps?
-0.3
Round 13028 to the nearest ten.
13030
What is 26402720 rounded to the nearest 10000?
26400000
Round -682.8543 to the nearest integer.
-683
Round -1136.775 to the nearest 1000.
-1000
What is -121.2407 rounded to the nearest ten?
-120
What is -0.42829 rounded to one dp?
-0.4
Round 0.19234468 to four decimal places.
0.1923
What is 24334 rounded to the nearest 1000?
24000
What is 90.284 rounded to 1 decimal place?
90.3
Round 0.00030355749 to 6 decimal places.
0.000304
What is -0.00002597429 rounded to 7 dps?
-0.000026
Round 97715 to the nearest 100.
97700
Round -3007940 to the nearest one hundred thousand.
-3000000
Round 1650.663 to zero dps.
1651
What is 3.299761 rounded to three dps?
3.3
Round -0.0001322376 to seven decimal places.
-0.0001322
What is 4986240 rounded to the nearest 1000000?
5000000
Round -0.0001232111 to 7 dps.
-0.0001232
Round 0.0002031764 to seven decimal places.
0.0002032
Round -1709269.3 to the nearest 10000.
-1710000
What is 106779000 rounded to the nearest 100000?
106800000
What is -22.8063 rounded to the nearest 10?
-20
Round -5461010 to the nearest 100000.
-5500000
Round -0.000086928 to 6 decimal places.
-0.000087
What is 0.1670531 rounded to 2 dps?
0.17
Round -0.000010578085 to 6 decimal places.
-0.000011
What is 6567950 rounded to the nearest ten thousand?
6570000
Round 159.7752 to the nearest one hundred.
200
What is -0.006756939 rounded to five decimal places?
-0.00676
What is -0.00986983 rounded to four dps?
-0.0099
Round 0.000036507468 to 6 dps.
0.000037
Round -99438.9 to the nearest 1000.
-99000
Round -16597.019 to the nearest one thousand.
-17000
What is 45620502 rounded to the nearest 10000?
45620000
What is -0.005947062 rounded to five dps?
-0.00595
Round 0.00333789 to five decimal places.
0.00334
Round 113.023 to one dp.
113
Round -78282320 to the nearest 1000000.
-78000000
What is -0.010609 rounded to three dps?
-0.011
What is -8.23534 rounded to the nearest 10?
-10
Round 415.52991 to the nearest ten.
420
Round 74985.2 to the nearest ten thousand.
70000
Round -1.0897237 to 1 dp.
-1.1
What is -2373.693 rounded to the nearest ten?
-2370
What is 0.00001196507 rounded to seven dps?
0.000012
What is -0.0026005057 rounded to 4 decimal places?
-0.0026
What is 0.026603274 rounded to two dps?
0.03
Round -70625900 to the nearest 100000.
-70600000
What is -10735750 rounded to the nearest 100000?
-10700000
Round -1.644554 to one dp.
-1.6
What is 0.0002419224 rounded to 5 decimal places?
0.00024
What is -242035000 rounded to the nearest 1000000?
-242000000
Round 0.000005124453 to six decimal places.
0.000005
Round -350478.8 to the nearest one hundred thousand.
-400000
Round -106.311 to 0 decimal places.
-106
What is 82.436 rounded to the nearest 10?
80
What is -205339100 rounded to the nearest one million?
-205000000
Round 0.000000686131 to 7 dps.
0.0000007
Round 11773.23 to the nearest ten.
11770
What is -0.1225961 rounded to two decimal places?
-0.12
What is 0.123337514 rounded to 4 dps?
0.1233
Round 345.7767 to the nearest 10.
350
Round 13038000 to the nearest one hundred thousand.
13000000
What is -162.00893 rounded to the nearest ten?
-160
Round 0.00003955549 to 7 decimal places.
0.0000396
What is 0.0000003845 rounded to 7 dps?
0.0000004
Round -1.6557937 to 1 decimal place.
-1.7
Round 777900000 to the nearest 1000000.
778000000
What is -0.4704146 rounded to 3 decimal places?
-0.47
Round 832.7325 to zero dps.
833
What is -3754.1 rounded to the nearest 1000?
-4000
Round 0.00004980081 to seven decimal places.
0.0000498
What is 0.2631665 rounded to 2 decimal places?
0.26
What is -111286.3 rounded to the nearest 1000?
-111000
What is -0.0003528147 rounded to 5 dps?
-0.00035
What is -6125990 rounded to the nearest 100000?
-6100000
What is 0.0000050032 rounded to seven decimal places?
0.000005
What is -7440410 rounded to the nearest 10000?
-7440000
What is 7033.62 rounded to the nearest 1000?
7000
What is -190.7013 rounded to 1 decimal place?
-190.7
What is -1435.62 rounded to zero decimal places?
-1436
What is -0.005908373 rounded to three decimal places?
-0.006
Round 4769305.1 to the nearest one thousand.
4769000
Round 123.2926 to 1 decimal place.
123.3
Round 468920.6 to the nearest ten thousand.
470000
Round -4324458 to the nearest 1000000.
-4000000
What is -0.00127688 rounded to five dps?
-0.00128
Round -0.014130646 to 4 decimal places.
-0.0141
What is -0.0003113621 rounded to 7 dps?
-0.0003114
What is -176.3904 rounded to 0 dps?
-176
Round 420247.5 to the nearest one thousand.
420000
What is -0.003669525 rounded to 4 dps?
-0.0037
What is -4.66761 rounded to two dps?
-4.67
Round -0.02551124 to 5 dps.
-0.02551
Round -0.000000722114 to 7 dps.
-0.0000007
Round 150.8268 to the nearest integer.
151
What is 0.00001341279 rounded to seven decimal places?
0.0000134
Round 6969.3745 to the nearest ten.
6970
What is -9.37734 rounded to 1 decimal place?
-9.4
What is -5.058126 rounded to one decimal place?
-5.1
Round 180310600 to the nearest one hundred thousand.
180300000
What is -0.207104 rounded to 4 decimal places?
-0.2071
What is -792043000 rounded to the nearest one million?
-792000000
Round 1456.32 to the nearest one hundred.
1500
What is 9509.7842 rounded to the nearest one hundred?
9500
What is 2486154 rounded to the nearest 1000?
2486000
Round 180.075 to the nearest integer.
180
Round 0.2280834 to 3 decimal places.
0.228
What is 0.00001730716 rounded to 7 dps?
0.0000173
Round -0.02010002 to four decimal places.
-0.0201
What is -0.0000008915995 rounded to 7 dps?
-0.0000009
What is -21815.85 rounded to the nearest ten?
-21820
What is 5730900 rounded to the nearest one million?
6000000
Round 26734910 to the nearest 10000.
26730000
What is -11.45114 rounded to 2 decimal places?
-11.45
What is 0.4419258 rounded to 2 decimal places?
0.44
What is 1399589200 rounded to the nearest 1000000?
1400000000
Round 33831.5 to the nearest one hundred.
33800
What is 863048.9 rounded to the nearest ten thousand?
860000
Round -0.001531989 to six dps.
-0.001532
What is 0.0030947314 rounded to four decimal places?
0.0031
What is -3.9153 rounded to one decimal place?
-3.9
What is -712397.48 rounded to the nearest one hundred thousand?
-700000
Round 0.003163056 to 4 dps.
0.0032
Round -609.2732 to the nearest integer.
-609
What is -693.089 rounded to 0 decimal places?
-693
What is 603.715 rounded to 0 decimal places?
604
Round -0.000003604889 to 6 decimal places.
-0.000004
What is -86476.6 rounded to the nearest one thousand?
-86000
What is -40.57945 rounded to zero dps?
-41
What is 0.0001406764 rounded to seven decimal places?
0.0001407
What is 0.01632927 rounded to five decimal places?
0.01633
What is 128.29978 rounded to the nearest integer?
128
What is 591136.6 rounded to the nearest ten thousand?
590000
What is 41660.7 rounded to the nearest 1000?
42000
What is -0.081733146 rounded to four decimal places?
-0.0817
Round -0.042289 to 4 decimal places.
-0.0423
Round 10461960 to the nearest one million.
10000000
What is -54889330 rounded to the nearest one million?
-55000000
Round 0.0000036196309 to 7 dps.
0.0000036
Round -0.01447336 to 4 decimal places.
-0.0145
What is 0.0383307 rounded to two dps?
0.04
What is -0.82697476 rounded to one dp?
-0.8
What is -0.0005524989 rounded to six dps?
-0.000552
Round 0.000024952 to 7 dps.
0.000025
Round -0.1306551 to 2 decimal places.
-0.13
What is 0.2145349 rounded to four dps?
0.2145
Round 16183.7 to the nearest 10000.
20000
Round -9167057 to the nearest
|
{
"pile_set_name": "DM Mathematics"
}
|
4*x
Let h(p) = p**2 + 5*p + 4. Let w be (0 + -1)*(2 + 3). Let f be h(w). What is the first derivative of c**4 - 3*c**f - 1 + 4*c**4 wrt c?
8*c**3
Let h(g) = -2*g - 6. Let d(k) = k**2 - k - 1. Let c(i) = 6*d(i) - h(i). Find the second derivative of c(o) wrt o.
12
Let m = -101 - -101. Let j(t) be the first derivative of 3/2*t**2 + m*t - t**3 - 1. Find the second derivative of j(w) wrt w.
-6
Suppose 0 = -2*y + y + 6. Let i(g) = g**3 - 6*g**2 + g - 5. Let x be i(y). Differentiate h**3 + 0*h + x + 0*h wrt h.
3*h**2
Let t(p) = 12*p**3 + 2*p**2 + 6*p. Let b = 9 - 10. Let z(y) = y**3 + y. Let d(c) = b*t(c) + 6*z(c). What is the third derivative of d(m) wrt m?
-36
Let s = 6 + 0. Suppose 3*r - 2 - 7 = 0. Differentiate -5*u**3 + r*u**3 + s - 3 wrt u.
-6*u**2
Suppose -2*z = -3*z + 5. Find the third derivative of -2*k + 3*k**2 + 4*k**z + 2*k wrt k.
240*k**2
Suppose 0 = -a + 6 - 3. What is the third derivative of k + 2*k - 3*k + k**a + 5*k**2 wrt k?
6
Let b be (1 + -1)*(-1)/(-1). Find the third derivative of -2*g**2 + b*g**5 - 5*g**5 + 2*g**5 wrt g.
-180*g**2
Let r(k) be the first derivative of 5*k**4/4 + 2*k**3 + 13. Find the third derivative of r(z) wrt z.
30
Suppose -4*h = -0 - 8. Find the second derivative of h - 5*k + 9*k**3 - 2 - 4*k**3 wrt k.
30*k
Let l(c) = 4*c - 17. Let w(f) = f - 3 - 1 + 0*f. Suppose 0 = 5*p + 11 - 56. Let x(q) = p*w(q) - 2*l(q). Differentiate x(i) with respect to i.
1
Let u(p) be the first derivative of 0*p + 1/4*p**4 - 4/3*p**3 + 0*p**2 + 2. What is the third derivative of u(q) wrt q?
6
Let w(l) = 13*l**2 + 11*l + 13. Let y(b) = -4*b + 0*b**2 - 2*b - 3 - 7*b**2 - 4. Let p(r) = -6*w(r) - 11*y(r). Differentiate p(s) wrt s.
-2*s
Let m(f) be the first derivative of -6 + 2*f**3 + 21 - 14 + 2*f. Find the first derivative of m(u) wrt u.
12*u
Let z(s) = 2*s**2 + 2*s. Let t be z(-2). What is the derivative of t*q**2 - 2*q**2 + 0*q**2 + 1 wrt q?
4*q
Let m = 2 + 3. Let y = 2 - m. Let a(x) = x. Let c(l) = -5*l - 1. Let t(v) = y*a(v) - c(v). Differentiate t(b) wrt b.
2
Let k(y) be the first derivative of -2*y**2 - 7*y + 7. Find the first derivative of k(c) wrt c.
-4
Differentiate 18 + 11*i - 23*i + 12*i - i**2 with respect to i.
-2*i
Suppose -20 - 13 = -3*i. What is the third derivative of 2*p**3 - i*p + 11*p + 2*p**2 wrt p?
12
Suppose 4*z - 8 = 4. Let i(y) be the third derivative of 0*y**5 + 0 + 1/3*y**3 + 1/60*y**6 - z*y**2 + 0*y**4 + 0*y. Find the first derivative of i(r) wrt r.
6*r**2
What is the third derivative of 13*t**2 - 5*t**5 + 4*t**2 - t**2 + 0*t**5 wrt t?
-300*t**2
Let q(v) = -v**3 + v. Let c(k) = -4*k**3 + 6*k - 8. Let w(s) = c(s) - 6*q(s). Differentiate w(a) with respect to a.
6*a**2
Let x(i) = -15*i**3 + 3*i**2 + 13. Let r(a) = 46*a**3 - 8*a**2 - 38. Let o(h) = -3*r(h) - 8*x(h). Differentiate o(b) wrt b.
-54*b**2
Let o(h) = h**2 - 6*h + 6. Let r be o(6). Let f(b) = b - 4. Let a be f(r). Find the third derivative of a*s**6 + 0*s**2 - 3*s**6 - s**2 wrt s.
-120*s**3
Let x(w) = 31*w**3 - 30*w**2 + 4*w + 4. Let z(n) = -61*n**3 + 59*n**2 - 9*n - 9. Let s(k) = 9*x(k) + 4*z(k). Find the third derivative of s(a) wrt a.
210
Let p = 23 + 2. Suppose n - p = -2*n + 4*k, 3*n + 3*k = -3. What is the first derivative of n*l + 1 - l - 2 wrt l?
2
Let w(b) = -b + 1. Let h be w(1). Let g(p) = p. Let x be g(2). What is the first derivative of q**x + h*q + 0*q - 2 wrt q?
2*q
Differentiate -3*g - 7 + 6*g + 8 with respect to g.
3
Let b be 6/(3 + 3/(-2)). Differentiate -35*g - 4 - 2*g**b + 35*g with respect to g.
-8*g**3
Let x be 3 - 0 - (-5)/(-2). Let k(p) be the second derivative of 0 + 1/6*p**3 - x*p**2 + 2*p. Differentiate k(o) wrt o.
1
Let x = -3 - -7. What is the third derivative of -3*p**5 - p**x + p**4 - p**2 + 5*p**2 wrt p?
-180*p**2
Let m(o) be the second derivative of -o**7/14 + o**5/10 + o**3/6 + 7*o**2/2 - 33*o. What is the second derivative of m(r) wrt r?
-60*r**3 + 12*r
Let t(y) be the second derivative of 8*y**7/21 - 13*y**4/12 - 9*y. Find the third derivative of t(h) wrt h.
960*h**2
Let p be (5 - (5 + -2))*1. Differentiate -2*z**3 - 4 - 3*z**3 + p*z**3 wrt z.
-9*z**2
Find the third derivative of j**2 - 6*j**2 - 15*j**6 - 2*j**2 wrt j.
-1800*j**3
Let h(c) = -4*c + 4. Let l be h(-5). Suppose -4*t - 4*q = -l, -6 = -t + q + q. What is the third derivative of 4 + a**t - 4 - 2*a**2 wrt a?
120*a**3
Let v(i) be the second derivative of -4*i**5/5 - 3*i**4/4 + 35*i - 2. What is the third derivative of v(k) wrt k?
-96
Let n be (-34)/(-4) - 7/(-14). Find the third derivative of n*u**2 - 2*u**4 - u**2 - 2*u**2 + 3*u**4 wrt u.
24*u
Let s(x) be the first derivative of -69*x**2/2 - 62*x + 32. What is the first derivative of s(q) wrt q?
-69
Let a(m) = -m**3 - m**2. Let g(h) = 5*h**3 + 7*h**2 + 9*h. Let l(x) = 14*a(x) + 2*g(x). What is the second derivative of l(w) wrt w?
-24*w
Find the third derivative of -29*x**3 + 11*x**2 + 22*x**2 + 19*x**2 - 19*x**2 wrt x.
-174
Find the third derivative of 8*v**2 + 7*v**5 - 11*v**6 + 0*v**2 - 7*v**5 wrt v.
-1320*v**3
Let r(t) be the second derivative of -t**7/7 - 7*t**3/6 + 17*t. Find the second derivative of r(f) wrt f.
-120*f**3
Let m(z) be the second derivative of -1/6*z**3 + 0*z**5 - 2/21*z**7 - 3*z + 0*z**6 + 0 + 0*z**2 + 0*z**4. Find the second derivative of m(t) wrt t.
-80*t**3
Let r(u) be the third derivative of -u**7/105 - u**5/60 - 9*u**2. What is the third derivative of r(t) wrt t?
-48*t
Suppose 5*w = -0*w + 4*x - 7, -3*w - 4*x + 15 = 0. Let y = -1 + w. What is the second derivative of y*o**2 - o**2 - o + 2*o wrt o?
-2
Let n(q) = -3*q**3 - 6*q**2 - 3*q - 49. Let l(s) = -4*s**3 - 9*s**2 - 4*s - 74. Let g(j) = 5*l(j) - 7*n(j). What is the second derivative of g(r) wrt r?
6*r - 6
Let u(j) be the third derivative of -13*j**4/24 + 4*j**3 - 24*j**2. Differentiate u(f) with respect to f.
-13
Let w(i) be the second derivative of -i**8/56 + 19*i**5/10 + 8*i**4/3 + i**2 - 3*i + 13. What is the third derivative of w(c) wrt c?
-120*c**3 + 228
Let u(k) be the first derivative of -7*k**6/6 + k**3 + 2. Find the third derivative of u(f) wrt f.
-420*f**2
Let y(z) = -z - 2 + 8*z**2 + 3 + z. Let x(w) = 23*w**2 + 4. Let u(h) = 4*x(h) - 11*y(h). What is the derivative of u(k) wrt k?
8*k
What is the second derivative of 3*t - 8*t**4 - 2*t**4 - 14*t + 2*t wrt t?
-120*t**2
Let a(d) = -21*d**3 - 26*d**2 - 6. Let k(j) = 21*j**3 + 25*j**2 + 5. Let w(l) = -5*a(l) - 6*k(l). What is the third derivative of w(i) wrt i?
-126
What is the second derivative of 11*n**5 - 8*n**5 + 5*n**5 - 5*n wrt n?
160*n**3
Let o = -16 + 27. What is the second derivative of -o + 11 + 2*g**4 + 2*g wrt g?
24*g**2
Let t = -3 - -5. Find the third derivative of -3*j**5 - 5*j**2 + 3*j**3 + 7*j**t - 3*j**3 wrt j.
-180*j**2
Let o(z) be the second derivative of z**7/280 - z**5/60 - z**3/2 - 2*z. Let g(a) be the second derivative of o(a). Find the second derivative of g(x) wrt x.
18*x
Let n(y) = 4*y**4 - 3*y**2 - 3*y - 2. Suppose 0 = k + 4*k - 5. Let w(c) = c**4 - c**2 - c - 1. Let m(h) = k*n(h) - 3*w(h). What is the derivative of m(s) wrt s?
4*s**3
Let r(x) be the first derivative of -x**7/30 - 7*x**3/6 - x**2/2 + 4. Let w(l) be the second derivative of r(l). What is the derivative of w(t) wrt t?
-28*t**3
Let w(l) be the third derivative of 1/12*l**4 + 0*l + 0*l**3 - 3*l**2 - 2/105*l**7 + 0*l**6 + 0 + 0*l**5. Find the second derivative of w(v) wrt v.
-48*v**2
Let l(f) be the second derivative of f**6/360 + f**5/120 + f**3/3 + 3*f. Let d(m) be the second derivative of l(m). Find the second derivative of d(p) wrt p.
2
Let j = 2 + 3. Let u = j + -3. Find the second derivative of -m - u*m + 0*m**5 - m**5 wrt m.
-20*m**3
Let n be (-14)/(-8) - 2/(-8). What is the third derivative of -4*f**n + 4*f**3 - 11*f + 11*f wrt f?
24
Let c(z) be the second derivative of -3*z**8/56 + 5*z**4/12 - 4*z. Find the third derivative of c(k) wrt k.
-360*k**3
Let h(y) = -11*y**3 + 3*y**2 + 11. Let t(d) = 23*d**3 - 7*d**2 - 23. Let k(b) = 14*h(b) + 6*t(b). What is the first derivative of k(z) wrt z?
-48*z**2
Let v(t) = -4*t**2 - 15*t + 3. Let r(j) = 8*j**2 + 30*j - 5. Let m(i) = 3*r(i) + 5*v(i). What is the second derivative of m(f) wrt f?
8
Let b(m) be the third derivative of m**6/15 - m**5/15 - 3*m**2. What is the third derivative of b(u) wrt u?
48
Suppose 2*p + 10 = 4*q, -6*p - 5*q
|
{
"pile_set_name": "DM Mathematics"
}
|
t f be ((-33)/(-72))/((-2)/(-8)). Let y = f - 3/2. Which is the third biggest value? (a) -1 (b) m (c) y
a
Let f(p) = 2*p - 10. Let r(b) = b**2 + 5*b + 5. Let x be r(-5). Let n be f(x). What is the third biggest value in n, -1/4, -5/3?
-5/3
Let g be 3 + -1 - (-1 + -3). Suppose -3*d + g*d = 9. Let i be ((-3)/63)/((-8)/(-24) + 0). Which is the second smallest value? (a) d (b) i (c) 0
c
Let l = -2/459 - -479/4590. What is the biggest value in l, 0.9, 4?
4
Suppose -u + 38 = u - 5*m, 3*m = 2*u - 42. Let g be 4/(-6) - (-836)/(-33). Let h be g/u - (-1)/(-4). What is the third biggest value in h, -0.3, -1/4?
h
Suppose -6*z + 75 = -z. Suppose -z = -4*l - l. Let q = -46/147 + 4/147. Which is the second biggest value? (a) q (b) l (c) 1/4
c
Let n = -15 - -9. Let k = n + 5.7. Let w be (4/(-50))/(1/(-5)). What is the biggest value in w, 4, k?
4
Let x = 0.0155 + -4.8255. Let f = x + 0.11. Let y = f + 0.7. What is the second smallest value in y, -1, 0.5?
-1
Let s = 134 - 233. Let p be s/(-51) - -1 - 3. Which is the second biggest value? (a) p (b) -2/7 (c) 1/2
a
Let s = 8.43 - 8. Let d = s + -0.03. What is the third smallest value in 0, -0.2, d?
d
Let c = 67 - 72.4. Let p = -5 - c. What is the second smallest value in p, -0.5, 3/7?
p
Let z = -0.6 + 0.1. Let w be 2/(-1)*13/(-312). Suppose -2*o - 3*o = 25. Which is the biggest value? (a) w (b) z (c) o
a
Let t be (7 - (-17)/(-3))*6/(-4). What is the fourth smallest value in t, 3/7, -3, -1/2?
3/7
Let n = 2 - 1.7. Let g(j) = j**3 + 3*j**2 + 2*j + 2. Let y be g(-3). Which is the biggest value? (a) n (b) y (c) 0.2
a
Let d = 4/111 + -290/1887. Let v = 0.6 - 0.4. What is the biggest value in 5, d, v?
5
Let x = -43.8 + 44. What is the second biggest value in -4, x, 2/5?
x
Let j(n) = n - 1. Let a be j(4). Suppose -a*b - w = -2 + 14, -14 = b - 3*w. What is the biggest value in 0.2, b, -2/15?
0.2
Let y = -0.5 + 0.1. Let j = -5 - -3. Which is the biggest value? (a) j (b) 2/3 (c) y
b
Let b = 176.1 + -176. Let g = 8 - 5. Let a = 2.9 - g. What is the third biggest value in 0.2, a, b?
a
Let i be (-1 + 3/(-6))*2. What is the biggest value in 0.4, -4, i?
0.4
Let i = 1 - 4. Suppose 4*q - 14 + 22 = 0. Which is the biggest value? (a) 2/11 (b) q (c) i
a
Let m = -0.3 - -0.35. What is the second smallest value in 0.4, -2, m?
m
Let v be (-18)/42 + 156/21. Let w(s) = s**2 - 7*s - 4. Let q be w(v). Let o = 0.1 - 0.1. What is the third biggest value in o, -0.3, q?
q
Let x be (-3)/(-5) - 12/(-30). Let p = 12.3 - 12.6. Which is the third biggest value? (a) p (b) -1 (c) x
b
Let m = 2 - 3. Let a = -3 - -4. Let w = m + a. What is the second smallest value in -2/9, -1/2, w?
-2/9
Suppose 14 = -2*p + 4, 0 = 3*i + 3*p + 30. What is the second biggest value in i, 5, 2?
2
Let w = 2 - 4. Let a = 2.074 + 0.026. Let y = a + w. What is the smallest value in y, -5, 1/2?
-5
Let i = -2.1 - -5. Let j = i - -0.1. What is the second smallest value in j, 1/4, -4/7?
1/4
Let f = 0.3 - 0.1. What is the third smallest value in 2, f, -2/7?
2
Suppose 8*y + 22 = -10. What is the biggest value in 1, -1, y?
1
Let i = 0.07 + -5.07. Let k = 149/720 + -1/144. What is the second smallest value in i, 3, k?
k
Let h = -13 + 13.5. Which is the second biggest value? (a) -2/9 (b) h (c) 0
c
Let p be ((-2)/5)/((-3)/(-15)). Let u = -0.58 - -0.6. Let h = u - -0.28. What is the third smallest value in p, 0.4, h?
0.4
Let o be 18/(-40) + 1 + 3/(-4). Let u = -11 + 2. Let a = u + 5. What is the third smallest value in 0.2, a, o?
0.2
Let c = -5.24 - 0.06. Let p = c - -5. Let q be 5/3*3/(-2). What is the second smallest value in p, 3/5, q?
p
Let r be ((-3)/15)/(3/(-6)). Let h(t) = 2*t + 5. Let l be h(-4). Which is the third biggest value? (a) -1/6 (b) r (c) l
c
Let o = 71 + -71.4. Which is the third biggest value? (a) o (b) 0.5 (c) 0.1 (d) -2
a
Let v = 2.97 + 0.03. Let r = v + -3.1. Which is the third biggest value? (a) -3 (b) 5 (c) r
a
Let i = -73 - -72. What is the biggest value in -0.1, -2, 1, i?
1
Let k = -21 - -20.8. Which is the second biggest value? (a) 0.3 (b) -7 (c) k
c
Let c be (3/2)/(7 + -1). Let f = -250 + 252. What is the second biggest value in 5/6, f, c?
5/6
Let k be -10*(0 - (-4)/10). Let i be ((-1)/4 - 0)*k. Let v be i - (-51)/(-21) - -2. What is the biggest value in v, 0.5, -2?
v
Suppose -p + 2 = 6. Let a be 2/p + 11/(-2). Let d = a + 4. What is the second biggest value in d, 0, 4?
0
Let w = -7.96 - -8. Let b = w - -0.96. What is the smallest value in b, 3, -1?
-1
Let y = -101 - -99. What is the third smallest value in 1/2, y, -1/6?
1/2
Let x = 2.43 - 2.23. Let p = 1.5 + -9.5. Let w = 11 + p. Which is the third biggest value? (a) x (b) -1 (c) w
b
Let d = -0.2 - 0. Let r = 5 - 3. Let n = 1 + r. Which is the smallest value? (a) 0.5 (b) n (c) d
c
Suppose 0 = -3*z + 23 - 8. Suppose 16 = -p - 3*q, 4*q + 11 + 4 = z*p. Let n be (-4 + 2)/(16/(-3)). Which is the smallest value? (a) n (b) -0.4 (c) p
c
Let y = -0.9 - -0.6. Suppose -4*n + 3 = -9. What is the second biggest value in n, 2/9, y?
2/9
Let n = 60.5 + -61. Let r = 2.1 + -2. Which is the second biggest value? (a) r (b) n (c) -1/7
c
Let f = 30/13 + -99/26. Which is the smallest value? (a) 4 (b) 2/5 (c) f
c
Let z = -20 + 16. Let d = -5 + 3. Let w = d - z. Which is the smallest value? (a) w (b) -2/7 (c) -5
c
Let u = 1.5 + -1. Let a be -4 + (-3)/((-60)/68). What is the second biggest value in 4, u, a?
u
Let w = -14.1 - -14. What is the second smallest value in w, 2, 4?
2
Suppose 6*l - 29 + 11 = 0. What is the second smallest value in -3/2, l, -4?
-3/2
Let n = -5 + -1. Let s = n + 2. What is the second smallest value in s, 0.5, 1/4?
1/4
Suppose 0*o = -o + 16. Suppose 8*d = 4*d + o. Let m = -0.2 - 2.8. Which is the third smallest value? (a) -2/3 (b) d (c) m
b
Let f = -15 + 29. Suppose 5*t = f + 11. Which is the third biggest value? (a) 2/9 (b) 2/7 (c) t
a
Let f = -0.5 - -0.1. Let p = -0.5 - f. Let a = -10 - -5. What is the biggest value in p, -1/4, a?
p
Let t be (18/(-45))/(-1 + (-38)/(-30)). Which is the second biggest value? (a) 6 (b) 2/11 (c) t (d) 0.4
d
Let s = -1 + -2. What is the smallest value in 2, s, -1?
s
Suppose -2*p + 104 + 76 = 0. Let l be p/(-78) + -2 + 3. Let r = 0.3 + -0.4. What is the third biggest value in 0, l, r?
l
Let q = 0.14 + -14.14. Let z = q + 16. What is the biggest value in 4/7, z, -2/11?
z
Let d = -6 - -9. Let g be d - (-2 + 53/11). Let f = -1.8 + 2. Which is the second biggest value? (a) -0.5 (b) f (c) g
c
Let q = 1803/11 - 164. Let f = -9.6 + -3.4. Let w = f + 14. What is the biggest value in w, -5, q?
w
Let i = -0.6 - 0.4. Let b be -2 + -1 - (0 - 0). What is the second biggest value in i, -3/4, b?
i
Let d = 0.45 - 0.05. Let p = -5 + 5.2. Let f = p + -4.2. Which is the second smallest value? (a) 2 (b) f (c) d
c
Suppose -r - 7 = 5*p, 3*p = 7*p + 2*r + 8. Which is the biggest value? (a) -0.02 (b) p (c) -0.5 (d) -1/7
a
Let q be ((-2)/3)/((-4)/9). Let w be (-3)/(-6) - (-15)/(-20). Which is the smallest value? (a) w (b) q (c) -3/5
c
Let h = 2 - 1. Let x(t) = 2*t**2 + t + 2. Let u be x(-2). Suppose -5*m = y - 0*y - 16, 0 = 2*y + u. What is the second smallest value in -3, h, m?
h
Let j = -20 - -37. Suppose 0 = -4*y + 20, j = -2*i + 3*y + 2. Suppose i = u + 4*u + 20. What is the smallest value in 1, -0.4, u?
u
Let y = 0.277 + -0.377. Let w be ((-3)/2)/((-3)/6). Which is the third smallest value? (a) y (b) 4 (c) w
b
Let l = -0.042 - 4.658. Let q = l - -0.7. What is the smallest value in 0, q, 2?
q
Let o = -1.3 - -0.8. Let m = 19 - 18.89. Let x = -4.89 - m. What is the third biggest value in o, -4, x?
x
Let d = 27 + -26.6. What is the third smallest value in 0.3, -1/5, d?
d
Let q = 6 + -5.6. Suppose v - 10 = -4*r + 12, 3*v - 26 = -4*r. Suppose -24 = 3*l + 3*s, s + 0*s = -v*l - 11. What is the third biggest value in l, -0.1, q?
l
Let n = 6.4 - 6. Suppose 3*o + 3 = 0, 2*g - 4*o + 7*o - 3 = 0. Suppose -d - g = 2*d. Which is the smallest value? (a) -0.5 (b) d (c) n
b
Let t = -0.1 + -1.9. Let k = -0.05 - -1.05. Which is the biggest value? (a) k (b) 3 (c) t
b
Suppose 0 = -9*q - 175 + 13. Which is the biggest value? (a) -1/3 (b) -5 (c) q
a
Let s = -0.01 - -0.01. Let i = s + -0.5. Which is the biggest value? (a) 1/9 (
|
{
"pile_set_name": "DM Mathematics"
}
|
/8967 and 81/4?
35868
What is the common denominator of -61/63 and -43/33786?
236502
Find the common denominator of 85/268 and -41/786.
105324
Find the common denominator of 59/338 and -107/71766.
12128454
What is the common denominator of 113/6456 and 91/34432?
103296
Calculate the smallest common multiple of 46741 and 3261.
140223
Find the common denominator of 73/618 and -83/3090.
3090
Calculate the smallest common multiple of 5410 and 15148.
75740
Find the common denominator of -13/30438 and -95/4272.
243504
Calculate the lowest common multiple of 3 and 1602.
1602
What is the common denominator of -89/3664 and 71/24?
10992
Calculate the common denominator of 67/117513 and -42/143627.
1292643
Calculate the least common multiple of 5 and 387.
1935
Calculate the common denominator of 1/2240 and 81/54880.
109760
Find the common denominator of -145/192 and 35/115776.
115776
What is the common denominator of 14/378297 and 23/756594?
756594
Calculate the least common multiple of 132 and 11506.
69036
Calculate the least common multiple of 442854 and 15.
2214270
Calculate the smallest common multiple of 60 and 17200.
51600
Calculate the lowest common multiple of 1099708 and 2.
1099708
Calculate the common denominator of 29/4 and 41/67546.
135092
Calculate the common denominator of -2/66667 and -27/326.
133334
Find the common denominator of -29/37044 and 10/9261.
37044
Calculate the least common multiple of 63 and 278799.
5854779
What is the least common multiple of 256716 and 72?
513432
What is the common denominator of 53/26320 and 99/5264?
26320
Calculate the common denominator of -47/59721 and 50/153.
179163
Find the common denominator of -59/288228 and 19/1056836.
3170508
What is the lowest common multiple of 58768 and 44076?
176304
What is the lowest common multiple of 1841 and 234596?
1642172
What is the smallest common multiple of 2103 and 24?
16824
Calculate the lowest common multiple of 216 and 44523.
356184
Calculate the least common multiple of 22848 and 1456.
297024
What is the common denominator of 69/24008 and -15/24008?
24008
Calculate the common denominator of -91/6512 and 67/5115.
3028080
Calculate the common denominator of 20/161 and -107/5704.
39928
Calculate the least common multiple of 432 and 2976.
26784
Calculate the smallest common multiple of 66174 and 110290.
330870
Calculate the least common multiple of 903160 and 4044.
2709480
Calculate the lowest common multiple of 615 and 360.
14760
Calculate the smallest common multiple of 1020 and 2465.
29580
Calculate the smallest common multiple of 222669 and 148446.
445338
What is the common denominator of -68/689991 and -89/21732?
2759964
Calculate the common denominator of 29/95763 and 10/4521.
1053393
What is the smallest common multiple of 150 and 1140?
5700
Find the common denominator of -46/667143 and -55/6.
1334286
Find the common denominator of 133/2586 and 125/31032.
31032
Find the common denominator of 137/140 and 73/13340.
93380
What is the common denominator of -73/5360 and 19/20?
5360
What is the least common multiple of 6 and 70626?
70626
Find the common denominator of -27/50 and 119/1766010.
8830050
What is the least common multiple of 14968 and 14968?
14968
Calculate the common denominator of -7/2200 and 39/6400.
70400
What is the least common multiple of 39 and 7304?
284856
What is the least common multiple of 2332 and 176?
9328
Calculate the common denominator of 143/54546 and 95/509096.
1527288
What is the least common multiple of 46629 and 58?
2704482
What is the smallest common multiple of 50 and 31620?
158100
What is the least common multiple of 4433 and 292435?
9065485
Calculate the common denominator of -59/27 and 56/164565.
164565
What is the common denominator of 31/12 and 93/5870?
35220
What is the least common multiple of 9136 and 4?
9136
What is the lowest common multiple of 10126 and 1826?
111386
Calculate the common denominator of -79/19458 and 169/150.
486450
Calculate the lowest common multiple of 516456 and 1134.
3615192
What is the lowest common multiple of 71838 and 27937?
502866
What is the smallest common multiple of 22 and 9546418?
105010598
Calculate the common denominator of -23/16 and 27/88.
176
What is the common denominator of -73/5635270 and -31/6?
16905810
What is the common denominator of 46/78489 and -23/1569780?
1569780
Calculate the lowest common multiple of 24376 and 248.
755656
Find the common denominator of -5/573738 and -83/20.
5737380
Calculate the least common multiple of 103730 and 16974.
933570
What is the least common multiple of 64 and 128704?
128704
Calculate the smallest common multiple of 447209 and 702757.
4919299
Calculate the common denominator of 21/43 and 69/406.
17458
What is the common denominator of -89/130686 and 43/161?
914802
Find the common denominator of 77/77120 and 51/100.
385600
Calculate the lowest common multiple of 10 and 6760.
6760
Calculate the smallest common multiple of 650 and 1350.
17550
What is the lowest common multiple of 6144 and 8704?
104448
What is the common denominator of 83/30096 and 43/6384?
210672
Find the common denominator of 81/250 and -68/13725.
137250
What is the common denominator of -53/210 and 42/745?
31290
Calculate the common denominator of 7/146068 and -119/56180.
730340
What is the lowest common multiple of 2800 and 5600?
5600
Calculate the smallest common multiple of 63 and 132768.
929376
Calculate the common denominator of 67/40310 and -67/270.
1088370
Find the common denominator of 59/254 and 65/6436.
817372
Calculate the least common multiple of 14 and 10041346.
10041346
Calculate the least common multiple of 1245536 and 36.
11209824
What is the lowest common multiple of 235416 and 19618?
235416
Calculate the common denominator of 51/760 and 29/106780.
213560
Calculate the smallest common multiple of 26308 and 65770.
131540
Find the common denominator of 11/45 and -64/16011.
80055
Calculate the least common multiple of 20285 and 30.
121710
Calculate the lowest common multiple of 766 and 101112.
101112
What is the common denominator of 83/580 and -117/812?
4060
What is the lowest common multiple of 29976 and 919264?
2757792
Find the common denominator of -1/6072 and 91/65412.
1439064
Find the common denominator of 103/294 and -17/740544.
5183808
What is the least common multiple of 104958 and 10710?
524790
Calculate the smallest common multiple of 437819 and 5.
2189095
Calculate the common denominator of 57/247520 and -9/935.
2722720
Calculate the common denominator of 137/550200 and -77/216.
4951800
Calculate the least common multiple of 21 and 370685.
1112055
What is the common denominator of -13/110 and 7/27520?
302720
Calculate the least common multiple of 546 and 7644.
7644
What is the common denominator of 19/264 and 71/858220?
5149320
Calculate the smallest common multiple of 156 and 49530.
99060
What is the common denominator of 17/2984946 and 11/3?
2984946
Calculate the smallest common multiple of 876 and 6.
876
What is the common denominator of 5/10173 and 13/30?
101730
What is the least common multiple of 15 and 480225?
480225
What is the common denominator of -77/12 and 11/262704?
262704
Calculate the lowest common multiple of 350 and 119560.
597800
Find the common denominator of 103/5520 and -57/3280.
226320
Calculate the least common multiple of 140 and 3500.
3500
Calculate the smallest common multiple of 20822 and 18.
187398
Calculate the smallest common multiple of 70752 and 11792.
70752
Find the common denominator of -21/6728 and -27/667754.
2671016
Calculate the least common multiple of 8190 and 6545.
1531530
What is the smallest common multiple of 34638 and 346380?
346380
Calculate the smallest common multiple of 190470 and 57141.
571410
What is the common denominator of 109/15768 and -101/22734?
6638328
What is the smallest common multiple of 160 and 40?
160
What is the smallest common multiple of 5184 and 864?
5184
What is the smallest common multiple of 36 and 93164?
838476
Find the common denominator of 53/3300 and -59/585750.
1171500
What is the least common multiple of 364056 and 5910?
1820280
Calculate the least common multiple of 297 and 145800.
1603800
Calculate the common denominator of 23/836365 and 97/1003638.
5018190
What is the com
|
{
"pile_set_name": "DM Mathematics"
}
|
3*q.
-236*q**2
Collect the terms in -9018 + 4509 + 4511 + 14*k**2.
14*k**2 + 2
Collect the terms in 358 - 514*z - 358.
-514*z
Collect the terms in -67*j + 95*j - 15*j - 17*j + 6*j.
2*j
Collect the terms in 3*x - 12 - 39 - 20 + 12.
3*x - 59
Collect the terms in -1462*l**2 - 1513*l**2 + 2992*l**2.
17*l**2
Collect the terms in -4 + 14*k + 14 - 5 - 9 - 20*k.
-6*k - 4
Collect the terms in 12*l**3 - 2 - 77*l**3 + 2 - 37*l**3.
-102*l**3
Collect the terms in -20720*m**3 + 10414*m**3 + m + 10308*m**3 - m.
2*m**3
Collect the terms in -4 + 23*h**2 + 6*h**2 + 42*h**2.
71*h**2 - 4
Collect the terms in -3777*s**3 + 1767*s**3 + 1812*s**3.
-198*s**3
Collect the terms in 310*v**2 + 1590*v**2 - 836*v**2.
1064*v**2
Collect the terms in 77 + 12*r - 197 + 120.
12*r
Collect the terms in 30*p - 5*p + 1 - 21*p - 36*p - 28*p.
-60*p + 1
Collect the terms in -45*l**2 + 0*l**2 - 32*l**2 - 103*l**2.
-180*l**2
Collect the terms in -14*u**3 + 70*u**2 + 9*u**2 + 3*u**3 - 97*u**2 + 18*u**2.
-11*u**3
Collect the terms in -46*r**3 + 41*r**3 + 135*r**3 + 230*r**3 + 138*r**3.
498*r**3
Collect the terms in 2*q - 40 - 34 + 0*q.
2*q - 74
Collect the terms in -676*k**3 - 415*k**3 + 1088*k**3.
-3*k**3
Collect the terms in -25*z - 185*z - 163*z.
-373*z
Collect the terms in -3*b - 9*b + 383*b**2 - 14*b + 26*b - 1.
383*b**2 - 1
Collect the terms in 166567224*u**2 + 1 - 166567230*u**2 - 1.
-6*u**2
Collect the terms in 374*b - 361*b + 3*b**3 + 2*b**3.
5*b**3 + 13*b
Collect the terms in 122*o**2 + 68*o**2 + 39*o**2 + 257*o**2 + 105*o**2.
591*o**2
Collect the terms in 71*w**2 - 9*w - 3*w + 8*w + 4*w.
71*w**2
Collect the terms in -c**2 - 616 - 551 + 1722 + 3*c**2 - 555.
2*c**2
Collect the terms in -4*c**2 + 15 - 15 - 207*c + 4*c**2 - c**3.
-c**3 - 207*c
Collect the terms in 88*u**2 + 127*u**2 - 248*u**2.
-33*u**2
Collect the terms in 33*y**2 - 3*y - 37*y**2 + 2*y + 10*y.
-4*y**2 + 9*y
Collect the terms in 4 - 4 - 97377313*n + 97377312*n.
-n
Collect the terms in -47 + 12*o**2 - 29*o**2 + 11*o**2 + 13*o**2.
7*o**2 - 47
Collect the terms in 462*b**2 + 52*b - 350*b**2 + 48*b - 100*b.
112*b**2
Collect the terms in -3196 - 3*z**3 - 3202 + 7*z**3 + 6398.
4*z**3
Collect the terms in -1008 - 3*y + 1714 + 1597.
-3*y + 2303
Collect the terms in -90*i - 6 + 28*i + 64*i - 13.
2*i - 19
Collect the terms in -86*o**3 - 93*o**3 - 3418*o + 3418*o.
-179*o**3
Collect the terms in 655*d**2 - 27*d**2 + 216*d**2.
844*d**2
Collect the terms in 12*m - 339*m**2 + 338*m**2 - 84*m.
-m**2 - 72*m
Collect the terms in -51 - 2*k + 95 - 21 - 35 - 43.
-2*k - 55
Collect the terms in -20*x - 9*x**3 - 124*x + 142*x.
-9*x**3 - 2*x
Collect the terms in 11*j**3 + 551 + 2*j**3 - 551 - 5*j**3.
8*j**3
Collect the terms in 232*b - 209*b + 332*b.
355*b
Collect the terms in m**3 + 11*m**3 + 0*m**3 + 9*m**3 + 3.
21*m**3 + 3
Collect the terms in -4 + 1 - 12*g + 86*g + 3 - 67*g.
7*g
Collect the terms in -4*p**3 - 6781*p + 58 + 6781*p - 58.
-4*p**3
Collect the terms in f - f - 161343*f**3 + 0*f + 161346*f**3.
3*f**3
Collect the terms in 69*y + 151*y - 160*y.
60*y
Collect the terms in 42*k + 62*k + 249*k.
353*k
Collect the terms in 56*u - 27*u + 27*u + 34*u.
90*u
Collect the terms in 10713*o - 11098*o - 22141*o - 15720*o.
-38246*o
Collect the terms in 21*a**3 - 138555 + 138555.
21*a**3
Collect the terms in -19 + 19 + 397*f + 41*f.
438*f
Collect the terms in -928 + 928 + 168*j**2.
168*j**2
Collect the terms in 5*q**2 - 108825*q + 54409*q + 54416*q.
5*q**2
Collect the terms in 1051 - 65*j**3 - 1051 + 78*j**3.
13*j**3
Collect the terms in -743*g**2 - 276*g**2 + 9*g**2.
-1010*g**2
Collect the terms in 6 - 4172*g - 31979*g - 6.
-36151*g
Collect the terms in -522 + q - 526 - 495 + 2061 - 519.
q - 1
Collect the terms in 947*m**3 + 140*m**3 + 602*m**3.
1689*m**3
Collect the terms in 46*v + 44*v - 122*v + 256 + 35*v - 256.
3*v
Collect the terms in -8*x**2 + 14*x**2 - 61*x + 25 + 61*x - 12*x**2.
-6*x**2 + 25
Collect the terms in 2685 - 5372 + 2685 - 658*i.
-658*i - 2
Collect the terms in -10*j**2 - 3 + 85*j**2 + 0*j**2 + 2.
75*j**2 - 1
Collect the terms in -32*y**2 - 65*y - 31*y**2 - 3*y**3 + 96*y**2 - 33*y**2.
-3*y**3 - 65*y
Collect the terms in 44*o - 9*o + 0*o - 37*o.
-2*o
Collect the terms in b - 34*b**2 - 144*b**2 + 172*b**2.
-6*b**2 + b
Collect the terms in 10*u**3 + 43447002*u + u**3 - 43447003*u.
11*u**3 - u
Collect the terms in 49 - 20 - 29 - 7246*x + 7244*x.
-2*x
Collect the terms in 3 + 465*g**3 + 7 - 10.
465*g**3
Collect the terms in 255389*o - 255389*o - 2*o**2.
-2*o**2
Collect the terms in 3 + 47 - 57 + 13*h**2 + 7.
13*h**2
Collect the terms in 192*t + 79*t + 122*t + 124*t.
517*t
Collect the terms in 26679*p**3 - 26625*p**3 + 4*p**2 - 3*p**2.
54*p**3 + p**2
Collect the terms in -223 + 219 - 2154*g + 2154*g + 4*g**2.
4*g**2 - 4
Collect the terms in -49 - 47 + 511*t + 91.
511*t - 5
Collect the terms in -27 + 5026*p + 10 - 4991*p + 17.
35*p
Collect the terms in 11161*l**2 + 11160*l**2 + 11179*l**2 + 11158*l**2 - 55816*l**2 + 11155*l**2.
-3*l**2
Collect the terms in -599*v - 594*v + 217*v**2 - 2*v**3 - 217*v**2 + 1193*v.
-2*v**3
Collect the terms in -39*o**2 - 29*o**2 - 30*o**2.
-98*o**2
Collect the terms in -151*t - 3*t**2 - 146*t + 646*t - 150*t - 199*t.
-3*t**2
Collect the terms in -3*q - 7*q - 8*q + 21*q + 8037.
3*q + 8037
Collect the terms in -3749 - 3755 + 7528 + x**3.
x**3 + 24
Collect the terms in -2777*k + 1477*k - 8*k**2 + 1300*k.
-8*k**2
Collect the terms in 350 + 24503*q**2 - 350.
24503*q**2
Collect the terms in 5*p**3 + 5*p**3 + 76*p - 40*p - 5*p**3 - 36*p.
5*p**3
Collect the terms in -9 + 139 - 117*a**2 - 135.
-117*a**2 - 5
Collect the terms in -5*s - 9*s + 7*s - 3*s - 3*s - s.
-14*s
Collect the terms in -105895*r + 52944*r + 52951*r + 26*r**2.
26*r**2
Collect the terms in -515*x + 259*x - 23*x**2 - 8*x**2 + 256*x.
-31*x**2
Collect the terms in 7*m**2 + 8*m**2 + 12*m**3 - 15*m**2 - 3*m**2 + 3*m**2.
12*m**3
Collect the terms in -103582*x + 51781*x + 51801*x + 7*x**2.
7*x**2
Collect the terms in 61912*u - 30958*u - 30953*u.
u
Collect the terms in 364*q**3 - 40*q**3 + 158*q**3.
482*q**3
Collect the terms in -285 + 14*f - 16*f + 4*f.
2*f - 285
Collect the terms in -241*d**2 + 86*d**2 - d + d - 119*d**2.
-274*d**2
Collect the terms in -21*q**2 - 6*q - 6*q - 70*q**2 + 2*q.
-91*q**2 - 10*q
Collect the terms in -116*m**2 + 37*m**3 + 112*m**2 - 6*m + 55*m**3 - 13*m.
92*m**3 - 4*m**2 - 19*m
Collect the terms in 1184*q**2 - 399*q**2 - 404*q**2 - 380*q**2.
q**2
Collect the terms in 10*p**3 - 56 + 4*p**3 - 185 - 2*p**3.
12*p**3 - 241
Collect the terms in 5188469*t + 5 - 5 - 5188546*t.
-77*t
Collect the terms in 94 + 101 + 7*n - 478 + 283.
7*n
Collect the terms in 20*v**2 - 2*v**3 + 73*v**2 - 16*v**2.
-2*v**3 + 77*v**2
Collect the terms in 2315 - 2315 - 208*z.
-208*z
Collect the terms in 531*s + 528*s - 1061*s.
-2*s
Collect the terms in -4 + 619*s + 827*s - 1458*s.
-12*s - 4
Collect the terms in 18*p**3 - 74361*p**2 + 74361*p**2 + 874*p**3 + 623*p**3.
1515*p**3
Collect the terms in -40 + 82 + 159*q - 44.
159*q - 2
Collect the terms in 4*u**3 - 20*u**3 - 1931*u + 1931*u + 17*u**3.
u**3
Collect the terms in 719*o**2 + 719*o**2 + 721*o**2 - 2159*o**2 + o**3.
o**3
Collect the terms in -16*b**3 + 15*b**3 - 10*b**3 - 6*b**3 - 4*b**3.
-21*b**3
Collect the terms in -311*c + 174*c + 145*c.
8*c
Collect the terms in 7*d**2 - 103*d - 103*d + 311*d - 105*d.
7*d**2
Collect the terms in 295*g + 326*g - 638*g.
-17*g
Collect the terms in 26*j + 384*j + 403*j - 223*j.
590*j
Collect the terms in 2*d**2 - 19026 + 6805 - 4*d**2.
-2*d**2 - 12221
Collect the terms in 0 + 0 + 193*v - 68*v - 63*v - 61*v.
v
Collect the terms in -5761 - 2*l + 5761 + l.
-l
Collect the terms in -28 + 5148*h - 25 + 46 - 5138*h.
10*h - 7
Collect the terms in -11 - 4*o**2 + 9*o**2 + 2*o**2 + 0*o**2 - 5*o**2.
2*o**2 - 11
Collect the terms in -3148 - p**2 + 2*p**2 + 3147.
p**2 - 1
Collect the terms in 25*x - 67*x - 26*x - 7*x.
-75*x
Collect the terms in -904*a - 891*a - 1 - 902*a + 2774*a.
77*a - 1
Collect the terms in -1645*k + 489 - 489.
-1645*k
Collect the terms in 21 - 18*h**3 + 0*h**3 - 749*h + 8*h**3 + 9*h**3.
-h**3 - 749*h + 21
Collect the terms in -232*y**2 + 0 + 0 + 221*y**2 + y.
-11*y**2 + y
Collect the terms in -12123857 + 12123857 - 10*x.
-10*x
Collect the terms in 625*p**3 -
|
{
"pile_set_name": "DM Mathematics"
}
|
16. What is the nearest to 1 in -0.2, x, 5?
-0.2
Let n = -0.94 + -0.06. Suppose j + 6 = 3*j. Let z be (-7)/6 - j/(-6). What is the closest to n in z, -2, 0.2?
z
Let z = -3 + 2.9. Suppose 3*p + 382 = -137. Let o = p + 1213/7. Which is the nearest to z? (a) -1/3 (b) 0 (c) o
b
Let g be (12/(-56))/((-3)/(-18)) + 1. Which is the closest to -1? (a) -2 (b) g (c) -1/3
c
Let m(x) = x + 3. Let o be m(0). Suppose h + 1 = o*l, 2*h + l + 3 = 6*l. Let q = 197/4 + -49. Which is the closest to q? (a) -0.5 (b) h (c) -2
a
Let t(r) = r**2 + 2*r - 2. Let h be t(1). Let p = -0.31 + 0.01. What is the nearest to h in 0.03, p, 3?
0.03
Let z = 1.119 + -0.119. Which is the nearest to z? (a) 0.11 (b) 3 (c) 1
c
Let w(z) = -2*z**2 - z. Let q be w(-1). Let m = -2 + 0. Which is the closest to q? (a) m (b) -0.1 (c) -1/2
c
Let n = -13 - -25. Suppose 3*j - n = -0*d + 3*d, 4*j - 3*d - 15 = 0. Let q(g) = -g**2 - 2*g + 19. Let l be q(-6). What is the closest to -1/4 in l, 3/2, j?
3/2
Let i = -0.11 + 0.06. Let s = 0.35 + i. Which is the nearest to -1? (a) s (b) -3 (c) 4/3
a
Let j = 818 - 9004/11. Which is the closest to -2? (a) 4 (b) -1 (c) j
b
Let q = 0.51 - -1.49. Which is the closest to 0? (a) -1 (b) q (c) 4
a
Suppose -7*z = -10*z + 3. What is the nearest to 0 in -3, -0.2, z?
-0.2
Let b = -4.6 + 4.4. What is the closest to 0 in -2/5, -3/8, b?
b
Let h = 35/3 - 12. Which is the closest to 4? (a) h (b) 4 (c) 2
b
Let q = 34 + -33. Let o = 1 - -3. What is the closest to 0 in q, -2, o?
q
Let t = 1157/7 - 165. Let i = -5.08 + 5. Let d = i - -5.08. Which is the closest to t? (a) -3 (b) 0.2 (c) d
b
Suppose 32 = 4*u - 4. Let w(m) = -m**3 + 8*m**2 + 10*m - 5. Let x be w(u). Which is the closest to -1? (a) -0.1 (b) -2/9 (c) x
b
Let m be 2 + (1 - (-40)/(-12)). Let p be ((-2)/16)/((-3)/(-6)). What is the nearest to m in 4, 5, p?
p
Let i = 3.5 + -3. Let t = 3 - 2.5. Let s = 1.5 - t. Which is the closest to 1? (a) -0.5 (b) i (c) s
c
Let j = 9 - 5. Suppose 3 - 6 = 3*t - 3*g, -t + j*g = 4. Let v = 167 + -1001/6. Which is the closest to t? (a) v (b) -0.1 (c) -3
b
Let o = 41 + -43. Let w be 2*(-3)/99*-3. Suppose 3*g - 4 = -1. What is the closest to o in 0.4, w, g?
w
Let j = -19 + 20. What is the nearest to j in 2, 0.4, -1?
0.4
Suppose -2*j - 16 = 2*j. Let z be j/(-8) + 0 + -1. Which is the closest to -0.1? (a) 2/3 (b) z (c) -1
b
Let n = 29 + -30. Which is the nearest to 1? (a) -12 (b) n (c) -2/3
c
Let d = 0.3 + -0.2. Let k = -1.3 - -0.3. Let x = 0 - -4. Which is the nearest to d? (a) x (b) k (c) 1
c
Let m(a) = 2*a - 4. Let h be m(8). Let v be ((-26)/h + 2)*-2. What is the closest to 1 in -0.4, v, -2/3?
v
Let m = -66 - -62. Let o be (27/24)/3*-1. What is the closest to 1 in 0.1, o, m?
0.1
Let d = -68.6 - -69. What is the nearest to 2 in d, 5, 3?
3
Let c = 29 - 21. Let k = c + -1. Let q = k - 3. What is the nearest to -1 in q, -0.4, 1/7?
-0.4
Let m = -2/45 - 41/90. Let i = 1.8 - 2. Which is the nearest to m? (a) -0.3 (b) 1/3 (c) i
a
Let y = -0.2 - 0.3. Let b = -0.01 - 0.19. Let o = 0.3 - b. What is the nearest to -1 in o, 2, y?
y
Let v = -6.4 - 1.6. Let z = -5.9 - v. Let u = 2 - z. What is the nearest to u in -2/9, -5, 4?
-2/9
Let q = -598/7 - -85. Which is the nearest to 0? (a) q (b) 2/3 (c) 0.3
c
Let p = -90 + 91. Let u = 6 + -6.3. What is the closest to p in 1/3, u, -4?
1/3
Suppose -17 = 5*x - i, -3 = -4*i + 5. Let r be ((-1)/(-9))/((-1)/x). Let m be (1/10)/((-4)/5). Which is the closest to -2/3? (a) -0.2 (b) m (c) r
a
Let u = 1.7 + -3.6. Let x = 2 + u. Let k = -0.1 - 0. Which is the closest to x? (a) 1 (b) 3 (c) k
c
Let p = -0.88 + -4.42. Let f = -5 - p. Let r = -1685/6 - -280. What is the closest to -1 in r, 1, f?
r
Let x = -2 - -1. Let m = x - -1. Let y = -8 - -6. What is the closest to m in y, -0.2, 1/3?
-0.2
Let u = 0.1 + -0.2. Let l = -262/1649 + 4/97. Which is the closest to u? (a) l (b) -1/3 (c) -3
a
Let y = 0.02 - -0.08. What is the nearest to 2 in 2, y, 4?
2
Let n = -4.95 - -5. Let g = n + -2.05. What is the nearest to -1 in 1, g, -0.3?
-0.3
Let f = 9 + -8. Let o be 4/(-5) + 8/12. Which is the closest to -2/5? (a) o (b) f (c) 5
a
Let w = 1.4 - 1. Let u = 4 - 6. Let l = -22 + 23. What is the nearest to l in w, 3/4, u?
3/4
Let u = 1.85 + 0.15. Let c be (-1*3)/((-5)/(-1)). Let s(y) = y**2 + 4*y + 4. Let q be s(-3). What is the nearest to q in u, 3, c?
u
Suppose -12 = -c - 3*n + 22, 4*c - 110 = n. Let y = c - 56. Let s be (-1)/(-3) + y/66. What is the closest to -2/5 in -1/3, s, 5?
-1/3
Let c be (-7)/(-24) + 12/(-18). What is the closest to 2/5 in -3, -1/7, c?
-1/7
Let u = -6 - -5.5. Let p = 3 + -2. Which is the nearest to p? (a) u (b) 4 (c) -0.3
c
Let f = 151 - 147.08. Let x = f + 0.08. Let j be 28/(-36) + (-4)/18. Which is the closest to 0.1? (a) 3 (b) j (c) x
b
Let a = 2.7 + -3. Let u = -1.3 - a. Let c = -7.7 - -8. What is the nearest to -0.1 in u, 2, c?
c
Let k = -4.2 - -0.2. Let f be -3 + 4/(12/9). Let h be f - (-2)/4*-2. Which is the nearest to 0.1? (a) k (b) h (c) 1/5
c
Let s = -66.1 - -66. Which is the nearest to 0? (a) s (b) 0.2 (c) -3
a
Let k = 5.3 - 4.9. What is the closest to 0 in 3, 0.1, k?
0.1
Let r = 1 + -4. Let l = r + 3.2. What is the nearest to 0 in -2, -5, l?
l
Let f(t) = -t**2 + 10*t + 10. Let s be f(11). Which is the nearest to 0? (a) -2/5 (b) s (c) 2/9
c
Suppose -1 + 0 = 2*j + 3*y, 0 = -2*j + 3*y + 17. Let i = j - 4. Suppose -1 = -d - i. What is the nearest to d in -5, 0, 4?
0
Let d = 54.3 + -54. Let s be 3/7*2/(-3). Which is the closest to s? (a) -0.5 (b) d (c) 2/7
a
Let x(p) = 2*p - 14. Let m be x(6). What is the nearest to 0.3 in m, -5, 4/7?
4/7
Let s = 0.8 + 4.2. Let y(x) = x**3 - x**2 - 5*x - 1. Let n be y(-2). Which is the nearest to 0.1? (a) n (b) -1/4 (c) s
b
Let t = 21 - -4. Suppose 0 = 2*y - 5*g - t, -3*y + 66 - 16 = 5*g. Suppose -3*h - 3*l - y = 0, 2*l = 4*h - 2*l + 12. What is the closest to 0 in -3/4, h, -5?
-3/4
Let n = -190 - -1712/9. Let h = 41 - 41.5. Let x(g) = -g - 2. Let z be x(-3). Which is the nearest to 2/3? (a) z (b) n (c) h
a
Suppose -g - 39 = -36. Which is the nearest to g? (a) 0.5 (b) -0.4 (c) -1
c
Let k = 0.9 + -1.2. Suppose 0 = -3*v - v + 4. Let s be (-1 - v) + (-21)/(-9). What is the closest to 1/6 in k, s, -0.2?
s
Let o be 4*(-1)/(-6)*6. Let r = -7 + 7. Let z = 6/29 - 53/116. Which is the nearest to z? (a) o (b) -2 (c) r
c
Let a = 0.334 + -0.034. What is the closest to 0.4 in a, -2, 0.1?
a
Let g = 0.3 - 0.2. Let k = -235/4 - -59. Which is the closest to g? (a) -1/3 (b) 5 (c) k
c
Let g = -3.1 + 0.1. What is the closest to g in 0.2, -3, 3/4?
-3
Suppose -4*p + m = 0, 5*p - p = 3*m. Let u = 38.3 - 38. Which is the nearest to p? (a) -4 (b) 2 (c) u
c
Let s = -1.4 + 1.4. Let f be (1 - -2) + 1*-2. What is the nearest to -2/5 in f, s, -2?
s
Let m = 122 + -122. Which is the nearest to m? (a) 0.5 (b) 3/7 (c) 4
b
Let l = -10 - -18.2. Let m = -1.2 + l. Let p = 3 - m. Which is the closest to 1? (a) -3 (b) 4 (c) p
b
Let p = 13/21 - 2/7. What is the nearest to p in 2/11, -0.4, -0.3?
2/11
Let l be 16/(-9) + 2 + 0. Let d = -34 + 32. What is the nearest to -0.1 in d, 4, l?
l
Let q be ((-2)/3)/(7/3). Let d be (1/(3/(-12)))/5. Which is the closest to q? (a) 1/3 (b) -2/7 (c) d
b
Let f(j) = j**3 + 6*j**2 + j + 7. Let t be f(-6). Let v = 0.06 + -0.46. Let r = 0.5 + v. Which is the nearest to t? (a) r (b) -2 (c) -4
a
Let h = -8 - -14. Let z = -9 + h. What is the closest to 3 in z, -1/3, -1?
-1/3
Let g = 5 - 9. Let y = 15 - 14. What is the nearest to 0.1 in -2/5, g, y?
-2/5
Let f be (1/(-7))/((-18)/21). Let q = 7 - 3. Which is the nearest to -0.1? (a) q (b) f (c) -1
b
Let s be 3/2 + 2/4. Let z be s/6 - (-33)/(-45). Let i = 2 + 0. What is the closest to z in -1, 0.3, i?
-1
Let k = 12 + -15. Let d be 2 + 0 + -5 - -2. Which is the nearest to d? (a) -2/11 (b) k (c) -0.5
c
Let r = -0.3 - 12.7. Let v = 13 + r. What is the nearest to 1 in 0.01, v, -0.5?
0.01
Let j = -0.16 - -1.16. Which is the closest to j? (a) -2 (b) -0.3 (c) 2
c
Let n = -1 - -1.2. Let k be 3/45 + (-1)/(-3). Which is the closest to k? (a) n (b) 2/23 (c) 0.3
c
Suppose 0 = -2*u + u + 2. Suppose -10 = -2*z - 3*w, -u*z - 9 = -z - 2*w. Let n = -7 - -2. What is the nearest to -1 i
|
{
"pile_set_name": "DM Mathematics"
}
|
hat is the remainder when 4444 is divided by 4119?
325
Calculate the remainder when 2648127 is divided by 73559.
3
Calculate the remainder when 1559219 is divided by 1750.
1719
What is the remainder when 117581 is divided by 108?
77
What is the remainder when 33893333 is divided by 211?
192
What is the remainder when 1797 is divided by 28?
5
Calculate the remainder when 14130194 is divided by 70.
64
Calculate the remainder when 1114370 is divided by 2198.
2182
What is the remainder when 222573 is divided by 91?
78
What is the remainder when 4078395 is divided by 95?
45
What is the remainder when 8800660 is divided by 410?
10
What is the remainder when 4712731 is divided by 117818?
11
What is the remainder when 2006101 is divided by 2281?
1102
Calculate the remainder when 595070 is divided by 854.
686
What is the remainder when 9598481 is divided by 739?
349
Calculate the remainder when 139280 is divided by 139261.
19
Calculate the remainder when 2177031 is divided by 3.
0
What is the remainder when 13447528 is divided by 189?
178
Calculate the remainder when 4220460 is divided by 61.
53
Calculate the remainder when 350989 is divided by 34143.
9559
What is the remainder when 32665261 is divided by 223?
221
What is the remainder when 1124615 is divided by 166?
131
What is the remainder when 61488246 is divided by 58?
10
What is the remainder when 1122523 is divided by 1057?
1046
What is the remainder when 1200664 is divided by 182?
10
Calculate the remainder when 2644791 is divided by 43357.
14
Calculate the remainder when 52252 is divided by 3296.
2812
What is the remainder when 1236438 is divided by 673?
137
Calculate the remainder when 520962 is divided by 15322.
14
What is the remainder when 7774836 is divided by 7017?
0
Calculate the remainder when 48235 is divided by 4577.
2465
What is the remainder when 34238300 is divided by 11?
8
Calculate the remainder when 20306 is divided by 1245.
386
Calculate the remainder when 77541514 is divided by 524.
518
What is the remainder when 26791 is divided by 261?
169
What is the remainder when 320970 is divided by 7876?
5930
Calculate the remainder when 56353868 is divided by 230.
188
What is the remainder when 28529109 is divided by 2?
1
What is the remainder when 2513550 is divided by 125677?
10
What is the remainder when 120574 is divided by 8561?
720
Calculate the remainder when 790477 is divided by 32.
13
Calculate the remainder when 3856814 is divided by 331.
2
What is the remainder when 14051126 is divided by 3097?
37
Calculate the remainder when 54729306 is divided by 38.
34
What is the remainder when 3280302 is divided by 372?
6
What is the remainder when 6448390 is divided by 183?
19
What is the remainder when 48348116 is divided by 7836?
7832
What is the remainder when 11609558 is divided by 69937?
16
Calculate the remainder when 259850356 is divided by 379.
376
What is the remainder when 917277 is divided by 6156?
33
Calculate the remainder when 60543 is divided by 2013.
153
What is the remainder when 27302675 is divided by 770?
15
Calculate the remainder when 421976 is divided by 421959.
17
What is the remainder when 15771591 is divided by 337?
328
What is the remainder when 344462379 is divided by 1383383?
12
Calculate the remainder when 1964272 is divided by 27.
22
Calculate the remainder when 965362 is divided by 19675.
1287
Calculate the remainder when 422905 is divided by 328.
113
What is the remainder when 2615243 is divided by 30?
23
What is the remainder when 2888 is divided by 2505?
383
What is the remainder when 6557140 is divided by 8?
4
Calculate the remainder when 1096680 is divided by 13213.
1
Calculate the remainder when 8093687 is divided by 60.
47
Calculate the remainder when 10639716 is divided by 425588.
16
Calculate the remainder when 12420974 is divided by 39.
20
Calculate the remainder when 4649166 is divided by 2324576.
14
Calculate the remainder when 6828184 is divided by 1008.
1000
What is the remainder when 3028751 is divided by 1514199?
353
What is the remainder when 379131288 is divided by 970?
968
What is the remainder when 145875 is divided by 16124?
759
What is the remainder when 7136593 is divided by 13?
9
What is the remainder when 48547231 is divided by 13?
5
Calculate the remainder when 983671 is divided by 982984.
687
What is the remainder when 950231 is divided by 411?
410
Calculate the remainder when 7021624 is divided by 1360.
1304
What is the remainder when 503898 is divided by 167383?
1749
What is the remainder when 269793 is divided by 4649?
151
What is the remainder when 226821 is divided by 225079?
1742
Calculate the remainder when 885718 is divided by 143.
119
Calculate the remainder when 2274368 is divided by 5729.
5684
What is the remainder when 628006649 is divided by 7?
4
Calculate the remainder when 2769944 is divided by 27.
14
Calculate the remainder when 84636 is divided by 437.
295
Calculate the remainder when 7896703 is divided by 19.
18
What is the remainder when 20075933 is divided by 236?
121
Calculate the remainder when 1313743 is divided by 77.
46
What is the remainder when 303518145 is divided by 2307?
2304
What is the remainder when 110495 is divided by 338?
307
Calculate the remainder when 2699 is divided by 898.
5
Calculate the remainder when 170306 is divided by 14.
10
What is the remainder when 72332835 is divided by 6?
3
Calculate the remainder when 98368058 is divided by 134.
132
Calculate the remainder when 13085 is divided by 2680.
2365
What is the remainder when 165343 is divided by 1573?
178
Calculate the remainder when 433917 is divided by 97.
36
What is the remainder when 4220 is divided by 2057?
106
Calculate the remainder when 11039495 is divided by 1822.
1819
Calculate the remainder when 392556 is divided by 1014.
138
What is the remainder when 1330486 is divided by 1351?
1102
What is the remainder when 23391 is divided by 3877?
129
Calculate the remainder when 67140232 is divided by 2486675.
7
Calculate the remainder when 6182745 is divided by 476.
457
What is the remainder when 10415133 is divided by 69?
66
What is the remainder when 103189 is divided by 35?
9
Calculate the remainder when 1459458 is divided by 729252.
954
What is the remainder when 25359 is divided by 2133?
1896
What is the remainder when 543565 is divided by 765?
415
Calculate the remainder when 20511 is divided by 523.
114
What is the remainder when 1017267 is divided by 508489?
289
Calculate the remainder when 3683563 is divided by 49.
37
Calculate the remainder when 55451 is divided by 1988.
1775
Calculate the remainder when 542011324 is divided by 151.
146
What is the remainder when 20921 is divided by 1064?
705
Calculate the remainder when 7739888 is divided by 1443.
1079
Calculate the remainder when 10435 is divided by 2037.
250
What is the remainder when 532618 is divided by 2333?
694
Calculate the remainder when 11595744 is divided by 365.
59
What is the remainder when 1122136 is divided by 1810?
1746
Calculate the remainder when 16855411 is divided by 227775.
61
What is the remainder when 377875 is divided by 188493?
889
Calculate the remainder when 540171 is divided by 553.
443
What is the remainder when 44990927 is divided by 12?
11
What is the remainder when 13140570 is divided by 163?
162
Calculate the remainder when 440007773 is divided by 222.
221
What is the remainder when 680496 is divided by 209?
201
What is the remainder when 592023 is divided by 56?
47
What is the remainder when 79185 is divided by 79149?
36
Calculate the remainder when 24031525 is divided by 804.
769
Calculate the remainder when 3302433 is divided by 11271.
30
Calculate the remainder when 5498 is divided by 1340.
138
What is the remainder when 45577944 is divided by 476?
468
What is the remainder when 32997 is divided by 32931?
66
Calculate the remainder when 4863897 is divided by 1569.
1566
What is the remainder when 7003766 is divided by 1958?
0
Calculate the remainder when 64221 is divided by 2602.
1773
What is the remainder when 555103179 is divided by 39?
33
What is the remainder when 16845 is divided by 79?
18
Calculate the remainder when 1699615 is divided by 5992.
3879
What is the remainder when 181054620 is divided by 59754?
0
What is the rema
|
{
"pile_set_name": "DM Mathematics"
}
|
m {z: 2, o: 2, p: 1, c: 1, k: 1, y: 1}?
1/28
Calculate prob of picking 1 y, 1 d, and 2 j when four letters picked without replacement from dkysyiyskjdjdksdydyk.
5/969
Calculate prob of picking 2 f and 1 r when three letters picked without replacement from {e: 2, v: 6, r: 3, f: 1, g: 5}.
0
Calculate prob of picking 3 v when three letters picked without replacement from yvyvvvvvvvvvvvvvvv.
35/51
Two letters picked without replacement from {x: 1, r: 8, b: 1, n: 7, p: 2}. Give prob of picking 2 n.
7/57
What is prob of picking 2 s and 1 z when three letters picked without replacement from {z: 2, k: 2, h: 1, s: 9}?
18/91
Two letters picked without replacement from uuuuduuuukuuuuuod. Give prob of picking 1 o and 1 k.
1/136
Three letters picked without replacement from {p: 3, k: 1, l: 1, c: 4, f: 5}. What is prob of picking 2 c and 1 f?
15/182
What is prob of picking 1 e, 1 x, and 1 c when three letters picked without replacement from cnbbexdedcnn?
1/55
Four letters picked without replacement from wgwwgwwwwgwwwcc. Give prob of picking 3 w and 1 g.
24/91
Two letters picked without replacement from {d: 4, p: 4, x: 9}. Give prob of picking 2 p.
3/68
What is prob of picking 2 g when two letters picked without replacement from {g: 10, m: 1, v: 2, f: 1, k: 4}?
5/17
Two letters picked without replacement from {k: 2, x: 2, b: 1, s: 1, r: 1}. Give prob of picking 1 k and 1 s.
2/21
Two letters picked without replacement from {l: 5, m: 5}. Give prob of picking 2 l.
2/9
Calculate prob of picking 1 l and 1 e when two letters picked without replacement from {l: 3, i: 1, e: 3, h: 2, t: 1}.
1/5
Calculate prob of picking 1 w and 1 f when two letters picked without replacement from {w: 1, s: 1, j: 1, f: 2}.
1/5
Calculate prob of picking 1 v and 1 w when two letters picked without replacement from {y: 2, w: 8, h: 2, q: 1, v: 2, k: 4}.
16/171
Four letters picked without replacement from hcccccjjcc. Give prob of picking 3 c and 1 j.
1/3
Four letters picked without replacement from zzzvvzzzzvzzzzzzzz. What is prob of picking 3 z and 1 v?
91/204
Calculate prob of picking 1 e and 1 g when two letters picked without replacement from {r: 4, e: 3, g: 4, q: 7}.
4/51
Calculate prob of picking 1 z and 2 v when three letters picked without replacement from {v: 6, z: 6}.
9/22
Four letters picked without replacement from fqqfqffrfffffq. Give prob of picking 4 q.
1/1001
Three letters picked without replacement from hhvvhhvhvhhhv. Give prob of picking 3 v.
5/143
What is prob of picking 4 z when four letters picked without replacement from {z: 3, t: 6, d: 4}?
0
Three letters picked without replacement from skskksskkkks. What is prob of picking 3 k?
7/44
Three letters picked without replacement from gigfggfigfffgggggfg. What is prob of picking 3 g?
55/323
Four letters picked without replacement from qioqqfifqiiufii. Give prob of picking 1 u, 2 f, and 1 o.
1/455
Three letters picked without replacement from {q: 1, r: 5, j: 2, z: 8}. Give prob of picking 3 z.
1/10
Three letters picked without replacement from {d: 3, u: 5, c: 5}. What is prob of picking 2 u and 1 c?
25/143
Four letters picked without replacement from qquuwqu. What is prob of picking 1 u, 1 w, and 2 q?
9/35
What is prob of picking 1 o and 1 t when two letters picked without replacement from {o: 2, c: 4, t: 1, a: 1, z: 1}?
1/18
Two letters picked without replacement from {x: 2, i: 2, j: 1, n: 1, m: 5, o: 4}. Give prob of picking 1 m and 1 o.
4/21
Four letters picked without replacement from ooooeeeo. What is prob of picking 1 e and 3 o?
3/7
Four letters picked without replacement from sssssssss. What is prob of picking 4 s?
1
Two letters picked without replacement from ggkgemmeeeggekmeeex. What is prob of picking 1 e and 1 k?
16/171
What is prob of picking 1 n and 1 g when two letters picked without replacement from frnfngn?
1/7
Three letters picked without replacement from {q: 1, v: 6, o: 3, f: 3, h: 1, j: 1}. What is prob of picking 2 f and 1 j?
3/455
Calculate prob of picking 3 s when three letters picked without replacement from {q: 1, s: 3}.
1/4
Four letters picked without replacement from {o: 1, y: 3, h: 4, a: 2}. What is prob of picking 2 a and 2 h?
1/35
What is prob of picking 4 c when four letters picked without replacement from {c: 2, h: 16}?
0
Calculate prob of picking 1 m and 1 x when two letters picked without replacement from xmc.
1/3
Four letters picked without replacement from {x: 11, t: 6, w: 2}. What is prob of picking 2 x and 2 w?
55/3876
Calculate prob of picking 2 q and 1 p when three letters picked without replacement from {q: 3, p: 15}.
15/272
Two letters picked without replacement from {y: 1, m: 3, w: 4, l: 3}. What is prob of picking 1 m and 1 y?
3/55
Calculate prob of picking 3 z when three letters picked without replacement from {z: 3, a: 2, u: 3}.
1/56
Calculate prob of picking 1 g and 1 m when two letters picked without replacement from kumgkssgsgusmkksg.
1/17
Three letters picked without replacement from nqnxqdnnx. What is prob of picking 1 x, 1 q, and 1 d?
1/21
Calculate prob of picking 2 c when two letters picked without replacement from cppccpppccccccpccc.
22/51
Two letters picked without replacement from {u: 1, d: 2, z: 2}. What is prob of picking 1 d and 1 u?
1/5
Three letters picked without replacement from {t: 1, d: 1, h: 1, b: 2}. What is prob of picking 1 h, 1 t, and 1 d?
1/10
What is prob of picking 1 l, 1 p, and 1 y when three letters picked without replacement from {l: 1, p: 1, z: 4, o: 1, a: 1, y: 4}?
1/55
Three letters picked without replacement from {i: 3, d: 11}. Give prob of picking 3 d.
165/364
Four letters picked without replacement from {o: 6, m: 2, a: 1, n: 1, g: 2}. Give prob of picking 4 o.
1/33
Three letters picked without replacement from {n: 5, j: 3}. What is prob of picking 3 j?
1/56
What is prob of picking 1 x and 3 f when four letters picked without replacement from fffffufffxffjujfuufj?
44/969
Calculate prob of picking 3 h and 1 u when four letters picked without replacement from {u: 3, h: 5}.
3/7
Calculate prob of picking 3 g when three letters picked without replacement from {g: 16, w: 4}.
28/57
What is prob of picking 1 t and 1 h when two letters picked without replacement from {s: 1, h: 1, f: 2, t: 3, e: 3, d: 1}?
3/55
Four letters picked without replacement from jzzvjavbvjvzvbjjvjj. What is prob of picking 1 v, 2 j, and 1 z?
63/646
What is prob of picking 1 z and 2 f when three letters picked without replacement from ffffzzjjzzf?
8/33
Four letters picked without replacement from qzzzzdzqlqqzkzd. Give prob of picking 1 q, 2 d, and 1 z.
4/195
Four letters picked without replacement from {t: 1, p: 2, m: 2}. What is prob of picking 1 t, 2 p, and 1 m?
2/5
Calculate prob of picking 3 d and 1 x when four letters picked without replacement from dxdaddxdxwdddxxd.
3/13
Two letters picked without replacement from pppppxpppxpxpp. What is prob of picking 2 x?
3/91
Three letters picked without replacement from luuduluddlul. What is prob of picking 1 d, 1 l, and 1 u?
3/11
Calculate prob of picking 4 g when four letters picked without replacement from ozzozozoozzgooo.
0
Two letters picked without replacement from {b: 5, m: 14}. What is prob of picking 1 m and 1 b?
70/171
Calculate prob of picking 1 o, 1 k, and 2 e when four letters picked without replacement from {k: 2, a: 1, o: 4, e: 6}.
24/143
Two letters picked without replacement from {m: 4, v: 6}. Give prob of picking 1 v and 1 m.
8/15
Calculate prob of picking 2 q when two letters picked without replacement from {g: 11, q: 2}.
1/78
Three letters picked without replacement from {x: 1, a: 3, l: 4}. What is prob of picking 3 l?
1/14
Calculate prob of picking 4 s when four letters picked without replacement from {s: 6}.
1
Three letters picked without replacement from {t: 1, s: 1, y: 2, b: 2, l: 1}. What is prob of picking 1 l, 1 y, and 1 t?
2/35
What is prob of picking 1 u, 1 b, and 1 j when three letters picked without replacement from zzsbzuzj?
1/56
Three letters picked without replacement from {e: 1, p: 4, c: 4, r: 6, o: 1}. Give prob of picking 1 e, 1 p, and 1 o.
1/140
Three letters picked without replacement from {h: 2, f: 7}. What is prob of picking 1 h and 2 f?
1/2
Three letters picked without replacement from {r:
|
{
"pile_set_name": "DM Mathematics"
}
|
k(s) = 262*s**2 + 20465*s - 26193931. Let v(j) = 412*j**2 + 30697*j - 39290897. Let x(f) = 11*k(f) - 7*v(f). Factor x(u).
-2*(u - 2559)**2
Let z(o) be the first derivative of 4*o**3/27 - 3320*o**2/9 - 6644*o/9 + 9865. Factor z(v).
4*(v - 1661)*(v + 1)/9
Let y(x) = x**2 - 39*x - 35. Let d be y(-1). Let f(w) be the third derivative of 0 - 1/45*w**d + 0*w**3 - 11*w**2 - 2/9*w**4 + 0*w. Factor f(b).
-4*b*(b + 4)/3
Let g(u) be the first derivative of u**5/60 - u**4/24 + u**3/36 + 49*u + 59. Let w(h) be the first derivative of g(h). Let w(p) = 0. What is p?
0, 1/2, 1
Let h(m) be the second derivative of m**8/560 - m**7/56 + 7*m**6/120 - 3*m**5/40 + 71*m**3/6 + 3*m - 10. Let b(p) be the second derivative of h(p). Factor b(a).
3*a*(a - 3)*(a - 1)**2
Let r(s) be the second derivative of 2/3*s**6 - 19 - 5/42*s**7 + 0*s**2 - 5/2*s**4 - s - 1/4*s**5 + 0*s**3. Suppose r(i) = 0. What is i?
-1, 0, 2, 3
Let n(x) = 3*x**3 + 39*x**2 - 202*x - 882. Let o(g) = -3*g**3 - 39*g**2 + 204*g + 891. Let w(s) = 3*n(s) + 2*o(s). Factor w(t).
3*(t - 6)*(t + 3)*(t + 16)
Let a(c) = 7*c - 5 - 62*c**2 - 55*c**2 + 12 - 2*c. Let i(s) = 59*s**2 - 3*s - 4. Let y(x) = -4*a(x) - 7*i(x). Factor y(j).
j*(55*j + 1)
Let o be (748/88)/(714/24). Factor -2/7*t**2 - o*t + 0.
-2*t*(t + 1)/7
Let k = 25466 + -101861/4. Let i(b) be the first derivative of 2*b**3 + 1/2*b**6 + 0*b**2 + 0*b - 18 - 6/5*b**5 - k*b**4. Factor i(v).
3*v**2*(v - 2)*(v - 1)*(v + 1)
Suppose 4*n = p + 9, -1418*n + 1417*n + 18 = 5*p. Let q(i) be the first derivative of -3*i**2 - 34 + 3/10*i**5 - 9/2*i + 3/2*i**4 + i**p. Solve q(j) = 0.
-3, -1, 1
Let x(c) = 310*c**2 + 35400*c - 186000. Let u(d) = -5*d**2 - 571*d + 3000. Let k(z) = -125*u(z) - 2*x(z). Find q, given that k(q) = 0.
-120, 5
Let h = 280462 + -280460. Factor -30/7 - 2/7*w**h - 32/7*w.
-2*(w + 1)*(w + 15)/7
Let b(o) be the first derivative of -14*o**3/9 + 334*o**2/3 + 64*o + 212. Solve b(v) = 0 for v.
-2/7, 48
Let u(z) be the first derivative of 5*z**4/4 + 5*z**3/3 - 115*z**2 + 400*z - 8926. Solve u(j) = 0.
-8, 2, 5
Let t(v) be the first derivative of -3*v**5/20 + 3*v**4/4 - v**3 + 358. Suppose t(l) = 0. What is l?
0, 2
Let n = -4147 + 4147. Let c(g) be the third derivative of -1/30*g**6 - 1/3*g**4 + 0*g**3 + 12*g**2 + 0 - 1/5*g**5 + n*g. Factor c(i).
-4*i*(i + 1)*(i + 2)
Let l = -272821 + 272821. Find t, given that -2/9*t**2 + 28/9*t + l = 0.
0, 14
Let y(d) be the first derivative of d**6/39 - 54*d**5/65 + 75*d**4/26 - 146*d**3/39 + 24*d**2/13 - 1239. Factor y(s).
2*s*(s - 24)*(s - 1)**3/13
Let f(w) be the second derivative of -w**7/840 - w**6/40 + 2*w**5/5 + 26*w**4/3 + 13*w. Let t(j) be the third derivative of f(j). Find b such that t(b) = 0.
-8, 2
Suppose -1099*w = -1082*w - 833. Let p be 5 + (1512/w)/(-8). Solve -8/7*m - 6/7 + 2/7*m**4 + 4/7*m**2 + p*m**3 = 0 for m.
-3, -1, 1
Suppose 0 = 6*l + 4*b - 32, -l + b + 130 = 133. Suppose -1/3 - 16/3*x**l - 8/3*x = 0. Calculate x.
-1/4
Suppose 2/19*a**3 + 28/19*a**2 + 32/19 - 62/19*a = 0. Calculate a.
-16, 1
Let z(y) be the first derivative of -4*y**3/9 - 968*y**2/3 + 1940*y/3 + 1509. Factor z(m).
-4*(m - 1)*(m + 485)/3
Factor 28/5*m**4 + 1628/5*m + 1/5*m**5 + 968/5 + 998/5*m**2 + 53*m**3.
(m + 2)**3*(m + 11)**2/5
Let l(s) = 2*s**2 + 37*s + 567. Let w(z) = -z**2 - 19*z - 283. Let d(v) = -4*l(v) - 9*w(v). Let k be d(-11). Factor k + 63/2*b + 3/2*b**3 - 18*b**2.
3*(b - 7)**2*(b + 2)/2
Factor 230*q**3 + q**4 + 423*q**3 + 456*q - 1109*q - q**2.
q*(q - 1)*(q + 1)*(q + 653)
Let q = 93190 - 93190. Factor 3/2*y**3 + q - 9/2*y**2 + 5/2*y + 1/2*y**4.
y*(y - 1)**2*(y + 5)/2
Let v(f) be the third derivative of -f**6/30 - 19*f**5/15 - 83*f**4/6 - 130*f**3/3 + 16*f**2 + 21*f. Factor v(s).
-4*(s + 1)*(s + 5)*(s + 13)
Suppose -19*d + 15*d + 36 = 0. Let v = -7 + d. Factor -5*x + 35*x + 2*x**2 + 3*x**v.
5*x*(x + 6)
Let g = 497 + -328. Factor -g*w**3 + 2600*w**2 - 7*w**3 + 2304*w + 4*w**5 - 2216*w**2 - 16*w**4.
4*w*(w - 6)**2*(w + 4)**2
Let 98*t**2 + 207 + t**5 - 106 - 50*t**4 - 101 - 2*t**5 - 47*t**3 = 0. What is t?
-49, -2, 0, 1
Let q = 2/2613915 - -8713048/2613915. Suppose -10/3*w + q*w**2 + 5/6*w**3 - 40/3 = 0. What is w?
-4, -2, 2
Factor -2/3*l**3 + 194*l**2 - 13410*l - 310814/3.
-2*(l - 149)**2*(l + 7)/3
Solve 2/11*y**2 + 342792/11 + 1656/11*y = 0 for y.
-414
Let b(d) = -2*d**2 + d + 1. Let u(i) = -5*i**2 - 21*i + 26. Let o(n) = 4*b(n) - 2*u(n). Let o(m) = 0. Calculate m.
-24, 1
Let q(j) be the second derivative of -j**6/180 + j**4/4 + 115*j**2 - 136*j. Let r(i) be the first derivative of q(i). Find a such that r(a) = 0.
-3, 0, 3
Let g(a) be the first derivative of -9/7*a + 10 + 1/7*a**3 + 3/7*a**2. Factor g(o).
3*(o - 1)*(o + 3)/7
Suppose -2*v = -3*i, -5*i - 70*v = -73*v. Suppose -3*l + 2*j = 0, 12*j - 17*j + 15 = i. Factor -2/5*h**3 + 0 - 8/5*h + 8/5*h**l.
-2*h*(h - 2)**2/5
Let g(v) be the first derivative of -4*v**3/27 - 308*v**2/9 + 620*v/9 + 192. Determine r so that g(r) = 0.
-155, 1
Let s(f) be the second derivative of -3*f**5/100 - 178*f**4/15 - 79*f**3/10 + 18*f - 37. Solve s(t) = 0.
-237, -1/3, 0
Let o = 507 - 499. Determine s so that 253*s**3 + o*s + 6*s**2 - 18 - 256*s**3 + 7*s = 0.
-2, 1, 3
Suppose 5*c = -4*r + 215, r + 217 - 24 = 4*c. Let m = c - 44. Solve 10*n**m - 18*n**5 - 3*n - 68*n**2 + 3*n - 6*n**4 + 66*n**2 = 0.
-1, 0, 1/3
Solve -442*h**3 + 1750*h**3 - 433*h**3 - 441*h**3 - 435*h**3 - 674*h + 139*h**2 + 536 = 0 for h.
1, 4, 134
Let o(n) be the second derivative of -n**4/8 + 113*n**3/4 + 345*n**2/2 + 7*n - 42. Factor o(q).
-3*(q - 115)*(q + 2)/2
Suppose -30*i + 140 = -16*i. Factor 35*s**2 + 42*s**4 - 126*s**4 - 2*s - 8*s + 49*s**4 + i*s**3.
-5*s*(s - 1)*(s + 1)*(7*s - 2)
Let n(o) = -9*o - 9. Let j be n(-3). Let b = j - 16. Factor -3*l**4 - 5*l + l + 11*l**2 - b - 11*l**3 + 3*l + 6*l**4.
(l - 2)*(l - 1)**2*(3*l + 1)
Factor 3/2*h**2 + 0 - 858*h.
3*h*(h - 572)/2
Determine l, given that 4/7*l**3 + 117128/7 - 960/7*l**2 + 56628/7*l = 0.
-2, 121
Suppose -4*q - 140 = -3*u - 18, 4*q = -5*u + 118. Let i(b) be the first derivative of 3/7*b**2 - 1/3*b**3 + 1/28*b**4 - u + 0*b. What is t in i(t) = 0?
0, 1, 6
Let q = 105/227 - 88/681. Determine n, given that -2/3*n - 11/6*n**3 + 3*n**2 - 4/3 + q*n**4 = 0.
-1/2, 2
Let m(v) be the third derivative of -9*v**8/224 - 59*v**7/140 - 14*v**6/9 - 37*v**5/30 + 8*v**4 + 256*v**3/9 - v**2 - 907*v. Suppose m(r) = 0. Calculate r.
-2, -16/9, 1
Let v(r) be the second derivative of -4*r + 0*r**2 + 4 - 1/35*r**5 + 1/210*r**6 - 1/21*r**3 + 5/84*r**4. Factor v(n).
n*(n - 2)*(n - 1)**2/7
Let b(v) be the third derivative of 1/10*v**5 + 0 - 10/19*v**4 - 7/1140*v**6 + 180*v**2 + 0*v + 16/57*v**3. Solve b(u) = 0 for u.
1/7, 4
Let i(l) be the first derivative of l**5/90 - l**4/27 - 7*l**3/27 - 4*l**2/9 - l - 27. Let c(j) be the first derivative of i(j). Suppose c(k) = 0. Calculate k.
-1, 4
Let u be (-33)/9*1788/(-3278). Factor -4/7*v**u - 252 - 24*v.
-4*(v + 21)**2/7
Factor 192/5*u - 816/5 + 3/5*u**2.
3*(u - 4)*(u + 68)/5
Let w(f) be the second derivative of -f**7/63 + 3*f**6/10 - 91*f**5/60 + 687*f. Suppose w(u) = 0. What is u?
0, 13/2, 7
Factor 1/2*a**2 - 237*a + 940.
(a - 470)*(a - 4)/2
Find w, given that -18*w - 12*w**3 - 27*w**3 + 46*w**3 - 65*w**2 - 14*w**3 = 0.
-9, -2/7, 0
Factor 9/2*n**2 + 1/2*n**4 + 0 + 6*n**3 - 11*n.
n*(n - 1)*(n + 2)*(n + 11)/2
Let n(o) = o**2 - 20*o + 95. Let i be n(13). Let l(c) = -c**2 - 13*c - 14. Let s be l(-11). Factor 192 + s*z**2 - 48*z - z**2 - i*z**2.
3*(z - 8)**2
Let y(o) be the second derivative of 1/8*o**4 + 0 - o**2 - 15*o + 1/60*o**6 - 1/10*o**5 + 1/3*o**3. Factor y(m).
(m - 2)**2*(m - 1)*(m + 1)/2
Let c be (-7)/(-1960)*3661 - 13. Let w(s) be the first derivative of -11 + 1/4*s**3 + 3/4*s**2 + c*s**5 - 9/8*s - 3/8*s**4. Find r such that w(r) = 0.
-1, 1, 3
Suppose 7*d = 6*d + 31*d. Let o(n) be the third derivative of n**2 + d - 1/6*n**3 - 1/120*n**6 - 1/8*n**4 + 0*n - 1/20*n**5. Factor o(c).
-(c + 1)**3
Let h(r) = r**3 + 7*r**2 + 2*r + 6. Let i be h(-6). Factor -27*u**2 + i*u**2 - 12*u - 7 - 8.
3*(u - 5)*(u + 1)
Let h(b) = -33*b - 294. Let x be h(-9). Suppose u = x*k - 3, -6*k - 4*u = -k + 12. Suppose k + 0*j - 1/3*j**2 = 0. Calculate j.
0
Let i be -6*(0 - -2)*(20/8)/(-5). Let q(n) be the first derivative of n**4 - 42 + 14/45*n**5 + 44/27*n**3 + 13/9*n
|
{
"pile_set_name": "DM Mathematics"
}
|
i.
-4
Suppose 0 = 4*p - 2*j - 28, -j = 7*p - 2*p - 21. Solve p*a = 2*w + 3*w + 50, 5*a - 30 = w for a.
5
Let b(t) = -t**2 + 4*t. Let p be b(3). Solve p*d = a + a - 2, -12 = -2*a - 2*d for a.
4
Let m(y) = 6*y - 15. Let t(w) = 5*w - 14. Let u(j) = 4*m(j) - 5*t(j). Let f be u(8). Solve -1 = -5*p - 2*r, 0 = -0*p - f*p + 3*r + 8 for p.
1
Suppose 3*p + 2*v = 16, -1 - 7 = -4*p + 4*v. Solve -5*r - 4*b - 28 = 0, 2*r + r = p*b - 4 for r.
-4
Suppose 2*g = 9 + 1. Solve -g*o = -5*l, 2*l + 2*o = 7*l for l.
0
Let d = -22 + 27. Suppose -d*w + 34 = -4*w. Solve m - 3*n = 18, -5*m + w = -2*m - 5*n for m.
3
Suppose 5*o - 3*u = -8 + 30, 5*u = -3*o - 14. Solve 4*r = -4*f - 12, 0 = r + o*f - 3*f - 1 for r.
-1
Suppose 0 = 3*i - 12 + 3. Let z be (-78)/130 - (-23)/5. Solve -i*n - 8 = -z*w - 2*n, -3*w = 4*n - 6 for w.
2
Let u(b) = -b**3 - 4*b**2 + 5*b + 7. Let z be u(-5). Let r be (-2)/1 + z + -1. Solve 5*x = -r*i + 33, 2 = 2*x - 8 for i.
2
Suppose 6*p = -4*h + 2*p - 12, h + 11 = -3*p. Let s be (-2)/(h + 1 - 1). Let n be s/(-4) + 14/4. Solve 6 = 2*u - 3*g, 0 = 4*u - 4*g - n for u.
-3
Let c(p) = -p - 2. Let h be c(-4). Solve -3*s + 11 = 2*r, -h*s - 2*r + 1 = -s for s.
5
Let k(x) = 3*x**2 - 3*x**2 - 3*x**2 + 3*x - x**3 + 3. Let i be k(-4). Suppose 15 = 7*z - 20. Solve 4*q = f + 4, 0 = -4*q - z*f - 13 - i for q.
0
Let y(n) = n - 6. Let r be y(8). Solve 2*b - 2*t = -20, -20 - 15 = r*b - 5*t for b.
-5
Suppose 3*z = 4*b - 14, z - 20 = -2*b - 8. Solve -b*y = -4*o + 22, -15 = y + 2*y - 3*o for y.
-2
Let f be (-51)/(-12) - 2/8. Let i be (3/(-3))/((-2)/f). Suppose -2*t = -3*t + i. Solve -3*c - 3*x - 14 = -2, -t*c = -4*x - 4 for c.
-2
Suppose -4 = b - 3*b. Suppose 4*f - 4 = 4. Suppose -f*a = -7*a. Solve -3*j = j - 3*q + 15, a = b*j + q - 5 for j.
0
Let j = -14 + 18. Solve y - 2*h - j = 0, -2*y - 3*h = -0*y + 6 for y.
0
Suppose 5*q + 2 = 7. Let w be (2/(-2))/(q/(-2)). Suppose -c = 3*c - 80. Solve 0 = 4*t + t - w*b + c, 0 = 4*b for t.
-4
Suppose -3*v - 20 = -7*v. Solve 5*s - 14 = 3*m - v, -12 = 4*s + 4*m for s.
0
Suppose 2*s - 6 = -5*o + 9, 5*o = -s + 10. Solve -g - 3*j = -0*j + s, -4*j - 10 = 3*g for g.
-2
Let j be 2/(6 - 4) + 3. Let c = -8 + 13. Solve -3*w + 6 + 1 = 2*x, 3*w - c = -j*x for x.
-1
Let p be 2 + 4 + (-1 - 3). Solve -2*i = 5*l + p + 5, -4*i + 13 = l for l.
-3
Suppose -f = -3*f - 30. Let d be 9/f + (-13)/(-5). Let t = 8 - 6. Solve -t*i - 5 = 3*i + 5*h, -d*i = -5*h - 33 for i.
4
Let g be 12/54 - (-34)/9. Let v = 7 - g. Solve 5*d = 4*o - 1, -v*d + 2*o - 4*o = -17 for d.
3
Suppose -3*k - 1 = -4*z + 19, 14 = -z - 4*k. Let n be (-2)/(-4) + (-65)/(-26). Solve -3*q + n*s + 22 = -z*s, 25 = -5*q - 4*s for q.
-1
Let v = -5 + 7. Suppose 0*f = -3*f + 3. Suppose -5*d + f = -79. Solve 5*w - v*l = 5 + 13, 0 = 2*w - 3*l - d for w.
2
Let j(p) = -p**2 - p. Let z be j(0). Suppose z = -q - q. Let u = q + 3. Solve 11 = 4*l - 3*i, -4*i - 2 = -u*l + 1 for l.
5
Suppose a + z + 4*z = 13, 0 = -3*a - 2*z + 39. Let n(s) = s**2 - 13*s - 6. Let i be n(13). Let m = -3 - i. Solve 2*j + k = -m, a = -2*j - 5*k + 2*k for j.
1
Let q be (-4)/1*6/(-8). Solve -2*n + q = 2*w - n, 0 = 2*w - 4*n - 8 for w.
2
Let r(g) = -g**3 + 2*g. Let o be r(-2). Suppose -o - 11 = -5*n. Solve -n*w + 5*z + 5 = 0, -6*w = -3*w + 4*z + 31 for w.
-5
Suppose -4*l - c - 4 = -0*c, 0 = -c - 4. Solve 6 = -3*x + 3*s - l, -x - s = 2 for x.
-2
Suppose 0 = 6*c - 1 - 17. Solve -2*b = h - 15, -c*h + 35 = 5*b - b for h.
5
Let b = 154 - 114. Solve 4*h - 5*j - b = 0, -5*h + 3*j + 45 = -2*j for h.
5
Suppose 4*v + 4*y = 3*v + 24, 0 = 3*v + 2*y - 22. Solve -5*f + l + 11 = 0, 0 = -4*f + l + v*l - 8 for f.
3
Let d(x) = -2*x. Let i be d(-2). Solve -2*l - j - 15 = -0*j, j - 15 = i*l for l.
-5
Suppose 0 = 5*v - v + 16. Let l be (-2 - -4)*10/v. Let c be 2/(-5) + (-27)/l. Solve 0 = 5*d - 4*k - 7, 0 = -3*d + d - c*k + 16 for d.
3
Let b(r) = -r**2 - 13*r - 35. Let o be b(-5). Solve -j - 11 = -4*y, -o = 3*y - 7*y - j for y.
2
Let d = 13 - 13. Suppose 0 = j + 4*i - d + 11, 4*j - 36 = 4*i. Solve 0*h + j*h + 5*f = -5, -5*h = 4*f + 4 for h.
0
Let c be (1 + 1)*(-26 - -28). Solve -3*d = -2*g - 0*d - 11, -c*d = -5*g - 10 for g.
2
Suppose 0 = 2*l, l = -3*w + w + 10. Let p = -14 - -21. Let a = p - w. Solve 6 = -d + 4*u, 4*d + a*u - u = 10 for d.
2
Let j = -22 + 34. Let g(i) = i**3 + 5*i**2 - 7*i - 2. Let b be g(-6). Suppose -3*f + v + 2 - 1 = 0, 4*v = -5*f - b. Solve r = 5*m - f*m + 4, m = 3*r - j for r.
4
Suppose -5*b + 3*a + 1 = 6*a, -2*b = -a - 7. Let r = 13 - 7. Suppose x = r*x - 20. Solve 5*o = j - b, 4*o - x*j + 8 = 2*o for o.
0
Suppose -m = 2*c + 9, -c + 2*m - 12 = -0*m. Let w be 5/15 - 28/c. Solve 4*g + h = -18, 0*g + w*h = -g + 5 for g.
-5
Suppose 3*u = 6*u - 30. Let v = -12 + 22. Suppose 0 = h + 3*i - v, -3 + 11 = -4*h + 4*i. Solve 5*d + u = 2*l, -3*l + d = -h - 1 for l.
0
Suppose 8*f = 3*f. Let r = 8 - 5. Let j = f + r. Solve -j*a + 6*n - 2*n = -15, 5*n + 10 = 2*a for a.
5
Let h = -11 + 12. Let m be (-3)/h - (-9 - -2). Solve -1 = -3*v + 4*i - 3, -m*v - 5*i - 13 = 0 for v.
-2
Suppose -5*j = 4*w - 20, 3*j = w + 2*w + 12. Solve -5*c = 5*r - 0*r - 10, 3*c = 2*r - j for r.
2
Suppose 3*d = 2*f - 25, -4*d = 11 + 9. Suppose -3*o + h = -2, 0*h = -5*h + f. Solve 4*i - 5*u = -1 - 4, -3*u + o = -2*i for i.
-5
Suppose 0 = -4*j - w + 1, w + 2 - 3 = -j. Solve 4*r + 10 + 6 = j, 5*r + 40 = 5*c for c.
4
Let o(z) = -z**3 - 10*z**2 - 11*z - 13. Let l be (-2)/(-4) + (-23)/2. Let m = l - -2. Let f be o(m). Solve 3*g + 12 = 4*s, -f*s = -10*s + 3*g + 15 for s.
3
Let k(g) = g**3 + g**2 - g + 2. Let r = 3 + -3. Let x be k(r). Solve -x*y + 6 = 4*b, 5*b + y + y - 7 = 0 for b.
1
Suppose 14 = 3*v + 8. Solve -m + 2*n - 1 = 0, v*n = 4*m + n - 10 for m.
3
Let t = 1 + 5. Solve -h + t*h - 5*i = 50, 5*i + 40 = 3*h for h.
5
Let f be (-14)/(-105) - 328/(-15). Let a = -18 + 6. Let m = a + f. Solve -t + 5*s = 15, m = 2*s + 2 for t.
5
Suppose -5*h - 7 = -32. Suppose -14 = 2*z - h*v, z = 3*v - 6 - 3. Suppose -z*k + 62 = -34. Solve -5*p + 3*l = -p + 1, -k = 3*p + 4*l for p.
-4
Suppose 0 = v + 2*u + 8, 0*v - 3*v - 19 = 5*u. Solve 5*n = -0*p - v*p - 21, 0 = -2*n - 2*p - 6 for n.
-5
Let m be (0 - 3/(-3))*7. Suppose -3*w + m = -2*w. Solve r = -3*s + 11, 0 = -r - s - 0*s + w for r.
5
Let y be -1 - (2 + -1 - 7). Let w be (-874)/(-190) - 4/(-10). Solve -g - y*f = 0, -f - 14 - 10 = w*g for g.
-5
Let j = 13 + -14. Let n be 2 - 2 - (0 - 5). Let q be (-10)/(-4)*(n + j). Solve -a - a - q = 4*z, -4*a + 3*z = -35 for a.
5
Let l(s) = -s - 3. Let q be l(6). Let g be (-3)/q - (-5)/3. Suppose 0 = 3*f + 2*o - 8, -f + g*o = 3*f - 20. Solve -3*j = f*i + 12, 0 = -i + 2*j + 4 + 4 for i.
0
Suppose -10*b + 6*b = -16. Solve j + 2 = 2*h - 10, b*j = h - 20 for j.
-4
Suppose -3*d = -4*n - 6 - 14, 0 = d + 2*n + 10. Solve 12 = 5*g + y - d*y, -y = 3 for g.
3
Let y(s) = s**3 - 5*s**2 + 1. Let z be y(5). Let f be z*((-2)/2 + 6). Solve 2*p - f = -0*k - k, k = 5 for p.
0
Let j be (-5 - -5)*1/(-2). Suppose 111 = 3*o - j*o. Suppose 5*b = -3*n + o, 3*b - 2*b = 2*n - 3. Solve n*g = -3*k - k - 8, -5*g = 4*k + 6 for k.
-4
Let v be 2/(-7) + 19/(-7). Let l(q) = q**3 + 4*q**2 + q - 4. Let u be l(v). Suppose -u + 8 = 3*n. Solve -c = -3*s - 14, n*c - 2*s - 8 = -s for c.
2
Let a(t) = -t**3 - 10*t**2 - 8*t + 11. Let l be 9/((0 - -2) + -3). Let g be a(l). Solve -m + 3 = 4*p, -m - g*m - 9 = 3*p for p.
2
Let i be 4/8*(-1 - -13). Let x(v) = -1 + 0 - 2 - v**3 - i*v**2 + 6*v. Let l be x(-7). Solve -c = m - 2, -c = -l*m + 3*c + 8 for m.
2
Let z(j) = 2*j**2 - j - 1. Let p be z(-1). Suppose 1 = 4*v - 11. Let y = -65 + 65. Solve -3*i = v*w, w - p*i + 6*i - 9 = y for w.
-3
Let x = 1 - -2. Suppose -s = -13 + x. Let i be 3/15 - (-48)/s. Solve -i*t + 4*n = -n - 30, 4*t + 3*n = -11 for t.
1
Let v(w) be the first derivative of -w**3/3 + 7*w**2/2 - 4*w - 2. Let y be v(6). Suppose 0 = -y*z + 4 - 2. Solve -11 = 4*x - 5*h, 5*h = -2*x - 12 - z for x.
-4
Suppose -4*o + 2 = 2*r + r, -3*o = 3*r - 3. Suppose 0 = -4*m - 2*f + 5*f + 14, 0 = 4*m - 4*f - 16. Solve -5*q + 5*n - 30 = 0, r = 4*q - m*n + 18 for q.
-2
Let y = -11 + 14. Solve -y*p = 4*h - 4*p - 18, 3*h - 3*p - 18 = 0 for h.
4
Let m(x) = -x**3 + 13*x**2 + 15*x - 7. Let z be m(14). Suppose -z*h = -14 - 21. Solve 3*k + h*t = 2*k - 15, -5*t = -2*k + 15 for k.
0
Let u = -141 + 145. Solve -3*g + 1 - 6 = 4*p, -u*p -
|
{
"pile_set_name": "DM Mathematics"
}
|
ct the terms in -5397*g**3 - 5397*g**3 + 10795*g**3.
g**3
Collect the terms in 2807*n - 2807*n + 44*n**3.
44*n**3
Collect the terms in 5705*t**3 + 3678*t**3 + 681*t**3.
10064*t**3
Collect the terms in 8*s - 26*s + 9*s + 8*s.
-s
Collect the terms in 4*d - 2*d + d + 2*d.
5*d
Collect the terms in 8*c + 76 - 218 + 68 + 74.
8*c
Collect the terms in -1 + 1 + 0 - 1203*x**3 + 1211*x**3.
8*x**3
Collect the terms in -9 + 22 + 25*s**2 - 13.
25*s**2
Collect the terms in -3 + 3*d**3 + 4*d**3 + 7.
7*d**3 + 4
Collect the terms in 51*g - 26*g + 7*g**3 - 25*g.
7*g**3
Collect the terms in 353*x**3 + 2*x - 2*x - 348*x**3.
5*x**3
Collect the terms in 3351 - 1115 - 1116 - 1120 - 3*s**2.
-3*s**2
Collect the terms in 9*t**3 - 76566*t + 76566*t.
9*t**3
Collect the terms in n - 4*n - 4*n.
-7*n
Collect the terms in -55*w - 60*w + 1050*w.
935*w
Collect the terms in -3*w**2 + 5 + w**2 + 4*w**2.
2*w**2 + 5
Collect the terms in c**2 + 8*c**2 + 2*c**2 + 0*c**2.
11*c**2
Collect the terms in n**2 - 684 + 684.
n**2
Collect the terms in -11*h**2 + 4*h**2 + h - 8*h**2.
-15*h**2 + h
Collect the terms in -s - 12*s + 18*s.
5*s
Collect the terms in -2293 + 22*v + 2293.
22*v
Collect the terms in 2*n + n + 15 - 6*n.
-3*n + 15
Collect the terms in -15*t + t + 0*t.
-14*t
Collect the terms in 41 + 3 + 1 - 3*r**2.
-3*r**2 + 45
Collect the terms in 11*n**2 - 5*n**2 + 7*n**2.
13*n**2
Collect the terms in -14*x**2 - 16*x**2 + 28*x**2 - 2*x.
-2*x**2 - 2*x
Collect the terms in 81*f - 36*f - 2*f**2 - 45*f.
-2*f**2
Collect the terms in -2 + 2 + 11*m**3.
11*m**3
Collect the terms in -50*a - 54*a - 53*a + 152*a.
-5*a
Collect the terms in -5 + 0 + 19*u - 26*u.
-7*u - 5
Collect the terms in 87*d - 130 + 63 + 67.
87*d
Collect the terms in -11*o + 4*o + 14*o.
7*o
Collect the terms in -7176 + 7176 + 6*l**2.
6*l**2
Collect the terms in 298 + 10*c + 310 - 608.
10*c
Collect the terms in 2*q + 4*q + 201 - 201.
6*q
Collect the terms in 34*l - 4 + 221*l + 5.
255*l + 1
Collect the terms in 2*k + 0*k + 3*k.
5*k
Collect the terms in -3 - 82*t + 3.
-82*t
Collect the terms in -7 + 3890*g - 11*g**3 - 3890*g.
-11*g**3 - 7
Collect the terms in -79*i + 131*i - 63*i.
-11*i
Collect the terms in 103*p**2 + 17*p**2 - 45*p**2.
75*p**2
Collect the terms in 79*t**2 + 3*t + 57*t**2 - 138*t**2 - 3*t.
-2*t**2
Collect the terms in -5323 - 3*b**3 + 5323.
-3*b**3
Collect the terms in 7 - 287*v**2 + 284*v**2 - 2.
-3*v**2 + 5
Collect the terms in -2*d**3 - 3*d**3 + 12*d**3 + 0*d**3 - 5*d**3.
2*d**3
Collect the terms in 2*q - 10*q - 15*q.
-23*q
Collect the terms in 3*k**2 - 35267 + 35267 + 0*k + 0*k.
3*k**2
Collect the terms in 11030*s - 5*s**2 - 11030*s.
-5*s**2
Collect the terms in 25 + 2*k + 25 - k.
k + 50
Collect the terms in 202*t - 99*t - 104*t.
-t
Collect the terms in 4*g - g - 2 + 5*g - 6*g.
2*g - 2
Collect the terms in -u**2 + u**2 + u**3.
u**3
Collect the terms in -7*u**3 - u**3 - 6*u**3 + 4*u**3.
-10*u**3
Collect the terms in -2*r**3 - 2 - 4*r**3 - 1.
-6*r**3 - 3
Collect the terms in -6*m**2 + 6*m**2 - 13*m**3.
-13*m**3
Collect the terms in 26*a**3 - 25*a**3 + 2*a**2 - 2*a**2.
a**3
Collect the terms in 873 - 873 - 13*n**2.
-13*n**2
Collect the terms in -4*z - 166*z**3 - 9 + 4*z.
-166*z**3 - 9
Collect the terms in -2*w + 4*w - 36*w.
-34*w
Collect the terms in -18850*r + r**2 + 18850*r.
r**2
Collect the terms in -99 + 99 - 30*v.
-30*v
Collect the terms in 7*n**2 + n**2 - 6*n**2.
2*n**2
Collect the terms in -2*y**3 - 73 + 73.
-2*y**3
Collect the terms in -2*q - q + 7*q.
4*q
Collect the terms in 0 - 2*w**3 + 2 - 9*w**3.
-11*w**3 + 2
Collect the terms in -1563 + 1563 + 10*q.
10*q
Collect the terms in 14*s**2 + 26*s**2 + 33*s**2.
73*s**2
Collect the terms in -4*y**2 + 16*y**2 + 12*y**2.
24*y**2
Collect the terms in -1820 + 1820 + 11*y**2 - 9*y**2.
2*y**2
Collect the terms in -2*a**3 - 869*a + 435*a + 434*a.
-2*a**3
Collect the terms in o + 0*o + 2*o + 3*o.
6*o
Collect the terms in -8 - 15 + 18 + a**3 + 5.
a**3
Collect the terms in 232*a**2 + 228*a**2 + 232*a**2 - 695*a**2.
-3*a**2
Collect the terms in -1 + 2*j**2 + 5 + 0 + 16.
2*j**2 + 20
Collect the terms in -15594*m + 7789*m - 3 + 7798*m + 3.
-7*m
Collect the terms in -7*n + 27*n + 9*n.
29*n
Collect the terms in 34*y + 33*y - 75*y.
-8*y
Collect the terms in -8*k - 17*k - 22*k.
-47*k
Collect the terms in -12 + 12 + 2*v**2 + 33*v**2.
35*v**2
Collect the terms in 94*n + 113*n - 181*n.
26*n
Collect the terms in -6*w**2 + 82*w - 82*w.
-6*w**2
Collect the terms in -18*d**3 - 27*d**3 - 21*d**3 + 64*d**3.
-2*d**3
Collect the terms in -42 + 16 - 4*h**3 + 26.
-4*h**3
Collect the terms in -9*p - 263*p**2 + 9*p + 260*p**2.
-3*p**2
Collect the terms in 810 - 810 - 4*m.
-4*m
Collect the terms in 46976*y - 12*y**2 - 46976*y.
-12*y**2
Collect the terms in x - 9*x - 6*x.
-14*x
Collect the terms in -19552*i**2 + i**3 + 19552*i**2 + 4*i**3.
5*i**3
Collect the terms in -71*h**3 + 120*h**3 - 38*h**3 - 47*h**3.
-36*h**3
Collect the terms in -g**2 + 183 - 183.
-g**2
Collect the terms in 0*k + 10*k - 2*k - 6*k.
2*k
Collect the terms in 2*c + 8*c - 4*c.
6*c
Collect the terms in -97*i - 105*i + 307*i - 100*i.
5*i
Collect the terms in -2868*n + 15*n**2 + 2868*n.
15*n**2
Collect the terms in 0 + 1 + 116*g + 1.
116*g + 2
Collect the terms in 35 + 40 + 44 + 13*i - 119.
13*i
Collect the terms in 2*o**3 - 3*o**2 + 4*o**2 - o**2.
2*o**3
Collect the terms in 171 + u**2 + 0*u**2 + 596.
u**2 + 767
Collect the terms in 9 - 60*r - 9 - 154*r.
-214*r
Collect the terms in 5 - 5 + 15*c**3.
15*c**3
Collect the terms in -3*g + 12*g**2 + 18*g**2 - 4*g**2.
26*g**2 - 3*g
Collect the terms in 3*d + 7*d**2 - 3*d - 15.
7*d**2 - 15
Collect the terms in -76 - h - 23 + 20.
-h - 79
Collect the terms in -105*x**3 - 123*x**3 + 229*x**3.
x**3
Collect the terms in 0*g**3 - 9*g**3 + 5*g**3 + 5*g**3.
g**3
Collect the terms in 80*p + 50*p + 1 - 30*p.
100*p + 1
Collect the terms in -4*g**2 + 15*g**2 - 7*g**2.
4*g**2
Collect the terms in 996 - 996 - 2*v.
-2*v
Collect the terms in -5 - 2 + 7 + 4*n**2.
4*n**2
Collect the terms in 1173*y - 582*y - y**2 - 591*y.
-y**2
Collect the terms in -24*h**2 + 2*h**3 - 19*h**2 - 27*h**2 + 70*h**2.
2*h**3
Collect the terms in 482 - 3*s**2 - 482 - 8*s**2.
-11*s**2
Collect the terms in 2*z - 219 - 3*z + 208.
-z - 11
Collect the terms in -15*c**2 - 18*c**2 + 29*c**2 - 2*c.
-4*c**2 - 2*c
Collect the terms in 2*i**2 + 61*i - 38*i - 23*i.
2*i**2
Collect the terms in 239 - 239 - 5*n.
-5*n
Collect the terms in -258372*g + 258372*g + g**2.
g**2
Collect the terms in -343*d**2 + 117*d**2 + 125*d**2 + 118*d**2.
17*d**2
Collect the terms in 27*z**2 - 49*z**2 - 4*z**3 + 22*z**2.
-4*z**3
Collect the terms in 19*h + 4*h - 187 + 187.
23*h
Collect the terms in -7 + 35 - 10*w - 14 - 14.
-10*w
Collect the terms in 73 - 154 + 81 - 70*l**3.
-70*l**3
Collect the terms in -117 + 66 + 50*r**2 + 51.
50*r**2
Collect the terms in 123*j**2 - 133*j**2 + j - j.
-10*j**2
Collect the terms in -29*x**3 + 52*x**3 - 25*x**3.
-2*x**3
Collect the terms in 1 + 2*b - 3*b - 3*b + 0*b.
-4*b + 1
Collect the terms in 4 + 2*r**2 - 4 - 6*r**2.
-4*r**2
Collect the terms in x - 4*x**2 + 11*x + 7*x.
-4*x**2 + 19*x
Collect the terms in -3*i**3 - 25*i + 0*i**3 - 29*i + 54*i.
-3*i**3
Collect the terms in -g**3 + 41 - 41 + 0.
-g**3
Collect the terms in -2881*p**2 + 2881*p**2 + 2*p**3.
2*p**3
Collect the terms in -8*a**2 + 95*a**3 - 100*a**3 + 0*a**2.
-5*a**3 - 8*a**2
Collect the terms in 4*n**3 - n**2 - 8*n**3 + 5*n**2 + 2*n**2.
-4*n**3 + 6*n**2
Collect the terms in 5*u**3 - 8*u**3 - 199*u + 199*u.
-3*u**3
Collect the terms in -3*n**3 + 172 + 164 - 336.
-3*n**3
Collect the terms in 30*t**2 - 11*t**2 - 13*t**2.
6*t**2
Collect the terms in 0*x**2 - 15*x**2 + 14*x**2 + 15*x**2.
14*x**2
Collect the terms in -42 + 42 - 3*q**3.
-3*q**3
Collect the terms in -59*f**3 + 238*f - 238*f.
-59*f**3
Collect the terms in -22 + 17 + 2*c + 5.
2*c
Collect the terms in 0*u**3 + 5*u**3 + 5*u**3 - 14*u**3 + 2*u**3.
-2*u**3
Collect the terms in 217*y**2 - 217*y**2 - 3*y**3 + 4*y**3.
y**3
Collect the terms in 256 - 68*v - 256.
-68*v
Collect the terms in 676 + 10*u**2 - 676.
10*u**2
Collect the terms in -10*y**3 + 3*y**2 - 3*y**2 + 10*y**3 - 2*y**3.
-2*y**3
Collect the terms in 185 + 5*g - 185.
5*g
Collect the terms in 1 + 97*n + 4 - 2 - 5.
97*n - 2
Collect the terms in -9 +
|
{
"pile_set_name": "DM Mathematics"
}
|
999)/(-126)). Let t(f) = -f**2 + 12*f + 22. What is t(a)?
-6
Let p(v) = -2*v + 21. Suppose -11*n + 21 = -4*n. Suppose -2*k - 35 + 7 = -4*h, -35 = -n*h - 2*k. Determine p(h).
3
Suppose -510 = 17*u - 27*u. Let f(m) = -u + 161 - 24*m - 55 - 54. What is f(1)?
-23
Let n(l) = 37*l**2 + 20*l + 31. Let w(x) = 7*x**2 + 4*x + 6. Let u = -12 - -14. Let a(f) = u*n(f) - 11*w(f). Give a(-3).
-19
Suppose 9*o = 4*o + 15. Let t(f) = -4*f**3 - 5 - 2*f**2 + 4 + o*f**3. What is t(-3)?
8
Let k(a) = 2*a - 149 + 148 - 11*a**2 + 18*a**2. Suppose -2*c + 8 = 0, 2*c = -2*j - 5 + 21. Suppose -j*y + 9*y = 5. Calculate k(y).
8
Let r(p) = p**3 - 4*p**2 - 6*p + 5. Let i be 17*(-1)/15 - (-28)/210. Let m be 15/10*40/i. Let y = m - -65. Calculate r(y).
0
Let r(w) = -17 - 19 + 14*w - 11 + w**2 - 5 + 76. Calculate r(-9).
-21
Let j(o) = 2. Let g(q) = -8*q - 9. Let y(r) = -9*r - 9. Let a(f) = -6*g(f) + 5*y(f). Let t(i) = a(i) - 5*j(i). Determine t(-4).
-13
Let z(c) = -8*c**2 - 5*c. Let k(b) = -5*b**2 - 3*b. Let o(r) = 5*k(r) - 3*z(r). Suppose -33*h + 81 = -6*h. Determine o(h).
-9
Let d(c) = 25*c**2 + 7*c - 12. Let j(s) = -55*s**2 - 14*s + 25. Let t(m) = -7*d(m) - 3*j(m). Give t(1).
-8
Let l(f) be the third derivative of -f**6/120 - 7*f**5/60 - 7*f**4/24 + f**3/6 - 927*f**2. What is l(-4)?
-19
Let u(g) = -2*g**2 + 3*g + 2. Let p = -35 - -34. Let n be p/(-2)*((-60)/(-3) - -2). Suppose -4*w - 5*i = 13, 0 = -0*w + 2*w - i - n. Give u(w).
-7
Suppose k + 3*b + 6 = 0, -1 - 7 = 4*b. Let i(u) be the second derivative of 5/12*u**4 + k + 0*u**3 + 0*u**2 - 10*u. Calculate i(1).
5
Let r(p) = -2*p**2 + 36*p - 9. Suppose 11*m + 11*m = 40 + 356. Calculate r(m).
-9
Let c = 2 + -46. Let r = 44 + c. Let n(y) = r - 8 - 4 + y + 4. Calculate n(9).
1
Let x(u) = 3*u + 1. Let r(g) = 8*g - 6. Let a(k) = r(k) - 2*x(k). Let m be ((-36)/(-14))/(3/21). Suppose m = -4*v + 7*v. Determine a(v).
4
Let o(s) be the third derivative of -7*s**5/60 + s**4/3 + 7*s**3/3 - 99*s**2 + 3*s - 5. Give o(-2).
-30
Let u(m) be the third derivative of -m**7/840 + m**6/60 + 3*m**5/40 - 5*m**4/12 + 10*m**3/3 - 2*m**2 + 3. Let c(s) be the first derivative of u(s). Give c(7).
4
Let v(h) be the first derivative of h**4/4 + 4*h**3/3 - 3*h**2/2 + 2*h - 433. Suppose 0 = j - 5*p + 5 + 20, 5*p - 35 = 3*j. Calculate v(j).
-8
Let c(j) = -2 + 6 - 2 - j - 1. Suppose 2*u + 6 = -2*y, 5*u + 0*u - 3*y - 9 = 0. Suppose -4*g + u = 36. Calculate c(g).
10
Let y(r) = 7*r**2 + 2*r + 2. Let s be y(-2). Let l = s - 22. Let w(g) be the first derivative of g**4/4 - 5*g**3/3 + 3*g**2/2 + 3*g + 29. What is w(l)?
-1
Suppose -22*l - 41*l = -382*l - 190*l. Let d(n) = -n**3 - 5*n**2 - 3*n - 14. What is d(l)?
-14
Let l be (213 - 138)/(1 + 2). Let n(x) = 4*x - 101. Give n(l).
-1
Suppose 4 = 5*l - 11. Let w(i) = 2 - 14 - l + i - 3. Calculate w(0).
-18
Let s(z) = -4*z - 29. Let q(n) = 245*n - 989. Let a be q(4). Determine s(a).
7
Let d(n) = -4*n - 5. Let a(y) = 5*y + 5. Let i(w) = 3*a(w) + 4*d(w). Let x(g) = g + 2. Let t(c) = i(c) - x(c). Calculate t(-7).
7
Let x(i) = 82*i + 484. Let y(j) = -463*j + 4624. Let h be y(10). What is x(h)?
-8
Let f = -226 - -229. Suppose -90 = 31*g + f. Let i(o) = 3*o**2 + 3*o - 2. Give i(g).
16
Let l be (-340)/(-476) - 37/(-7). Let p(o) = -o**3 + 7*o**2 - 9*o + 32. Calculate p(l).
14
Let g(n) = 6*n**2. Let f be g(-1). Suppose v - f = 4*v. Let x(y) = 10*y + 37. Let m(c) = -11*c - 44. Let q(j) = 5*m(j) + 6*x(j). What is q(v)?
-8
Let a(z) = 2*z**2 + 5*z - 22. Let m be a(-5). Let p(x) = 8*x + 367 - 373 - x - x**m - 4*x**2. Give p(-6).
24
Let o(k) = 2732*k**3 - 4*k - 5469*k**3 - 5*k**2 + 2739*k**3 - 2. Calculate o(4).
30
Let t(i) be the first derivative of 1/4*i**4 + 0*i + 46 - i**3 + 0*i**2. Give t(4).
16
Suppose 4*c = 3*z - 30, -7*z + 77 = -4*c + 39. Let t(q) = -q**2 + 2. Calculate t(z).
-2
Let k(s) = -2 - 2*s**2 - 4*s**2 + 5*s + 7*s**2. Let t(b) = 113*b - 1361. Let x be t(12). Calculate k(x).
-2
Let g(x) be the third derivative of 0 + 37*x**2 - 1/8*x**4 + 15/2*x**3 + 1/120*x**5 + 0*x. Let a(y) be the first derivative of g(y). Calculate a(0).
-3
Let f(p) = -6*p**2 + 13*p - 32. Suppose -33*u - 13096 = -13261. Calculate f(u).
-117
Let n(f) be the second derivative of 8*f**3 + 137*f**2/2 - 11188*f. Calculate n(-3).
-7
Suppose -51 = 3*r + 3*i, 5*r + 0*i - 3*i = -61. Let j be (-176)/r + (-12)/(-28). Let a(w) = 2*w - 24. Give a(j).
2
Let h(r) = -13*r - 28. Let u = -3546 - -3544. Determine h(u).
-2
Suppose 0 = -9*t + 373 - 436. Let b(v) = -v**3 - 7*v**2 + 4*v + 34. Calculate b(t).
6
Let p(o) = 3*o**3 - 8*o**2 + 6*o - 9. Suppose 8*y + 150 - 142 = 0. Let c(j) = 2*j**3 + j**2 - j - 1. Let l(t) = y*p(t) + 2*c(t). Give l(-11).
-26
Let j(d) = 15 + 130*d**3 - 2*d - 11*d**3 - 5*d**2 - 120*d**3 + 0. Calculate j(-4).
7
Let i(n) be the first derivative of -7*n**2/2 - 1. Let a be i(1). Let l(s) = s + 174. Let h(g) = g + 201. Let d(y) = -6*h(y) + 7*l(y). Give d(a).
5
Let n = 30333 + -30327. Let y(g) = -44*g + 263. Determine y(n).
-1
Let r(o) be the second derivative of -o**5/20 + 5*o**4/4 + 16*o**3/3 + 35*o**2/2 + o + 22. Let b be r(17). Let z(q) = 3*q**3 - q**2 + 2*q - 1. Calculate z(b).
3
Let q(p) = -p + 17. Suppose k - 2*k + 27 = -4*d, -3 = -k. Let j(x) = -x + 10. Let h be j(d). Give q(h).
1
Let g(f) = -196*f**2 + 195*f**2 - 2*f - 8*f + 26. Let d be g(-9). Let o(y) = -63 + 27 + d + y. Determine o(3).
2
Let t(z) = -z**3 - 10*z**2 - 2*z - 17. Let d be t(-10). Let s be 3 - d/((-21)/(-49)). Let a(r) = r**3 + 3*r**2 - 2*r - 5. What is a(s)?
-13
Let b(x) be the third derivative of -x**5/60 - x**4/8 + 2*x**3 + 1370*x**2. Give b(3).
-6
Let g(d) = 2*d - 11. Suppose 13*w - 12 = 7*w. Let a(z) = -z + 11. Let y(p) = w*g(p) + 3*a(p). Determine y(-11).
0
Let n(h) = -100*h**2 - h - 5*h - 9*h + 18*h + 96*h**2 - 6*h**3. Give n(1).
-7
Let d = -96404 + 96402. Let s(u) = -3 + 3 + 12*u. Calculate s(d).
-24
Let l(z) = 67*z - 3 + 73*z + 75*z - 221*z. Let g(f) = -5*f - 1. Let y(q) = -5*g(q) + 4*l(q). Determine y(14).
7
Let j(m) = m - 6. Let z be j(3). Let n(r) be the first derivative of r**2/2 + 5*r + 2. Let o(g) = 1. Let y(v) = n(v) - 5*o(v). Calculate y(z).
-3
Let i(d) = 22*d - 34. Let w be i(8). Let b = -150 + w. Let l(r) = -r - 15. What is l(b)?
-7
Let a(c) = 573*c + 48. Let f(v) = -265*v - 24. Let u(l) = -6*a(l) - 13*f(l). Determine u(-10).
-46
Let h(v) = v**2 - 11*v - 23. Suppose 21*s = 8*s - 13 + 234. Calculate h(s).
79
Let t(n) = n**2 - 12*n + 4. Let d = 495 - 499. Let q(u) = -11*u - 32. Let x be q(d). Determine t(x).
4
Let v(u) = 17. Let m(c) = -1 + 2*c - c + 16*c**2 - 15*c**2. Let x(s) = -2*m(s) + v(s). Let k(g) be the first derivative of x(g). Determine k(-2).
6
Let z(k) = -25 - 2745*k + 76 + 2738*k. Give z(4).
23
Let f(w) = -w**3 + 14*w**2 - 16*w - 5. Let o be f(13). Let b be 3 + o/6*(-6)/(-4). Let d(j) = -7 - 8*j + 0 - j**2 + 1. What is d(b)?
-6
Let b(p) = 107*p + 161. Let x(a) = 7*a + 11. Let v(z) = 6*b(z) - 93*x(z). Calculate v(-8).
15
Let d(w) be the first derivative of -w**2/2 + 3*w + 1386. Let g = -4 + 1. Let n = 0 - g. Give d(n).
0
Let z(m) = -3*m**2 - 23*m - 37. Let l be z(-4). Let f(v) = -4*v + 31. Calculate f(l).
3
Let c(j) = 0*j - 3 + 6 + 4*j. Suppose -7*v - 34 = 9*v + v. Determine c(v).
-5
Suppose 192 = 3*f + 9*f. Let v(l) = -3*l - 18. Let q(x) = 5*x + 20. Let y(d) = 2*q(d) + 3*v(d). What is y(f)?
2
Let k(v) be the third derivative of v**5/40 + v**4/6 + 13*v**3/6 + 18*v**2. Let i(q) be the first derivative of k(q). Let m = 27 + -24. Determine i(m).
13
Let v(m) be the second derivative of -m**4/12 - 3*m**3/2 + m**2 - m. Let a = -3101 + 3093. What is v(a)?
10
Let v(m) = -2*m**3 - 3*m**2 + 2*m. Suppose -3*b - 31 + 52 = 0. Let u be (-5 - -2)*b/42*-4. What is v(u)?
-24
Let u(w) = 4*w - 3. Let z(g) = g**3 + 8*g**2 + 4*g + 8. Let b be z(-6). Let y = b - 92. Let c be y/(-27)*3/2. What is u(c)?
5
Let s be ((-29)/((-1856)/1120))/((-35)/(-14)). Let w(u) = 2*u**2 - 6 + 4*u - 3*u**2 - 2*u. Determine w(s).
-41
Suppose 3*v = 23*v + 80. Let h(o) = -o**3 - 6*o**2 - 10*o - 4. Give h(v).
4
Let s(b) = b**2 - 8*b - 2. Suppose -103*l = -111*l + 24. Let r be ((-1)/l)/(-14 - -15)*-21. Give s(r).
-9
Let u(n) = 3*n**2 + 387*n - 3. Let k be u(-129). Let v(z) = -4*z**2 - z**3 + 2*z - z**2 + 2*z**2 - 2. Calculate v(k).
-8
Let f(g) = -g**2 - 3*g**2 + 7*g + 1 - 1. Let b be f(4). Let c
|
{
"pile_set_name": "DM Mathematics"
}
|
3 - 5*x**2 + 4*x + 2. Determine q(4).
2
Let u(v) = -2*v**2 - 7*v - 5. What is u(-5)?
-20
Let a(s) = s**3 - 8*s**2 - s - 8. Calculate a(8).
-16
Let l(n) = -n**2. What is l(-1)?
-1
Let h(j) = j**2 - 73*j + 3. Determine h(0).
3
Let f(s) = 5*s + 44. Give f(-9).
-1
Let d(p) = 4*p + 24. What is d(-9)?
-12
Let u(l) = l - 6. Calculate u(4).
-2
Let t(q) = q**2 + 8*q + 5. Calculate t(-5).
-10
Let q(f) = -f**2 + 20*f - 43. What is q(16)?
21
Let m(k) = 2*k**2 + 7*k - 8. What is m(-3)?
-11
Let g(m) = 2*m**2 + 16*m - 5. Determine g(-8).
-5
Let y(d) = -36*d - 623. Calculate y(-17).
-11
Let v(i) = -i**3 + 9*i**2 + 16*i + 2. Calculate v(11).
-64
Let l(a) = 2*a**3 - 31*a**2 + 23*a - 118. Calculate l(15).
2
Let f(q) = -2*q**3 + 2*q**2 - 2*q + 7. Determine f(2).
-5
Let k(l) = l + 23. Give k(-19).
4
Let o(f) = -2*f**3 - 22*f**2 - 13*f + 19. Determine o(-10).
-51
Let i(s) = 2*s**2 + 35*s + 70. Determine i(-15).
-5
Let z(x) = x**3 + 2*x**2 - 2*x. What is z(3)?
39
Let l(i) = 10*i**3 + i**2 - i + 1. Calculate l(1).
11
Let d(r) = r**3 - 7*r**2 - r + 2. Determine d(7).
-5
Let t(b) = -b. Calculate t(-5).
5
Let x(j) = -j**3 + 13*j**2 + 2*j - 19. Determine x(13).
7
Let w(v) = 7*v. What is w(3)?
21
Let a(d) = -d**2 - d - 1. Calculate a(-2).
-3
Let z(j) = -11*j - 168. Determine z(-16).
8
Let i(p) = p**2 - 219*p - 1351. Calculate i(-6).
-1
Let a(i) = 6*i + 4. Calculate a(6).
40
Let u(r) = r - 2. Give u(-5).
-7
Let z(v) = -21*v + 59. Calculate z(2).
17
Let z(j) = -j + 4. Determine z(14).
-10
Let c(d) = -d**3 + 6*d**2 - 8*d + 1. Give c(3).
4
Let r(k) = -k**2 - 13*k - 8. Determine r(-13).
-8
Let b(a) = 4*a**3 + 3*a**2 + 3*a + 5. What is b(-2)?
-21
Let g(h) = -7*h + 8. What is g(-6)?
50
Let w(d) = -d**3 + 3*d**2 + 4*d. Give w(4).
0
Let q(d) = -3*d**3 - 2*d**2 - 2*d. Give q(-1).
3
Let g(j) = -47*j - 388. Give g(-8).
-12
Let l(h) = -h**2 + 8*h + 20. What is l(10)?
0
Let j(g) = g**3 - 7*g**2 + 8*g - 7. Give j(6).
5
Let q(b) = -b**3 - 7*b**2 + 59*b + 8. What is q(5)?
3
Let o(p) = p**3 - 11*p**2 + 11*p - 9. What is o(10)?
1
Let u(j) = j**2 - 10*j - 35. Calculate u(11).
-24
Let h(y) = -y + 4. Give h(9).
-5
Let z(s) = -6*s**2 - 33*s - 6. Give z(-9).
-195
Let z(t) = 8*t - 91. Calculate z(11).
-3
Let n(x) = -x**3 + 4*x**2 - 8*x - 5. Calculate n(4).
-37
Let a(q) = q**3 - 4*q**2 + 10*q - 26. Give a(5).
49
Let i(s) = -s**3 - 9*s**2 - 11*s + 8. Calculate i(-7).
-13
Let n(f) = -2*f**3 + 15*f**2 + 28*f - 22. What is n(9)?
-13
Let q(d) = d**3 + d**2 - 5*d - 6. Give q(-4).
-34
Let i(j) = -j**3 + 15*j**2 - 11. Determine i(15).
-11
Let z(c) = 2*c**2 + 25*c - 1. Calculate z(-15).
74
Let v(d) = 2*d + 12. Give v(19).
50
Let s(k) = 58*k**2 - 3*k + 2. Calculate s(1).
57
Let x(z) = z**2 - 18*z + 18. Give x(17).
1
Let c(k) = -k**3 - 3*k**2 + 4*k + 6. Calculate c(3).
-36
Let y(o) = -2*o**2 - 34*o - 113. What is y(-7)?
27
Let z(y) = -y - 15. What is z(-6)?
-9
Let x(b) = -b**2 - 16*b - 49. What is x(-12)?
-1
Let s(x) = -x**2 - 14*x - 12. What is s(-12)?
12
Let n(i) = i**3 - i**2 - 5*i - 1. Determine n(3).
2
Let t(w) = 8*w - 1. Determine t(2).
15
Let d(n) = 2*n**2 - 6*n - 13. Determine d(-5).
67
Let v(u) = -5*u - 18. Give v(6).
-48
Let x(u) = u**3 - 8*u**2 + 6. Calculate x(3).
-39
Let w(o) = o**2 - 4*o - 11. Calculate w(7).
10
Let i(g) = 25*g - 266. Determine i(11).
9
Let d(q) = -q**2 + 9*q + 37. Give d(12).
1
Let s(c) = -8*c - 138. What is s(-16)?
-10
Let s(p) = -29*p + 209. Give s(7).
6
Let g(m) = 4*m - 7. What is g(3)?
5
Let h(x) = -59*x + 230. Determine h(4).
-6
Let x(c) = -c - 14. Give x(12).
-26
Let m(k) = k**3 + 4*k**2 - k - 3. Give m(-3).
9
Let t(v) = -v**3 - 12*v**2 + 1. Give t(-12).
1
Let n(l) = -l**3 - 16*l**2 - 42*l - 19. Give n(-13).
20
Let c(h) = -11*h**2 + 7*h + 7. Give c(-1).
-11
Let a(v) = 6*v + 74. Give a(-10).
14
Let w(d) = 2*d**2 - 39*d + 23. Determine w(19).
4
Let o(a) = 5*a - 15. What is o(7)?
20
Let b(p) = -62*p + 2727. Determine b(44).
-1
Let s(g) = -g**3 + 22*g**2 - 20*g - 15. Give s(21).
6
Let l(v) = -v**2 - 13*v - 12. Calculate l(-13).
-12
Let w(u) = -4*u**3 - 3*u**2 + 11*u + 1. Calculate w(-2).
-1
Let s(b) = -11*b - 234. Calculate s(-15).
-69
Let y(z) = -2*z + 13. Give y(7).
-1
Let o(q) = -q**3 + 2*q**2 - 2*q + 3. What is o(2)?
-1
Let o(x) = 5*x + 21. What is o(-5)?
-4
Let o(p) = p**3 - 17*p**2 + 15*p - 15. Give o(16).
-31
Let s(g) = -g**2 - 27*g + 59. Calculate s(2).
1
Let q(f) = f**2 - 30*f - 63. Determine q(-2).
1
Let m(i) = i**3 - 3*i**2 - 2*i + 2. Determine m(4).
10
Let r(v) = -120*v - 602. Determine r(-5).
-2
Let i(k) = k**2 + 5*k + 1. Calculate i(-6).
7
Let p(j) = -4*j. Calculate p(9).
-36
Let z(t) = -t**2 + 6*t - 2. Give z(3).
7
Let n(u) = -2*u - 2. Calculate n(-8).
14
Let y(m) = 11*m + 122. Calculate y(-12).
-10
Let k(a) = -a + 7. Determine k(3).
4
Let v(g) = -3*g - 21. What is v(-14)?
21
Let f(n) = -8*n + 96. Determine f(12).
0
Let u(y) = y**3 + y**2 - y + 1. Calculate u(-3).
-14
Let l(s) = 21*s - 34. Determine l(2).
8
Let q(w) = w**3 + 21*w**2 + 19*w - 9. Give q(-20).
11
Let b(t) = -5*t**3 - t**2. Calculate b(-1).
4
Let k(p) = p**3 + 23*p**2 + 120*p - 5. Give k(-15).
-5
Let x(f) = -f**3 + 4*f**2 + 11*f - 8. What is x(5)?
22
Let k(q) = -10*q + 40. What is k(6)?
-20
Let i(r) = -9*r - 43. Calculate i(-11).
56
Let h(c) = c - 23. What is h(-10)?
-33
Let i(x) = -x**2 - 18*x - 72. Determine i(-12).
0
Let w(x) = -x + 3. Determine w(-9).
12
Let j(p) = -51*p + 108. Give j(2).
6
Let z(p) = p**3 - 2*p**2 - 3*p. Give z(-1).
0
Let c(r) = -r**2 - 21*r - 39. Calculate c(-19).
-1
Let z(c) = 31*c + 25. Determine z(-1).
-6
Let j(i) = 44*i - 14. Calculate j(3).
118
Let k(y) = -2*y**2 + 12*y. Determine k(6).
0
Let i(r) = -3*r**2 + 2. Determine i(3).
-25
Let c(z) = z + 3. What is c(5)?
8
Let v(d) = d**2 - 13*d + 21. Give v(6).
-21
Let y(n) = -13*n - 145. Give y(-13).
24
Let h(b) = -b**3 + 10*b**2 + 22*b + 10. Give h(12).
-14
Let q(c) = -10*c - 2. Calculate q(-3).
28
Let d(t) = -t**2 + 4*t + 21. Calculate d(-3).
0
Let s(o) = o**2 + 4*o + 2. Determine s(-10).
62
Let s(p) = p**2 - 8*p + 16. Calculate s(5).
1
Let q(o) = o**2 - 11*o - 38. What is q(14)?
4
Let n(j) = 5*j**2 - 27*j - 10. Determine n(5).
-20
Let s(m) = 4*m + 2. Determine s(-1).
-2
Let x(u) = -7*u**3 - 11*u + 12. Give x(1).
-6
Let j(m) = m**3 - m - 27. What is j(0)?
-27
Let z(i) = -i**2 + 15*i - 26. Give z(12).
10
Let n(h) = -33*h**2 + 4*h - 4. What is n(2)?
-128
Let u(y) = -6*y + 170. Calculate u(28).
2
Let r(b) = 8*b**3 - 2*b**2 - 3*b - 2. What is r(-1)?
-9
Let b(h) = h**3 - 21*h**2 + 37*h + 17. Give b(19).
-2
Let d(a) = -22*a - 182. Calculate d(-8).
-6
Let n(p) = -113*p + 896. Give n(8).
-8
Let k(m) = -3*m**3 + 55*m**2 + 38*m + 6. What is k(19)?
6
Let f(k) = -18*k + 47. Calculate f(3).
-7
Let i(d) = -16*d - 110. Determine i(-7).
2
Let t(c) = -7*c - 203. Give t(-27).
-14
Let r(a) = 7*a - 9. Calculate r(7).
40
Let x(l) = l**3 - 8*l**2 + 7. What is x(8)?
7
Let n(v) = -3*v. What is n(-2)?
6
Let c(v) = -5*v + 106. Give c(18).
16
Let y(c) = 2*c**2 - 31*c + 6. What is y(15)?
-9
Let f(u) = u - 8. Determine f(-18).
-26
Let w(n) = n**2 + 5*n + 3. Calculate w(-4).
-1
Let c(z) = 37*z**2 - z - 2. Calculate c(-1).
36
Let n(x) = -x**3 - 2*x - 1. Give n(-3).
32
Let q(w) = -w**2 + 17*w - 37. Determine q(16).
-21
Let z(u) = 26*u + 15. What is z(-6)?
-141
Let h(w) = -w**2 + 6*w + 17. Calculate h(14).
-95
Let r(u) = -3*u + 51. What is r(18)?
-3
Let k(x) = -9*x + 199. Give k(19).
28
Let k(q) = 2*q - 3. Calculate k(-8).
-19
Let v(b) = -23*b + 11. Determine v(-4).
103
Let v(a) = a**2 + 22*a - 151. Determine v(-28).
17
Let s(n) = -n**3 + 2*n**2 + 2*n + 9. Give s(6).
-123
Let r(l) = -9*l**2 + 3*l - 2. What is r(1)?
-8
Let t(k) = 2*k - 4. Calculate t(-3).
-10
Let x(g) = g**2 + 34*g + 162. What is x(-6)?
-6
Let g(y) = -2*y**3 + 2*y**2 - y + 2. Give g(2).
-8
Let a(l) = 7*l - 30. Determine a(6).
12
Let c(b) = 3*b - 38. Determine c(13).
1
Let d(w) = w**3 + 9*w**2 + 17*w + 2. Calculate d(-7).
-19
Let l(w) = -w**2 - 9*w - 3. What is l(-8)?
5
Let k(y) = 21*y - 7. Determine k(1).
14
Let x(k) = 8*k - 2. Determine x(-3).
-26
Let h(u) = 20*u**2 + u. Calculate h(-2).
78
Let f(w) = -w**3 - 17*w**2 - 14*w + 24. Determine f(-16).
-8
Let m(j) = j**3 - 4*j**2 - 11*j + 30. What is m(5)?
0
Let d(g) = -g - 8. Calculate d(4).
-12
Let s(c) = -c - 26. Give s(-29).
3
Let i(z)
|
{
"pile_set_name": "DM Mathematics"
}
|
**2 + 113017290
What is the derivative of -57613073*v - 73505748 wrt v?
-57613073
Find the first derivative of a**2*m + 572*a**2 - 4232*a*m - 4*m - 1218343 wrt a.
2*a*m + 1144*a - 4232*m
What is the third derivative of -28961007*g**4 + 11264471*g**2?
-695064168*g
What is the third derivative of -5058832*o**5 + o**4 - 2*o**3 + 85447894*o**2 wrt o?
-303529920*o**2 + 24*o - 12
What is the first derivative of 3983745*g**4 - 878276?
15934980*g**3
Differentiate 4*t**2*w + 302168*t**2 + 20683*t*w + 13*t with respect to w.
4*t**2 + 20683*t
What is the derivative of -118868*h**3 - 3*h**2 + 11*h + 142713342?
-356604*h**2 - 6*h + 11
Find the first derivative of -l**2*p**2 + 29*l**2*p + 1498*l**2 + 4750*l*p + l + 38 wrt p.
-2*l**2*p + 29*l**2 + 4750*l
What is the third derivative of -292203784*k*t**3 + k*t**2 + 404*k*t + 43*k + 31*t wrt t?
-1753222704*k
What is the second derivative of -512928806*i**5 - 4706457*i + 72?
-10258576120*i**3
Differentiate 210*y**3 + 78205*y + 155736119 with respect to y.
630*y**2 + 78205
What is the third derivative of -302564*s**5 + s**4 + 7*s**3 - 19624*s**2 - 60*s?
-18153840*s**2 + 24*s + 42
What is the second derivative of 97193297*m**2 - 76106024*m?
194386594
What is the third derivative of 74*o**5*t**2 + 244*o**3*t**3 + o**2*t**3 + 2*o**2 - 7*o*t**3 - 10*t**3 + 246*t wrt o?
4440*o**2*t**2 + 1464*t**3
Find the second derivative of -256064756*o**2 + 24*o - 5890159.
-512129512
What is the second derivative of -23622513*r**2*t + 1479*r*t - 5247*r wrt r?
-47245026*t
Find the third derivative of -48989865*k**3 + 56771273*k**2 wrt k.
-293939190
Differentiate -15743834*m - 159625267 wrt m.
-15743834
What is the second derivative of 4700452*d**2*n - 2*d**2 - 899764*d*n + 1 wrt d?
9400904*n - 4
Find the second derivative of -133*b**5 - 137*b**3 - 5*b**2 - 2902*b + 128 wrt b.
-2660*b**3 - 822*b - 10
What is the first derivative of 1328203241*r - 144985137?
1328203241
Find the third derivative of -j**5 + 28081318*j**3*o - 10*j**2*o - 2011696*j*o wrt j.
-60*j**2 + 168487908*o
Find the first derivative of -v**3 + 18*v**2 - 5054*v + 2625673.
-3*v**2 + 36*v - 5054
What is the second derivative of -37516*r**4 + 75*r**3 - 4*r**2 - 40508335*r wrt r?
-450192*r**2 + 450*r - 8
Find the third derivative of 690*d*q**3 + 148*d*q**2 + 6895*q**3 + 251*q**2 + 2*q wrt q.
4140*d + 41370
What is the third derivative of -6319056*j**4*x - 2*j**3*x + 47*j**2*x - 2*j**2 - 33*j*x - 378*x wrt j?
-151657344*j*x - 12*x
What is the second derivative of -4*t**3 + 119126*t**2 - 2*t - 17146828 wrt t?
-24*t + 238252
Find the second derivative of 99624681*d**2*w**2 + 4*d*w**2 - 24*d - 126090*w**2 wrt d.
199249362*w**2
What is the first derivative of 2*i**4 + 4118659*i**2*r**2 + 43986964*r**2 wrt i?
8*i**3 + 8237318*i*r**2
Find the second derivative of 172963635*u**2 - 464669833*u.
345927270
What is the derivative of -82816*i**3 - 39*i**2 + 27078055?
-248448*i**2 - 78*i
Find the first derivative of -12457028*w - 61998814.
-12457028
What is the second derivative of 185763941*i**3 - 70897*i + 190?
1114583646*i
What is the second derivative of 104*l**3*u**2 - 4*l**3 - 29*l**2*u - 810*l**2 - 19014*u**3 wrt u?
208*l**3 - 114084*u
What is the derivative of -2*b**3*r**2 - 2782510*b**3 + 19*b*r + 3*b + 211*r**2 - 264*r wrt r?
-4*b**3*r + 19*b + 422*r - 264
What is the first derivative of 36993*j**2 - 32*j + 2863134?
73986*j - 32
Find the third derivative of -134304789*a**4 - 2*a**2 - 21455200 wrt a.
-3223314936*a
Find the third derivative of 1095861*r**5 + 258*r**3 + 623424533*r**2 wrt r.
65751660*r**2 + 1548
Find the third derivative of 54664*t**4 - 6*t**3 - 23*t**2 + 55*t - 97.
1311936*t - 36
What is the third derivative of -16113186*i**5 - 9*i**3 + 779218*i**2 - 282 wrt i?
-966791160*i**2 - 54
Differentiate -115950006*t**3 + 184157261 with respect to t.
-347850018*t**2
What is the third derivative of -499402477*l**5 + 82410*l**2 + l + 1053 wrt l?
-29964148620*l**2
What is the first derivative of 205197578*j**2 - 918647459?
410395156*j
Find the second derivative of -28*j*l**3 + 6*j*l + 93*j + 1132*l**3 - 240*l**2 + 4*l + 2004 wrt l.
-168*j*l + 6792*l - 480
What is the third derivative of 10528154*z**3 + 65816*z**2 + 44*z?
63168924
What is the third derivative of -s**5 + 14*s**4 - 169886*s**3 + 15*s**2 + 156829*s wrt s?
-60*s**2 + 336*s - 1019316
Differentiate -122809*l**3 + 625*l**2 + 247503445 wrt l.
-368427*l**2 + 1250*l
Find the second derivative of 9*b**5 - 5*b**4 - 254860*b**3 - 247609407*b.
180*b**3 - 60*b**2 - 1529160*b
Find the second derivative of -33*k**3*z**2 + 456310*k**3*z - 3*k**3 - 16385*k**2*z**5 wrt z.
-66*k**3 - 327700*k**2*z**3
What is the first derivative of -1629439*l**2 + l + 7698?
-3258878*l + 1
Find the second derivative of y**4 - 4452*y**3 - 31*y**2 - 475779*y + 3 wrt y.
12*y**2 - 26712*y - 62
Find the second derivative of 1486067*m**4 - 1133*m - 2526.
17832804*m**2
Differentiate 1209*f**3 - 370673*f - 548980057 wrt f.
3627*f**2 - 370673
What is the derivative of 69137117*x + 15322773 wrt x?
69137117
What is the second derivative of -2341966*l**3*q*r - 9*l**3*r - 32261*l*q + 2*l*r - 62 wrt l?
-14051796*l*q*r - 54*l*r
Find the third derivative of 123127194*u**3 + 340*u**2 + 19*u - 358.
738763164
Find the second derivative of -1038600414*d**5 - 1288614819*d.
-20772008280*d**3
Find the second derivative of -4*d**3 + 846851*d**2 + 109*d + 38578 wrt d.
-24*d + 1693702
What is the third derivative of 2986299*g**3*r**3 - 16*g**3*r**2 - 2*g**2 - 7*g + 4*r**3 - 2*r**2 + 17864*r + 3 wrt g?
17917794*r**3 - 96*r**2
Find the third derivative of 9*q**4 + 34760298*q**3 + q**2 + 263667194*q wrt q.
216*q + 208561788
Find the second derivative of 7*s**4 - 924983*s**2 - 8062432*s.
84*s**2 - 1849966
What is the first derivative of -32624507*i**2 - 90395504 wrt i?
-65249014*i
What is the second derivative of 12439930*b**5 + 3754027*b wrt b?
248798600*b**3
What is the derivative of -778*r**4 - 16*r**3 + 6213849?
-3112*r**3 - 48*r**2
Find the second derivative of 111257999*h**2 + 198798558*h.
222515998
Differentiate 9*t**2*u - 3*t**2 - 3*t*u + 1857*t + 19360066*u with respect to t.
18*t*u - 6*t - 3*u + 1857
What is the second derivative of -16946514*m**3 - 9145405*m wrt m?
-101679084*m
Find the second derivative of -357371929*p*q**2 + p*q + 36692*p + q + 5 wrt q.
-714743858*p
Find the third derivative of -221532232*m**3 + 26859*m**2 - 3740.
-1329193392
Find the first derivative of -8960253*y**4 + 7858846.
-35841012*y**3
What is the first derivative of -3*b*o**2 - 7097*b*o - 3*b - 4913*o**2 + 321987 wrt o?
-6*b*o - 7097*b - 9826*o
What is the second derivative of 61*g**4 + 11*g**3 + 485*g**2 + 27591399*g wrt g?
732*g**2 + 66*g + 970
What is the second derivative of -157275525*i**2 + 42*i + 43774?
-314551050
Find the second derivative of -2102868*b**2*z**2 + 7*b**2*z - 564348*b**2 - 10*b*z + 107*z**2 wrt z.
-4205736*b**2 + 214
Find the second derivative of 8*b**3*y**2 + b**3*y + 815*b**2 - 102*b*y - 615759*y**3 + 2*y wrt y.
16*b**3 - 3694554*y
What is the first derivative of 6299287*q**2 + 76938032?
12598574*q
What is the third derivative of 980*p**6 - 1829*p**4 + 56307*p**2 + 400?
117600*p**3 - 43896*p
What is the derivative of 4*b**4 - 2*b**3 - 2*b**2 - 53016*b + 5644186?
16*b**3 - 6*b**2 - 4*b - 53016
Find the second derivative of -486988*b**5 + 89*b**3*h - 94*b*h + 59*b - h + 2553 wrt b.
-9739760*b**3 + 534*b*h
Find the second derivative of -181640991*n**4 - n**2 - 3*n - 76546371.
-2179691892*n**2 - 2
What is the third derivative of 895356*b**4 + 10*b**3*v**3 + 8*b**3 - 8*b**2 + 26*b*v**3 + 2*b*v**2 - 112903*v**3 wrt b?
21488544*b + 60*v**3 + 48
Differentiate 18*t**3 + 118*t**2 - 3749*t - 84199795 wrt t.
54*t**2 + 236*t - 3749
Find the first derivative of -82330*l**4*y + 11*l**3*y**2 - 105*y**2 + 34*y - 20 wrt l.
-329320*l**3*y + 33*l**2*y**2
What is the third derivative of -58750666*p**5 + 2*p**4*v**2 + 352*p**2*v**2 + 330*p**2 - 11*v**2 wrt p?
-3525039960*p**2 + 48*p*v**2
Find the third derivative of 73*a**3*h**2 + 7507*a**3*h*t**2 - 8*a**2*h*t**2 + 119*a*h**2 - 2*a*t - 36*t**2 wrt a.
438*h**2 + 45042*h*t**2
Find the second derivative of -3515*p**5 - 476*p**2 - 34021*p - 2 wrt p.
-70300*p**3 - 952
What is the second derivative of o**5 - 26583*o**3 - 117*o**2 +
|
{
"pile_set_name": "DM Mathematics"
}
|
n or -1?
-1
Let x = 0.3 + -0.3. Let g = -0.2 - -0.5. Let y = x - g. Which is greater: 0 or y?
0
Let n = -3 - -2. Let b = 1 - n. Let d = 127/5 - 123/5. Is d at least as big as b?
False
Suppose 43 + 30 = -3*y + 5*t, 2*t + 54 = -2*y. Let b = y - -14. Let d be b/50*(-5)/2. Is d bigger than 2?
False
Let o be 0/(-2) - (-3 + 5). Suppose 4*n + 20 = -0*g - 4*g, 5*n = -2*g - 25. Is g at least as big as o?
True
Let b(y) = -y + 9. Let j be b(5). Let p = -2 + j. Do 2 and p have the same value?
True
Let r = 7/2 + -37/10. Let d be (-4)/((-8)/(-3))*(-14)/(-21). Which is smaller: d or r?
d
Let n = -1 + 2. Suppose 0 = 3*v + u - 6*u + 11, v + 5*u = 23. Let z = -2 + v. Do n and z have the same value?
True
Suppose -13 - 5 = -3*t. Suppose -3*o - 7 = -y + 8, y + 4*o + t = 0. Suppose -5*j + 0*c + c = -28, 0 = 4*j + 4*c - 32. Is y < j?
False
Suppose 0 = -f + 2*y - 9, -3*y = -1 - 5. Which is bigger: f or -2?
-2
Let d = -0.1 - -0.5. Let a = d + -1.4. Let w = -7 - -7.1. Is a smaller than w?
True
Let y be (0 + -3)*2/(-9). Suppose -9 = -5*g + 21. Let t = -4 + g. Is t less than or equal to y?
False
Let y = 35 - 19. Suppose 7*i - 3*i = -y. Is i greater than or equal to -4?
True
Let r(a) = -a**3 + 2*a**2 - 3*a + 8. Let d be r(3). Is 0.1 less than d?
False
Let v = 0.2 - 0.5. Let r = v - -3.3. Let k = -26 + 27. Are k and r non-equal?
True
Let b = 9 + 3. Suppose 3*v - 3*f + 15 = 0, 3*v - 5*f + b = -f. Let g = v - -11. Is 3 <= g?
True
Let p be (1/(-3))/((-10)/390). Which is smaller: p or 12?
12
Let l = -3 - -5. Let k be -1 + (-5)/(-15)*2. Is k bigger than l?
False
Let a = 569 + -6253/11. Let i be (4/20)/((-12)/15). Is a at most as big as i?
False
Let x(k) = k - 9. Let g be x(-4). Is -12 bigger than g?
True
Suppose t + 2 = 0, 10 + 0 = -4*v - 5*t. Suppose 3 + 9 = 4*a. Which is bigger: a or v?
a
Let p be (-1 - 1)/((-2)/8). Let o = p - 9. Which is greater: 0 or o?
0
Let l = -8 - -11. Let r be (-2 - 1)/l + -1. Which is smaller: r or -3?
-3
Let l(o) = -2*o + 5. Let g be (-2)/(-4)*-2 + 5. Let d be l(g). Is -2 at least as big as d?
True
Let q(b) = b**3 + 7*b**2 - 7*b + 3. Let g be (4/3)/((-1)/6). Let a be q(g). Is a bigger than -5?
False
Suppose 0 = -4*v + 2*v + 6. Suppose -f + v = -3*u - 2, 3*f - 15 = 5*u. Suppose 0 = -i - 2*i + 15. Are f and i equal?
True
Suppose -5*k + 16 = -9*k. Are k and -8 nonequal?
True
Let l = -0.6 - -1. Let i = 0.15 + -4.15. Let d = 2 + i. Is l at least as big as d?
True
Let j be -1 + (-1 - 4/(-1)). Let a(n) = n**2 - 3*n + 1. Let b be a(j). Let o(p) = -p**2 - p + 19. Let g be o(-5). Is b at least g?
True
Suppose -9 = 3*k + 5*b, -3*b = -5*k + b - 15. Let r = 1 - k. Suppose r = 3*v - 2. Is 1/2 != v?
True
Let c = 2 + 0. Is c greater than 23/3?
False
Let g be (11/(-2))/11*254. Is -128 < g?
True
Let p = -40.1 - -44. Let o = -0.1 - p. Is -2/3 equal to o?
False
Let u = -0.5 - -0.3. Suppose -1 = 5*x + 2*w, 3*w + 3 = -4*x + 5. Are u and x non-equal?
True
Let o = -25 + 4. Let v be 19/7 - 6/o. Do 3 and v have the same value?
True
Let x be (-278)/(-312) + 2/8. Let v = 5/6 - x. Which is bigger: v or 1?
1
Let i be ((-8)/6)/((-3)/9). Let h be (0 + -2)*2/i. Is h greater than -2/11?
False
Let h(l) = 4*l**3 + l - 5*l**2 - 8*l + 7 - 3*l**3. Let t be h(6). Is 0 at most t?
True
Let k = -11 - -34. Let m = 24.1 - k. Let t = m - 0.1. Is 1 not equal to t?
False
Let c(t) = 0*t**2 - 2*t - 5*t**2 + 0*t - 1. Let h be c(-1). Let u be h/(-16) + 1/(-20). Which is bigger: 1 or u?
1
Suppose -7*q + 113 = -3*q - y, 3*q - 84 = y. Let z = q - 88/3. Suppose -5*n = 3*l - 4*l + 2, 5*n = 4*l - 8. Which is smaller: n or z?
z
Let q = 1.3 - -1.7. Which is smaller: q or 2/15?
2/15
Let m = -0.59 + -0.01. Let w = 1.2 - 0.8. Let r = m - w. Is -1 at least as big as r?
True
Let i = 1394/7 - 200. Is -1 <= i?
True
Suppose -13*w + 15*w = -46. Is w at most as big as -22?
True
Let i = 2/11 + -19/44. Which is greater: 1 or i?
1
Let f be (1 - -1)*(1 + 4). Suppose 0 = 5*b - 3*v - 85, -2*b - 2*b + v + 61 = 0. Let a be 0 + (b/f - 1). Which is smaller: a or 0?
0
Let x = -30 + 20. Let i = -11 - x. Which is smaller: 1/5 or i?
i
Suppose 14 = 4*k + 2. Suppose k*y = y. Suppose 16 = -q + 4*o, y = 5*q - o - 0*o + 4. Which is bigger: q or -2?
q
Suppose -o = 12 - 3. Let s be (-4)/(-9) - (-2)/o. Is 0 greater than or equal to s?
False
Let l(t) = -t**2 + 4*t - 3. Let b be l(2). Is b < -4/17?
False
Suppose -7*m + 3*m - 4*o - 8 = 0, -4*m - 2*o = -2. Suppose w = 4, -m*w + 4*w = 4*t - 8. Let x be 2/2 + (t - 3). Which is bigger: x or -0.2?
x
Let k = -35 - 43. Is -1/3 <= k?
False
Let d(j) = j**2 - 12*j + 17. Let n be d(9). Are -11 and n unequal?
True
Let q = 10 - 13. Let y be (-1 + -2)*2 - q. Is y > -2?
False
Let t = -19 + 22. Are -1 and t equal?
False
Suppose -2*w = 5*t - 74, 4*t - 3*w - 60 = -5*w. Is t < -1?
False
Let r = 18 - 163/9. Let x(b) = 2*b**2 - 53*b + 26. Let o be x(26). Which is bigger: o or r?
o
Suppose -2*c + 6*c = -28. Is c equal to -6?
False
Suppose 39 = 5*i + 2*m, i = 5*m + 16 + 8. Is 9 less than or equal to i?
True
Let y = -5 - -7. Let n be -3 - (-1 - 5/(15/12)). Is n less than or equal to y?
True
Suppose 3*d + 1 = 46. Suppose -2*x + 0*x = -12. Suppose f - d = x*f. Which is smaller: f or -3/2?
f
Let s be (5 + -1)*11/(-22). Which is bigger: -1 or s?
-1
Let t = -2 + 1. Let a = 5 - 5. Let c be (0 + 1)*a/5. Is t smaller than c?
True
Suppose -5 = h, 0*x - 13 = -2*x - 5*h. Do 19 and x have the same value?
True
Let b(v) = 7*v - 5. Let u(z) = -8*z + 4. Let h(t) = 6*b(t) + 5*u(t). Let k be h(-8). Let g = k + 132/5. Are 1 and g equal?
False
Let b(w) = w**2 + 9*w - 6. Let q be b(-9). Let l be (-17)/(-14) - q/(-4). Which is smaller: -0.4 or l?
-0.4
Let f(q) be the third derivative of q**5/60 - q**4/12 - 2*q**3/3 - q**2. Let g be f(3). Let p = -28 - -29. Which is bigger: g or p?
p
Let q be 0/(2/((-6)/(-3))). Suppose 5*k = -q*m + m + 16, 4*m - 2*k - 8 = 0. Let z be (6/m)/((-6)/8). Is z < -3?
False
Let s(w) = 2*w - 7. Let j be s(-3). Which is greater: j or -14?
j
Suppose 2*s + 5 = -3*s. Let y be 100/6 - 1 - -2. Let d = y - 18. Which is greater: s or d?
d
Let w = 5/3 - 29/12. Let o = -5 - -3. Is w greater than o?
True
Let b = 15 + -7. Suppose -b*y + 24 = -5*y. Let r be (0 - -5) + (0 - -2). Is r greater than y?
False
Let b = 0.59 + -0.65. Is b > -5?
True
Let o = 8 - 6. Which is greater: 0.2 or o?
o
Let t = 28908/7 - 4293. Let b = t - -163. Is b less than or equal to 0?
True
Suppose 0 = -5*d + 4*d - 3. Let i be ((-10)/(-4))/((-1)/2). Is d > i?
True
Let m(f) = f**2 - 10*f - 10. Let d(t) = -t - 1. Let v(y) = 3*d(y) - m(y). Let j = 17 - 9. Let g be v(j). Are -1 and g unequal?
False
Let s = 2 - -112. Let w be 3/(-7) + s/21. Are 3 and w equal?
False
Suppose -r - 30 = 9*r. Let d be 7 + 0 + -1 + -1. Suppose -d*x = 16 - 1. Is x at least as big as r?
True
Let g(p) = 2*p**3 + 3*p**2 - 2*p - 3. Let s be g(-4). Is -2/9 >= s?
True
Let o be (-14)/42*(2 + -17). Suppose -o = -6*d - 11. Let k = 3 + -2. Is k equal to d?
False
Suppose -4*z + z - 24 = 0. Let g be z/(-3)*3/4. Is g at least 0?
True
Let w be ((-14)/(-5) - 3) + (-145)/25. Which is smaller: -1 or w?
w
Let i = -0.6 + 2.6. Let v = 69 - 65. Which is smaller: i or v?
i
Suppose 11*z = 12*z - 17. Is z != 2/5?
True
Suppose -3*m = 2*m - 20. Suppose -m*t = -2*z + 7*z - 21, -5*t + 18 = -2*z. Let u be 2 - (1/1 + z). Is u > -1/3?
True
Suppose -57*z + 52*z = 0. Does -5/29 = z?
False
Let d = -32.52 + 0.52. Is 0.1 != d?
True
Suppose -5*y + 4*c = -70, 2*y - 2*c - 6 = 22. Let i be 2*(26/y + -2). Is i < -0.1?
True
Suppose z + 4*m = 0, -2*z + 2*m = 3*z - 110. Are z and 20 non-equal?
False
Let l = 3 - 6. Let k = 4 - 6. Let t = 3 + k. Is l equal to t?
False
Let m(k) = k. Let l be m(8). Let f be (-3)/8*l/(-12). Are f and 0.3 nonequal?
True
Suppose -s = -5*j - 1184, 3*j - 4*j + 3*s = 248. Let q = -3538/15 - j. Is q at most 1?
True
Suppose o = -2*o + 147. Suppose 0 = -5*z - 3*q + 63, -3*q - 1 = 4*z - o. Let f be 40/z*3/4. Is 0 at most f?
True
Let p be (-7)/(-2) - 5/10. Let v(q) = -q**3 + 6*q**2 + 6*q + 10. Let j be v(7). Is p greater than or equal to j?
True
Let m = -2.2 + 5.2. Let x = 2.05 - 0.05. Is x >= m?
False
Suppose -o + 5*v = 21, 12 = -3*o + 2*v - 12. Is o less than or equal to -4?
True
Let y = 0.2 - 0.2. Let z = -1 + y. Let b = 3 + z. Which is smaller: 0.1 or b?
0.1
Let f = -1577/9 - -175. Is f at most 4?
Tr
|
{
"pile_set_name": "DM Mathematics"
}
|
-6, -3, -0.4, -0.1, 2/9, 21.5
Put 2/137, -226, 7 in decreasing order.
7, 2/137, -226
Put -9794, 13, -4 in descending order.
13, -4, -9794
Put -8, -3, 92, -4, -14 in decreasing order.
92, -3, -4, -8, -14
Put 4, -3/5, -30, -0.4 in ascending order.
-30, -3/5, -0.4, 4
Put -26, -140, 0, -5, -20 in descending order.
0, -5, -20, -26, -140
Put 2, 0.02, 277, -4, 3/2, 3 in decreasing order.
277, 3, 2, 3/2, 0.02, -4
Sort 5, -9, 3, -16, -49 in decreasing order.
5, 3, -9, -16, -49
Put 0.12956, 0.1, 10 in descending order.
10, 0.12956, 0.1
Sort 0, -1, -5, 717, 5 in descending order.
717, 5, 0, -1, -5
Sort -50, 3.02, -2, 11, 0.5.
-50, -2, 0.5, 3.02, 11
Put -162, -3998, 4 in increasing order.
-3998, -162, 4
Sort 3, -118292, -5.
-118292, -5, 3
Sort -0.2, 1, 63, -2, 10.
-2, -0.2, 1, 10, 63
Sort -1.8, 11.52, -2/85 in ascending order.
-1.8, -2/85, 11.52
Put 2711293, 1, -4 in decreasing order.
2711293, 1, -4
Put -10, -7, -48 in descending order.
-7, -10, -48
Sort -4, 9, -4250, 5, -5 in decreasing order.
9, 5, -4, -5, -4250
Sort 5/6, 17/4, -1/10 in descending order.
17/4, 5/6, -1/10
Put -14, -2, -1, -5, -4, 41 in decreasing order.
41, -1, -2, -4, -5, -14
Sort -0.5, -0.3, 5.5, 2.689 in ascending order.
-0.5, -0.3, 2.689, 5.5
Sort 36, 1, -212, 3 in decreasing order.
36, 3, 1, -212
Sort 25, 2/13, 4331.
2/13, 25, 4331
Sort -0.3, 18.1, 1, -6, 5, -3 in increasing order.
-6, -3, -0.3, 1, 5, 18.1
Sort 8, 24, 2, -1, 82 in ascending order.
-1, 2, 8, 24, 82
Put -4, 0.2, -3, 3/5, -67 in decreasing order.
3/5, 0.2, -3, -4, -67
Sort -3, 205, 0 in decreasing order.
205, 0, -3
Sort 7, 3384, 3, -1/2 in decreasing order.
3384, 7, 3, -1/2
Sort -7, 1, 68, 4, 2 in increasing order.
-7, 1, 2, 4, 68
Put 103, 2, 3, -1, 0, -2 in decreasing order.
103, 3, 2, 0, -1, -2
Put 0.3, -0.3, -10, -3/4, 2 in decreasing order.
2, 0.3, -0.3, -3/4, -10
Put 1/7, 30, 2/9, -1359, 5 in descending order.
30, 5, 2/9, 1/7, -1359
Put -0.5, 0.04, 5, -8/7, 4 in descending order.
5, 4, 0.04, -0.5, -8/7
Put -0.15, -949, -2/7 in decreasing order.
-0.15, -2/7, -949
Sort -151, -5, -100.4, -1/5 in descending order.
-1/5, -5, -100.4, -151
Put 0.3, -0.1, 2/47, 428 in decreasing order.
428, 0.3, 2/47, -0.1
Sort 16, 172, 35, -5 in decreasing order.
172, 35, 16, -5
Sort -0.2, -13, 5/4, 403/4, 5 in increasing order.
-13, -0.2, 5/4, 5, 403/4
Put 2, 6, -3, -12, 0.02 in decreasing order.
6, 2, 0.02, -3, -12
Put -59, -4, 1, -0.008, 7 in increasing order.
-59, -4, -0.008, 1, 7
Put 9, -2/9, -2, -77, 4 in decreasing order.
9, 4, -2/9, -2, -77
Sort 0.04, 3/7, -0.3, -2/7, -5 in decreasing order.
3/7, 0.04, -2/7, -0.3, -5
Sort 1, -2, -15, -4, 21 in ascending order.
-15, -4, -2, 1, 21
Sort -587, -0.6, 4, 1.1 in descending order.
4, 1.1, -0.6, -587
Sort 1/5, 12, -0.1, 2, -9/5 in increasing order.
-9/5, -0.1, 1/5, 2, 12
Sort 1, -11, 382, -8.
-11, -8, 1, 382
Put 4/3, 1, 12.6, -2/11 in decreasing order.
12.6, 4/3, 1, -2/11
Sort 23/4, 2/3, 0.4, 32/5, 1 in increasing order.
0.4, 2/3, 1, 23/4, 32/5
Sort 130, -8, -2/23, 0.3.
-8, -2/23, 0.3, 130
Sort -2, -5, -305, 2 in ascending order.
-305, -5, -2, 2
Put -108, 129, 4 in descending order.
129, 4, -108
Sort 4, 56, 5, -4, -3 in decreasing order.
56, 5, 4, -3, -4
Put 117, 0.11, 0.6, 3/8 in decreasing order.
117, 0.6, 3/8, 0.11
Sort 155/11, -3/7, -5, -2, 1.5.
-5, -2, -3/7, 1.5, 155/11
Put 5, -3/5, -2/23, 5/4, 86 in descending order.
86, 5, 5/4, -2/23, -3/5
Sort 403, -4, 19, 3, 4, -2 in descending order.
403, 19, 4, 3, -2, -4
Sort -4, -2, -556, -628.
-628, -556, -4, -2
Sort 4, -124, 5, -6 in decreasing order.
5, 4, -6, -124
Put -2/9, 0.13, -4, 333, -23 in increasing order.
-23, -4, -2/9, 0.13, 333
Sort 2, -85, 6816 in descending order.
6816, 2, -85
Sort -1/11, -1001, 0, -1, -26.
-1001, -26, -1, -1/11, 0
Sort 0.07, -3, -1057/39 in decreasing order.
0.07, -3, -1057/39
Put 5, 0, 4, 14214 in increasing order.
0, 4, 5, 14214
Put 3/7, -12, -7, 12, -1 in decreasing order.
12, 3/7, -1, -7, -12
Sort 5, -405103, 2 in descending order.
5, 2, -405103
Sort -4, -3, -156, -12.
-156, -12, -4, -3
Put 3, 7, -31, 1, -1 in increasing order.
-31, -1, 1, 3, 7
Sort -33, -34, -7.
-34, -33, -7
Sort -1286, -1, 15, -38 in increasing order.
-1286, -38, -1, 15
Put -24, 0, 42 in decreasing order.
42, 0, -24
Sort 24, 74, 0, 4, 2, -6.
-6, 0, 2, 4, 24, 74
Sort 103, 0, -2071 in ascending order.
-2071, 0, 103
Put 5, 0, 27662 in decreasing order.
27662, 5, 0
Sort 2/5, 13, -3.1, 2.4, -1/5 in descending order.
13, 2.4, 2/5, -1/5, -3.1
Sort -3, 4, -5, -531, 17, 2 in decreasing order.
17, 4, 2, -3, -5, -531
Sort -112, -6, 0, -15, -1 in ascending order.
-112, -15, -6, -1, 0
Put 0.4, -146, 48, 7 in descending order.
48, 7, 0.4, -146
Sort 0.1, 0.0256, 20, -2/11 in increasing order.
-2/11, 0.0256, 0.1, 20
Sort 0.3, -3/7, 97, -11 in descending order.
97, 0.3, -3/7, -11
Put 0.4, 1, -0.249, -4/11, -1/10 in decreasing order.
1, 0.4, -1/10, -0.249, -4/11
Sort -2/83, 0.1, 661/4 in increasing order.
-2/83, 0.1, 661/4
Put -2, -5, 41458 in descending order.
41458, -2, -5
Put -8, 3, -1856, -5 in descending order.
3, -5, -8, -1856
Sort 0, -2, -7, -339, 1 in descending order.
1, 0, -2, -7, -339
Sort -4, -1, 4113, 2, 52, -2.
-4, -2, -1, 2, 52, 4113
Put 153, -3, -294 in decreasing order.
153, -3, -294
Sort 76, 2, -4, -5 in decreasing order.
76, 2, -4, -5
Put 4, -3, 4894, 0, -4, 1 in decreasing order.
4894, 4, 1, 0, -3, -4
Sort 19, -7, -2, -229 in decreasing order.
19, -2, -7, -229
Put -3, -3/4, -90, -461 in descending order.
-3/4, -3, -90, -461
Sort 30, 3, -99, -1, 0.
-99, -1, 0, 3, 30
Put -84, -4, 0, 114 in descending order.
114, 0, -4, -84
Put -14, -834, -5, -2, 3 in decreasing order.
3, -2, -5, -14, -834
Sort 0.01024, -3/4, 0.1, -5, 0.
-5, -3/4, 0, 0.01024, 0.1
Put -2, 1, -33, -4, -48, -62 in descending order.
1, -2, -4, -33, -48, -62
Put 1, 47031, -2 in descending order.
47031, 1, -2
Sort -761, 3, 0, 1 in descending order.
3, 1, 0, -761
Sort -0.2, -13.8, 4, -0.08, 1 in descending order.
4, 1, -0.08, -0.2, -13.8
Put 18, -2, 21, 3, 2 in decreasing order.
21, 18, 3, 2, -2
Put 0.1, 1/2, -2/25, -1/752, -3 in descending order.
1/2, 0.1, -1/752, -2/25, -3
Put -4, 0, -28774 in increasing order.
-28774, -4, 0
Put 4, 14, -2, 8 in decreasing order.
14, 8, 4, -2
Sort 2, -6, 5039 in decreasing order.
5039, 2, -6
Put 2, 0, -7, 747, 1 in ascending order.
-7, 0, 1, 2, 747
Put -4, -7266, -3/5 in decreasing order.
-3/5, -4, -7266
Put 2, 15, 16056, -2, -1 in descending order.
16056, 15, 2, -1, -2
Put 4, 2, -97, -2, 29 in ascending order.
-97, -2, 2, 4, 29
Put -688, -25, -0.2, 0 in increasing order.
-688, -25, -0.2, 0
Sort -711, -14, -8 in ascending order.
-711, -14, -8
Put -738, 1, -4, 13 in decreasing order.
13, 1, -4, -738
Sort 5, 2586, 1 in descending order.
2586, 5, 1
Sort -3, 497, -7, 2/3, 1/3, 0.4 in decreasing order.
497, 2/3, 0.4, 1/3, -3, -7
Sort 25, 12, 152, -1 in decreasing order.
152, 25, 12, -1
Put 1, 322/27, 3, -0.2 in descending order.
322/27, 3, 1, -0.2
Sort -54, -3, 3/2, -4, -5, 1 in ascending order.
-54, -5, -4, -3, 1, 3/2
Put 5, -3, 335, 10 in descending order.
335, 10, 5, -3
Sort 16, -7, 20.
-7, 16, 20
Sort 21, -1, 7, 1, 2 in increasing order.
-1, 1, 2, 7, 21
Sort 1, -7, -73, -33 in increasing order.
-73, -33, -7, 1
Sort 75/8, -0.3, -0.4, -5, -4, -2/9 in decreasing order.
75/8, -2/9, -0.3, -0.4, -4, -5
Sort 5, -5, -4, 1160, -2, 2.
-5, -4, -2, 2, 5, 1160
Sort -176348, -3, 0 in decreasing order.
0, -3, -176348
Put -2/5, -0.03, -50, -2, 2, 1 in decreasing order.
2, 1, -0.03, -2/5, -2, -50
Sort 19, 10, -1548 in decreasing order.
19, 10, -1548
Put 137, -4, 3, -1, -8 in increasing order.
-8, -4, -1, 3, 137
Put -14/3, 1/6, 2, -0.003 in descending order.
2, 1/6, -0.003, -14/3
Sort 7900, -5, -3 in ascending order.
-5, -3, 7900
Put -7, -30/7237, 2 in increasing order.
-7, -30/7237, 2
Sort -6/7, -35, -0.4, 3, 116/5.
-35, -6/7, -0.4, 3, 116/5
Sort -12, -4, -4660, -11, 2 in descending order.
2, -4, -11, -12, -4660
Sort 4102, -2, 35 in decreasing order.
4102, 35, -2
Sort -223, 7, 12 in descending order.
12, 7, -223
Sort 5/4, 6871/15, 3/5.
3/5, 5/4, 6871/15
Sort -2/3, 12, -0.4, 1/3, 0.5 in increasing order.
-2/3, -0.4, 1/3, 0.5, 12
Put -1, -3, 0.11, 36/5, 3/7 in decreasing order.
36/5, 3/7, 0.11, -1, -3
Sort 0.2, 2893, 4, 0 in descending order.
2893, 4, 0.2, 0
|
{
"pile_set_name": "DM Mathematics"
}
|
.8. Let g = -0.2 + 0.1. Which is the nearest to 1/2? (a) g (b) y (c) 0.5
c
Let y = -10.32 + 11.72. What is the nearest to -2 in y, -4/7, 4?
-4/7
Let s = -5 + 2. Suppose 3*v = 2*x - 2, 2*v + 2*v - 4*x - 4 = 0. Let d be (6/52)/((-18)/(-24)). What is the closest to 0 in v, d, s?
d
Let u be 2/(-6) - (-2)/(-3). Let l be 70/9 + 4/18. Let r be l/12 - (-2)/(-4). What is the closest to 0.1 in 2, r, u?
r
Let m = -3 - -2.8. Let z = -5.5 - -9.5. What is the nearest to m in z, -0.1, -3?
-0.1
Let g = -6.48 + 23.48. Which is the closest to -0.1? (a) 5 (b) g (c) 4
c
Let h be ((-2)/35)/(3/(-30)). Let j = 0.0363 + -0.0363. What is the nearest to j in 1/5, h, -0.5?
1/5
Let s = -0.2 - -2.2. Let u = 0.26 + -3.26. What is the nearest to s in -2, u, -2/13?
-2/13
Let l = 2 + 0. Let n = l + -1. Let u = 0.023 - -1.977. What is the closest to n in -3, -0.1, u?
u
Let u be ((-4)/(-10))/(4/(-6)). What is the closest to 2/11 in -0.3, -2/7, u?
-2/7
Let g = -25 + 25.3. Let q(m) = -m**2 - 4*m - 2. Let a(b) = -b**2 - 6*b - 9. Let p be a(-4). Let f be q(p). What is the nearest to f in 0.5, 1/3, g?
0.5
Let r = 1220/7 + -174. Let i(v) = 2*v**3 + v**2 - 2*v + 3. Let n be i(-2). What is the closest to 0.1 in r, 0.8, n?
r
Let p = 16.9 + -16.9. Let h = -0.34 - -6.74. Let k = h - 6. Which is the closest to p? (a) 4 (b) -2 (c) k
c
Let g = -0.08 - -0.18. Which is the closest to -1? (a) 4 (b) g (c) 0.09
c
Let p be (11/(-5) - -3)/(50/75). Let s = -0.4 - -5.4. What is the nearest to 0 in p, -2, s?
p
Let x be (1*-4)/(-119 - -101). What is the nearest to -2/9 in x, 4, -0.05, -1?
-0.05
Let u = 501 + -496. Which is the nearest to 0.1? (a) u (b) -0.7 (c) -0.05 (d) -0.4
c
Suppose 16 = 3*d - k, -3*d + k + 10 = 6*k. Let f = -2.09 + 1.09. What is the closest to 0.1 in 4, d, f?
f
Suppose 14*j = 10*j - 12. Let x(u) = -2*u**2 - 11*u - 20. Let r be x(-9). Let n = 413/5 + r. Which is the nearest to -2/3? (a) j (b) n (c) -0.3
b
Let w = -616 - -614. Which is the closest to w? (a) 3/2 (b) 4 (c) 1 (d) -1/2
d
Let s be 2320/(-510) + (-6)/51 + 5. What is the nearest to -3/2 in s, -1/3, 1?
-1/3
Let z = 0.0732 - -3.9268. Which is the nearest to -0.04? (a) z (b) 0.5 (c) -0.5
c
Let z = -10 - -11. Let i = 3.66 + 0.34. Let x be (2 + 0)*4/14. What is the closest to z in i, -5, x?
x
Let t = 6 - 5.7. Let r = -18422.1 + 18422. Which is the nearest to r? (a) 0.1 (b) t (c) -5
a
Let y(v) = 4*v**2 + 25*v + 11. Let j be y(-6). Let f = -0.6 - -2.6. Which is the closest to f? (a) -0.3 (b) 1/3 (c) j
b
Let h = -118 - -113. What is the closest to h in -0.4, 5/2, -0.1?
-0.4
Let y = 37 - 71. Let t = y + 37. What is the nearest to -0.1 in 1/3, 0, t?
0
Let m = -7.183 - 0.017. Let z = 7 + m. Suppose 5*r + 5*w - 20 = 0, -2*r + 0*r + 2 = -4*w. Which is the nearest to z? (a) -4/9 (b) -1 (c) r
a
Let u = -2.99 - 0.01. Let d = -5749/5418 + -4/387. Let y = 59/42 + d. Which is the nearest to -3/2? (a) y (b) u (c) 3
b
Suppose -4*p + 3*o = 44, 3*p + 29 = 2*o - 3. Let k = 44 + -47. What is the closest to 1/2 in p, k, 2?
2
Suppose -2*m - 5*t = 10, 5*m - 3*t - 29 = -2*t. What is the closest to 0 in -1/6, m, -2/13?
-2/13
Let u = -39 + 39.3. Let l = -12 + 9. Let j = 0 + -0.1. Which is the closest to j? (a) u (b) l (c) 2/27
c
Let k be (-16)/12*1 + (-946)/(-645). Suppose 6*d - 2*d = -24. What is the nearest to -1 in k, d, -0.5?
-0.5
Let z(y) = y**3 + 2*y**2 + 2*y - 28. Let q be z(0). Let w be ((-15)/((-2625)/q))/(2/(-5)). Let n be 2/(-3)*3/1. What is the closest to -0.2 in n, w, 5?
w
Suppose 0 = 5*g + 9 + 6, 5*k = -4*g - 2. Let d = -5/11 + 107/187. What is the nearest to k in d, 1, -3/5?
1
Let r = -28/31 - -10/217. Suppose -1175 = 4*i - 291. Let p = i + 1987/9. Which is the closest to 2/3? (a) r (b) p (c) -2/11
c
Let j = 64 - 64.4. Which is the nearest to 0.1? (a) -0.8 (b) j (c) 0 (d) 16/3
c
Let k be ((-2)/(-4))/(30/(-180)). What is the closest to -3/5 in k, 4, -1/3?
-1/3
Let p = 9.1 - 9.5. What is the closest to -2 in -0.03, p, 1/5?
p
Let h = -0.17 + 2.17. Let w be 1 - 3/60*18. What is the closest to 3/4 in h, w, -0.1?
w
Suppose -5*n + 11 = 6. Let j be 10/55 + (-1893)/1760. Let o = 3/32 + j. Which is the nearest to n? (a) o (b) -1/3 (c) 1/5
c
Let i = 105 + -106. Let t = -10 + 9. Which is the closest to t? (a) 4 (b) i (c) 3
b
Let w = 88 - 88. What is the closest to 0.3 in w, 21, 1/3?
1/3
Suppose -2*j = 3*h - 4, 3*j = -2*j - 20. Let f(d) = 5*d + 1. Let y be f(-1). Let x be (-3)/y*(-24)/(-81). What is the closest to 0.4 in x, -1, h?
x
Let v = 82 + -78. Let i = 0.13 - 0.1. Which is the closest to -0.1? (a) i (b) v (c) 3
a
Suppose p + p = 0. Let w be 40/(-24) - (2/2)/(-1). What is the nearest to p in -2/15, w, -0.4?
-2/15
Let o = -0.1 + 2.1. Let b = -1 + -1. Let g be (-1 - 13) + 11 - 1. What is the closest to -2 in g, o, b?
b
Let o = 0.1 - 0. Let k(u) = -u**3 - 26*u**2 - 161*u - 19. Let d be k(-16). Which is the nearest to o? (a) d (b) 2/3 (c) -3/4
b
Let g(l) = 46*l + 505. Let f be g(-11). Which is the nearest to f? (a) 2 (b) -5 (c) 9
a
Let g = 14 - 13.5. Let o = -6.7 + 7. Let u = o - 5.3. Which is the closest to -0.1? (a) 3 (b) u (c) g
c
Let h = -15.49 - -15.59. Let m = 0.1 - 1.1. What is the nearest to h in 0.9, m, 2/7?
2/7
Let n = 31 + -31. What is the closest to n in 0.07, -2/7, -0.5?
0.07
Let n be (-4)/(-28) + 0 + (-38)/70. Which is the nearest to 0.7? (a) -2/9 (b) n (c) -0.2 (d) 1/2
d
Let g = 932/8493 - 2/447. Which is the nearest to 0? (a) 1 (b) -13 (c) g
c
Let c = -39073571/170793 - 8/18977. Let l = c + 229. Suppose 11 + 14 = 5*m. What is the nearest to -1/4 in l, m, 4?
l
Let a = -999/4 + 249. Let v be -2 + 10/4 + -3. Let h = 2229/7 - 319. What is the nearest to 0.2 in v, a, h?
h
Let u = -0.19684 + -0.10316. Let t = -5 + 9. Which is the nearest to u? (a) t (b) 0.1 (c) -0.5
c
Let v = 167 + -167.3. Which is the nearest to 1? (a) 0.4 (b) 0.14 (c) v
a
Let g = -88.9 + 34.9. Which is the nearest to -1? (a) g (b) 2/15 (c) -1
c
Let c = -48.9 + 49. What is the nearest to c in 1, 2/11, 0.06?
0.06
Let w = -12.976 + -0.024. Let c = -20.3 + 2.3. Let q = c - w. What is the nearest to 0.1 in q, -3, 0.2?
0.2
Let z be (-2 - -1)/((-1)/1). Let k = -7307 + 7304. What is the nearest to 2 in 3/2, z, k?
3/2
Let x = -115 - -113. What is the nearest to 0.2 in x, -0.3, 1/5, -1?
1/5
Let x = -1.18 - -0.18. Let p be 6/(-33) + 1*(-5)/(-330). What is the closest to x in 3, -1, p?
-1
Let b = 3 + 0. Let w = b + -2. Let c = -6224/897 + 274/39. What is the nearest to w in c, -4, 5?
c
Let v = 239 - 235. What is the nearest to -51 in 0.7, -0.3, v, -1/2?
-1/2
Let g = -2 - -2.3. Suppose -2*x = 4 - 6. Let d be (0 - x) + -3 - -9. What is the nearest to g in -3, -1/6, d?
-1/6
Let x = -105.9 + 106. What is the nearest to x in 2, -0.1, -5/4, -5?
-0.1
Let j = -2791/19 - -147. Which is the closest to -2? (a) 0.1 (b) j (c) 0
c
Let r = 1386/5 + -278. Let q = -0.3 - -0.2. Which is the nearest to r? (a) 4 (b) q (c) 2
b
Let j = 4/155 + -672/2015. What is the nearest to -0.1 in j, -0.4, 1/9?
j
Let k = 370 - 372. What is the closest to 0.06 in -1/8, -0.2, k?
-1/8
Suppose -8*f + 1040 = -4*f. Let j = f + -393. Let p be j/273 - 1/(-3). Which is the closest to 0? (a) 0.6 (b) -1/4 (c) p
c
Let f = 0.041 - -1.959. Which is the nearest to -4? (a) f (b) 4 (c) -5
c
Let r be (-16 - -16)/(4/(-1 - -5)). What is the closest to r in 13, -0.2, -5?
-0.2
Let s = -7 + 6. Let z be (-12)/30*10/(-26). What is the nearest to 0.1 in z, s, 0.05?
0.05
Let f = -4 - -7. Let d be 18/(-12)*6/(-9). Let o be (27/(-42))/(-9)*(-3 + d). What is the nearest to -1/5 in o, -4, f?
o
Let s(a) = 5*a + 3. Let b be s(-1). Let y = 3/85 - -48/85. What is the closest to -1 in y, -0.47, b?
-0.47
Let z = 31 - -58. Let n = 88 - z. Let g be 4/6 - 3/(-9). What is the nearest to n in -0.5, g, -0.2?
-0.5
Let l = -24/11 + 28/33. Let v(g) = 3*g + 7. Let q be v(-4). Which is the closest to 1? (a) l (b) q (c) 0.4
c
Let y(p) = p**3 + 5*p**2 + 11*p + 9. Let k be y(-2). Which is the closest to k? (a) 0.5 (b) 63.6 (c) 3/2
a
Let h = 953 - 3813/4. What is the closest to 2 in h, 0.5, -3?
0.5
Let q be (-14)/(-15) - ((-20)/(-15) + -1). Which is the closest to q? (a) 5 (b) -1 (c) 4 (d) -3
b
Let q be (6 - 440/77)/((-1)/7). Which is the nearest to q? (a) -3/7
|
{
"pile_set_name": "DM Mathematics"
}
|
**(-12/7)*(n/(n**(1/3)/n))/n*n*n**(1/4)*(n*n**(1/7))/(n*n/n**2) assuming n is positive.
n**(-31/84)
Simplify ((j/j**(-7))/(j/j**17)*((j**(-3/16)*j)/j)/j*((j*j*j**(2/35))/j)/j*j*j*j*j)**(-2/31) assuming j is positive.
j**(-15047/8680)
Simplify (t**7/(t/t**(-5/2)))/(t/(t*t**1)*t)**(-4/23)*((t**(-2)/t)**(-49))**(4/7) assuming t is positive.
t**(175/2)
Simplify (r**33)**(-42)/(r**(-27)*r)**41 assuming r is positive.
r**(-320)
Simplify ((y*y**(-2/3)*(y**(2/21)/y)/y)/(y**(-10)/(y*(y/(y**(-25)*y))/y)))**(2/115) assuming y is positive.
y**(468/805)
Simplify (((x/(x/x**(-2/35)))/x)**(-15)/(x**13)**(-9))**(-25) assuming x is positive.
x**(-23250/7)
Simplify (((q**(-6)*q*q*q*q**(-18)*q*q*q*q)**(1/20))**(-2/49))**(-1/22) assuming q is positive.
q**(-17/10780)
Simplify ((a/(a/a**(-1/11))*a)**13/(a/((a*a**(1/10))/a)*a**(5/4)))**(-30) assuming a is positive.
a**(-6381/22)
Simplify (((p**(-6)*p*p*p)**(-48))**49)**(-44) assuming p is positive.
p**(-310464)
Simplify ((g**(2/3)/g**(2/17))/(g**(1/3))**(-22))/((g/(g/g**(-3)*g))/g**(-1/3)*g*g/(g/(g*g*g**(-2/23)*g*g*g))*g*g**(-4)) assuming g is positive.
g**(10130/1173)
Simplify (p/((p*p/p**(1/15)*p)/p))**(-7)*((p/(p**(-18)/p))/p)/p*p**3*p assuming p is positive.
p**(428/15)
Simplify (q/(q*(q**30*q*q)/q)*q/(q/((q*(q/q**(-11))/q)/q))*q*q/(q/(q*q*q**(-10)*q))*q*q**12*q)**(-39) assuming q is positive.
q**468
Simplify (((r**(-1/7)/(r/r**(-8/5)))/(r/r**3)**(-36))**18)**(-2/45) assuming r is positive.
r**(10464/175)
Simplify ((u**(-11)/u)/((u/u**(2/27))/u)*(u*u**(2/9)*u)**(-3/10))**(1/3) assuming u is positive.
u**(-340/81)
Simplify ((m**(-1/22)*m*m)/m*m)/((m**(-37)/m)/m)*m**(9/2)/m**(1/2) assuming m is positive.
m**(989/22)
Simplify ((((d**(-1/3)/d)**(-12/17))**(-28/3))**36)**(-8/9) assuming d is positive.
d**(14336/51)
Simplify ((((m*m*m**(-4)/m)/m*m*m)/m)/(m**(1/2)/m))/((m/m**5)/(m*m**2*m))*(m**(-1/2))**(1/9)*m**(2/5)*m/((m/(m/m**(-5)*m))/m) assuming m is positive.
m**(623/45)
Simplify (y*y**(-1)*y*y*y**(-4))**29/((y**(2/13)*y/(y*(y**(-3/5)/y)/y))/(((y/(y/(y*y/(y/(y/y**(-2/11))))))/y)/y**(1/10))) assuming y is positive.
y**(-85331/1430)
Simplify ((p/(p/p**(-3))*p)**(-1/30))**45*(((p/p**(2/3))/p)/p)**1/(p**6/((p*p**(2/11))/p)) assuming p is positive.
p**(-148/33)
Simplify (((y*y/(y/y**(-1/44)))/(y**(8/9)/y))/((y**(3/23)*y)/y*y**(-38)))**40 assuming y is positive.
y**(3548290/2277)
Simplify (d**(-17/3))**(-37)/((d*d**(-26))/d**(-39)) assuming d is positive.
d**(587/3)
Simplify (((b**(-2/5)/b**5)**(-2/31))**(-50))**(-2/81) assuming b is positive.
b**(40/93)
Simplify ((y**(-1/4))**2/((y**(1/11)/y)/(y*y/y**(-2/15))))/(y**(-2)/y*y**3/y*y*y)**10 assuming y is positive.
y**(-2461/330)
Simplify ((h/(h/h**(-1/12)*h))**(-4)*h*h/(h**(-4/7)/h)*h**(-16/9)/h)**20 assuming h is positive.
h**(6460/63)
Simplify (((r*r*r/(r*(r**0/r*r*r)/r))/r)**(-25/4))**14/(r**(1/7)*(r/((r**7/r*r)/r))/r*(r**0)**48) assuming r is positive.
r**(-1143/14)
Simplify ((t**(-1/4)/t)/t*t**(-3/8)/t)/(t**(2/7)*t)**(1/28)*(t/(t/t**(-1/6)))/t**(1/2)*(t*t**(-1))**(-19/4) assuming t is positive.
t**(-5101/1176)
Simplify (m/m**(2/7)*m)**38/(m**2/((m/((m*m**(2/5))/m)*m)/m))*(m**(1/2))**(-20)*(m*m**(2/3))/(m*m/m**(2/5)) assuming m is positive.
m**(1130/21)
Simplify ((v**(-1/17))**(-8/13)/(v**(10/7)/v)**(-25))**48 assuming v is positive.
v**(798288/1547)
Simplify (((w**(3/5)/(w*w**(1/11)))/((w*w**(-6)*w)/w*w/(w*w**(-4))*w))**(-17))**33 assuming w is positive.
w**(1377/5)
Simplify ((z**(2/3)/(z**(1/4)*z))/(z**1)**7)/((((z/z**6)/z)/z*z**(2/21)*z)/(z/(z*z**(-1)*z))**(-48)) assuming z is positive.
z**(-47/28)
Simplify (((u*u**1)/u)**(-25)*(u**(-2)/u)/u**4)/(((u*u**1)/u*u/(u*((u*u**2*u)/u*u*u)/u))/((u*(u**(-1)/u)/u*u)/u*(u**(-2/3)*u)/u)) assuming u is positive.
u**(-95/3)
Simplify ((j**(-1/16)*j**2/j*j)/(j*(j/(j*j/j**(-17)*j))/j*j/((j*j**(1/3))/j)))**(-33) assuming j is positive.
j**(-10703/16)
Simplify ((h/h**(-2/5))/(h**6*h))**49/((h*(h*h/(h**(1/2)*h)*h)/h)**39/(h/h**(-3)*h**5)) assuming h is positive.
h**(-3239/10)
Simplify (((h*h**3*h)/h*h*h)/(h/h**(3/7))*(h**(1/2)/h)**(1/4))/(((h*h*h**(-4)*h*h)/h*h)/h**(-5)*(h/h**(1/3))**20) assuming h is positive.
h**(-2189/168)
Simplify ((f/f**(-7)*f*(f*(f/((f*f**(-11)/f)/f*f)*f*f)/f)/f*f*f*f**6/f**(2/7))**(1/19))**(2/23) assuming f is positive.
f**(416/3059)
Simplify ((t*t**(-30/13)*t/t**43)/(t/(t/(t*t**17/t))*(t**10*t)/t))**(30/13) assuming t is positive.
t**(-27420/169)
Simplify ((o*o/o**(-3/2))**(6/17)/(o/(o/((o*o*o/(o/((o*o**(7/3))/o))*o*o*o)/o)*o)*o)**(-2/41))**(1/12) assuming o is positive.
o**(3229/25092)
Simplify (((t*t**14)/((t*t**(-15)*t)/t))/(t**13/(t/(t*(t/(t*t*t/t**(-1/11)*t)*t)/t)*t)))**21 assuming t is positive.
t**(4641/11)
Simplify ((w/w**(-3/7))/(w/(w*w**(-1/10)/w)))/((w/w**(-2/27)*w)/w**6)*((w/w**5)/w*w*w**(-1/3)/w)/((w/w**6)/w*w/(w/(w**6/w))*w) assuming w is positive.
w**(-2039/1890)
Simplify ((h**7*h**(-2)/h*h*(h*h**3)/(h*(h*h**(-2/11)/h)/h))**(2/89))**(-27/4) assuming h is positive.
h**(-2727/1958)
Simplify ((m**(-5)/m*m*m*m**4*m**(-1)/(m/(m**(-2/3)*m)))**(-39))**(1/12) assuming m is positive.
m**(65/12)
Simplify (((z*(z/(z/(z*(z*z**(-2))/z*z))*z)/z)/(z**(-2)/z))/(((z/(z**(-1/13)/z*z))/z)/((z*z**(-7))/z)))/(z**(5/4)/z*z*z**(-3))**26 assuming z is positive.
z**(1103/26)
Simplify ((c**(-3/4))**(1/17)*(c*c*c*c**(-3/8))/(c**(17/4)/c))**1 assuming c is positive.
c**(-91/136)
Simplify (g/((g**(-1)*g*g)/g))/(g**(3/5)/g)*(g/g**(-7/5)*g*g)/g*g**(-15) assuming g is positive.
g**(-51/5)
Simplify ((m**5)**(4/11))**(-14/9)/((m*m**(-2/3)/m*m)**(-21/4))**(-6/17) assuming m is positive.
m**(-11599/3366)
Simplify ((v**(-2))**17*v**7*v*v*v**(2/13))**(-7/6) assuming v is positive.
v**(2261/78)
Simplify ((t**(-2/11)/t**(-19))/(t**(-7)*t*t)**11)**(3/7) assuming t is positive.
t**(348/11)
Simplify (((k/((k**(-29)*k)/k))/((k*k/((k*k**(-10/13)*k)/k))/k))/((k*k**(-9/5))/(k*k**44/k)))**9 assuming k is positive.
k**(43308/65)
Simplify o/((o/o**(-2/3))/o)*o**(1/7)*o**(-5/4)*o*o*o**(-4)*o*(o**(-1)/((o/(o**(-2)*o))/o))**(37/5) assuming o is positive.
o**(-6961/420)
Simplify ((z/z**(-25)*z**(1/4))/((z/z**(-1/20))/(z/(z*z**17))))**(-38) assuming z is positive.
z**(-1558/5)
Simplify z**15*z/(z**(-38)/z)*(z*z**(2/43)*z*z)**(-2/5) assuming z is positive.
z**(11563/215)
Simplify (l/(l*l/(l**(1/2)/l)*l)*l**(-2/21)/l)/(l**(-1/2)/l)**(-26)*(l**(2/23)*l/(l/(l*l**(-8)*l)))/(l*((l/l**5)/l)/l*l/(l*l/l**(2/9))) assuming l is positive.
l**(-123833/2898)
Simplify ((j**(-5/3))**(-31)/(j/(j/(j**(3/4)/j)))**(-17))**(-4/11) assuming j is positive.
j**(-569/33)
Simplify ((h**(-2)/h**(-9))/(h/h**(-4))**(-23))**(-20/7) assuming h is positive.
h**(-2440/7)
Simplify (k**(-1/5)/(k/((k**34*k)/k*k))*k*k**34*k*k**(-13)/k*k*k*k)**41 assuming k is positive.
k**(12054/5)
Simplify (r**(1/4)/r*r**(-6))/(r**(-2/17)/(r**7*r))*(r/(r/(r**(2/5)*r)*r))**(-1/3)*r**(2/3)*r/r**(3/5) assuming r is positive.
r**(2347/1020)
Simplify (((p**(-37)/p)/p)/p**(-30))/(p**(-8/17)/((p*p/(((p*p*p**(-21)*p)/p)/p)*p)/p*p)) assuming p is positive.
p**(246/17)
Simplify ((q*q**4)/q**(1/11))**(-17)/(q/(q**(-1/4)*q)*q**(-1/8)*q)**(-44) assuming q is positive.
q**(-747/22)
Simplify ((r*r*r**1/r)/r*r**6*r)**(-29)*r**(-4/7)*r*r**6*((r*(r/(r**(1/2)*r))/r)/r)**(39/4) assuming r is positive.
r**(-13451/56)
Simplify c**(-1)/(c**(-1/3)/c*c)*c**(-5)/(c*c**(-6)*c)*c/(c**(-3/8)/c*c)*c*c/(c/(c*c/c**3)*c)*(c*(c**(-1)/c)/c)**(-1/7) assuming c is positive.
c**(-169/168)
Simplify ((v**2*v**(-2))/((v**0*v)/(v/((v**(-5)*v)/v))))/(((v*v*v**(-6))/(v/(v**(1/3)*v)*v))/(v*v**(-1))**(6/11)) assuming v is positive.
v**(29/3)
Simplify ((p/p**(-1/7))/p)/p*p**4*(p**1*p)/(p*p**0*p)*(p*p**1*p)**(-1)*(p**(-2/9)/p)/(p*p**1*p) assuming p is positive.
p**(-257/63)
Simplify (r**(-3)*r*(r/r**(-6))/r)**(-1/10)*r**(-1)/(r/(r**(2/13)/r))*(r**1)**(-43/5) assuming r is positive.
r**(-154/13)
Simplify (((b/((b*((b/b**3)/b)/b)/b))/b)**8)**(-14)*((b/(b/b**8))/b**0)**(-2/11) assuming b is positive.
b**(-4944/11)
Simplify ((i*i**(1/3)*i)/(i/i**(1/12))*(i*i/((i*(i**(20/3)*i)/i)/i))/i*i**(-21))**(-3/11) assuming i is positive.
i**(303/44)
Simplify ((r*r/(r**5*r)*r**1/r*r)/(r**(-3/7)/(r/((r*r**(3/11)/r)/r))))/(r*r**8*r*r/(r/(r**9/r*r))*r)**(-2/47) assuming r is positive.
r**(25/3619)
Simplify (p/p**(-1/3)*p**(-1/2)*((p**(2/3)*p)/p)**(-4/9))/((p*(p
|
{
"pile_set_name": "DM Mathematics"
}
|
*2 + 18*i - 43. Let k be g(5). Which is the smallest value? (a) -4 (b) 0.5 (c) k
a
Let z = 17474/15 + -1165. Let g = -0.05 - -0.45. Which is the biggest value? (a) g (b) 1 (c) z (d) -5
b
Let q = -1.5 + 1. Let y be 38/(-95) - (-24)/10. Which is the second smallest value? (a) q (b) y (c) 8
b
Let l = 1183 + -1183.2. What is the fourth smallest value in 1/5, -1, 0.5, l?
0.5
Let f = 77 + -252. Let r = f + 178. Let t be ((-2)/16)/(2/2). Which is the third biggest value? (a) r (b) -1/3 (c) t
b
Let m(d) = -58*d**3 - 3*d**2 - 23*d + 25. Let u be m(1). What is the smallest value in -2/7, -3, u?
u
Let l = 17 - 12. Let z = -0.16 - -10.16. Which is the second biggest value? (a) l (b) z (c) -0.2
a
Let j = -3.94 - -4. Let o be (-132)/28 - 2 - -7. Which is the biggest value? (a) j (b) o (c) 0.1
b
Let m be (-1)/2*2/(-3). Let s be (-7 - (-133)/21)*3. What is the third smallest value in -6, s, m?
m
Let w be ((528/55)/(-8))/(-3). Which is the biggest value? (a) -4 (b) w (c) -0.5 (d) -12/7
b
Let u = 87 - 90. Suppose g = -4*n + 8, 2*n - 6 = g - 2. Suppose g*z - 4*z - 24 = 0. What is the second biggest value in 3, z, u?
u
Let p = 48 + -43. Let h = 7/6 + -13/10. What is the second smallest value in h, 3, p?
3
Let r = -375 - -362. What is the fourth biggest value in 0.1, r, 2, 1?
r
Let l = -293 - -292.8. Which is the second smallest value? (a) 1.3 (b) 3 (c) l (d) 1/5
d
Let x = 4/13 + -11/78. Let v = 3/214 - 455/1926. What is the third biggest value in 5, -0.3, x, v?
v
Let w be (-9)/(-3) - (4/18 - -3). Let u = 0.44 + 5.66. Let z = u - 6. Which is the third smallest value? (a) z (b) w (c) -0.06
a
Let m = -3.4 - -3. Let k = 4.7 - 4.7. Which is the second smallest value? (a) m (b) 2/5 (c) k
c
Let q be -1 + 9/20 + (-7)/35. Which is the second smallest value? (a) 3 (b) q (c) -17
b
Let w(d) = 2*d - 16. Let z be w(14). Let j be -4 - z/(-15)*10/4. Which is the second biggest value? (a) 1 (b) -0.6 (c) j
b
Let i = -125 - -125. What is the third biggest value in i, 454, 4, -1?
i
Suppose -2*m - 3*a - 75 = m, -3*m - 80 = -2*a. Let l be 1 + 1 + m/14. Let q = 929/40 - 118/5. What is the second smallest value in l, 1, q?
l
Let u = 19 + -27. Let p = -11 - u. Let d = 7379 - 7378.9. Which is the second biggest value? (a) p (b) d (c) -4
a
Let o be (3/(-12))/((-7)/(-42)). What is the third biggest value in -0.04, o, 0.004?
o
Let q = -0.373 - -0.073. Let s = 1 - 5. Which is the third biggest value? (a) s (b) q (c) 2
a
Let r = -2 - 2. Let n = 0.46 - 4.06. Let d = n + 3.1. What is the second biggest value in 1/2, r, d?
d
Let o = 479 - 479.211. Let p = -4.211 - o. Let d(r) = r + 7. Let y be d(-3). Which is the biggest value? (a) p (b) y (c) -0.4
b
Let u(y) = y**2 - y - 4. Let w be u(3). Let l = -22 + 31.6. Let p = -10.1 + l. What is the biggest value in w, p, -3?
w
Suppose -4*d - 3 + 67 = 0. Suppose 0 = 50*n + 409 + 491. Let k = n + d. Which is the third biggest value? (a) 2/3 (b) 0.2 (c) k
c
Let p = 0.34 - -0.06. Let t = -2/7 + 25/14. Let h be -1*(-2)/(-12*1). Which is the third biggest value? (a) h (b) t (c) p
a
Let u be (3/(-2) + 0)/(27 - 23). What is the fourth smallest value in -7, u, 5, 1/3?
5
Let p(w) = -w**2 + 3*w + 33. Let d be p(6). What is the biggest value in d, 1/4, -3?
d
Let g be (136/204)/((-16)/(-6)). Let z = 612/5 + -123. Which is the third smallest value? (a) 0 (b) g (c) z
b
Let f(l) = -2*l**2 + 14*l - 13. Let b be f(4). Let h be -1 - ((-2)/b - 515/495). Let x = -5 + 8. What is the biggest value in x, h, -0.4?
x
Let m(s) = s**2 + 4*s + 10. Let p be m(-6). Suppose g + g - p = -4*k, -23 = -5*k - g. Which is the second smallest value? (a) k (b) -0.2 (c) 2
c
Let z be -2 + 136/20 + 4/(-5). Let n = 42.2 - 42. Which is the second biggest value? (a) 3/7 (b) z (c) n
a
Let i(o) = 5*o**3 + 2*o**2 + 2*o + 1. Let f be i(-1). Let n = -0.138 - 4.862. What is the second biggest value in f, n, -1.1?
f
Let b be (16/60)/(6*7/(-63)). What is the biggest value in b, 1/3, -3, -12?
1/3
Let w = 44592/61 - 731. Let k = -66/305 + w. Which is the smallest value? (a) 4 (b) k (c) -3 (d) 5
c
Let q be ((-452)/64 + 7)*-24. Let r be (-9 + -1)*(-2 + 1). Let u be 2 - (-2 + 46/r). What is the biggest value in q, u, 1/3?
q
Suppose -2*p - 8 = -5*k, 4*p + 6 = 4*k + k. Let q be ((-18)/(-315))/(k/(-10)). Which is the second smallest value? (a) q (b) 1/2 (c) 0.2 (d) -2/15
d
Let w be 6/(-3) - 9*(-104)/72. Let n(l) = l**2 - l - 1. Let f be n(3). What is the fourth biggest value in w, f, -2/5, 0.5?
-2/5
Let p = 15 - 15.01. Let r = 3.01 + p. Let l be (12/(-9))/(6/9). Which is the biggest value? (a) 2/15 (b) l (c) r
c
Let i = 22 - 19. Suppose m = -4*s, m - i*s = 8 - 1. Which is the biggest value? (a) 1/8 (b) m (c) 0
b
Let g = 982 - 980. Which is the third biggest value? (a) -7.4 (b) g (c) 4
a
Let c = 16/507 + -8833/231699. Let u = -21614/20565 - c. Let r = -4/9 - u. What is the second biggest value in -0.04, 3/4, r?
r
Let v = 0.6 - -2.4. Let a = 2.9 - v. What is the biggest value in a, -2, -3/5?
a
Let h = -457 - -457.2. What is the second smallest value in h, 175, 0.3, 4?
0.3
Let q = -2 + -0.4. Let o = 2.55 - q. Let s = o + 0.05. What is the third biggest value in s, 0.5, 4?
0.5
Let m = 17.95 + 0.05. Let d = 17.8 - m. What is the second biggest value in -5, 4, d?
d
Suppose -56 + 6 = 2*y. Let u = 2103/52 + -854/13. Let q = y - u. Which is the third smallest value? (a) 2/19 (b) q (c) -2/11
b
Suppose 69 - 4 = -5*q. Let i = -4 - q. Let x = -7 + i. Which is the biggest value? (a) -0.1 (b) -1/5 (c) x
c
Suppose -j + 5*v - 1 = -5, 5*v = 3*j - 12. Let m be (-4)/(-4)*(-5 - (-52)/8). What is the biggest value in j, m, 2/5?
j
Suppose 0 = 43*o - 41*o - 10. Let g = -1 + 0. Let z = -2 + g. What is the third biggest value in 2, o, z?
z
Let q be (1/(-21))/(20/120). What is the biggest value in -4, -1/5, -1, q?
-1/5
Let d be ((-3)/((-18)/(-20)))/(80 - 82). Let w = -4 - -4.4. Which is the second smallest value? (a) w (b) d (c) 2/9
a
Suppose v - 2*v + d - 8 = 0, 2*v + 4*d - 8 = 0. Let w = -358 + 9665/27. Which is the third biggest value? (a) w (b) 1 (c) v
c
Suppose x - 3 = -1. Let a = 0.261 + 0.239. What is the smallest value in a, -3, x?
-3
Let j = 32.24 - 32. Let o = 1.76 + j. Which is the second biggest value? (a) 0 (b) -0.4 (c) o
a
Let j be -1 + (-4)/((-52)/15). What is the fourth biggest value in 1.2, j, 2, -1?
-1
Let o = 135.7 + -140. Let k = 0.7 - o. Which is the second biggest value? (a) 0.01 (b) k (c) 0 (d) 2
d
Let i = -11.5 + 19.5. Which is the second smallest value? (a) i (b) -3 (c) 0.2 (d) -3/7
d
Let l = 1/17 - 19/34. Suppose -2*q + 2 = -5*r + 3*r, 0 = q + 3*r - 17. Suppose 0*i = -q*i + 25. Which is the second biggest value? (a) -2/3 (b) i (c) l
c
Let n be 60/225*13810/(-7). Let x = 526 + n. What is the smallest value in -5, x, -0.5?
-5
Let p = -213 + 213.063. Which is the fourth biggest value? (a) -0.4 (b) 1/3 (c) p (d) -4
d
Suppose -k - k - 18 = -5*q, 5*k + 20 = 0. Let u = -7664.99 + 7665. What is the third biggest value in u, q, -2?
-2
Suppose -2*v - 3*z = -8*z - 20, -5*z + 5 = 3*v. Let g = -242 - -241.7. Which is the smallest value? (a) v (b) -0.5 (c) g
b
Let h = 0.9 - 0.813. Let f = h + 1.913. Let g = -0.46 + 0.06. Which is the second biggest value? (a) -2/7 (b) g (c) f
a
Let s = 32.3 - 36.3. What is the smallest value in 4, -3, -6, s?
-6
Let i be 4 + (-210)/49 + (-114)/42. Let l(k) = -k**2 + k - 4. Let c be l(8). Let h = c - -239/4. What is the second smallest value in h, i, 1?
h
Let h = -5 - -3. Let m = -7 - -14. Let k = 10 - m. Which is the second biggest value? (a) h (b) k (c) 4
b
Let z = -18/17 + 123/68. Let h = 37 + -41. Let x be (-8)/2*(-5)/(-2). What is the biggest value in x, h, z?
z
Let d = -27 - -27.4. Let v = 0 + d. What is the second smallest value in v, 0.5, 3/7?
3/7
Let n be (2 - (-18)/(-8))*-2. Let x = -0.359 - -0.259. What is the second biggest value in n, x, 1/5?
1/5
Let a = 10 + -10.5. Suppose 5*s + 5*n = 10, 2*s - 3*n + 10 = -6. Let f be (-95)/(-342)*s/5. What is the second biggest value in a, -0.3, f?
-0.3
Suppose -4*b + 30 = -5*b. Let g = b + 33. Let j be (-4)/10 - (-16)/65. What is the third smallest value in -3, g, j?
g
Let t be (0 + 0 - (-11 - -14)) + -1. Let f(l) = 6 - 3*l - 3*
|
{
"pile_set_name": "DM Mathematics"
}
|
5, 416361, 416357?
416353
What is next in -145, -204, -263?
-322
What is the next term in 788863, 788859, 788853, 788845?
788835
What is next in 159, 168, 177, 180, 171, 144?
93
What comes next: 279468, 279477, 279486, 279495?
279504
What comes next: 5903, 47066, 158791, 376358, 735047, 1270138?
2016911
What is next in 403, 815, 1233, 1657, 2087, 2523?
2965
What is the next term in -7228, -7218, -7202, -7180, -7152, -7118, -7078?
-7032
What comes next: -11262, -22525, -33786, -45045, -56302?
-67557
What comes next: -2321, -2604, -3085, -3770, -4665, -5776, -7109?
-8670
What comes next: -241, -2014, -6853, -16294, -31873, -55126?
-87589
What comes next: 2476, 2538, 2646, 2806, 3024, 3306, 3658?
4086
What is the next term in 11029, 22051, 33073, 44095?
55117
What is next in 491, 437, 345, 215, 47?
-159
What comes next: -343, -199, -39, 143, 353, 597, 881?
1211
What is next in 30287, 30208, 30129, 30050?
29971
What is next in -244442, -488885, -733328, -977771?
-1222214
What comes next: -1273, -2546, -3819?
-5092
What comes next: -2812, -3305, -3782, -4237, -4664, -5057?
-5410
What is next in 4913, 9889, 14867, 19847, 24829?
29813
What is the next term in 62, 381, 700, 1019, 1338?
1657
What is next in -18707, -18706, -18705, -18704?
-18703
What is next in -306, -573, -802, -987, -1122, -1201, -1218, -1167?
-1042
What is next in 546748, 546750, 546752, 546754?
546756
What is the next term in -1272, -2554, -3810, -5028, -6196, -7302, -8334, -9280?
-10128
What comes next: -1150, -800, -448, -94, 262, 620?
980
What is the next term in 1699, 3421, 5153, 6895?
8647
What comes next: 25288, 25257, 25206, 25135?
25044
What is next in -409, -447, -485, -523, -561, -599?
-637
What is next in -3190, -6398, -9606, -12814, -16022?
-19230
What is next in -408, -97, 224, 561, 920, 1307, 1728, 2189?
2696
What comes next: 7347, 7383, 7443, 7539, 7683?
7887
What is the next term in -21354, -21358, -21362?
-21366
What is the next term in 1905, 1802, 1699?
1596
What comes next: 37, 159, 369, 667, 1053, 1527, 2089?
2739
What is next in -833, -3271, -7335, -13025, -20341, -29283?
-39851
What comes next: -93, -279, -537, -855, -1221?
-1623
What is next in -7877, -15751, -23625, -31499, -39373, -47247?
-55121
What comes next: -1782, -1867, -2038, -2319, -2734, -3307?
-4062
What is next in 13524, 27054, 40584, 54114?
67644
What is the next term in 8319, 16640, 24961?
33282
What is next in 404838, 404837, 404836?
404835
What is the next term in -372, -444, -566, -738, -960, -1232?
-1554
What comes next: 52, -234, -982, -2414, -4752, -8218, -13034?
-19422
What is the next term in -166, -1415, -4826, -11485, -22478, -38891, -61810, -92321?
-131510
What comes next: 2154, 2506, 2872, 3258, 3670?
4114
What is next in -128869, -128892, -128951, -129064, -129249, -129524?
-129907
What is next in 1701, 3823, 5945, 8067, 10189, 12311?
14433
What is the next term in -920, -1635, -2098, -2183, -1764, -715, 1090?
3777
What is the next term in 1284, 2558, 3832, 5106, 6380?
7654
What comes next: 118, 247, 378, 511?
646
What is the next term in -61, -256, -583, -1042, -1633, -2356, -3211?
-4198
What comes next: 701, 2982, 6845, 12284, 19293?
27866
What is the next term in 3504, 7010, 10514, 14016?
17516
What is next in -378, -482, -582, -678, -770, -858, -942?
-1022
What comes next: -16503, -33021, -49539, -66057?
-82575
What comes next: 146009, 292039, 438069, 584099, 730129?
876159
What comes next: -23, -95, -227, -419, -671?
-983
What is next in -58191005, -58191009, -58191015, -58191023, -58191033, -58191045?
-58191059
What is next in 630, 627, 630, 639, 654?
675
What comes next: -63, -113, -149, -165, -155, -113, -33, 91?
265
What is next in 5980, 11949, 17912, 23869?
29820
What is next in 213670, 213668, 213666, 213664, 213662, 213660?
213658
What is the next term in -806817, -806813, -806807, -806799?
-806789
What comes next: -384, -295, -206, -117?
-28
What is the next term in 492, 896, 1338, 1812, 2312?
2832
What is the next term in 390, 1743, 4344, 8475, 14418, 22455, 32868?
45939
What comes next: -1851, -3734, -5615, -7494, -9371, -11246?
-13119
What is the next term in -703, -121, 461?
1043
What comes next: 1630, 1611, 1592, 1573, 1554?
1535
What is next in -15813, -31633, -47453, -63273, -79093, -94913?
-110733
What comes next: -148, -155, -246, -463, -848?
-1443
What comes next: 5596, 5602, 5608, 5614, 5620?
5626
What is next in -1433, -1347, -1181, -917, -537, -23, 643, 1479?
2503
What is next in -188, -196, -196, -182, -148, -88, 4?
134
What is the next term in 15117, 15111, 15093, 15057, 14997, 14907?
14781
What is the next term in -209, -269, -325, -377, -425?
-469
What is the next term in 4248, 8572, 12884, 17178, 21448, 25688?
29892
What comes next: 153, 575, 1269, 2235?
3473
What is the next term in -19, -2, 73, 236, 517, 946, 1553?
2368
What comes next: -140730, -140732, -140734?
-140736
What is next in 2352, 4701, 7030, 9333, 11604, 13837?
16026
What is the next term in -11601, -11602, -11603, -11604?
-11605
What comes next: 14721, 14679, 14635, 14589, 14541, 14491, 14439?
14385
What is the next term in 1642, 3263, 4872, 6463, 8030, 9567, 11068?
12527
What is the next term in -49414, -49410, -49406, -49402, -49398?
-49394
What is next in 252, 502, 766, 1050, 1360, 1702, 2082?
2506
What is the next term in -235, -353, -471?
-589
What is the next term in 601, 1257, 1967, 2731, 3549?
4421
What comes next: 5555709, 11111419, 16667129, 22222839?
27778549
What comes next: 28909, 28907, 28905?
28903
What is next in -5928, -6021, -6114?
-6207
What is next in -1568, -3135, -4694, -6245, -7788?
-9323
What is next in 25660, 51307, 76950, 102589, 128224, 153855?
179482
What is next in 1290, 4316, 9360, 16422, 25502, 36600?
49716
What is the next term in -1330, -1340, -1350, -1360?
-1370
What comes next: -232, -286, -338, -388, -436, -482, -526?
-568
What is next in -342, -680, -1006, -1326, -1646?
-1972
What is the next term in 6029, 11994, 17959?
23924
What is next in -978, -987, -996, -1005, -1014?
-1023
What comes next: 605, 599, 585, 557, 509, 435, 329, 185?
-3
What is the next term in -113, -323, -717, -1379, -2393?
-3843
What is the next term in 91, 263, 531, 943, 1547, 2391, 3523?
4991
What is the next term in -4369, -4346, -4313, -4270?
-4217
What is next in -62, -532, -1828, -4364, -8554?
-14812
What comes next: 13076, 26165, 39262, 52373, 65504, 78661?
91850
What comes next: 19982, 19986, 19990, 19994?
19998
What comes next: -181036, -181037, -181038, -181039, -181040?
-181041
What is the next term in -785, -1554, -2301, -3020, -3705, -4350, -4949?
-5496
What comes next: -55, -200, -531, -1120, -2039, -3360, -5155?
-7496
What is the next term in 2492, 5004, 7516, 10028, 12540, 15052?
17564
What is the next term in -1140, -4561, -10260, -18237?
-28492
What is next in 30753, 30766, 30801, 30870, 30985, 31158, 31401, 31726?
32145
What comes next: 870433, 870434, 870435?
870436
What comes next: -9455, -18911, -28367, -37823, -47279, -56735?
-66191
What is the next term in 116, -6, -154, -334, -552, -814, -1126, -1494?
-1924
What comes next: -19076, -19084, -19104, -19136, -19180?
-19236
What comes next: -646802, -646799, -646796, -646793?
-646790
What is the next term in 4700, 18756, 42182, 74978, 117144?
168680
What is the next term in 99448, 99440, 99420, 99382, 99320, 99228, 99100?
98930
What is the next term in 177461, 177441, 177389, 177287, 177117, 176861?
176501
What is next in 49, 81, 125, 181, 249?
329
What comes next: 229, 239, 273, 337, 437, 579, 769?
1013
What is the next term in 47, 75, 113, 149, 171, 167?
125
What is the next term in -13626, -27243, -40860, -54477, -68094?
-81711
What comes next: 14412, 14425, 14438, 14451?
14464
What is the next term in 11611, 23226, 34841, 46456?
58071
What is the next term in 1327, 1523, 1731, 1957, 2207, 2487, 2803?
3161
What comes next: 11479, 45905, 103281, 183607, 286883?
413109
What is next in 37509, 74904, 112299, 149694, 187089?
224484
What is the next term in 131867, 131858, 131849, 131840?
131831
What is the next term in -256, -1014, -2276, -4042, -6312, -9086?
-12364
What is next in -18, -75, -184, -369, -654, -1063, -1620, -2349?
-3274
What comes next: -3791, -15176, -34185, -60842, -95171, -137196?
-1869
|
{
"pile_set_name": "DM Mathematics"
}
|
3*f**5 + 1)*(2 + 1 - 2) + (8 - 4*f - 8)*(2*f**2 - 2*f**2 + 2*f**4).
-5*f**5
Expand (-2*k - 2*k + 5*k)*(141 - 141 + k)*(5 - 2 - 4).
-k**2
Expand (2 - 2*c**3 - 2)*(7 + 13 - 34).
28*c**3
Expand (u - 2*u + 3*u)*(3548 - 3548 + 43*u**4).
86*u**5
Expand (8 - 22 - 6)*(-a + a + 2*a).
-40*a
Expand -8 + 26*s + 8 + (1 + 2 - 4)*(-s + 3*s + 2*s).
22*s
Expand (-2 + 2 + 2*j)*(-2*j - j + 6*j)*(4 - 5 + 0).
-6*j**2
Expand (-4*l - 5*l + 6*l)*(3*l + 0*l - l)*(-3 - 4*l + 3).
24*l**3
Expand (-4*j**3 + 0*j**3 + 3*j**3)*(-j + 2*j - 2*j + (1 - 2 + 4)*(-3*j + 3*j + j)).
-2*j**4
Expand (47 - 25 + 55)*(2*u - 1 + 1).
154*u
Expand (-w**5 - 3*w**5 + 2*w**5)*(-15 - 16 + 30) + 2*w**5 + 4*w**5 - 5*w**5.
3*w**5
Expand -2*t + t + 2*t + t + 3*t - 2*t - 3*t - t + t + (-t + 0 + 0)*(6 - 2 - 3).
-t
Expand (8*o - 2*o - 2*o)*(o**2 - 4*o**2 + 2*o**2).
-4*o**3
Expand (2*n + 0*n - 3*n)*(2 - 3 - 3) + 4*n + 0*n - 2*n + (2*n - 2*n - 2*n)*(-2 + 0 + 0) - 4*n + n + n + 0*n + 0*n + 2*n.
10*n
Expand (-2*v + 4 - 4)*(-2*v + 1 + 0*v + 3*v).
-2*v**2 - 2*v
Expand (-d**2 + d - d)*(-1 - 3 + 2) - 3*d + 3*d + d**2 + 2.
3*d**2 + 2
Expand (-5 - 2 + 3)*(0 + 0 - x)*(1 + 5 - 2).
16*x
Expand (-17*j**2 + 5*j**2 + 0*j**2)*(3*j**2 + 5*j**3 - 3*j**2).
-60*j**5
Expand (2 - 2 + 3*y**5)*(3 - 2 + 5).
18*y**5
Expand (6*f**2 - 4*f**3 - 6*f**2)*(-58 + 58 + 2*f**2).
-8*f**5
Expand (-b - 5*b + 5*b)*(9 - 17 + 12 + 4*b**2).
-4*b**3 - 4*b
Expand ((-u**3 - 3*u**2 + 3*u**2)*(-6*u + 3*u + u) + 4*u**4 + u**4 - 6*u**4 - 3 + 3 + 2*u**4)*(3 - 3 + 1).
3*u**4
Expand (-3 + 3 + h)*(-6*h - 4 + 1 + h).
-5*h**2 - 3*h
Expand (0*g - 4*g + 6*g)*(3 - 3 - 4) - g + 2*g + 2*g - 4*g + 0*g + 5*g - 3*g - 3*g + 4*g.
-6*g
Expand (-4*v**2 - 5*v + 5*v)*(-2*v**2 + 3*v - 3*v) + (-3*v**3 + 3*v**3 - v**4)*(2 - 1 - 3) - 3*v**4 + v**4 + 3*v**4.
11*v**4
Expand (-2*s - 2 + 2 + 1)*(2*s + 0*s + 0*s).
-4*s**2 + 2*s
Expand (-r**3 - 3 + 3 + (-3 + r + 3)*(0*r**2 - 3*r**2 + 5*r**2) + 2*r**3 + 2*r - 2*r)*(r + r + 3*r).
15*r**4
Expand p - 2*p - p + (0*p + 2*p + 0*p)*(5 - 2 - 4) + 0*p - 3*p + p + (-3*p - 8*p + p)*(-2 + 4 + 0) + 1 + p - 1.
-25*p
Expand -2 - 2 + 2 + v + (v - 4*v + 6*v)*(-5 + 2 + 1).
-5*v - 2
Expand (4 - 4 - 2*k)*(2*k**4 + 0*k**2 + 0*k**2) - 1 + 1 - 3*k**5.
-7*k**5
Expand 1 - 1 + 2*q + (1 + 1 + 0 - 3 + 2 + 2 + (-1 - 1 + 3)*(6 - 3 - 4) + 4 - 5 + 2)*(6 - 6 - 5*q).
-13*q
Expand 2*g - 2*g + 2*g + g - 3*g + 0*g - g - 2*g + g + (-g - 2*g + 2*g)*(5 + 2 - 5) - 3*g - g + 3*g.
-5*g
Expand -3 + w**3 + 3 + 4*w**3 - 2*w**3 + 0*w**3 + (-2*w - 5*w + 5*w)*(-3*w**2 + 2*w**2 + 5*w**2) - 2*w**3 - w + w - w**3 + 0*w**3 + 3*w**3.
-5*w**3
Expand (-3 + 0 + 2)*(3*y + y + 13*y + (5 - 1 - 3)*(-2*y + 2 - 2)).
-15*y
Expand (2 - 3 + 4 + (1 + 3 - 6)*(1 + 0 + 1))*(-2*p**2 - 2*p**2 + 2*p**2).
2*p**2
Expand (-v + v + 3*v)*(1 + 0 - 5).
-12*v
Expand (0*u**2 - u**2 + 2*u**2)*(2*u - 5*u + 2*u)*(-5 - 3 + 7).
u**3
Expand (d - d + 2*d**2)*(6*d**3 - 3*d**3 + 0*d**3) - d**5 - d**5 + 4*d**2 - 3*d**2.
4*d**5 + d**2
Expand (12*m + 7*m - 5*m)*(-1 + 2*m + 1)*(3 + 1 - 3).
28*m**2
Expand (3 - 3 - 2*s)*(20*s + 12*s - 55*s).
46*s**2
Expand (-3*y - y + 2*y)*(3 - 2 + 3) + y + 6 - 6.
-7*y
Expand 2*i**4 - 2*i**4 + i**5 + (i - 2*i - i)*(5*i**4 - 4*i**4 - 3*i**4).
5*i**5
Expand 20*g + 82*g + 65*g + (-2 - 3 + 7)*(-5*g + 5*g - 2*g).
163*g
Expand (0*n**3 - 6*n - n**3 + 3*n)*(1 - 4 + 4 + (-1 - 1 + 1)*(-3 - 2 + 4) + 0 + 0 - 2 + 2 + 3 - 6 + 1 + 1 + 4).
-5*n**3 - 15*n
Expand (-1 + 2 + 1)*(0 - g + 0)*(1 + 2 - 1) - 3*g + g + 4*g.
-2*g
Expand (2*v**3 - v + v)*(-v + 1 - 1) - 7*v**4 + 3*v**4 + 2*v**4 - v**4 + 6*v**4 - 3*v**4 + 7*v**4 - 2*v**2 - v + 3*v**2 - 2*v**4.
3*v**4 + v**2 - v
Expand (0*u**2 - 2*u**2 - u**3 + 14 - 11)*(2*u - 6*u + 3*u).
u**4 + 2*u**3 - 3*u
Expand (7*l - 4*l - 17*l)*(-2*l + 2*l + 2*l)*(-2 + 2 - 2*l**2).
56*l**4
Expand ((4*a - 5*a - 2*a)*(0*a + a - 2*a) + 3*a**2 - 3*a**2 + a**2)*(-2*a**2 + 2*a**2 + 2*a**3).
8*a**5
Expand ((2 + 1 - 2)*(0 + 0 + 2) - 3 - 1 + 1 + (0 + 0 + 2)*(4 - 2 - 4))*(i**3 + 2 - 2).
-5*i**3
Expand (-t**3 - 3 + 3)*(-5*t + 0*t + 3*t) + 33*t - t**3 + 3*t**4 - 33*t.
5*t**4 - t**3
Expand (2 - 2 - 2*r**3)*(-1 + 0 + 2)*(0*r + 3*r + 0*r).
-6*r**4
Expand (3*q**3 + q**2 - q**2)*(-9 - 6 + 3).
-36*q**3
Expand (1 - 1 - 8*k)*(k - k - 3*k).
24*k**2
Expand (0*o + 3*o - o)*(2*o**3 + 0*o**3 - o**3) - 4*o**4 + 2*o**4 + 3*o**4 + 2*o**2 - o**4 - 2*o**2.
2*o**4
Expand -2*n**3 - n**3 + 0*n**3 + (n + 0*n + 0*n)*(-n**2 - 5*n**2 + 2*n**2) - 12*n**3 - 5*n**3 - 6*n**3.
-30*n**3
Expand (0*x**3 + 4*x**4 + 0*x**3)*(-x + 2*x + 5*x)*((5 - 2 - 1)*(-2 - 4 + 5) - 4 + 3 + 0).
-72*x**5
Expand -2*t - 2*t**3 + 2*t + (2*t + 0*t + 0*t)*(-t**2 - 2*t**2 + 0*t**2) + 4*t**3 + 2*t**3 - 5*t**3 + 2*t**3 + 3*t**3 - 2*t**3.
-4*t**3
Expand 2*k**3 + k**3 - k**3 + (-2 + 0 + 4)*(-2*k**3 - 3*k**3 + 3*k**3).
-2*k**3
Expand (-3 + 1 + 4)*(0*r - 3*r + 5*r) + 3*r - 3*r + r + 4*r + 2*r + 0*r - 4*r + r - 6*r.
2*r
Expand (5*r**4 - 3*r**4 + r**4)*(0 - 3 - 1) - 3*r**4 + 2*r**4 + 0*r**4.
-13*r**4
Expand (0*g**2 + 4*g**2 - g**2)*(g - 3*g + 0*g) + 0*g**2 + 0*g**2 - g**3.
-7*g**3
Expand (-3*d - 33*d - d)*(3*d**4 + 2*d**4 - 6*d**4).
37*d**5
Expand -10*p + 0*p - p + (3 - 3 + 2*p)*(2 - 3 + 4).
-5*p
Expand -8*d**3 + 8*d**3 - 2*d**2 + 3*d**5 + (-d**2 + d**2 + d**3)*(3*d**2 - 2*d + 2*d).
6*d**5 - 2*d**2
Expand (2*b + b - b)*(-b**3 - 5*b**3 + 4*b**3) + 3*b**4 - b**4 + 0*b**4 - 4*b**4 + 0*b**4 + 9*b**4.
3*b**4
Expand -4*c**2 + 2*c**2 - c**2 + 2*c**2 - 4*c + 4*c + 2*c**2 + 0*c**2 + 2*c**2 + (4*c + 0*c - 5*c)*(-3*c + c + c).
4*c**2
Expand (12*t**2 + 17*t**2 - 31*t**2 - 11*t)*(-3*t**3 + 6*t**3 - 2*t**3).
-2*t**5 - 11*t**4
Expand 110 - 110 - 5*v**5 + (-3*v**3 + 4*v**3 + v**3)*(-v**2 + v - v).
-7*v**5
Expand (n**2 + 0*n + 0*n)*(4*n**2 + 0*n**2 - n**2) + 2*n**3 + 4*n**4 - 2*n**4 - 5*n**3.
5*n**4 - 3*n**3
Expand (0 + 2 - t + 1)*(-2 + 1 - 1).
2*t - 6
Expand 2 - 2 - x**2 + (-2*x - 21 + 21)*(3*x - 2*x - 2*x).
x**2
Expand -8*x**5 + x**5 + 0*x**5 + (2*x**5 + 9*x**5 + x**5)*(3 - 1 - 3).
-19*x**5
Expand (-31 + 23 + 66)*(-4*z**5 + 5*z**5 - 3*z**5).
-116*z**5
Expand (2*z + 0*z + 3*z)*(2*z - 3 + 3).
10*z**2
Expand x**2 - x**2 - 2*x**4 + (x - x - 2*x)*(-2*x**3 + 0*x + 0*x) + 0*x**4 - x**4 + 5*x**4 - 4*x**4 + 20*x**4 + 13*x**4.
35*x**4
Expand (18*h**4 + 13*h**4 - 7*h**4)*(-2 + 3 + 0) + 2*h**4 + h**2 - h**2.
26*h**4
Expand (-j**4 + 2*j**4 + 0*j**4)*(6 - 5 + 2)*(3 - 14 - 26)*(-3 + 2 + 2).
-111*j**4
Expand (-5 + 4 - 1)*(p - 3*p + p) + (7 - 2 + 0)*(3 - 4*p + 4*p - 2*p) + 0*p + 4*p - p.
-5*p + 15
Expand 4*v**4 + 4*v**4 - 2*v**4 + (6*v - 2*v - 2*v)*(v**3 - v**3 + 2*v**3) - 3*v**4 + 4*v**4 + v**4 + (0 - v**3 + 0)*(v - v + v).
11*v**4
Expand (0*q + 3*q - 4*q)*(2*q**4 + 3*q**3 - 3*q**3) - 173*q - 2*q**5 + 173*q - 2*q**3.
-4*q**5 - 2*q**3
Expand (-2 + 2 + 2)*(-8*t + 5*t - 19*t).
-44*t
Expand (-23 + g + 23)*(4*g**3 - 4*g**3 + 2*g**3) - 2*g + 2*g - g**4 - 3*g**4 + 6*g**4 - g**4.
3*g**4
Expand (1 + 2*u**4 - 1)*(-u + 0*u - u) - 8*u**5 - 3*u**5 - 5*u**5 + (3*u**4 - 3*u**4 - u**4)*(-3*u + 2*u + 2*u).
-21*u**5
Expand (u**3 + 0*u**3 - 2*u**3)*(2*u - 4 + 4) + 2*u**3 - 2*u**3 - 2*u**4 - 2*u**4 + 4*u**4 + 0*u**4.
-2*u**4
Expand 3*b - 3*b + 2*b + (-2*b - 1 + 1)*(5 - 2 + 7)*(-3 - 8 + 0).
222*b
Expand (-6*j + 3*j + j)*(-4 + 5 + 5).
-12*j
Expand (0*v - v**2 + 0*v)*(3*v - 3*v - 2*v - v**2 + 5).
v**4 + 2*v**3 - 5*v**2
Expand 0 - v**2 + 0 + v**2 + 0*v**2 + v**2 - 22 + 2*v**2 + 22 - v + 2*v**2 + v - 3*v + 3*v - v**2 + (-2 + 2 - v)*(v + 0*v - 3*v) + v**2 - 6*v**2 + 3*v**2.
4*v**2
Expand (1 - 2*u - 1)*(5*u - 2*u - 5*u) - 1 - u**2 - 30*u + 30*u.
3*u**2 - 1
Expand 4*p**3 - 3*p**3 + 0*p**3 + (-3*p + 0*p + 4*p)*(-p + p**2 + p) + (0 - 1 - 1)*(p - p - 2*p**3) - 2*p**3 + 3*p**3 - 2*p**3 + p**2 - p**2 + 2*p**3.
7*p**3
Expand (39*f - 29*f + 27*f)*(2*f + 2 + 1 - 4 - 2*f + 0*f + f + (1 - 1 + f)*(3 + 1 - 2)).
111*f**2 - 37*f
Expand (6 + 7 + 7)*(0*b + 5*b - 3*b)*(6*b**2 - 3*b**2 - b**2).
80*b**3
Expand -h**2 + 3 - 3 + (-h + h - 2*h)*(h - 3*h + 0*h) + 5*h**2 - 23 + 23.
8*h**2
Expand (-4 + 2 + 3)*(2*g - g + g)*(0 - 2 + 1).
-2*g
Expand 0*t**5 - t**5 + 0*t**5 + (4 - 3 + 1)*(0*t**5 + 3*t**5 - 5*t**5).
-5*t**5
Expand 3*g - 12*g**2 - 3*g + (-4 - 2 + 5)*(2*g - 2*g + g**2) - 2*g**2 - 3*g**2 + 3*g**2 - g**2 + 2*g**2 + g**2.
-13*g**2
Expand 2 - o**2 - 2 + (4 - 2*o - 4)*(0*o + o + o) + o - o - 4*o**2 - o**2 + 0*o**2 + 0*o**2 + (3*o -
|
{
"pile_set_name": "DM Mathematics"
}
|
/(-8). Let o(h) = 10 + 12*h**x - 5*h**2 + 10 - 5*h**2. Give o(j(p)).
8*p**4 + 20
Let h(l) = -61*l**2 + 90*l**2 + 79*l**2 + 1 - 1. Let y(b) be the second derivative of -b**3/6 - b + 11. Determine y(h(w)).
-108*w**2
Let m(n) = -41*n. Suppose 10 = -20*f + 25*f. Let s(z) = -z**f + 5*z**2 - 3*z**2 + 0*z**2. Determine s(m(k)).
1681*k**2
Let s(a) = -6*a**2. Let b(o) be the third derivative of -49*o**6/360 + 58*o**3/3 + o**2 - 5*o. Let v(z) be the first derivative of b(z). Give s(v(m)).
-14406*m**4
Let p(m) = 229*m + 3209. Let s be p(-14). Let w(f) be the second derivative of -1/12*f**4 - 5*f + 0*f**2 + 0*f**s + 0. Let x(u) = -31*u. What is w(x(i))?
-961*i**2
Let t(v) = -22 + 22 - 14*v**2 + 119*v**2. Let k(y) = y**2 - 25. Let f(j) = -2*j**2 + 40. Let x(p) = -5*f(p) - 8*k(p). What is x(t(o))?
22050*o**4
Let o(m) = -2*m**2 - 14*m + 112688. Let q(u) = 2*u. What is o(q(p))?
-8*p**2 - 28*p + 112688
Let y(h) = -1867*h. Let r(k) = 20*k**2 - 2*k + 100. What is y(r(f))?
-37340*f**2 + 3734*f - 186700
Let y(p) = 70*p. Let c(v) = 80*v**2 + 84*v**2 - 187*v**2 + 49*v**2. Give c(y(x)).
127400*x**2
Let n be (84/18)/((-5)/(-3) - 1). Let u(g) = -n*g - 6*g + 25*g. Let j(r) = -2*r. Determine u(j(f)).
-24*f
Let i(f) be the first derivative of -5*f**2/2 - 42*f + 1248. Let u(h) = -6*h**2. What is u(i(p))?
-150*p**2 - 2520*p - 10584
Let l(m) = 2*m + 12. Let v(g) = g + 3. Let b(s) = -l(s) + 4*v(s). Let a(h) = -7*h + 10. Give b(a(w)).
-14*w + 20
Let m(q) = -4*q**2. Let v(y) be the first derivative of -569*y**2/2 + 3720. Determine v(m(a)).
2276*a**2
Let t(b) = 4*b**2 + 12*b**2 - 31*b**2 + 59*b**2. Let h(w) = 45*w**2 + 2. Calculate h(t(n)).
87120*n**4 + 2
Let s(p) = 3*p**2. Let z(f) = 175*f**2 - 16*f - 4. Let y(m) = 4199*m**2 - 380*m - 95. Let u(r) = 4*y(r) - 95*z(r). Determine u(s(t)).
1539*t**4
Let t(w) = -4*w - 2. Let x(v) = 9312834*v. Calculate x(t(p)).
-37251336*p - 18625668
Let m(o) = 3*o**2. Let q(s) = 2*s**2 - 9203 + 9203 - 2*s. Calculate m(q(u)).
12*u**4 - 24*u**3 + 12*u**2
Let r(z) = -2*z**2. Let x(n) = n**2 - 8*n - 5. Let w be x(8). Let t be (-10)/w*4*1. Let j(u) = t*u - 4*u - 9*u. Calculate r(j(m)).
-50*m**2
Let a(d) = -91*d**2 + 697*d. Let w(y) = -60*y - 2. Calculate w(a(b)).
5460*b**2 - 41820*b - 2
Let x(v) be the first derivative of 0*v - 5/3*v**3 + 0*v**2 + 56. Let j(k) = -7*k**2. What is j(x(u))?
-175*u**4
Let w(n) = -3*n + 11. Let b(g) = -741*g**2 - 65*g - 4. What is b(w(c))?
-6669*c**2 + 49101*c - 90380
Let a(n) = 3*n + 4. Let f(j) = -5*j - 7. Let w(g) = 7*a(g) + 4*f(g). Let q(k) = 2255 - 587*k + 585*k - 2280. Determine q(w(v)).
-2*v - 25
Let u(j) = -1504812*j**2. Let s(n) = 4*n. Give s(u(t)).
-6019248*t**2
Let r(u) = 12*u - 1. Let i(c) be the third derivative of -c**6/120 + 223*c**3/6 + 4*c**2 + 3. Let y(w) be the first derivative of i(w). Calculate y(r(o)).
-432*o**2 + 72*o - 3
Let s(h) = 2031885*h + 28. Let f(x) = x. Give f(s(y)).
2031885*y + 28
Let t(g) = 9381*g. Let m(a) = 7*a**2 + 77*a. What is t(m(b))?
65667*b**2 + 722337*b
Let w(b) = 2*b. Let o(v) = 9788 - 9788 + 2065*v. Give o(w(x)).
4130*x
Let v(f) be the third derivative of -5*f**4/4 + 34*f**2. Let w(r) be the third derivative of -r**4/8 - 1049*r**2. Calculate w(v(n)).
90*n
Let f(y) = -2*y**2. Let z be 0*(-9)/90*5. Let n(h) be the second derivative of 0 + z*h**3 + 8*h + 0*h**2 - 2/3*h**4. What is n(f(b))?
-32*b**4
Let s = 498 - 496. Let j(q) = q**s + q**2 + 0*q**2 - 2 + 2. Let x(o) = -3*o + 3*o + 23*o**2. Give x(j(l)).
92*l**4
Let q(h) = -70*h. Let x(k) = 2*k + 2. Let c(i) = 11*i - 9. Let n(t) = -c(t) + 4*x(t). Let p(d) = -d + 6. Let m(g) = -6*n(g) + 17*p(g). Give m(q(o)).
-70*o
Let r(z) = -28*z**2 + 53*z. Let h(m) = 15*m**2 - 30*m. Let s(f) = 9*h(f) + 5*r(f). Let l(y) = 204*y. Give l(s(u)).
-1020*u**2 - 1020*u
Let g(s) = 2*s + 1. Let x(r) = -r**2 + 3316*r - 8. Determine x(g(n)).
-4*n**2 + 6628*n + 3307
Let j(q) = q - 155. Let r(z) = -1572417*z**2. Determine j(r(a)).
-1572417*a**2 - 155
Let o(c) = 86*c - 335915. Let g(m) = -m. Give g(o(i)).
-86*i + 335915
Let o(p) = 10*p. Suppose 10*c - 10 = 8*c. Let d be ((-30)/25)/((-3)/c). Let q(s) = 7*s**2 - 3*s**2 - 4*s**2 + s**d. Give o(q(r)).
10*r**2
Let n(h) = 937035*h**2 - 2. Let u(d) = 10*d. Determine n(u(k)).
93703500*k**2 - 2
Let n(q) be the first derivative of -3*q**2/2 + 697. Let h be (4 + -2 + -1)*4. Let v(r) = -h*r**2 - 4 + 6 - 2. What is v(n(t))?
-36*t**2
Let c(x) = -42 + 21*x**2 - 43 + 132 - 43. Let p(q) = 3*q. Give p(c(z)).
63*z**2 + 12
Let q(v) = -10*v - 1. Let w(j) = j - 2. Let c(t) = 4*q(t) - 2*w(t). Let d(l) = 24*l. Calculate d(c(g)).
-1008*g
Let u(b) = -3142*b. Let a(f) be the third derivative of -f**5/60 + 2504*f**2. Determine u(a(z)).
3142*z**2
Let c(y) = -2*y**2. Let g(z) = -323*z + 86*z - 200*z. What is c(g(n))?
-381938*n**2
Let i(w) be the first derivative of 40*w**2 - 5*w - 310. Let o(z) = -2*z. Give o(i(q)).
-160*q + 10
Let i(q) = 29*q - 30. Let g(x) = -49*x + 50. Let o(w) = 3*g(w) + 5*i(w). Let p(a) = -a + 184. Let u(s) = -92. Let f(z) = 3*p(z) + 7*u(z). What is o(f(c))?
6*c + 184
Let c(k) = -2*k**2 - 3. Let a(g) = -15*g**2 - 20. Let w(x) = -3*a(x) + 20*c(x). Let r(u) be the first derivative of -4*u**3 + 3960. What is w(r(f))?
720*f**4
Let u(z) = -20*z**2. Let h(f) be the second derivative of 0 - f + 1/24*f**4 + 7/2*f**2 + 0*f**3. Let a(v) be the first derivative of h(v). Determine a(u(r)).
-20*r**2
Let n(x) = -6*x + 0*x - 3*x. Let y(c) = -23*c + 1. Let m(u) = -75*u + 3. Let r(t) = m(t) - 3*y(t). Give n(r(v)).
54*v
Let r(z) = -285*z**2 + 22. Let v(a) = 1222*a**2. What is r(v(y))?
-425585940*y**4 + 22
Let k(d) = -239*d. Let q(p) = 6*p**2 + 3*p - 177. Give k(q(o)).
-1434*o**2 - 717*o + 42303
Let a(y) = 79*y - 60*y + 33*y + 58*y + 38*y. Let u(c) = 7*c**2. Determine u(a(o)).
153328*o**2
Let o(n) = -4*n**2. Let l(j) be the first derivative of -35*j**3/3 + 126*j - 18. Let b(a) be the first derivative of l(a). Calculate o(b(i)).
-19600*i**2
Let q(w) = 5*w**2 - 112*w. Let k(g) = 3648*g. Calculate k(q(i)).
18240*i**2 - 408576*i
Let u(q) = 7694724*q**2. Let o(f) = 37*f. What is o(u(n))?
284704788*n**2
Let h(s) = -229*s**2 + 2184*s - 2184*s. Let d(n) = 8*n**2 - 10*n**2 + n**2 - n**2. Give h(d(q)).
-916*q**4
Let m(b) = -59*b + 120*b - 60*b. Let r(p) = -2 - 2386*p + 2311*p - 2 + 5. Determine r(m(y)).
-75*y + 1
Let m(d) = 253905029*d. Let a(g) = -2*g**2. Calculate m(a(t)).
-507810058*t**2
Let l(c) = -33*c - 2. Let u(o) = -o**2 + o - 1. Suppose 4 = v, 5*n - 3*v - 13 = -30. Let b(g) = 8*g**2 - 10*g + 10. Let k(a) = n*b(a) - 10*u(a). Give k(l(p)).
2178*p**2 + 264*p + 8
Let i(l) be the second derivative of -5*l**4/2 - 22*l. Let n(d) = -20*d - 64. Let v(k) = 2*k + 6. Let u(r) = 3*n(r) + 32*v(r). Calculate i(u(z)).
-480*z**2
Let h(w) = w**2 - 13980*w + 2. Let r(l) = 84*l. Calculate r(h(x)).
84*x**2 - 1174320*x + 168
Let i(y) = -5*y - 14. Let u(f) = f - 3. Let x(d) = -i(d) - 2*u(d). Let t(m) = -3*m - 15. Let z(s) = -4*t(s) - 3*x(s). Let b(j) = 16*j**2. Calculate b(z(r)).
144*r**2
Let f(t) be the third derivative of t**5/60 + t**2. Let n(k) = -1908946*k - 2 + 954467*k + 954465*k. What is n(f(w))?
-14*w**2 - 2
Let r(y) = 4*y**2 - 3. Let k(b) be the third derivative of -b**5/20 - b**4/6 + 2145*b**2. Determine k(r(p)).
-48*p**4 + 56*p**2 - 15
Let c(x) be the second derivative of -77*x**3/2 + x - 1979. Let t(f) = 2*f**2 + 12*f. Determine c(t(k)).
-462*k**2 - 2772*k
Let d(h) = 9*h + 15*h + 20*h - 42*h. Let r(v) = -8567*v**2. What is d(r(y))?
-17134*y**2
Let w(h) = -5*h**2 + 20. Let c(y) = -1705713*y**2. Give w(c(a)).
-14547284191845*a**4 + 20
Let u(r) = 370*r**2 + 3. Let l(w) = 946*w. What is l(u(y))?
350020*y**2 + 2838
Let q be 3/(-2)*(-1)/(6/100). Let k(o) = -17*o**2 + q*o**2 - 15*o**2. Let t(v) be the third derivative of -5*v**4/24 + 6*v**2. Give k(t(x)).
-175*x**2
Let i(u) = -21*u - 308. Let q(v) = -v - 77. Let j(m) = -i(m) + 4*q(m). Let d(z) = 21*z**2 - 3. Determine d(j(y)).
6069*y**2 - 3
Let k(m) = m + 4*m + 33 - 4*m. Let f(u) = 269351*u**2 - 134677*u**2 - 134673*u**2. Give f(k(q)).
q**2 + 66*q + 1089
Let c(d) = 14*d**2. Suppose 0 = -41*l - 3 + 12 - 9. Let k(j) be the third derivative of 0 + 5*j**2 + 1/24*j**4 + l*j + 0*j**3. Calculate k(c(i)).
14*i**2
Let m(i) be the third derivative of -i**5/10 - i**4/8 + 2*i**3/3 - 26*i**2 + i. Let t(j) = -j**2 -
|
{
"pile_set_name": "DM Mathematics"
}
|
f r?
0
Let c = -739 - -738. What is the hundreds digit of (9/c)/(-9) + 5*223?
1
Let y(b) = 133*b + 68. Let s(x) = 666*x + 342. Let q(f) = 2*s(f) - 11*y(f). What is the units digit of q(-6)?
2
Let i = -3361 + 8732. What is the thousands digit of i?
5
Let v(n) be the third derivative of n**4/8 + 2*n**3 - 44*n**2. Let j be v(-2). What is the tens digit of (-508)/(-3)*j/(-24)*-6?
5
Let o be (-8)/(-10) + 504/(-105) + -516. Let i = o + 1354. What is the units digit of i?
4
Suppose 0 = 4*b + 2*n - 151076, 22850 = 2*b + 2*n - 52682. What is the hundreds digit of b?
7
Suppose -2*g = -71 + 217. Let v be (222/8)/(3/(-12)). Let l = g - v. What is the units digit of l?
8
Suppose -524*h + 521*h = -c - 201341, 0 = 5*h - 5*c - 335555. What is the hundreds digit of h?
1
Suppose 18243 + 69911 = 22*i. What is the units digit of i?
7
Let p(w) = 226*w**3 + 2*w**2 + 39*w - 133. What is the tens digit of p(6)?
8
Let l = -7232 + 19784. What is the tens digit of l?
5
Let l be 37/13 - 14/(-91). Let z = 5 - l. What is the tens digit of (-564)/(-8) - z/4?
7
Suppose 3*y - 3*h = 87936, 9*y + 117218 = 13*y + h. What is the tens digit of y?
0
Let k = 2251 + -675. Suppose 4*s + 3*m - k = 8*m, -m = -4*s + 1576. What is the tens digit of s?
9
Suppose -5*k = 0, k - 8 = 2*j - 4*j. Suppose t + 814 + 456 = 5*b, 5*b - 1255 = j*t. What is the units digit of b?
5
Let t(y) = -2*y**2 + 5*y - 52. Let g be t(11). Let j = g - -383. What is the units digit of j?
4
Suppose 0 = 2*v - v + 3, -v = 2*k - 3. Let r(z) = -20*z + 3*z - z**2 - z**2 + z**k + 11 + 13*z**2. What is the units digit of r(-12)?
1
Let r = 1 + 1. Suppose -3*l + 151 = -r*l + 2*g, 0 = -g + 3. Let w = -16 + l. What is the units digit of w?
9
Let c = 91 + -95. Let b be 1 + -4*(c + -29). Suppose -4*w = b - 873. What is the units digit of w?
5
Let d(r) = r**2 - 18*r + 77. Suppose 2*q - 47 = v, -6*q - v + 103 = -2*q. What is the hundreds digit of d(q)?
2
Suppose -5*u - 4*q + 9788 = 0, 3*u + 3*q = -2005 + 7879. Suppose -3*k + 6*k - 5*s = 5878, -k = -s - u. What is the units digit of k?
1
Suppose -5*z + 7*z + 70 = 0. Let x = z + 37. Suppose -3*u - r = -292, 3*u - 7*r - 286 = -x*r. What is the units digit of u?
7
Let c(x) = -31*x + 6. Let v = -6 - -12. Suppose 0 = -5*f + 3*f - v. What is the units digit of c(f)?
9
Suppose 3*r + 10 = -2*u, -3 = -r + 2*u - 1. Let b = -4 - r. What is the tens digit of -19*(6/3)/b?
1
Suppose 67*z = 75*z - 24. Suppose 1338 = z*t - 4*d - 565, -2*d - 2554 = -4*t. What is the hundreds digit of t?
6
Let l(n) be the first derivative of 6*n - 13 - 5/2*n**2 + 5/3*n**3. What is the units digit of l(2)?
6
Suppose -20 = -6*i + 5*i. Suppose 2*v = 6*v - i. What is the units digit of (-12)/v*-10*(-1)/(-4)?
6
Suppose -155 = -0*m - 5*m - 3*p, -5*p - 3 = -m. Suppose j = -74 + m. Let d = j - -114. What is the tens digit of d?
6
Suppose -20*c + 8*c + 36 = 0. Suppose v - 1077 = -5*u + 727, 0 = u - c*v - 348. What is the tens digit of u?
6
Suppose 5*q = 5*l - 10*l + 25, 0 = -3*q + 4*l + 43. Let i be -128*((-3)/q)/(1/3). Let h = i + -17. What is the tens digit of h?
1
What is the units digit of 2/(32/(-128)*(-24)/20607)?
9
Let u be (-1*(-210)/25)/((-2)/(-10)). Let v = -39 + u. Suppose -9*q + 1584 = v*q. What is the hundreds digit of q?
1
Let i = 507 - 203. Let w(a) = a**2 + 51*a - 49. Let u be w(-50). Let c = i + u. What is the tens digit of c?
0
Let h(l) = -12*l + 136. Let j be h(-34). Let v = -417 + j. What is the tens digit of v?
2
Suppose 325 = -6*j + 331. Suppose 8194 = 5*a - 2*f, -j = -2*f - 5. What is the units digit of a?
8
Let o be 595 - 4*(-40)/(-32). Suppose o = 5*a + 5*i, 14*i - 12*i + 115 = a. What is the tens digit of a?
1
Let d = 1750 - -227. What is the thousands digit of d?
1
Let y(s) = 15136*s**3 - 11*s**2 + 4*s + 8. What is the thousands digit of y(1)?
5
Let q = 16872 - 7556. What is the units digit of q?
6
Let j(u) = u**2 + 4*u + 12. Let a be j(-3). Let h(y) = -2*y**2 + 18*y. Let o be h(a). Suppose o = -p + 33 - 2. What is the tens digit of p?
3
Suppose d = -73*s + 71*s + 1921, 4*d - 3*s = 7717. What is the hundreds digit of d?
9
Let y(w) = -w - 12. Let j be y(0). Let f = 4 + j. What is the units digit of 3/(-4) + (-358)/f?
4
What is the tens digit of -6 + (-54)/(-10) + -103542*(-12)/90?
0
Suppose 15*a = 18*a - 75. Suppose -5*b + a + 1550 = 0. What is the hundreds digit of b?
3
Let v = 86 + -82. Suppose 0 = -v*d + 1 - 17. What is the units digit of -2*34/d - -4?
1
Let x(c) be the third derivative of 57*c**5/20 - c**4/24 - c**3/6 + 2*c**2 - 8. What is the hundreds digit of x(1)?
1
What is the tens digit of ((-110)/25)/(-6 - 3232/(-540))?
9
Let p = -290 - -644. Let b be ((-249)/4)/(11/(-4) + 3). Let a = p + b. What is the tens digit of a?
0
Suppose -4*t + 4*a = -24, 0 = -2*t - 3*a + 40 - 38. Suppose -4*c + 1132 = -t*g, 0 = -3*c - 3*g + 238 + 611. What is the hundreds digit of c?
2
Let a(p) = -p**2 - 9*p. Let o be a(-5). Let j be (236/o)/(3/15). Suppose -22*m = -23*m + j. What is the units digit of m?
9
Suppose -2*d + 853 = -4*r - 225, 4*d = 5*r + 1352. Let s = r - -183. Let l = -46 - s. What is the units digit of l?
9
Let a = 147 + -81. Let d = a + -63. Suppose -7*q = -d*q - 412. What is the tens digit of q?
0
Let w(l) = -l + 4*l + 2*l + 6. Let x be w(-7). Let j = 48 + x. What is the units digit of j?
9
What is the hundreds digit of (-1)/((-354670)/59110 + 6)?
9
Let r = 6501 + -4038. What is the tens digit of r?
6
Let u(r) = 144*r**2 - 229*r - 44. What is the tens digit of u(12)?
4
Let v be 168/560 - (-8286)/(-20). Suppose -5*z + 2*z = 753. Let j = z - v. What is the hundreds digit of j?
1
Let s be ((-444)/42 - -10)/((-2)/14). What is the hundreds digit of 2/s*794 + -8?
3
Let k(p) = -35*p - 4. Suppose 0 = j - 9*w + 11*w, -w = -2*j - 10. What is the units digit of k(j)?
6
Suppose 44 = -112*x + 111*x. Let c = 476 - x. What is the units digit of c?
0
Let u = 6283 - -14026. What is the thousands digit of u?
0
Suppose 7*o - 15 = -120. Let x(z) = -26*z + 159. What is the tens digit of x(o)?
4
Let x(o) = -5*o**2 + 6*o - 20. Let a be x(7). Let d = -219 - a. What is the units digit of d?
4
Let g(w) = 18*w + 8. Let t(m) = m - 1. Let z(k) = -g(k) + 4*t(k). Let q be z(-10). Let j = q - 62. What is the units digit of j?
6
Suppose b - 12031 = -4*y, -4*b = 2*y - 0*y - 48124. What is the units digit of b?
1
Let m(q) = -2*q - 38. Let k be m(-13). Let c(w) be the first derivative of -3*w**2 - 31*w - 1. What is the units digit of c(k)?
1
Let j(f) = -f**2 - 4*f + 18*f + 2*f + 0*f + 28. Let c be j(12). Let r = c + -33. What is the units digit of r?
3
Let o = 74 - 67. Let f(b) = 11*b + 83. What is the units digit of f(o)?
0
Let y be (-6)/(-9)*6/4. Suppose -2*d = 6*f - 78, 171 = -2*f + 177. What is the tens digit of (3 + d)*(y - -1)?
6
Let g = 34230 - 13511. What is the thousands digit of g?
0
Let r(a) = 2163*a**2 - 2405*a - 9617. What is the tens digit of r(-4)?
1
Suppose 5*v = 5*w - 14140, -1463 = -w - v + 1369. What is the units digit of w?
0
Let c(a) = a - 25. Let m be c(21). What is the hundreds digit of 2/m + ((-878)/(-4) - -2)?
2
Let v be (-3)/(36/7468) + 1/3. Let n = 1087 + v. What is the tens digit of n?
6
Let a(m) = 16*m**3 + m**2 + 4*m - 3. Let z = 19 - 17. What is the units digit of a(z)?
7
Suppose -10*u + 110803 = 13723. What is the thousands digit of u?
9
Suppose 3*y - y = -2*b + 12, -2*y - 5*b = -15. Suppose -3*k = j - 679, -y*j + 86 - 1231 = -5*k. What is the tens digit of k?
2
Let w be -8 + (-27)/(-9) - -4567. Let p = w + -2757. What is the thousands digit of p?
1
Let b be (2 - (-12)/(-3))*-4. Suppose -g = b*g - 36. Let z(u) = -u**2 + 7*u - 5. What is the units digit of z(g)?
7
Suppose 5*v + 4*o - 56 = 0, -v = -5*v - 3*o + 44. Suppose 0 = v*z + 15 - 303. What is the hundreds digit of 316 + (z/8 + -4)*-6?
3
Suppose 309 = -3*c - r + 1169, 0 = 2*c - r - 565. Suppose 2*p - 1010 = -2*i, -c = -p + 4*i + 215. Suppose -4*u + p = 3*u. What is the tens digit of u?
7
Let z = 130867 - 77309. What is the tens digit of z?
5
Let x(c) = 10*c**3 - 4. Let z(u) = -21*u**3 + u**2 - u + 9. Let j(o) = -5*x(o) - 2*z(o). Let t be 15/(-6) - (0 + 5/(-10)). What is the tens digit of j(t)?
5
Suppose -4*r - 152 = 2*p, r + 4*p - 176 = 5*r. What is the units digit of (-3)/(-15) + (-4792)/r?
0
Suppose -5*s + 776 = 3*s. Let f = 342 - s. What
|
{
"pile_set_name": "DM Mathematics"
}
|
*l - v, 4*l - 290 - p = 2*v. What is the tens digit of l?
7
Suppose -5*z + 8 = -3*z. Let j(a) = 35*a + 15. What is the hundreds digit of j(z)?
1
Let d = -195 + 352. Let s = -81 + d. What is the units digit of s?
6
What is the hundreds digit of (100 + -97)*682/6?
3
Suppose 3*q + 3*p = 4224, -5*p - 1408 = -q - 9*p. What is the tens digit of q?
0
Let i(u) = 3*u - 70. Let w(m) = 3*m - 71. Let r(h) = 5*i(h) - 6*w(h). What is the tens digit of r(22)?
1
Let h be -1*(2 + -3) + 8. Let a = h + -16. What is the units digit of 9 + a/((-14)/(-6))?
6
Suppose 2*a = c - 9, 5*c - c - 5*a - 21 = 0. What is the hundreds digit of (-2)/c*(-1)/(-4)*276?
1
Let m = -3 + -3. Let q(k) = -k**3 - 5*k**2 + 5*k - 8. Let z be q(m). What is the units digit of ((-15)/6 - z)*-12?
6
Suppose 3*f - 8*f = -20. Let l be (-1)/(-3)*3 + f. Suppose -13 = -l*o + 32. What is the units digit of o?
9
Let i(f) = 3*f**2 + 17*f - 21. What is the tens digit of i(-15)?
9
Suppose f - 3*i = 49, 2*i + 12 = -2*i. Suppose 3*c + f = 193. Let q = 89 - c. What is the units digit of q?
8
Let i = 50 + -33. Suppose 4*g - 3*g + i = 0. What is the tens digit of (g - 1)*(5 + -6)?
1
What is the units digit of 4 + (-168)/35 - 988/(-10)?
8
Let n(l) = 31*l**3 + 3*l**2 - 4*l + 4. Let h be 4*5/8*(-8)/(-10). What is the tens digit of n(h)?
5
Let p = -258 - -568. What is the tens digit of p?
1
What is the hundreds digit of (-18)/(-135) + (-9568)/(-15)?
6
Let x(v) = -2*v + 5. Let g be x(-11). Suppose 5*a + 2*o - g = 0, -4*a - o - 3*o + 12 = 0. What is the units digit of a?
7
Let x(n) = n**2 + 19*n - 54. What is the hundreds digit of x(-29)?
2
Let t = -1246 - -1763. What is the units digit of t?
7
Let w be (-4 - -9)*12/(-15). Let g(v) = -v**2 - 4*v + 4. Let u be g(w). Suppose -17 = -n - u. What is the units digit of n?
3
Suppose 0 = 3*k - p - 825, -p - 551 = 2*k - 4*k. What is the units digit of k?
4
Let k be 1 + (15*16)/3. Let z = k - 36. What is the units digit of z?
5
Let j = -20 - -3. Let q(w) = w**2 + 17*w + 34. What is the units digit of q(j)?
4
Suppose -4*b - 30 = -222. Suppose 16 = -m - b. What is the tens digit of m/(-80) + (-81)/(-5)?
1
Let a = -20 + -38. Let g = a + -8. Let d = -25 - g. What is the units digit of d?
1
Let g = -4 - -7. Let a(t) = -t**2 + 2*t - 3. Let d be a(g). Let x = 19 + d. What is the units digit of x?
3
Let x(c) be the second derivative of -c**5/10 + 4*c**4/3 - 5*c**3/6 - 5*c**2 + 9*c. What is the hundreds digit of x(6)?
1
Let s = -28 - -29. Let m(o) = 63*o**3 - 2*o**2 + o. What is the tens digit of m(s)?
6
Suppose 7 = -m + 154. Suppose -4*w = -2*a - 4 + 58, 0 = -5*a + 4*w + m. Let u = a + 7. What is the units digit of u?
8
Suppose 2*w - 4*w = 4*y + 378, -5*w = 5*y + 465. Let o = -21 - y. What is the tens digit of o?
7
Let v = 217 - -794. Let t = -697 + v. What is the units digit of t?
4
Let p be 9/(-2) + 8/(-16). Let y be (54/p)/((-6)/30). What is the units digit of y/10*40/8?
7
Let s(m) = m**3 + 6*m**2 - 18*m - 7. Suppose -4*c + t - 31 = -0*t, 2*c = 3*t - 23. What is the units digit of s(c)?
0
Let h(t) be the second derivative of -t**5/20 + t**4/3 + 5*t**3/6 + 4*t. Suppose 2*a - 1 = 7. What is the tens digit of h(a)?
2
Suppose 5*d - 7 = 4*q, 10*d = 2*q + 8*d + 2. What is the tens digit of q/(9*(-2)/(-12))*183?
4
Let r(o) = 10*o**2 - 2*o - 1. Let d be r(-1). Let p(c) = -6*c + 4 - 14 + d. What is the units digit of p(-4)?
5
Suppose -10*c + 222 = -8*c. Suppose 5*q - c = 299. What is the units digit of q?
2
Let n be 14/(5 - 3) - 2. What is the tens digit of 10/n*138/4?
6
Suppose -5*p + 20 = 2*t, -3*p + t = 6*t - 31. Let h be 16/(-20)*(-85)/p. Let f = h - -1. What is the units digit of f?
5
Let u = 227 + 449. What is the tens digit of u?
7
What is the tens digit of 5/16*566 - (-133)/1064?
7
Suppose -3*b = -4*q - 629, -16 - 633 = -3*b - q. Suppose o - 111 = b. What is the tens digit of o/6 + 1/(-3)?
5
Suppose 3*q + 2*i - 208 = 0, 2*q + 20*i = 17*i + 147. What is the units digit of q?
6
What is the units digit of 16056/(-4 + 13) + -2 + -3?
9
Let u = -3 + -4. Let q(g) = g**2 - 7*g + 14. What is the units digit of q(u)?
2
Suppose 2*o - 2*i - 16 = 0, -i - 34 = -4*o + 4*i. Suppose -22 = -h + o. Suppose -h = l - 2*l. What is the units digit of l?
8
Suppose -1470 - 1221 = -9*q. Suppose -265 = -2*s + q. What is the units digit of s?
2
Let x(d) = 155*d - 145. Let u(o) = -22*o + 21. Let q(m) = 15*u(m) + 2*x(m). What is the hundreds digit of q(-8)?
1
Let g be (-125)/(-10)*(-12)/15. What is the units digit of 223/5 - 4/g?
5
Let u be (-7 - 29)/(2/(-4)) - 0. Suppose 0 = -79*q + u*q + 63. What is the units digit of q?
9
Let x = 1088 - 648. What is the hundreds digit of x?
4
Suppose 0 = -c + 4*z + 38, -5*c - z = -0*z - 148. Suppose 5*x = c + 405. What is the tens digit of x?
8
Let t be 438/(-2)*(-3)/9. What is the tens digit of t + -5 - (-1)/(-1)?
6
Let g(z) = -4*z - 22. Let i be g(-15). Let o be (2/2)/(2/i). Suppose 3*x - o = 5*f - 305, 2*f - 3*x - 118 = 0. What is the tens digit of f?
5
Let o(d) = -d**3 - 14*d**2 - 9*d + 16. Let y be o(-13). Let w = y + 44. What is the units digit of w?
8
Suppose 3*u = -0 + 9. Suppose 0 = -u*v + 2*i + 515, -5*v + 4*v = 4*i - 167. What is the tens digit of v?
7
Let b(m) = 830*m**2 + 15*m - 1. What is the hundreds digit of b(-2)?
2
Let f(u) = u**3 + 3*u**2 - 4*u + 5. Let c be f(-5). Let i(y) = y**2 + 3*y + 1. Let j be i(0). Let s = j - c. What is the units digit of s?
6
Suppose 3*u + 3*w = 66, 4*u + 0*w - 118 = 2*w. Suppose -4*d + 1 - 21 = 0. Let i = u + d. What is the tens digit of i?
2
Suppose -2*c = 2*d - 24, -1 = 4*d - c - 29. Let p be 4/2*d/16. What is the units digit of (-132)/(-15) - p/(-5)?
9
Suppose 0*h = -3*h + 420. Suppose y - h = -3*y. What is the tens digit of y?
3
Let x = 3048 - 1581. What is the tens digit of x?
6
Suppose 5*w + 10 = 0, 28*w - 4184 = -2*l + 31*w. What is the tens digit of l?
8
Suppose -13*v = -12*v - 13. Let q(l) = 2*l**2 - 8*l + 13. What is the hundreds digit of q(v)?
2
Let t = 404 - -173. What is the tens digit of t?
7
Let q(b) = 68*b - 17. Let i be q(3). Suppose 0 = -3*u + 4*x + 2 + i, u = -5*x + 44. What is the units digit of u?
9
Suppose 3*o - 1448 = -4*b + 4*o, -o = 4*b - 1448. What is the hundreds digit of b?
3
Let o = 50 + -58. What is the tens digit of o/(-28) - (-1363)/7?
9
Suppose -23*a - 584 = -32623. What is the units digit of a?
3
Suppose 4 - 32 = 2*s - 4*u, 2*u = -s - 10. Let o = 10 + s. Let y(f) = -6*f**3 - 4*f**2 - 2*f. What is the tens digit of y(o)?
3
Let k = 1179 - 805. What is the units digit of k?
4
Suppose 2*x - c - 7 = 0, 3 = 3*c - 6*c. What is the units digit of (-16)/x*(-12)/8?
8
Suppose 0 = -i - 2*i + 36. Let r be 26/8 + 9/i. Suppose 0 = r*z - 0*z - 168. What is the units digit of z?
2
Let b = 9522 - 5906. What is the tens digit of b?
1
Let k(s) = -s**2 - 3*s + 2. Let n be k(-4). What is the units digit of n + -1 - 32/(-8)?
1
Suppose 8880 = 62*l - 22*l. What is the hundreds digit of l?
2
Suppose -4*a + 4556 = -3*l, 3*a - 5*l - 3521 = -115. What is the units digit of a?
2
Let t(g) = g**2 - 4*g - 1. Let p be t(5). Suppose 6*d - p*d = 220. What is the hundreds digit of d?
1
Let y be 25/(-10)*2*-1. Suppose 0 = 5*w - j - 59, -y*w - 5*j + 90 - 25 = 0. Suppose -3*u = -3*x - 60 + w, -2*x = -3*u + 46. What is the units digit of u?
4
What is the tens digit of 67 - -1 - (9 + -11)?
7
Let c(r) = -16*r - 20. Let q be c(-9). Suppose -3*g + 62 = -q. What is the tens digit of g?
6
Let i(w) = 4*w**2 + 36*w - 43. What is the tens digit of i(-21)?
6
Let g = -11 + 15. Suppose 0 = 2*f - g*f. Suppose f = r + 4*r - 10. What is the units digit of r?
2
Suppose -4 = -5*t - 2*u, 5*u - 1 - 9 = 5*t. Let r = -16 + 21. Suppose -r*q = -y - 204, t = -5*q + q - 3*y + 167. What is the units digit of q?
1
Let d = 36 - 81. Let j be -3*((-88)/(-12) - 0). Let m = j - d. What is the tens digit of m?
2
Suppose -4*k + 6*k = 30. Let m = -1 + k. What is the tens digit of m?
1
Let s(h) = h**2 + h + 2. Let i be s(-1). Suppose -b - 7 = -p, -i = 3*b - 11. Suppose 5*v + 5 - p = 0. What is the units digit of v?
1
Suppose 0 = -4*l - 4*o + 71 - 7, 3*l - 3*o = 42. Suppose 7*a = 11*a - 8. Suppose -65 = -a*f + l. What is the units digit of f?
0
Suppose -115 = -4*b + 53. Suppose -b = -4*m - 10. What is the units digit of m?
8
What is the tens digit of 131709/45 - (19
|
{
"pile_set_name": "DM Mathematics"
}
|
Calculate (-3250)/117 + 15 + 14/(-63).
-13
(-24)/(-410)*(-16625)/(-9975)
4/41
What is (-2 + (-83)/(-42))*(14/((-84)/(-114)) - 22)?
1/14
Calculate (-233)/((-9087)/2652) - 74.
-6
What is 149600/98736*(-3)/10?
-5/11
(10 + 876/(-120) + 27/90)*-38 + -2
-116
What is the value of 30 - (330/(-45))/22*(-25 + -14)?
17
What is 1768/17 - (-79 + 70)?
113
Evaluate 24*(-37)/2664 + 7/3.
2
What is the value of (-204)/8*((-1012)/(-132) + 4 + -11)?
-17
Evaluate (-404)/(-204) + 16*111/5032.
7/3
What is 254592/2880 + 404/(-4)?
-63/5
Evaluate (-6)/5*(-1120)/6048 + (-357)/(-216).
15/8
What is 24/20*(-203 - -193) - (-59)/1?
47
What is the value of 2/(-10)*(106 - 18513/198)?
-5/2
(78/52*(-4)/18)/((-3)/23247*-21)
-123
Calculate 16 + -1 + (-38)/(30590/11937).
6/35
Calculate 45 - 51/(510/760).
-31
What is (-73)/((-4380)/72) + (2 - (-320)/25)?
16
What is the value of 104/1352*(2/6)/((-5)/(-15))?
1/13
-6*3 - ((66 - 38) + -78)
32
Calculate 235/(-987) + 1732/42.
41
What is (148/1480)/((-9)/10)*1?
-1/9
((-4329)/29016*31)/((-2)/16)
37
Calculate (5/11)/(722820/(-113586)).
-1/14
(9/(-8))/((-24245)/981736 + (-4)/(-94))
-63
What is the value of 147/63*110/154*(-24)/(-5)?
8
What is ((-415914)/(-2884) + -144)/(-3*(-3)/(-4))?
-2/21
What is the value of (3/6*-6)/(72/252 + 185/(-1015))?
-29
What is ((-18)/287)/(55680/(-609) + 91)?
6/41
(-1175)/(-1750) - 117/195
1/14
Evaluate (564/329)/((-4)/(-98)) + 7 + -23.
26
What is (11991/(-35973))/((-1)/237)?
79
Calculate (-1173060)/2850 + 383 + ((-36)/40 - (-2)/4).
-29
Evaluate (-5)/25*(-3206 - -3201).
1
(-8774)/(-4066) - (9 - 2367/171 - -5)
2
Evaluate (6*(-9)/1053)/(-9 + (-624)/(-72)).
2/13
Evaluate 9*60/288 + 16/((-608)/57).
3/8
What is ((-3)/9)/(11/9) + 3698094/(-27654)?
-134
Calculate (-5 + (10 - 3))/(-24) + 1/(-4).
-1/3
What is 171865/(-5574) + (-50)/12?
-35
4 + 2*1*9792/(-4284)
-4/7
Calculate (-108143)/(-32242)*-14 + 47.
2/47
What is the value of (-5)/4 + (-1*11/(-660))/(45/21195)?
33/5
(32336/5418 - 21) + (-4)/(-126) + 94
79
Calculate ((-13)/(273/(-1)))/((-330)/(-880) + (-2)/6).
8/7
Evaluate 126/(-567) - (1055/(-45) + (-12)/54*-1).
23
Evaluate 261/(-696) + 506/368.
1
What is the value of (4/(-44))/((-3220)/91080)?
18/7
Calculate 23/(1495/10) - ((-480)/(-728))/(-5).
2/7
What is the value of (-6)/4*(-940)/(-30) + 1909 + -1908?
-46
Calculate ((-39)/((-3900)/40))/((-5)/(-650)).
52
What is ((-110)/(-16))/((-3869)/(-30952))?
55
What is the value of (-15990)/4264 + (-5495)/(-1460)?
1/73
Calculate 15/3*186/1085 + 166/(-161).
-4/23
Calculate (-5344)/(-11523) + (2/(-3))/(-15 + (32 - 15)).
3/23
What is the value of ((-24)/9)/((-1)/(-7) - (7 - 562/84))?
16
What is the value of 17 + 64070/129*42/(-1225)?
-1/35
((-4 - 483/(-105))/((-9)/6))/(4/530)
-53
What is (-4)/(-52)*13091/(-19)?
-53
Calculate (-85)/112 + (145 - (-530593)/(-3664)).
-4/7
Calculate (42/4 + 3/(9/(-3)))/((-447)/894).
-19
What is the value of (-12)/(-76) - 622139/3485113?
-2/97
What is the value of 1/12 - (-506)/(-2760)?
-1/10
1 + -6 - (-1478 + 1429)
44
Calculate 3172/(-1708) + (-1716)/(-42).
39
(-15)/8 - (-61 - 21479/(-376))
2
Calculate (-33 - 67 - -101)*2/(-93).
-2/93
What is ((-163735)/3664 - -52)*(-32)/(-6)?
39
What is (213 - 219)*(-88)/(-12)?
-44
What is (1054/17 - (-83968)/(-1353))*(-1 + (-2)/(-5))?
2/55
Calculate (-682)/(-28830)*-2155 + 51.
2/93
What is (11504 - 11490) + 2574/(-184)?
1/92
What is the value of 2026/(-6612) + (-95)/(-30) + -3 + 112/1064?
-1/29
Evaluate (((-65)/(-78))/(-5))/(35/(-30)) - (-6320)/(-336).
-56/3
Evaluate 9/(-33) + ((-12)/(-132))/1.
-2/11
What is -3*(3/10)/((-10)/(-4) - 1)?
-3/5
((-7)/3)/(5586/(-684))*182/4134
2/159
Calculate -14*(-1*(-1218)/28 - 37).
-91
What is the value of 812/(-4879) - -14*5/1435?
-2/17
Calculate (-34)/(5984/(-2160)) + (2 - 25/11).
12
40*((-16)/180 + (3608/198 - 18))
16/3
Calculate 482/(-162) + -4119 + 4122.
2/81
Calculate 69/(-92)*(-189)/10773.
1/76
Calculate (-16)/372*(-183)/(-2) - (-10330)/(-160115).
-4
(-51)/2*38/(-57) - (-22005)/(-978)
-11/2
((-86884)/2730)/(-29) - (0 + 7/(-140)*-24)
-4/39
What is (142/12)/(((-3795)/(-198))/(-115))?
-71
What is the value of ((-16)/208)/((-2)/(-30)*-5)?
3/13
Evaluate ((-67)/15678)/(7/29456) - (-72)/4.
2/117
What is the value of (14/(-3))/((-1666)/9282)?
26
((-1 + 1 - -2) + -4)*1890/252
-15
Calculate (-2 + 4)*77/(2310/(-324)) + 18.
-18/5
What is the value of (-1240)/22940 - (-2 - 3439/(-37))?
-91
Evaluate 12 + (86 + 2)/(-2 + (-15 + -15)/6).
-4/7
(-396)/(-27) + 15700/300
67
Calculate (3792/8848 + 177/(-21))*(-7)/8.
7
Calculate (((-1155)/9)/(-7))/((-269)/807).
-55
Calculate 66864/(-1064) + 63 - 507/(-399).
10/7
Evaluate (1144/44044)/(-4 + 3).
-2/77
Calculate 1*2/(-22) - (45 + (222404/286)/26).
-75
Evaluate 13 + (-145 - -4 - 6 - (-408)/(-68)).
-140
What is the value of (-433 + 1)*(-5430)/32580?
72
Evaluate 6*3/108 + (-7180)/(-120).
60
What is 16/(-2) + (-1802)/41446*(2 + -2 + -178)?
-6/23
What is -83 + -55 - -50 - -100?
12
What is (15880/(-660) - -11 - 2/(-33))*(-1 - -2)?
-13
Evaluate 4/((-16)/146) - (3/2 + -2).
-36
What is (-31584)/2352*14/(-4)?
47
Calculate 13 - (11/(-660)*-55 + (-108)/(-9)).
1/12
What is ((-54)/15)/(2340/195 + 712/(-60))?
-27
What is (2/(-110))/(79/(-4740)*60)?
1/55
(1/(-357))/(55/315 - (-11)/99)*-3
1/34
(-1200)/110 + (-1)/11 - (-9984)/858
7/11
What is (-10)/(-45) + (-3)/(1296/(-66)) + 7140/(-96)?
-74
Calculate (108/15)/9*(7/(-1904)*-2776 + -8).
30/17
Calculate 3 + -20 + 950/100.
-15/2
-4 + (-585)/(-39) + 2424/(-88) - -17
5/11
What is the value of 20454/1078 - (-30)/(300/(-190))?
-2/77
(-1 - (11 + -11))/((-336)/(-111) - 3)
-37
What is the value of (-22)/(-671) - ((-89100)/(-1220) - 45)?
-28
What is (-54)/36 + 2967/(-86)*3?
-105
Evaluate (-4632)/(-8106) + 870/70.
13
14 + 0/(-2) - (2375417/(-4961) - -495)
-24/11
(-2365)/425 + 5365/925
4/17
What is the value of (-2175)/(-30)*(-38)/(-1045)*11?
29
What is the value of (-804)/469 + ((-8395)/(-840) + -10)/((-2)/583)?
1/48
(-387 - -391)/((-120)/102)
-17/5
What is (-30 + 8 + 28)/(3 - 35/10)?
-12
What is the value of (44 + (-4)/(1008/11067))*12/(-21)?
-1/21
Calculate (-39)/442*680850/(-675).
89
1190/(-6069)*(-408)/16
5
Calculate ((-69642)/(-324))/53 + (-682)/155 + (-2)/(-5).
1/18
What is 372/10 + 1/(-5) + 249 + -242?
44
Evaluate (6696/(-120) + 55)/(1/(-3)*(-12)/230).
-46
What is the value of (-2)/6*(-8823)/(-20587)?
-1/7
What is the value of (-5)/(-14915)*(554 - 516)?
2/157
Calculate ((-871)/(-1340) + 49/(-35))/(6/4).
-1/2
What is the value of 2259/(-133) - (240/32 + -16)*2?
2/133
17 + -17 + (-6)/((-1188)/(-126))
-7/11
Calculate (-42)/(-36) - 1 - ((-15323)/(-858) + -16).
-22/13
What is the value of 20/(-4) + 29 + -8 + (-16335)/1026?
3/38
What is 13080/(-480) + 53 - 38?
-49/4
-2671 + 2660 - 28/(1/1)
-39
What is the value of 65/(-26)*((-3)/9)/(33/990)?
25
What is 125/115 - 6 - (7 - (-1431)/(-207))?
-5
54 + 102 + (-65 - 8)
83
What is the value of -24 - 52391/(-2193) - (4 + -5)/(34/4)?
1/129
What is 626/33 + (-1957)/2266*22?
-1/33
What is ((-6)/12)/((-1)/78) + (-8)/(-160)*20?
40
Calculate 9/(-24) - (8 - -10 - (-6804)/(-224)).
12
What is 6/(-2679)*-28 - (20709/171 + -121)?
-2/47
(14 - 40) + -13 + 2090/(-38)
-94
(-288)/(-3)*(567/336)/27
6
(-504)/448*(-8)/(-234)
-1/26
What is the value of 24/254*(-107950)/(-1700)?
6
What is the value of 14 + -15 + (-902)/(286/(-13))?
40
Calculate (208/(-3276))/((-132)/231).
1/9
What is the value of (-9)/(-3)*(8/(-126))/((-685)/(-411))?
-4/35
What is (3 + 53)/((-15 + 11)*((-18)/2)/(-72))?
-112
What is the value of ((-129)/(23 + (-1232)/64))/(4/10)?
-86
What is the value of (-749)/(7850269/(-356800)) - 4/94?
34
What is the value of (75/250)/((-12446)/(-762) - ((-7)/6 + 1))?
1/55
What is the value of (((-160)/28)/(-20))/(0 + 0 - (-26)/3276)?
36
What is the value of (-8694)/(-10212) - (-170)/(-204)?
2/111
54/(-126)*(-193 + 192)
3/7
Evaluate 6/14 + (-114595)/(-135751).
14/11
Evaluate (-12)/32 - (-116610)/4784.
24
((-8099)/(-89))/273 + -3 + 4 + 338/30
63/5
Evaluate (-7)/((-567)/(-750)) + 502775/(-2295) + 219.
-28/3
-31 + 315*52/546
-1
What is the value of (11*12/132)/(((-75)/400)/(63/12))?
-28
2 - (4 + -3) - ((-60)/140)/(400/(-1008))
-2/25
What is (-76901)/(-6991) - (2/10 + (-416)/(-20))?
-10
What is the value of (-45*(-5)/450)/(((-27)/6)/1)?
-1/9
What is the value of -132*76/(-57)*(134/(-134) - 5/(-8))?
-66
Calcula
|
{
"pile_set_name": "DM Mathematics"
}
|
f f and 28/1209?
6045
What is the common denominator of 11/101 and (-638)/(-101) - 1/(11 + (-260)/24)?
101
Let k(x) = 265*x + 10. Let j be k(-5). Let s = 805 - j. What is the lowest common multiple of 4/(-14) - s/(-70) and 24?
120
Suppose 5*o - 13 + 3 = 0. Suppose -r + o*l + 8 = r, 8 = r - 2*l. Suppose r*s + 10 = 2*s. Calculate the least common multiple of 10 and s.
10
Suppose -4*n - 794 = -w, -3938 = -7*w + 2*w + 4*n. Let h be -2 + 0 + (-12442)/w. Let c = -1/262 + h. Find the common denominator of -103/38 and c.
114
Suppose 1048 = -7*i - 233. Let g = i + 210. What is the smallest common multiple of g and 21?
189
Suppose -43*d = -40*d - 9. Let x(z) = -174*z + 24. Let w be x(4). Find the common denominator of 1 + d - (-1168)/w and -67/30.
210
Suppose -6*f = 27*f - 17820. Calculate the lowest common multiple of f and 90.
540
Suppose 2524 = 18*x + 55*x - 396. Let u = -47 + 91. Calculate the lowest common multiple of u and x.
440
Let v be ((-8)/10)/((-32)/(-400)). Let f be (-5)/30 - (-26)/12. What is the common denominator of (-3 - 75/v) + f and -58/3?
6
Let h(n) = n**2 - 4*n - 8. Calculate the lowest common multiple of h(8) and (-6 - 1) + (-785)/471*(-306)/10.
264
Suppose -3*a = 4*p + 106 - 401, 5*a - 4*p - 449 = 0. Find the common denominator of 77/8 and (a/(-132))/(77/(-28) - -3).
88
Let z = 234003 - -224873. Let a be (((-6)/(-2))/(-45))/((-2)/z). Let u = a - 15290. What is the common denominator of u and 85/8?
120
Let d = -2191/8 - -2377/8. Find the common denominator of 35/82 and d.
164
Suppose 4*v - 993*r + 991*r - 4680 = 0, -4*v - 4*r = -4680. Calculate the smallest common multiple of 936 and v.
4680
Let c = 39 - 15. Let s be (4 + -5)/(-1) + 9. What is the least common multiple of (c/s)/(2/15) and 12?
36
Let m(j) = 8*j**2 + 8*j + 4. Let d(i) = -i**2 - 22*i - 43. Let l be d(-20). What is the lowest common multiple of 30 and m(l)?
780
Let n(y) = y**2 - 41*y - 81. Let o be n(44). Suppose 4*g = 5*t + 11 + 30, 3*g - o = -3*t. What is the lowest common multiple of g and 1458?
10206
Calculate the common denominator of (8/(-3))/((5326/(-6))/(2/3)) and -46/15.
39945
Let y = 68 - 82. Let a = y + 6. Let b = a - -14. Calculate the smallest common multiple of 10 and b.
30
Let u(c) = -c**3 - 14*c**2 + 33*c + 12. Let m be u(-16). What is the least common multiple of m/(-6)*(-27)/(-2) and 2?
18
Let o(v) be the second derivative of v**5/4 + v**4/4 + v**3/6 - 3*v**2/2 - v + 48. Calculate the least common multiple of 21 and o(1).
42
Suppose 108 = 111*u - 102*u. Let h = -446 + 1162. What is the least common multiple of h and u?
2148
Let y = -370/1891 - 127519/15128. Let f = 17091/120020 - -9/2824. Find the common denominator of y and f.
680
Let i = 252 + -158. Let w = -82 + i. Calculate the smallest common multiple of 12 and w.
12
Suppose 5*h - m = -732, -8*m + 6*m - 142 = h. Let k = -321/2 - h. Calculate the common denominator of k and 88/(-30) + (-2)/(-4).
30
Calculate the smallest common multiple of 636 and (315/42 + -8)/((-1)/14).
4452
Suppose 5*s + 5 = 0, -5*j - 2*s - 94 = -2. Let l be 3/j - 8690/24. Let r = l - -364. Find the common denominator of r and 61/6.
12
Let d = -12889254163/888 - -14514929. Let b = -3746/3 - -46192/37. Let g = d - b. Calculate the common denominator of 31/7 and g.
56
Suppose 0 = -8*q - 5420 + 844. What is the common denominator of 923/q + (-2)/8 + 1 and 11/48?
528
What is the common denominator of (-1)/4 - -1 - (-4413)/(-6156) and 131/54?
1026
Let g = 12 + 2. Suppose 38579 = 127*d - 35335. Calculate the smallest common multiple of g and d.
4074
Let x = 322/121 - 784279/484. Let a = -1599 - x. Suppose 0 = -580077*j + 580112*j - 245. What is the common denominator of a and j?
4
Let h = -5825 + 203844/35. Let u = 3320/11571 - 2/1653. What is the common denominator of u and h?
35
Suppose 42*m - 81*m = -49*m + 150. Calculate the smallest common multiple of m and 237.
1185
Let f = 420661/6451800 - 38/10753. Find the common denominator of f and -59/88.
6600
Find the common denominator of 1/364 and ((-2)/4 + -1)*(-5203)/(-43043).
364
Let h(z) = z**3 - 18*z**2 - 25*z + 36. Let f be h(20). Calculate the common denominator of 127/12 and 2170/f - (-2)/3.
24
Suppose 83 = 2*b - 73. Find the common denominator of 4 + (-550)/36 + 3 and 52/(-338) - 443/b.
18
Let j(x) = 5*x - 31. Let c(p) = -p**3 - 10*p**2 - 12*p - 11. Calculate the least common multiple of j(9) and c(-9).
112
Let p = -5729 + 5921. Calculate the least common multiple of p and 96.
192
Suppose 3 = 7*l - 4*l, -5*l - 667 = -4*w. Suppose 4*r - 100 = s, 0*r - 5*s + 4 = r. Calculate the least common multiple of r and w.
168
Let v(q) = q**2 - 30*q + 137. Calculate the smallest common multiple of v(25) and 3*220/(-18)*(-63)/105.
132
Suppose 5*m + 9 + 3 = a, 8 = -2*m. Find the common denominator of ((-1253)/175 + 9)/(a/(-5)) and 68/135.
540
Suppose 0 = 232*z - 228*z - 556. Suppose z*j - 210 = 132*j. What is the lowest common multiple of j and 25?
150
Let b = -989/4 - -246. Let d = 6391/4 + -8017/5. Calculate the common denominator of d and b.
20
Let f(y) be the first derivative of -19*y**2/2 + 136*y - 64. What is the least common multiple of 26 and f(6)?
286
Let l(x) = x**2 - 30. Let g be (-1 - (-7 + 3))*(3 + -2). Let i be ((-32)/(-12) - g)*-18. What is the lowest common multiple of 8 and l(i)?
24
Let q = 67310/61 + -2691027/854. Let x = -2046 - q. Let t = -323993/14 - -23136. Calculate the common denominator of t and x.
14
Let z = 452 + -1016. What is the common denominator of -2 + (-6)/(z/233) and ((-4)/48)/((-4)/(-162))?
376
Calculate the smallest common multiple of ((-6)/2)/(-1) + -36 + 408 and 200.
3000
Let j = 403 + -391. Let r(z) = 15*z - 26. Calculate the smallest common multiple of r(j) and 140.
1540
Find the common denominator of 53/931 and 3/24 - 14/(((-400)/(-41))/(-5)).
9310
Let c(k) = 6*k**3 - 2*k + 2. Let o be c(1). Let x = -19/31 - -13/527. Calculate the common denominator of x and (-3 + (-43)/(-10))*o.
85
Let c = -242 + 263. Let l = c - 17. What is the least common multiple of 30 and l?
60
Let l be (-11)/33 + (-15512)/(-46509). Let z = -1721073/1240240 + l. What is the common denominator of z and -125/48?
240
Let n = -27761/18 + 1543. Let y(s) = -13*s**3 - 4*s**2 - 3*s - 4. Let f be y(-3). Find the common denominator of 1464/f*(-4)/(-18) and n.
180
Let c be 2*-4 + (33 - 28). What is the common denominator of (2 - 309/(-72)) + c and 29/20?
120
Suppose 5*o - 4*o + 2*p + 453 = 0, 4*p + 1796 = -4*o. Let a = 814 + o. Let n = a - 677/2. Calculate the common denominator of -1/7 and n.
14
Let n = -2/65 - 1769/390. Calculate the common denominator of 137/420 and n.
420
Suppose 4*k - 438 = -u, -5*u - 5*k + 2687 = 377. What is the smallest common multiple of 188 and u?
940
Suppose 0 = -125*x + 60499 + 38533 - 11282. Calculate the smallest common multiple of x and 702.
702
Let a(w) = 2*w**3 - 4*w**2 - w + 7. Let z(u) = 4*u + 79. Let n be z(-19). Calculate the least common multiple of a(n) and 496.
5456
Suppose 4*j - 233 = -5*v + 3*j, 2*j + 4 = 0. Suppose 50*z - v*z - 135 = 0. Calculate the least common multiple of z and 45.
45
Suppose -34 = -3*m - 4. Suppose 3*h - 5*h + 5*o + 180 = 0, -3*h - 4*o = -224. Let f = h - 79. What is the lowest common multiple of m and f?
10
Let c = 53 - 34. Suppose c + 2 = 3*i. Suppose 10*q - i*q = 42. Calculate the smallest common multiple of q and 16.
112
Suppose -4*z - 12*z = 672. Calculate the common denominator of 31/276 and (-7)/z*606/(-8).
552
Let n be 764/28 + -5 - (-20)/(-70). Suppose -52 = 9*h - n*h. Calculate the lowest common multiple of h and 107.
428
Let a = -28/67849 + 12193187/116835978. What is the common denominator of a and 51/328?
6888
Suppose 0 = -3*g - 2*r - 33 + 50, -g - 9 = -3*r. Calculate the lowest common multiple of 117 and 78/(-2*(-4 - -1)/g).
117
Let j(y) = 14*y**3 - 17*y**2 - 28*y + 19. Let h be j(-12). Let p = -1103909/42 - h. What is the common denominator of 51/14 and p?
42
Calculate the least common multiple of (-225)/21*7973/(-51) and 30.
10050
Let k = -842 - -582. Calculate the least common multiple of 14 and (-6)/21 + k/(-28).
126
Calculate the common denominator of ((-60)/(-2835))/((-117)/(-52)) and 56/3.
1701
Let a be -3*(-1)/(-4) + (-2321)/(-44). Suppose y + 20 = 3*k, 2*y = -5*k - 4 + a. What is the least common
|
{
"pile_set_name": "DM Mathematics"
}
|
ob of picking 2 h and 2 j.
3/5
Three letters picked without replacement from oobooboohyooob. What is prob of picking 1 b and 2 o?
27/91
Two letters picked without replacement from {h: 1, x: 1, g: 2, q: 3}. What is prob of picking 2 g?
1/21
Three letters picked without replacement from rzjbrjff. Give prob of picking 1 r and 2 f.
1/28
Four letters picked without replacement from {k: 2, t: 2, z: 8, l: 4}. Give prob of picking 3 z and 1 t.
4/65
Calculate prob of picking 2 d when two letters picked without replacement from {h: 2, v: 1, d: 4}.
2/7
What is prob of picking 2 z when two letters picked without replacement from {t: 9, f: 1, n: 3, z: 2, y: 4}?
1/171
Four letters picked without replacement from ozhzzoozohooorzzzo. Give prob of picking 1 h and 3 o.
28/765
What is prob of picking 2 v when two letters picked without replacement from {v: 2, x: 2}?
1/6
Two letters picked without replacement from {m: 5, d: 1, z: 4, x: 1, o: 4}. Give prob of picking 2 o.
2/35
Calculate prob of picking 2 d when two letters picked without replacement from edydeedy.
3/28
Three letters picked without replacement from {c: 2, x: 4}. Give prob of picking 3 x.
1/5
Two letters picked without replacement from {u: 2, d: 4, l: 1, f: 5, k: 2}. What is prob of picking 1 f and 1 l?
5/91
What is prob of picking 3 w when three letters picked without replacement from {w: 9, t: 2, p: 5}?
3/20
Three letters picked without replacement from ccacannnvcn. What is prob of picking 1 c, 1 n, and 1 v?
16/165
Calculate prob of picking 3 u when three letters picked without replacement from {e: 1, j: 4, u: 4, a: 1, f: 5, s: 4}.
4/969
Calculate prob of picking 1 r and 1 h when two letters picked without replacement from bhbmhbbhrhbrbbbm.
1/15
Calculate prob of picking 1 p and 3 u when four letters picked without replacement from uuwpwuuup.
10/63
Calculate prob of picking 2 r when two letters picked without replacement from {q: 4, r: 7}.
21/55
Four letters picked without replacement from {e: 4, d: 2, z: 1, g: 4}. Give prob of picking 1 d, 2 e, and 1 g.
8/55
What is prob of picking 1 w and 1 v when two letters picked without replacement from {d: 1, v: 1, w: 1}?
1/3
Four letters picked without replacement from {i: 5, h: 3, j: 8}. What is prob of picking 3 h and 1 j?
2/455
Calculate prob of picking 2 g and 2 i when four letters picked without replacement from iggiiiiiiiigiii.
66/455
Four letters picked without replacement from {g: 3, p: 1, c: 3, j: 3, w: 1}. Give prob of picking 1 p and 3 j.
1/330
Two letters picked without replacement from vvvyvvyvvvvvvvyv. What is prob of picking 1 y and 1 v?
13/40
Calculate prob of picking 2 m and 2 x when four letters picked without replacement from mxvwwmfxmnvm.
2/165
What is prob of picking 2 c and 2 d when four letters picked without replacement from {d: 3, c: 4}?
18/35
Two letters picked without replacement from {v: 4, k: 10}. Give prob of picking 1 v and 1 k.
40/91
Four letters picked without replacement from grrgg. Give prob of picking 2 r and 2 g.
3/5
What is prob of picking 1 f and 1 m when two letters picked without replacement from {t: 1, e: 2, m: 1, f: 1}?
1/10
Calculate prob of picking 2 v when two letters picked without replacement from {v: 4, m: 2, n: 4, i: 5, g: 1}.
1/20
Three letters picked without replacement from {a: 3, o: 1, r: 3, s: 3, h: 2, l: 1}. Give prob of picking 2 h and 1 a.
3/286
Four letters picked without replacement from qquuuqququuqu. What is prob of picking 3 u and 1 q?
42/143
Two letters picked without replacement from rrrrrykyk. What is prob of picking 2 k?
1/36
Four letters picked without replacement from {f: 3, u: 2, j: 3, t: 2, i: 5}. What is prob of picking 1 j, 2 f, and 1 u?
6/455
Two letters picked without replacement from {w: 1, g: 9, d: 1, c: 3}. What is prob of picking 1 g and 1 w?
9/91
What is prob of picking 1 t and 2 k when three letters picked without replacement from {k: 2, v: 2, t: 4, g: 1, p: 10}?
4/969
Calculate prob of picking 1 b and 1 e when two letters picked without replacement from {p: 1, q: 1, e: 1, b: 1, u: 2, f: 1}.
1/21
Two letters picked without replacement from {n: 1, i: 1, h: 1, y: 1, z: 4}. Give prob of picking 1 n and 1 z.
1/7
Three letters picked without replacement from jejkkcjvvikk. What is prob of picking 1 e, 1 c, and 1 j?
3/220
What is prob of picking 3 r when three letters picked without replacement from {r: 14, y: 1}?
4/5
Two letters picked without replacement from dddyddyddydd. Give prob of picking 2 d.
6/11
Calculate prob of picking 4 m when four letters picked without replacement from mhhhhmhhhhhhhmhhhmmh.
1/969
Calculate prob of picking 1 v, 1 q, and 2 k when four letters picked without replacement from kqmqvmqqnqmmkmqmm.
3/1190
Three letters picked without replacement from llrglgggflrlgrrlrl. Give prob of picking 3 r.
5/408
Three letters picked without replacement from avvaaa. Give prob of picking 2 a and 1 v.
3/5
Three letters picked without replacement from vfzozjvo. Give prob of picking 1 j and 2 o.
1/56
What is prob of picking 3 l when three letters picked without replacement from xxsrlirlxrxlmxxix?
1/680
Three letters picked without replacement from bhtbtbchbcehtttb. Give prob of picking 3 h.
1/560
Two letters picked without replacement from {w: 1, x: 1, m: 1, q: 2, i: 1, k: 2}. Give prob of picking 2 m.
0
What is prob of picking 2 w and 2 b when four letters picked without replacement from wwpbpbpppppp?
1/495
What is prob of picking 1 h and 3 g when four letters picked without replacement from hhgghggg?
3/7
Calculate prob of picking 1 h and 1 k when two letters picked without replacement from {h: 4, e: 3, k: 1, p: 1, o: 5}.
4/91
Three letters picked without replacement from {n: 7, w: 2, s: 3}. What is prob of picking 3 n?
7/44
Calculate prob of picking 3 q when three letters picked without replacement from {w: 4, m: 2, q: 6, y: 1}.
10/143
What is prob of picking 1 f, 2 x, and 1 i when four letters picked without replacement from {i: 5, x: 3, f: 4}?
4/33
Four letters picked without replacement from rrwwrprrp. Give prob of picking 2 r, 1 p, and 1 w.
20/63
Three letters picked without replacement from {p: 5, w: 1, f: 5}. What is prob of picking 1 w and 2 p?
2/33
Two letters picked without replacement from {c: 1, v: 3, p: 3, k: 1, i: 3, d: 3}. Give prob of picking 1 i and 1 v.
9/91
Two letters picked without replacement from ueeuueeuuuuucueeeuee. Give prob of picking 2 u.
9/38
What is prob of picking 2 t when two letters picked without replacement from {x: 8, r: 2, t: 5}?
2/21
Calculate prob of picking 1 y and 3 s when four letters picked without replacement from ysyssyyssyyy.
14/99
Two letters picked without replacement from {z: 4, y: 2, h: 1, k: 3, d: 1}. Give prob of picking 1 d and 1 h.
1/55
Three letters picked without replacement from {s: 3, x: 1}. What is prob of picking 1 x and 2 s?
3/4
Four letters picked without replacement from {k: 2, s: 4, h: 3, q: 1, j: 4}. What is prob of picking 1 h, 2 j, and 1 k?
36/1001
Four letters picked without replacement from oooocoooooooorooooo. What is prob of picking 3 o and 1 c?
10/57
Two letters picked without replacement from {g: 2, j: 2, t: 5, l: 3}. What is prob of picking 2 g?
1/66
Calculate prob of picking 2 u and 1 g when three letters picked without replacement from {g: 6, u: 6}.
9/22
Three letters picked without replacement from emeeeeeeeeemeeeeeeem. What is prob of picking 1 e and 2 m?
17/380
Two letters picked without replacement from vvccivvvccviv. Give prob of picking 2 v.
7/26
Calculate prob of picking 1 c and 1 l when two letters picked without replacement from clclnccnccccclcccc.
13/51
Four letters picked without replacement from {a: 4, k: 3}. Give prob of picking 1 a and 3 k.
4/35
Three letters picked without replacement from {z: 7, r: 6}. Give prob of picking 2 z and 1 r.
63/143
Four letters picked without replacement from kgkykkkkekykgk. What is prob of picking 2 y and 2 k?
36/1001
Calculate prob of picking 2 c and 1 u when three letters picked without replacement from cgcccuuuvuvuv.
15/143
Three letters picked without replacement from {b: 1, g: 8, e: 1, s: 6}. What is prob of picking 1 s, 1 b, and 1 e?
3/280
What is prob of picking 1 z, 1 f, and 1 b when three letters picked without replacement from fbbbffbbffbzb?
|
{
"pile_set_name": "DM Mathematics"
}
|
50 + (-3 - (2 + g)).
2, 3, 5
Suppose 4*u + 1053 = 17*u. What are the prime factors of u?
3
Let x(z) = 2*z**2 + 14*z - 77. List the prime factors of x(-25).
823
Suppose 0*v - 18*v = -4896. What are the prime factors of v?
2, 17
Suppose 0 = -22*l + 115*l - 477741. What are the prime factors of l?
11, 467
Let v(k) be the third derivative of -7*k**4/3 + k**3/2 + k**2. Let m be v(-1). Let t = -25 + m. List the prime factors of t.
2, 17
Let s(h) = h + 11. Let b be s(5). Suppose b = -3*w + 7*w. Let o(v) = 4*v + 3. What are the prime factors of o(w)?
19
Let d be (-150)/(-35)*(-6 - (-1)/(-1)). Let m = d + 38. List the prime factors of m.
2
What are the prime factors of 3/(-1)*3/(6/(-26))?
3, 13
Let x be (5 - 3 - -40) + -2. Suppose -5*m - x = -2*r, 2*m + 39 = 4*r - 41. List the prime factors of r.
2, 5
Let s(z) = 116*z - 99. What are the prime factors of s(6)?
3, 199
Suppose 0 = 25*u - 34*u + 26235. List the prime factors of u.
5, 11, 53
Suppose -129 = 4*h + 5*v, 3*v + 1 = -h + 8*v. Let q(f) = -f - 1. Let w be q(0). Let y = w - h. List the prime factors of y.
5
List the prime factors of 31/(5 - (-8)/(224/(-138))).
2, 7, 31
Let x = -25 - -26. What are the prime factors of (-31 + x)*(-187)/33?
2, 5, 17
Let f(m) = -m**3 + 16*m**2 + 17*m + 20. What are the prime factors of f(-10)?
2, 5, 7
Suppose -4 = -2*s, s + s + 9 = k. Let y be 48/288 + 10/12. Suppose j = -y + k. List the prime factors of j.
2, 3
Let j(h) = 12 - h + 26*h**2 - 23*h**2 - 1 + 3*h. List the prime factors of j(-6).
107
Let g be 4/(-28) + (-100)/(-14). Suppose -b + 61 = -g. List the prime factors of b.
2, 17
Let g = 2505 - 1000. List the prime factors of g.
5, 7, 43
Let y(i) = 45*i + 714. List the prime factors of y(-10).
2, 3, 11
Let x be (-52)/(-14) + 16/56. Suppose 5*z = 4*f - 233, -x*f = -z - 0*z - 229. Suppose 6*c - f - 69 = 0. List the prime factors of c.
3, 7
Let u(c) = -5*c**3 - 6*c**2 - 19*c + 3. What are the prime factors of u(-6)?
3, 109
Suppose 5*x - 3*f - 25 = 0, -x + 3 = 2*f - 2. Suppose 0 = 5*w + x, j + 3*w = 2*j - 6. Suppose 10 + 80 = j*m. What are the prime factors of m?
2, 3, 5
List the prime factors of 164892/234 - (-1)/3.
3, 5, 47
Suppose -4*g = 0, 2*l + 5*g + 0*g = -98. Let n = l - -103. Suppose -4*c + 2*s + 14 = -n, 5*s = 20. List the prime factors of c.
19
What are the prime factors of (-4 - (-9 + 0)) + 31 + -1?
5, 7
Let r = -204 - -39. Let i = 29 - r. List the prime factors of i.
2, 97
Suppose -4332 + 1012 = -8*x. What are the prime factors of x?
5, 83
Suppose -9*j = -3677 + 824. What are the prime factors of j?
317
Let l = 11 + -6. Suppose -3 = 3*y - 0*y, 2*n = l*y + 347. What are the prime factors of n?
3, 19
List the prime factors of (-6829)/(-5) + (-65)/(-325).
2, 683
Let b(n) = 604*n**2 - 18*n - 1. What are the prime factors of b(1)?
3, 5, 13
What are the prime factors of (-166)/(-5) - -2*2/5?
2, 17
Let q(d) = d + 7. Let c be q(-7). Suppose -5*z + 342 = 2*l, c = -3*z + 4*l - 0*l + 200. List the prime factors of z.
2, 17
List the prime factors of (1 - -50)*(-10 - 440/(-30)).
2, 7, 17
Let x = 75 - 70. Suppose -a - 260 = -x*a. List the prime factors of a.
5, 13
Let d(j) = 2*j**2 + 23*j + 54. What are the prime factors of d(-17)?
241
List the prime factors of (2 + 9 + -117)*(-26)/4.
13, 53
Suppose 9*l - 8382 = -444. List the prime factors of l.
2, 3, 7
Suppose -6*x + 2964 = -450. List the prime factors of x.
569
Suppose -2*c + 0*c + 3*n = 21, 2*c + 4*n = 0. Let g(z) be the first derivative of 2*z**3/3 + 7*z**2/2 + 9*z - 1. What are the prime factors of g(c)?
3, 13
Let o = -29 - -35. Let l(i) = -i**3 + 5*i**2 + 12*i - 7. List the prime factors of l(o).
29
Let d = -139 + 268. Let j = 240 - d. List the prime factors of j.
3, 37
Suppose -4*u - 3*g = -2240, 2*u - 201 = g + 919. List the prime factors of u.
2, 5, 7
Let d = 8456 - 5023. What are the prime factors of d?
3433
Suppose -2*f - 4 = 2*s, 3*f = 3 - 18. Suppose -4*m - 648 = -9*m + s*n, -m + 112 = -5*n. What are the prime factors of m?
2, 3, 11
What are the prime factors of 18/(-4)*(17816/(-51) + -22)?
3, 557
Suppose 3*w - 944 = 793. List the prime factors of 5/(60/w) - 2/8.
2, 3
Suppose -2*l + 6*l = -20. Let x be (2 + 31)*l/15. Let h = x + 51. What are the prime factors of h?
2, 5
Suppose 5*l - 5945 = 5*d, d + 4231 = 5*l - 1706. List the prime factors of l.
1187
Let q = 15 + -25. Let s be -1 + 2 + (q - -14). Suppose -5*v = 2*j - 35 - 32, -v = -s. List the prime factors of j.
3, 7
Let k(m) be the first derivative of m**3/3 - 4*m**2 - 4*m - 6. Let q be k(6). Let d = 32 + q. What are the prime factors of d?
2
Let q = -2016 + 3613. What are the prime factors of q?
1597
Let x(w) = 62*w**2 + 2*w + 2. Let m be x(-1). Let c = m - 56. List the prime factors of c.
2, 3
Let l(x) be the second derivative of 71*x**3/3 + 5*x**2/2 - 2*x + 9. What are the prime factors of l(2)?
17
Suppose 0 = i - 4*z, 0 = -z - z. Suppose i = 5*c + 3*f + 69, 5*c - 2*f = -33 - 21. Let n(j) = j**3 + 11*j**2 - 13*j - 1. What are the prime factors of n(c)?
11
Let o(k) = 90*k**2 + 5*k + 19. List the prime factors of o(-3).
2, 11, 37
Suppose 0 = -t + 2*p - 6*p + 219, -p + 466 = 2*t. List the prime factors of t.
5, 47
Let a = 2 - -23. Suppose 9 = d - 3*v, -5*d - 7*v = -2*v - a. List the prime factors of d.
2, 3
List the prime factors of -194*(-3)/2*(-14)/(-42).
97
Let i = 8 - 6. Suppose 0 = -4*x - d + 10, x + 2*x - 13 = i*d. Suppose -m + x*m = 24. List the prime factors of m.
2, 3
Let m be 72/(-60)*25/(-2). Suppose -907 = -m*f + 1253. List the prime factors of f.
2, 3
Suppose -44*a + 4774 = -22*a. What are the prime factors of a?
7, 31
List the prime factors of -2*(10 + -9)*-1331.
2, 11
Suppose -328 = -4*h + 748. List the prime factors of h.
269
List the prime factors of 550*(-66)/24*(0 - 2).
5, 11
Let i = 748 + -315. List the prime factors of i.
433
Suppose 0 = -u + 2, 0 = -x + 5*u + 81. List the prime factors of x.
7, 13
Let k(t) = -144*t + 38. List the prime factors of k(-8).
2, 5, 7, 17
What are the prime factors of (12 + -6 - -247) + -6?
13, 19
List the prime factors of -2*(-5 - -4) - -915.
7, 131
Suppose 3*i - 24 = 11*i. What are the prime factors of (11/2 + i)*126/35?
3
Suppose -7*d = -12*d + 2910. List the prime factors of d.
2, 3, 97
Let i = -7985 + 12815. List the prime factors of i.
2, 3, 5, 7, 23
Suppose -11 = -5*w - 31. Let f be 8/16 - 6/w. Suppose -f*n - 3 + 54 = a, 5*n + 191 = 4*a. List the prime factors of a.
7
Let l(c) = 38*c**2 + 2*c + 1. Suppose 0 = 4*a - 9*a + 5. Suppose 5*h = -o + 4*o - 12, -h + a = -4*o. What are the prime factors of l(o)?
37
Suppose -5*k = -2*f - 2*f + 1494, 5*f - 1876 = 2*k. What are the prime factors of f?
2, 47
Let t(n) = -19*n - 74. List the prime factors of t(-31).
5, 103
Let d be (1/3)/(1/12). Suppose -5*y - 5*b = 0, -d*b = 4*y - 5*b - 15. What are the prime factors of (y/9)/(5/195)?
13
Let d(b) = 2*b**3 - 2*b**2 - 4*b. Let m be d(3). Let x = 39 - m. Let r = x - 9. What are the prime factors of r?
2, 3
Suppose 2359 = 5*m - d, -9*d = -3*m - 6*d + 1425. List the prime factors of m.
3, 157
Let m be 4*((-3)/(-6) - 0). Let b(u) = -u**2 + 3 + u**2 + 4*u**3 + u**2 + u**m - 2*u. List the prime factors of b(2).
3, 13
Suppose 21*j - 20*j - 238 = 0. Suppose i - 2*s = -11 + j, 0 = 3*i - 3*s - 690. List the prime factors of i.
233
Let d(j) = -5*j + 17. Let l = 9 + 3. Suppose 3*h = -4*c - 12, -2*h - h - l = 5*c. List the prime factors of d(h).
37
What are the prime factors of ((-15)/12)/((-5)/740)?
5, 37
Let r = 4022 - 22. List the prime factors of r.
2, 5
What are the prime factors of 2 - (-33186)/30 - (-3)/(-15)?
2, 277
Let x(o) = -116*o - 107. What are the prime factors of x(-16)?
3, 11, 53
Let y(s) = -2*s**2 - 4*s - 5. Let a(h) = -h**2 - 2*h - 2. Let j(l) = -7*a(l) + 3*y(l). Let x = -25 - -27. List the prime factors of j(x).
7
Suppose 7*p - 2180 = 200. What are the prime factors of p?
2, 5, 17
Let r(z) = 589*z - 328. What are the prime factors of r(3)?
1439
Let o = 30 - 25. Suppose 219 = o*x - 106. List the prime factors of x.
5, 13
Let n(x) = x**3 - x**2 - x - 2. Let j(s) = -s**2 + 1. Let z be j(1). Let d be n(z). List the prime factors of ((-30)/(-35))/(d/(-7)).
3
Let k be 22/(-11) - (1 - 6). Let a be 2 - (k - (0 + 3)). Suppose a = b - 2. What are the prime factors of b?
2
Suppose 3*c = -5*t + 789, -6*t - 12 = -10*t
|
{
"pile_set_name": "DM Mathematics"
}
|
8.1*1259.
-2578557.9
-66089*-3.9
257747.1
Work out -20 * -13368.52.
267370.4
0.0074648*-0.1193
-0.00089055064
What is 1.2 times -1094654?
-1313584.8
4.66*16.0471
74.779486
Work out 0.1 * 1296.97556.
129.697556
What is -975 times 3664?
-3572400
What is 1.3 times 84850.7?
110305.91
What is -3 times -191788226?
575364678
What is -0.054125248 times 8?
-0.433001984
Product of 738983 and 523.
386488109
What is the product of -0.09163 and 0.06398?
-0.0058624874
Calculate 2790870*4.
11163480
Work out 1214476240 * -0.4.
-485790496
Calculate 4.416*15100.
66681.6
Calculate 8552*-383.97.
-3283711.44
Multiply 6009 and 0.997.
5990.973
What is the product of -0.54821 and -0.783?
0.42924843
-0.22 * 300994.3
-66218.746
What is -14810 times -160?
2369600
What is 7201 times -123132?
-886673532
What is 1 times 130534?
130534
Multiply 840471 and -0.32.
-268950.72
Multiply 0.814543 and -0.41.
-0.33396263
-43797230 * -6
262783380
Product of -5 and -77292538.
386462690
Multiply -24322 and -0.112.
2724.064
What is 1701.03 times -4183?
-7115408.49
Multiply 0.20573993 and 6.1.
1.255013573
Calculate 0.4*-0.21914695.
-0.08765878
18350.99*-0.05
-917.5495
9*29038164
261343476
Multiply 596.2 and -30091.
-17940254.2
1 times -0.035323888
-0.035323888
-143904*14
-2014656
9234958 times 14
129289412
Calculate 8917.961*20.
178359.22
Multiply -151685525 and -1.
151685525
Multiply 7 and 10951992.
76663944
Work out -744425 * -4.
2977700
7884048 * 8
63072384
Product of -0.2 and -313.33138.
62.666276
250 * 0.034062
8.5155
Multiply -21588.1 and 0.05.
-1079.405
Multiply -43429 and 623.
-27056267
What is the product of -14.75787067 and -1?
14.75787067
Multiply 17875 and -749.4.
-13395525
Product of 35.7 and -676.
-24133.2
Multiply -14671 and -0.2456.
3603.1976
-270553223*-0.2
54110644.6
Work out 3350 * 34574.
115822900
1922521 times 0.2
384504.2
What is the product of 1040 and 1182?
1229280
-0.6026 times -31.99
19.277174
Work out 10 * -4982209.2.
-49822092
What is 269 times 151179?
40667151
Work out 3 * -0.0268948.
-0.0806844
Product of 5623.7 and 477.
2682504.9
Work out 140819 * -231.
-32529189
Multiply -678 and 132498.
-89833644
Multiply -2 and -292771759.
585543518
-299.8346 * 2
-599.6692
Work out -4 * -421147.
1684588
15.48875 times 28
433.685
-595.3171 * 2
-1190.6342
-0.0482077363 times -0.3
0.01446232089
What is the product of 213.83962 and -5?
-1069.1981
Calculate -624*-5757.
3592368
What is the product of 327962 and 0?
0
697761 times 1.04
725671.44
Multiply 849694888 and 0.
0
Calculate -1008*0.1441.
-145.2528
-25 times 118458.12
-2961453
Multiply -38572426 and 3.
-115717278
41149093*3
123447279
What is 16110106 times -0.08?
-1288808.48
Multiply 12.410428 and 1.
12.410428
Calculate -4791.8*-0.005.
23.959
Product of 0.005421 and -28.882.
-0.156569322
1783*-1.51469
-2700.69227
Calculate 1*-612498.
-612498
Multiply 158333027 and 0.1.
15833302.7
Multiply 223 and -16.23.
-3619.29
39 * -24559.01
-957801.39
-1913226 times 0.06
-114793.56
75103754 times 4
300415016
Multiply 4.1 and 0.078308.
0.3210628
52495435 times 1.2
62994522
Work out 90284.13 * 5.
451420.65
Calculate -1.1918462*-5.
5.959231
-2.7 * -9.29751
25.103277
Product of 0.1 and -54840.252.
-5484.0252
Work out 7.6 * -19165.
-145654
Calculate -50904462*-0.3.
15271338.6
What is -1229821 times -10?
12298210
Work out 0.18 * -0.571413.
-0.10285434
What is the product of 1 and -0.34521293?
-0.34521293
What is the product of 0.08 and -834689?
-66775.12
What is the product of 12893599 and -0.5?
-6446799.5
What is the product of -0.4389547 and 0.1?
-0.04389547
-1211.815*-0.06
72.7089
-97*15.8857
-1540.9129
What is 3003 times 31.434?
94396.302
Work out -10.93 * -0.60912.
6.6576816
-3*-892342
2677026
Multiply 904 and 172.
155488
What is the product of 3 and -2074.49?
-6223.47
Work out -458998 * -29.
13310942
Calculate -152.9416*-0.181.
27.6824296
What is the product of -1382 and 7320.8?
-10117345.6
-0.25 times 187955.9
-46988.975
What is the product of 38346 and 0.064?
2454.144
Product of -7092676 and 0.47.
-3333557.72
What is the product of -281218.7 and -1?
281218.7
Multiply -34.5 and -0.2299.
7.93155
2*-324735
-649470
-0.27038 times 15.741
-4.25605158
Work out 26929 * 32.
861728
-214038217 times 0.2
-42807643.4
Multiply -376.5 and 71.5.
-26919.75
What is 881.2 times -31?
-27317.2
-3891379 times 0.18
-700448.22
0.4 times 8886597
3554638.8
What is the product of 7.907425 and -1.5?
-11.8611375
What is the product of -135.6 and 21850?
-2962860
3 times -1108.769
-3326.307
Product of 87786 and -1916.
-168197976
Work out -4800511 * -17.
81608687
Calculate 9*36538.1.
328842.9
What is the product of -0.724995 and 49?
-35.524755
What is the product of 0.4 and -1193.4638?
-477.38552
Multiply 1047114 and 5.
5235570
-30740 times -0.086
2643.64
Work out 1350190 * 5.
6750950
-1187582 * -17
20188894
What is -54 times 16921271?
-913748634
-0.4*23164.301
-9265.7204
0.3623354*2.4
0.86960496
932160 * 0.2
186432
-496574 * 118
-58595732
-0.1*-9221526
922152.6
-0.3*828.6754
-248.60262
0.4*261261148
104504459.2
Calculate -3240*-13954.
45210960
Work out -1.1 * -367512.
404263.2
Work out -0.357098 * 5.14.
-1.83548372
Calculate 87036.1*-0.003.
-261.1083
-3.009699 times -27
81.261873
Calculate 1719412*0.046.
79092.952
Work out -145.31 * -97.
14095.07
What is 991233 times -0.05?
-49561.65
Multiply 1574798 and -0.4.
-629919.2
31.837779 times 0.4
12.7351116
Work out 11 * 925851.7.
10184368.7
Calculate -40*-219.0455.
8761.82
Work out -4.374 * 129.
-564.246
Product of -198 and -36.32899.
7193.14002
What is the product of -1277 and -10.856?
13863.112
Product of 5.104521 and 85.
433.884285
Work out 0.3 * 3422474.
1026742.2
What is the product of -768 and -3.172?
2436.096
What is 2670393 times -17?
-45396681
-1.9477*0.435
-0.8472495
Product of -0.051 and -17101.
872.151
What is the product of -627.1021 and -9.7?
6082.89037
-6.03207*-10.14
61.1651898
Work out 11.327 * 152.
1721.704
Product of -11 and 25781.69.
-283598.59
Product of -27 and -612951.
16549677
What is the product of -10889.9 and -0.08?
871.192
0.7 times 512948
359063.6
Calculate -0.59058*1.32.
-0.7795656
Multiply 0 and -12535053.
0
-6 times -1171038
7026228
Product of -0.40654 and -0.111.
0.04512594
Product of 1644 and 20693.
34019292
-6 * -3331.509
19989.054
3 times -2281653
-6844959
Work out -6.16 * 58.
-357.28
Work out -30 * 223127.
-6693810
What is the product of -158 and -159319?
25172402
6.7*-5.045
-33.8015
Product of -7328991 and 0.3.
-2198697.3
Work out -998 * -0.0513.
51.1974
What is the product of 2329 and 0.65794?
1532.34226
What is the product of 0.19697804 and -0.5?
-0.09848902
Multiply 0.0247 and -1.852.
-0.0457444
Work out 237 * -1234.16.
-292495.92
138.21423 * 5
691.07115
1.362575 * -94
-128.08205
Multiply 0.0505 and 30742.
1552.471
What is the product of -689 and 50504?
-34797256
Product of 46 and -56998.
-2621908
Work out -732 * 164175.
-120176100
What is -631 times -25.4742?
16074.2202
Work out 13.3 * -27580.
-366814
Calculate 12280*0.17445.
2142.246
Calculate 285056.08*0.07.
19953.9256
Calculate 194141*-39.
-7571499
0.107869 * -0.01922
-0.00207324218
4*-6568443
-26273772
Product of -9.89 and -1390.
13747.1
-0.5 * 1896.20398
-948.10199
1.9 times -31230
-59337
-2 times 4686.783
-9373.566
-0.06379*-27127
1730.43133
What is 0.25 times -2787671?
-696917.75
0.199583331 * -2
-0.399166662
Multiply 758149 and 0.52.
394237.48
Product of -4 and -180886.732.
723546.928
-0.1201 * 33000
-3963.3
Work out -0.05824 * -3430.
199.7632
Product of -54848688 and 4.
-219394752
139570562 times -0.1
-13957056.2
Calculate 22252*-0.01095.
-243.6594
What is the product of -510321 and 0.04?
-20412.84
Multiply -211619 and 1.65.
-349171.35
Work out 4 * 604887.7.
2419550.8
Work out 178898621 * -4.
-715594484
-25804702 times -0.2
5160940.4
Multiply -0.0558 and 16342.
-911.8836
9107479 times 8
72859832
Multiply -117329 and -0.0313.
3672.3977
Multiply -9.8 and 159470.
-1562806
What is the product of 1.821713 and -5?
-9.108565
Multiply 10 and -3057055.
-30570550
1197 * -3112.8
-3726021.6
34104 * 117
3990168
Multiply -30 and 341703.
-10251090
-462.4777 * 0.06
-27.748662
Product of 1524546 and 19.4.
29576192.4
What is the product of 1487 and -234096?
-348100752
What is the product of -3629605 and -3?
10888815
-3 * -30.9001
|
{
"pile_set_name": "DM Mathematics"
}
|
uppose 3*c = -p + 40, s*c - 3*p - 12 - 24 = 0. What is the highest common factor of c and 84?
12
Let v(l) = -3*l + 1. Let h(m) = 28*m + 60. Let f(d) = -2*h(d) - 14*v(d). Let s be f(-29). What is the greatest common factor of 16 and s?
16
Let u be (-102)/4*(-16)/(-8). Let b = u + 53. Calculate the greatest common factor of b and 7.
1
Suppose 12*r - 9*r = o + 15592, 10398 = 2*r + o. What is the greatest common divisor of r and 92?
46
Let u = 10126 - 9739. Calculate the highest common divisor of 2451 and u.
129
Suppose 3*w + 7091 = 4*c, 5*c - 38*w = -33*w + 8870. What is the greatest common divisor of c and 116?
29
Let v(m) = -2*m - 6. Let i be v(-7). Let s = -15 + -117. Let w be (-352)/s*(-6)/(-8). Calculate the highest common factor of w and i.
2
Suppose -417 = 5*i - 2*i. Let k(g) = -87*g - 1050. Let q be k(-11). Let z = q - i. What is the highest common factor of 184 and z?
46
Suppose 0 = 5*b + 211 - 2146. Let m(r) = 0 + 2*r**3 + 0 - 13*r**2 - 45*r - 3*r**3 - 1 + 4. Let l be m(-8). What is the greatest common factor of b and l?
43
Let b be 2 + (-3 - -5) - -2. Let u = 6 + b. Suppose -4*w + 15 = 3. What is the highest common divisor of u and w?
3
Let h be 6 + (7 - (-9)/(5 - 4)). Calculate the greatest common factor of 4972 and h.
22
Let g(p) be the second derivative of -5*p**3/6 + 119*p**2/2 - 237*p. Let r be g(22). What is the greatest common factor of 486 and r?
9
Let d = 89 - 90. Let n be (100/(2 + -4))/(0 + d). What is the highest common factor of 50 and n?
50
Let b be (-14)/10 - 2/(-5). Let s be 0 + 3 + 1 + b. Let g be 1050525/(-13340)*8/(-30). What is the highest common divisor of s and g?
3
Let m = -4687 + 4723. What is the highest common factor of 324 and m?
36
Let n(h) be the third derivative of -h**6/120 + 3*h**5/20 - 3*h**4/4 + 4*h**3/3 - 3*h**2 + h. Let s be n(6). Calculate the greatest common divisor of s and 8.
8
Let c be 0*(7/2 + -3). Suppose c = 4*d - 6*d. Suppose d*g + 928 = 4*g. Calculate the greatest common factor of g and 29.
29
Suppose 20*q - 4217 = 6663. Calculate the greatest common factor of q and 32.
32
Suppose 3*q - 4073 - 1911 = -4*m, -3*q - 2974 = -2*m. Let w = -1013 + m. Suppose -3*i + w = -i. What is the greatest common divisor of i and 24?
24
Let i be 3 + 2 + 0 + 6 + 3. What is the highest common factor of 1358 and i?
14
Let b be (-27)/6*(112/4)/(-2). Suppose 0 = -6*v - 239 + 617. What is the greatest common divisor of b and v?
63
Suppose 3*i + 46 = -2. Let b be (-6 - i)/5*14/4. Suppose 0 = -2*p - 4, -b*p = -3*t - 9*p + 32. What is the greatest common divisor of t and 30?
6
Let j be 26390/(-105)*((-2)/2 - 5). What is the greatest common factor of 58 and j?
58
Let c be (-2050)/(-15)*4/((-16)/(-12)). Let a = c + -368. Calculate the greatest common factor of 1302 and a.
42
Let j(p) = -2*p**2 + 87*p - 378. Let c be j(30). What is the highest common factor of 32 and c?
16
Suppose 2*d - 298 = -5*p, -3*d - p + 438 = 2*p. Let r = 169 + 304. Let h = r + -455. Calculate the highest common factor of d and h.
18
Let k be 3976 + (-156 + -12)/(-21). Calculate the greatest common divisor of k and 240.
48
Suppose 5*a - 59 = -4*y, 2*y + 2*a + 0*a - 30 = 0. Suppose 3*k - y = k. Let h be 143/1573 - ((-30)/33 - 3). What is the greatest common factor of h and k?
4
Let g = 209 - 5. Let r = g + -193. What is the highest common divisor of 121 and r?
11
Suppose -5*c + 177 + 78 = 0. Let b(d) = -81*d - 11. Let j be b(4). Let x = j - -352. What is the greatest common divisor of x and c?
17
Suppose 11*w + 33 = -110. Let x(j) = 2*j**3 + 28*j**2 + 19*j + 43. Let s be x(w). What is the greatest common divisor of s and 335?
67
Suppose 92 + 34 = -3*p. Let k be -2 - -190 - p/6. What is the highest common divisor of 15 and k?
15
Suppose -42*a = 45 - 213. Let i = 510 - 346. What is the highest common factor of a and i?
4
Let v be ((-172)/(-6))/((-2)/15). Suppose 0*y = 4*w - 4*y + 160, -3*y + 208 = -5*w. Let r = w - v. Calculate the highest common divisor of r and 19.
19
Let t = 9065 + -8925. Calculate the highest common factor of 108 and t.
4
Let i = -42 - -57. Suppose 0*p + i = 3*p. Suppose a - 5*y = 73, a = 6*a - p*y - 305. Calculate the greatest common factor of 29 and a.
29
Let x(b) = -b**3 + 14*b**2 - 4*b + 1. Let v = 414 - 403. Let o be x(v). Calculate the greatest common divisor of 192 and o.
64
Let l be 2/(-7) - (2738360/119)/(-40). What is the highest common factor of l and 46?
23
Suppose 3 = -l + 187*b - 184*b, -2*b = -8. What is the greatest common divisor of l and 72?
9
Let y(f) = -219*f**3 + 3*f**2 - 2. Let c(t) = t**2 + t - 6. Let d be c(8). Let w = -67 + d. Let i be y(w). What is the highest common factor of 44 and i?
44
Suppose 18*k - 2034 = 1332. Calculate the highest common divisor of 119 and k.
17
Suppose -193 - 437 = -5*i. Let k = -44 + 43. Let v be (-216)/(-6) - k*6. What is the highest common factor of v and i?
42
Let c = 185 - 145. Suppose 0 = -c*f + 10*f + 150. What is the highest common divisor of f and 125?
5
Suppose -m + x = -67 - 109, -832 = -5*m - 3*x. What is the greatest common factor of m and 320?
10
Let f(v) = -397*v - 2366. Let t be f(-6). What is the greatest common divisor of 9712 and t?
16
Suppose -59*g - 269 = -1862. What is the greatest common divisor of 5625 and g?
9
Let v = -5778 + 8894. What is the highest common divisor of 164 and v?
164
Let i be (0 - -1)*(-204)/(-34). Let z be 11 + (-1 - -1) + -2. Let n be 30 + i/z*-6. Calculate the greatest common factor of 39 and n.
13
Let w = 0 - -19. Suppose -14*a + 233 = -33. What is the greatest common factor of w and a?
19
Let u(n) = n**2 + 12*n + 5. Let w be u(0). Suppose -15 = w*f, 28*f + 47 = 2*d + 29*f. What is the greatest common divisor of d and 25?
25
Suppose -7*u - 3*v = -20568, -469 - 11270 = -4*u + 3*v. Calculate the highest common factor of u and 33.
33
Suppose -z + 8 = -25*m + 28*m, -2*m = 3*z - 17. What is the greatest common factor of m and 308?
1
Let z be -6 + (-138)/(-230) + 17814/10. Calculate the greatest common factor of 48 and z.
48
Suppose -k + 2*k - 2*w = 130, -4*k + 500 = 2*w. Let b be 168/k + 311/3. What is the highest common divisor of b and 84?
21
Let c = 8999 - 8854. Calculate the greatest common divisor of c and 10585.
145
Let m(u) = 11*u**2 + 9. Let h be m(3). Suppose -789 = -4*f - 773. What is the greatest common divisor of f and h?
4
Let c be (7755/99)/((-1)/(3 + -78)). Calculate the greatest common factor of 5 and c.
5
Let f(k) = -2*k**2 - 139*k + 520. Let c be f(-67). Calculate the greatest common divisor of 360 and c.
45
Let m be (-2 - 2/(-5))*90/(-12). Let z = 241 - -71. What is the highest common factor of z and m?
12
Suppose 8*p - 4*p = -156. Let z = p - -36. Let q be z*(-3 - -2) - -19. What is the greatest common divisor of 33 and q?
11
Let v(a) = 99*a**2 - 1. Let k be v(1). Suppose -30 = -2*b - 2*t, 3*t = 2*b - t - 24. What is the highest common divisor of k and b?
14
Suppose 0*j = -3*p - 5*j + 105, 0 = -4*p - 5*j + 135. Suppose -2*y + 3*d + 129 = 0, 518 = 7*y - 5*d + 4*d. Calculate the greatest common factor of p and y.
15
Suppose 264 - 1145 = -219*k + 1090. Suppose 78 = -m + 5*a + 504, 5*a + 2190 = 5*m. What is the highest common divisor of k and m?
9
Suppose 24*w + 5*w - 1003 - 128 = 0. What is the highest common divisor of 12051 and w?
39
Let k = 6746 + -2214. What is the highest common factor of 44 and k?
44
Let v(c) = c**3 + 16*c**2 - c - 10. Let b be 9/(-15)*(11 - 6). Let d be ((-4)/b)/(5/(-60)*1). Let k be v(d). What is the highest common factor of k and 96?
6
Let b(h) be the first derivative of 4*h**2 - 13 + 12*h + 0*h**2 - 8*h. Let q be b(2). Calculate the highest common divisor of 8 and q.
4
Suppose -f = -1, 4*u = 4*f + 917 + 1063. Suppose m = 5*m - 2*t - 638, 3*m - u = -2*t. Suppose -m = -3*z - 3*z. Calculate the greatest common divisor of z and 3.
3
Suppose -o + 30 = -4*f, 4*o - 392 = 3*f - 168. Calculate the highest common factor of o and 6634.
62
Let y(g) = -29*g + 2176. Let h be y(72). What is the highest common divisor of h and 2200?
88
Let z be -6 + (-48)/(-40)*1765/3. Calculate the highest common divisor of z and 300.
100
Let q = 785 - 234. Suppose -3*c = -3*z - 105, -c = 18*z + 106 + 163. Calculate the greatest common divisor of c and q.
19
Let b(j) = 4928*j + 2772. Let f be b(2). What is the greatest com
|
{
"pile_set_name": "DM Mathematics"
}
|
68
Let b(f) be the third derivative of 3*f**4/8 - 28*f**3/3 - 198*f**2. Let q(o) = 5*o**2 + o. Calculate the remainder when b(11) is divided by q(2).
21
Let b be (-110)/495 + (-454)/(-18). Suppose -21*u = -b*u + 52. Calculate the remainder when 39 is divided by u.
0
Suppose 34*a - 37410 = -3410. Calculate the remainder when a is divided by 84.
76
Calculate the remainder when 2 - ((-594)/8)/((-18)/(-96)) is divided by 25.
23
Suppose -2*v - 4*y - 32 = 0, y = 5*v + 4 + 32. Let s(c) = -c**3 - 8*c**2 - 2*c - 11. Calculate the remainder when 13 + (8 + -7)*-1 is divided by s(v).
2
Let r(l) = -l**3 + 6*l**2 + 8*l - 3. Let q be r(6). Let y = q + -20. Suppose 152 = u + 147. What is the remainder when y is divided by u?
0
Let t = 4749 - 4730. What is the remainder when 135 is divided by t?
2
Suppose -8 = -2*m, z - 3*m - 16 = 20. Suppose f = 3*f - z. Calculate the remainder when 85 is divided by f.
13
Suppose 166 = 3*p + 5*z, 3*p - 3*z = -2*p + 322. Suppose 5*l + l - 738 = 0. Calculate the remainder when l is divided by p.
61
Let j(q) = -q**2 + 4*q - 2. Let g(p) = -5*p. Let n(o) = -5*g(o) - 4*j(o). Suppose 0 = 3*u - u + 8. Calculate the remainder when n(u) is divided by 13.
10
Let s = 36 + 29. Let n = 142995 - 142801. Calculate the remainder when n is divided by s.
64
Let f be (-189)/(-42)*16580/45. Let m = -1611 + f. Suppose -s = -v - 27, -s = 3*s - 3*v - 106. Calculate the remainder when m is divided by s.
22
Suppose -5*o = 3*b - 3*o - 71, 0 = -4*b - 2*o + 94. Suppose -d = -b + 3. What is the remainder when 37 is divided by d + -4 + 6 + -3?
18
Let d = 393 + -350. Let l(v) = -6*v + 77. What is the remainder when l(-8) is divided by d?
39
Suppose 2*w = -f + 269, 4*f + 230*w = 232*w + 1036. What is the remainder when 2865 is divided by f?
255
Let s be -18*((-18)/4 - -4). Suppose 0 = -s*m + 67 + 32. What is the remainder when 32 is divided by m?
10
Suppose 161*b - 624 = 109*b. What is the remainder when 139 is divided by b?
7
Let t = 60 + -13. Suppose 13 = 5*w - 3*c, 5*c + 20 = w + 13. Suppose -w*i = 3*z - 61, -10 = -5*i + 3*i. Calculate the remainder when t is divided by z.
13
Suppose 2*r = 3*h - 18 + 2, -h + 4 = -r. Let d(i) be the first derivative of -i**2 + 43*i - 2. Calculate the remainder when 53 is divided by d(h).
26
Suppose -127210*u = -127233*u + 17526. What is the remainder when 2296 is divided by u?
10
Suppose -33*r + 68*r - 84 = 32*r. What is the remainder when 318 is divided by r?
10
Suppose -5*l + 80 - 915 = 0. Let d = -147 - l. What is the remainder when d is divided by 3?
2
Calculate the remainder when 14/12 - 2 - 91910/(-780) is divided by 28.
5
Let j(m) = m**3 + 29*m**2 - 29*m + 29. Let k be j(-30). What is the remainder when k/(-2)*2*296/4 is divided by 25?
24
Let x(f) = -2*f**3 + 3*f**2 + 39*f + 12. What is the remainder when 2138 is divided by x(5)?
26
Suppose -g - 435 = -16*g. Calculate the remainder when 185 is divided by (2 - 0) + g - (5 - 5).
30
Suppose -2*a = 6, -3*k + 3 = k - 5*a. Let w(m) = -1. Let s(z) = 2*z**2 - 14*z - 2. Let d(p) = k*w(p) - s(p). What is the remainder when 23 is divided by d(7)?
3
Let y(l) = -6 + 34*l - 14*l - 8*l - 5*l - 6*l. Calculate the remainder when y(9) is divided by 2.
1
Calculate the remainder when 871 is divided by -6 - 132/(-24) - 25*2/(-4).
7
Let f = -1398 + 1401. Let r be 6/2 + 0/1. Suppose f*z + r*z - 288 = 0. Calculate the remainder when z is divided by 26.
22
Let r(d) = -2*d**2 + 9*d + 4. Let x = 18 + -15. Suppose -392 = -5*a + x*c, 5*c - 6 = -1. What is the remainder when a is divided by r(4)?
7
Suppose -5*w + 1207 = 1197, -3*w + 139 = a. What is the remainder when 397 is divided by a?
131
Let n(c) = -c**2 - 4*c + 13. Calculate the remainder when 2511 is divided by n(-3).
15
Suppose -1299*c + 1296*c - q + 168 = 0, -4*q + 24 = 0. What is the remainder when c is divided by 13?
2
Let j be 12/21*(-14)/(-4). Suppose -g + 10 = -6*u + j*u, -11 = -2*g + 5*u. Calculate the remainder when 124 is divided by ((-6)/(-4) + g)*-64.
28
Suppose 873*c - 865*c = -28 + 420. What is the remainder when 1905 is divided by c?
43
Let d be (29 + -31)/((6/(-1407))/2). Suppose 45*b - d = 10627. Calculate the remainder when b is divided by 65.
62
Let q be 3/(-6)*6 + -152 + 2. Suppose 0 = 6*y - 8*y - 2. Calculate the remainder when 0 - (q - (2 - (y + 3))) is divided by 26.
23
Let j be ((-11)/(44/12))/(-1). Suppose 2*v + j*s = 827, -5*v = -7*v + 4*s + 848. What is the remainder when v is divided by 14?
12
Suppose 228*p - 5544 = 97*p - 265*p. Suppose 27 = -x + 68. Calculate the remainder when x is divided by p.
13
Let o = 11 - -1. Let y be 13/(-4) - 2/(-8) - -224. Let s = -153 + y. What is the remainder when s is divided by o?
8
Let c(t) = t**3 + 15*t**2 + 40*t - 16. Let i be c(-4). Suppose -3*y + 10 = 2*y. Suppose i = y*u - 3*u + 7. What is the remainder when u is divided by 2?
1
Let i be 54054/48 + (-2)/16. Suppose 0 = 4*n - 1186 + i. What is the remainder when 193 is divided by n?
13
Let c(w) = -3*w**3 + 143*w**2 + 56*w - 50. What is the remainder when 1008 is divided by c(48)?
6
Let o(b) = 13*b**2 + 13*b + 11. Let t be o(-2). Suppose -4*y + 33 = t, -2*c + 3*y + 107 = 0. What is the remainder when c is divided by (-43)/(-4) - (-1)/4?
8
Suppose 986 + 1694 = -8*p. Let v = -312 - p. Calculate the remainder when 110 is divided by v.
18
Let s(j) = -7*j**3 + 10*j**2 - 23*j - 292. Calculate the remainder when s(-10) is divided by 4.
2
Let b be (-6)/4*5/(20/(-24)). Suppose -b = -3*l, 8 - 71 = -4*v - 5*l. Suppose 92 = v*m - 8*m. Calculate the remainder when m is divided by 8.
7
Calculate the remainder when ((-3294)/126 - 11)/((-2)/42) is divided by 49.
45
Suppose 323 = 3*r - 1. Suppose 5*b - r = -b. What is the remainder when 189 is divided by b?
9
Let s be -2*4/24*-3. Suppose -4*o + 28 = 2*f, 4*o - s - 19 = 0. Let r(c) = c**3 - c**2 - 7*c + 6. Calculate the remainder when r(f) is divided by 9.
8
Let r(w) = -w**3 + 46. Suppose 0 = -i - 3*q + 98, 52*i - 344 = 48*i + 4*q. Calculate the remainder when i is divided by r(0).
43
Suppose -5*a = -4*t + 707, t + 4131 = 3*a + 4306. What is the remainder when t is divided by 1*18*(-1 - -2)?
16
Let l = 3378 - 3358. Calculate the remainder when 39 is divided by l.
19
Let a(t) = 2*t + 1 + 8 - 4 + 1 - 4*t**2 + t**3. Let l be a(3). Suppose -68 = -l*z + 145. What is the remainder when z is divided by 12?
11
Let l be (-160)/(-15) + 2/(-3). Let d(b) = -b**2 + 11*b + 7. Calculate the remainder when 3*(-5 - (-194)/6) is divided by d(l).
14
Suppose y + 3*g + 224 = 0, -2*g - 7 = -1. Let t = y + 261. Calculate the remainder when t is divided by 14.
4
Let n be ((-3 - -3)/2)/(0 + 2). Suppose -r + n*r = -k - 51, -3*k = 5*r - 239. Calculate the remainder when 94 is divided by r.
45
Let n be (-17 + (1 - 5))/(-1). Let y(d) = d**3 - 20*d**2 - 10*d + 6. Let v be y(n). Let o = v + -120. What is the remainder when o is divided by 24?
21
Let d = 297 + -290. What is the remainder when 231 is divided by (819/4)/d - 2/8?
28
Let x(z) = z**3 + z**2 + z + 4. Let s be x(0). Suppose 0 = s*b - 2*b - 64. Calculate the remainder when b is divided by (12 + -3 + (1 - 29))/(-1).
13
Let m(h) = 19*h**2 - 81*h - 255. Calculate the remainder when m(-4) is divided by 64.
53
Suppose 0 = -0*w - w - 4*f + 177, -359 = -2*w - 3*f. Suppose -4*m + w = 5*i, -i - 6 + 7 = 0. Let a = 8 - -17. What is the remainder when m is divided by a?
19
Suppose 51*z - 344 = 47*z. Let r(h) = 11*h + 347. What is the remainder when z is divided by r(-30)?
1
Let y(a) = 119*a - 2086. What is the remainder when 1171 is divided by y(18)?
51
Let u(q) = q + 21. Let r(g) = -3*g - 63. Let y(o) = 6*r(o) + 17*u(o). Let t be y(-7). Let z = t + 54. What is the remainder when 159 is divided by z?
39
Suppose 0 = 2*k - 5*p - 738, p = 25*k - 16*k - 3278. Calculate the remainder when 2912 is divided by k.
0
Suppose -16*b + 15*b + v = -22, 3*b - 86 = -2*v. Calculate the remainder when 285 is divided by b.
25
Let y(z) = 51*z - 290. Let n be y(7). Suppose 3*c - 2*c + 52 = 0. Let q = n + c. What is the remainder when 44 is divided by q?
14
Let n be (-4)/28*-7 + 2. Suppose 18 = n*w - 3*j - 6, 1 = j. Calculate the remainder when 134 is divided by w.
8
Let r(g) be the first derivative of -2*g**2 - 65*g - 88. Calculate the remainder when r(-32) is divided by 3.
0
Let f be 7893/3
|
{
"pile_set_name": "DM Mathematics"
}
|
noooo. What is prob of picking 3 o?
1/12
What is prob of picking 3 w when three letters picked without replacement from {w: 5}?
1
Four letters picked without replacement from {a: 3, t: 3, u: 1, i: 1, r: 5, p: 1}. Give prob of picking 2 t, 1 i, and 1 p.
3/1001
Two letters picked without replacement from aaaowowaw. What is prob of picking 1 o and 1 w?
1/6
Four letters picked without replacement from aqaqaaaaqaqq. What is prob of picking 1 a and 3 q?
14/99
What is prob of picking 1 m, 1 p, and 1 j when three letters picked without replacement from xmjmjpxjmjjxxpx?
6/91
Calculate prob of picking 3 x when three letters picked without replacement from xezxxnnyzxxynfxnxxen.
14/285
Three letters picked without replacement from {r: 6, f: 6, a: 3}. Give prob of picking 1 a and 2 r.
9/91
What is prob of picking 3 i when three letters picked without replacement from iiwiwwwwiwwwiw?
5/182
What is prob of picking 1 q and 2 s when three letters picked without replacement from eegqsgseheegshq?
6/455
Two letters picked without replacement from aaayyvllylz. What is prob of picking 1 y and 1 l?
9/55
Two letters picked without replacement from {z: 1, r: 4, q: 2, d: 3}. What is prob of picking 1 d and 1 q?
2/15
What is prob of picking 1 q, 1 u, and 1 r when three letters picked without replacement from {e: 2, t: 6, q: 1, u: 4, r: 2}?
8/455
Three letters picked without replacement from iiipiipppiiiii. Give prob of picking 3 i.
30/91
What is prob of picking 2 u, 1 l, and 1 j when four letters picked without replacement from ujjmmumummjmlujujj?
1/51
What is prob of picking 1 e and 1 l when two letters picked without replacement from ele?
2/3
What is prob of picking 1 i, 1 o, 1 c, and 1 a when four letters picked without replacement from {c: 1, a: 1, o: 1, f: 4, i: 1}?
1/70
What is prob of picking 1 a and 1 f when two letters picked without replacement from {a: 3, f: 12}?
12/35
Calculate prob of picking 1 u, 1 i, and 1 c when three letters picked without replacement from tjcricu.
2/35
What is prob of picking 1 o and 1 z when two letters picked without replacement from zzzooozgz?
5/12
Calculate prob of picking 2 f when two letters picked without replacement from {f: 4, u: 2}.
2/5
Calculate prob of picking 1 m and 1 p when two letters picked without replacement from {z: 1, m: 7, p: 6}.
6/13
Calculate prob of picking 1 x, 1 t, and 1 e when three letters picked without replacement from {e: 1, v: 1, x: 2, t: 1}.
1/5
What is prob of picking 1 x, 1 m, and 1 b when three letters picked without replacement from bmmbbmnxnmmmmxmx?
9/70
Calculate prob of picking 2 p when two letters picked without replacement from {s: 2, p: 2}.
1/6
Four letters picked without replacement from {b: 3, t: 2, g: 1, n: 1, z: 8, w: 5}. Give prob of picking 1 b, 1 t, and 2 g.
0
What is prob of picking 2 r, 1 x, and 1 f when four letters picked without replacement from {j: 2, x: 1, v: 1, f: 2, r: 2}?
1/35
Calculate prob of picking 1 q and 1 x when two letters picked without replacement from {k: 1, q: 2, x: 2}.
2/5
Three letters picked without replacement from eemebmemyeyybem. Give prob of picking 1 b, 1 y, and 1 e.
36/455
Calculate prob of picking 1 j and 1 b when two letters picked without replacement from tdybjto.
1/21
Four letters picked without replacement from nnnyqqyvyyn. Give prob of picking 1 y, 2 n, and 1 v.
4/55
Two letters picked without replacement from uuueeeeueueuue. Give prob of picking 1 e and 1 u.
7/13
Three letters picked without replacement from {w: 3, o: 15}. Give prob of picking 2 o and 1 w.
105/272
Calculate prob of picking 2 d and 2 p when four letters picked without replacement from ppppppppppppppddpppp.
3/95
Calculate prob of picking 1 b and 1 o when two letters picked without replacement from ycombymmyyy.
1/55
Calculate prob of picking 1 i and 1 j when two letters picked without replacement from oioooidoiiiiiooidji.
1/19
Calculate prob of picking 3 f when three letters picked without replacement from gggfgfgggggfff.
5/182
Calculate prob of picking 1 j and 1 m when two letters picked without replacement from {o: 2, j: 4, m: 2}.
2/7
Three letters picked without replacement from cpclccpllplclplkllp. What is prob of picking 1 k and 2 l?
28/969
Calculate prob of picking 2 g and 1 u when three letters picked without replacement from {g: 3, u: 3}.
9/20
Two letters picked without replacement from {v: 2, z: 1, d: 2, y: 1, o: 1, m: 1}. Give prob of picking 1 y and 1 o.
1/28
Two letters picked without replacement from {w: 3, y: 2, h: 2, i: 2}. What is prob of picking 1 i and 1 y?
1/9
Two letters picked without replacement from qddnqm. Give prob of picking 1 d and 1 q.
4/15
Two letters picked without replacement from {p: 1, j: 2, z: 4}. What is prob of picking 2 z?
2/7
Two letters picked without replacement from {i: 1, g: 4, f: 3, s: 1, j: 6}. What is prob of picking 1 j and 1 f?
6/35
Four letters picked without replacement from dfddfddbdd. Give prob of picking 4 d.
1/6
Four letters picked without replacement from {v: 3, z: 1, n: 4, x: 3}. What is prob of picking 1 n and 3 v?
2/165
What is prob of picking 1 c and 1 f when two letters picked without replacement from cfcmmtcctfxe?
4/33
What is prob of picking 3 b when three letters picked without replacement from {b: 7, l: 4}?
7/33
Two letters picked without replacement from {w: 5, p: 6, z: 2, v: 3, b: 1, l: 2}. Give prob of picking 2 w.
10/171
Four letters picked without replacement from xiixxx. Give prob of picking 4 x.
1/15
Three letters picked without replacement from {f: 4, s: 3, l: 13}. What is prob of picking 2 s and 1 f?
1/95
Calculate prob of picking 2 i when two letters picked without replacement from {i: 2, n: 2}.
1/6
Calculate prob of picking 1 x and 3 n when four letters picked without replacement from {x: 5, v: 2, n: 3, q: 3}.
1/143
Three letters picked without replacement from {b: 19, m: 1}. What is prob of picking 3 b?
17/20
Four letters picked without replacement from ooglnooooong. Give prob of picking 2 g, 1 o, and 1 l.
7/495
What is prob of picking 2 t when two letters picked without replacement from {t: 5, m: 2}?
10/21
Calculate prob of picking 2 o and 1 g when three letters picked without replacement from ooxnvvooxogonoogx.
7/85
Calculate prob of picking 1 m, 1 j, and 1 x when three letters picked without replacement from {j: 7, d: 1, x: 3, v: 1, m: 1}.
21/286
Three letters picked without replacement from bswbiwiibiiib. What is prob of picking 1 w, 1 b, and 1 i?
24/143
Two letters picked without replacement from {d: 3, f: 1, i: 11}. What is prob of picking 1 d and 1 i?
11/35
Two letters picked without replacement from {p: 4, w: 3, c: 11}. Give prob of picking 1 p and 1 c.
44/153
Four letters picked without replacement from dcccdamccmaaaccsaamm. Give prob of picking 1 a and 3 m.
8/1615
Calculate prob of picking 2 a and 2 t when four letters picked without replacement from {t: 7, a: 2, z: 2}.
7/110
Four letters picked without replacement from iiiybiieyibibybbiy. Give prob of picking 3 y and 1 e.
1/765
Two letters picked without replacement from {k: 1, p: 3}. Give prob of picking 1 k and 1 p.
1/2
Two letters picked without replacement from {s: 4, p: 4, y: 3}. What is prob of picking 1 y and 1 p?
12/55
Three letters picked without replacement from kkhkhkq. Give prob of picking 1 k and 2 h.
4/35
Four letters picked without replacement from {z: 2, k: 7, h: 3, o: 1, f: 5}. Give prob of picking 2 z and 2 k.
7/1020
What is prob of picking 2 q and 1 c when three letters picked without replacement from yqssoyssqqc?
1/55
Two letters picked without replacement from {r: 4, d: 4, h: 9}. Give prob of picking 2 r.
3/68
What is prob of picking 2 r and 1 d when three letters picked without replacement from rrdruuruurlrluutr?
21/680
Four letters picked without replacement from eheuehhhuehhcu. Give prob of picking 2 c and 2 u.
0
What is prob of picking 1 m, 1 n, 1 c, and 1 z when four letters picked without replacement from mmnanfmmamffncnmfmz?
7/969
Calculate prob of picking 1 n, 2 x, and 1 k when four letters picked without replacement from {x: 2, i: 1, k: 1, n: 1}.
1/5
Two letters picked without replacement from zdxynzxb. What is prob of picking 1 y and 1 d?
1/28
Three letters picked without replacement from {x: 5, l: 1, c: 8, s: 2}.
|
{
"pile_set_name": "DM Mathematics"
}
|
26. Solve -5*f + 3 = h for f.
0
Let i(g) = g**2 - 2*g - 13. Let t be i(-3). Let y(c) = -9*c**3 - 4*c**t + 10*c**3 + 0*c**3 - 8 + 4*c. Let w be y(4). Solve -v + w = v for v.
4
Let q(z) = 2*z + 2. Let m be q(2). Let y = 323 + -323. Solve y = -m*r + 3*r for r.
0
Let v be 9394/121 - (0 - (2 + 72/(-44))). Solve 47*j = v*j + 31 for j.
-1
Suppose 5*l = 3*o - 397, 405 = 4*l - 9*l - 5*o. Let c be 4/(l/(-15)) + (-6)/8. Solve 0 = -c*n + 3*n - 6 for n.
2
Suppose 5*j = -3*s + 929, 22*j - 21*j = -4*s + 1216. Solve s*t - 15 = 306*t for t.
-5
Let u(j) = -j**3 + 8*j**2 - 2*j - 32. Let y be u(7). Solve y*d + 11 = 26 for d.
5
Let d be (0 + (-23)/1)/(13/117). Let k = d + 213. Solve k*u - 17 = -5 for u.
2
Let b(w) = -102*w + 1736. Let v be b(15). Solve -19*x + 339 = v for x.
7
Suppose 0*h = h - b - 10, 2*h - 32 = -4*b. Let l be 19 - 6 - (-2 + -1). Let f = l - h. Solve f*v + 1 = -15 for v.
-4
Let y = -143 + 152. Suppose n + y = 9. Solve m + m = n for m.
0
Suppose -538*y = -755 - 859. Let l = 5 - 0. Suppose -5*w - 23 = 2*s, -l*w + 11 = 5*s + 31. Solve y*n - s = -7 for n.
-2
Let g be (3 - 0)/(12/52). Let c be (2/5)/(g/(-130)) - -6. Solve -4*p = c*p - 4*p for p.
0
Let f(u) = -168*u - 1623. Let q be f(-10). Solve 159 = q*b - 4*b for b.
3
Let q(h) = 86*h + 1645. Let g be q(-19). Solve 8 + 3 = g*u for u.
1
Let z = 1228 - 1224. Solve z = 11*h + 15 for h.
-1
Let k be (6 + -10)/(-3 + (-1)/(-1)). Let v(i) = 11*i + 18. Let a be v(k). Suppose 0 = 8*w - 4*w - a. Solve 5*t + 0 = -w for t.
-2
Let m be -1*-1*(2 - -1). Suppose -4*l = m*l. Let c = 281 + -279. Solve l = -0*k - c*k - 8 for k.
-4
Let u = 3402 - 3287. Solve 7*q = 73 - u for q.
-6
Suppose 2*b - 232*x + 237*x = 14, -3*x = b - 7. Solve -260 + 239 = b*g for g.
-3
Suppose 0 = -2*f - p + 204, 2*p = -30*f + 29*f + 93. Solve -10*q - f = 25*q for q.
-3
Let n = 14 + -20. Let s(b) = b + 1. Let t be s(n). Let h be 8 + t + (-7 - -4). Solve h = -5*x + 2*x for x.
0
Let t = -15318 + 15537. Solve 339 = 15*p + t for p.
8
Let y be 42*((-25)/3 + (85 - 74)). Solve 10*m = -y + 92 for m.
-2
Suppose -4*f - 23 = v - 42, 0 = v + 2*f - 27. Suppose -38*h + n = -35*h - v, -3*n - 45 = -3*h. Solve -h*l + 15 = -15*l for l.
-3
Let l(a) = a**2 + 3*a - 8. Let m be l(-7). Suppose o - k + m = -3*k, k = o + 8. Let w be -6*4/o*2. Solve w*z = -17 + 5 for z.
-3
Let g(j) = -j**3 + 8*j**2 - 2*j + 7. Let i be g(5). Let a = 76 - i. Suppose a = -f + 5. Solve 2*n - f = -3 for n.
-1
Let i be (-3 - -1) + -5*(-6)/(-30). Let n be 1 + 32 + (-4 - -3)*i. Suppose 0 = 16*b - 7*b - n. Solve -2 + 6 = -b*l for l.
-1
Let g(v) = -13*v**2 - 120*v - 30. Let z be g(-13). Let p = z + 676. Solve 7*i + p = 23 for i.
2
Suppose -235*w + 51975 = -10*w. Solve w = -10*c + 271 for c.
4
Suppose -y = -266 - 54. Suppose 8*m + 0*m + y = 0. Let r = m + 43. Solve r = -4*d + d for d.
-1
Let c be (462/10 - 47)/((-2)/(-630)*-1). Solve c = 51*p - 79*p for p.
-9
Let r = 6448 + -6411. Solve r = -3*f + 40 for f.
1
Let w be (0 - 25) + 4 - -776. Solve 0 = 749*a - w*a + 12 for a.
2
Suppose -1159 = -5563*r + 5544*r. Solve -r*k + 66*k = 20 for k.
4
Let q = 0 - -1. Suppose 44*v - 39*v + 5*a - 35 = 0, 0 = -2*a - 10. Suppose 6 = -3*d, -5*r + r + v = 2*d. Solve i + q = -r for i.
-5
Let a be 3/(3/5) + 5/(-1). Let p(s) = -1 - s + 7 + 0 - 2. Let d be p(2). Solve a = d*k - 0 + 6 for k.
-3
Let b(h) = -h - 84. Let r be b(0). Let x = 88 + r. Solve 6*v - 2*v + x = 0 for v.
-1
Suppose -5*s = -3*v - 125, 5*s - 160 = -4*v - 0*v. Solve -39*z + 55 = -s*z for z.
5
Suppose 5*j = j - 2*a + 482, 5*a - 610 = -5*j. Suppose 14*l - j - 189 = 0. Solve 0 = -l*b + 23*b for b.
0
Let p be (-1140)/(-42) - 2/(16 - 2). Solve p*j + 57 = 3 for j.
-2
Let v(c) = -c**2 - 86*c + 20. Let z(s) = -s**2 - 43*s + 10. Let g(d) = 4*v(d) - 9*z(d). Let p be g(-9). Solve -13 = -t - p for t.
5
Let l be -54*(1 - 54/12). Solve -192*m + 12 = -l*m for m.
4
Let y be 4 - (5 - 4) - 76. Let w = 76 + y. Suppose -5*z - 16 = w*x, 3*z + 34 - 4 = 5*x. Solve -x = -2*n + 5 for n.
4
Let h(k) = 3*k**2 + 13*k - 3. Let t be h(-10). Suppose -4*z = 2*d - 5*d + t, -5*d - 2*z = -287. Solve -21 = -12*p - d for p.
-3
Let l be -1*1*1*-23. Let p be (-8 - (0 - 3))/((-2445)/5868). Solve 0 = -19*j + l*j - p for j.
3
Let q = 17027 + -16949. Solve -23 = q*t + 55 for t.
-1
Suppose 0 = -5*k - n + 175, 0*k - 5*n = 2*k - 93. Suppose -28*q + 682 = -6*q. Let t = k - q. Solve 12 = m + t*m for m.
3
Suppose 3*z - 3 = 5*j + 10, 11 = z + 5*j. Suppose -5*u - 235 = -4*k, -k = -2*u - 36 - 22. Suppose 5*d - 70 + k = 0. Solve -d = -4*f - z for f.
-1
Let w = -2 - -7. Let x = 3 - 1. Suppose 3*k - 3*s = 27, -55*k + 4*s + 9 = -60*k. Solve w*f - x*f = -k for f.
-1
Suppose 2*o = 8*o - 3*o. Suppose o = 5*p + 10 - 25. Solve -4 = p*f - 5*f for f.
2
Suppose 2*d = 4*d - 4. Let j be 16/10*5/2. Suppose o - d*o = -j. Solve -o = 2*h - 0*h for h.
-2
Suppose -312 = -245*m + 219*m. Solve m*u + 53 = 17 for u.
-3
Suppose 4*w - 648 = -2*h, 2*w - 316 = -0*w + h. Solve -12*k - 20*k - w = 0 for k.
-5
Suppose 3*t = 686*y - 691*y + 393, -5*y = -4*t - 386. Solve 397*a - 384*a = -y for a.
-6
Let k be ((-6)/(-9) + 3681/27)*1. Suppose -7*c + 158 - k = 0. Solve 4 + 5 = -c*y for y.
-3
Suppose -7*o = -3*o + 1360. Let b = -334 - o. Solve 5*v + v - b = 0 for v.
1
Let u(v) = v + 3. Let n be u(1). Suppose n = -x - 1. Let i(p) = -4*p - 19. Let k be i(x). Solve -5*c - 4 - k = 0 for c.
-1
Suppose -958*k + 470*k = -464*k - 240. Solve -41 - 9 = k*g for g.
-5
Suppose -g + 0*g = 2*d - 19, 5*g - 25 = 4*d. Suppose -2*y - 2 = -4*u + 5*u, -5*y = -u - g. Suppose -5 = -3*z + y. Solve -z*h + 3*h = -5 for h.
-5
Let k = -755 + 353. Let q = -399 - k. Solve 0 = 2*g - g - q for g.
3
Let b be 2/(-3)*(-18)/4. Let n(v) = -v**3 + 10*v**2 - 15*v - 3. Let f be n(8). Suppose -f*m = m + m. Solve b*k + k - 12 = m for k.
3
Suppose 4*b + 431 = 3*x, 4*x + 2*b - 147 = 3*x. Suppose 0 = -3*f + x + 77. Let m = f + -66. Solve m*y - 12 = 4*y for y.
3
Let k = -371 + 371. Suppose 8*b - 29 - 19 = k. Solve -8*y + 10*y = b for y.
3
Let h = 41 + -41. Suppose -2*z - 4 = -14. Let w(x) = 2*x**2 - 12*x + 12. Let p be w(z). Solve -p*g + h = 8 for g.
-4
Let w be 110 + (3 - (4 - 4)). Suppose 6*f - w = -29. Suppose -5*u + 5 = -3*c - 9, -c + f = 3*u. Solve 5*m - u = 16 for m.
4
Let c(o) = -47*o + 191. Let r be c(4). Solve 13*f + 23 = -r for f.
-2
Let p = -152 - -154. Suppose -2*h - 2*b = -12, 2*b + 18 = p*h - 2*b. Solve -h*j = 16 + 5 for j.
-3
Let p = 280 - 159. Let n(z) = -120*z + 20 + 6 + p*z. Let t be n(-17). Solve 4 = -m + t for m.
5
Let r(o) = o**2 + 4*o + 3. Let j be r(-4). Suppose 2*b - p - j = 3, 2*p - 12 = -4*b. Suppose -b*f - f = -2*f. Solve f = 3*i - 7*i + 4 for i.
1
Let u(p) = p**2 - 5*p. Let t(i) = -4*i**2 + 19*i. Let g(a) = -6*t(a) - 22*u(a). Let h be g(2). Let s be 0/(-1) + (-2 - (-2 - h)). Solve s = 3*v - 5*v + 4 for v.
2
Let t(b) = b**3 - 7*b**2 - 10*b + 7. Let j be t(8). Let x(a) = a**3 + 10*a**2 + 3*a - 9. Let d be x(j). Let o = d - 33. Solve 0*w - o = 4*w for w.
-3
Let s(d) = 75*d + 5100. Let y be s(-67). Solve -y*g + 63*g = 12 for g.
-1
Suppose -4*x + 0*i - i + 261 = 0, -315 = -5*x - 5*i. Solve 14*n + 18 = -x for n.
-6
Suppose 7*x - 6*x = -82. Let j = x - -85. Let f(y) = y**2 - 5*y + 8. Let z be f(j). Solve 6 = -o - z*o for o.
-2
Let s be (-2 - 3)*(2592/(-60))/12. Solve -120 = 48*u - s*u for u.
-4
Let i = -66 + 158. Suppose 0*j - 4*j + i = 0. Suppose -2*m - g + j = 0, -4*m - m - g = -53. Solve 3*q = 5 + m for q.
5
Let a(y) = -y**3 - 17*y**2 + 2*y + 36. Let x be a(-17). Suppose 14 = -x*s - 4*q, 2*s = q + q + 10. Solve 0 = 3*w + 8 + s for w.
-3
Suppose 0 = 2*p + 9 + 1, 2*t + 1229 = -5*p. Let a = -573 - t. Solve -l + 32 = a for l.
3
Let q = -19 + 81. Suppose 2*o + y + y = q, -3*o + 77 = -y. Let r = 29 - o. Solve r*u - 3 = 5 for u.
4
Let g = 18 + -18. Suppose 3*o = o - 2. Let q(t) = -3*t**3. Let a be q(o). Solve g = a*v + v for v.
0
Let c(j) = j**2 + j - 7. Suppose 5*n = 4*n - 34. Let y = n - -37. Let k be c(y). Solve u + 0 = k for u.
5
Let i be 125/30*16/(-10)*(-2490)/664. Let u = 40 + -24. Solve 11*l - u*l + i = 0 for l.
5
Suppose 33*s + 29*s = -1522 + 3754. Solve -72*c + 35*c = -s*c for c.
0
Let m be (-4)/(-14) - (-36)/21. Suppose 2*w = 2*n - 4, -m = -w - 4*w - n. Solve w = 6*l + 4 + 8 for l.
-2
Suppose 0 = -3*s - 15, 3*p = 7*p + s + 2093. Let w = p - -549. Solve 29*h
|
{
"pile_set_name": "DM Mathematics"
}
|
)
Factor -4*v**3 - 8815*v**2 - 4855412*v + 1214404.
-(v + 1102)**2*(4*v - 1)
Factor -2*m**2/11 - 12554*m/11 - 337500/11.
-2*(m + 27)*(m + 6250)/11
Determine h so that -4161*h**2 - 29139*h - 84 = 0.
-7, -4/1387
Determine p so that -851*p**5/6 - 13*p**4/3 + 851*p**3 + 3482*p**2/3 + 2761*p/6 + 13 = 0.
-1, -26/851, 3
Solve 4*a**5/9 - 5440*a**4/9 + 1849600*a**3/9 = 0 for a.
0, 680
Find r such that r**5 + 1668*r**4/5 - 43043*r**3/5 + 45614*r**2 + 520572*r/5 - 242008/5 = 0.
-358, -2, 2/5, 13
Suppose -2*s**2 + 57342*s = 0. What is s?
0, 28671
Let -5*l**3 - 76528*l**2 - 45913*l + 30610 = 0. What is l?
-15305, -1, 2/5
Suppose 2*h**3/13 + 53418*h**2/13 + 213648*h/13 + 213640/13 = 0. What is h?
-26705, -2
Let -335*n**3/3 - 1589*n**2/3 - 2422*n/3 - 1168/3 = 0. What is n?
-2, -584/335, -1
Find y such that 306*y**5/5 - 3654*y**4 + 46718*y**3/5 + 27878*y**2/5 - 36048*y/5 + 1368/5 = 0.
-1, 2/51, 2/3, 3, 57
Find r, given that r**3/5 + 612*r**2 + 2118948*r/5 - 347290144/5 = 0.
-1598, 136
Suppose 3*o**2 + 76881*o + 153750 = 0. What is o?
-25625, -2
Suppose -4*q**5 - 188*q**4 - 1616*q**3 + 12368*q**2 - 10560*q = 0. Calculate q.
-30, -22, 0, 1, 4
Let 4*p**4 - 5460*p**3 + 102132*p**2 + 220660*p + 113064 = 0. Calculate p.
-1, 21, 1346
Factor g**3/2 + 9077*g**2/2 - 18157*g/2 + 9079/2.
(g - 1)**2*(g + 9079)/2
Let 6*f**5/7 - 1342*f**4/7 + 8758*f**3/7 - 16962*f**2/7 + 1116*f = 0. Calculate f.
0, 2/3, 3, 217
Factor p**2/2 - 48457*p/2 + 96906.
(p - 48453)*(p - 4)/2
Factor 12*x**4/5 + 226064*x**3/5 + 1064761436*x**2/5 + 709740488*x/5.
4*x*(x + 9419)**2*(3*x + 2)/5
Factor x**4/2 - 79*x**3/2 + 1035*x**2/2 + 22275*x/2.
x*(x - 45)**2*(x + 11)/2
Factor k**2/8 - 2089*k/8 + 15555/4.
(k - 2074)*(k - 15)/8
Factor 17*u**3/4 + 229*u**2 + 12285*u/4 - 729/2.
(u + 27)**2*(17*u - 2)/4
Factor 412*t**3/7 + 8320*t**2/7 + 42800*t/7 + 8000/7.
4*(t + 10)**2*(103*t + 20)/7
Determine w so that -w**3 + 6002*w**2 - 8999996*w - 18024008 = 0.
-2, 3002
Determine t, given that 3*t**5/4 - 10479*t**4/4 + 2299458*t**3 - 20546031*t**2 + 54663960*t - 36414768 = 0.
1, 4, 1742
Factor -4*m**3 + 18528*m**2 - 21343824*m - 258800832.
-4*(m - 2322)**2*(m + 12)
Suppose -3*r**3 + 2643*r**2 - 31344*r + 52140 = 0. What is r?
2, 10, 869
Find k such that 2*k**5 + 216*k**4 + 5830*k**3 - 216*k**2 - 5832*k = 0.
-54, -1, 0, 1
Determine x so that 5*x**4 + 2680*x**3 - 171325*x**2 + 2503500*x + 2677500 = 0.
-595, -1, 30
Determine f, given that f**4/3 - 1517*f**3/3 + 1511*f**2 + 13621*f/3 + 7570/3 = 0.
-1, 5, 1514
Suppose -o**3/6 + 1275*o**2 + 22963*o/6 - 5102 = 0. Calculate o.
-4, 1, 7653
Determine i, given that -17*i**5 - 545*i**4 + 7108*i**3 + 420*i**2 = 0.
-42, -1/17, 0, 10
Suppose -i**4/2 - 31*i**3 - 384*i**2 - 1505*i - 2303/2 = 0. Calculate i.
-47, -7, -1
Factor 2*f**3/3 - 1010*f**2/3 - 7168*f/3.
2*f*(f - 512)*(f + 7)/3
What is i in -5*i**5/3 - 347*i**4/3 + 6134*i**3 - 253964*i**2/3 + 1059688*i/3 + 155232 = 0?
-108, -2/5, 11, 14
Factor n**2/2 + 225*n/2 - 1175.
(n - 10)*(n + 235)/2
Solve 3*t**2/2 - 4204*t - 150414 = 0 for t.
-106/3, 2838
Solve -2*o**4/5 + 1414*o**3/5 - 236018*o**2/5 - 4957854*o/5 - 8960292/5 = 0 for o.
-17, -2, 363
Factor 5*u**3 - 133860*u**2 + 535380*u - 535360.
5*(u - 26768)*(u - 2)**2
What is r in -4*r**5 - 76*r**4 - 324*r**3 + 220*r**2 + 856*r - 672 = 0?
-12, -7, -2, 1
Let -2*w**3/5 + 252*w**2/5 + 3450*w - 3500 = 0. Calculate w.
-50, 1, 175
Solve p**3/3 - 109*p**2/3 + 300*p = 0.
0, 9, 100
Determine h, given that -5*h**2/2 + 91130*h - 830467690 = 0.
18226
Factor -2*t**3/3 + 1948*t**2/3 - 121920*t.
-2*t*(t - 720)*(t - 254)/3
Factor -5*n**2/3 + 2225*n/3 + 2230/3.
-5*(n - 446)*(n + 1)/3
Let 5*r**4 + 138510*r**3 + 958973945*r**2 - 3837558060*r + 3838112180 = 0. What is r?
-13853, 2
Factor -5*n**3 - 1865*n**2 + 19105*n - 17235.
-5*(n - 9)*(n - 1)*(n + 383)
Factor -4*b**3 - 3208*b**2 - 595940*b + 19289200.
-4*(b - 28)*(b + 415)**2
Suppose -2*q**3/3 + 75682*q**2/3 - 716008480*q/3 + 715932800/3 = 0. Calculate q.
1, 18920
Factor 3*o**3 + 1608*o**2 + 215472*o.
3*o*(o + 268)**2
Factor -u**4 - 498*u**3 - 2459*u**2 + 2958*u.
-u*(u - 1)*(u + 6)*(u + 493)
Let -c**5/7 + 187*c**4/7 - 1087*c**3/7 + 157*c**2/7 + 4328*c/7 + 2896/7 = 0. Calculate c.
-1, 4, 181
Solve 24*b**5 + 570*b**4 + 4065*b**3 + 8085*b**2 + 4416*b + 660 = 0 for b.
-11, -10, -2, -1/2, -1/4
Factor -m**3/2 - 42289*m**2/2 + 84584*m - 84586.
-(m - 2)**2*(m + 42293)/2
Solve 2*p**2/9 - 16642*p/9 - 33292/9 = 0 for p.
-2, 8323
Let -3*h**5 + 720*h**4 + 2187*h**3 + 12*h**2 - 2916*h = 0. Calculate h.
-2, 0, 1, 243
What is t in -t**2/4 - 91*t/2 - 1420 = 0?
-142, -40
Solve -33*h**2 + 44580*h + 44613 = 0.
-1, 14871/11
Let 3*m**5/5 + 12*m**4/5 - 2232*m**3/5 + 8598*m**2/5 - 399*m - 12834/5 = 0. Calculate m.
-31, -1, 2, 3, 23
Let t**4/6 - 13*t**3/6 - 10*t**2/3 + 14*t = 0. Calculate t.
-3, 0, 2, 14
Find r such that -98*r**5 - 1190*r**4 - 3154*r**3 + 7094*r**2 + 21684*r - 24336 = 0.
-39/7, -4, 1, 2
Factor -2*l**2/3 - 148*l/3 - 230.
-2*(l + 5)*(l + 69)/3
Find m, given that m**4 + 1436*m**3 + 11423*m**2 - 1436*m - 11424 = 0.
-1428, -8, -1, 1
Factor u**3/3 + 577*u**2 + 35864*u/3 - 26220.
(u - 2)*(u + 23)*(u + 1710)/3
What is a in -3*a**2 + 9333792*a - 7259972758272 = 0?
1555632
Find x, given that -154*x**4/5 + 278*x**3/5 + 32*x**2 - 40*x = 0.
-10/11, 0, 5/7, 2
Let 32*g**5 - 488*g**4 - 4242*g**3 - 21415*g**2/2 - 22175*g/2 - 4125 = 0. Calculate g.
-3, -5/4, 22
Determine y, given that -6*y**5/7 - 256*y**4/7 + 354*y**3/7 + 12*y**2 - 176*y/7 = 0.
-44, -2/3, 0, 1
Let -2*f**5 - 58*f**4 + 126*f**3 + 58*f**2 - 124*f = 0. What is f?
-31, -1, 0, 1, 2
Suppose -i**2/3 + 8600*i - 55470000 = 0. What is i?
12900
Factor 3*n**2 - 68295*n - 683250.
3*(n - 22775)*(n + 10)
Determine i, given that 2*i**5/5 - 28*i**4/5 - 14*i**3 + 16*i**2 + 248*i/5 + 128/5 = 0.
-2, -1, 2, 16
Factor j**4/2 - 53*j**3 - 107*j**2/2.
j**2*(j - 107)*(j + 1)/2
Suppose -3*k**5/8 + 27*k**4/4 + 6033*k**3/2 + 5973*k**2 - 12060*k - 24000 = 0. What is k?
-80, -2, 2, 100
Find b such that 3*b**4/4 - 435*b**3 - 4377*b**2/2 - 3069*b - 5265/4 = 0.
-3, -1, 585
Factor -2*b**3 + 1250*b**2 - 210000*b + 4500000.
-2*(b - 300)**2*(b - 25)
Let -50*j**5 - 7548*j**4 - 178048*j**3 + 8711484*j**2 - 348174*j = 0. What is j?
-87, 0, 1/25, 23
What is o in -o**2/7 + 313*o/7 - 220 = 0?
5, 308
Factor -2*o**2/19 + 592*o/19 + 4242/19.
-2*(o - 303)*(o + 7)/19
Suppose 9*a**5/2 - 3309*a**4/4 - 17415*a**3/4 - 15255*a**2/2 - 5097*a - 1134 = 0. What is a?
-2, -2/3, -1/2, 189
Factor -q**4/4 - 4*q**3 + 75*q**2 - 252*q.
-q*(q - 6)**2*(q + 28)/4
What is k in -5*k**5 + 1225*k**4 - 36765*k**3 + 385115*k**2 - 1424410*k + 1074840 = 0?
1, 6, 13, 212
Factor 3*a**2/4 - 71691*a/4 - 35847/2.
3*(a - 23898)*(a + 1)/4
Find t, given that -75*t**3/8 + 109785*t**2/4 - 159377763*t/8 - 486070209/2 = 0.
-12, 7349/5
Let j**5/8 + 43*j**4 + 2979*j**3/8 - 3015*j**2/2 = 0. What is j?
-335, -12, 0, 3
Suppose -4*b**4 + 372*b**3 - 7976*b**2 - 8352*b = 0. What is b?
-1, 0, 36, 58
Solve -2*a**4/9 - 4616*a**3/9 - 2630906*a**2/9 + 4172892*a - 11981520 = 0 for a.
-1161, 4, 10
Let -4*z**4 - 324*z**3 + 10668*z**2 + 980612*z + 969624 = 0. Calculate z.
-67, -1, 54
Let -j**5/3 + 83*j**4/3 - 439*j**3/3 - 1831*j**2/3 + 4652*j/3 - 2464/3 = 0. What is j?
-4, 1, 8, 77
Factor -2*f**2 + 483308*f - 483306.
-2*(f - 241653)*(f - 1)
Suppose -4*i**3 + 324*i**2 - 3948*i - 114868 = 0. Calculate i.
-13, 47
Determine m, given that -3*m**3 + 153*m**2 - 1440*m - 1596 = 0.
-1, 14, 38
Determine r so that -3*r**2 - 6378*r - 170019 = 0.
-2099, -27
Determine x so that 3*x**4 + 101*x**3 - 36*x**2 - 68*x = 0.
-34, -2/3, 0, 1
Factor n**4 - 140*n**3 + 7318*n**2 - 169260*n + 1461681.
(n - 39)**2*(n - 31)**2
Factor -y**2/2 - 28589*y - 817330921/2.
-(y + 28589)**2/2
Factor x**2/2 + 48579*x.
x*(x + 97158)/2
Solve -y**2/5 - 401*y/5 - 18148/5 = 0 for y.
-349, -52
Factor 3*l**2/2 + 38289*l - 76581/2.
3*(l - 1)*(l + 25527)/2
Solve -15*o**5 + 347*o**4 - 31*o**3 - 347*o**2 + 46*o = 0 for o.
-1, 0, 2/15, 1, 23
Solve -5*v**4/2 - 4095*v**3 - 2223450*v**2 - 393328305*v + 7446111705/2 = 0 for v.
-549, 9
What is g in g**5/6 + 33*g**4/2 + 1553*g**3/3 + 5189*g**2 + 53341*g/6 + 8405/2 = 0?
-41, -15, -1
Solve i**3 + 359*i**2 + 42955*i + 1712997 = 0 for i.
-121, -117
Factor 4*b**2/3 - 719664*b + 97109301168.
4*(b - 269874)**2/3
Factor 2*y**
|
{
"pile_set_name": "DM Mathematics"
}
|
11) in base 7?
-10465
Convert 255 (base 12) to base 8.
541
-94 (base 16) to base 12
-104
-2048 (base 11) to base 15
-c0e
-12223 (base 6) to base 16
-717
231 (base 12) to base 16
145
What is -891 (base 10) in base 16?
-37b
What is 1013021 (base 4) in base 9?
6218
Convert 1eef (base 16) to base 10.
7919
What is -36a9 (base 12) in base 2?
-1100000100001
What is -2750 (base 15) in base 12?
-4a40
What is 110420 (base 5) in base 12?
2298
13211 (base 4) to base 6
2125
What is 122 (base 8) in base 3?
10001
3443 (base 5) to base 6
2150
14a4 (base 14) to base 8
7130
What is -10053 (base 6) in base 4?
-110301
2045 (base 6) to base 12
325
-101011110000 (base 2) to base 8
-5360
-37a1 (base 11) to base 9
-6711
Convert 5623 (base 7) to base 2.
11111101010
Convert 15486 (base 9) to base 3.
112112220
What is -106237 (base 8) in base 2?
-1000110010011111
What is 33011 (base 5) in base 3?
10002120
-1101101101100 (base 2) to base 10
-7020
What is 10124 (base 6) in base 13?
7c9
Convert 1100000 (base 2) to base 13.
75
228a5 (base 13) to base 9
105373
51b2 (base 14) to base 9
21265
What is 131445 (base 6) in base 12?
6b85
What is 110100010 (base 2) in base 11?
350
141 (base 13) to base 9
266
What is -185 (base 11) in base 13?
-136
Convert 610 (base 10) to base 16.
262
What is 1c8 (base 16) in base 10?
456
Convert -231013 (base 7) to base 11.
-28a28
1100010211 (base 3) to base 6
321551
What is -5bd (base 14) in base 6?
-5151
110011220 (base 3) to base 4
2022300
What is -3b3e (base 15) in base 3?
-122100212
-301 (base 7) to base 15
-9d
Convert -2342 (base 15) to base 11.
-5697
-1101110010100 (base 2) to base 13
-32a1
-10201221 (base 3) to base 2
-101010100101
-10010102 (base 3) to base 11
-1792
430 (base 6) to base 4
2202
What is 277 (base 14) in base 2?
111110001
1409 (base 13) to base 10
2882
-25035 (base 6) to base 12
-217b
Convert a73 (base 12) to base 15.
6bc
-2133 (base 7) to base 9
-1033
61365 (base 7) to base 12
8793
-211101 (base 3) to base 10
-604
What is 7a95 (base 11) in base 16?
2987
Convert 1022100 (base 3) to base 8.
1672
-4012033 (base 5) to base 7
-352551
Convert 2486 (base 12) to base 11.
3119
5635 (base 7) to base 5
31120
What is 1021001001 (base 3) in base 2?
110000011101110
Convert 2233240 (base 5) to base 14.
10724
Convert 830a (base 12) to base 2.
11011110111010
What is 1747 (base 10) in base 14?
8cb
Convert 404415 (base 6) to base 9.
48052
What is -201321 (base 6) in base 8?
-37021
What is 112423 (base 5) in base 15?
1343
634 (base 10) to base 6
2534
-7785 (base 10) to base 14
-2ba1
1001000111 (base 2) to base 16
247
What is 1677 (base 12) in base 16?
a7b
Convert -65153 (base 8) to base 10.
-27243
7d2 (base 15) to base 10
1772
What is -3502 (base 6) in base 11?
-695
Convert -102202 (base 3) to base 8.
-475
What is 1030 (base 5) in base 9?
165
What is 2041434 (base 5) in base 6?
421214
What is -aacb (base 13) in base 8?
-56423
What is 1432 (base 5) in base 7?
464
-1214431 (base 5) to base 4
-11221030
Convert 20b (base 13) to base 16.
15d
What is -46535 (base 7) in base 5?
-340213
Convert -170a (base 14) to base 13.
-1b55
What is c2 (base 15) in base 7?
350
8c9 (base 13) to base 10
1517
What is 2eea (base 15) in base 12?
5a34
What is 11020 (base 6) in base 7?
4305
Convert 1011300 (base 6) to base 11.
332a8
-975 (base 16) to base 6
-15113
dbcc (base 14) to base 8
112170
Convert -13374 (base 10) to base 4.
-3100332
-165 (base 14) to base 10
-285
What is 24a (base 16) in base 8?
1112
Convert -13201 (base 4) to base 7.
-1255
What is 100101011101010 (base 2) in base 15?
5a38
-6a50 (base 11) to base 6
-110455
What is 440410 (base 6) in base 13?
1377c
342 (base 12) to base 13
2b1
Convert -204 (base 10) to base 5.
-1304
Convert -2908 (base 11) to base 5.
-110014
Convert 102 (base 7) to base 4.
303
10 (base 2) to base 11
2
Convert 429 (base 12) to base 6.
2453
-406 (base 8) to base 4
-10012
-1071 (base 12) to base 9
-2434
What is 2c7 (base 13) in base 12?
359
-3122 (base 6) to base 11
-585
9a1 (base 11) to base 13
714
What is 11010 (base 3) in base 4?
1233
36 (base 9) to base 13
27
What is -3407 (base 8) in base 4?
-130013
Convert 616c (base 16) to base 11.
17813
What is 114553 (base 7) in base 5?
1131423
What is 25278 (base 10) in base 4?
12022332
-2144 (base 6) to base 11
-411
What is -24b (base 15) in base 8?
-1011
Convert -2442 (base 6) to base 16.
-25a
What is -2022 (base 5) in base 12?
-19a
What is 11424 (base 5) in base 3?
1012000
What is -10001000101001 (base 2) in base 16?
-2229
39e (base 15) to base 2
1100111000
Convert 10022112 (base 3) to base 2.
100101110001
Convert 4222 (base 5) to base 12.
3aa
-32d (base 15) to base 16
-2ce
2401 (base 11) to base 9
4276
-3a3 (base 11) to base 10
-476
What is -202524 (base 6) in base 2?
-11111100110100
What is -304165 (base 7) in base 2?
-1100101010110001
-5719 (base 14) to base 10
-15115
What is 2002 (base 4) in base 15?
8a
Convert -45266 (base 7) to base 9.
-16648
11100111000 (base 2) to base 10
1848
20100 (base 4) to base 16
210
13031 (base 4) to base 15
20b
What is -1432 (base 6) in base 5?
-3010
What is -10656 (base 9) in base 7?
-26460
Convert -111754 (base 8) to base 15.
-b348
What is -586 (base 16) in base 15?
-644
Convert -103002 (base 6) to base 11.
-6370
2000 (base 6) to base 7
1155
Convert -472a (base 15) to base 10.
-15115
Convert 28d6 (base 15) to base 11.
6636
Convert -170 (base 14) to base 10.
-294
Convert 2990 (base 14) to base 2.
1110011010010
What is 14386 (base 11) in base 10?
20422
Convert -314121 (base 5) to base 9.
-15406
Convert -2737 (base 8) to base 13.
-8b8
100211121 (base 3) to base 14
2883
Convert 3171 (base 10) to base 3.
11100110
Convert 2b37 (base 14) to base 8.
17015
What is 6096 (base 15) in base 4?
10332213
What is -2120110 (base 3) in base 4?
-131103
Convert -1300455 (base 6) to base 5.
-4221123
What is -112221201 (base 3) in base 16?
-2a94
202020 (base 4) to base 9
2886
What is -52791 (base 10) in base 9?
-80366
Convert -22002 (base 3) to base 8.
-332
15443 (base 7) to base 15
1448
What is -6871 (base 13) in base 16?
-3922
Convert -222030 (base 5) to base 13.
-36c4
-2550 (base 6) to base 15
-2cc
Convert 446 (base 11) to base 9.
653
Convert -32735 (base 8) to base 13.
-6379
-1104 (base 10) to base 5
-13404
Convert 323123 (base 6) to base 10.
26619
240 (base 15) to base 4
13332
What is 32353 (base 7) in base 16?
1f8a
Convert -6571 (base 9) to base 6.
-34231
6015 (base 9) to base 15
1478
9a4 (base 12) to base 5
21140
Convert -24ca (base 14) to base 15.
-1da0
What is -1223 (base 10) in base 3?
-1200022
-16385 (base 10) to base 14
-5d85
Convert 207b (base 13) to base 11.
3418
Convert 6c (base 13) to base 7.
156
-4252 (base 9) to base 15
-dd5
-ca40 (base 13) to base 6
-334042
What is 3a692 (base 11) in base 14?
17232
What is 10ca6 (base 13) in base 3?
1120010222
What is -11545 (base 10) in base 13?
-5341
Convert -279 (base 14) to base 8.
-763
Convert 34401 (base 5) to base 8.
4654
Convert 20100 (base 4) to base 3.
201120
Convert 100211221 (base 3) to base 7.
26635
Convert -1111434 (base 5) to base 13.
-8c12
Convert 13330211 (base 4) to base 8.
77445
101131 (base 5) to base 14
12b1
What is 2393 (base 14) in base 15?
1c8a
What is 103133 (base 4) in base 5?
14442
Convert 111111001000100 (base 2) to base 12.
16858
What is 121121020 (base 3) in base 11?
9102
Convert 2110132 (base 4) to base 10.
9502
Convert -140540 (base 6) to base 14.
-4b24
What is -43405 (base 8) in base 7?
-104002
1322 (base 7) to base 15
23b
Convert 11110 (base 6) to base 16.
612
What is 1122 (base 9) in base 13?
4bb
What is -60435 (base 8) in base 13?
-b415
Convert 1222001 (base 4) to base 8.
15201
350 (base 12) to base 9
606
Convert 1eb2 (base 15) to base 13.
307a
What is 211101 (base 3) in base 10?
604
Convert -323 (base 9) to base 2.
-100001000
Convert -1fb (base 16) to base 15.
-23c
-1010110 (base 4) to base 16
-1114
What is 83646 (base 9) in base 16?
d7a3
What is -2220211 (base 3) in base 15?
-96d
Convert -100000011010 (base 2) to base 12.
-124a
Convert -142 (base 12) to base 11.
-167
What is -10110001010 (base 2) in base 4?
-112022
Convert -10e01 (base 15) to base 5.
-3210101
-2101112 (base 3) to base 8
-3316
What is -10002302 (base 4) in base 14?
-6070
-1000101000 (base 2) to base 6
-2320
What is -
|
{
"pile_set_name": "DM Mathematics"
}
|
many minutes are there in twenty-five quarters of a day?
9000
How many weeks are there in 156176.097 hours?
929.619625
Convert 81.24882 decades to centuries.
8.124882
Convert 0.3125701t to micrograms.
312570100000
Convert 0.8204969ng to milligrams.
0.0000008204969
How many litres are there in 6425.696ml?
6.425696
What is 25/4 of a litre in millilitres?
6250
How many minutes are there in 6172.909 weeks?
62222922.72
What is 46/5 of a century in decades?
92
How many micrometers are there in 1/16 of a centimeter?
625
What is sixty-four thirds of a hour in minutes?
1280
How many months are there in 5/6 of a millennium?
10000
How many centimeters are there in 3/5 of a meter?
60
What is 18983.5 millilitres in litres?
18.9835
What is twenty-six fifths of a litre in millilitres?
5200
What is 0.6896587 centimeters in nanometers?
6896587
How many kilometers are there in 6142.533m?
6.142533
How many hours are there in 8/3 of a week?
448
What is one fifth of a litre in millilitres?
200
How many millilitres are there in one fifth of a litre?
200
How many decades are there in one quarter of a millennium?
25
How many millilitres are there in 1/4 of a litre?
250
What is 61/2 of a millennium in centuries?
305
What is 1/5 of a gram in milligrams?
200
How many years are there in twenty-one fifths of a century?
420
How many kilometers are there in 7.203673 meters?
0.007203673
How many millennia are there in 19.507398 months?
0.0016256165
Convert 53492.45 tonnes to nanograms.
53492450000000000000
Convert 0.7227561 milliseconds to nanoseconds.
722756.1
How many minutes are there in 7/6 of a hour?
70
How many millilitres are there in 69292.39l?
69292390
What is 26.4592mg in grams?
0.0264592
How many nanoseconds are there in 447500.7 milliseconds?
447500700000
How many centimeters are there in 12/25 of a kilometer?
48000
How many decades are there in 2.3961096 months?
0.01996758
What is 21/5 of a second in milliseconds?
4200
What is 82/7 of a week in days?
82
What is 4.313094 millilitres in litres?
0.004313094
How many millilitres are there in 5653.88l?
5653880
How many years are there in fifteen quarters of a century?
375
How many millilitres are there in 27/2 of a litre?
13500
What is 6.580296 millimeters in centimeters?
0.6580296
What is 6/25 of a litre in millilitres?
240
Convert 59.40899 kilometers to nanometers.
59408990000000
How many millimeters are there in 760.7357 meters?
760735.7
What is 1/10 of a litre in millilitres?
100
What is 2/15 of a minute in milliseconds?
8000
How many litres are there in 7.982134ml?
0.007982134
How many months are there in 3/40 of a decade?
9
How many years are there in 11172.24 decades?
111722.4
How many nanoseconds are there in 17.32915 seconds?
17329150000
How many centuries are there in 1.097729 decades?
0.1097729
How many hours are there in 141.5601 nanoseconds?
0.00000000003932225
What is 1/10 of a kilometer in centimeters?
10000
Convert 54.16757g to tonnes.
0.00005416757
What is one twentieth of a millennium in decades?
5
Convert 860.6097 seconds to minutes.
14.343495
What is 6.399961 millilitres in litres?
0.006399961
What is seventeen quarters of a centimeter in micrometers?
42500
What is 3/25 of a centimeter in micrometers?
1200
What is 8/25 of a litre in millilitres?
320
How many centuries are there in 3/5 of a millennium?
6
How many micrograms are there in 29/5 of a milligram?
5800
How many millilitres are there in 11/4 of a litre?
2750
What is 3/5 of a second in milliseconds?
600
How many decades are there in five quarters of a millennium?
125
What is 12/25 of a meter in millimeters?
480
How many milligrams are there in 2/125 of a kilogram?
16000
What is six fifths of a decade in years?
12
How many milligrams are there in 12/25 of a gram?
480
How many nanograms are there in 3/40 of a microgram?
75
What is 40008.32mg in grams?
40.00832
What is 158.1102558s in weeks?
0.0002614256875
What is 0.5480426ml in litres?
0.0005480426
How many minutes are there in thirty-three fifths of a day?
9504
How many kilometers are there in 6.017175mm?
0.000006017175
How many microseconds are there in fifty-four fifths of a millisecond?
10800
How many microseconds are there in 91653.97 hours?
329954292000000
How many minutes are there in 40736.11 days?
58659998.4
How many years are there in eighty-seven halves of a century?
4350
How many milliseconds are there in 493.3006 days?
42621171840
Convert 3.283097cm to micrometers.
32830.97
Convert 1.6173cm to meters.
0.016173
What is 41/6 of a hour in minutes?
410
How many litres are there in 0.6238599 millilitres?
0.0006238599
How many kilograms are there in 1/4 of a tonne?
250
How many milliseconds are there in one twentieth of a second?
50
How many micrograms are there in 9.129058mg?
9129.058
How many microseconds are there in 18134.9s?
18134900000
What is seven eighths of a gram in milligrams?
875
How many litres are there in 0.793954ml?
0.000793954
What is one sixteenth of a millennium in months?
750
How many millilitres are there in 1/4 of a litre?
250
What is one quarter of a litre in millilitres?
250
What is 24317.9415 seconds in days?
0.28145765625
How many decades are there in 636.1646 millennia?
63616.46
Convert 0.5290612 meters to kilometers.
0.0005290612
Convert 79.02892 hours to microseconds.
284504112000
What is 2397.282l in millilitres?
2397282
Convert 6473.712 centuries to years.
647371.2
How many litres are there in 7.291596ml?
0.007291596
How many milligrams are there in eleven halves of a gram?
5500
How many seconds are there in 51/2 of a hour?
91800
What is 469.8075 decades in millennia?
4.698075
What is 198.617 millennia in years?
198617
Convert 890.5237 milligrams to grams.
0.8905237
How many kilograms are there in 3/40 of a tonne?
75
How many nanoseconds are there in 0.4907441s?
490744100
How many months are there in eleven quarters of a century?
3300
What is 3/32 of a kilometer in centimeters?
9375
How many months are there in 4/3 of a century?
1600
What is 4/3 of a decade in months?
160
How many tonnes are there in 12558.88 micrograms?
0.00000001255888
Convert 229.166 micrometers to nanometers.
229166
What is one tenth of a century in decades?
1
How many years are there in 11/8 of a millennium?
1375
Convert 23163.68l to millilitres.
23163680
How many nanograms are there in 3/8 of a microgram?
375
How many millilitres are there in 3/8 of a litre?
375
How many milliseconds are there in 2/15 of a minute?
8000
What is 3/8 of a litre in millilitres?
375
What is two fifteenths of a millennium in months?
1600
What is 2/125 of a tonne in grams?
16000
What is 488.7483 days in microseconds?
42227853120000
How many millilitres are there in 324.1435 litres?
324143.5
What is 6/5 of a century in years?
120
How many millilitres are there in seven eighths of a litre?
875
How many grams are there in twenty-one halves of a kilogram?
10500
What is 1/20 of a litre in millilitres?
50
How many millilitres are there in 21/5 of a litre?
4200
What is 44.24113 tonnes in micrograms?
44241130000000
What is 1.550603 meters in centimeters?
155.0603
How many millilitres are there in 6/5 of a litre?
1200
What is seven quarters of a kilogram in grams?
1750
How many millilitres are there in seven halves of a litre?
3500
What is 0.674707 centuries in months?
809.6484
What is 47/4 of a kilogram in grams?
11750
What is 674.7375ml in litres?
0.6747375
How many years are there in seventeen halves of a century?
850
Convert 6010.982mm to nanometers.
6010982000
How many meters are there in 4067.909mm?
4.067909
What is 3/50 of a microgram in nanograms?
60
What is 9/10 of a decade in months?
108
What is 51/5 of a kilometer in meters?
10200
What is 88.80688 kilograms in tonnes?
0.08880688
How many litres are there in 2184.465 millilitres?
2.184465
What is 419425.9 nanograms in milligrams?
0.4194259
What is 3/16 of a minute in milliseconds?
11250
How many minutes are there in 75.23846 weeks?
758403.6768
What is 8.913416 minutes in nanoseconds?
534804960000
What is 1234.3 centuries in years?
123430
What is 383.9866ml in litres?
0.3839866
What is 8681.505 years in millennia?
8.681505
How many nanometers are there in five quarters of a micrometer?
1250
What is 68.27125cm in meters?
0.6827125
How many litres are
|
{
"pile_set_name": "DM Mathematics"
}
|
.
7/45
What is prob of sequence opo when three letters picked without replacement from {o: 2, t: 2, i: 2, p: 12}?
1/204
Two letters picked without replacement from {y: 5, t: 3, h: 1, o: 3, q: 1}. Give prob of sequence hy.
5/156
Calculate prob of sequence xl when two letters picked without replacement from {m: 12, x: 3, l: 1}.
1/80
Calculate prob of sequence htbb when four letters picked without replacement from {t: 2, b: 2, l: 1, h: 1, r: 2, f: 1}.
1/756
Calculate prob of sequence ji when two letters picked without replacement from {j: 1, i: 1, g: 3, l: 2}.
1/42
Four letters picked without replacement from {q: 2, l: 1, e: 3, r: 4, d: 7}. What is prob of sequence drqr?
1/340
Three letters picked without replacement from {e: 9, x: 2}. Give prob of sequence xex.
1/55
Three letters picked without replacement from {t: 1, m: 1, w: 2, x: 2, h: 1}. Give prob of sequence txm.
1/105
Four letters picked without replacement from ppuuprpppppuup. Give prob of sequence pppp.
18/143
Four letters picked without replacement from xgvrxxo. Give prob of sequence oxgr.
1/280
Calculate prob of sequence yy when two letters picked without replacement from {b: 9, o: 7, y: 3}.
1/57
Two letters picked without replacement from dnvdtddqddtnvn. What is prob of sequence vq?
1/91
Calculate prob of sequence rz when two letters picked without replacement from {s: 3, z: 1, r: 5, o: 3}.
5/132
Calculate prob of sequence wtt when three letters picked without replacement from wtiwt.
1/15
Calculate prob of sequence er when two letters picked without replacement from errreereeerrrrer.
21/80
Calculate prob of sequence qppq when four letters picked without replacement from {q: 18, p: 2}.
1/190
Calculate prob of sequence tth when three letters picked without replacement from {k: 2, h: 1, t: 4, d: 3}.
1/60
Calculate prob of sequence vvs when three letters picked without replacement from vvss.
1/6
Three letters picked without replacement from {h: 5, w: 15}. Give prob of sequence whh.
5/114
Calculate prob of sequence yydg when four letters picked without replacement from tgdyy.
1/60
What is prob of sequence txw when three letters picked without replacement from {t: 2, w: 4, x: 1}?
4/105
Three letters picked without replacement from {o: 1, s: 3, z: 1}. What is prob of sequence szs?
1/10
Calculate prob of sequence zx when two letters picked without replacement from {k: 5, n: 3, d: 1, x: 1, s: 3, z: 6}.
1/57
Three letters picked without replacement from zzzzzzzzzdzdzzdzdzz. What is prob of sequence dzd?
10/323
Two letters picked without replacement from {o: 6, h: 2, c: 2, w: 3}. Give prob of sequence co.
1/13
Two letters picked without replacement from ljouohjhho. What is prob of sequence ju?
1/45
Two letters picked without replacement from peepppppeeppppppee. Give prob of sequence ee.
5/51
Calculate prob of sequence gppp when four letters picked without replacement from {i: 1, g: 1, d: 6, p: 7}.
1/156
Four letters picked without replacement from {s: 1, k: 2, a: 1, n: 3, u: 5, c: 3}. What is prob of sequence nuuc?
1/182
Calculate prob of sequence op when two letters picked without replacement from popooooooo.
8/45
What is prob of sequence ffff when four letters picked without replacement from {f: 5, k: 7}?
1/99
What is prob of sequence pgvk when four letters picked without replacement from gkpvxpkbgvkbbggp?
3/1820
Calculate prob of sequence fw when two letters picked without replacement from ocffrwf.
1/14
Calculate prob of sequence py when two letters picked without replacement from yppppppppppppppppyp.
17/171
Three letters picked without replacement from {v: 5, x: 4, b: 8}. Give prob of sequence vbv.
2/51
Calculate prob of sequence xj when two letters picked without replacement from {j: 4, x: 3}.
2/7
What is prob of sequence poow when four letters picked without replacement from {w: 6, o: 4, p: 1}?
1/110
Three letters picked without replacement from {j: 2, h: 1}. What is prob of sequence hjj?
1/3
Calculate prob of sequence iwii when four letters picked without replacement from ccicwwccciiicwcifc.
1/408
Calculate prob of sequence gf when two letters picked without replacement from {h: 6, x: 3, m: 5, g: 2, f: 1, b: 3}.
1/190
Three letters picked without replacement from nmjvvggc. What is prob of sequence jmn?
1/336
What is prob of sequence ooh when three letters picked without replacement from ohhhhohhhhho?
9/220
What is prob of sequence eyey when four letters picked without replacement from eeeeeeeyeeeye?
1/78
What is prob of sequence trr when three letters picked without replacement from {r: 3, k: 2, e: 1, t: 3, a: 1, m: 2}?
3/220
What is prob of sequence fff when three letters picked without replacement from {f: 11, z: 9}?
11/76
Four letters picked without replacement from scjcsjccusqucsp. What is prob of sequence pqus?
1/4095
Calculate prob of sequence wmo when three letters picked without replacement from owmowoowwmw.
4/99
What is prob of sequence mem when three letters picked without replacement from {e: 4, m: 6}?
1/6
Three letters picked without replacement from {w: 2, r: 4, b: 3}. What is prob of sequence bwb?
1/42
Calculate prob of sequence hhz when three letters picked without replacement from {z: 2, s: 3, u: 3, h: 5}.
10/429
Three letters picked without replacement from {z: 1, q: 2, e: 7, c: 4}. Give prob of sequence czq.
1/273
Calculate prob of sequence oz when two letters picked without replacement from bzbooyyomoowoo.
1/26
What is prob of sequence jj when two letters picked without replacement from aaaaaaajjaa?
1/55
Two letters picked without replacement from mimimimm. What is prob of sequence im?
15/56
Four letters picked without replacement from wjjwjwjjwwjjjjjjjw. Give prob of sequence wwjj.
11/204
Calculate prob of sequence suer when four letters picked without replacement from osrusuvusesssuue.
1/728
Calculate prob of sequence hj when two letters picked without replacement from jhhhhhhhhhhhhhhhhhh.
1/19
Four letters picked without replacement from {o: 2, a: 1, n: 6, k: 3}. What is prob of sequence nnoa?
1/198
Two letters picked without replacement from rzohzpz. What is prob of sequence oh?
1/42
What is prob of sequence kvj when three letters picked without replacement from {p: 1, k: 1, d: 2, j: 1, v: 1, q: 1}?
1/210
Four letters picked without replacement from vwvbbwwbbvppvpbwbvpw. What is prob of sequence bbvw?
25/3876
Four letters picked without replacement from blbjbljbblbb. What is prob of sequence jjlb?
7/1980
Four letters picked without replacement from keeebeeehaka. What is prob of sequence hhkb?
0
Calculate prob of sequence wrr when three letters picked without replacement from {o: 2, e: 3, w: 2, r: 8}.
8/195
Four letters picked without replacement from {c: 2, t: 2, u: 1, w: 4, f: 5}. Give prob of sequence ttww.
1/1001
Calculate prob of sequence ppfp when four letters picked without replacement from pffffpfffpp.
7/330
Two letters picked without replacement from hoohoooh. What is prob of sequence oo?
5/14
Three letters picked without replacement from {t: 3, m: 1, s: 4, f: 2, n: 2}. Give prob of sequence snn.
1/165
Two letters picked without replacement from {r: 14, q: 2, t: 1, f: 1, u: 1}. Give prob of sequence ut.
1/342
Four letters picked without replacement from cceececece. Give prob of sequence ecce.
5/63
What is prob of sequence mz when two letters picked without replacement from {s: 1, m: 4, z: 2, d: 9}?
1/30
Calculate prob of sequence mn when two letters picked without replacement from nnnnnnnmnnmnn.
11/78
Four letters picked without replacement from {k: 6, r: 5, o: 5, m: 4}. What is prob of sequence orkm?
5/969
Three letters picked without replacement from eeehehe. Give prob of sequence ehh.
1/21
Two letters picked without replacement from {r: 1, j: 7, h: 4, o: 2, t: 2}. Give prob of sequence ro.
1/120
Four letters picked without replacement from {t: 4, d: 5, x: 8}. What is prob of sequence ttxx?
1/85
What is prob of sequence umun when four letters picked without replacement from udnddmdddddndmuddd?
1/9180
Calculate prob of sequence ck when two letters picked without replacement from ochoookkckohhoooh.
3/136
Calculate prob of sequence ggwc when four letters picked without replacement from sgcngcgcwscmgcwssccg.
7/2907
Three letters picked without replacemen
|
{
"pile_set_name": "DM Mathematics"
}
|
8*k + 462
Suppose 5*o = 0, -d + 4*o + 3 = -0. Let u = d + 2. What is the third derivative of -4*p**2 + u*p**5 - 4*p**5 - 11*p**2 - 3*p**2 wrt p?
60*p**2
Let z(k) = k**3 - 3*k**2 - 2*k. Let g(n) = 822*n**3 + 15*n**2 + 36*n + 21. Let r(i) = g(i) + 5*z(i). What is the second derivative of r(m) wrt m?
4962*m
Let m(x) = -2276*x**2 + 220*x + 8523. Let u(f) = -6830*f**2 + 704*f + 25570. Let q(d) = 16*m(d) - 5*u(d). What is the derivative of q(c) wrt c?
-4532*c
Let n(l) = l - 12. Let t be n(-18). Let i = 42 + t. Find the second derivative of -31*m + 8*m + 7*m + i*m - 13*m**3 wrt m.
-78*m
Let p be (-14)/35 - (-184)/10. What is the second derivative of -p*a - 1084 + 1084 - 14*a**3 + 3*a**2 wrt a?
-84*a + 6
Let q(u) = 43*u**4 + 39*u**2 - 96*u - 235. Let a(c) = 22*c**4 + 19*c**2 - 46*c - 118. Let f(n) = -13*a(n) + 6*q(n). Find the second derivative of f(d) wrt d.
-336*d**2 - 26
Let b(g) be the first derivative of 837*g**4 + 14*g**3/3 + 15*g - 5298. What is the third derivative of b(r) wrt r?
20088
Find the third derivative of -1778*i**2 + 3345*i**5 + 564*i**2 + 230*i**5 - 417*i**2 - 373*i**2 wrt i.
214500*i**2
What is the third derivative of 1061*n**5 + 57*n**2 + 14*n + 172*n**2 - 11*n**2 - 12*n wrt n?
63660*n**2
Let w = -18 - -24. Let n(k) be the first derivative of -7*k**2 + w*k**4 + 1 + 9*k**2 - 16. What is the second derivative of n(t) wrt t?
144*t
Let p(i) be the second derivative of 357*i**5/20 + i**4/12 - 913*i**2 - 523*i. Find the first derivative of p(s) wrt s.
1071*s**2 + 2*s
Let u(r) be the first derivative of 237*r**4/4 - 3091*r**3/3 - 265. What is the third derivative of u(a) wrt a?
1422
Let c(m) be the third derivative of -1189*m**5/20 - 1415*m**4/6 - 3*m**2 + 2*m - 220. Find the second derivative of c(y) wrt y.
-7134
Let p(w) = 162*w**4 - 2*w**3 + w + 1738. Let u(x) = x**4 + x**3 + x - 1. Let h(i) = -p(i) - 2*u(i). Differentiate h(l) wrt l.
-656*l**3 - 3
Let l be ((-1)/4)/(341/88 - 4). Find the second derivative of 16*k + l + 23*k + 2*k**2 + 2*k + 4*k**3 - 22*k**2 wrt k.
24*k - 40
Let p be (-2 + -14)*6/((-192)/104). What is the second derivative of -71*h**2 - 64*h + 123*h - p*h wrt h?
-142
Let m(c) = -147*c - 54. Let w(u) = 9*u - u + 1 - 3*u - 4*u. Let r(t) = m(t) - 5*w(t). What is the first derivative of r(x) wrt x?
-152
Let b(o) = -4*o**3 - o**2 - 3*o - 1. Let f be b(-1). Find the second derivative of 16*g**f - 45*g + 61*g**5 - 43*g - 24*g**5 wrt g.
1060*g**3
Find the third derivative of -1 + 76073*t - 1784*t**2 + 1 + 610*t**3 - 76073*t wrt t.
3660
Suppose -6*v + 4*h = -3*v - 29, 0 = 3*h + 15. What is the first derivative of -893*c**v + 893*c**3 - 11*c**4 + 50 + 3*c wrt c?
-44*c**3 + 3
Let r(f) be the third derivative of -667*f**5/30 + 887*f**3 - 3*f**2 - 28*f - 3. What is the derivative of r(b) wrt b?
-2668*b
Let s be (1 - -1) + -1 - 0. Let w be (1 - 0 - 7) + 1275. Find the second derivative of w*k**5 - 1246*k**5 + 9*k + 1 - s wrt k.
460*k**3
Let v(p) be the third derivative of -p**5/60 + 581*p**4/3 + 4975*p**3/6 - 848*p**2. Differentiate v(d) with respect to d.
-2*d + 4648
Let z be (3 - 5)/(3*2/(-6)). Differentiate -4*g - 153*g**z + 153*g**2 + 21 + 3*g**3 wrt g.
9*g**2 - 4
What is the second derivative of 474*r**4 + 14 + 0*r**3 - 1 + 4*r + 0*r**3 + 2*r**3 - 25*r**4 wrt r?
5388*r**2 + 12*r
Suppose 0 = -32*f + 6 + 58. What is the third derivative of -101*b**3 - 2*b**4 + 8*b**2 - 26*b**2 + f + 24*b**2 + 23*b**2 wrt b?
-48*b - 606
Suppose 2*a - 10*n = -14*n + 20, 3*a - 3*n + 6 = 0. What is the second derivative of -5 - 67*l**2 - 19*l**a - l + 34*l**2 wrt l?
-104
Suppose 0 = -3*b - j + 66 + 194, -3*j + 185 = 2*b. Differentiate 2*u**4 + 20*u - b + 36*u - 32 - 17*u with respect to u.
8*u**3 + 39
Suppose -100 = -2*o - 4*r, -3*r + 4*r = 4. What is the third derivative of 2*a - 2*a - 2003*a**2 + o*a**5 + 1842*a**2 wrt a?
2520*a**2
Let m(g) be the second derivative of -963*g**5/20 - 539*g**2 + 1176*g. Find the first derivative of m(s) wrt s.
-2889*s**2
What is the second derivative of 632*w**2 + 70*w**2 + 456*w**2 - 3 - 237*w**2 - 366*w - w**4 wrt w?
-12*w**2 + 1842
Let x(g) be the third derivative of -739*g**6/120 + 12*g**5/5 - g**3/3 + 48*g**2 - 3*g + 3. Find the third derivative of x(d) wrt d.
-4434
Let l(w) be the third derivative of 7*w**5/40 + 7*w**4/4 - 29*w**3/6 + 88*w**2. Let a(z) be the first derivative of l(z). Differentiate a(b) wrt b.
21
Suppose 0 = -2*y + 5*y - 16116. Find the second derivative of -y + 69*b**2 - 36*b + 5372 wrt b.
138
Let o(t) be the first derivative of 0*t**6 + 0*t**5 - 174/7*t**7 + 0*t**4 + 0*t + 0*t**2 - 181/3*t**3 - 217. What is the third derivative of o(i) wrt i?
-20880*i**3
What is the second derivative of 27 - 2*w**3 - 14319*w + 2*w**3 + 14284*w + 4*w**5 + 2*w**5 wrt w?
120*w**3
Suppose -60*b - 1649 = -77*b. Find the first derivative of -b*d - 38 - 86*d + 15*d**2 + 181*d wrt d.
30*d - 2
Let r = 35 - 45. Let s be ((-48)/(-30))/((-4)/r). What is the third derivative of -g**4 + 16*g**2 - 15*g**2 + s*g**5 + g**4 wrt g?
240*g**2
Suppose 3*p - p - 30 = 4*z, p = z + 11. Suppose -5*m + 72 = -4*n, 22 = -5*n + p. What is the second derivative of -m*y**3 + y + 7*y - 22*y wrt y?
-72*y
Let f(r) = -595*r**3 - 2*r**2 - 5*r - 4. Let m be f(-1). What is the first derivative of -15*q**4 - 15*q**3 - m + 577 + 13*q**3 wrt q?
-60*q**3 - 6*q**2
Let n(f) be the second derivative of 368*f**6/15 + f**5/20 + 1145*f**3/6 + 3243*f. Find the second derivative of n(x) wrt x.
8832*x**2 + 6*x
Find the second derivative of -31150*r**2 - 34931*r**2 - 21 + 69252*r**2 + 20*r wrt r.
6342
Let t(g) = -6*g**3 - 261*g**2 + 8*g + 2932. Let y(r) = -18*r**3 - 783*r**2 + 26*r + 8795. Let i(c) = -13*t(c) + 4*y(c). Differentiate i(p) wrt p.
18*p**2 + 522*p
Let h(o) be the first derivative of 853*o**4/4 - 14*o**3/3 - 2*o + 584. Find the third derivative of h(c) wrt c.
5118
Differentiate -39886*k**4 - 4822 - 54 + 29197*k**4 with respect to k.
-42756*k**3
What is the third derivative of -15*h + 6*h + 70*h**2 + 11*h + 4853*h**2 + 475*h**2 + 2331*h**3 wrt h?
13986
Suppose -b - 3*r + 2*r + 5 = 0, 4*r = 3*b + 6. What is the second derivative of 51*w + 0 + w**2 - 35*w**b - 2 - 56*w + 2*w**5 wrt w?
40*w**3 - 68
Let n(a) be the second derivative of -2*a**6/15 + a**5/20 + 431*a**3/6 + 1707*a**2/2 + 4766*a. What is the first derivative of n(f) wrt f?
-16*f**3 + 3*f**2 + 431
Let t(d) be the first derivative of -15*d**4/4 + 27*d**2/2 + 2358*d + 2074. Find the first derivative of t(n) wrt n.
-45*n**2 + 27
Let j be 14/(-4)*136/(-238). Differentiate -51 + 279*o**j + 101*o - 279*o**2 - o**3 with respect to o.
-3*o**2 + 101
Suppose 16 = 2*i + 8. Let r(d) = 5*d - 8. Let n be r(i). Differentiate -4*x**2 - 67*x**4 - n + 4*x**2 + 60*x**4 with respect to x.
-28*x**3
Let p(j) be the third derivative of 0*j + 47/12*j**4 + 1/40*j**6 + 0*j**3 + 0*j**5 + 3 - 38*j**2 - 1/7*j**7. What is the second derivative of p(l) wrt l?
-360*l**2 + 18*l
Let y(t) be the first derivative of 6*t**6/5 + 35*t**4/6 - 61*t + 41. Let z(r) be the first derivative of y(r). Find the third derivative of z(d) wrt d.
864*d
Let i(u) be the first derivative of 2372*u**5/5 + 1375*u + 1057. Differentiate i(c) with respect to c.
9488*c**3
Let o(c) = -14 + 13 - 11*c**2 + 14*c**2 - 32 + 9*c. Let w(t) = -3*t**2 - 10*t + 33. Let y(n) = -5*o(n) - 4*w(n). What is the derivative of y(q) wrt q?
-6*q - 5
Let v(d) = -13693*d - 34477. Let h(u) = -1956*u - 4928. Let p(j) = 15*h(j) - 2*v(j). Differentiate p(m) wrt m.
-1954
Let s(m) be the third derivative of 0*m**4 + 2/35*m**7 + 1/2*m**5 + m + 0*m**3 + 0*m**6 + 0 - 12*m**2. Find the third derivative of s(t) wrt t.
288*t
Let x(z) = -10*z + 370. Let d be x(37). Let w(n) be the first derivative of -14/3*n**3 + d*n - 27/2*n**2 - 23. What is the second derivative of w(a) wrt a?
-28
Let s(u) = -3286*u**3 - 20*u**2 + 20*u - 4660. Let y(n) = -5*n**2 + 5*n + 1. Let r(z) = s(z) - 4*y(z). Differentiate r(a) with respect to a.
-9858*a**2
Let d(n) be the second derivative of 0*n**4 - 18*n + 0 + 0*n**2 - 45/2*n**3 + 13/15*n**6 + 0*n**5. Find the second derivative of d(m) wrt m.
312*m**2
Let i(k) be the first derivative of 0*k**4 + 0*k - 3*k**3 - 29/3*k**6 + 0*k**2 + 0*k**5 - 39. What is the third derivative of i(l) wrt l?
-3480*l**2
Suppose 0 = 4*x - 4*u - 15 - 13, -5*u - 33 = -4*x. Differ
|
{
"pile_set_name": "DM Mathematics"
}
|
er?
True
Is 39761861 composite?
True
Is 3955643 a composite number?
False
Is 24764213 prime?
True
Is 87689321 prime?
True
Is 1929451 prime?
True
Is 83361071 prime?
True
Is 14274593 a prime number?
True
Is 14151613 a composite number?
True
Is 154037773 a prime number?
True
Is 80223959 prime?
True
Is 675853 a prime number?
False
Is 2253991 a composite number?
True
Is 2395639 a composite number?
True
Is 13216043 a composite number?
True
Is 302237567 composite?
True
Is 6727457 prime?
False
Is 58504243 prime?
False
Is 416303 a composite number?
True
Is 49654067 a prime number?
True
Is 10104563 composite?
True
Is 2265773 prime?
False
Is 5815603 composite?
False
Is 30829789 composite?
True
Is 10004747 composite?
True
Is 190261 prime?
True
Is 4043293 a composite number?
False
Is 2187491 a prime number?
True
Is 1584013 composite?
True
Is 84156077 a prime number?
True
Is 17404963 a composite number?
False
Is 5153689 prime?
True
Is 44336821 a prime number?
True
Is 10003333 a composite number?
True
Is 664198543 a prime number?
True
Is 57580097 a composite number?
True
Is 82307 composite?
False
Is 61876639 composite?
True
Is 408133241 a prime number?
True
Is 452854 composite?
True
Is 12463453 a composite number?
False
Is 106540933 prime?
False
Is 655909 composite?
False
Is 1701053 prime?
False
Is 14285189 a composite number?
True
Is 2112457 a composite number?
True
Is 70298993 composite?
True
Is 56138791 prime?
False
Is 8138861 composite?
False
Is 10118831 a prime number?
True
Is 34296301 a composite number?
True
Is 4302217 prime?
False
Is 181121947 prime?
False
Is 257593649 a composite number?
False
Is 1411411 composite?
False
Is 1714079 a prime number?
False
Is 52051453 a prime number?
False
Is 19186331 a prime number?
True
Is 168108047 prime?
True
Is 3574841 prime?
False
Is 276305033 prime?
True
Is 84641867 a prime number?
True
Is 405601613 a prime number?
False
Is 1176481 composite?
True
Is 2612609 composite?
True
Is 73312067 prime?
True
Is 13071 a composite number?
True
Is 964009 composite?
False
Is 5743571 composite?
True
Is 2381599 a composite number?
True
Is 560551 prime?
True
Is 510379 prime?
True
Is 1111489 a prime number?
True
Is 232027465 prime?
False
Is 3005417 composite?
False
Is 781889 composite?
False
Is 13975567 a composite number?
False
Is 11241023 a composite number?
False
Is 225800797 composite?
True
Is 59671749 a composite number?
True
Is 1958267 prime?
False
Is 9418841 prime?
True
Is 87267707 composite?
False
Is 411500794 a prime number?
False
Is 125040337 composite?
True
Is 2055649 prime?
True
Is 10950997 a prime number?
False
Is 22560503 a composite number?
True
Is 418223899 a composite number?
False
Is 74408941 composite?
False
Is 7088821 a prime number?
True
Is 22543783 a prime number?
False
Is 2067851 prime?
True
Is 19910137 a composite number?
True
Is 5645383 prime?
True
Is 218461097 composite?
False
Is 188534861 a composite number?
False
Is 71372467 prime?
True
Is 253787 a prime number?
True
Is 7574387 a prime number?
True
Is 288795319 prime?
True
Is 94891289 prime?
False
Is 237676865 a composite number?
True
Is 444498799 prime?
True
Is 47459221 composite?
True
Is 760043 prime?
True
Is 174689129 composite?
False
Is 589682609 a prime number?
True
Is 17833997 a prime number?
False
Is 99207859 prime?
True
Is 16712987 composite?
True
Is 30351977 composite?
False
Is 16736171 a prime number?
True
Is 25818241 a prime number?
True
Is 55640471 composite?
False
Is 560357 prime?
False
Is 2129287597 composite?
False
Is 9771459 prime?
False
Is 5088731 a prime number?
True
Is 12866639 a composite number?
True
Is 63294227 prime?
True
Is 1408279 composite?
False
Is 12752053 prime?
True
Is 3642619 a composite number?
False
Is 177598931 composite?
False
Is 19283 a composite number?
True
Is 11078359 a composite number?
False
Is 8015045 a composite number?
True
Is 68353921 composite?
True
Is 148550387 prime?
True
Is 89641261 a composite number?
False
Is 33047243 a prime number?
False
Is 6544771 a prime number?
False
Is 149309 composite?
False
Is 80791721 a prime number?
True
Is 25364813 prime?
False
Is 9253793 a composite number?
True
Is 5992153 a prime number?
True
Is 1157449 prime?
True
Is 5902903 composite?
False
Is 276320411 a prime number?
True
Is 79969111 composite?
False
Is 109751289 a composite number?
True
Is 45019939 prime?
True
Is 7382779 a prime number?
True
Is 108756047 composite?
True
Is 23626621 a prime number?
False
Is 14594731 a prime number?
True
Is 12375107 composite?
True
Is 77575063 a prime number?
False
Is 6141545 prime?
False
Is 428797 a composite number?
False
Is 4215131 composite?
True
Is 365271565 prime?
False
Is 20932777 prime?
True
Is 171811 a prime number?
True
Is 27920818 a composite number?
True
Is 15785081 a composite number?
True
Is 5441701 composite?
True
Is 120067877 a composite number?
True
Is 3583711 composite?
False
Is 839369 composite?
False
Is 693229 composite?
True
Is 11435 a composite number?
True
Is 2625463 prime?
False
Is 2373869 composite?
False
Is 20610209 a prime number?
False
Is 770881843 a prime number?
True
Is 8165797 prime?
False
Is 4893682 prime?
False
Is 1062219 a prime number?
False
Is 57356357 a prime number?
False
Is 164806519 prime?
True
Is 272470269 a composite number?
True
Is 17348297 composite?
False
Is 58147777 a prime number?
True
Is 40420537 prime?
False
Is 15319139 prime?
False
Is 105142841 composite?
True
Is 8351633 composite?
False
Is 863937169 composite?
False
Is 257712131 a prime number?
True
Is 404081 a composite number?
False
Is 287476451 composite?
False
Is 8116061 prime?
False
Is 3705941 a prime number?
True
Is 69248471 prime?
False
Is 6144167 composite?
True
Is 13991359 a prime number?
False
Is 30443474 prime?
False
Is 63686281 composite?
True
Is 33376969 prime?
True
Is 2467411 a prime number?
False
Is 676573 composite?
False
Is 42194885 a prime number?
False
Is 650759 prime?
True
Is 14481337 prime?
False
Is 37077511 prime?
False
Is 13245343 composite?
True
Is 242911 a prime number?
True
Is 127894673 composite?
False
Is 2687957 prime?
True
Is 60409103 composite?
False
Is 870235 composite?
True
Is 18502633 a composite number?
False
Is 72613 prime?
True
Is 53507703 prime?
False
Is 19023013 composite?
False
Is 1602661 a prime number?
True
Is 210116113 a prime number?
False
Is 257172826 a prime number?
False
Is 2921749 composite?
True
Is 6278557 composite?
False
Is 2170729 prime?
False
Is 17299447 prime?
False
Is 1675733 composite?
False
Is 145529201 a prime number?
True
Is 4636435 a composite number?
True
Is 1529149 a composite number?
False
Is 15384791 a prime number?
False
Is 219210253 prime?
True
Is 3823007 a prime number?
True
Is 18287881 a composite number?
False
Is 19690847 a prime number?
False
Is 8655011 prime?
True
Is 9972913 composite?
False
Is 10804569 composite?
True
Is 189509843 a composite number?
False
Is 1555751 a composite number?
False
Is 4352111 a prime number?
True
Is 787153 a composite number?
False
Is 922544071 prime?
True
Is 62729837 prime?
False
Is 14147521 a composite number?
False
Is 8759887 a composite number?
True
Is 22750147 prime?
False
Is 187265509 prime?
False
Is 1534727 a prime number?
True
Is 2745623 prime?
False
Is 30901355 a composite number?
True
Is 116253631 composite?
True
Is 16181687 composite?
False
Is 2360887 prime?
True
Is 343671287 a prime number?
True
Is 1484173 a prime number?
False
Is 385148251 a prime number?
False
Is 611579 a composite number?
True
Is 438359 prime?
False
Is 3666961 prime?
True
Is 51679457 composite?
True
Is 135776401 composite?
False
Is 1598933 a composite number?
True
Is 2961382 a prime number?
False
Is 17079542 prime?
False
Is 9181817 prime?
True
Is 1160941 composite?
False
Is 4627267 prime?
False
Is 108601 prime?
False
Is 4611422 a prime number?
False
Is 2266079 a prime number?
True
Is 3108689 composite?
False
Is 1869481 a prime number?
False
Is 19011589 a prime number?
False
Is 83553557 a composite number?
True
Is 5197487 a composite number?
True
Is 70065739 a composite number?
True
Is 1458235 a composite number?
True
Is 232181 prime?
False
Is 16081037 composite?
True
Is 110503649 prime?
True
Is 123834853 prime?
True
Is 5171483 a prime number?
False
Is 6985139 prime?
False
Is 1382353 prime?
False
Is 10671
|
{
"pile_set_name": "DM Mathematics"
}
|
ivisor of 15617 and 38897.
97
Calculate the highest common factor of 100 and 81250.
50
What is the highest common factor of 39273 and 1482?
741
What is the greatest common factor of 2956850 and 975?
325
Calculate the highest common divisor of 1464 and 10344.
24
What is the highest common factor of 18510 and 615?
15
Calculate the highest common factor of 22 and 259358.
22
What is the highest common divisor of 7 and 664657?
7
What is the highest common divisor of 573150 and 300?
150
What is the greatest common factor of 1254 and 48444?
66
Calculate the highest common factor of 217622 and 68182.
934
Calculate the highest common divisor of 610 and 13430.
10
Calculate the highest common factor of 50257 and 29.
29
Calculate the greatest common divisor of 1273 and 1608.
67
Calculate the highest common factor of 1704 and 259292.
284
Calculate the highest common factor of 192 and 1140.
12
What is the highest common divisor of 84557 and 319?
11
Calculate the greatest common factor of 7002 and 2916.
18
What is the greatest common divisor of 582 and 58394?
194
Calculate the greatest common divisor of 14304 and 108.
12
What is the highest common divisor of 364203 and 1890?
189
Calculate the greatest common factor of 92368 and 69.
23
Calculate the greatest common factor of 1316 and 58891.
329
What is the highest common divisor of 135565 and 25?
5
What is the highest common divisor of 288396 and 384?
12
What is the greatest common factor of 72 and 215232?
24
What is the highest common factor of 336 and 68320?
112
Calculate the greatest common divisor of 3582 and 1023258.
1194
What is the highest common factor of 42 and 8932?
14
Calculate the highest common factor of 101724 and 1372.
196
What is the greatest common divisor of 52341 and 365?
73
What is the highest common divisor of 103230 and 1674?
558
What is the highest common divisor of 1647 and 198189?
549
What is the highest common divisor of 470 and 710?
10
Calculate the greatest common factor of 38144 and 1328.
16
Calculate the highest common factor of 11424 and 21.
21
Calculate the greatest common factor of 1287 and 45837.
99
Calculate the highest common factor of 9200 and 4784.
368
What is the highest common divisor of 1606248 and 504?
504
What is the greatest common factor of 100 and 83236?
4
What is the highest common factor of 292316 and 32?
4
What is the highest common factor of 28 and 68390?
14
Calculate the highest common divisor of 24457 and 111.
37
Calculate the greatest common factor of 172161 and 141.
141
What is the greatest common factor of 36768 and 208?
16
What is the highest common factor of 102 and 623322?
102
What is the highest common factor of 124972 and 2198?
314
What is the greatest common divisor of 672 and 980112?
336
What is the highest common divisor of 70 and 2429?
7
What is the greatest common factor of 287 and 1435?
287
Calculate the highest common divisor of 1700 and 2150.
50
What is the highest common divisor of 156723 and 30291?
1317
Calculate the greatest common divisor of 30 and 366090.
30
What is the greatest common factor of 12055 and 10?
5
What is the highest common factor of 8832 and 127236?
276
Calculate the greatest common factor of 186 and 522350.
62
What is the greatest common factor of 4939920 and 216?
216
Calculate the greatest common factor of 97 and 93799.
97
What is the highest common divisor of 384 and 5064?
24
What is the greatest common factor of 1010 and 236542?
202
Calculate the highest common divisor of 125679 and 1.
1
What is the highest common divisor of 3995 and 1445?
85
Calculate the greatest common divisor of 1007 and 15688.
53
What is the greatest common divisor of 4865 and 595?
35
Calculate the greatest common factor of 2809 and 11660.
53
What is the highest common factor of 2794244 and 752?
188
What is the highest common factor of 2997 and 7452?
81
What is the greatest common factor of 1661 and 25972?
151
Calculate the highest common divisor of 7072 and 2873.
221
Calculate the greatest common factor of 510549 and 12597.
741
Calculate the greatest common factor of 1330 and 153710.
190
Calculate the greatest common factor of 10604 and 132.
44
What is the highest common factor of 128 and 152512?
64
Calculate the greatest common divisor of 695232 and 5440.
1088
What is the highest common divisor of 256 and 175976?
8
Calculate the highest common factor of 693 and 11341.
11
What is the greatest common factor of 1216 and 13034?
38
What is the greatest common factor of 24 and 14592?
24
Calculate the greatest common divisor of 19860 and 24540.
60
What is the highest common divisor of 51 and 25687?
17
Calculate the greatest common divisor of 21775 and 75.
25
Calculate the greatest common factor of 18 and 67707.
9
What is the highest common divisor of 4334 and 693?
11
What is the greatest common factor of 27404 and 1508?
52
Calculate the greatest common divisor of 334 and 945053.
167
Calculate the greatest common factor of 6 and 15921.
3
Calculate the greatest common factor of 6463080 and 390.
390
Calculate the highest common divisor of 1566 and 191400.
174
Calculate the greatest common factor of 2890 and 390.
10
Calculate the highest common divisor of 6437 and 1413.
157
Calculate the highest common factor of 63 and 640073.
7
What is the greatest common divisor of 3799 and 1703?
131
What is the highest common factor of 175007 and 322?
161
Calculate the highest common divisor of 13750 and 88.
22
What is the highest common divisor of 837 and 6789?
93
What is the highest common divisor of 2001 and 237568?
29
What is the highest common divisor of 1212 and 41612?
404
What is the greatest common factor of 61375 and 1?
1
What is the highest common divisor of 96075 and 7245?
315
What is the greatest common divisor of 96 and 2868?
12
Calculate the highest common divisor of 97497 and 54.
27
What is the greatest common factor of 3648 and 1610?
2
What is the highest common factor of 253456 and 8?
8
What is the greatest common factor of 1633050 and 75?
75
Calculate the highest common factor of 668 and 268.
4
What is the greatest common divisor of 208 and 7319?
13
What is the highest common factor of 1863 and 3186?
27
Calculate the highest common factor of 12590 and 70.
10
Calculate the greatest common divisor of 184 and 72956.
92
What is the highest common divisor of 29271 and 33?
33
Calculate the highest common factor of 744 and 232.
8
Calculate the highest common divisor of 363 and 384175.
121
Calculate the greatest common factor of 166 and 14258.
2
Calculate the greatest common divisor of 264073 and 12736.
199
What is the highest common factor of 7897 and 583?
53
Calculate the greatest common factor of 416454 and 837.
93
What is the highest common factor of 4 and 67052?
4
Calculate the greatest common factor of 2325589 and 434.
217
Calculate the highest common factor of 3997 and 1211.
7
What is the greatest common divisor of 13090210 and 20?
10
What is the greatest common divisor of 357 and 7089?
51
Calculate the greatest common factor of 6 and 21738.
6
Calculate the greatest common divisor of 335237 and 14525.
581
What is the highest common divisor of 33464 and 37736?
712
What is the highest common factor of 603 and 84219?
201
What is the highest common factor of 690 and 19665?
345
What is the highest common divisor of 143260 and 11136?
116
Calculate the greatest common factor of 609723 and 333.
333
Calculate the greatest common factor of 12121 and 449903.
713
What is the greatest common factor of 16 and 960312?
8
What is the greatest common factor of 2945 and 13205?
95
Calculate the greatest common divisor of 441638 and 10538.
958
Calculate the highest common divisor of 4344 and 20184.
24
What is the greatest common factor of 400887 and 9?
9
What is the highest common divisor of 14350 and 201720?
410
What is the greatest common divisor of 62 and 837682?
62
Calculate the highest common divisor of 36 and 2655522.
18
Calculate the highest common divisor of 6847 and 41.
41
What is the highest common factor of 3 and 138614?
1
What is the greatest common factor of 1034573 and 367?
367
Calculate the highest common factor of 6 and 9155778.
6
What is the highest common factor of 51046 and 10?
2
What is the greatest common factor of 143536 and 128?
16
Calculate the
|
{
"pile_set_name": "DM Mathematics"
}
|
(a) 3 (b) 1709 (c) 5 (d) 5/4 (e) -2
a
What is the smallest value in 1.6365, 1, 4?
1
Which is the fourth biggest value? (a) 8 (b) -0.2 (c) -0.1 (d) -4 (e) 4/55 (f) -1
b
What is the third smallest value in 0.1, -1/2, -0.1, -2/113, 112, 0.4?
-2/113
What is the third smallest value in -25811, -2/11, -2, -0.4?
-0.4
Which is the third biggest value? (a) 381 (b) -1/8 (c) -8/11
c
What is the second smallest value in 2/2139, -5, 7?
2/2139
Which is the fourth biggest value? (a) 5 (b) -1.8 (c) -1/2 (d) 64.8
b
Which is the third biggest value? (a) -1/2 (b) 19870 (c) -0.2
a
Which is the biggest value? (a) 0.4 (b) -1 (c) -13 (d) 21.4 (e) -2/27
d
Which is the smallest value? (a) -0.08 (b) 5 (c) -16/9 (d) -2/29
c
What is the third biggest value in -0.017, 167, -2?
-2
What is the second biggest value in -0.4, 0.121, -5, -2, 2?
0.121
Which is the third smallest value? (a) -2/3 (b) -99 (c) 2/123
c
Which is the smallest value? (a) -2 (b) -323 (c) -0.024
b
Which is the smallest value? (a) 22/283 (b) 0 (c) 4/7
b
What is the fourth biggest value in -14/5, 0.5, -2, -0.09, -6.5?
-14/5
Which is the second smallest value? (a) -3 (b) -0.15 (c) 2/15 (d) -32
a
What is the third smallest value in 1.038, 8, 2/7?
8
Which is the biggest value? (a) 10/3 (b) 1/2 (c) -31 (d) 0.1 (e) 0.046
a
What is the fifth biggest value in 2, 1, -2/9, -5/9, 2/13?
-5/9
Which is the second smallest value? (a) 7019 (b) -0.4 (c) 1 (d) 15
c
Which is the fifth smallest value? (a) -5 (b) -1/3 (c) 4 (d) 556 (e) 0.2 (f) -1/5
c
Which is the fourth biggest value? (a) -2 (b) -24.1 (c) -0.5 (d) 1 (e) 3 (f) 13
c
What is the smallest value in -4/9, 0.2, 139, 72?
-4/9
Which is the third biggest value? (a) -42 (b) -1 (c) -23/11 (d) -0.5 (e) -3
c
Which is the fourth smallest value? (a) 18 (b) -10 (c) -3 (d) -4 (e) 2
e
What is the second biggest value in -3, 0.2, 3/4, 2922?
3/4
What is the smallest value in -4, 3, 5, 0.0363, -1?
-4
Which is the third biggest value? (a) 16610 (b) 1/6 (c) -2/3
c
What is the smallest value in -2/7, -2, 0, -2402, 3/4, -2/5?
-2402
Which is the third biggest value? (a) 3/11 (b) -0.06 (c) -5/4 (d) 0.8
b
What is the third biggest value in -698, 0.5, 4, 1?
0.5
What is the second biggest value in -2, -6, 0.086, -0.2?
-0.2
What is the second biggest value in -2/9, 4, 218, 0.77?
4
Which is the biggest value? (a) -4 (b) -5 (c) 772 (d) -1 (e) -12
c
What is the fifth smallest value in -0.05, 1, -4/3, -2/15, -0.4?
1
What is the second smallest value in 1/5, 4/7, 0.3, -5, 0, -2/15?
-2/15
What is the fourth smallest value in 0.4, -5/2, -1, 0, 6, -769?
0
What is the fifth biggest value in 4.57, 0.4, 7, -2/7, -0.06, -0.2?
-0.2
Which is the fourth smallest value? (a) 0.06 (b) 0.2 (c) 2/21 (d) -0.0102 (e) 4/5 (f) 1/4
b
Which is the second smallest value? (a) -104 (b) -4 (c) -34/53 (d) -0.5
b
Which is the third smallest value? (a) 0 (b) -1210 (c) -0.3 (d) 0.4 (e) 3
a
Which is the second biggest value? (a) 0.1 (b) -0.4 (c) 3973 (d) 0 (e) 4
e
What is the fourth biggest value in 1, 0, -20.6, -1?
-20.6
What is the third biggest value in -4, -292, -158?
-292
Which is the fourth smallest value? (a) 3 (b) 5 (c) 1 (d) -4 (e) 19.7
b
Which is the smallest value? (a) 3/689 (b) 4 (c) -2/3 (d) -25
d
What is the second biggest value in 653, 0.1, -13, -2?
0.1
What is the third smallest value in 4, 2, 10944?
10944
What is the fifth smallest value in -2, 0.3, 4, -1, 3/53, 30?
4
Which is the third biggest value? (a) -0.1 (b) -25491 (c) -59
b
Which is the biggest value? (a) -1 (b) -3 (c) 29/7 (d) -5/3
c
Which is the second biggest value? (a) 0.2 (b) 7/13 (c) 1/7 (d) -0.9
a
What is the second biggest value in -2, 5, 10, -10, 1, 3/4?
5
What is the second smallest value in -0.2, -0.1, 166, -96, -13?
-13
Which is the second biggest value? (a) 6.27 (b) 121/3 (c) -8 (d) 3
a
What is the fourth biggest value in -1/3, 8/7, 0.2, 3, -1/2?
-1/3
What is the biggest value in 59.9, -5, -28?
59.9
Which is the fourth smallest value? (a) -184 (b) 1 (c) -44 (d) -3/2 (e) 6
b
Which is the second smallest value? (a) 2/105 (b) -2/7 (c) 167/4
a
Which is the third biggest value? (a) 5 (b) -3/505 (c) -70/13 (d) 1
b
What is the biggest value in 2286, -0.4, -1/4, 0.5?
2286
Which is the biggest value? (a) 8 (b) 0.4 (c) 1/5 (d) 1/4 (e) -7 (f) -1/3
a
What is the second smallest value in -0.038, 0.328, -1.1?
-0.038
Which is the second biggest value? (a) -1/4 (b) -13902 (c) -0.06
a
Which is the second biggest value? (a) -2/63 (b) -0.4 (c) -0.2 (d) -2/17 (e) -7
d
What is the third biggest value in 4, 5, 0.053, 63, 16?
5
What is the second smallest value in -5, 3553, -3/7, -0.4?
-3/7
Which is the fifth smallest value? (a) 3/2 (b) 55/19 (c) 4 (d) 3/5 (e) -5 (f) -2/3
b
What is the second biggest value in 0, -19, -0.3, 0.3, 0.2, 1465/8?
0.3
Which is the fourth smallest value? (a) -3/8 (b) 3/5 (c) -0.1 (d) -4 (e) -12 (f) -13
a
What is the fourth smallest value in 7, 2, -4.465, 0.9?
7
What is the smallest value in 4, -4/7, 5702, 0.2?
-4/7
Which is the second biggest value? (a) -7 (b) 12 (c) 11/7 (d) 2 (e) -1/3
d
Which is the biggest value? (a) 0.4 (b) 3 (c) 6 (d) -587.48
c
What is the third smallest value in -140, -2, -2/5, 86, -5/4?
-5/4
Which is the second biggest value? (a) -27 (b) 4 (c) -7.4 (d) 3 (e) -0.3
d
What is the sixth smallest value in 0.2, 2, 3, 2/3, -1590, 5?
5
Which is the third smallest value? (a) 1/867 (b) -3 (c) 19 (d) 29
c
Which is the fourth smallest value? (a) 0.4 (b) -0.1 (c) -2/7 (d) -7 (e) 18.4
a
What is the second biggest value in 26, 0.53, 1, 5, 4?
5
Which is the fifth smallest value? (a) -5 (b) -1/3 (c) 1/22 (d) 95 (e) -2
d
What is the sixth smallest value in 2, 3, 4, 0.5, 52.6, 5?
52.6
Which is the second biggest value? (a) -53 (b) 224 (c) -17 (d) -5
d
Which is the second smallest value? (a) -1.535 (b) 4/21 (c) 1
b
Which is the third smallest value? (a) 0 (b) -1/8 (c) 0.1 (d) 18 (e) 56
c
What is the third smallest value in -1, 0.2, 2/9, 7/1118?
0.2
What is the third smallest value in -76711, -2/11, 0.2, 2?
0.2
What is the third smallest value in -2, -1/6, 0.01, -0.01, 1/3, 19?
-0.01
Which is the second smallest value? (a) 14 (b) -1 (c) -925
b
Which is the second smallest value? (a) 0.04 (b) 0.5 (c) -4/5 (d) 1/5 (e) -0.08 (f) -6.2
c
Which is the second biggest value? (a) 8 (b) 1/3 (c) -50 (d) -2/9 (e) -4/3
b
What is the third smallest value in 0, -26/11, 200?
200
What is the biggest value in 3, -5/3, -24704, 4?
4
Which is the second biggest value? (a) 11/2 (b) 4 (c) -10 (d) -3 (e) 0.1 (f) -0.3
b
Which is the fourth smallest value? (a) 7.79 (b) -7.3 (c) -0.1 (d) -1/3
a
What is the biggest value in -0.3, 0.3, 11369, -1/4, -5, -0.5?
11369
What is the biggest value in 10, 44, 3/5, 2/7, 1?
44
Which is the second smallest value? (a) 4/9 (b) -0.33 (c) 0.05 (d) -6
b
Which is the fourth smallest value? (a) -3/4 (b) 2/3 (c) 1/3 (d) 0.08 (e) 1
b
Which is the fifth biggest value? (a) -3 (b) 4 (c) -4 (d) -757 (e) 0 (f) -5
f
What is the smallest value in -16, 11, -1, -3?
-16
Which is the third smallest value? (a) -3241 (b) 0.2 (c) 1/3
c
What is the second biggest value in -0.4, 0.2, 2/3, 174433?
2/3
Which is the fourth smallest value? (a) -1/2 (b) -183/5 (c) -7 (d) -13
a
Which is the fourth smallest value? (a) 12 (b) 3191 (c) 0.1 (d) 0.5
b
What is the second smallest value in -1, 16/9, 6, -3, -0.5?
-1
What is the second biggest value in 1151, -3, -2/5, -146?
-2/5
Which is the fourth biggest value? (a) 147 (b) 30.2 (c) 0.1 (d) -5
d
Which is the fourth smallest value? (a) -948 (b) -5 (c) -6 (d) 0.4
d
What is the second biggest value in 1/4, 894, 0.16?
1/4
What is the third biggest value in -2136, 4, -6, 1/2, 2?
1/2
What is the fourth biggest value in 14, -2/5, -4, 4, -190?
-4
Which is the third smallest value? (a) 6/11 (b) -235/9 (c) 11
c
What is the second smallest value in 3/4, 2, 3, -0.3, -49, 49.3?
-0.3
Which is the smallest value? (a) -1/8 (b) 2 (c) -0.2 (d) 753 (e) 0.2
c
Which is the biggest value? (a) -1 (b) -2/381 (c) -0.2 (d) 5 (e) 1/7
d
Which is the smallest val
|
{
"pile_set_name": "DM Mathematics"
}
|
51764, -92026, -143792?
-5752*l**2 + 2*l - 2
What is the h'th term of 127053, 126945, 126657, 126099, 125181, 123813?
-15*h**3 - 3*h + 127071
What is the b'th term of -4658, -4669, -4684, -4703, -4726, -4753, -4784?
-2*b**2 - 5*b - 4651
What is the g'th term of -125399, -250798, -376195, -501590, -626983, -752374?
g**2 - 125402*g + 2
What is the u'th term of -2059, -2111, -2161, -2209, -2255, -2299, -2341?
u**2 - 55*u - 2005
What is the a'th term of 2308430, 2308431, 2308432?
a + 2308429
What is the s'th term of -1540, -6179, -13914, -24745, -38672, -55695?
-1548*s**2 + 5*s + 3
What is the q'th term of 6261, 25038, 56333, 100146, 156477, 225326?
6259*q**2 + 2
What is the y'th term of -50, -261, -764, -1685, -3150, -5285, -8216, -12069?
-21*y**3 - 20*y**2 - 4*y - 5
What is the k'th term of 6243, 6187, 6125, 6057, 5983, 5903, 5817?
-3*k**2 - 47*k + 6293
What is the q'th term of 48, 142, 306, 546, 868, 1278?
q**3 + 29*q**2 + 18
What is the n'th term of 48746, 97494, 146242, 194990, 243738?
48748*n - 2
What is the o'th term of -219, -440, -663, -882, -1091?
o**3 - 7*o**2 - 207*o - 6
What is the x'th term of -1459858, -1459857, -1459856, -1459855, -1459854?
x - 1459859
What is the b'th term of 42, 52, 96, 192, 358, 612, 972?
3*b**3 - b**2 - 8*b + 48
What is the g'th term of 12993, 12997, 13003, 13011, 13021, 13033, 13047?
g**2 + g + 12991
What is the s'th term of -1287, -2578, -3877, -5184, -6499, -7822?
-4*s**2 - 1279*s - 4
What is the u'th term of -153, -179, -227, -297?
-11*u**2 + 7*u - 149
What is the w'th term of 1421, 1606, 1789, 1970?
-w**2 + 188*w + 1234
What is the r'th term of -2143, -2136, -2129, -2122, -2115, -2108?
7*r - 2150
What is the q'th term of 2682, -984, -7088, -15624, -26586, -39968?
q**3 - 1225*q**2 + 2*q + 3904
What is the r'th term of -2161, -8635, -19421, -34519, -53929, -77651, -105685?
-2156*r**2 - 6*r + 1
What is the f'th term of -14761, -29523, -44285?
-14762*f + 1
What is the x'th term of 514, 559, 630, 727, 850, 999?
13*x**2 + 6*x + 495
What is the o'th term of 1397, 1377, 1357, 1337?
-20*o + 1417
What is the i'th term of -88, -384, -890, -1606, -2532?
-105*i**2 + 19*i - 2
What is the w'th term of 106, 508, 1440, 3142, 5854?
40*w**3 + 25*w**2 + 47*w - 6
What is the b'th term of -1288, -2034, -2780, -3526, -4272?
-746*b - 542
What is the x'th term of -50, -227, -526, -947, -1490, -2155, -2942?
-61*x**2 + 6*x + 5
What is the r'th term of 143, 1001, 3287, 7715, 14999, 25853?
119*r**3 + 25*r - 1
What is the v'th term of 1022, 2005, 2960, 3875, 4738, 5537, 6260?
-2*v**3 - 2*v**2 + 1003*v + 23
What is the h'th term of -155, -435, -843, -1379, -2043?
-64*h**2 - 88*h - 3
What is the q'th term of 456115, 456116, 456117, 456118, 456119?
q + 456114
What is the l'th term of -410036, -820084, -1230146, -1640228, -2050336, -2460476, -2870654?
-l**3 - l**2 - 410038*l + 4
What is the x'th term of -2428, -9748, -21962, -39070?
-2447*x**2 + 21*x - 2
What is the y'th term of 956, 984, 1012, 1040, 1068?
28*y + 928
What is the b'th term of -60066, -60222, -60378, -60534, -60690?
-156*b - 59910
What is the l'th term of 11100, 11100, 11098, 11094, 11088, 11080?
-l**2 + 3*l + 11098
What is the n'th term of -55128, -55130, -55132, -55134?
-2*n - 55126
What is the z'th term of 27128, 26812, 26498, 26186, 25876, 25568, 25262?
z**2 - 319*z + 27446
What is the j'th term of 52, 29, -66, -239, -496, -843, -1286?
-j**3 - 30*j**2 + 74*j + 9
What is the b'th term of -985, -950, -915?
35*b - 1020
What is the v'th term of 2412, 4342, 6272, 8202?
1930*v + 482
What is the x'th term of 308230, 616441, 924642, 1232827, 1540990, 1849125, 2157226?
-x**3 + x**2 + 308215*x + 15
What is the q'th term of -851, -807, -741, -659, -567, -471, -377, -291?
-q**3 + 17*q**2 - 867
What is the k'th term of 581, 1152, 1719, 2282, 2841?
-2*k**2 + 577*k + 6
What is the m'th term of 13185, 26375, 39567, 52761, 65957, 79155, 92355?
m**2 + 13187*m - 3
What is the v'th term of 3352, 13256, 29762, 52870, 82580, 118892, 161806?
3301*v**2 + v + 50
What is the o'th term of 56, -128, -400, -760, -1208?
-44*o**2 - 52*o + 152
What is the h'th term of -31442, -31455, -31468?
-13*h - 31429
What is the s'th term of -99826, -199648, -299470?
-99822*s - 4
What is the a'th term of 681, 1132, 1583, 2034?
451*a + 230
What is the u'th term of 44, 322, 1070, 2522, 4912, 8474, 13442, 20050?
39*u**3 + u**2 + 2*u + 2
What is the c'th term of -1221, -966, -713, -462, -213, 34, 279?
-c**2 + 258*c - 1478
What is the a'th term of -6238, -24920, -56042, -99592, -155558, -223928?
2*a**3 - 6232*a**2 - 8
What is the s'th term of 1642, 1731, 1820, 1909, 1998, 2087?
89*s + 1553
What is the d'th term of -13, -20, -43, -94, -185, -328, -535?
-2*d**3 + 4*d**2 - 5*d - 10
What is the h'th term of -198, -256, -368, -546, -802, -1148, -1596?
-2*h**3 - 15*h**2 + h - 182
What is the h'th term of -289, -596, -913, -1246, -1601, -1984, -2401?
-h**3 + h**2 - 303*h + 14
What is the j'th term of -6889, -6890, -6881, -6856, -6809, -6734, -6625, -6476?
j**3 - j**2 - 5*j - 6884
What is the k'th term of -3446, -5233, -7020, -8807?
-1787*k - 1659
What is the m'th term of 237, 912, 2027, 3582, 5577, 8012?
220*m**2 + 15*m + 2
What is the k'th term of -1543, -3377, -5211, -7045?
-1834*k + 291
What is the c'th term of 245, 289, 383, 551, 817, 1205?
4*c**3 + c**2 + 13*c + 227
What is the d'th term of -581, -600, -623, -650?
-2*d**2 - 13*d - 566
What is the t'th term of 13878, 55514, 124910, 222066?
13880*t**2 - 4*t + 2
What is the c'th term of 104072, 104063, 104044, 104009, 103952, 103867, 103748?
-c**3 + c**2 - 5*c + 104077
What is the z'th term of -95, -344, -723, -1226, -1847, -2580, -3419, -4358?
z**3 - 71*z**2 - 43*z + 18
What is the v'th term of 217, 628, 1039, 1450, 1861, 2272?
411*v - 194
What is the o'th term of 604872, 604874, 604878, 604884?
o**2 - o + 604872
What is the z'th term of 2892, 5759, 8626?
2867*z + 25
What is the r'th term of 168, 496, 1030, 1770, 2716, 3868?
103*r**2 + 19*r + 46
What is the v'th term of 189, 248, 395, 672, 1121, 1784, 2703, 3920?
7*v**3 + 2*v**2 + 4*v + 176
What is the q'th term of -831, -727, -623, -519?
104*q - 935
What is the i'th term of 806, 1034, 1248, 1442, 1610, 1746, 1844, 1898?
-i**3 - i**2 + 238*i + 570
What is the n'th term of 48, 164, 470, 1056, 2012, 3428?
15*n**3 + 5*n**2 - 4*n + 32
What is the w'th term of -26464, -26662, -26860, -27058, -27256?
-198*w - 26266
What is the v'th term of 951975, 951975, 951973, 951969, 951963?
-v**2 + 3*v + 951973
What is the h'th term of -34602, -34606, -34614, -34626, -34642?
-2*h**2 + 2*h - 34602
What is the h'th term of -391, -792, -1181, -1552, -1899?
h**3 - 408*h + 16
What is the w'th term of 114698, 114661, 114624, 114587, 114550, 114513?
-37*w + 114735
What is the s'th term of 491, 770, 1049, 1328, 1607?
279*s + 212
What is the k'th term of -61, -109, -217, -409, -709?
-4*k**3 - 6*k**2 - 2*k - 49
What is the t'th term of 2722, 5429, 8138, 10849, 13562, 16277, 18994?
t**2 + 2704*t + 17
What is the v'th term of 71505, 143016, 214525, 286032, 357537, 429040, 500541?
-v**2 + 71514*v - 8
What is the b'th term of -33367, -133500, -300365, -533944, -834219, -1201172, -1634785?
3*b**3 - 33384*b**2 - 2*b + 16
What is the r'th term of 7, -51, -201, -485, -945?
-7*r**3 - 4*r**2 + 3*r + 15
What is the c'th term of -510, -1073, -1686, -2349, -3062?
-25*c**2 - 488*c + 3
What is the o'th term of 9057, 9216, 9475, 9828, 10269, 10792, 11391?
-o**3 + 56*o**2 - 2*o + 9004
What is the o'th term of 74697, 74694, 74691, 74688?
-3*o + 74700
What is the h'th term of 3852, 7707, 11562, 15417, 19272?
3855*h - 3
What is the n'th term of 4101828, 4101829, 4101830?
n + 4101827
What is the j'th term of -1107953, -1107945, -1107927, -1107893, -1107837, -1107753, -1107635, -1107477?
j**3 - j**2 + 4*j - 1107957
What is the q'th term of 235, 618, 1223, 2056, 3123?
q**3 + 105*q**2 + 61*q + 68
What is the h'th term of 22, 35, 20, -35, -142, -313, -560, -895?
-2*h**3 - 2*h**2 + 33*h - 7
What is the v'th term of 2463957, 2463958, 2463959, 2463960?
v + 2463956
What is the r'th term of -44, -7, 32, 61, 68, 41?
-2*r**3 + 13*r**2 + 12*r - 67
What is the x'th term of 5086, 5093, 5106, 5125, 5150, 5181, 5218?
3*x**2 - 2*x + 5085
What is the f'th term of 847, 1720, 2591, 346
|
{
"pile_set_name": "DM Mathematics"
}
|
first derivative of 451*d**3 - 4*d**2 + 266.
1353*d**2 - 8*d
Find the third derivative of 2*a*f**3*h*i - 17*a*f**3 - 2*a*f**2*h*i - 2*a*f + f**4*h - 5*f**2 - 12*h*i - 2*h wrt f.
12*a*h*i - 102*a + 24*f*h
Find the first derivative of -13*c*i**4 - 2*c*i**2 + 7*c*l - 2*i*l - 3*i - 7*l + 2 wrt i.
-52*c*i**3 - 4*c*i - 2*l - 3
What is the first derivative of -93*j**3*p - 2*j**3 - 65*j wrt p?
-93*j**3
Find the second derivative of -11163*c*s**2 - 115*c*s + 2*c - 8*s - 2 wrt s.
-22326*c
Find the second derivative of -2124*j**2*v + 2*j**2 + 2*j*v - 11*j + 215*v wrt j.
-4248*v + 4
What is the derivative of 906*o + 45?
906
What is the first derivative of -2042*l*y**2 + 2159*y**2 wrt l?
-2042*y**2
What is the third derivative of 113*f**3 - 10*f**2 + 6 wrt f?
678
What is the third derivative of -187*f**5*v - f**2 + 67*v wrt f?
-11220*f**2*v
Differentiate k**3*q + 285*k**2*q - 740*q wrt k.
3*k**2*q + 570*k*q
What is the second derivative of -304*p**2 - 22*p + 5?
-608
What is the first derivative of m**4 + 5*m**2 - 316*m - 23833 wrt m?
4*m**3 + 10*m - 316
What is the second derivative of 11*a*t**2*z**2 + a*t**2*z - 21*a*t**2 + 2*a*t + 14*a*z**2 - t**2 wrt z?
22*a*t**2 + 28*a
What is the second derivative of -44*b*w**4 + 4*b*w - 3*b - w**4 - 19*w wrt w?
-528*b*w**2 - 12*w**2
What is the derivative of 945*l**3 - 698?
2835*l**2
Differentiate 4*a*b*k**3 + 18*a*b*k**2 - 8*a*b*k + 9*a*b + 3*a + b with respect to k.
12*a*b*k**2 + 36*a*b*k - 8*a*b
Find the third derivative of -4*o**2*p**4 + 5*o**2*p**2 - 128*o**2*p + 3010*o*p**6 + 2*o*p**2 - 3*o*p wrt p.
-96*o**2*p + 361200*o*p**3
What is the third derivative of 36*i**2*o**3 - i**2*o**2 - i**2 + 6*i*o**4 wrt o?
216*i**2 + 144*i*o
Find the second derivative of 2*g*k**2*l**2 - 19*g*k*l*y**2 - 2*g*k*l + 2*g*k - 18*g*l**2 - 2*k**2*l + k**2*y + l**2*y**2 wrt l.
4*g*k**2 - 36*g + 2*y**2
What is the second derivative of -110*p**2*x**3 + 3*p**2*x + 59*p*x + 3*x**3 - 1 wrt p?
-220*x**3 + 6*x
What is the second derivative of -2*g**3 - 7233*g**2 + 28742*g wrt g?
-12*g - 14466
What is the third derivative of -2*d**4*h*w - 138*d**4 + d**3*h*w**3 + 3*d**2*h - 3*h*w**3 + 21*h wrt d?
-48*d*h*w - 3312*d + 6*h*w**3
What is the first derivative of 118*a + 242?
118
Find the third derivative of 7*a*n**4 - 8*a*n**3 + a*n - 4*a + 2*n**4 - n**2 wrt n.
168*a*n - 48*a + 48*n
What is the derivative of -506*b*h**3 - 5*h**3 + 34*h**2 wrt b?
-506*h**3
Find the second derivative of 2*a**3*u**2 - a**2*u**3 + 169*a**2 - 3*a*u**3 + 28*a*u**2 wrt a.
12*a*u**2 - 2*u**3 + 338
Differentiate 5*v - 115 wrt v.
5
Find the third derivative of -2*a**3*p**3 - 2085*a**3*p**2 + a**3*p - 41*a**2*p - 35*p**3 wrt a.
-12*p**3 - 12510*p**2 + 6*p
What is the second derivative of -116*n**3 - 8*n**2 - 7772*n + 2?
-696*n - 16
Differentiate 6*d*n*t**2 - 2*d*n*t + d*t**2 - 275*d*t + 12*n*t**2 + 2 wrt n.
6*d*t**2 - 2*d*t + 12*t**2
What is the first derivative of 20*c**3*g - 3*c*g + 156*g wrt c?
60*c**2*g - 3*g
What is the third derivative of 346*o**5 + 1144*o**2?
20760*o**2
What is the third derivative of -6051*s**5 + 749*s**2?
-363060*s**2
Find the third derivative of 66*b**3*d*y + b**2*y - 11*d*y + d wrt b.
396*d*y
Find the first derivative of -23*c*p**3 + 4*c + 5*l*p**3 + 2*l - 1 wrt p.
-69*c*p**2 + 15*l*p**2
What is the second derivative of -1185*m**3*z**2 + 7*m**3*z - 51*m wrt z?
-2370*m**3
What is the third derivative of -b**2*h**4 - 7*b**2*h**2 + 10*b**2 + 2*b*h**6 + b*h**2 - 72*h**3 wrt h?
-24*b**2*h + 240*b*h**3 - 432
Find the first derivative of -t**3*x**2 - 1162*t**3*x - 2852*x**2 wrt t.
-3*t**2*x**2 - 3486*t**2*x
What is the first derivative of 73*t**3 + 2*t**2 + 167?
219*t**2 + 4*t
Differentiate -510*i**4 + 635.
-2040*i**3
Differentiate -508*m - 960 with respect to m.
-508
What is the derivative of 7786*c - 1178?
7786
Find the third derivative of 3*q**3*v**4 + 3*q**3 + 797*q**2*v**4 + 219*q**2*v**2 + 4*q*v**2 wrt v.
72*q**3*v + 19128*q**2*v
Find the first derivative of -5*a**4 + 2*a**3*t + 28*a - 299*t wrt a.
-20*a**3 + 6*a**2*t + 28
Find the third derivative of 12*z**6 - 171*z**5 - 156*z**2 - 2*z - 12.
1440*z**3 - 10260*z**2
What is the derivative of p*v**3 - 10*p*v**2 - 14*p - 1 wrt v?
3*p*v**2 - 20*p*v
Find the first derivative of k*v**3*x**2 + 33*k*v**3 - 17*v**3*x**2 - 2*x**2 + 1 wrt k.
v**3*x**2 + 33*v**3
Find the first derivative of -542*k**3 + k**2 - 633.
-1626*k**2 + 2*k
Find the second derivative of -642*h**5*o - 9*h*o + 3*o wrt h.
-12840*h**3*o
Find the third derivative of 211*c**5*m**3 - c**4*m**3 + 93*c**2 + m**3 wrt c.
12660*c**2*m**3 - 24*c*m**3
What is the second derivative of 20128*i**3 + 59*i + 75?
120768*i
Find the second derivative of h*p**3*q**2 - 2*h*p**3 + 85*h*p**2*q**2 - 3*h*p**2*q + 19*p**3*q wrt q.
2*h*p**3 + 170*h*p**2
What is the third derivative of -2*j**3*q**2 - 8*j**3*q*t**3 - 36*j**3*t - j**2*q**2 + 3*j**2*q*t**3 - 2*j**2*t**2 - 116*q**2*t wrt j?
-12*q**2 - 48*q*t**3 - 216*t
Find the third derivative of c*k**4 + 2*c*k**3 - 3938*c*k**2 + 4586*k**4 wrt k.
24*c*k + 12*c + 110064*k
Differentiate -266*y**3 - 8*y - 4627 with respect to y.
-798*y**2 - 8
What is the first derivative of 735*o**2 - 1473?
1470*o
What is the second derivative of 430*a**4 - 3*a**2 - 6*a + 16?
5160*a**2 - 6
Find the third derivative of 76*u**2*v**3*z - 2*u**2*v**2*z - 2*u**2*v**2 - 12*u**2*z - 2*u*v**3*z wrt v.
456*u**2*z - 12*u*z
What is the third derivative of 5*d*l**3*t**2 - 2*d*l**3 - 5*d*l**2*t**2 + 2*d*l**2*t - 2*l**2 + 3*t**2 wrt l?
30*d*t**2 - 12*d
What is the derivative of -433*a**3*c**4 + 42*a**3 + a**2*c**4 + 2*a**2 wrt c?
-1732*a**3*c**3 + 4*a**2*c**3
Find the third derivative of 42*f*y**3*z**3 + 3*f*y**3*z - f*y**2*z**2 + 5*y**3*z**2 wrt z.
252*f*y**3
What is the derivative of 3*f**2 - 10*f + 523 wrt f?
6*f - 10
Find the second derivative of 3*i**2*y**3 + 6*i**2*y**2 - 2*i**2*y - 3*i**2 + 2*y**3 + 6*y wrt y.
18*i**2*y + 12*i**2 + 12*y
What is the derivative of -1138*g**2*j**2*p + 10*g**2*j + 6*g*j**2 + 5*j**2 wrt p?
-1138*g**2*j**2
Differentiate 6278*q*t + 952*q wrt t.
6278*q
Differentiate -2*s**2*z**2 - 7*s**2*z - s*z**2 + 12*s - 8277*z**2 with respect to s.
-4*s*z**2 - 14*s*z - z**2 + 12
What is the derivative of -547*g*w*z**2 + g*w*z - g - 4*z**2 + 18*z wrt w?
-547*g*z**2 + g*z
Find the second derivative of 4532*a**4 - 1096*a wrt a.
54384*a**2
Differentiate 2*n**2 + 23*n + 318 wrt n.
4*n + 23
What is the derivative of 1097*l*n + 545*n + 1 wrt l?
1097*n
Find the first derivative of 18676*g*k + 23734*k wrt g.
18676*k
What is the third derivative of 186*j**5 + 535*j**2?
11160*j**2
What is the second derivative of 2*k**4 - 3*k**2 - 325*k wrt k?
24*k**2 - 6
Find the third derivative of 234*a**6 + 109*a**2 wrt a.
28080*a**3
Find the first derivative of -h**3 - h**2*p*v + 101*h*p**2 + 2*p**2 + p*v - 14 wrt h.
-3*h**2 - 2*h*p*v + 101*p**2
What is the second derivative of -54*d*k**3 + 2*d*k + 4*k**4 - 4*k - 77 wrt k?
-324*d*k + 48*k**2
Differentiate -5502*n*p**4 - 3*n*p - 1494*n with respect to p.
-22008*n*p**3 - 3*n
What is the third derivative of 13*r**5*z - 14*r**4 - 507*r**2 + z wrt r?
780*r**2*z - 336*r
Find the third derivative of -556*h**5*x**2 - 4*h**4 + 7*h**2*x - 5*h**2 + 13*h*x**2 + 3*x**2 wrt h.
-33360*h**2*x**2 - 96*h
Differentiate a**2*q + a**2 - 78*a*q**2 + 2*q**2 - 461 wrt a.
2*a*q + 2*a - 78*q**2
Find the third derivative of -287*n**5 - 138*n**2 wrt n.
-17220*n**2
What is the derivative of 11440*m*x + x - 269 wrt m?
11440*x
Find the first derivative of -66*l**2*o - l**2*z**2 + l**2*z - o**2*z**2 - o**2 wrt z.
-2*l**2*z + l**2 - 2*o**2*z
Differentiate -120*y**2 + 482.
-240*y
Find the third derivative of 485*c**3 + c**2 + 264.
2910
Differentiate -8*j**4*n**3 - 4*j**4*n**2 - 1437*n**3 wrt j.
-32*j**3*n**3 - 16*j**3*n**2
Differentiate 68*c*p*y - 94*c*p - 28*p*y - 8*p + 7*y wrt c.
68*p*y - 94*p
Find the second derivative of d**3*r**2*s - 2*d**3*r**2 + 2*d**3*r*s**2 - 18*d*r + d*s**2 - 2*r**2*s**2 wrt r.
2*d**3*s - 4*d**3 - 4*s**2
Find the second derivative of -80*q**3 - 2*q**2 - 3*q - 38.
-480*q - 4
What is the second derivative of -41*r**4 - 147*r wrt r?
-492*r**2
What is the third derivative of d*x**4 + 209*d*x**2 + 4*d - 872*x**4 wrt x?
24*d*x - 20928*x
What is the second derivative of 32*d**4 + 2*d**3 - 663*d?
384*d**2 + 12*d
What
|
{
"pile_set_name": "DM Mathematics"
}
|
(-2). Let k be (6/(-52))/((-6)/l). Which is the closest to 0.1? (a) x (b) 4 (c) k
a
Let f = 55 + -100. Let l = 134/3 + f. Which is the nearest to 1? (a) 1/6 (b) l (c) -0.5
a
Let p be 1 + 338/18 - 2/(-9). Let b be 11/7 - (-19 + p). What is the closest to -1/2 in 4, -12, b?
b
Let c = 282.5 - 228. Let p = c - 80. Let o = 25 + p. What is the closest to -2 in -2/5, o, -2/9?
o
Let v(x) = x - 3. Let p be v(7). Suppose -4*b + p*q + 0 = -8, 0 = b - 5*q + 6. Let t = -9.2 + 8.7. What is the nearest to -2 in b, 3/5, t?
t
Let m = 657 + -162. Suppose 9 = -3*y, -2*x - 3*x + 5*y = m. Let t be x/(-105) - 6/15. What is the closest to -1 in -1/2, t, 0?
-1/2
Suppose -5*u + 185 = -125. Let o = -64 + u. Let g = 10 + -7. What is the nearest to o in 4, g, -4?
-4
Let y = 10.7 + -13.7. What is the nearest to -1 in -2/9, -0.3, y?
-0.3
Suppose 3*w - 2*w - 4 = l, -2*w + l = -5. Suppose 0 = -163*r + 162*r - 2. Which is the closest to 2? (a) r (b) -3 (c) w
c
Let d be 10 + (1 - (-1 + 0)). Let y be d/16 - (-4)/(-6). Let w = -40.5 - -40. Which is the nearest to 0.1? (a) y (b) -4 (c) w
a
Let q = -53 - -31. Let t = 20 + q. Which is the nearest to -1? (a) -4 (b) t (c) -1
c
Let x be 7/24 + -4*(-8)/(-48). Let r(s) = s**3 + 3*s**2 + s + 4. Let f be r(-3). Let h be f/(-1) - (-27)/21. Which is the closest to -1? (a) -1/4 (b) h (c) x
c
Let v = -0.3 - -0.2. Let s = -1.732 + 114.432. Let j = s + -113. What is the closest to v in 5, j, 0.4?
j
Let d = 0.004 + 0.296. Let z = 3 + -5. Let h = -6 - -7. What is the nearest to h in z, -4, d?
d
Let o = 1.874 + -1.974. What is the closest to 1 in 0.3, -0.3, -1, o?
0.3
Suppose v + 0*n + 10 = n, -5*v = n + 74. Let k be 3 + (38/v - (-8)/(-28)). What is the nearest to k in 2, -0.4, -2/15?
-2/15
Let i = 19 - 18.1. What is the closest to -1 in i, 1, 2/13?
2/13
Let s be (-9 + 294/35)/(2/5). Let o = 5/21 + 3/7. Let i be 0 - (3 - 38/14). Which is the closest to o? (a) s (b) i (c) 0.5
c
Let t = -187 + 190. Let m be ((-4)/10)/(2/(-10)). Which is the closest to m? (a) t (b) 5 (c) 2/7
a
Let h = -5056/5 + 1011. What is the closest to 1/4 in -3, -0.7, 0, h?
0
Let c = -109/230 - -3/10. Let d = c - -66/115. Let n be -1 - (21/(-12) + 0). What is the closest to d in -1/2, n, 4?
n
Let t be 2/6*(4 - -6). Let s = t + -11/3. Which is the closest to -1? (a) -1 (b) s (c) -0.2
a
Let u be 22569*(-8)/1320 + (-2)/(-11). Let h = u - -137. What is the nearest to 0 in 5, h, -1/4?
-1/4
Let b = 120079 + -2522266/21. Let c = 88/3 + b. What is the nearest to 0 in -1/2, 0.2, c?
0.2
Let m = -1/1139 + -2273/5695. What is the closest to 4 in -0.1, 1, m?
1
Let c = -0.1 - 3.9. Let p = 5 + c. Let y = -778 - -780. What is the nearest to 0 in -3, p, y?
p
Let i = 36 - 31. Let f be 9/18 - 9/22. What is the nearest to f in 0.2, i, -3?
0.2
Let b = 143 - 147. What is the nearest to 1/3 in -1, -2/35, b?
-2/35
Let k(h) = h**3 - 14*h**2 + 23*h + 14. Let y be k(12). Which is the nearest to y? (a) 1/4 (b) 2/7 (c) -9 (d) -4
b
Suppose -2*l - 96*y + 22 = -92*y, 4*y - 24 = -4*l. Let z = 733/7 + -105. What is the closest to l in 0.2, z, -2/17?
0.2
Let p = 1 + -3. Let s = -116.8 + 113.8. What is the nearest to p in s, 2, 0.3?
s
Let y = -177/2 - -265/3. Which is the nearest to -1/3? (a) y (b) 2/65 (c) 3 (d) 4
a
Let k = -30.75 - -32. Let v = 1.35 - k. Which is the nearest to 1? (a) v (b) -1 (c) 2
a
Let v be -1 - (18/(-105))/(3/10). What is the nearest to 1 in v, 3, -2?
v
Let s = 2 + -2.4. Let p = 8.9 + -4.9. Which is the nearest to -0.4? (a) p (b) s (c) 5
b
Let r be 7 + 42/(-35) - 6. Which is the closest to -0.1? (a) 1 (b) r (c) 1/2
b
Let k = 6 + -6. Let t = 10/13 - 37/65. Which is the closest to k? (a) 2/7 (b) 4 (c) t
c
Suppose 13*u = 11*u. Let z = u + -5. What is the nearest to -1 in 1, -2/3, z?
-2/3
Let c be ((-32)/18 - -2) + 10/9. What is the nearest to -13 in -2, c, 5?
-2
Let l = 1545/4 + -386. Which is the nearest to 1? (a) l (b) -0.5 (c) -20
a
Let h = -61.96 + 0.96. Let s = -60.8 - h. Let n = -3.5 + 3. Which is the nearest to 0.1? (a) -1/8 (b) s (c) n
b
Let f = 1.939 - 1.9. Let l = 0.061 + f. What is the nearest to l in 2, -1/3, 0.1?
0.1
Let d = 2.53 + 0.57. Let n = d + 3.9. Let q = n - 11. Which is the nearest to 0.1? (a) 5 (b) 0.4 (c) q
b
Let o = -0.1 - -0.1. Let g = 0 - o. Let y = 3.56 - 3.86. Which is the closest to g? (a) 2/3 (b) -2/5 (c) y
c
Let m = -4.3 - -4.35. Let c = 0.25 - m. What is the nearest to 0.1 in -2, c, -1/2?
c
Let d = -1 - 0. Let m be ((-4)/(-16))/(10/(-5)). Which is the nearest to -0.1? (a) m (b) d (c) -4
a
Let d be (-2858)/(-56) + 8/(-28). Let k = -51 + d. Let n = 4678/13 - 360. Which is the closest to -0.1? (a) k (b) -3/8 (c) n
c
Let l = 175 - 173. Let z = 7 - 7.5. What is the nearest to 1/3 in 0.2, z, l?
0.2
Let p = -490 - -490.5. Which is the closest to -0.2? (a) p (b) -11 (c) -2
a
Let p(s) = -s + 5. Let l be p(6). Let m = 511 + -514. Which is the closest to 1? (a) l (b) m (c) -5/2
a
Let z be 2/(-3) + 3/9. Let k = -17.2 - -17. Let x = -4.4 + 3.4. Which is the nearest to x? (a) z (b) -3/5 (c) k
b
Let l = 0.2 - 0.7. Let i = -5.9 + 6.028. Let x = i + -0.128. What is the closest to x in -2, 3, l?
l
Let r = -187.3 - -187. Which is the nearest to -2/11? (a) 6 (b) r (c) -5
b
Let v = -455 - -455. Which is the nearest to -1/3? (a) -4/9 (b) -5 (c) v (d) 12/7
a
Let t(f) = -5*f**2 - 2*f - 1. Let n be t(-1). Let h = 557.83 + -561. Let k = 0.17 + h. Which is the nearest to n? (a) k (b) 3 (c) 0.4
a
Let j = -2 - -1.9. Let s be (172/473)/((-4)/2). What is the nearest to 1/2 in 1/7, j, s?
1/7
Let l = -1.84 + -0.36. Let i = 1.6 - -1. Let y = i + l. Which is the closest to -1? (a) y (b) -0.2 (c) -3
b
Let q = -27 - -27.54. Let g = q + -0.04. What is the nearest to -2 in g, -3, 0.4?
-3
Let l be ((-2)/(-2))/((-7)/189). Let f be 6/l*3 + 1. What is the closest to -2 in f, 2/7, -3?
-3
Let f = 0.62 - -46.38. Let m = f + -51.8. Let n = 0.2 - m. What is the closest to 0.1 in n, -0.3, -1/2?
-0.3
Let q = 193/4 - 48. Let l be (-14931)/693 - (-12)/22. Which is the nearest to q? (a) -2 (b) -3 (c) l
a
Let t = 73 - 71. Which is the nearest to -0.7? (a) -2 (b) -1/2 (c) t (d) 3
b
Let c = -272 - -272.5. What is the closest to 0.1 in c, -1/10, 2, 63?
-1/10
Let s be 27/(-60) - ((-32)/10)/(-4). Which is the nearest to s? (a) -0.4 (b) -1/5 (c) 1
a
Let i = 701 + -701. What is the closest to -1 in 4/3, 0.16, 3, i?
i
Let n = -468 - -473. Let k = 0.3 + -0.2. Which is the nearest to k? (a) -1 (b) 4 (c) n
a
Let w be -5 + 6 - (-50)/(-35). What is the nearest to -0.2 in w, 2, 0?
0
Let d = 25 + -35. Let o = d - -10. Let t = 0.14 - 0.04. What is the nearest to t in -1, -2, o?
o
Let q(w) = w**2 - 13*w - 7. Let y be q(11). Let z = 28 + y. Which is the nearest to z? (a) -2 (b) -1/3 (c) 0.2
b
Let j(o) = o**2 - 9*o - 4. Let a = 12 - 3. Let r be j(a). Suppose -15 = 43*k - 48*k. What is the closest to 0.1 in k, r, 4?
k
Suppose 3 = -19*u + 20*u. Suppose 2*x - 5*t - 21 = -6, 0 = u*t + 3. Which is the closest to 0.1? (a) x (b) -2/17 (c) -0.02
c
Let i = 3719 - 11155/3. Let s(l) = l. Let h(y) = y**2 - 3*y + 7. Let u(o) = -h(o) + 5*s(o). Let a be u(6). What is the nearest to 0.2 in i, a, -1/4?
-1/4
Let c be 2*2 + (-7 - -6). Suppose -3*a - 3*v = -12, -c*v + 3 = a - 3. Let d = 18 + -19. What is the nearest to -1 in d, a, -0.4?
d
Let z = -955.6 + 956. Which is the closest to -0.01? (a) -0.1 (b) z (c) -1/8 (d) -4
a
Let h = 105.7 - 155. Let p = 49 + h. What is the closest to -0.3 in -1/3, p, -1/2?
p
Let s = 0.27 + -0.77. Let m = -11 - -16. Let f = m - 6. What is the closest to f in s, 0.2, 0.3?
s
Let f = -256 - -256.1. Which is the nearest to -0.1? (a) f (b) -18 (c) -4
a
Let p = -0.082 + 0.054. Let z = p + -0.062. What is the nearest to -1 in -2/3, -1, z?
-1
Let r = 24 - 19. Let i = r + -5.1. Which is the closest to i? (a) 0 (b) 0.2 (c) 4
a
Let h = -24 - -23.5. Let g = -0.2 + -3.8. Let w = g - -4.4. Which is the closest to -1/4? (a) w (b) h (c) -2
b
Let a = -6 - -37. Suppose a = -3*x + 1. Let s = x + 11. What is the closest to -2/9 in 3, s, 0.4?
0.4
Let f = 3.8 + -3. Let d = -3.2 + 4.1. Let u = f - d. Which is the closest to u? (a) -2/3 (b) -2 (c) 0.4
c
Suppose -5*j - p - 12 = 0, 2*j = 4*j + 5*p + 14. Let q be (j/(-1) + 5
|
{
"pile_set_name": "DM Mathematics"
}
|
**4/8 + 11*i**3/6 + i**2. Suppose -j = 5*t + 17, 5*t = 3*j + t + 32. Is b(j) a composite number?
True
Suppose 139 = m + 6. Let t = m - 95. Let u = t + 39. Is u prime?
False
Suppose 5*p = -5*t + p + 11, -4*t - 5*p = -7. Suppose -2*s + 1 = -t. Suppose 4*m + 26 = s*d, 2*d + 3 = -5*m - 16. Is d prime?
True
Let c(g) = 2*g. Let z be c(1). Suppose -z = 5*y - 4*t, -t - 2*t = y - 11. Is (-211)/(-4)*(2 + y) a composite number?
False
Let h = 3 - 2. Is 2/(h + (-57)/63) prime?
False
Suppose -2*l + 9 = -2*q + l, 7 = 4*q - l. Let y(i) = 8*i + 3. Let k be y(q). Let m = k - -50. Is m a prime number?
False
Let k(u) = 4 - 8 - 11*u - 18. Is k(-9) a prime number?
False
Let z(b) = 26*b**2 - 4*b + 13. Is z(7) prime?
True
Let d(u) = -14*u - 3. Suppose -5*f - 1 = 9. Is d(f) composite?
True
Let s(y) be the second derivative of 33*y**5/5 + y**3/3 - y**2/2 + 4*y. Is s(1) prime?
False
Let q be 0/(-1 + 0/(-1)). Suppose 2*g - 433 - 81 = q. Suppose 2*d - d = g. Is d composite?
False
Let a(z) = z**3 - z. Let b(t) = -t - 5. Let g be b(-7). Is a(g) prime?
False
Let h(d) = -16*d + 11. Let u(x) = -x**2 + 64*x - 45. Let j(k) = -9*h(k) - 2*u(k). Is j(-12) a composite number?
True
Let s(u) = -u**2 + 5*u + 1. Let p be s(5). Suppose 2*d + p - 5 = 0, 0 = 3*c + 3*d - 21. Suppose 4*y = -c*w + 220, 3*w - 110 = -2*y - w. Is y a prime number?
False
Suppose -13*c + 1655 = -8*c. Is c a prime number?
True
Suppose -295 = -4*l + 237. Suppose -t = -16 - l. Is t composite?
False
Let q be 16/72 + 8168/18. Suppose 2*h = 208 + q. Is h prime?
True
Suppose -4*l + 117 = 17. Let b = 152 - l. Is b a composite number?
False
Suppose 0*q + 4*q = 3*p - 69, -2*q = 0. Is p composite?
False
Let v = 267 - -72. Is v prime?
False
Suppose f + 3*j - 92 = -431, -j - 5 = 0. Let d = -197 - f. Is d composite?
False
Let x = 27 - 17. Let n be (-96)/x*35/(-7). Suppose n = 5*h + 13. Is h a composite number?
False
Suppose 4 - 12 = -4*y. Suppose 44 + 75 = r + 5*s, -r - y*s = -104. Suppose r = -4*t + 458. Is t composite?
True
Suppose 5*p = w + 11, -3*w + 7*p - 33 = 4*p. Let c = w + 36. Is c a composite number?
True
Let z = -1140 - -2047. Is z a composite number?
False
Let l = 206 + -116. Let x be ((-56)/(-12))/(3/l). Suppose 46 + x = 2*s. Is s prime?
False
Let u = -94 + 192. Suppose 0*t = -5*t. Suppose t = -h - 3*z + 49, u = 3*h - 4*z - 49. Is h a composite number?
True
Suppose -4*o + 92 = -n, o + 2*n = 24 - 1. Is o prime?
True
Suppose 31 + 9 = -2*g. Is (-2)/(-8) - 215/g prime?
True
Suppose -2*m + 1012 = 8*a - 4*a, -a + m + 247 = 0. Is a a prime number?
True
Suppose -f = 4*f - 455. Is f composite?
True
Is 39/(-30)*-72 + (-6)/(-15) a composite number?
True
Suppose 0 = -5*y - 15, -5*b = -0*y + y - 1507. Suppose 162 = -4*c - 5*w + 1415, 0 = -c - 5*w + b. Is c prime?
True
Suppose -5*p + 3357 = -y, -p + 667 = -0*p + 2*y. Is p a prime number?
False
Suppose 2 = -2*q + 10. Suppose 0 = -q*d + d + 447. Is d prime?
True
Let b = 3 - 0. Suppose -69 = 2*a - 7*a + 3*m, -2*a - b*m + 15 = 0. Is 4/6 + 556/a composite?
False
Suppose 0 = -4*x + 51 + 329. Suppose p + 3*q = x, p = 3*q - 0*q + 83. Is p composite?
False
Let x(n) = 15*n**2 + 5*n - 1. Is x(-11) a composite number?
False
Let d be 4098/(-33) + 2/11. Let h = 177 + d. Is h a prime number?
True
Let v(m) = -m**3 + 3*m**2 + 2*m. Let h be v(4). Let w(r) = -r**3 - 2*r**2 - 5*r - 5. Is w(h) composite?
False
Suppose 3*y = 4*y + 1444. Let n = -485 - y. Is n a composite number?
True
Let p(o) = 37*o - 14. Let f = 5 + 4. Is p(f) a composite number?
True
Suppose 0*p - 3647 = -7*p. Is p a prime number?
True
Let f(m) = -5*m**3 - 2*m**2 + 1. Let z be f(1). Let d be (-52)/(-14) + z/(-21). Suppose -d*c - 25 + 157 = 0. Is c a prime number?
False
Let a(p) = -p - 5. Let h be a(-6). Let y(z) = -13*z**3 + z**2. Let i be y(h). Let d = 31 + i. Is d a composite number?
False
Is 4556/6*12/8 prime?
False
Suppose 2*s + 5*j - 73 = -22, 49 = 2*s + 3*j. Is s a prime number?
True
Suppose 0*m - m - 8 = -3*l, 5*l = 3*m + 24. Let o be (0 - (-1)/(-2))*m. Suppose -16 = o*t, 0 = 4*x - 2*t - 0*t - 44. Is x prime?
False
Suppose 0 = 3*w + 3 + 6. Let u = w + 5. Suppose -u*s + 5*s = 117. Is s a composite number?
True
Suppose 2*s - s = 3. Is 1/s - 140/(-3) a composite number?
False
Suppose -b + 3*b - 164 = o, -4*o = 4*b - 340. Is b prime?
True
Let c = 10 + -3. Suppose -4*z = -2*g - 4, 3*g - c*g = 4*z - 40. Suppose g = p - 16. Is p prime?
False
Suppose -4*n + 2*r + 12 = 2, -3*r = -4*n + 15. Suppose -h + 37 = -n. Is h a composite number?
False
Let m = 1270 + -579. Is m a prime number?
True
Suppose -2*x = -y - 6, -2*y + 4 = 5*x + y. Suppose 805 = 3*d + x*d. Is d composite?
True
Let b = -292 + 941. Is b a prime number?
False
Let p(v) = -v**3 + 3*v**2 + v. Let u be p(3). Let n = 50 - u. Is n a composite number?
False
Suppose 4*v + 5*a = 112, -5*a + a = 5*v - 131. Suppose 2*s - 117 = -v. Let m = 102 + s. Is m a prime number?
True
Let f be (-1)/((6/250)/(-3)). Suppose -2*z = -4*x - 58, -4*z - 5*x + f = -30. Is z a composite number?
True
Suppose -2*x - 7 = -5*v + 18, 2*v - 3*x = 10. Is 1 - v - (-414)/2 a composite number?
True
Let x = -1292 + 4146. Is x prime?
False
Let g(i) = 12*i - 7*i**2 - 8 - 2*i**2 - 2*i**3 + 3*i**3. Let q be g(8). Let n = 43 - q. Is n composite?
False
Let g(w) = -w**2 - 4*w - 3. Let y be g(-3). Suppose 0 = 2*v + c - 4, 5*v + c = -y*v + 16. Suppose 288 = v*q + 52. Is q prime?
True
Is (502/8)/(119/56 + -2) prime?
False
Suppose -2*z + 746 = -4*x, 0 = 3*x - 0*x + 2*z + 542. Let n = x - -343. Is n prime?
False
Let y(p) = 15*p + 25. Is y(26) prime?
False
Let n = -148 + 213. Suppose -4*h + 0*h + 140 = 4*w, 2*h + w - n = 0. Let v = h + -11. Is v prime?
True
Let k(r) = r. Let u be k(-3). Let b(j) be the third derivative of j**5/12 - j**4/12 + j**3/3 - j**2. Is b(u) a prime number?
True
Let u(m) = 3*m**2 + 7*m + 9. Let j = 10 - 18. Let c = j + 0. Is u(c) a prime number?
False
Let n(v) = 3*v**2 + 9*v + 29. Let j(r) = 5*r**2 + 13*r + 44. Let k(u) = -5*j(u) + 8*n(u). Let a be k(9). Is (4/a)/((-4)/522) a composite number?
True
Let c(r) = 4*r**2 - 3*r - 2. Let l be c(4). Suppose 82 = 4*j - l. Suppose 4*b = -j + 493. Is b a composite number?
True
Suppose 0 = -3*a - v + 3, 2*v - 5*v = -9. Suppose -5*m + 14 + 1 = a. Suppose j = -m*l + 30, -2*l - 3*j = -5*l + 42. Is l a prime number?
True
Let g = 9032 - 5995. Is g a composite number?
False
Suppose 4*b - 2*r = 2222, -b - 4*r - r + 572 = 0. Is b a composite number?
False
Let c(l) = 61*l - 12. Is c(5) a composite number?
False
Suppose 0 = l - 3*k + 4, 2*k - 2 + 11 = 3*l. Suppose l*j = 2*z - 103 - 84, -2*z + 186 = -4*j. Is z prime?
False
Let y(u) = u**3 - 9*u**2 + 7*u + 8. Let r be y(8). Suppose 4*h + 10 - 30 = r. Suppose -5*n + 34 = t, 2*t = 3 - h. Is n prime?
True
Let m(o) = 65*o**2 - 2*o + 3. Suppose 4*s = b + 11, -s + 0*b + 14 = -4*b. Is m(s) prime?
False
Let p = -7 - -15. Suppose -d - 3*d - 418 = 2*b, 0 = -5*d - 5*b - 520. Is d/(-20)*p/2 composite?
True
Let b be (0/3)/(1 + 1). Suppose 0*i + 3*q = -i + 225, -i + 2*q + 210 = b. Let w = i + -137. Is w composite?
False
Let f(d) = 13*d**3 + 7*d + 3. Is f(4) a prime number?
True
Suppose 5*z - w + 0*w = 20, -5*z + 5*w = -20. Suppose -2*u + v = 5*v + z, -4*u + 3*v = -3. Is (0 - (1 - u))*-13 a prime number?
True
Let p(i) = -6*i**3 + i**2 - i - 1. Let n be p(-1). Let v(w) = n*w + 4 + w**2 + 0*w - 2*w**2. Is v(7) a prime number?
False
Suppose 0 = -3*m + 3, p + 4*m = -2*p + 1. Let c = p + 383. Is (-2)/4 - c/(-4) prime?
False
Is (-9406)/(-2) + (2 + 3 - 9) a composite number?
True
Let u be (3 + 0)/((-3)/(-2)). Suppose 26 + 24 = u*y. Let i = y - 2. Is i a composite number?
False
Suppose -o - 2*o = -429. Is o composite?
True
Let j be 10*((-45)/(-2) - 0). Let t = j - -76. Is t prime?
False
Suppose 0 = -5*k - 2*a + 955, 3*k - 3*a = -a + 573. Is k a prime number?
True
Suppose -p = 2*a + 7, -4*a + p - 18 = -7. Is (2/a)/((-2)/1527) a composite number?
False
Suppose 21 = 5*f - 29. Let b = 13 - f. Is b prime?
True
Let l(d) = 12*d**2 - d + 6. Let p be l(5). Let t be 4/(-8)*0/(-1). Suppose t*g + p = g. Is g a composite number?
True
Let s(y) = -11*y**2 - 2*y + 3. Let u be s(1). Suppose 0 = -g + j - 20 + 3, 0 = -2*j + 2. Let o = u - g. Is o composite?
True
Is -2*(-1 + 582/(-4)) a prime number?
True
Suppose -5*x + 72 = q, 0*q + 273 = 4*q + 5*x. Is q prime?
Tr
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{
"pile_set_name": "DM Mathematics"
}
|
= -l**2 + 5*l + 7. Let r be g(5). Let h(n) = -4*n - 4*n - 1 + 13*n. Let o(s) = 11*s - 2. Suppose 2 = 5*x + 17. What is r*h(b) + x*o(b)?
2*b - 1
Let v(j) = -j**2 + j - 1. Let f(a) = -28*a**2 - 6*a + 8. What is f(i) + 6*v(i)?
-34*i**2 + 2
Let s be (2/4)/(1/2). Let a = -5 + s. Let j(i) = i**2 + 4*i + 5. Let f(d) = d + 1. What is a*f(u) + j(u)?
u**2 + 1
Let s(u) = 15*u + 4. Let z(v) = 209*v + 57. What is -57*s(t) + 4*z(t)?
-19*t
Let i(u) = -u**2 + 3*u + 3. Let x(m) = -m**2 + 4*m + 4. Let f = 27 + -31. Determine f*i(j) + 3*x(j).
j**2
Let r(l) = 2*l**3 - l**2 - 5. Let j(o) = 2*o**3 - o**2 - 4. Give -4*j(b) + 3*r(b).
-2*b**3 + b**2 + 1
Let l be (-8)/3 - (-2)/3. Let f be -1 + 0 - 8/l. Let j(r) = 10*r**2 - 14*r - 14. Let w(u) = -2*u**2 + 3*u + 3. Give f*j(n) + 14*w(n).
2*n**2
Let t(j) = j**2 - 5*j - 7. Let x = 21 + -13. Let d(k) = -k**2 + x*k - 3*k - k + 6. Suppose 4*i + i - 35 = 0. Determine i*d(l) + 6*t(l).
-l**2 - 2*l
Suppose -3*u = 25 + 2. Let f = -5 - u. Let d(p) = -p - 3*p + 5 - p. Let x(b) = 11*b - 11. Calculate f*x(v) + 9*d(v).
-v + 1
Let q(o) = -4*o**3 + 2*o + 8. Let k = 28 + -33. Let m(r) be the first derivative of 3*r**4/4 - r**2 - 7*r + 1. Give k*q(b) - 6*m(b).
2*b**3 + 2*b + 2
Let l(w) = 7*w - 1. Let k(h) = 15*h - 3. Let u(n) = 4*k(n) - 9*l(n). Let p(v) = 8*v + 8. What is -4*p(c) - 11*u(c)?
c + 1
Let j(l) = l - 8. Let f be j(-8). Let b = f + 11. Let k(g) = -2*g**3 + g**2 + 6. Let n(z) = 3*z**3 - z**2 - 7. Calculate b*k(s) - 4*n(s).
-2*s**3 - s**2 - 2
Let v(u) = -2*u. Let p(b) = -1. Let r(s) = s - 20. Let d be r(19). What is d*v(t) - 2*p(t)?
2*t + 2
Let d(w) = w**2 + 3*w + 2 + w + 0. Let a be d(-3). Let u(c) = -3*c + 1. Let s(v) = v. Determine a*u(i) - 2*s(i).
i - 1
Let j(f) = -2*f**3 + 2*f**2 + 3*f + 2. Let p(a) = 2*a**3 - 3*a**2 - 3*a - 3. Calculate -3*j(l) - 2*p(l).
2*l**3 - 3*l
Let r(j) = -8*j**2 + 2*j - 2. Let u(o) = -7*o**2 + 3*o - 3. Calculate 3*r(x) - 2*u(x).
-10*x**2
Let f = -2 - -5. Let w(o) = -4 - 1 + o**3 - 2*o - 2*o**2 + f. Let n(r) = -r - 1. Suppose 0 = 4*h + 3 + 1. What is h*w(y) + 2*n(y)?
-y**3 + 2*y**2
Let o(r) = 4*r**3 - 4*r**2 - 5*r - 2. Let m(l) = 5*l**3 - 4*l**2 - 6*l - 3. Determine 5*m(x) - 6*o(x).
x**3 + 4*x**2 - 3
Let w(x) = 47*x**2 - 5*x + 5. Let o(b) = 48*b**2 - 6*b + 6. Calculate -5*o(a) + 6*w(a).
42*a**2
Let k(d) = -d**3 - d**2 - 2*d. Let h(g) = -5*g**3 - 4*g**2 - 9*g + 1. Let l(x) = x**2 + 8*x - 1. Let r be l(-4). Let i = 8 + r. Determine i*k(z) + 2*h(z).
-z**3 + z**2 + 2
Let h(x) be the second derivative of -7*x**4/12 + 5*x**3/6 + 5*x**2/2 + x. Let c(y) = 3*y**2 - 2*y - 2. Let r be (1 - 3/2)*20/(-2). What is r*c(j) + 2*h(j)?
j**2
Suppose -4*y + 10 - 4 = 2*j, 0 = 4*y. Let w(x) = 4*x**2 - x + 1. Let r(s) = 5*s**2 - s + 1. Give j*r(a) - 4*w(a).
-a**2 + a - 1
Let y(m) = 7*m**2 - 9*m + 3. Let c(q) = 4*q**2 - 5*q + 2. Let j be 24/16 - 3/(-2). Determine j*y(l) - 5*c(l).
l**2 - 2*l - 1
Let s(k) = -4*k + 1. Let o(r) = -2 + 6 - r - 3*r - 3. Give 4*o(u) - 5*s(u).
4*u - 1
Let n(f) = 10*f + 7. Let r(m) = -2 + 4*m - 7*m - 2 + 2. Give -6*n(l) - 21*r(l).
3*l
Let f(u) = 6*u. Let k(v) = -v**3 - 2*v**2 - 1. Let i be k(-3). Let w(r) = -9*r. Calculate i*f(b) + 5*w(b).
3*b
Let t(u) = 21*u**3 + 16*u**2 - 5*u + 25. Let f(x) = -4*x**3 - 3*x**2 + x - 5. What is -11*f(q) - 2*t(q)?
2*q**3 + q**2 - q + 5
Suppose 3*d = 5*j - 33, 2*j + 7 = 3*j - d. Let f(g) = -g**2 + 4*g - 2. Let l(s) = 2*s**2 - 5*s + 3. Give j*f(q) + 4*l(q).
2*q**2 + 4*q
Let s(k) = k**3 + 12*k**2 + 11*k - 4. Let w be (-1)/(-4) + (-180)/16. Let v be s(w). Let g(z) = -7*z - 4. Let f(a) = 13*a + 7. Determine v*f(r) - 7*g(r).
-3*r
Let a(m) = -3*m**2 - 4*m. Let o(d) = d**2 + d. Let t be 2/(-4) - (-3)/(-2). Give t*o(g) - a(g).
g**2 + 2*g
Let x(c) = 19*c**3 - c**2 + 5*c - 4. Let p(a) = 10*a**3 - a**2 + 3*a - 2. Calculate 5*p(i) - 3*x(i).
-7*i**3 - 2*i**2 + 2
Let j(q) = -q**3 - q**2 - q + 1. Let r(t) = -4*t**3 + 40*t**2 - 5*t + 5. Give -5*j(l) + r(l).
l**3 + 45*l**2
Let a(w) be the first derivative of 0*w + 3 - 1/2*w**2. Let j(v) = v**3 + v. Determine a(q) + j(q).
q**3
Let w(s) = -4*s - 7. Let x(c) = -c. Calculate -w(t) + 6*x(t).
-2*t + 7
Let y(k) = 5*k**2 + 2*k - 6. Let u(g) = -5*g**2 - 2*g + 5. Give -3*u(i) - 2*y(i).
5*i**2 + 2*i - 3
Let i(h) = 2*h + 0*h + 4*h**3 - 5*h**3 - 2*h**2 - h**2. Let c(t) = -4*t**3 - 10*t**2 + 7*t. Calculate 2*c(m) - 7*i(m).
-m**3 + m**2
Let z(n) be the third derivative of n**5/10 + n**4/8 - 7*n**2. Let h(w) = -w**2 - w. What is 4*h(d) + z(d)?
2*d**2 - d
Let z(b) = -b - 1. Let j(q) = -3*q + 11. Let v be j(2). Let f(h) = 4*h**3 + 5*h + 5. Calculate v*z(w) + f(w).
4*w**3
Let p(d) = -5*d**3 + 2*d - 3. Let m(t) be the first derivative of 9*t**4/4 - 3*t**2/2 + 5*t + 9. Calculate -3*m(v) - 5*p(v).
-2*v**3 - v
Let c(s) be the first derivative of 4*s**3/3 + s**2/2 - 6*s + 8. Let v(b) = b**2 - 1. Give -c(h) + 6*v(h).
2*h**2 - h
Let n(y) = y**3 + y**2 - y + 1. Suppose 0 = -3*m - 0 + 3. Let a(g) = g**2 + g + 3. Determine m*n(u) - a(u).
u**3 - 2*u - 2
Let d be 793/156 + (2 - 7). Let f(p) be the second derivative of 0 + 0*p**2 + d*p**4 - 3*p - 1/2*p**3. Let u(a) = -a**2 + 2*a. Determine -2*f(s) - 3*u(s).
s**2
Let j(o) be the second derivative of o**2/2 + o - 17. Let d = 4 + -1. Let s(u) = -u - 3. Give d*j(h) + s(h).
-h
Let x(j) = -4*j - 1. Let k(g) = g - 1. Let z(y) = 11*y - 5. Let l(m) = -6*k(m) + z(m). Determine 5*l(a) + 6*x(a).
a - 1
Let q(r) = 6*r**2 - 9*r. Let w(x) = 3*x**2 - 5*x. Let b(v) = -3*q(v) + 5*w(v). Let j(n) = 21*n**2 - 15*n. Give -15*b(h) - 2*j(h).
3*h**2
Let a(u) = -4 + 3 - 2*u**2 - u**3 + u**2. Let z(l) = 0*l**3 - l**3 + 0*l**2 + l**2. What is a(b) + z(b)?
-2*b**3 - 1
Let r(p) = -2*p**2 + 5*p - 3. Let k be 2*(-3)/4*-2. Let l be (-6)/(1 - (-15)/(-6)). Let a(s) = -1 + k*s + l*s - s**2 - 6*s. Determine 3*a(u) - r(u).
-u**2 - 2*u
Suppose 2*z + z = -4*m - 16, 0 = 3*m - 2*z - 5. Let f(a) = -2. Let v = -36 - -38. Let j(s) = -s - 1. Determine m*f(i) + v*j(i).
-2*i
Suppose -5 = -m + 3*t, -m = -t - 3*t - 6. Let w(l) = 5*l + 2*l + 1 - 2*l + 4*l**m. Let y(x) = 6*x**2 + 7*x + 1. Suppose 5*c + 53 = 18. What is c*w(n) + 5*y(n)?
2*n**2 - 2
Let w(l) = 4*l - 2. Let o(s) = 4*s - 1. Determine -4*o(q) + 3*w(q).
-4*q - 2
Let w(j) = -j - 1. Let r(n) = 2*n**2 - 6*n - 8. Let k(x) = -x**2 - 7*x - 6. Let u be k(-7). Calculate u*w(q) + r(q).
2*q**2 - 2
Let r(l) = -3*l - 2. Let w(j) = -4*j - 2. Calculate -3*r(p) + 2*w(p).
p + 2
Let s(j) = -6*j - 7. Let m(f) = -7*f - 8. What is -4*m(q) + 5*s(q)?
-2*q - 3
Let c(w) = -1. Let b(j) = -26*j - 6. Give -b(i) + 6*c(i).
26*i
Let v(s) = -s**2 + s. Let q(b) = -3*b**2 + 2*b - 5. What is q(f) - 2*v(f)?
-f**2 - 5
Let g(u) = 2*u**2 + 2*u - 3. Let x(h) = 6*h**2 + 6*h - 10. What is -11*g(m) + 4*x(m)?
2*m**2 + 2*m - 7
Let i(t) = -63*t. Let c(p) = 9*p. What is -15*c(w) - 2*i(w)?
-9*w
Let s(r) = 3*r - 3. Let d(l) be the second derivative of -l**5/20 - l**3/3 + l**2 - 6*l - 1. Determine 3*d(x) + 2*s(x).
-3*x**3
Let f(r) = -15*r. Let l(w) = -1. Determine f(s) - 4*l(s).
-15*s + 4
Let v(z) = -z**3 - z - 1. Let q(t) = 3*t**3 - 5*t - 5. Calculate -q(x) + 5*v(x).
-8*x**3
Suppose 2*u + 3*a = -0*u, 0 = -2*u - 5*a + 8. Let l(j) = 3*j + 17. Let c(i) be the third derivative of -i**4/24 - i**3 + 2*i**2. Calculate u*l(q) - 17*c(q).
-q
Let w(k) = -5*k + 7. Let z(f) = -3*f + 4. What is -4*w(a) + 7*z(a)?
-a
Let c(s) be the second derivative of 5*s**4/12 + 3*s**3/2 - s**2/2 + 5*s. Let p(v) = -v**2 - 2*v. Give 2*c(d) + 9*p(d).
d**2 - 2
Let v(o) = -7*o**3 + 5*o**2 - o + 1. Let m(n) = 8*n - 7*n - 6*n**2 + n**3 - 1 + 11*n**3 - 4*n**3. Determine -5*m(c) - 6*v(c).
2*c**3 + c - 1
Let w(u) = -3*u - 6. Suppose 0 = b - 3*b + 10. Let g(s) = -13*s - 19. Let p(k) = 7*k + 10. Let n(f) = -3*g(f) - 5*p(f). Calculate b*w(t) + 4*n(t).
t - 2
Let x be 2/(-6) - 105/9. Suppose -l = l + 2. Let i(w) = w - 1. Let j(f) = -14*f + 14. Give l*j(d) + x*i(d).
2*d - 2
Let c(d) = d. Let g(x) = 4*x. Let b be (-1 + (-4)/16)*-4. What is b*c(m) - g(m)?
m
Let t(r) = r + 2. Let a be (-4 - -1)/(-9)*(0 - 6). Let x(h) = -25*h - 7. Let u(l) = -4 - 2*l - 4*l + 2. Let s(k) = 26*u(k) - 6*x(k). Calculate a*s(y) - 11*t(y).
y - 2
Let f(c) = 5*c**2 - 14 + 20 + 9*c**3 - c - 6*c. Let u(m) = -8*m**3 - 4*m**2 + 6*m - 5. Calculate -6*f(h) - 7*u(h).
2*h**3 - 2*h**2 - 1
Let y(z) = -6*z - 11. Let o(s) = -4*s - 7. Let
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{
"pile_set_name": "DM Mathematics"
}
|
2 - 19*j - 15. Let a be f(-18). Suppose 2*l + 12 = 2*v, -2*v + 16 - 2 = -a*l. Let y(u) = 24*u**3 + 7*u**2 + 3*u - 3. Is y(v) a composite number?
False
Let w be ((-4)/9)/(2/(-9)). Let h(p) = 14*p**3 + 2*p. Let y be h(w). Suppose -114 = -r - 5*u, r - 2*u + 9 = y. Is r prime?
True
Let n be (43*1/(-2))/((-6)/(-408)). Let p = n - -353. Is (-6)/(-36) - p/6 composite?
True
Let k be 9 + 2 - (-5 - (2 - 6)). Let c be (1 - 10/k) + (-20661)/(-18). Suppose 10149 = 13*d - c. Is d a composite number?
True
Let u = -292 - -298. Suppose 11112 - 3540 = u*b. Is b prime?
False
Let q be 18/(-21) + -1*3/21. Is 1/(-4*q/8516) a prime number?
True
Let q(a) = -a**3 + 17*a**2 + 2*a - 37. Let k be q(17). Let u be 3*(k/(-6) + (-25)/(-30)). Is -4049*4*(-1)/u prime?
True
Let q(y) = 24*y**2 + 5*y - 4. Let i be q(-5). Suppose 3*o - 897 = 3*m, -3*o + 314 = -m - 5*o. Let k = i + m. Is k a prime number?
False
Is (35702877/(-46) + 2)/(5/(-2)) prime?
True
Let f(p) = p**2 - 46*p + 35. Let n(w) = -w**2 + 47*w - 34. Let d(x) = -5*f(x) - 4*n(x). Is d(20) prime?
True
Let f(k) be the second derivative of k**4/12 + 8*k**3/3 - 20*k**2 - 8*k. Let a be f(-18). Let v(w) = 20*w**2 + w - 9. Is v(a) prime?
True
Let n(d) = -10*d**2 - 4*d. Let z be n(6). Let b be z/4 - (-12)/3. Is (b/8)/(2/92*-1) composite?
True
Let x be (-2)/(-11) + (7499037/143 - 7). Suppose 5*l - t = x, 5*l + 2*t - 67378 = -14941. Is l composite?
False
Let v(z) = 11249*z**2 + 28*z - 80. Is v(3) a composite number?
True
Let v(g) = -124*g**2 - 7*g + 93683. Is v(0) prime?
True
Let x(y) = 60*y - 1349. Is x(66) a composite number?
True
Let v = 35 - 20. Let u = 20 - v. Suppose 0 = -u*o + 1204 + 51. Is o prime?
True
Let m(s) = -7*s**3 - 22*s**2 - 19*s - 23. Let i(g) = -20*g**3 - 67*g**2 - 58*g - 70. Let r(c) = -6*i(c) + 17*m(c). Is r(-18) a prime number?
True
Let x = 41224 - -117639. Is x prime?
True
Let j = 26981 - -27636. Is j a prime number?
True
Suppose 2*m = -5*o + 9, 0 = -3*o - 2*o - 4*m + 3. Suppose -o*p - 4*p = -2107. Is p composite?
True
Let y = 71511 + 643316. Is y composite?
False
Suppose -3*s - 2*x + 3855839 = 0, 4*s - 2919664 - 2221452 = -2*x. Is s a prime number?
False
Let u = 28037 + 58503. Suppose 13*q + 7*q - u = 0. Is q a composite number?
False
Let b(h) = -5719*h**3 - 3*h**2 - 2*h - 1. Is b(-2) prime?
False
Suppose 581 = -5*n - u, 0*u - 4*u + 484 = -4*n. Let l be (-4)/18 - 158795/n. Suppose -2*r = -3*r + l. Is r prime?
False
Let t(a) = a**2 - a**3 + 11 - 11*a + 2*a**2 + 32. Is t(-11) composite?
True
Suppose -19*u + 123 = 47. Suppose 3*k + u*n - 28745 = 0, 3*k = -k - n + 38344. Is k composite?
False
Let z(h) = -h + 14. Let v be z(11). Suppose -5*j + 0*f + 6335 = 4*f, -v*f = -3*j + 3801. Let k = j - -574. Is k a prime number?
False
Let k(u) = 4261*u + 21. Let f be k(9). Suppose 2*p + 4 = 0, -5*t + f = 6*p - p. Suppose -5*o + t = -o. Is o prime?
False
Let m be 0*((-1)/(-2) + 1/(-1)). Suppose m = 5*f + l - 12, 2*l + 2*l = -4*f. Suppose 0 = 8*v - 4*v + 5*p - 14592, -f*v = 3*p - 10947. Is v a composite number?
True
Let q(d) = -289*d**3 + 7*d**2 - 6*d - 16. Let g be q(-7). Suppose -7*t + g + 146869 = 0. Is t a composite number?
True
Let q = 271 - 265. Let a(i) = 27*i**3 - i**2 - 4*i - 17. Is a(q) a prime number?
False
Suppose 83*x - 50*x = 39*x - 673572. Is x prime?
False
Let p = -32 + 36. Let k be (-1895)/p + (-8)/32. Let d = k + 737. Is d a composite number?
False
Suppose -2*g + 37 = 3. Suppose g*p + 159401 = 60*p. Is p a composite number?
True
Let a(n) = 9*n**3 - 12*n**3 + 10*n**2 + 31 + 0*n**3 - 12 + 10*n. Let k be a(-8). Suppose 2*h + h - 1262 = -4*c, 5*c = 5*h - k. Is h a composite number?
True
Let w = 682 + -705. Is (w + 25)/((-4)/(-3702)) prime?
False
Let f be (-4)/14 + (-23)/(-7). Let o be (-20)/(-6) - 36/(-54). Suppose 0 = l - 3*l - o*p + 2402, -12 = -f*p. Is l a prime number?
True
Let c(z) = 164*z + 2878. Is c(77) composite?
True
Let x be 3/(-5) + 1 + (-54)/(-15). Suppose 4*z = -2*i - 1 - 5, 0 = x*i + 20. Is (-293)/(1*(0 - z)) composite?
False
Let h(w) = -6*w + 193. Let o be h(32). Is ((-132401)/(-217))/(o/7) a prime number?
True
Is 388794 + -2*(-70)/(-28) a prime number?
True
Let h(l) = -607*l**3 - 3*l**2 + 21*l + 51. Is h(-2) a composite number?
True
Let d(k) = -142*k - 59. Let m(i) = i**2 + 11*i + 14. Let h be m(-8). Is d(h) a composite number?
False
Let v(k) = 48050*k - 5155. Is v(7) prime?
False
Let t(n) = 6*n + 76. Let w be t(-6). Suppose 0 = -3*b - 4*z + 127, 4*z - 78 = -2*b + 3*z. Suppose -753 = -w*j + b*j. Is j composite?
False
Let r be 4 - (756/(-14))/((-3)/(-444)). Let q = r - 3213. Is q a prime number?
True
Suppose 53*u + 5*u = 15*u + 627671. Is u composite?
True
Let i be (-122)/18 + (-10)/45. Let h(k) be the first derivative of -27*k**2/2 - 10*k - 13. Is h(i) composite?
False
Suppose 15 = 8*n - 9. Suppose 0 = -n*t + 5*i - 342 + 1400, 5*t = -3*i + 1718. Let o = 1313 - t. Is o a prime number?
True
Let g = -792763 - -1447860. Is g a composite number?
True
Let p(y) = -23814*y**3 - y**2 - y. Let h be p(-1). Let r = -13891 + h. Let d = -4050 + r. Is d a prime number?
False
Suppose 0 = 4*r - 5*d - 300721 + 35012, 0 = 3*r - 5*d - 199288. Is r a prime number?
False
Is 8 + (-2 - -6 - 16) + 120422 prime?
False
Suppose -59*p + 9110 = -69*p. Let l = 34404 + p. Is l prime?
True
Let t = 311 - 307. Let a = 129 + -225. Is (t/10)/(a/80)*-4431 composite?
True
Suppose -2*l + 2 = -j, -j + 3*l - 1 = 3. Suppose -5*q + 4*s + 4005 = 0, -j*s = 6*q - q - 3975. Is q a prime number?
True
Let o = 4517 - 4406. Is o a composite number?
True
Let l be 0/((-5)/((-25)/5)). Is l + ((-18591)/(-3))/1 a composite number?
False
Let q(l) = 534*l**2 - 3018*l - 1. Is q(-6) prime?
False
Suppose 0 = 433*m - 165632122 - 965061. Is m a prime number?
True
Suppose q + 2*j = 23, 4*q - j - 68 = -3*j. Suppose 7*u = 4*u - q, -5*w = 4*u - 30. Is 114*2/w + (-4)/5 prime?
False
Is -4201*(-33 - 2*(-9 + 7)) a composite number?
True
Suppose 2*z + 11*g - 40 = 7*g, -z = 3*g - 23. Suppose b = -11 + z. Suppose 4*y = -b*s + 4159, 2*s - 4*s - y + 2781 = 0. Is s a prime number?
False
Let m(t) = -17*t + 13. Let f be m(-15). Suppose -7*s + 5*s = -f. Suppose -2*n + s = -0*n. Is n a prime number?
True
Let c(a) be the first derivative of 77*a**3/3 - 15*a**2/2 + 7*a - 26. Let k be c(7). Suppose 0 = b - 4*t - 0*t - k, -b - 5*t + 3711 = 0. Is b prime?
True
Let w = -57 + 69. Is 1/3 + 3224/w a prime number?
True
Suppose 0 = 5*h - 3*d - 15476, -25*h + d + 15482 = -20*h. Is h a composite number?
True
Let b = 144438 - -21779. Is b a composite number?
True
Suppose -446*r - 16 = -448*r. Is -4*22948/r*(-4)/8 composite?
False
Let z(x) = 7389*x + 1168. Is z(5) composite?
False
Let x = 3412 + -1934. Let f = 3811 - x. Is f a prime number?
True
Let y(a) = -a**3 + 4*a**2 - 9*a + 8. Suppose -36 = -4*t + 2*u, -3*t + 4*u = -4*t. Let w be y(t). Is 2 + -4 + w/(-2) a composite number?
True
Suppose -7 = q + 6*q. Let h be (-1)/4 - ((-13)/4 - q). Suppose 182 + 192 = h*m. Is m composite?
True
Let f = -1247 + 691. Is f/(-139) + 4733/(-2)*-6 a prime number?
False
Let k = -38 + 62. Let v = -25 + k. Is v/5 + 4256/5 prime?
False
Suppose 10*r = -108*r + 2918494. Is r a composite number?
False
Let x(y) = 45*y**2 + 8*y - 19. Suppose 2*u - 8 = -10, 4*q = -2*u + 38. Is x(q) composite?
False
Let d(p) = -936871*p - 1454. Is d(-1) prime?
False
Is (11383401/236)/(6/8) a composite number?
True
Suppose -4*w + 2572 = -732. Suppose 0 = -12*d + 5*d + w. Is d a prime number?
False
Suppose 33*b - 150296 = -100318 + 158945. Is b a composite number?
True
Suppose -971 = 4*a + 3*j, 36 - 260 = a - 3*j. Let k = a - -599. Let u = 571 - k. Is u composite?
False
Let p be (-96)/336*(-17 + 1 - -2). Is -79*(-66 + (3 - p)) a composite number?
True
Let q(i) = i**2 + 14*i + 23. Let b be q(0). Is (1 - 7)/((-46)/b) + 4832 composite?
True
Suppose 1381*j - 5*o = 1384*j - 407092, -3*j - o = -407096. Is j composite?
True
Let c be (-4)/(-10) + (-32280)/(-50) + 5. Let w(p) = 6*p**3 - p - 2. Let o be w(2). Let x = o + c. Is x prime?
False
Let n = -11588 - -20117. Let o = 13096 - n. Is o composite?
False
Let z(w) = 14*w**3 + 10*w**2 - 2*w - 5. Let v = -40 - -44. Is z(v) composite?
True
Let n(g) = g**3 - 27*g**2 - 26*g - 51. Let i be n(28). Is (i + -3 + (-35)/15)*-12147 composite?
False
Let w(d) = -2*d**3 - 13*d**2 - 35*d - 7. Let v be w(
|
{
"pile_set_name": "DM Mathematics"
}
|
3 AM and 3:28 PM?
355
What is 428 minutes before 11:10 PM?
4:02 PM
What is 535 minutes before 11:26 PM?
2:31 PM
How many minutes are there between 5:57 PM and 9:28 PM?
211
What is 398 minutes before 3:50 AM?
9:12 PM
What is 627 minutes after 8:46 PM?
7:13 AM
How many minutes are there between 8:54 PM and 1:40 AM?
286
What is 11 minutes before 5:06 PM?
4:55 PM
How many minutes are there between 7:12 AM and 3:33 PM?
501
What is 325 minutes after 8:56 AM?
2:21 PM
What is 429 minutes after 6:10 PM?
1:19 AM
What is 135 minutes after 8:09 PM?
10:24 PM
How many minutes are there between 6:29 AM and 6:14 PM?
705
How many minutes are there between 3:47 AM and 11:41 AM?
474
How many minutes are there between 1:32 PM and 3:22 PM?
110
What is 546 minutes after 11:13 PM?
8:19 AM
What is 543 minutes after 1:23 AM?
10:26 AM
How many minutes are there between 2:31 AM and 1:33 PM?
662
How many minutes are there between 3:52 PM and 10:52 PM?
420
What is 238 minutes before 8:04 PM?
4:06 PM
How many minutes are there between 3:12 PM and 4:56 PM?
104
How many minutes are there between 9:19 PM and 8:34 AM?
675
How many minutes are there between 5:05 AM and 11:55 AM?
410
How many minutes are there between 2:14 AM and 5:51 AM?
217
What is 295 minutes after 10:36 AM?
3:31 PM
How many minutes are there between 7:07 AM and 8:00 AM?
53
How many minutes are there between 9:07 AM and 8:56 PM?
709
How many minutes are there between 5:54 AM and 6:35 AM?
41
How many minutes are there between 8:19 PM and 6:39 AM?
620
What is 714 minutes before 6:13 PM?
6:19 AM
What is 685 minutes after 3:11 PM?
2:36 AM
How many minutes are there between 10:55 AM and 11:58 AM?
63
What is 40 minutes before 3:54 AM?
3:14 AM
How many minutes are there between 12:45 PM and 10:23 PM?
578
What is 655 minutes before 3:46 PM?
4:51 AM
What is 636 minutes after 2:18 PM?
12:54 AM
What is 524 minutes after 7:03 AM?
3:47 PM
How many minutes are there between 9:52 AM and 5:04 PM?
432
How many minutes are there between 3:19 PM and 3:06 AM?
707
How many minutes are there between 8:43 PM and 7:35 AM?
652
What is 337 minutes before 11:57 PM?
6:20 PM
What is 408 minutes before 3:04 PM?
8:16 AM
How many minutes are there between 6:39 AM and 5:43 PM?
664
What is 444 minutes before 9:15 AM?
1:51 AM
What is 291 minutes after 11:07 AM?
3:58 PM
How many minutes are there between 1:56 AM and 6:07 AM?
251
What is 167 minutes after 4:37 PM?
7:24 PM
What is 553 minutes after 11:45 AM?
8:58 PM
What is 665 minutes after 9:02 PM?
8:07 AM
What is 279 minutes after 7:20 PM?
11:59 PM
How many minutes are there between 2:03 AM and 8:48 AM?
405
How many minutes are there between 10:23 PM and 9:09 AM?
646
What is 467 minutes before 3:33 PM?
7:46 AM
What is 166 minutes after 3:30 PM?
6:16 PM
What is 132 minutes before 1:28 AM?
11:16 PM
What is 572 minutes after 8:20 AM?
5:52 PM
What is 616 minutes before 6:31 PM?
8:15 AM
How many minutes are there between 2:39 PM and 7:32 PM?
293
How many minutes are there between 7:20 AM and 1:51 PM?
391
What is 82 minutes before 12:23 AM?
11:01 PM
What is 655 minutes after 8:39 PM?
7:34 AM
What is 706 minutes before 10:52 AM?
11:06 PM
What is 418 minutes after 8:00 PM?
2:58 AM
How many minutes are there between 6:59 AM and 5:09 PM?
610
How many minutes are there between 12:22 AM and 10:40 AM?
618
How many minutes are there between 6:35 AM and 2:23 PM?
468
How many minutes are there between 5:49 PM and 5:35 AM?
706
How many minutes are there between 5:53 PM and 4:16 AM?
623
How many minutes are there between 8:48 AM and 2:20 PM?
332
How many minutes are there between 11:47 PM and 1:38 AM?
111
What is 107 minutes after 6:41 PM?
8:28 PM
What is 90 minutes before 7:34 PM?
6:04 PM
How many minutes are there between 11:54 PM and 2:18 AM?
144
What is 387 minutes after 10:08 PM?
4:35 AM
How many minutes are there between 7:27 AM and 2:46 PM?
439
What is 145 minutes before 5:03 AM?
2:38 AM
How many minutes are there between 7:36 PM and 5:20 AM?
584
How many minutes are there between 3:20 PM and 2:24 AM?
664
What is 672 minutes after 3:23 PM?
2:35 AM
What is 53 minutes before 3:30 AM?
2:37 AM
How many minutes are there between 5:23 PM and 9:29 PM?
246
What is 488 minutes after 1:00 PM?
9:08 PM
How many minutes are there between 3:08 AM and 4:11 AM?
63
What is 678 minutes before 1:52 PM?
2:34 AM
What is 170 minutes after 10:11 PM?
1:01 AM
What is 631 minutes after 6:18 AM?
4:49 PM
How many minutes are there between 9:33 AM and 9:02 PM?
689
How many minutes are there between 5:48 PM and 5:25 AM?
697
What is 490 minutes before 1:23 AM?
5:13 PM
How many minutes are there between 6:43 PM and 5:01 AM?
618
How many minutes are there between 8:49 AM and 6:38 PM?
589
What is 194 minutes after 1:00 PM?
4:14 PM
How many minutes are there between 8:06 AM and 6:31 PM?
625
How many minutes are there between 9:29 PM and 4:25 AM?
416
How many minutes are there between 7:44 PM and 8:33 PM?
49
What is 573 minutes after 8:41 AM?
6:14 PM
What is 217 minutes after 4:47 PM?
8:24 PM
How many minutes are there between 9:39 AM and 10:27 AM?
48
How many minutes are there between 2:46 PM and 4:15 PM?
89
What is 103 minutes after 8:05 PM?
9:48 PM
What is 62 minutes before 2:24 PM?
1:22 PM
What is 25 minutes after 4:51 PM?
5:16 PM
What is 643 minutes after 6:05 AM?
4:48 PM
What is 88 minutes before 10:42 PM?
9:14 PM
How many minutes are there between 5:24 PM and 11:23 PM?
359
What is 386 minutes after 5:33 PM?
11:59 PM
How many minutes are there between 6:56 AM and 1:24 PM?
388
How many minutes are there between 7:55 AM and 5:36 PM?
581
How many minutes are there between 11:57 AM and 4:34 PM?
277
How many minutes are there between 3:36 PM and 6:59 PM?
203
How many minutes are there between 9:07 AM and 9:17 AM?
10
How many minutes are there between 1:27 AM and 12:08 PM?
641
How many minutes are there between 8:26 PM and 12:03 AM?
217
What is 367 minutes after 8:46 AM?
2:53 PM
How many minutes are there between 12:44 PM and 11:59 PM?
675
What is 530 minutes after 12:37 PM?
9:27 PM
What is 675 minutes after 4:54 AM?
4:09 PM
How many minutes are there between 1:02 PM and 10:14 PM?
552
What is 631 minutes after 12:52 AM?
11:23 AM
What is 457 minutes before 8:59 AM?
1:22 AM
How many minutes are there between 2:06 PM and 7:04 PM?
298
How many minutes are there between 5:11 AM and 12:45 PM?
454
What is 401 minutes before 6:47 AM?
12:06 AM
How many minutes are there between 10:24 PM and 9:56 AM?
692
What is 502 minutes after 3:06 AM?
11:28 AM
What is 623 minutes after 2:32 AM?
12:55 PM
How many minutes are there between 2:10 AM and 11:58 AM?
588
How many minutes are there between 9:36 PM and 1:03 AM?
207
What is 89 minutes after 12:26 AM?
1:55 AM
How many minutes are there between 6:50 PM and 9:19 PM?
149
How many minutes are there between 9:52 PM and 8:53 AM?
661
What is 295 minutes before 10:25 PM?
5:30 PM
How many minutes are there between 10:09 PM and 4:48 AM?
399
How many minutes are there between 5:55 PM and 4:13 AM?
618
What is 202 minutes before 3:49 AM?
12:27 AM
What is 158 minutes before 3:27 AM?
12:49 AM
How many minutes are there between 6:20 PM and 5:32 AM?
672
How many minutes are there between 11:01 PM and 8:34 AM?
573
What is 552 minutes after 5:15 AM?
2:27 PM
How many minutes are there between 10:58 PM and 6:31 AM?
453
What is 88 minutes before 12:26 PM?
10:58 AM
What is 623 minutes after 11:13 PM?
9:36 AM
What is 470 minutes before 10:17 PM?
2:27 PM
How many minutes are there between 6:40 AM and 5:27 PM?
647
What is 678 minutes after 2:23 AM?
1:41 PM
How many minutes are there between 2:22 AM and 9:20 AM?
418
What is 170 minutes before 11:52 PM?
9:02 PM
What is 359 minutes before 7:16 PM?
1:17 PM
What is 123 minutes after 10:41 PM?
12:44 AM
How many minutes are there between 9:17 AM and 11:04 AM?
107
What is 366 minutes before 1:45 AM?
7:39 PM
What is 679 minutes before 2:59 AM?
3:40 PM
How many minutes are there between 2:37 PM and 2:05 AM?
688
How many minutes are there between 11:26 AM and 3:37 PM?
251
How many minutes are there between 7:23 AM and 10:29 AM?
186
How many minutes are there between 3:50 AM and 4:41 AM?
51
How many minutes are there between 9:05 PM and 2:32 AM?
327
What is 274 minutes before 9:28 AM?
4:54
|
{
"pile_set_name": "DM Mathematics"
}
|
= -26103 - -26119. Solve l*u - 13*u + 2*m - 17 = 0, 0 = -5*u - 2*m + 23 for u.
3
Suppose -5*g - 2*j = -39, -2*g + 3*j + 6 + 2 = 0. Let w be 12 - (4/(-50) - 304/(-50)). Suppose g*l = w*l. Solve l = n - 3*n + 5*o - 1, -2*n + 4*o = 2 for n.
-3
Let b(x) = x**3 + 12*x**2 - 44*x + 22. Let f be b(-15). Solve -5*t = 3*u + 16, u - 3*t + 3 = f for u.
-2
Suppose -103*d = -102*d - 4. Solve 5*m = d*i + 32, 0 = -5*m - 4*i + 9*i + 35 for m.
4
Let u = -178 + 250. Let t be (-676)/(-9) - -14*6/(-756). Let m = t - u. Solve 0 = -p + 5*p - 2*r - 26, -m*p + 4*r = -27 for p.
5
Let f be (-18078)/(-5934) - 1*4/86. Solve -x + d = 10, -10 = -f*x + 5*d - 50 for x.
-5
Let q(p) = 12*p + 136. Let s be q(-12). Let i be s/((-32)/12)*30/18. Solve -15 = -5*r - d, 9 = r - i*r - 5*d for r.
4
Suppose -615 = 18*q + 6243. Let b = 409 + q. Solve -d + 5 = 3*j - 6, b = 4*j + 4*d for j.
2
Let l be 2*((-5)/2)/(9/(-9)). Solve o - l*v = 2*o + 9, 5*o + 3 = -4*v for o.
1
Let g = 282 + -147. Let k = g + -131. Solve x = 2*q + 2*x + 9, 4*x = k*q + 12 for q.
-4
Let l be -15 + (33 - (12 + 2)). Solve 8*k - 10*k = 4*a - 24, 3*a - l*k = 29 for a.
7
Suppose -3 = 3*p - 12. Suppose x + 3*h = -p, 2*x + 5*h = -3 - 1. Let f = -3 - -5. Solve -7*d - 2*a + f = -2*d, -x*a + 3 = -d for d.
0
Let s = -2837 - -2848. Solve -3*c + g + s = -0*g, 23 = 5*c + 3*g for c.
4
Suppose -90*n = -4*n - 574 + 144. Solve -5*c + 5 = -n*j, 23*j - 18*j = -7*c + 19 for c.
2
Let u(o) = -o**3 + 5*o**2 - 4*o - 4. Let j be u(3). Suppose 1 = 5*i + 6, j*x = 5*i - 2461. Let g be x/(-63) + (-9)/(-21). Solve -r = 3, f - 4*r = 3*f + g for f.
-4
Let a(u) = -8*u + 49. Let c be a(5). Suppose -c*j = -242 + 98. Solve -3*z + j = -4*p, -3*z = 2*z for p.
-4
Let d(a) = -35*a + 2103. Let b be d(60). Solve 0 = b*n + 4*h - 11, -h - 3 = n - 6 for n.
1
Let v(x) = 31*x + 61. Let q be v(-2). Let a be -9 + 16 - q/(-1). Solve -a*j + 11*j + 4*p - 8 = 0, -4*p = 12 for j.
4
Let g = 20662 - 20657. Solve g*b + 20 = -j, 91*j = 86*j for b.
-4
Let p = -1835 + 1838. Solve -124*o - 4 = -128*o, p*w - 3*o = -15 for w.
-4
Let y be -9 + 48 + -6 + -13. Solve w - 11 = -2*f, -y*f + 14 = -17*f - w for f.
5
Let c = 11161 + -11008. Solve c*q - 152*q = 2, 5*q - 13 = 3*j for j.
-1
Let g be ((-32)/(-40))/(0 + 2/85). Let i = 34 - g. Suppose 0 = -4*o - 5*l + 7 - 0, i = 3*l + 3. Solve y + o*s + 3 = 0, -y - 20 = -5*y + 4*s for y.
3
Let v be -48 + -2*9/(-6). Let x = 10 + v. Let b = 39 + x. Solve -2*r - y = -1, -5 = -b*r + 3*y - 4*y for r.
2
Let k(t) = -14*t**3 + 2*t**2 + 29*t + 7. Let c be k(-3). Solve -5*q + 3*h + 16 = 0, -q - 5*h = c - 336 for q.
5
Let d(u) = 6*u**2 - 4*u - 3. Let x be d(-1). Let b be -2 - -63 - (x + -3). Suppose -5*m - 2 = -b. Solve 3*h + m = 4*v, -9 = -0*h + 2*h - v for h.
-5
Let k(j) = -j**3 + 6*j**2 - 3*j - 14. Let l be k(5). Let r be (l/(-6))/(-1)*3 - -2. Solve -v = 5*i + 11, v = -r - 1 for i.
-2
Let k(o) = -4*o. Let a be k(-5). Solve -4*u = -2*v + a, -v = u - 5*v + 12 for u.
-4
Suppose 46 = 4*n + 2115*i - 2117*i, 0 = 3*i - 3. Let c(v) = -2*v - 7. Let w be c(-5). Solve 5*o + 2 = k, w*k + n = -k for o.
-1
Let f = -153 + 152. Let n be (-190)/(-30) - f/(-3). Solve k - 2 = 3*s, 2*s - n*s = k + 5 for k.
-1
Let l(a) = -217*a - 3901. Let b be l(-18). Solve -f - b*v - 8 = 0, 5*f + 3*v = -v + 2 for f.
2
Suppose 5*u - 19 = -3*i, -3*u + i = -4 + 1. Let o(l) = -3*l**2 - 47*l + 17. Let x be o(-16). Solve -4*h + 17 = u*q + x, -4*h = 5*q - 28 for q.
4
Let d be 2 + (4 - 12/(-6)). Let u be ((-6)/d)/((-9)/6)*4. Solve 5*s = 2*m - 0*m - 16, -4 = -s - u*m for s.
-2
Let n = -1898 - -1920. Solve -3*o - 21*y = -20*y + 17, 4*o = -y - n for o.
-5
Suppose 14*d + 9 - 37 = 0. Suppose 4*r + 2*x = 6, 4*r + x = -0*x + 7. Solve 0 = -r*o - 2*u - d*u - 6, 0 = 3*u for o.
-3
Let v = 373 - 369. Suppose -2*f + 10 = -3*d - 15, v*f - 5 = -3*d. Solve 0*q + 1 = -3*x + f*q, q + 7 = 3*x for x.
3
Let l(a) = -15*a + 30 - 20*a**2 + 9 + 19*a**2. Let q be l(-17). Solve -3*h + 3*i = 18, -5*i = 4*h + 2 - q for h.
-3
Suppose -5*u - 2*a = -3 - 25, 4*u + 2*a = 22. Let g be (2 + 22/(-9))*(-27)/u. Solve -g*m + 3*t - 2 = t, -m - 3*t = 1 for m.
-1
Let a be 158 + -1*(4 - 3/1). Let n = -153 + a. Solve -n*z - 9 + 0 = p, 5*z + 3*p + 20 = 0 for z.
-1
Let a(k) = k**2 + 30*k - 61. Let t be a(-32). Solve 3*x = -8*d + 3*d + 25, 3*d + t*x = 21 for d.
2
Let i(q) = 2*q - 6. Let h be i(4). Suppose 24 = 3*w + 3*y, -84 = 3*w - 5*y - 68. Solve 2*t - w = h*a - 7, -3*a + 14 = t for a.
4
Let f = 10 + -2. Suppose 2*w + 3*p - f - 15 = 0, -4*w + 1 = -3*p. Solve o + 2*g = 4, g = 5*o + w - 2 for o.
0
Let d(b) = b**3 + 13*b**2 - 16*b + 223. Let s be d(-15). Solve -12 = s*j - 12*j + 2*c, 4*c + 18 = j for j.
-2
Let v(i) = -55*i + 1377. Let s be v(25). Solve -4*g + s = 2*u, 19*u + 1 = -5*g + 20*u for g.
0
Suppose -4*v + 4*b = -4, 1 + 0 = -5*v + 2*b. Let i be v/(-3) - 5/15. Suppose -13*j - 3*j = 4*j. Solve 9 = 3*o, i = -3*w + 3*o - j*o + 6 for w.
5
Suppose -2*y + y + 6 = 0. Suppose 2*k = 2*q, -k + 0 = 2*q + y. Let m = k - -5. Solve 0 = -g - m*z - z + 5, 2*g + 3*z = 10 for g.
5
Let d be 1*((-2)/(-6) + 129/(-9)). Let t = 21 + d. Suppose -t*m - 4 = -9*m, 0 = -2*u - m + 2. Solve 4*a + 4*j + 12 = 0, u = -4*a + 3*j + 15 + 1 for a.
1
Suppose 83 + 52 = -5*l. Let y be (3 + l/7)*14/(-3). Solve y*j + 5*r = -5, -2*j + 0*j + 5 = -5*r for j.
0
Let y = -345 - -381. Solve -2*m - 4 = -2*r, -3*r = 5*m + y - 2 for m.
-5
Let m = -12446 - -12453. Solve 5*q - d - 19 = 0, m*q - 10*q + 17 = 5*d for q.
4
Let n be (4022/(-6033))/((-6)/20*(-2)/(-36)). Solve 2*p = 2*o - 4, 3*p - n = -2*o - 26 for o.
4
Suppose 3*l + 37 = -5*q + 134, 5*q + 2*l = 98. Suppose 3*f - 82 = -4*x - q, -98 = -5*f - 4*x. Solve 0 = -2*v + 4*d + d + f, 5*d + 21 = -v for v.
-1
Let o(k) = -21*k - 792. Let l be o(-38). Solve -l*x + 10*x - h - 13 = 0, 0 = 5*x - 3*h - 11 for x.
4
Let f be 120/(-70) + 2/1 - 832/(-224). Solve f*v + 2*c + 24 = 0, 3*v = -2*v + 5*c for v.
-4
Let n = -4402 - -4405. Solve -n*w + 4 = -2*s - 0, -3*s + 13 = 5*w for s.
1
Let c(t) = 14*t + 103. Let i be c(-7). Solve -i*r + 3*k = 25, -15 = 2*r + r - 2*k for r.
-5
Let k be (0 + 2 + -2)/1. Suppose k = 4*n - n - 45. Suppose 3*c + 2*c - n = 0. Solve r = c*d + 5, 2 = -4*d + 5*r + 10 for d.
-3
Suppose -14*q = -19*q. Suppose q = -9*o + 8*o + 14. Suppose -4*c = 7 - 15. Solve 4*w = -g - 17, -w + 4*w = -c*g - o for w.
-4
Suppose -4*h - 145 = h. Let y be 2/13 - (-40138)/1222. Let l = h + y. Solve -t - 2 = -l*n, -3*n = t + 2*t + 6 for t.
-2
Let q = 19 - -334. Let b = -353 + q. Solve b*s + 5*s - r = -25, -5 = s + 3*r for s.
-5
Let j be (-6)/(-4) + 10/20. Suppose -28*g = -26*g - 10. Solve -j*c = 5*u - g, u - 4 = -3*u for c.
0
Let c = -7 + 22. Let w be 80/4*(-6)/c. Let o = w - -13. Solve -2*f - 11 = o*n, 4*n + 5*f = f - 16 for n.
-1
Suppose -9*u = 563 - 914. Solve -3*h - 4*k - 23 + u = 0, 0 = 2*h - k + 4 for h.
0
Let c be (3/2)/(21/(-1190)). Let z = c - -87. Solve 12 = 4*t, z*g + t = 5*t - 4 for g.
4
Let a be (45/90)/((-11)/(-66)). Solve 2*t + 0*y = 3*y, -a*t = -y - 7 for t.
3
Let z(c) = -c**2 + 2*c + 5. Let i be z(2). Let t(k) = -k + 18. Let b be t(-10). Solve 7 = -5*y + 5*a - b, i*a - 23 = -y for y.
-2
Let r = 223 + 35. Let y be -1 + (-4)/(-3) - (-946)/r. Suppose -41 = -2*f + 29. Solve -9*s - f = -5*m - 4*s, s = y*m - 19 for m.
4
Suppose -6 = 2*s + 3*b - 18, -3*s - 20 = -5*b. Suppose s = -25*c + 76 + 24. Solve -2*g + n + 7 = 0, 2*g - 4*n = -0*g + c for g.
4
Suppose -29*u + 226 = 25*u + 64. Solve -n + 5*i = -11, -u*n - 3 = -2*i - 10 for n.
1
Suppose -18*n = 107*n. Solve 0 = 5*f - k - 11 - 11, n = -5*f + 3*k + 16 for f.
5
Let g be (7/21)/(2 - (-35)/(-18)). Suppose 0 = -3*o - g + 48. Suppose o*m - 129 = 11. Solve -2 - m = -3*v + 3*b, 12 = -2*v - 3*b for v.
0
Suppose 3 = -3*y + k, -62 = -2*y - 2*k - 48. Solve 4*c + 3*m = -0 + y, -3*c - 4*m = -6 for c.
-2
Let x = -5 - -7. Suppose -31*q + 348 = -2*q. Suppose -4*i = -6*i + 3*v + 21, -4*v + q = 4*i. Solve i*m - x*m + 8 = 0, -8 = -2*p - m for p.
5
Let u = -75 + 80. Let s(t) = -t - 2. Let q = -28 + 21. Let a be s(q). Solve l - 4*w = u, -a*l = 3*w - 28 + 3 for l.
5
Suppose 0 = -2*h - 6, 4*z + 4*h = 3*h + 205. Let x be 8/z + (-100)/(-26). Let l be (x + 1)/5 - (-4)/2. Solve 4*d + 5 = -3*o, d - l*o + 4*o + 2 = 0 for d.
1
Suppose d + 13 - 35 = 0. Let s = d - 18. Solve -p + 1 = -s*r, 5*p + 17 = -0*r - 2*r for p.
-3
|
{
"pile_set_name": "DM Mathematics"
}
|
9*u - 2. Suppose 22*j - 17 = 21*j. Calculate the remainder when v is divided by z(j).
29
Let b(t) = -3*t**2 + 46*t - 5. Let p be b(15). Suppose l = -3*l + 144. Suppose 7*w = p*w - l. What is the remainder when 21 is divided by w?
9
Let l = 179 - 147. Suppose -l*v - 147 = -39*v. Let t = -42 + 104. Calculate the remainder when t is divided by v.
20
Let p(a) = a**2 - a + 2. Let n be p(-2). Let w = -14 + n. Calculate the remainder when 13 is divided by w/(-9) + (-39)/(-9).
3
Suppose -f + 5*f + 4 = 0. Let n be 1 - 2/2*f. Suppose -3*u - 2*t - 11 = -4*u, n*u - 5*t - 19 = 0. Calculate the remainder when u is divided by 5.
2
Suppose -8*w - 20 = -3*w. What is the remainder when 2 is divided by (-4 - -1) + w/(-1)?
0
Let g(n) = 3*n + 107. Calculate the remainder when 18 is divided by g(-33).
2
Let h(q) = 2*q + 12. Calculate the remainder when 70 is divided by h(14).
30
Suppose c - 375 = -2*a, -837 - 1052 = -5*c - 3*a. Calculate the remainder when c is divided by 3.
1
Let h(p) = p**2 + p - 2. Let d be h(2). Let c be ((-4)/(-3))/(d/(-6)). What is the remainder when c + 1 + (-513)/(-9) is divided by 29?
27
Let u = -436 + 456. What is the remainder when u is divided by 14?
6
Let m = 31 + -10. Suppose 5*t - m - 54 = 0. Let v(b) = -3*b + 5. What is the remainder when v(-8) is divided by t?
14
Let f(o) = o**3 - 40*o**2 + 44*o - 64. Let h(x) = x**3 - 8*x**2 - 3*x - 10. What is the remainder when f(39) is divided by h(9)?
43
Let q(p) = 2*p**2 + 5*p - 1. Suppose -31*b + 33*b = -10. Calculate the remainder when q(b) is divided by 9.
6
Suppose -2 = -2*g, 5*l - 82 = 2*g - 4*g. Suppose k = -3*k + l. What is the remainder when 62 is divided by 1/(-2) - (-66)/k?
14
What is the remainder when -34*(-102)/30*(-20)/(-8) is divided by 72?
1
Suppose -17 = 3*r + 4*d, -3*r + 3*d + 10 = -8. Let s(h) = 35*h + 4. What is the remainder when 155 is divided by s(r)?
38
Suppose 5*x - i - i - 703 = 0, x - 5*i - 159 = 0. Let g = -5146 + 5160. Calculate the remainder when x is divided by g.
13
Calculate the remainder when (-4)/6*((-8370)/4)/9 is divided by 77.
1
Let o = 4313 + -4216. Suppose -5*s = -4*f - 113, 6 = 4*f - 6. Calculate the remainder when o is divided by s.
22
Suppose -21*l = -3*l - 468. Calculate the remainder when 60 is divided by l.
8
Let u(c) = c**3 - 11*c**2 + 12*c - 6. Calculate the remainder when 46 is divided by u(10).
4
Let a(n) = n**3 - 9*n**2 - 9*n - 4. What is the remainder when 185 is divided by a(10)?
5
Let f = -36 + 59. Let r = 56 - f. Let b = r - 12. Calculate the remainder when 82 is divided by b.
19
Suppose 12*o - 4*y - 145 = 9*o, o = -y + 53. What is the remainder when 356 is divided by o?
50
Let i = 110 + -93. Suppose 12*d = i*d - 120. What is the remainder when 165 is divided by d?
21
Suppose -w = -u + 4, 12 = 2*u + u + 3*w. Let f be (-1408)/(-99) - u/18. Let a = f - -97. Calculate the remainder when a is divided by 28.
27
Suppose -3*n + 125 = -5*l, -n + 3*l = -5*n + 186. Calculate the remainder when 133 is divided by n.
43
Let h(p) = -5*p + 47. Let k be h(16). Let g = k - -58. What is the remainder when 59 is divided by g?
9
Let c(j) be the third derivative of -j**4/24 + 25*j**3/2 + 5*j**2. What is the remainder when c(0) is divided by 38?
37
Suppose 57*p + 330 = 68*p. What is the remainder when 349 is divided by p?
19
Let c(v) = v**3 - 6*v**2 - 1 + 0*v**3 + 4 - 12*v. Let p = -165 + 174. What is the remainder when c(8) is divided by p?
8
Let w(f) = -f**2 - 5*f + 5. Let j be ((-14)/8 - -3)*-4. Let m(x) = 5*x + 8. What is the remainder when m(2) is divided by w(j)?
3
Let s be (4 - -2) + -2 - -2. Let z = -2 + s. Suppose -9 = -f - d, z*f + 3*d = -0*f + 37. Calculate the remainder when 38 is divided by f.
8
Suppose -3*z + a - 48 = -2*a, -3*z + 5*a = 52. Let i(g) = -g - 9. What is the remainder when (3 + -2)*(-3 - -10) is divided by i(z)?
2
Let p be (-2)/(2/(-9)) + 2. Let x = p - 3. Calculate the remainder when x is divided by (2/4 + (-25)/30)*-15.
3
Suppose -2*f = -18 - 20. Let z(u) = u**2 - u - 1. Suppose -9 = -4*q - v, -2*v - 3*v - 15 = 0. Calculate the remainder when f is divided by z(q).
4
Suppose 560 = -14*a + 812. Let g(s) = s**2 + 5*s - 7. What is the remainder when a is divided by g(-7)?
4
Let n = -16 + 50. Suppose c + 4*j - 6 - 11 = 0, j = -2*c + n. Calculate the remainder when 30 is divided by c.
13
Let q(l) = 2*l + 1. Let v be q(1). Let a = 11 + v. Calculate the remainder when 23 is divided by a.
9
Let s(u) = -u**3 - u**2 - 3*u + 6. Calculate the remainder when 21 is divided by s(0).
3
Let z = 77 - 62. Suppose -57 = -6*p + z. Let r = 5 + -2. Calculate the remainder when p is divided by r.
0
Suppose -6*t + 8*t - 3*i = 10, -t + 3*i = -5. Calculate the remainder when 408 is divided by t.
3
Let n be (4/(-16))/((-2)/8)*0. What is the remainder when 207 is divided by (-6 + 1)*(n + -6)?
27
Let z = -34 - -18. Let f = z - -33. Calculate the remainder when f is divided by 9.
8
Let u = 39 + -19. Let n(t) = 2*t**2 + 54*t - 319. Calculate the remainder when n(6) is divided by u.
17
What is the remainder when 38 is divided by (-54)/(-72) + 98/8?
12
Let g = -32 - -32. Suppose g = -4*c - 32 + 212. Calculate the remainder when c is divided by 17.
11
Suppose -11 = 5*x - 41. Let q = x - 2. Suppose 0 = -2*c + 3*d + q + 18, -c = 4*d + 11. What is the remainder when c is divided by 4?
1
Suppose -34 = -5*t + 11. Suppose -5*k + 18 = -2. Calculate the remainder when t is divided by k.
1
Let k(f) = f**2 + 10*f - 1. Let z be k(-8). Let r be (z/2)/((-3)/18). Suppose -r = -3*g + 3. Calculate the remainder when 69 is divided by g.
15
Let a = 4 + -1. Suppose 3*k = 3*u - 111, 4*u + a*k + 2*k = 148. Calculate the remainder when u is divided by (-1 + 1 - -13)*1.
11
What is the remainder when 2596/55 - (-8)/10 is divided by 25?
23
Let i = 38 - 20. What is the remainder when (10 - 4)/(-6) + 52 is divided by i?
15
Suppose -3*z = -5*b + 430, 42*z + 172 = 2*b + 40*z. What is the remainder when 341 is divided by b?
83
Let n(l) = -2*l + 16. Let j be n(7). Let h be 1/j + (-245)/(-14). Suppose -h = 2*y - 3*y. What is the remainder when y is divided by 5?
3
Suppose -248*w + 264*w - 64 = 0. Calculate the remainder when 20/2*(-6)/(-5) is divided by w.
0
Suppose -3*t - 3*u - 1038 + 8760 = 0, -5*t = -4*u - 12843. Calculate the remainder when t is divided by 78.
75
Let i = 11 - 17. What is the remainder when (6/i)/(2/(-14)) is divided by 2/7 - (-38)/14?
1
Let r(n) = n**3 - 7*n**2 - 3*n - 1. What is the remainder when 172 is divided by r(8)?
16
Let b(i) = -i + 17. Let t be b(4). Suppose 2*o = t + 39. Calculate the remainder when o is divided by 6.
2
Suppose h - 2*n - 119 = -0*h, -h - 4*n = -113. Suppose -i - 4*i = -75. What is the remainder when h is divided by i?
12
Suppose -12*q = -177 - 111. What is the remainder when 75 is divided by q?
3
Let l(s) = 15*s**2 - 59*s + 18. Calculate the remainder when l(7) is divided by 94.
58
Let r = 18 + -14. Suppose 5*b = -r*k + 92, 5*k = -b + 12 + 19. Suppose 4*o = 4*m + 6*o - 190, 110 = 3*m - 5*o. What is the remainder when m is divided by b?
13
Let i = -272 - -376. Calculate the remainder when i is divided by 37.
30
Let c be ((-12)/(-8))/((-3)/(-10)). Let n = c - 5. Suppose n = -5*i - 44 + 134. Calculate the remainder when 53 is divided by i.
17
Suppose 3*u = -r + 28, 0 = -4*r - 3*u - 316 + 428. What is the remainder when 43 is divided by r?
15
Let v = 28 + -11. Let f(g) be the second derivative of g**5/20 + 7*g**4/12 + 5*g**3/6 + 3*g**2/2 - 12*g. What is the remainder when v is divided by f(-6)?
8
Suppose 4*k = -5*u - 221 - 247, -3*k + 9 = 0. Let v = -66 - u. Let t = -152 - -168. What is the remainder when v is divided by t?
14
Let d = 149 + -242. Let w = d + 114. Calculate the remainder when 78 is divided by w.
15
Let z = -31 + 94. Let f = -67 + 158. Suppose 2*b = 3*x + 41, 5*b + 5*x - f = 24. Calculate the remainder when z is divided by b.
19
Suppose 0 = -23*l + 41*l - 2430. What is the remainder when l is divided by 54?
27
What is the remainder when 99 is divided by ((-1950)/(-104))/(6/16)?
49
Let v(i) = 2*i**2 - i. Let s = -1 - -2. Let k(z) = -43*z - 213. Calculate the remainder when k(-5) is divided by v(s).
0
Let y(a) be the third derivative of -a**5/60 - 5*a**4/8 - 13*a**3/6 + 29*a**2. What is the remainder when 92 is divided by y(-11)?
30
Let
|
{
"pile_set_name": "DM Mathematics"
}
|
u(x) = 4*x - x - 2*x - 4*x**3. Let z be u(-2). Suppose z = 3*f - w + 5*w, 4*f = 5*w + 9. What are the prime factors of f?
2, 3
Suppose -3*z + 0 + 9 = 0. Suppose -z*m = 2*m - 185. What are the prime factors of m?
37
Suppose -9*o + 1847 = -187. What are the prime factors of o?
2, 113
Let t = -219 - -310. List the prime factors of t.
7, 13
Suppose -4*b + 57 = -5*u, -4*u - 34 = -3*b - 9*u. What are the prime factors of b?
13
Suppose 0 = 3*z - 3 - 9. Suppose 2*t - z*t = -6. What are the prime factors of t?
3
Let f(g) = -g - 6. Let r be f(-6). Suppose -3*j = -r*j - 105. Suppose o + 5*s - j = -4*o, 0 = -5*o + 5*s + 65. What are the prime factors of o?
2, 5
Suppose 0 = 4*k + 5 - 57. Suppose 3*f = -5*j + 9, 4*f + 1 = 2*j - k. What are the prime factors of f/(-6)*(43 + -1)?
2, 7
Let g(h) = -2*h**3 - 5*h**2 + h**3 + h + 2 + 3*h**3. What are the prime factors of g(3)?
2, 7
What are the prime factors of 48/(-14)*833/(-14)?
2, 3, 17
Let r be ((-15)/(-6) + -2)*12. Suppose -5*l + r = -2*l. Suppose 0 = 5*n, -3*p + l*n - 7 = -4*p. List the prime factors of p.
7
Suppose 0 = 3*h + 4*i + 13, -i + 2*i + 8 = 4*h. Let a be -2 + 12/(h + 2). Suppose a*s = -3*s + 35. List the prime factors of s.
7
Suppose 0 = -2*w + 78 + 10. Let o be 2/4 + 18/4. Suppose -26 - w = -o*t. What are the prime factors of t?
2, 7
Let b(p) = -p**2 + 29*p + 40. What are the prime factors of b(21)?
2, 13
Let a = 0 + 4. Suppose -2*w + 20 = -a*m, 0 = -3*w - 0*m + 5*m + 26. List the prime factors of w.
2
Let m = 3 + -2. Let c = 4 - m. Suppose g = 4*u - 45, 2*u - 4*g - 23 = c. What are the prime factors of u?
11
List the prime factors of ((-7)/(-14))/((-1)/(-34)).
17
Suppose s + 51 = 4*s. Suppose 0 = 5*a - h - s, a - 2*h = -2*a + 6. List the prime factors of -1 - 2*(-18)/a.
2
Suppose k + 0 = 1. Let i(x) = 10*x**2 - 1. List the prime factors of i(k).
3
Suppose -5*g = -19 - 61. Let r = g + -7. List the prime factors of r.
3
Suppose -2*w = -6*w. Suppose -3*y - 2*y + 15 = w. Suppose -3*t - 30 = -2*m, -y*m - 2*t - 16 = -4*m. List the prime factors of m.
2, 3
Let p be 10/4*40/25. Suppose -28 = -6*j + p*j. List the prime factors of j.
2, 7
Suppose 0 = -r - 2*r - 3*l + 141, 3*r + 4*l - 146 = 0. List the prime factors of r.
2, 3, 7
Suppose -21 = -3*c - 3*m, -3*c + 24 = -0*c + 2*m. List the prime factors of c.
2, 5
Suppose f + 3*d = -1, 2*f + 5*d + 2 - 1 = 0. Suppose 20 = -4*g, 16 = f*b + 5*g - 3. List the prime factors of b.
2, 11
What are the prime factors of 8 + (-6 + 3 - -4)?
3
Suppose 4*g = 7*g - 42. What are the prime factors of g?
2, 7
Suppose 138 = j + m, 3*j = m + 294 + 120. What are the prime factors of j?
2, 3, 23
Suppose 3*f - 1 = -c, 3*c - 9 - 1 = -2*f. Suppose c*i + i + 2*v - 112 = 0, 46 = 2*i + 2*v. List the prime factors of i.
2, 11
Let l be (-8)/16*(5 - 1). Let y(p) = p + 2. Let h be y(l). Suppose -5*i + 49 + 16 = h. List the prime factors of i.
13
Let j(g) = -11*g + 56. What are the prime factors of j(-9)?
5, 31
Let q(u) be the second derivative of -u**5/20 + 5*u**4/12 - u**3/3 - 2*u**2 + 3*u. What are the prime factors of q(3)?
2
Suppose -3*v + 4 = -v. List the prime factors of 8 - v - 2 - -23.
3
Suppose -k + 4*k - 15 = 0. Suppose y = -2*r - 0*r + 18, -k*r + 63 = 4*y. Let t = -7 + y. List the prime factors of t.
5
Let s = 158 - 66. What are the prime factors of s?
2, 23
Let p(m) = m**2 + m. Let l be p(0). Suppose l = -0*b - 3*b + 60. List the prime factors of b.
2, 5
Let s(i) = i - 16. What are the prime factors of s(18)?
2
Suppose 2*d - 356 = -0*d. What are the prime factors of d?
2, 89
Let a(c) = c**3 - 4*c**2 + c + 1. Let x be 12*-2*1/(-6). Let p be a(x). Suppose -2 = p*v - 27. List the prime factors of v.
5
Let o(r) = 3*r + 25. What are the prime factors of o(6)?
43
Let g(j) = -j**2 + j + 12. Let x = -4 + 4. What are the prime factors of g(x)?
2, 3
List the prime factors of ((-8)/(-4) - -5) + 1.
2
Let f(b) be the first derivative of b**5/12 + b**4/24 + b**3 + 3. Let r(n) be the third derivative of f(n). What are the prime factors of r(1)?
11
Let k = 93 + 7. What are the prime factors of k?
2, 5
Let v(j) = j**3 + 6*j**2 + 4*j. Let z be v(-5). Suppose -3*s - 5*x = s - 129, -z*s - 4*x = -150. What are the prime factors of s?
2, 13
Suppose 3*v = v + 6. Suppose 29 = -4*z + 3*u, 0 = -4*z + 3*z + 3*u - 14. Let r = v - z. List the prime factors of r.
2
Suppose o + 4*o = 15. Let j(f) be the second derivative of f**4/6 - f**3/3 + 2*f**2 + f. What are the prime factors of j(o)?
2
Let k(o) = -12*o + 2. List the prime factors of k(-3).
2, 19
Let a(p) = -p + 30. What are the prime factors of a(12)?
2, 3
Suppose 0 = 4*m - 35 - 105. List the prime factors of m.
5, 7
Let b(x) = -9*x**3 - 2*x**2 + 1. Suppose -f + 2*d - 13 = -2*d, 2*d - 1 = -5*f. List the prime factors of b(f).
2
Let k(d) = -19*d - 2. Let l be k(1). List the prime factors of (l/14)/(6/(-52)).
13
Suppose 4*a - 20 = 0, -4*n + a - 14 = -5*n. Suppose -4*v - 4*d - 28 = 0, 2*v + d = -2*v - 25. Let g = v + n. What are the prime factors of g?
3
Let n = -33 + 45. List the prime factors of n.
2, 3
Let q be (-2 + -1)*-1 - 3. Suppose 3*x + q*x = 117. Suppose 5*k - x = 1. What are the prime factors of k?
2
Let o = -6 + 14. Let v = o - -88. List the prime factors of (-12)/20 - v/(-10).
3
Let w be 2/(3*2/18). Let o(m) = -m + 11. Let v be o(9). What are the prime factors of -3*((-32)/w + v)?
2, 5
Suppose -5*f + 0 = -60. Suppose 0 = -2*y - 0*y + f. List the prime factors of -3 + 5 + y + 0.
2
Let s = 16 - 7. Let q(g) = -g**2 + 10*g - 6. List the prime factors of q(s).
3
Let b(y) = -7*y - 6. What are the prime factors of b(-7)?
43
Suppose 6*x = 4*x + 2. Let o be -1 + (2 - (x - 2)). Suppose o*p - 5 = 3. What are the prime factors of p?
2
Let n(f) = f + 8. Let r be n(-6). Suppose 0 = -x + 5, -s + 21 = r*s - 3*x. List the prime factors of s.
2, 3
Suppose -2*d = -7*d - 5*g + 5, -g + 6 = 2*d. List the prime factors of (-10)/d*-1*6.
2, 3
Let s be 2/(-7) - (-16)/7. Let m be (s - 2 - 0)*-1. Suppose -3*b + m = -6. What are the prime factors of b?
2
Let a(g) = -55*g**3 + 8*g**2 - 14*g. Let n(i) = 18*i**3 - 3*i**2 + 5*i. Let j(o) = 4*a(o) + 11*n(o). List the prime factors of j(-1).
2, 11
Let w(n) = 8*n - 13. Let v be w(5). Suppose v = y + 2. List the prime factors of y.
5
Suppose 0 = b - o - 51, -3*o + 138 = 3*b - 27. List the prime factors of b.
53
Suppose 13*x - 4922 + 957 = 0. What are the prime factors of x?
5, 61
Suppose 8*i - 3*i = 45. What are the prime factors of i?
3
Suppose 5*f = 12 + 3. Suppose -4*m = -m + 5*t - 55, f*t = -3. What are the prime factors of m?
2, 5
List the prime factors of (-2 + (-6)/(-4))*-228.
2, 3, 19
Let l = 74 - -72. What are the prime factors of l?
2, 73
Let l = -17 + 29. Suppose -l = 5*g - 2*g, -2*i - 26 = 5*g. List the prime factors of i*(0 + (-21)/9).
7
Suppose 0*q = -3*q - 3*k + 9, q - 5*k = 9. Let d be (-2)/8 + 121/q. Suppose -r - d = -4*r. What are the prime factors of r?
2, 5
Let l(d) = -d + 1. Let i be l(1). Let z be 3 + 3 + i + 3. List the prime factors of (-9)/6*(-102)/z.
17
What are the prime factors of (24/9 + -2)*6?
2
Let m(i) = -i**2 - 5*i - 7. Let k be m(-6). Let t = 18 + k. Suppose 8 = -4*r + t*z, -6*r + 4*r = 2*z - 14. What are the prime factors of r?
3
Let q = -42 - -25. Let n = 29 + q. List the prime factors of n.
2, 3
Let u(r) = -r - 4. Let a be u(-6). Let l(s) = s**2 - s + 3. What are the prime factors of l(a)?
5
Suppose -4*v = -36 - 92. Suppose -5*r + r + v = 0. What are the prime factors of r?
2
Let f be -2*3*2/(-4). Let j(y) = -y**f + 4*y**2 + 2*y - 3*y**2 - 3*y - 1. What are the prime factors of j(-1)?
2
Let y be (-114)/(-27) - 4/18. Suppose y*s - s = 15. Suppose -s*d + 3*q + 12 = 5*q, -12 = -4*d - q. What are the prime factors of d?
2
Let r(q) = -6*q + 4. List the prime factors of r(-4).
2, 7
List the prime factors of (-1810)/(-6) + 11/33.
2, 151
Let s be ((-27)/(-18))/(1/(-2)). Let p = 0 - s. List the prime factors of p.
3
Let a(k) = 4*k**2 - 5*k + 1. Let j be a(4). Let d = j + -32. What are the prime factors of d?
13
Let s(g) = -g + 2. Let p be s(8). Let t(f) be the first derivative of -f**3/3 - 9*f**2/2 - 8*f + 3. List the prime factors of t(p).
2, 5
Let b(u) = 4*u**3 + u**2 - 1. Let l be b(1). Suppose -s + 2*d - 50 = -3*s, l*s - 106 = -d. What are the prime factors of s?
3
Let s = 7 - 3. Suppose 3*t -
|
{
"pile_set_name": "DM Mathematics"
}
|
. Let b(o) = 185*j(o) - 4*t(o). Is b(-1) prime?
True
Let x(g) be the first derivative of -g**4/4 - 5*g**3/3 + 4*g**2 - 5*g - 2. Is x(-7) prime?
True
Let o(r) = 102*r**3 + 2*r - 1. Is o(1) composite?
False
Let i be (12/(-8))/(6/8). Let b be 68 - i/1 - 0. Suppose -4*a - b = -706. Is a composite?
True
Let t(x) = -x**2 - 4*x + 3. Let f be t(-3). Suppose -f*h = -2*h - 20. Suppose 0 = h*y - y - 460. Is y a prime number?
False
Suppose i + 4*i = 25. Suppose 150 = -10*t + 5*t. Let d = i - t. Is d prime?
False
Is 118 + (-8)/4 + 3 prime?
False
Let o(k) = -k**3 - 6*k**2 - k - 4. Let i be o(-6). Let d = i - -4. Suppose 4*u - 2*u - d = 0. Is u prime?
True
Let f = 770 + -183. Is f a composite number?
False
Let s be 17/((-1 - 1)/(-4)). Let j = -8 + s. Is (2 + -8)/((-4)/j) prime?
False
Let x be (-2)/(-2)*(-3 + 2). Let t be (x - 1*-11)*1. Let c = 25 - t. Is c a composite number?
True
Let k(n) = -2*n - 7. Let m be k(-5). Suppose c = 1 + m. Suppose -c*v + 59 = -321. Is v a prime number?
False
Let z(n) = 8*n**2 - 4*n - 3. Is z(-5) prime?
False
Let l(p) = 7*p - 1. Let i be l(1). Is ((-6024)/(-16))/(i/8) a prime number?
False
Let x(q) be the third derivative of q**8/6720 + q**7/630 - q**6/240 - q**5/120 - q**4/24 + 3*q**2. Let k(a) be the second derivative of x(a). Is k(4) composite?
True
Let p = -1137 + 1707. Let r = p - 140. Suppose 2*a = -4*y - a + r, 3*y + 3*a - 321 = 0. Is y a composite number?
False
Let p(n) = -6*n**3 - 2*n - 1. Let v(k) = -k**2 - 3*k + 3. Let i be v(-4). Is p(i) a composite number?
False
Let m be (-1)/(1/2) + -591. Let l = 858 + m. Is l composite?
True
Let w(p) be the second derivative of -4*p**3/3 + 11*p**2/2 - 5*p. Is w(-9) composite?
False
Let k = 1267 + -54. Let u = k + -842. Is u prime?
False
Let u(x) = 46*x - 89*x - 1 - 107*x. Is u(-1) prime?
True
Suppose -2*k + 8 = -0*k, 0 = -3*r + k + 11. Let s(l) be the first derivative of 5*l**2 + 5*l + 1. Is s(r) composite?
True
Let s(v) = -v**3 - 2*v**2 - v - 1. Let a be s(-1). Let h be 0*(1 + a/2). Suppose h = -3*t + t + 130. Is t a composite number?
True
Let p(n) = 3*n**3 - 4*n**2 + 3*n - 2. Let k be p(2). Suppose l + k = -l. Let d(b) = b**2 - 8*b - 7. Is d(l) a prime number?
False
Suppose 0 = -0*s - 2*s + 10. Suppose -3*x = -3*l, -s*x - 5*l + 33 = -7. Is x a composite number?
True
Suppose 4*o = 4*s + 7552, 2*o - o - 4*s - 1873 = 0. Is o composite?
True
Let v(n) = n**3 + 9*n**2 - 4*n - 5. Let l = -7 + 1. Is v(l) a prime number?
True
Suppose a + 3*a + 4 = 0. Let i be -41*(a - -3)/2. Let r = -18 - i. Is r prime?
True
Let x be 2/((4/101)/(-2)). Let a be 4*(1 + x/(-4)). Suppose a = p + 4*p. Is p a prime number?
False
Let f be 0/(0 - 2/(-1)). Let t be (0/(-3 + f))/2. Let a(d) = d + 13. Is a(t) prime?
True
Let y(k) = -4*k**3 - 3*k**2 - 6*k - 6. Is y(-5) a prime number?
True
Suppose 3*n + 4*a + 118 = n, 0 = -3*n + 3*a - 132. Let k(q) = -86*q**2 - q + 1. Let p be k(1). Let c = n - p. Is c prime?
True
Suppose -2*y + 3*b = -5, 2*y - 2*b - 2 = -0*y. Let k be (-6252)/(-9) + y/(-6). Suppose 5*d = -0*d - 3*j + 695, 5*d - 4*j = k. Is d a composite number?
False
Suppose -4*o = 288 - 11300. Suppose -5*u - 5*k = -2765, -5*u - 4*k = -5*k - o. Is u composite?
True
Is 0 - (-3 - (2 - -2456)) prime?
False
Let n(u) = -122*u**3 - 2*u**2 - 2*u - 1. Let q = 8 - 9. Is n(q) composite?
True
Suppose 2*w + 3*i - 5*i = 776, -5*w = 3*i - 1924. Is w a composite number?
True
Suppose -8210 = -5*p + 1025. Let q = 2724 - p. Is q composite?
False
Suppose h - 7 = 3. Let i(b) = b**2 - b - 7. Is i(h) a composite number?
False
Let j = -305 + 644. Suppose m + 2*m = j. Is m a composite number?
False
Let v be (1 - -319)/1 + -3. Suppose 0*x - 3*x = i - v, -5*x + 15 = 0. Let g = i - 177. Is g a composite number?
False
Let a(q) = 3*q**3 - 7*q**2 - 6*q + 7. Is a(8) composite?
True
Let t be 1048/(-4)*-1*2. Suppose y - t = -3*y. Is y prime?
True
Let o(h) = h**2 - 3*h - 9. Let s(p) = -p + 16. Let t(k) = -k**3 - 2*k**2 + 6*k + 1. Let i be t(-4). Let z be s(i). Is o(z) a prime number?
True
Let m(i) = i - 1. Let v be m(2). Is (-606)/4*(v + -3) composite?
True
Suppose 3*o - 1811 = -206. Is o a prime number?
False
Let b be (-6)/3 - -1*5. Suppose -b*o + 6*o - 25 = 2*d, d = o - 7. Is o composite?
False
Suppose 2*t - 7*t + 30 = 0. Suppose -t*g + 484 = -2*g. Is g prime?
False
Is (-4)/(-12)*(-309 - 2)*-3 a prime number?
True
Let d be (6/5)/(1/5). Suppose 5*f - 2*c = -67, 4*c + 61 = -d*f + f. Let z = -3 - f. Is z prime?
False
Let o = -7 + 10. Suppose 8*p - 593 = o*p + a, -3*a + 6 = 0. Is p prime?
False
Let x(k) = -k + 33. Let a be x(27). Let f(o) = 20*o + 3. Let q(u) = 40*u + 6. Let v(p) = -11*f(p) + 6*q(p). Is v(a) a composite number?
True
Suppose -20 = -0*v - 4*v. Suppose -3*i + 6*i = -v*j + 462, 0 = 3*j - 9. Is i composite?
False
Let o be (-920)/(-9) - (-4)/(-18). Suppose 2*h + 675 = 5*i, -i = -4*h - 33 - o. Suppose 8 = -4*k - 12, 4*b - i = -k. Is b prime?
False
Let w(z) = -8*z. Let s be w(-1). Is s/(-20) - 2114/(-10) prime?
True
Suppose 0 = -4*h - 12 - 16. Let i(z) = -z**2 - 9*z + 10. Let r be i(h). Suppose 2*y + 28 = 2*w, 0 = 3*w - w + 2*y - r. Is w composite?
False
Let j be (1/1 - -488) + -1. Let v = j + -339. Is v a prime number?
True
Suppose 3*x = -4*s + 157, 0 = -3*x - 3*s + 40 + 116. Is x a prime number?
False
Let x be 6/2 + 1 + 3. Let m(i) = 16*i - 6. Is m(x) a composite number?
True
Let u = -4 - 2. Let j be u/(-9) - 16/6. Is (1/j)/(4/(-536)) prime?
True
Suppose 0 = -3*g + s + 126 + 480, 3*s = 0. Is g prime?
False
Let t = 1 + 4. Suppose 2*j - 289 = 5*l - 0*l, -t*j + 810 = 5*l. Is j a composite number?
False
Let b(z) = z**3 + 8*z**2 + 7*z + 1. Let p be b(-7). Suppose 3*o = 25 - p. Is (-2)/o - 2825/(-20) composite?
True
Suppose -k + 2*k = -2*a + 63, -5*k = a - 297. Is k prime?
True
Let x(a) = a**2 - 1. Let q be x(-2). Suppose -106 = -3*w + 4*r, w + q*w - 146 = 3*r. Is w a prime number?
False
Suppose 3*c - 7187 = -5*x, 2*c - 3*x + 7179 = 5*c. Is c prime?
True
Suppose 0 = -2*y - 3*y + 800. Suppose -3*g + 0*g + 6 = -2*c, 2*g = -3*c + 17. Suppose g*i + 4*p = y, -i + 5*p = -5*i + 163. Is i a composite number?
False
Suppose -4*l + 144 = -244. Is l a prime number?
True
Let i = 1 - -708. Is i a prime number?
True
Let d(a) = 21*a**2 + 3*a + 4. Let j be d(-3). Is (j/(-6))/(2/(-3)) a prime number?
False
Let u(j) = 25*j**2 - j - 1. Let z be u(-1). Let o be 10/z + 58/5. Suppose o = -c + 51. Is c prime?
False
Suppose 4*u = 2 + 10. Suppose -g + u*g = 0. Suppose 3*t - 77 - 88 = g. Is t composite?
True
Suppose 5*l = l. Suppose l*z = -5*z + 655. Is z composite?
False
Suppose -2*v + 6*v + 240 = -4*z, 4*z = -8. Let f = 145 - v. Is f a composite number?
True
Let t = -245 - -1644. Is t composite?
False
Suppose -7*j + 3*j = -5*q + 2, -2*j + 12 = 4*q. Is j/(-2) - (-76 + -2) a composite number?
True
Let y = 3 + -3. Suppose y*x - x = 0. Is 7 + (x - (-1 - -1)) composite?
False
Suppose -l + 4*l = 6. Suppose -u - n = -l, -u + 0*u = -2*n + 7. Is u/(1/38*-2) prime?
True
Let n(b) = 146*b - 21. Is n(10) a prime number?
True
Let d be 1/2 - (-6)/(-12). Suppose -5*r + r - 2*t + 1048 = d, -2 = t. Is r a composite number?
False
Is 9685/20 - (-3)/4 a prime number?
False
Let t(b) = 127*b - 2. Let n be ((-5)/4)/((-10)/40). Let p be t(n). Suppose -3*r = -6*r + p. Is r a prime number?
True
Is 1/(1*(-4)/(-892)) a composite number?
False
Let m = 14 - 10. Let g(l) = -27*l + 15. Let j be g(-5). Suppose m*b + 16 = 0, 4*n - j = 4*b + 86. Is n prime?
False
Let t be (-3)/(-9) - 22/(-6). Suppose -69 = -4*q + c, -t*q - 5*c + 23 = -q. Let d = q - 7. Is d composite?
True
Let h(w) = 3*w - 8. Let d(u) = -u + 1. Let n = 1 - -5. Let r(c) = n*d(c) + h(c). Is r(-7) a prime number?
True
Let i = -134 - -1207. Is i a composite number?
True
Let q(b) = 8*b**2 - 2*b + 9. Let k be q(6). Let g = k - 172. Is g a composite number?
False
Let p be (-2)/(-4) + 1/(-2). Let k(a) = a + 10. Let x be k(p). Suppose 0 = -3*w - 4*v + 657, -5*w - 1121 = -x*w + 2*v. Is w a prime number?
True
Suppose -100 = 2*y + 3*y. Is (y/(-6) - 0)*3 prime?
False
Let n(o) = 6 + 23*o**2 - 1 - 6. Suppose -1 - 2 = 3*h. Is n(h) prime?
False
Let l(q) = q**3 + 9*q**2 + 6*q - 11. Let p be l(-8). Let r(d) = 15*d - 1. Is r(p) a composite number?
True
Suppose 0*s + 3*x = -s + 346, 0 = s - 5*x - 306. Is s a prime number?
True
Suppose 0 = -b + 3*b - 4. Su
|
{
"pile_set_name": "DM Mathematics"
}
|
*2 + 0*p - 8*p. Let m(a) = 21*g(a) - 5*z(a). Find the second derivative of m(f) wrt f.
6
Let j(d) be the first derivative of 19*d**5/5 + 32*d + 10. Differentiate j(g) with respect to g.
76*g**3
Let z(f) be the second derivative of -13*f**5/20 + 7*f**2 - 3*f. What is the first derivative of z(q) wrt q?
-39*q**2
Suppose -9*v = -4*v + 10. Let y be 5/((-5)/v)*1. What is the third derivative of 0*c**6 + y*c**6 - 3*c**2 - 5*c**6 wrt c?
-360*c**3
Let a(w) be the second derivative of -w**3/6 - 7*w**2 + 13*w. What is the derivative of a(z) wrt z?
-1
Let w(v) be the third derivative of -v**8/112 + v**4/24 - v**2. Find the second derivative of w(d) wrt d.
-60*d**3
Suppose 0 = -d + 3*d - 6. Let p(z) = -z**2 + 8*z. Let t be p(8). What is the second derivative of -3*c**d + 0*c + c + t*c**3 wrt c?
-18*c
Let k(z) be the first derivative of -17*z**5/5 + 13*z + 6. Find the first derivative of k(u) wrt u.
-68*u**3
Differentiate 39 + 36 + 11*m - 72 wrt m.
11
Let t(b) be the second derivative of -4*b**5/5 - 29*b**4/12 - 25*b. What is the third derivative of t(j) wrt j?
-96
Let o(y) be the first derivative of 0*y - 1/5*y**5 + 1 + 0*y**3 + 0*y**4 + 1/2*y**2. Find the second derivative of o(w) wrt w.
-12*w**2
Let y(d) = 15*d**2 + 37. Let p(m) = m + 5. Let x be p(-3). Let j(l) = -4*l**2 - 9. Let t(s) = x*y(s) + 9*j(s). What is the derivative of t(z) wrt z?
-12*z
Let r = 10 - 9. Let g(d) be the first derivative of -d - r + 1/2*d**2. What is the derivative of g(o) wrt o?
1
Let m be ((-6)/(-4))/(1/2). What is the third derivative of 2 - 3*f**2 - 2 - 3*f**m wrt f?
-18
Suppose -1 = g - 3*w + 2, -5*g - 5*w + 25 = 0. Find the second derivative of -p - p + 2*p**2 + g*p + p wrt p.
4
Let a(f) be the second derivative of f**8/1680 - 5*f**4/24 - 5*f**3/6 + f. Let o(y) be the second derivative of a(y). Differentiate o(b) wrt b.
4*b**3
Let f(r) be the third derivative of r**6/6 - 23*r**5/60 + r**2 + 17*r. Find the third derivative of f(b) wrt b.
120
Let w = 1 + 1. Find the second derivative of w*f + 3*f - 7*f + 5*f**5 wrt f.
100*f**3
Let s(c) be the first derivative of c**4/4 + 7*c**3/3 - c**2/2 - 5*c + 3. Let j be s(-7). Differentiate -j*i**4 + 3*i**4 + i**4 + 3 wrt i.
8*i**3
What is the third derivative of 2*f**2 - 28*f**3 + 20*f**3 + 18*f**3 wrt f?
60
Let x(n) be the third derivative of 0*n + 1/35*n**7 + 0 + 6*n**2 + 0*n**4 + 0*n**6 - 1/60*n**5 + 0*n**3. Find the third derivative of x(g) wrt g.
144*g
Suppose q + 2*q = 9. Let u = q + -1. Differentiate -4*t - 4 + u + 4*t + 4*t wrt t.
4
Suppose -w = 2*w - 9. Suppose h - 6*h + 2*l = -4, h + l = 5. Differentiate h - g + 0 - w wrt g.
-1
Let c(g) be the first derivative of -g**5/10 - g**4/4 - 2*g - 3. Let a(j) be the first derivative of c(j). Find the third derivative of a(f) wrt f.
-12
Let h(z) be the second derivative of 0*z**4 + 3/20*z**5 + 2*z + 0 + 0*z**2 + 1/6*z**3. Find the second derivative of h(v) wrt v.
18*v
Let r(j) = -j**4 - j + 1. Let c(k) = 17*k**4 - 26*k - 6. Let i(f) = c(f) + 6*r(f). What is the second derivative of i(n) wrt n?
132*n**2
Let o(a) be the second derivative of -a**7/504 - a**6/720 + a**4/12 + 2*a. Let n(d) be the third derivative of o(d). Find the second derivative of n(t) wrt t.
-10
Let f = -9/10 - -23/20. Let i(h) be the second derivative of h - f*h**4 + 1/6*h**3 + 0*h**2 + 0. Find the second derivative of i(c) wrt c.
-6
Let d(z) be the third derivative of 2*z**5/15 + 5*z**3/6 + 11*z**2. What is the derivative of d(v) wrt v?
16*v
Find the third derivative of -8*z**3 - 16*z**2 + 5*z**3 - 14*z**3 - 5*z**3 wrt z.
-132
Let h(a) be the second derivative of -a**6/60 + a**4/8 - a**2/2 + a. Let r(t) be the first derivative of h(t). Find the second derivative of r(n) wrt n.
-12*n
Let r(x) = -25*x + 29. Let b(v) = -1. Let s(n) = 4*b(n) - r(n). What is the first derivative of s(y) wrt y?
25
Find the second derivative of 7*i + 8*i**3 - 7*i**3 - 19*i**3 wrt i.
-108*i
Let v(f) be the first derivative of 0*f**4 + 0*f**5 + 0*f**2 - f**3 - 2 - 1/3*f**6 + 0*f. What is the third derivative of v(m) wrt m?
-120*m**2
What is the derivative of -3*x**4 + 9 + 6*x**4 - 10 wrt x?
12*x**3
Let n be (-13)/(-5) - 6/(-15). Differentiate -3*l**2 + n*l**2 + 5*l**2 + 3 wrt l.
10*l
Differentiate 5*a**4 - 9 + 0 + 4 wrt a.
20*a**3
Let l(s) = 2*s**3 + 2*s**2 - 23*s. Let a(o) = -5*o**3 - 7*o**2 + 70*o. Let k(y) = -2*a(y) - 7*l(y). What is the second derivative of k(m) wrt m?
-24*m
Find the third derivative of 7*f**4 - 2*f**2 + 649*f**3 - 649*f**3 wrt f.
168*f
Let l be (-2 + 3)/((-2)/(-10)). Find the third derivative of -5*b**l + b**5 - 8*b**2 + 9*b**2 wrt b.
-240*b**2
Let i be ((-3)/3 + 0)*-4. Find the second derivative of 2*u - 2*u**2 - i*u + 0*u**2 wrt u.
-4
Let b(c) be the first derivative of -2*c**7/7 - 3*c**3 + 8. Find the third derivative of b(z) wrt z.
-240*z**3
Suppose 1 = -2*g + 9. Suppose 2 = -g*v + 5*v. Differentiate l**v - l + 1 + l with respect to l.
2*l
Let q(p) = p**2 + 4*p + 9. Let g(j) = -2*j**2 - 5*j - 10. Let c(s) = 4*g(s) + 5*q(s). Find the first derivative of c(i) wrt i.
-6*i
Let a(i) be the second derivative of -8*i**6/15 + 13*i**2 + 29*i. Differentiate a(j) with respect to j.
-64*j**3
Find the second derivative of -3*x**4 + 2*x - 7*x**4 + 29*x**4 - 8*x**4 wrt x.
132*x**2
Let n be 1/(-2 - (-28)/12). What is the derivative of -r + 0*r - 5 + n*r wrt r?
2
Differentiate y + 7*y + 1 + 3*y - 4*y wrt y.
7
Let a(i) = -7*i**4 + 5*i**3 + 11*i. Let r(z) = -z**4 + z**3 + z. Let v(d) = 4*a(d) - 20*r(d). What is the second derivative of v(n) wrt n?
-96*n**2
Let y(k) be the second derivative of -11*k**6/30 - 21*k**2/2 + k. Differentiate y(f) wrt f.
-44*f**3
Suppose -4*j - 10 = -6*j. Suppose j*q = -7*l + 2*l + 30, 5*l - 14 = -q. What is the first derivative of -o**2 + 0 - q*o + 4*o - 3 wrt o?
-2*o
Let v(m) = -6*m**2 + 4*m + 8. Suppose 2*b = -3*b + 15. Let r(l) = 2*l**2 - l - 3. Let q(k) = b*v(k) + 8*r(k). Find the second derivative of q(d) wrt d.
-4
Suppose 7*x - 2*x = 15. What is the second derivative of 5*z**3 - 4*z**3 + z**3 - 2*z + 5*z**x wrt z?
42*z
Let n(a) = 3*a**5 - 4*a + 1. Let i(q) = -q**5 + q - 1. Let x(t) = -i(t) - n(t). What is the second derivative of x(g) wrt g?
-40*g**3
Let v(m) be the second derivative of 0 + 2*m - 1/8*m**4 + 3/2*m**2 + 1/2*m**3. Let b(h) be the first derivative of v(h). Differentiate b(p) wrt p.
-3
Let f(j) = 28*j**3 - 2*j**2 - 2*j + 33. Let h(s) = 14*s**3 - s**2 - s + 17. Let w(a) = -4*f(a) + 7*h(a). What is the second derivative of w(o) wrt o?
-84*o + 2
Let x be 2/4 - (-3)/2. What is the first derivative of -4 + 3*u - x*u + 3*u + 0*u wrt u?
4
Let p be 21/15*(-5)/(-1). Find the first derivative of -2 - m**2 + 0*m**2 + p + 0 wrt m.
-2*m
Let d(k) = 4*k - 3. Let p(w) = w - 3. Let a be p(0). Let z(o) = o**4 - 12*o + 8. Let i(r) = a*z(r) - 8*d(r). Find the second derivative of i(u) wrt u.
-36*u**2
Suppose -4*y - 1 = 3*g + 4, 0 = -5*y - 25. What is the third derivative of 215*t - 215*t + 3*t**2 - g*t**5 wrt t?
-300*t**2
Suppose 0*m - m + 5 = 0. Find the second derivative of -3*k**m - 16*k + 18*k + 9*k**5 wrt k.
120*k**3
Find the second derivative of 42*g**4 - 4*g**4 - 6*g - 17*g**4 wrt g.
252*g**2
Let p(c) = c**2 - c + 1. Let d(m) = -m**4 + 3*m**2 - 3*m - 9. Let s(r) = d(r) - 3*p(r). Differentiate s(q) with respect to q.
-4*q**3
Let m(s) = 0*s + 0*s + 2 - s**3 + 5*s**2 - s**2 - 4*s. Let i be m(2). What is the second derivative of -i*z - 3*z**4 - z + 7*z**4 wrt z?
48*z**2
Let d(k) be the third derivative of k**6/24 + k**4/24 + k**2. What is the second derivative of d(z) wrt z?
30*z
Let t(i) = 4*i - 1. Let u be t(1). Find the third derivative of u*x**2 - 52*x**3 + 3*x - 3*x + 50*x**3 wrt x.
-12
Let v(p) be the second derivative of 0*p**2 + 3*p + 0*p**4 + 1/6*p**3 - 1/20*p**5 + 0. Find the second derivative of v(w) wrt w.
-6*w
Let g(f) = 7*f**3 + 6*f + 4. Let b(l) = 13*l**3 + 11*l + 7. Let j be 1/(1/6 + 0). Let r(x) = j*b(x) - 11*g(x). What is the first derivative of r(w) wrt w?
3*w**2
Let g be (20/(-25))/(1/(-5)). Suppose 4*p - 29 = 3*u, -2*p - g*u - 2 = -0. What is the third derivative of 2*f**2 + 0*f**5 + 0*f**2 - 2*f**p wrt f?
-120*f**2
Let k(x) = 19*x**3 - 2*x. Let b(z) = 76*z**3 + z**2 - 9*z. Let s(g) = -2*b(g) + 9*k(g). Find the third derivative of s(n) wrt n.
114
Find the second derivative of -3*h**
|
{
"pile_set_name": "DM Mathematics"
}
|
-9*v = -26 + 26. Solve -3*n - 12 = -h - 2*h, v = 5*h - 15 for n.
-1
Let g = 53 + -53. Suppose 2*c - 6 = -g. Suppose -51 = -2*t + 5. Solve 5*w - c = -t, -18 = 2*q + 2*w for q.
-4
Suppose 3*j + j = 12. Let z(w) = w**2 - 12*w + 8. Let u be z(10). Let l be (-3)/(-3 - 33/u). Solve 0 = 2*q + j*a, 4*q - 3*a + l = 2*q for q.
-3
Suppose 5 = 24*u - 91. Solve -5*i - u = 5*f - 14, f = 2*i - 4 for i.
2
Suppose -13*g - 144 = -31*g. Solve -4*a + 10 = -2*h, -4*a + g = -5*h - 5 for a.
2
Suppose -28 = 5*c + k, -4*c + k = -3*c + 8. Let x be ((-36)/5)/(c/15). Let t = x + -13. Solve 9 = l + 3*u, -t*l - 2*u + 6 = -0*l for l.
0
Let j be (-6)/14 + (-2 - 1240/(-35)). Suppose 30 = j*f - 27*f. Solve l + f*s + 24 = 0, -3*l + 0*l + 2*s - 4 = 0 for l.
-4
Suppose 5*c - 24 = -4, 0 = z - 2*c + 3. Suppose -z*s + 26 = 1. Suppose 10 = 5*f + 2*b, -b + 10 = s*f - 3*b. Solve 0 = -5*a + p - f, 0*a - 2 = 4*a - p for a.
0
Let q be (16/22)/((-122)/(-671)). Solve 3 = 11*t - 14*t, q*d + 2*t = 18 for d.
5
Let u = -12 - -20. Let a(i) = -i**2 + 9*i - 3. Let s be a(u). Let q(n) = 3*n - 5. Let h be q(4). Solve 0*p + 4*m + 10 = s*p, p + m = -h for p.
-2
Let p be 196/84 + 4/(-3) - -2. Solve 4*u + p*b = -16 - 1, -4*b - 6 = -3*u for u.
-2
Let v(a) = 2*a**3 - 3*a**2 - 3. Let t be v(3). Let g be (-1)/(-2) - (-132)/t. Solve -3*c + 3*q - g = 0, 5*c + 0*q + 3*q = 14 for c.
1
Let n(x) = -x**2 + x + 10. Let h be (2/1)/((-10)/(-15)). Let l be n(h). Solve 5*s - 10 = 4*f - 0*s, l*f = -5*s + 10 for f.
0
Let g = -25 + 35. Suppose -5*j - 25 = 0, -2*k + 2*j = k - 58. Let u = k - 12. Solve -5*y - 18 = -4*d, d = u*y - 0*d + g for y.
-2
Suppose -112 = -54*h - 2*h. Solve -h*i + p = -4, -8*i + 3*i + 36 = 4*p for i.
4
Let f be 2/4*-4 + 17. Let s = -2 - -2. Suppose s = u + 3*m + m - 7, -4*u + 10 = -2*m. Solve -l - 12 = 5*d, -u*d + 8*d = -f for l.
3
Let d(z) = -z**3 - 10*z**2 + 10*z - 11. Suppose 2*y = 5*a - 47, -a + 14 = y + 4*a. Let f be d(y). Let g = 2 - f. Solve v + g = -q - 2, 2*v - 3*q = 12 for v.
0
Let g(v) = -197*v - 381. Let s be g(-2). Solve o + 16 = 4*u, -3*o + s*u - 16 = 9*u for o.
0
Suppose 26*r = -48 + 308. Solve -4*t - 26 = -2*g, -g = 2*t - 3 + r for t.
-5
Let j = -12 + 17. Let i(p) = -p**3 - 7*p**2 + 2*p - 9. Let m be i(-8). Let w be m/15 - (-2)/j. Solve 2 = 2*z + 2*r, 5*z = -0*z - w*r - 5 for z.
-4
Suppose 0 = -59*s + 14*s + 135. Solve 0 = -4*k - s*q + 7, 3 - 20 = -4*k - 5*q for k.
-2
Suppose 2*h + 0*h - p - 43 = 0, -5*h - 3*p = -80. Solve -3*o = w + 1, 3*w + 0*w - 2*o - h = 0 for w.
5
Let f(n) = -3*n. Let p be f(-5). Let q = -176 - -179. Solve -3*u + 3*x = x + 15, 3*x = q*u + p for u.
-5
Let i = -6 + 10. Suppose r = -i*r. Suppose 11*v - 10*v - 5 = 0. Solve 4*l - 20 = -l + v*x, -2*l - 5*x - 27 = r for l.
-1
Suppose -59 = 9*j - 113. Solve 0 = 2*l - 4*w - j + 10, -w = -4*l - 1 for l.
0
Suppose -2*d - y + 3 = -7*d, -5*y + 15 = 0. Solve 4*i + d*i = -5*l - 17, 5*i - 5*l + 10 = 0 for i.
-3
Let y be ((-36)/(-14))/(2/(-210)*-5). Let d = y + -38. Let v = 6 - 3. Solve -12 = -v*a + 2*l, 4*a + 3*l - 2*l - d = 0 for a.
4
Let s = 23 + -21. Let v(m) = -m**2 + 14*m - 3. Let f be v(6). Suppose -3*h - 38 + 15 = -w, 5*w - h - f = 0. Solve w = -4*y, o + 3 = -y + s for o.
1
Suppose -3*s = 4*w - 42, 2*w + 8 - 4 = s. Solve -2*y - s = -4*f, 0*y + f = 2*y - 2 for y.
3
Suppose 3*d = -9 - 6, 2*f = d - 111. Let j = -56 - f. Solve -9 = 5*x + 2*s - j, -13 = 3*x - s for x.
-3
Suppose 2*b = 1 + 5. Solve -2*g = 4*y + 24, 5*g - b*y = -0*g + 5 for g.
-2
Let q be 177/5 - 18/45. Suppose 8*s - q = s. Solve l + s*y - 12 = 2*y, 3*y = 5*l - 6 for l.
3
Suppose l + 5*l - 150 = 0. Let r = -23 + l. Let u be 30/6 - (-1 + 2). Solve -2*v - v + 2*x = -r, 4 = 2*v - u*x for v.
0
Suppose 2*y + 220 = -5*k + k, -3*k = 2*y + 164. Let h = k - -58. Solve 0 = 2*i + 4*c - 14, 3*c + 2*c - 19 = -h*i for i.
-3
Let i be 4/6 - 8/(-24). Let v = 6 - 1. Suppose -2*b + v*m = 7, -4*m + 6*m - 6 = 0. Solve -4 = -b*h, 2*x + 4 - i = 5*h for x.
1
Let p(b) = b**3 + 23*b**2 - 25*b - 26. Let t be p(-24). Let i be (t - (1 + -2))*(-3)/1. Solve 2*c - i*k - 12 = 0, -2*c + 4*k + 17 = c for c.
3
Suppose n = 3*n - 6. Let p be (2 + -2)/(-18 + 20). Solve 2*i - i = -4*x + 15, p = -2*x - n*i + 5 for x.
4
Suppose 0 = 2*b + 4, -4*b + 2 = u - 5. Suppose 5*j + 16 = -2*z + j, 5*z - u = j. Solve -5 - z = -c + 4*y, 2*y + 11 = -c for c.
-5
Let i(a) = -a**2 + 23*a - 126. Let r be i(10). Solve -s - 3 = o, 3*o - r*s = 29 - 10 for o.
1
Let t(n) = -13*n**2 + 222*n - 12. Let k be t(17). Solve 5 = -4*j + k*s - 9, -s = -j - 3 for j.
-1
Let x be 46/5 + -9 + 19/5. Solve 5*g - 27 = -d, -4*g = -x*d - 3 - 9 for g.
5
Let v be ((4/5)/1)/((-2)/(-10)). Suppose 0 = -10*g + 5*g - 10. Let k be (-2)/v*4*g. Solve 4*m + 8 = -2*d, k*m + 14 = 3*d - 14 for m.
-4
Suppose -2*h + 55 = -3*b - 5, h = 4*b + 85. Let v = b + 25. Solve 3*i + 24 = 3*l - 6*l, -i - v*l - 14 = 0 for i.
-5
Let i = 39 + -35. Suppose -3 = b - 7. Suppose 3*k = -n + 3, -3 = -b*k - 2*n + n. Solve -2*t - i*o + 6 = 0, k*t + 2*o - 5 = -3*t for t.
1
Let l = 1855 - 1852. Solve -8*p = -5*p - l*j + 15, -2*p - 2*j = 10 for p.
-5
Let s(n) = -2*n**3 + 2*n**2 + 2*n + 3. Let d be s(3). Let b be 12/d*3*-12. Solve 4*y = -4*k - b, y - 2 = k - 0 for k.
-3
Let g = -21 - -7. Let r = 14 + g. Solve r = w - 3*w - 2*y, 8 = -w - 5*y for w.
2
Suppose 0 = -p - 1, 2*p + 2 = 3*v - 0. Solve -3*w + 0*w - x = -10, -w + 2*x - 6 = v for w.
2
Suppose 11 = 9*u - 25. Suppose 14 = 5*i + u. Solve -q = i*d + 7, q - 6 = 3*d - 2*q for d.
-3
Suppose 0 = 3*b, 3*b - 7*b = 4*c. Suppose -3*k - 2 = g, -5*g = -c*k - k + 10. Solve k*q = -5*a + 2*q + 7, -4*a + 3*q + 7 = 0 for a.
1
Let s(w) = -w + 4. Let f be s(4). Suppose f = -b + 5 + 7. Let n be (0 + 0)/3 - -2. Solve h - b = 2*t - 3*h, -4*t = n*h - 16 for t.
2
Let a(j) = -11 - 4*j + 6*j + 13*j**2 - j - j**3. Let c be a(13). Let u be c/(-4)*1*0. Solve u = n + 2*y - 1, -n + 0 = y - 1 for n.
1
Let y(n) = -3 - 1 + 3*n + 5. Let h be y(1). Solve -3*k = -3*l, -2*l - 1 = -h*k + 1 for l.
1
Suppose 3*d + b - 159 = 7*d, 5*d - 3*b + 190 = 0. Let k = -39 - d. Solve 5*m - 19 = -2*q, m + 3 = -k*q + 2 for q.
-3
Let p be (0 - 3)*72/(-54). Suppose 5*k - 7 = 2*h + 1, -2*k - h = p. Solve k*f + 5*i - 10 = 2*f, -2 = -f - i for f.
0
Suppose 0 = -4*y + 46 - 54. Let n be (10/(-4))/(1/y). Solve z + p + 5 = 2, -z = -p - n for z.
1
Suppose 4*h - 8 = 4*r, 2*r + 5*h - 42 = -11. Suppose 0 = -4*y + 3*y + 2. Solve r*t = y*t - 4, -4*v - 8 = 5*t for v.
3
Let p = -125 - -127. Solve -2*x = 2*x - 5*z + 6, 0 = -p*x - 2*z - 12 for x.
-4
Let k(z) = z**2 + 13 - 19*z + 7 - 8. Let p be k(19). Solve 0 = -3*t + p, -5*d - 5*t + 11 = 1 for d.
-2
Suppose 37 = -4*m + 73. Solve -2*o - 4*g + m = -3, 0 = -o + g for o.
2
Let x be 9/(-18)*(1 - 15). Suppose 3*j = x*j - 12. Let z(f) = -f**2 - 5*f + 4. Let d be z(-5). Solve 3*g + j*m = 1 - 4, d*m = -g + 2 for g.
-2
Let w(m) = -m**2 + 16*m + 1. Let p = 30 - 44. Let g be 245/p*(-8)/10. Let x be w(g). Solve -b + 0*i - 8 = i, -4*b = 3*i + x for b.
-5
Let z(k) = -3*k + 6. Let p be z(4). Let r = 4 - p. Suppose -8 = -r*w + 6*w. Solve -8 = -c - w*c - b, -c = 3*b - 8 for c.
2
Suppose -4*w + 39 = 5*p, -5*w = -7*w - 2*p + 22. Solve -2*n - w = 2*n + t, 5*n = -5*t - 20 for n.
-4
Suppose 10*u = 2*u + 40. Suppose -2*a - 6 = -5*a. Suppose 3*c - 5*r - 34 = -0*c, -4*c = -a*r - 22. Solve 9*h - u = 2*q + 4*h, h = c for q.
5
Suppose 3*x - 11 = -l, -x + 6 - 1 = -l. Solve 0 = 2*k + 4*r + 8, -x*k + r = -0*r + 16 for k.
-4
Let r(l) = l + 10. Let h be r(-7). Let t = 3 - -2. Suppose 0 = -3*k - 4*d, -2*d - 27 + 9 = -3*k. Solve t*o + 4*m - 20 = h*m, -o + 25 = -k*m for o.
5
Let h(u) = -20*u**3 + 19*u**3 - 1 - u + 7*u + 4*u**2. Let m be h(5). Let s be (8/m)/(1/2). Solve 5*l = 2*c - 5, 1 = 3*l - s*l for c.
0
Let k be 13/3*(3 - 0). Suppose 0*g + k = g. Suppose 4*p - 19 = -4*t + g, 0 = -3*p. Solve 0 = -3*n + n - 4*y + t, 2*n - 4*y = -24 for n.
-4
Suppose -12 = -9*a + 7*a. Let c(p) = p**3 - 5*p**2 - 7*p + 10. Let v be c(a). Solve -2*n = v, -5*g - 3 - 20 = 4*n for g.
-3
Suppose -13*g + 11*g - 60 = 0. Let t be ((-3)/(-21) + -1)/(g/140). Solve 5*y = -5, 2*j + 0*y + 6 = -t*y for j.
-1
Let l(z) = z**2 - 9*z + 13. Let x be l(8). Suppose 3*h = -x*y + 10, -3*y + 4*y + 6 = h. Solve 4*n = g - 4*g + 16, -4*n + h*g - 16 = 0 for n.
1
Let t = -116 + 124. Suppose s = -s + t. Solve 5*q + 8 = -2*a, -7 = s
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{
"pile_set_name": "DM Mathematics"
}
|
*4 + 744*m**3 - 13*m**2 - 2412*m - 3 wrt m.
2592*m + 4464
What is the third derivative of 932978*q**3 + 332973*q**2 wrt q?
5597868
What is the third derivative of -3*k**2*q*t*u**2 + 25639*k**2*t**3*u**3 - 140*k*q**3*u**3 + 2*k*t*u**3 - q**3*t**3*u**3 - 9*q*t**2*u wrt t?
153834*k**2*u**3 - 6*q**3*u**3
Find the third derivative of -11104*u**5 - 8*u**3 + 11*u**2 + 2730.
-666240*u**2 - 48
Find the third derivative of 426424*l*p**3 + 83*l*p - 2*p**3 - 2*p**2 - p + 39 wrt p.
2558544*l - 12
Find the third derivative of -2*m**3*n**2 + 4*m**3*n + 1314*m**3 + 48*m**2*n**2 + 97*m**2 - m wrt m.
-12*n**2 + 24*n + 7884
Find the second derivative of 7*d**5 + 2*d**4 - 314*d**3 - 77024*d.
140*d**3 + 24*d**2 - 1884*d
What is the first derivative of 9405*q**2 - 29217?
18810*q
What is the derivative of -8*c**2 + 121336*c - 631451 wrt c?
-16*c + 121336
Find the third derivative of -151102*c**3*m*z**3 + 2*c**3*z**3 + 8*c**2*z**3 + 3*m*z**2 + 122*m*z wrt c.
-906612*m*z**3 + 12*z**3
What is the derivative of -875525*v + 3909428 wrt v?
-875525
Differentiate 428018*d*x - 589*x - 47 with respect to d.
428018*x
What is the derivative of 7*j*k**3 - 4292*j*k**2 + 2*j*k + j - 15*k**3 + 140*k**2 - 41*k wrt j?
7*k**3 - 4292*k**2 + 2*k + 1
Find the third derivative of -449*b**4*i**3 - 18*b**4*t - b**3*t - 76*b**2*i - 2*b*t - 47*b - 3*i**3*t wrt b.
-10776*b*i**3 - 432*b*t - 6*t
What is the first derivative of -581*b**2 + 168*b + 242904 wrt b?
-1162*b + 168
Find the third derivative of -389*i**6*o + 72*i**3*o**3 - i**3*o - 24*i**2*o + 1382*i*o**3 wrt i.
-46680*i**3*o + 432*o**3 - 6*o
Differentiate 5*c**2*y + 328020*c**2 - 2*c*y**3 - 3*c - 3681*y**3 wrt y.
5*c**2 - 6*c*y**2 - 11043*y**2
What is the third derivative of -1819855*v**5 - 728302*v**2?
-109191300*v**2
Differentiate -55*h**2*j**2 - 12*h**2 + 28*h*j**2 - 43*h*j + 2*h + 5848 wrt j.
-110*h**2*j + 56*h*j - 43*h
Find the third derivative of -112*t**4 + 993*t**3 - 920497*t**2 wrt t.
-2688*t + 5958
What is the second derivative of -50337*c*q**2 + 2701*c*q + c + 2*q - 1 wrt q?
-100674*c
What is the second derivative of 25*s**4 + 320*s**3 - 133968*s wrt s?
300*s**2 + 1920*s
What is the third derivative of 3*q*u**4 + q*u**3 + 2*q*u**2 + 20607*u**4 + 12484*u**2 - 77 wrt u?
72*q*u + 6*q + 494568*u
What is the third derivative of -2506*q**6 - 16*q**5 + 134898*q**2 - q wrt q?
-300720*q**3 - 960*q**2
What is the second derivative of 53759*x**2 - 3113*x?
107518
What is the third derivative of 910*n**4 + 40*n**3 + 1279602*n**2?
21840*n + 240
What is the first derivative of -10*d**2*f + 3689*d**2 - 5*d*f - 68*f + 427 wrt d?
-20*d*f + 7378*d - 5*f
What is the derivative of 133*i**2*o**3 - i*o**3 - 720*i*o**2 - 2525603*o**3 wrt i?
266*i*o**3 - o**3 - 720*o**2
Differentiate j**2*l**3 + 12530*j**2 + 175069*l**3 with respect to l.
3*j**2*l**2 + 525207*l**2
Find the third derivative of -7*m**6 - 1860*m**5 + 916*m**2 - 7*m + 5 wrt m.
-840*m**3 - 111600*m**2
What is the third derivative of 287189*x**3 - 221692*x**2 wrt x?
1723134
Find the second derivative of 5802*i*j**2 + 15*i*j - 4*i - j**2 + j + 31 wrt j.
11604*i - 2
What is the derivative of -184701*o**2*t - 115*o**2*u**2 - o**2 + 2*o*t*u**2 + 8*o + 10*u**2 wrt t?
-184701*o**2 + 2*o*u**2
Find the third derivative of 1197538*o**6 - 1488220*o**2 wrt o.
143704560*o**3
What is the first derivative of 488026*h**2 + 237312?
976052*h
Find the second derivative of 61020*d**3*l**2 + 10157*d**3*l + 33*d**3 wrt l.
122040*d**3
Find the second derivative of -23796*t**4 + 34238*t.
-285552*t**2
What is the third derivative of -7*u**5 - u**4 + 738*u**3 - 179*u**2 + 147*u - 2?
-420*u**2 - 24*u + 4428
Find the third derivative of -68702*j**3*p - j**2*p + 5*j**2 - 4*j + 102*p + 10 wrt j.
-412212*p
What is the derivative of 354069*c**2 + 38826?
708138*c
What is the derivative of 602748*a - 744762?
602748
What is the second derivative of 3*h**4 - 8794*h**2 + 2380*h + 10?
36*h**2 - 17588
What is the third derivative of 1464*m**3*s**3 - 14*m**3*s**2 - m**3 - 2*m**2*s**2 + 352*m**2 + 2*m*s + 3*m - 4*s**3 wrt m?
8784*s**3 - 84*s**2 - 6
Find the third derivative of 3*j**4 - 9157*j**3 - 41*j**2 - 167*j - 1 wrt j.
72*j - 54942
What is the third derivative of 78319*f**5 + 3207*f**2 wrt f?
4699140*f**2
What is the second derivative of -18*c**4 - 733*c**2 + 2157*c - 2?
-216*c**2 - 1466
Find the second derivative of 166025*w**4*x**3 - 33874*w*x**3 + x**3 wrt w.
1992300*w**2*x**3
Find the third derivative of 2944046*l**2*s**3 - 10*l**2*s**2 + 63*l**2*s + l**2 - l*s**2 - 5*l wrt s.
17664276*l**2
Differentiate 54*t**2*z - 309*t*z - 201*z + 7 with respect to t.
108*t*z - 309*z
Find the third derivative of -1024959*p**6 + 2*p**3 + 2*p**2 - 31*p + 8955 wrt p.
-122995080*p**3 + 12
Find the third derivative of -280277*s**3 - s**2 - 378497*s + 2 wrt s.
-1681662
What is the first derivative of -48696*m**2 + 38088 wrt m?
-97392*m
What is the third derivative of 160*l*o**3*u - 8*l*o**2*u**2 + 2*l*o*u**2 + 9*l - 4*o**3*u**2 - 56*o**3*u - 3*o**2 - u**2 - 18*u wrt o?
960*l*u - 24*u**2 - 336*u
Find the second derivative of -45*i**4 - 2*i**3 - 85*i**2*k + 5*i*k - 19093*k wrt i.
-540*i**2 - 12*i - 170*k
Find the second derivative of 4794*h**3*y**3 - 192*h**3*y + h**2*y + 6*y**4 + 5*y - 57 wrt y.
28764*h**3*y + 72*y**2
Find the first derivative of -482322*w**3 - 1703214.
-1446966*w**2
Find the third derivative of 359017*v**5 + 5*v**2 - 2623*v.
21541020*v**2
Find the third derivative of -3*f**3*h**3 - 64*f**3*h + 3*f**2 - 1768*f*h**4 + 44*f + h**2 wrt h.
-18*f**3 - 42432*f*h
What is the third derivative of 3*k*x**4 + 5*k*x**3 + 4*k*x**2 + 7759*k*x + 504*x**4 - 2*x**3 + 7*x**2 wrt x?
72*k*x + 30*k + 12096*x - 12
What is the derivative of -2*k**2*t + 235*k**2 + 2*k*t + 212*k + 2715490*t wrt k?
-4*k*t + 470*k + 2*t + 212
Find the third derivative of -h**2*x**4 + 2*h**2*x**2 - 8*h**2*x - 70*h**2 + 1338*h*x**6 - 2*x**2 wrt x.
-24*h**2*x + 160560*h*x**3
Differentiate -4*a*p**2 + 7824*a*p*u**3 - 516*p**2 - 4*u**3 with respect to a.
-4*p**2 + 7824*p*u**3
Find the second derivative of 1333*s**3 + 4*s**2 + 10329*s wrt s.
7998*s + 8
Differentiate -2*o**4 - 34*o**3 + 4*o**2 + 90100 with respect to o.
-8*o**3 - 102*o**2 + 8*o
Find the second derivative of -25*q**2*v**2 + 113*q**2*v - 52*q**2 - 271*q*v**2 - q*v + q wrt v.
-50*q**2 - 542*q
What is the first derivative of 9979*f - 55865?
9979
Differentiate 2571690*o + 2909345.
2571690
Differentiate 1290914*c + 286133 wrt c.
1290914
What is the third derivative of -21*l**4*x**2 - 9*l**3*x + 246*l**3 + 2*l**2*x**2 - 151949*l*x**2 wrt l?
-504*l*x**2 - 54*x + 1476
What is the derivative of 951853*r + 212711?
951853
Find the first derivative of -75*c*s*z - 77*c*s + 41*c*z - 146*s - 1 wrt z.
-75*c*s + 41*c
What is the first derivative of -2*j**2*m + 17*j**2*t + 58144*j**2 + 104*j*t**3 + 8*m*t**2 - m wrt t?
17*j**2 + 312*j*t**2 + 16*m*t
Find the third derivative of -282543*p**3*s**2 + 606684*p**2*s**2 wrt p.
-1695258*s**2
What is the first derivative of 834813*j**4 - 2*j**3 + 233451 wrt j?
3339252*j**3 - 6*j**2
Find the second derivative of 61*o*r**4 - 15*o*r**3 - o*r - r - 731 wrt r.
732*o*r**2 - 90*o*r
What is the first derivative of 10*l**2*u*y - l**2*u - 313*l**2 - 66*l + 2931*u*y + 5*y wrt y?
10*l**2*u + 2931*u + 5
What is the derivative of 3*n*w**2 + 54783*n + 190*w**4 + 11*w**3 wrt w?
6*n*w + 760*w**3 + 33*w**2
What is the third derivative of -752648*z**3 + 649507*z**2 - 2*z wrt z?
-4515888
What is the third derivative of -70*l**6*t + 160*l**4*t + 238*l**2*t - 5*l**2 - 2*l wrt l?
-8400*l**3*t + 3840*l*t
Find the third derivative of -51135*q*s**6 - 22*q*s**2 - 442*s**2 wrt s.
-6136200*q*s**3
What is the third derivative of l**6 - 47*l**5 - 306*l**4 - 2865068*l**2 wrt l?
120*l**3 - 2820*l**2 - 7344*l
Find the third derivative of 424965*l**3*o + 34*l**2 + 2*l - 36*o + 6 wrt l.
2549790*o
What is the derivative of -3*g**4 - 34660*g + 190200?
-12*g**3 - 34660
What is the second derivative of g**4 + 2*g**3 + 7243*g**2 - 972*g - 3?
12*g**2 + 12*g + 14486
Find the first derivative of 853*h**3 + 3*h**2*n + 7*h*n**2 + 116493*n**2 wrt h.
2559*h**2 + 6*h*n + 7*n**2
Find the second derivative of -2789*i**3*r**3*s - 669*i**3*s + i**2*r**3 + 2*i**2*r*s wrt r.
-16734*i**3*r*s + 6*i**2*r
Find the third derivative of -388
|
{
"pile_set_name": "DM Mathematics"
}
|
b95b86 (base 13) in base 8?
-65337044
What is -246090 (base 10) in base 13?
-88020
What is -118199 (base 14) in base 4?
-2102013323
a297a (base 12) to base 8
636356
Convert a26723 (base 12) to base 3.
11210002212100
Convert -180883 (base 9) to base 13.
-3c135
What is -51a89 (base 11) in base 9?
-125030
What is -42e3a (base 16) in base 3?
-111220211100
Convert 10101011000010010011 (base 2) to base 14.
143443
Convert -10311311 (base 4) to base 8.
-46565
Convert 4898573 (base 10) to base 7.
56431361
-221040 (base 5) to base 13
-3631
Convert -22204500 (base 6) to base 9.
-1230680
What is -959d58 (base 14) in base 11?
-2946575
Convert 2144a32 (base 12) to base 16.
6050c6
What is -111210413 (base 5) in base 7?
-4114350
-36912 (base 12) to base 11
-5056a
377594 (base 16) to base 14
6a87ac
b7836 (base 14) to base 6
13300440
6224146 (base 7) to base 11
46a339
What is -621746 (base 8) in base 16?
-323e6
Convert -22521514 (base 6) to base 4.
-2221230112
-3103545 (base 6) to base 13
-5283b
1000012102 (base 3) to base 6
231445
What is 167a964 (base 14) in base 16?
a8ae5c
Convert -221202210221 (base 3) to base 13.
-149b60
What is -124363440 (base 7) in base 10?
-7948563
121001221222 (base 3) to base 6
10440342
102104202 (base 5) to base 3
210121202012
889064 (base 11) to base 13
3a8310
-205147 (base 13) to base 9
-1368014
What is -9c39c7 (base 13) in base 2?
-1110000101100001100100
-346886 (base 10) to base 9
-577748
Convert -8188b6 (base 13) to base 6.
-144404050
Convert 115542032 (base 6) to base 2.
1000100010001110100100
Convert 10122121010 (base 3) to base 15.
1646c
What is 2262a2 (base 11) in base 15?
718b9
Convert 43b55 (base 14) to base 6.
3303503
Convert 134 (base 12) to base 6.
504
47b39 (base 15) to base 10
228654
What is 1220111010 (base 3) in base 9?
56433
Convert -5c583 (base 14) to base 13.
-7bbb7
-91323 (base 10) to base 11
-62681
What is 41f46 (base 16) in base 4?
1001331012
636463 (base 8) to base 15
42d6a
What is -1184134 (base 9) in base 16?
-9db76
What is 4660 (base 14) in base 4?
2333030
5535254 (base 7) to base 8
2462567
-176962 (base 10) to base 6
-3443134
Convert 132432160 (base 7) to base 14.
11c65a0
Convert -444441 (base 9) to base 5.
-32000332
Convert 310302313 (base 4) to base 6.
4345051
-2635543 (base 8) to base 16
-b3b63
What is -14283c (base 15) in base 7?
-11151252
What is -2257680 (base 10) in base 7?
-25122105
What is 1288b (base 13) in base 16?
8676
53434054 (base 6) to base 11
9867a8
-39bc13 (base 13) to base 4
-11111012103
What is -b14c8 (base 16) in base 13?
-1c571a
272b21 (base 12) to base 13
198b80
What is -92889 (base 10) in base 15?
-1c7c9
5e6db2 (base 15) to base 13
c27581
What is 3418d (base 14) in base 3?
20102120212
Convert 216781 (base 10) to base 12.
a5551
Convert 7c3b6 (base 16) to base 5.
112240404
What is 3362 (base 16) in base 7?
53231
1234742 (base 8) to base 15
6b733
Convert -122121121000 (base 3) to base 12.
-148783
Convert 425065 (base 8) to base 15.
2c087
What is 26783 (base 10) in base 8?
64237
Convert -1010222101201 (base 3) to base 13.
-1846b7
Convert 108767e (base 15) to base 10.
11820719
Convert 263c14 (base 13) to base 10.
922588
Convert 100001001110011001101 (base 2) to base 13.
2c1716
Convert -331201331200 (base 4) to base 6.
-1333415224
-868255 (base 9) to base 11
-32403a
What is -65614 (base 13) in base 16?
-2cc56
324135 (base 6) to base 4
12203123
-200222001222202 (base 3) to base 6
-1000010415
What is 1010011001101001101110 (base 2) in base 5?
1144222020
Convert -1212100010122 (base 3) to base 5.
-223201214
6da424 (base 15) to base 3
100212200100121
What is d6a17c (base 14) in base 3?
111122100001211
-5061 (base 14) to base 16
-35ed
What is -152b35a (base 12) in base 16?
-417a36
Convert -11112335 (base 6) to base 10.
-336227
Convert -21b54 (base 14) to base 7.
-460334
110011111111001101011 (base 2) to base 11
a63985
-100011011001000010000011 (base 2) to base 14
-1337079
What is 17480082 (base 9) in base 10?
8791814
5796656 (base 10) to base 7
100161605
14888855 (base 9) to base 3
111222222221212
What is -12020044142 (base 5) in base 16?
-d30c04
What is -123800 (base 16) in base 3?
-2020122211122
Convert -7e9475 (base 16) to base 14.
-115d229
What is -1100010101101000 (base 2) in base 3?
-2120022201
What is 124584 (base 12) in base 14?
7a884
-2784118 (base 11) to base 16
-4922ef
4346e (base 16) to base 7
2225254
Convert a455b (base 14) to base 6.
12254125
What is -2214220404 (base 5) in base 12?
-1752555
What is 83b0ab (base 15) in base 14?
b90c01
-5744a4 (base 14) to base 4
-23111011100
What is -122706 (base 9) in base 12?
-36b36
Convert 6205032 (base 7) to base 12.
2b8b66
Convert 11100010011001001 (base 2) to base 8.
342311
What is 11613202 (base 7) in base 6?
34224324
What is 5114577 (base 9) in base 2?
1010011001100100111110
434303 (base 8) to base 3
21101201201
What is 34474644 (base 8) in base 9?
15104126
What is 111010101111111101 (base 2) in base 12?
b7311
-12a268 (base 14) to base 3
-1012122110021
Convert -2785333 (base 12) to base 11.
-44a8a69
What is 264726 (base 10) in base 15?
53686
101100110000100 (base 2) to base 9
34382
Convert -33c7a4 (base 13) to base 12.
-4b2263
Convert -19d2 (base 14) to base 3.
-20102210
Convert -55142 (base 6) to base 2.
-1110111000110
What is -11982e (base 15) in base 12?
-34748b
What is -13939 (base 16) in base 10?
-80185
-24cc1c (base 13) to base 5
-211311442
Convert 16b668 (base 12) to base 11.
249465
Convert 10010200201001 (base 3) to base 13.
4649c5
222311301133 (base 4) to base 14
16c4967
What is -10022112221 (base 3) in base 9?
-108487
169b37 (base 12) to base 6
12211311
What is 2014132 (base 6) in base 15?
1d488
Convert -320a161 (base 12) to base 8.
-44106131
121887 (base 11) to base 6
4044131
What is -11241315 (base 6) in base 7?
-2645411
-d446 (base 16) to base 4
-31101012
Convert -12144150 (base 7) to base 4.
-10021103310
What is -1100101010001100011000 (base 2) in base 12?
-1140560
What is 1480c0c (base 13) in base 16?
63d4ad
Convert -4657151 (base 12) to base 7.
-223124566
What is 1a1268 (base 14) in base 16?
e1e1c
What is -406930 (base 12) in base 10?
-1007028
Convert -73778 (base 9) to base 2.
-1011111001110000
Convert 762027 (base 9) to base 10.
454192
Convert -15241 (base 12) to base 13.
-106a8
What is 93479 (base 10) in base 3?
11202020012
What is -110011100110111101 (base 2) in base 16?
-339bd
Convert -1510200 (base 6) to base 5.
-10240104
Convert -23cb00 (base 13) to base 16.
-d11ac
Convert 203311241 (base 5) to base 2.
11001100101010110001
Convert 1248335 (base 10) to base 8.
4606117
Convert 268492 (base 12) to base 3.
1012100020102
Convert 6aa950 (base 11) to base 15.
173e9a
Convert 203438 (base 11) to base 9.
547031
Convert 19c411 (base 13) to base 8.
2400044
-2077344 (base 9) to base 13
-3001b4
102253 (base 11) to base 7
1252113
1180083 (base 9) to base 8
2347755
What is 2454137 (base 8) in base 9?
1243014
Convert 35621 (base 15) to base 8.
514223
Convert -28b8 (base 14) to base 4.
-1300302
10100010110111101 (base 2) to base 12
40311
-16e64 (base 16) to base 12
-46344
1e943 (base 15) to base 14
28603
100001100110010011000101 (base 2) to base 12
2b49005
2f2dc3 (base 16) to base 13
843440
Convert 25d67 (base 16) to base 11.
a6494
What is -1130322332 (base 5) in base 11?
-1509250
6bc6a5 (base 13) to base 15
35b4b2
-402751 (base 14) to base 11
-1244565
-2ba23 (base 12) to base 6
-1154443
425045 (base 9) to base 2
111101110001001100
Convert 16724 (base 14) to base 7.
323044
Convert 25523 (base 10) to base 9.
38008
What is -45a7 (base 13) in base 7?
-40325
Convert 3323220312 (base 4) to base 3.
1221100212110
Convert 3401210 (base 5) to base 16.
e8a3
Convert 21222100101 (base 3) to base 11.
a7a47
What is -2320043 (base 8) in base 9?
-1161280
-1da10 (base 14) to base 11
-52168
Convert -1111010001 (base 4) to base 2.
-1010101000100000001
Convert 10445442 (base 6) to base 10.
317474
-100011000101111001110 (base 2) to base 12
-475552
What is 1010101312001 (base 4) in base 8?
104216601
What is 197023 (base 13) in base 10?
643750
What is 1525075 (base 8) in base 4?
1222220331
2241662 (base 7) to base 11
180846
Convert -2923262 (base 11) to base 14.
-94b99c
What is -1182a7 (base 12) in base 9?
-472271
-6f6a (base 16) to base 6
-340014
W
|
{
"pile_set_name": "DM Mathematics"
}
|
, 0, 17, -1 in descending order.
17, 0, -1, m
Let h(s) = -s**2 - 9*s - 14. Let a be h(-3). Sort a, 3, 12 in decreasing order.
12, a, 3
Let j = -0.204 - -0.804. Sort j, -0.3, -11 in increasing order.
-11, -0.3, j
Let v = 304 + -303.95. Sort -0.5, v, 5 in decreasing order.
5, v, -0.5
Let y = -0.085 - -16.085. Let f = y + -15.94. Sort -0.3, 0, f in increasing order.
-0.3, 0, f
Suppose 12*n - 26*n + 28 = 0. Sort -5, -12, n in descending order.
n, -5, -12
Let b = -31 - -2. Let r = -28.86 - b. Put 4, r, 5, 0 in increasing order.
0, r, 4, 5
Suppose 118*j = 76*j - 42. Sort -2, 0.4, -4, j.
-4, -2, j, 0.4
Suppose 0 = -4*u + 9*u + 175. Let o = 33 + u. Put o, 3, 0, 5 in descending order.
5, 3, 0, o
Let w = 123 + -132. Put 0, w, 2 in decreasing order.
2, 0, w
Let x = -37 + 35. Let f be 0/1 - (-1 + 2). Let o = 1 + f. Sort x, -3, o.
-3, x, o
Let s(o) = -9*o - 31. Let a be s(-1). Put -2, a, -4 in decreasing order.
-2, -4, a
Let x = 1.3 - -7.7. Suppose -t - 4 = 3*t. Let h be -2 + (-1)/(t - -2). Sort x, 5, h.
h, 5, x
Let s(b) = b**3 + b**2 - 3*b - 2. Let u(v) = -v + 5. Let o be u(7). Let d be s(o). Sort -4, d, 7 in decreasing order.
7, d, -4
Let l = -1.36 + 1.66. Sort -6.2, l, -2.
-6.2, -2, l
Let x(b) = -b**2 + 9*b + 5. Let z(j) = j - 1. Let t(o) = x(o) + 2*z(o). Let v be t(11). Sort 5, v, 1.
1, v, 5
Let f be (-1)/(-2) + (-3)/(-6). Let y(z) = z**3 + 13*z**2 - 15*z - 16. Let n be y(-14). Suppose 2*r - 3 = 5*r. Sort n, r, f in decreasing order.
f, r, n
Let r be (-1 - 3/(-3)) + 3. Let v = -6/89 + -112/979. Put v, -1/7, r in ascending order.
v, -1/7, r
Let k = 33 + -13. Suppose 12*q - 7*q - k = 0. Let c be (-8)/15*3/(-4). Put c, q, -1 in decreasing order.
q, c, -1
Let b = 1538 + -1536. Put -85, -3, b in descending order.
b, -3, -85
Let g = -352 + 477. Put g, 5, 0 in ascending order.
0, 5, g
Let a = -548 + 548.1. Let w = -4 - -4.2. Let c = w - -0.2. Sort c, a, -0.4 in ascending order.
-0.4, a, c
Let k(a) = a**2 + 9*a + 18. Let p = 39 - 46. Let s be k(p). Suppose 3*u - 2*h + 0 = -13, 3*u = -5*h - 20. Sort s, 5, u in descending order.
5, s, u
Let l = -399 - -398.95. Put l, 0.5, 2/7 in increasing order.
l, 2/7, 0.5
Let u = 1289 - 1280. Sort -2, -30, u in ascending order.
-30, -2, u
Let d(n) = n**3 - 7*n**2 + 3*n - 14. Let l be d(7). Let u be (-1)/(21/6) + 2/l. Let i(h) = -2*h + 4. Let r be i(4). Put r, 1, u in ascending order.
r, u, 1
Let f be (-2)/8*(-24)/(-18)*-45. Suppose 15 = -6*o - f. Sort -1, 4, o, 1 in decreasing order.
4, 1, -1, o
Let o be 0/4 + (-2)/(-2). Suppose 0 = 2*y - 7 + o. Suppose 12 = -8063*z + 8057*z. Put y, 5, z in decreasing order.
5, y, z
Suppose -20 = 19*i - 14*i. Let x be 54/55 + i/22. Sort 0.09, -4, x in descending order.
x, 0.09, -4
Let o = -49 - -49. Let f = -3.17 + 0.17. Sort o, f, 0.6, -4.
-4, f, o, 0.6
Let i be 684/135 - 4/60. Sort i, 162, 2, 3 in decreasing order.
162, i, 3, 2
Suppose -163*p = -169*p - 24. Put -3, p, 0, -1 in ascending order.
p, -3, -1, 0
Let v be -1 + -3 + (-102)/(-24). Let l = -5 + 5.08. Sort 0.3, v, l in decreasing order.
0.3, v, l
Let p be 26*(24/4)/(-1 - -4). Let c be 16/p*7 + -1 + -1. Put 0.4, 0.3, c, 0 in descending order.
0.4, 0.3, c, 0
Let n = 0 - -1. Let y be (-351)/(-26) + -6 + -6. Sort y, n, -3/7, -0.4 in descending order.
y, n, -0.4, -3/7
Let r(p) be the third derivative of p**5/20 + 5*p**4/8 + 5*p**3/6 - 18*p**2. Let z be r(-5). Sort 15, 1, z in increasing order.
1, z, 15
Let l = 91 + -89. Suppose -5 = f + 5*s, 2*s = 2*f - f - 9. Sort -0.3, -3, f, l in increasing order.
-3, -0.3, l, f
Let k = -122.42 - -122.5. Sort 2/7, k, -2, 2 in increasing order.
-2, k, 2/7, 2
Let o(y) = 2*y - 3. Let j be o(2). Let l be (2/(-4))/(j/(-4)). Let d be -4*3/(-24)*12/(-2). Sort d, 1, l in ascending order.
d, 1, l
Let i(n) = -n**3 - 49*n**2. Let y be i(-49). Put 1, 3, -8, y in decreasing order.
3, 1, y, -8
Suppose -q + 4*h - 9 = 0, q + h - 6 = 2*h. Let a = 13 - q. Suppose -o = -6*o + 25, 0 = a*f + 5*o - 27. Put -8, f, 0 in descending order.
f, 0, -8
Let d = -5.8 - -0.8. Let k = -2.2226 + -0.7774. Sort d, 0.3, k in decreasing order.
0.3, k, d
Let s(a) = -a**2 + 1. Let b be s(1). Let z = -4076 + 4075. Put z, b, 5, 3 in decreasing order.
5, 3, b, z
Let y = 11.25 - 11.45. Let g = 0.22 - -0.08. Sort y, g, -1/8 in decreasing order.
g, -1/8, y
Let d be 26/20*5/(-2) + 3. Put -1, 0, 14, d in decreasing order.
14, 0, d, -1
Suppose -5*g - 8 = 172. Let k be (-1 + 9)*g/(-48). Suppose 3*l + 3 = -k. Put 1, l, -4 in decreasing order.
1, l, -4
Suppose 48*a - 4*a - 308 = 0. Sort 1, -3, a, -1 in descending order.
a, 1, -1, -3
Suppose 4*g - 11 = 5. Suppose -4*u + 5*y - 3 - g = 0, -2*u - 4*y - 10 = 0. Let f = -11 + 19. Sort 5, u, f in ascending order.
u, 5, f
Let n = 8 + -5. Let q = 518 + -518. Let c = -0.29 + -0.01. Put n, c, q in ascending order.
c, q, n
Suppose -3*l + 6*l = -k + 48, 2*k = -l + 96. Suppose -s + 51 = k. Put 2, -4, s in ascending order.
-4, 2, s
Suppose 3*k + 5 = r - 0*k, 3*r = 2*k - 6. Let l be (-90)/126 - r/(-14). Put l, 5/6, 1/7 in increasing order.
l, 1/7, 5/6
Let k = -0.7 - -0.6. Let c be 3/(-6) - (-6)/(-12). Let o be c/5 - 3/(-90). Sort -3, o, k in decreasing order.
k, o, -3
Let y = 5.1 - 5. Let p = -0.036 - -0.019. Let f = p - 4.983. Sort -6, f, y.
-6, f, y
Let l = -70 + 71. Put l, 5, 0.5, 2/13 in decreasing order.
5, l, 0.5, 2/13
Let q = -222 + 226. Sort -1, 2, q in decreasing order.
q, 2, -1
Let l = -1.15 + -56.85. Let u = 62 + l. Put 2, -0.1, u in descending order.
u, 2, -0.1
Suppose 0 = -2*n + n. Suppose 70 = 10*c + 80. Sort n, -3, c in descending order.
n, c, -3
Let r(p) = -p**3 + 10*p**2 - p + 12. Let u(l) = l**3 - 10*l**2 + 10*l + 1. Let b be u(9). Let i be r(b). Let v = -5 - -4.7. Put v, -3, i in descending order.
i, v, -3
Let x = -0.89 - -0.899. Let n = 0.039 - x. Sort 2, n, 1/2 in decreasing order.
2, 1/2, n
Let l = 46 - 41. Let c = 0.6 + -0.3. Sort 0.7, c, l, 1 in descending order.
l, 1, 0.7, c
Suppose -4*b - 3*l = 11, -3*b + 4*l - 10 = -33. Let z = -70.5 + 63. Let m = z + 7. Sort m, b, -2.
-2, m, b
Suppose 261*c = 248*c + 65. Sort -18, -1, 4, c in decreasing order.
c, 4, -1, -18
Let u = -6 + 10. Let z = -53/305 - -35/61. Sort z, -4, u, 5 in decreasing order.
5, u, z, -4
Let g = -185 - -180. Sort g, 0, -206 in ascending order.
-206, g, 0
Let z be 2*((-36)/(-45))/(-4). Put -0.2, z, 0.49, 4 in ascending order.
z, -0.2, 0.49, 4
Suppose -3*h + 13*h - 320 = 0. Suppose h*w + 1 = 33*w. Sort -5, w, 12.
-5, w, 12
Let v(o) = -o**3 + 3*o**2 + 2*o + 11. Let q be v(4). Let p be 23/(-5) + (-2)/5. Let f be (-8)/12 - 1/3. Put f, p, q in ascending order.
p, f, q
Let f(c) = 2*c**2 - 13*c - 52. Let r be f(-3). Put r, 4, -3, 1/3 in decreasing order.
r, 4, 1/3, -3
Let c = 48 - 26. Suppose 0 = s + p - 3, 0 = s - 5*p + 5 + c. Sort 0, 0.5, 0.4, s in ascending order.
s, 0, 0.4, 0.5
Let x(u) = u + 34. Let s be x(-23). Suppose g + g - 16 = 0. Suppose -2*y - g = 4*f + 3*y, 4 = -2*f + y. Put 1, s, f in descending order.
s, 1, f
Let w be -4*(19/(-4) - 1). Let f = -25 + w. Put f, -20, 0 in decreasing order.
0, f, -20
Let q = 23 - 23. Let a be (0 - q)/(3 - 4). Suppose b + 4 = -2*h, a*b - b - 5*h - 4 = 0. Sort 3, b, -7 in ascending order.
-7, b, 3
Let r be 3*((-224)/(-12))/(-2). Let n = 15 + r. Put -1, n, 4, -4 in ascending order.
n, -4, -1, 4
Let h(b) = -24*b**3 + b**2 - 4*b - 5. Let l be h(-1). Sort 2/9, -1/3, l.
-1/3, 2/9, l
Suppose -j = -z - 3, 5*j - 5*z + 1 = 8*j. Sort 6, -5, j.
-5, j, 6
Suppose -3*p - 2*o + 3 - 4 = 0, -3*o = 5*p. Let v be (5 - p) + -2 + (3 - 0). Sort -2, v, 19, -4.
-4, -2, v, 19
Let n(t) = -t + 187. Let r be n(18). Sort 3, 4, r in ascending order.
3, 4, r
Let r be (-92)/24 - 2/36*3. Sort 14, 0, 3, r in decreasing order.
14, 3, 0, r
Let r(u) = u**2 + 10*u + 14. Let q be r(-7). Put -1, 2, 4, q in ascending order.
q, -1, 2, 4
Let j = -89 + 90. Put j, 0.2, -5 in decreasing order.
j, 0.2, -5
Let s = -10 + 31. Let v = s + -26. Put v, -13, 0.2 in descending order.
0.2, v, -13
Let m(q) be the first derivative of 7*q**2/2 - 5*q + 12. Let v be m(1). Sort 3, -1, v, -4 in ascending order.
-4, -1, v, 3
Let l = -118 - -122. Put -5, 0, l, 2 in descending order.
l, 2, 0, -5
Suppose -b + 2*u = 3*u, 2*b - 5*u = 14. Let t be ((-30)/(-12))/(b/(-4)). Suppose 10 = -5*j - 4*q, 4*q = 2*j - 24 - 0. Put t, j, 3 in ascending order.
t, j, 3
Suppose
|
{
"pile_set_name": "DM Mathematics"
}
|
t v(p) be the first derivative of n(p). Let i(f) = -f. Calculate i(v(h)).
-3*h**2
Let h(c) = 7*c. Let x(v) = 1. Let l(j) = -2*j + 2. Let o be 9*(-2)/(-6) - 4. Let k(y) = o*l(y) + 2*x(y). Determine h(k(d)).
14*d
Suppose -k + 1 + 0 = 0. Let u(b) = 2*b**2 - 4*b**2 - 1 + k. Let g(w) = -5*w**2. What is g(u(t))?
-20*t**4
Let x(z) = z**2. Let q(l) = 16*l. Let h(a) = -17*a. Let u(t) = -3*h(t) - 2*q(t). Give u(x(k)).
19*k**2
Suppose 0 = -t - 3*t. Let g(m) = t*m + m + m. Let q(w) = 11*w + 9. Let k(j) = 5*j + 4. Let o(n) = -9*k(n) + 4*q(n). Determine o(g(i)).
-2*i
Let j(d) be the third derivative of d**5/20 + 7*d**2. Let l(t) = 5*t. Calculate l(j(a)).
15*a**2
Let q(b) = -b. Let m(t) = 5*t + 2*t - 6*t - 9*t. Determine m(q(h)).
8*h
Let s(g) = g. Let a(k) be the second derivative of 35*k**3/6 - 27*k. Calculate s(a(l)).
35*l
Let o(j) = 4*j. Let r(u) be the third derivative of -u**5/20 - 11*u**2. What is r(o(s))?
-48*s**2
Let z(b) = -4*b**2. Let o(g) = 2*g - 6. What is z(o(h))?
-16*h**2 + 96*h - 144
Let f(d) = 7*d. Let c(b) = -b. Let l(a) = -10*a**2 + 25*a. Let h(q) = -25*c(q) - l(q). What is h(f(s))?
490*s**2
Let h(y) = 2*y. Let p(b) = b**2 - 53*b + 6. Calculate h(p(k)).
2*k**2 - 106*k + 12
Let j(p) = -p**2 + 5*p - 2. Let k be j(4). Let o(u) = 0*u**2 - 2*u**k + 8*u - 8*u. Let f(q) be the second derivative of q**4/12 - q. Give f(o(g)).
4*g**4
Let c(f) = f**2. Let r(v) = 5*v - 33*v - 21*v + 10*v. Calculate c(r(x)).
1521*x**2
Let j = -1 - -3. Let s(f) = 8*f + j*f**2 - 8*f. Let g(o) = 2 + 8 + 2*o - 10. What is s(g(k))?
8*k**2
Let d(m) = 1. Suppose -2*w - 1 = -3. Let t(g) = -g - 3. Let v(a) = w*t(a) + 3*d(a). Let p(q) be the third derivative of q**4/24 + q**2. Determine p(v(r)).
-r
Let s(w) = -7*w + 7. Let z(x) = -2*x**2. Calculate s(z(o)).
14*o**2 + 7
Let v(n) be the third derivative of n**4/8 - 4*n**2. Let c(i) = -5*i. Determine c(v(m)).
-15*m
Let z(s) be the second derivative of s**4/6 + s. Let b(r) = -11*r**2 - 8*r. Let f = 2 + 3. Let p(u) = -7*u**2 - 5*u. Let i(n) = f*b(n) - 8*p(n). Give z(i(o)).
2*o**4
Let g(a) = 0*a - 6*a + 4*a. Let i(q) = q**2 - 346 + 346. Give g(i(y)).
-2*y**2
Let r(f) = 409*f**2 + 2. Let l(t) = -t**2. What is l(r(w))?
-167281*w**4 - 1636*w**2 - 4
Let b(h) = 9*h - 3. Let w(n) = -2*n**2. What is b(w(f))?
-18*f**2 - 3
Let u(x) = -x**2. Let p(c) be the second derivative of -c**3/6 + c. Determine p(u(i)).
i**2
Let x(n) = -6*n. Let w(t) = 22*t. Give x(w(g)).
-132*g
Let x(m) = -11*m**2 - m. Let c(a) = a. Let o(y) = c(y) + x(y). Let f(h) = -h**2. Calculate f(o(q)).
-121*q**4
Let u(m) = 8*m. Let z(s) = s. Let i(j) = 2*u(j) - 6*z(j). Let r(o) = o. Determine r(i(g)).
10*g
Let c = 4 - -3. Let p = c - 5. Let s(n) = 0*n + p*n - 3*n. Let u(x) = 3*x**2. Give u(s(q)).
3*q**2
Suppose w + 2*u - 2 + 1 = 0, 2*w + u = 2. Let r(f) = 8*f**2 - 4*f. Let x(n) = -n**2 + n. Let t(z) = w*r(z) + 4*x(z). Let a(v) = -v**2. Determine a(t(k)).
-16*k**4
Let b(l) = -2*l. Let i = -29/2 - -16. Let s(r) be the first derivative of 1 + i*r**2 + 0*r. Determine b(s(n)).
-6*n
Let d(o) = 3*o**2. Suppose -3*t = -5*v - 9 - 11, -t + 2*v + 8 = 0. Let l be (-1)/(-4) + 21/28. Let h(c) = -c + t - 1 + l. Give h(d(s)).
-3*s**2
Let f(m) = -m**2 - 3*m + 3. Let l(g) = -g**2 - 2*g + 2. Let p(h) = 4*f(h) - 6*l(h). Let t be 1 - -1 - (0 + 0). Let r(q) = q**t - q + q. Give p(r(d)).
2*d**4
Let k(d) = -7*d**2. Let o(c) be the first derivative of 1/3*c**3 - 1 + 0*c + 0*c**2. Give o(k(f)).
49*f**4
Let a(t) = 4*t. Let h(c) = 3*c. Suppose 6*l - l + z = 85, -5*z = -2*l + 61. Let n(j) = -13*j. Let k(q) = l*h(q) + 4*n(q). Give a(k(r)).
8*r
Let s(h) = 252*h. Let x(l) = -2*l. What is x(s(t))?
-504*t
Let w(j) = 7*j. Let f(v) be the second derivative of -v**3/6 - 12*v. What is w(f(r))?
-7*r
Let y(x) = -17*x + 3880 - 3880. Let j(p) = 3*p. Determine y(j(k)).
-51*k
Let a(d) = -4*d**2 - 2. Let x(m) = 3*m**2 + 3. Let q(p) = 3*a(p) + 2*x(p). Let f(n) = -n**2 + 2*n. Let v(c) = -c. Let s(w) = -f(w) - 2*v(w). Give q(s(b)).
-6*b**4
Let v(a) = 17*a**2 + 9*a + 9. Suppose 2 = -3*k + 14. Let q(h) = -1 - k*h**2 - 2*h + 3 - 4. Let p(z) = -9*q(z) - 2*v(z). Let f(n) = 2*n. Determine f(p(j)).
4*j**2
Let x(f) = -2*f. Let j = -583/60 - -49/5. Let v(s) be the second derivative of 0 + 0*s**2 - j*s**4 + 0*s**3 + s. What is x(v(z))?
2*z**2
Let q(l) = -9148*l**2. Let p(u) = -2*u. What is q(p(y))?
-36592*y**2
Let o(m) = -2*m**2. Let d(f) = -88*f**2. What is d(o(v))?
-352*v**4
Let c(y) = 195*y. Let b(k) = -2*k. Determine c(b(o)).
-390*o
Let z(w) = 118*w - 1. Let g(l) = -l**2. Give z(g(t)).
-118*t**2 - 1
Let a(m) = -m. Let c(f) = -26*f**2 - 29*f. Give a(c(n)).
26*n**2 + 29*n
Let m(s) = s. Let j(u) = -1333*u**2. Give j(m(p)).
-1333*p**2
Let g(u) = 4*u + 2*u - 3*u. Let v(h) be the second derivative of h**3/6 + 69*h. Give v(g(l)).
3*l
Let p(b) = -4*b - 7. Let n(g) = -3*g - 5. Let l(f) = 7*n(f) - 5*p(f). Let m(j) = -6*j. Calculate m(l(y)).
6*y
Let w(r) = 10*r. Let x(f) = 17*f + 11*f - 25*f. What is x(w(y))?
30*y
Let b(h) = -2*h - 1022. Let m(c) = 2*c**2. Determine b(m(n)).
-4*n**2 - 1022
Suppose 5*c + 25 = 5*w, 5*w + 4*c + 2 = 3*w. Let x(n) be the third derivative of 0*n**w - 1/24*n**4 + 0*n + 0 + n**2. Let k(s) = s. Give k(x(f)).
-f
Let m(u) = 9*u**2 + 12270 - 12270. Let s(r) = 9*r**2. Calculate s(m(k)).
729*k**4
Suppose -2*a = 5*q - 4, a + q - 7 = -4*q. Let u = a + 5. Let r(o) = -6*o - 2*o**u + 6*o. Let h(m) = 2*m**2. Calculate h(r(b)).
8*b**4
Let j(q) = -24*q - 32*q + 43*q. Let l(h) = -2*h**2. Determine l(j(p)).
-338*p**2
Let d(s) = -4*s**2. Let m be 1/(-3*1/(-36)). Let h(y) = y**2 - m + 12. Calculate h(d(j)).
16*j**4
Let u(x) = 18908*x. Let v(p) = 3*p**2. What is u(v(h))?
56724*h**2
Let l(q) = -q. Let g(u) = u**2 + 11*u. Let f(n) = 2*g(n) + 22*l(n). Let a(w) = 10*w**2. Determine a(f(y)).
40*y**4
Let p(i) = -i**2. Let l(o) = -188*o + 3*o**2 + 188*o. What is p(l(m))?
-9*m**4
Let f(a) = 529*a**2. Let l(s) = -10*s. Calculate f(l(x)).
52900*x**2
Let z(w) be the second derivative of -w**3/6 - w**2 - 2*w. Let a(s) = 3*s + 5. Let t(n) = 2*a(n) + 5*z(n). Let r(l) = l**2. What is r(t(i))?
i**2
Let s(n) = -4*n**2 + 7. Let p(y) = -y**2 + 2. Let x(h) = -7*p(h) + 2*s(h). Let w(i) = 14*i**2. Give w(x(t)).
14*t**4
Let j(c) = 3*c. Let t(a) = -1630 + 29*a**2 + 1630. Give t(j(v)).
261*v**2
Let h(r) = 2*r. Let g(m) = 231*m**2 + 2. Determine g(h(u)).
924*u**2 + 2
Let p(a) = -19*a**2 - 15*a**2 + 36*a**2. Let y(i) = 10*i - 1. Calculate p(y(l)).
200*l**2 - 40*l + 2
Let h(w) = w. Let k(q) = 3*q - 35. What is k(h(u))?
3*u - 35
Let t(w) = -w**2. Let k(h) = -368*h**2. Determine t(k(a)).
-135424*a**4
Let y(c) = 13*c. Let z(a) be the first derivative of 5*a**3/3 - 12. Calculate z(y(w)).
845*w**2
Let v(q) = -3*q**2 - 79. Let i(r) = 21*r**2. Give i(v(c)).
189*c**4 + 9954*c**2 + 131061
Let a(w) = -2*w. Let z(x) = 6*x**2 - 2*x - 2. Let g be 1 + 0 + 2 + 0. Let h(u) = -4*u - 1 + 0*u + g*u + u**2. Let i(y) = -2*h(y) + z(y). Determine i(a(f)).
16*f**2
Let l(s) be the first derivative of s**2 + 3. Let j(r) be the first derivative of -4*r**3/3 - 2. Give l(j(v)).
-8*v**2
Let f(c) = c**2 + c. Let s(i) = 4*i**2 + 3*i. Let j(b) = -3*f(b) + s(b). Let q(t) = 40*t**2. Give q(j(r)).
40*r**4
Let t(y) = 19*y**2. Let u(j) = 479*j. Determine u(t(l)).
9101*l**2
Let k(c) be the first derivative of -c**4/4 - c**2/2 - 2. Let s(b) be the second derivative of k(b). Let o(f) = -f**2 + 22 - 22. Calculate s(o(h)).
6*h**2
Let u(a) = -a. Suppose -5*y + 13 = -3*n, -n + 22 + 7 = 5*y. Let p(x) = 4 - y - 2*x + 1. Determine p(u(m)).
2*m
Let o(i) be the third derivative of 1/20*i**5 + 2*i**2 + 0*i + 0*i**4 + 0*i**3 + 0. Let w(t) be the second derivative of t**4/12 - 14*t. What is w(o(l))?
9*l**4
Let v(d) = 14658*d. Let m(r) = 2*r**2. Calculate m(v(a)).
429713928*a**2
Let a(k) be the third derivative of k**5/30 - 9*k**2. Let v(s) = 6*s**2. Give v(a(b)).
24*b**4
Let b(d) = -2*d. Suppose 5*q = 0, 5*c + 2*q + 2*q = -20. Let r = c - -6. Let i(g) = r*g - g + g. Determine b(i(f)).
-4*f
Let z(y) = -5*y. Let m(j) = j. Determine m(z(k)).
-5*k
Let i(y) = 2*y**2. Let b(z) be the third derivative of 3*z**2 + 1/30*z**5 + 0*z + 0*z**4 + 0 + 0*z**3. What is b(i(c))?
8*c**4
Let o(p) be the third derivative of p**4/12 - p**2. Let x(d) be the second derivative of 0*d**2 + 0 - 8*d + 1/3*d**4 + 0*d**3. Give x(o(v)).
16*v**
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 22.6207. Let i = -0.012 - -20.012. Let m = p - i. Round m to 2 dps.
0.1
Let q = -2194.759222 + 2192.782. Let f = -1.979 - q. What is f rounded to 4 decimal places?
-0.0018
Let i = -46.8 - -46.8204. Let x = i + -0.020401244. What is x rounded to 7 decimal places?
-0.0000012
Let d = 0.0263 + 51.3737. Let c = d + -51.39026. What is c rounded to 4 decimal places?
0.0097
Suppose 3*y + v = -25259717, -3*v - 1328072 + 43427619 = -5*y. Let m be (y - 94) + (1 - 0). Round m to the nearest one million.
-8000000
Let m(n) = -3*n + 21. Suppose -2*w + 30 - 16 = 0. Let q be m(w). Suppose 4*r + 80493 - 53280493 = q. Round r to the nearest 1000000.
13000000
Let h = 196.889 - 183.37. Round h to one dp.
13.5
Let p(l) = -8*l**2 - 65 - 65 + 271*l**3 + 116 - 13*l. Let z be p(-6). Round z to the nearest 10000.
-60000
Let j = 42398.756 - 42148. Let c = j - 250. What is c rounded to one dp?
0.8
Let t = 1129379942 + -1129379838.9999866. Let m = -188 - -85. Let a = t + m. What is a rounded to 6 dps?
0.000013
Let v(q) = q**3 - 9*q**2 + 20*q + 97. Let i be v(-11). What is i rounded to the nearest 1000?
-3000
Let q = -10.7389 + 0.1089. Let h = -5.6 - q. Let w = 4.9019 - h. What is w rounded to two decimal places?
-0.13
Let t = -104 + 128. Let c = t + -24.0554. Round c to 2 dps.
-0.06
Let k = 1.06 + -64.16. Let u = -66.022 + 0.022. Let b = k - u. Round b to the nearest integer.
3
Let r = -0.814 + 0.79. Let q = r + -2.076. Let s = 2.4 + q. Round s to 1 decimal place.
0.3
Let k = -38.8 - 6.2. Let a = 25.228401 - -19.771507. Let x = k + a. What is x rounded to five decimal places?
-0.00009
Let n be 960*(1875/(-100))/(9/(-1725)). Round n to the nearest one million.
3000000
Let n = -1748.1447 - -1748. Let r = 68.2447 + n. Round r to the nearest 10.
70
Let k = -502253772 + 502251427.98997. Let l = k - -2344. What is l rounded to 3 decimal places?
-0.01
Suppose 60 = 22*r - 6. Suppose 6*c + 4*m = r*c - 84260, 2*m - 28070 = c. What is c rounded to the nearest one thousand?
-28000
Let t = -5853394 + 3498694. Round t to the nearest ten thousand.
-2350000
Let r = -59.3977 - -29.397845. Let k = -30 - r. Round k to 4 dps.
-0.0001
Let z = 25.515 - 26.4. Let t = z + -6.705. Let c = 7.5900331 + t. Round c to 6 decimal places.
0.000033
Let q = 1735.8 + -943.6. Round q to the nearest ten.
790
Let s = -320 + 551. Let w = -150 - s. Let b = w + 381.000738. What is b rounded to 4 dps?
0.0007
Let h = -109.61592 + 0.22592. Let f = 720.97 + h. Let q = f - 605. Round q to 1 decimal place.
6.6
Let u = 64561791.063999258 + -64561791. Let r = 0.064 - u. What is r rounded to seven dps?
0.0000007
Let v = 5382 + -5382.3097. Let j = -0.308051 - v. Round j to four decimal places.
0.0016
Let a(u) = -2*u + 24490 + 11165 + 30345. Let z(x) = -x**3 - 11*x**2 + 2*x + 120. Let f be z(-10). Let j be a(f). Round j to the nearest 10000.
70000
Let b = -2499.6461 - 25.6239. What is b rounded to the nearest one hundred?
-2500
Let v(m) = -16 - 19*m + 5 - 13 - m**2. Suppose -171*r + 166*r - 75 = 0. Let j be v(r). What is j rounded to 0 dps?
36
Let w = -1070448723 - -1070448716.699999528. Let p = w - -6.3. What is p rounded to seven decimal places?
-0.0000005
Let j = -1888.0000010955 - -1888. Round j to seven decimal places.
-0.0000011
Let c = 562.1285 + -562. Round c to one dp.
0.1
Suppose h - n = 345177, 0 = 6*n - 11*n + 15. What is h rounded to the nearest one thousand?
345000
Let y = 0.2612 + -1.6412. What is y rounded to 1 dp?
-1.4
Let y = -14 - -29. Suppose y = -3*f, -5*f = -4*p - 924 - 5651. Let t be 7/(126/(-240))*p/(-4). What is t rounded to the nearest one thousand?
-6000
Let d = -28.18 - -27.96588. Round d to 2 decimal places.
-0.21
Let m = -0.314 - 299.686. Let h = m - -300.204. Round h to 1 decimal place.
0.2
Suppose -65*p + 175617072 + 295892928 = 0. Round p to the nearest 100000.
7300000
Suppose -m + 2851054 = -5*g + 8*g, -5*g - 5702141 = -2*m. Let t = -9401063 + m. What is t rounded to the nearest 1000000?
-7000000
Let f = -128 - -861. Let m = f + -733.3636. Let k = 0.34 + m. What is k rounded to 3 dps?
-0.024
Let r = 2956530948.2188441574 - 0.2188441574. Let b = r + -2956530589.9999813. Let j = 358 - b. Round j to 6 dps.
-0.000019
Let q = -0.0827 - -223.0827. Let t = q - 224.345. Round t to 1 dp.
-1.3
Let p = -9.9 + 11. Let u = 0.1 + p. Let k = -1.200004 + u. Round k to 6 dps.
-0.000004
Let o(k) = -k**2 - k - 1. Let j(q) = 6*q**2 + 15 + 4*q**2 - 1 + 4*q + 4. Let d(l) = -j(l) - 3*o(l). Let r be d(-4). What is r rounded to the nearest ten?
-120
Let z = 10 - -7.2. Let t = 17.1864 - z. Round t to three decimal places.
-0.014
Let q = 31088 + -31087.99967808. What is q rounded to 5 decimal places?
0.00032
Let u = 459 - 154. Let f = 304.9999898 - u. Round f to six dps.
-0.00001
Let q = -240.0544 - -0.0544. Let l = -240.035 - q. Round l to 2 decimal places.
-0.04
Let i = -2908.7 + -247.3. Let d = 3126.58 + i. Round d to the nearest integer.
-29
Let k = 38 + -42.7. Let h = 2327638579.699999812 - 2327638575. Let t = k + h. What is t rounded to seven dps?
-0.0000002
Let n = 0.7371132 + -0.737. Round n to 5 dps.
0.00011
Let o = 464.656 - 0.656. Let p = o - 463.999999424. Round p to 7 decimal places.
0.0000006
Let z = 0.63315177 - -0.08679753. Let x = 151.8 - 151.08. Let c = z - x. What is c rounded to six decimal places?
-0.000051
Let t = -1204548.947 - -1205126. Let c = t + -578. Round c to one decimal place.
-0.9
Let m = 5007 - 5007.0000007873. Round m to 7 decimal places.
-0.0000008
Let q = -1241196966 + 1241196971.000000295. Let m = 5 - q. What is m rounded to seven dps?
-0.0000003
Let k = 9995.13 + -9834. Round k to the nearest integer.
161
Let y = -14592.999987524 - -14593. Round y to six dps.
0.000012
Let l = -100.78 + 68.67. Let f = 5133 - 5096.8. Let u = f + l. What is u rounded to 0 dps?
4
Let p = -199.4196 - 0.0804. Let n = p - -236. What is n rounded to the nearest 10?
40
Let m = 834529.00670289 + -834529. Let n = 0.0067 - m. Round n to seven dps.
-0.0000029
Let v = -14391.42855 + 14391. Round v to 2 decimal places.
-0.43
Let o = 113074.19 - 112486. Let i = 908 + -1500. Let k = o + i. Round k to 1 decimal place.
-3.8
Let d = 25 - 18. Let u = 4633535.000054 - 4633528. Let b = d - u. Round b to five dps.
-0.00005
Let g = 703.7 - 556. What is g rounded to the nearest 100?
100
Let g = -68 + 113. Let h = -45 + g. Let y be h + 596 + 20 + -16. What is y rounded to the nearest 1000?
1000
Let q = -43366 - -43367.7887. What is q rounded to two decimal places?
1.79
Suppose a = 4*z - 29, z - 5*a = 4*z - 16. Suppose 3*g - 43840000 = z*g + 4*i, -4*g = -3*i + 43840000. Round g to the nearest 1000000.
-11000000
Let i be (1 + 4/(-3))*(26 - 35). Let y be (4/i)/(20/(-30)) + -1793. Round y to the nearest 100.
-1800
Let d = -79 - -158. Let q = -75.6 + d. Let v = -3.399987 + q. What is v rounded to 5 dps?
0.00001
Suppose 8521 = -l - 3*u, 3*l + 3*u + 42605 = -2*l. Let j = -4979 + l. Round j to the nearest 1000.
-14000
Let b = 0.2417 - 63.2417. Let m = -785938090.9999991 + 785938154. Let x = m + b. Round x to seven decimal places.
0.0000009
Let o(f) = -287994*f**2 - 61*f + 343. Let c be o(-31). Round c to the nearest 1000000.
-277000000
Let r = 31.897 - 41.02. Let w = r - -0.023. Let h = 9.100009 + w. Round h to five dps.
0.00001
Let d(b) = 5814*b**3 - 8*b**2 + 8*b - 10. Let n = 61 - 152. Let a = n + 86. Let m be d(a). What is m rounded to the nearest 100000?
-700000
Let i = 12615.9976448 + -12616. What is i rounded to five decimal places?
-0.00236
Let d = -2.6 - 22.4. Let w = 25.12 + d. Let u = w - 0.208. Round u to 2 dps.
-0.09
Let g = -0.032469 + -2640.097531. Round g to the nearest ten.
-2640
Let c = 5 + -183. Let q = c + 177.9999838. Round q to six dps.
-0.000016
Let s = 236.57 - 3.57. Let u = s + -231.97. Let o = -1.0299997 + u. What is o rounded to 7 dps?
0.0000003
Let a = 28274.9893881 + -28275. Round a to four dps.
-0.0106
Let o be (4990/(-6))/(23/(-69)). Suppose -18*a + 23*a - 1996 = -4*d, -5*d + o = a. What is d rounded to the nearest one hundred?
500
Let n = -652342.0023 - -652398. Let l = n - 0.0977. Round l to 0 decimal places.
56
Let b = 12718.6974 + -12720. Let o = 0.08 - 1.41. Let p = b - o. Round p to 3 dps.
0.027
Let j = -8.3522218 + 13896.7056218. Let h = j - 14105.3533636. Let f = h - -217. What is f ro
|
{
"pile_set_name": "DM Mathematics"
}
|
**2. Let a(d) = -15909*d**2. Determine s(a(b)).
-1265481405*b**4
Let y(k) = 29*k. Let v(l) = l**2 - 4*l - 4. Let g(h) = -5*h**2 + 25*h + 25. Let p(b) = 4*g(b) + 25*v(b). What is p(y(a))?
4205*a**2
Let b(s) be the third derivative of -1285*s**4/24 + s**2 + 189. Let m(w) = -2*w**2. What is m(b(y))?
-3302450*y**2
Let u(z) = 9*z**2 - 2*z + 6. Let x(d) = -63*d**2 + 15*d - 45. Let m(y) = 15*u(y) + 2*x(y). Let j(p) = -8*p**2. What is j(m(t))?
-648*t**4
Let q(k) be the second derivative of -5*k**4/12 + k**3/6 + 294*k. Let l(w) = 5*w**2. Determine q(l(p)).
-125*p**4 + 5*p**2
Let p(s) = 5*s**2. Suppose j - m + 5*m = -46, -51 = j + 5*m. Let o = j + 33. Let i(a) = -o + 7 - 2*a + 3*a. Give p(i(v)).
5*v**2
Let m(w) = w**2. Let z(n) = -n + 5. Let v(k) = k + 22. Let d(i) = -v(i) - 4*z(i). What is d(m(t))?
3*t**2 - 42
Let q(c) = 2*c**2. Let s(h) = -133*h**2 + h + 9. Let b(g) = -33*g**2 + 2. Let r(x) = 9*b(x) - 2*s(x). Give q(r(u)).
1922*u**4 + 248*u**3 + 8*u**2
Let d(k) = 13*k - 10. Let a(x) = -40*x + 32. Let z(g) = 5*a(g) + 16*d(g). Let t(u) = 4*u**2 + 2*u. Calculate t(z(l)).
256*l**2 + 16*l
Let r(x) = 5*x**2 + 222. Let o(k) = -16*k**2 - 1. Calculate r(o(t)).
1280*t**4 + 160*t**2 + 227
Let k(y) = -y. Let x(b) = 35583*b. What is x(k(j))?
-35583*j
Let u(n) = -2*n. Let i(v) be the first derivative of -7*v**5/120 + 7*v**3/3 - 3. Let y(s) be the third derivative of i(s). What is y(u(j))?
14*j
Let q(d) = 3*d. Let o(z) = -74725*z. Calculate o(q(x)).
-224175*x
Let d(y) = 6*y - 3. Let s(a) = 11*a - 5. Let i(z) = -10*d(z) + 6*s(z). Suppose 2*w = l - 4*l + 10, 5*l - 6 = 2*w. Let j(u) = 1 - 1 + u**w. Give i(j(b)).
6*b**2
Suppose 5*i - 5*t - 4 = 26, -3*i - 5*t = 22. Let r(w) = -i - 126*w + 1 + 130*w. Let x(n) = 7*n. Calculate r(x(z)).
28*z
Let j(c) = 35*c - 2 + 2. Let g(l) be the first derivative of l**2 + 10100. Determine j(g(h)).
70*h
Let x(l) = -l**3 - 11*l**2 + 16*l + 3. Let g be x(-12). Let n = g - -88. Let o(k) = 0 + n*k**2 - 42*k**2 + 0. Let m(a) = -2*a. What is m(o(r))?
-2*r**2
Let s(f) = -3*f. Let d(o) = -43045*o. What is s(d(n))?
129135*n
Let r(d) = 5*d**2. Let v(t) be the first derivative of 7*t**4/24 - 25*t**2/2 + 9. Let q(a) be the second derivative of v(a). Calculate r(q(o)).
245*o**2
Let d(s) = 12*s. Suppose 2*v - 314 = -44. Let p(m) = -70*m**2 + v*m**2 - 69*m**2. Calculate p(d(i)).
-576*i**2
Let y(k) = 56698*k. Let b(n) = 2*n**2. Calculate b(y(a)).
6429326408*a**2
Let g(p) = -7*p - 2582. Let f(j) = -4*j**2. What is g(f(q))?
28*q**2 - 2582
Let p(s) = -2*s**2. Let f = -25 - -27. Let x(h) be the first derivative of -f - 3/2*h**2 + 0*h. Determine x(p(c)).
6*c**2
Let u(c) = -4*c + 5*c - 679 + 679. Let g(r) = -643*r**2. What is g(u(s))?
-643*s**2
Let l(z) be the first derivative of -z**2 + 38. Let h(w) = -16*w**2. Give l(h(d)).
32*d**2
Let j(p) = -4*p. Let c(s) = 4810*s. What is j(c(t))?
-19240*t
Let m(s) = -s**2. Let g(w) be the second derivative of 5*w**4/24 + 3*w**2/2 - w. Let p(k) be the first derivative of g(k). What is p(m(q))?
-5*q**2
Let l(s) = -27*s + 14. Let g(y) = 15*y - 8. Let r(m) = 7*g(m) + 4*l(m). Let q(c) = 72*c**2. Calculate r(q(p)).
-216*p**2
Let z(y) = -122761*y**2. Let k(m) = -3*m. Give z(k(w)).
-1104849*w**2
Let s(z) = z**2. Let c(j) = -2*j + 3557. What is c(s(m))?
-2*m**2 + 3557
Let m(h) = -788*h. Let x(a) = 14*a - 3. Let p(j) = 24*j - 5. Let i(b) = 3*p(b) - 5*x(b). What is m(i(l))?
-1576*l
Let a(p) = -p - 1. Let c(o) = o**2 + 3*o + 3. Let h(g) = 6*a(g) + 2*c(g). Let x(d) be the first derivative of -5/2*d**2 + 0*d - 3. Give x(h(z)).
-10*z**2
Let s(p) be the third derivative of 4*p**5/15 - p**4/24 + 62*p**2. Let h(d) = 3*d. Give h(s(b)).
48*b**2 - 3*b
Let s(o) = -2*o. Let x(r) = -24*r - 48*r**2 + 24*r - 1 + 1 - 2. Determine s(x(f)).
96*f**2 + 4
Let q(f) be the first derivative of -30 + 0*f + 0*f**2 + 29/3*f**3. Let k(o) = -o**2. Give k(q(b)).
-841*b**4
Let f(k) = -3*k**2 + 2. Let y(o) = 27942*o. Determine f(y(d)).
-2342266092*d**2 + 2
Let w(m) = -5*m**2. Let g(n) = -1054*n + 2. What is w(g(c))?
-5554580*c**2 + 21080*c - 20
Let c(a) = a. Let k(b) = 22 + 39 + 52 - 2*b**2 - 28. What is c(k(n))?
-2*n**2 + 85
Let n(m) be the first derivative of m**3/3 + 331. Let c(u) = 3*u + 196. Give c(n(s)).
3*s**2 + 196
Let b(d) = d + 30590. Let m(w) = -2*w. Determine b(m(a)).
-2*a + 30590
Let r(v) = -26*v**2. Let o(z) be the second derivative of -z**4/12 - 13*z. Calculate o(r(u)).
-676*u**4
Let h(w) = -3003*w**2. Let a(z) = 100*z. Determine a(h(o)).
-300300*o**2
Suppose -4*f - 15 = -5*l, -3*l - 3*f = 14 + 4. Let h(t) = -198*t. Let w(j) = -j. Let r(q) = l*h(q) + 264*w(q). Let n(s) = -s. Determine n(r(k)).
66*k
Let z be 3/(-6) + (-1)/2. Let n(o) = -2*o - o**2 - o + 2*o + 0*o. Let m(x) = 9*x**2 + 15*x. Let r(v) = z*m(v) - 15*n(v). Let p(j) = 2*j**2. What is p(r(f))?
72*f**4
Let j(y) = -6*y**2. Let h(z) be the third derivative of -5*z**4/12 + 4*z**2 - 14. Give j(h(b)).
-600*b**2
Let l(k) = 9*k**2 - 60*k. Let u(x) = 31*x - 1. What is u(l(z))?
279*z**2 - 1860*z - 1
Let z(n) = -n. Suppose 6 = -p - 2. Let l = p - -10. Let i(c) = 3*c**l - 3*c**2 - c**2 + 2*c**2. Calculate i(z(g)).
g**2
Let n(j) = -3*j**2. Let i(r) = 4913107*r. Give n(i(b)).
-72415861180347*b**2
Let b(l) = 6*l - 26*l - 81*l - 3*l. Let n(t) = t. Give n(b(z)).
-104*z
Let f(s) = 3*s**2. Let r(h) be the third derivative of -h**4/12 + 10*h**3/3 + 573*h**2. Give r(f(n)).
-6*n**2 + 20
Let d(w) = w - 1. Let v(u) = -9*u - 3*u + 2*u - 2 + 13. Let p(t) = -22*d(t) - 2*v(t). Let c(i) be the second derivative of i**3/3 + i. Determine p(c(f)).
-4*f
Let f(q) = -6611*q + 1. Let r(a) = -4*a**2. Determine f(r(p)).
26444*p**2 + 1
Let t(s) be the first derivative of 5*s**2 - 1. Let l(i) be the first derivative of 39 - 1/2*i**2 + 0*i. Calculate l(t(v)).
-10*v
Let u(b) = b**2. Let h(k) = -74629*k**2. Calculate h(u(s)).
-74629*s**4
Let n(b) = 2*b - 3. Let u(k) = -10*k + 18. Let w(p) = 6*n(p) + u(p). Let r(j) = 351*j**2. Determine w(r(v)).
702*v**2
Let m(b) = -27*b**2 - 9. Let n(q) be the third derivative of q**4/12 + 8*q**2 - 2. Determine n(m(k)).
-54*k**2 - 18
Let d(j) = -736*j. Let v(i) be the first derivative of -i**3/3 - 243. What is d(v(r))?
736*r**2
Let h(u) = 16*u**2 - u - 444. Let y(t) = -3*t**2. Give h(y(l)).
144*l**4 + 3*l**2 - 444
Let k(j) = -96212*j. Let s(g) = 2*g**2. Determine s(k(x)).
18513497888*x**2
Let c(y) = -2*y**2. Let b(v) be the third derivative of -v**7/315 - v**4/2 - 27*v**2. Let s(j) be the second derivative of b(j). Calculate c(s(l)).
-128*l**4
Let f(r) = -353 + 174 + 180 - 22*r. Let b(s) = 4*s**2 + 6*s. Let l(o) = -3*o**2 - 5*o. Let j(t) = 5*b(t) + 6*l(t). Determine j(f(h)).
968*h**2 - 88*h + 2
Suppose -3*b = 4*r - 732, 0*b + 888 = 5*r - 3*b. Let p be (448/(-96))/((-14)/12). Let f(l) = -p*l**2 + 180 - r. Let t(c) = -2*c**2. Determine f(t(h)).
-16*h**4
Let y(p) = 14*p - 14*p - p**2 + 2*p**2. Let l(t) = -74*t. Let a(j) = 75*j. Let u(i) = 2*a(i) + 3*l(i). Give y(u(z)).
5184*z**2
Let s(b) = 2*b. Let y be 1*(1/(-4) + 45/20). Let w(t) = 20*t**y + 20*t**2 - 31*t**2. What is s(w(f))?
18*f**2
Let a(u) be the first derivative of -2*u**2 - 2. Let s(r) be the third derivative of 1/24*r**4 + 2*r**2 + 0*r + 0 + 0*r**3. Determine a(s(y)).
-4*y
Let y(n) = 2*n**2. Let q = 22 + -23. Let x(t) = 24*t**2 - 18. Let g(o) = -o**2 + 1. Let f(s) = q*x(s) - 18*g(s). Determine f(y(w)).
-24*w**4
Let y(f) = -36*f + 2. Let i(d) = -151*d**2. Give y(i(q)).
5436*q**2 + 2
Let d(y) be the third derivative of y**5/10 + 51*y**2. Let l(a) be the first derivative of 2*a**3 + 16. What is l(d(w))?
216*w**4
Let h(g) = 19*g + 1. Let a(t) = 7*t. Determine h(a(y)).
133*y + 1
Let a(h) = -9*h + 63 - 63. Let s(w) = 13*w + 7. Let c(d) = -4*d - 2. Let f(u) = 7*c(u) + 2*s(u). Determine a(f(p)).
18*p
Let y(z) be the second derivative of -z**3/6 + 18*z**2 + 2*z + 70. Let i(o) = -5*o**2. Give y(i(u)).
5*u**2 + 36
Let o(z) be the second derivative of -4*z**3/3 + 2*z. Let u(q) be the second derivative of q**4/6 + 2*q + 17. Determine u(o(s)).
128*s**2
Let s(n) = -8*n**2 - n + 2103. Let c(p) = -p. What is s(c(r))?
-8*r**2 + r + 2103
Let i(n) = 10*n**2. Let z(h) = -11498*h. What is z(i(y))?
-114980*y**2
Let b(j) = 15*j**2. Let s(f) = -f**2 - 4279*f. Give s(b(d)).
-225*d**4 - 64185*d**2
Let g(u) = 97466*u**2. Let f(d) = d. Determine g(f(p)).
97466*p**2
|
{
"pile_set_name": "DM Mathematics"
}
|
81*m**2 + 13*m + 7. What are the prime factors of h(-2)?
5, 13, 17
Suppose 0 = 3*c - 2*w - 379, 3*w - 160 = -4*c + 368. Suppose f + 45 = c. Let l = f + -59. List the prime factors of l.
5
Let s(u) = -2*u**3 + u**2. Let x be s(-1). Suppose 3*f + x*l = -12, 4*l = -0*l - 16. Suppose f = -0*q + 4*q - 164. List the prime factors of q.
41
Suppose 4*j = 3*g - 1745, -140 - 444 = -g - j. What are the prime factors of g?
11, 53
Let o(z) = -1166*z. Let t be o(-8). What are the prime factors of (4/10)/1 + t/55?
2, 5, 17
Suppose 10*y = -4*m + 5*y + 330, -3*y = -6. Let g = 4 + -60. Let z = m + g. List the prime factors of z.
2, 3
Let p be 4/30 - 803/(-165). Suppose -4*l + 378 = d + 4*d, -p*d + 399 = -3*l. List the prime factors of d.
2, 3, 13
Suppose 0 = -7*b + 5226 - 690. List the prime factors of b.
2, 3
Let r(v) = -v**2 + 9*v - 2. Let f be r(8). Let q be -3*(-1 + (-76)/f). Let d = -6 + q. List the prime factors of d.
5, 7
Let p be (9/4)/(42/560). List the prime factors of ((-4)/6)/((-5)/p).
2
Let i(k) = -41*k - 112. List the prime factors of i(-63).
7, 353
Suppose v - 3*m = 42, 5*m = 3*v - 57 - 61. Let f = -31 + v. What are the prime factors of f?
5
Suppose 4*k = 4*d + 16, -5*k = -4*d + 2*d - 17. Suppose 0 = k*j - 15. Suppose -10*r + 105 = -j*r. List the prime factors of r.
3, 7
Let c = -14 + 16. Suppose 4 = -c*q - 4. List the prime factors of 5*3 - (q + 7).
2, 3
Let p(m) = -3*m**3 - 11*m**2 + 23*m + 3. Let d(b) = -2*b**3 - 7*b**2 + 15*b + 2. Let y(x) = 7*d(x) - 5*p(x). What are the prime factors of y(-7)?
2, 5
Let i(v) = 262*v**2 + 19*v - 31. What are the prime factors of i(2)?
5, 211
Let j = -122 + 127. Suppose j*l = 109 + 201. What are the prime factors of l?
2, 31
List the prime factors of (-10)/(-15) - 9284/(-6).
2, 3, 43
Suppose 7 = 2*y - 3*q + 6*q, 4*y - q = 7. Suppose 0*u - 4*u = -16, -y*s + 3*u = -240. What are the prime factors of s?
2, 3, 7
Suppose -4*h - 2*i = -0*h - 1390, -h + 2*i = -360. What are the prime factors of h?
2, 5, 7
Let i = -3 - -257. What are the prime factors of i?
2, 127
Let i(s) = 41*s + 18. Let q = -80 + 85. What are the prime factors of i(q)?
223
List the prime factors of (659 - -6)/(1 + 0/2).
5, 7, 19
Let d(i) = 59*i**3 + i**2 + i + 4. What are the prime factors of d(2)?
2, 241
Suppose 0 = 3*w - 6*w. Suppose w = 4*r + v - 201, 0 = -3*r - 0*v - 2*v + 157. What are the prime factors of r?
7
Let u(b) = 2*b + 12. Let h = -13 + 9. Let j be u(h). Suppose -5*s + j*s = -23. What are the prime factors of s?
23
Suppose -235*r + 241*r = 4710. What are the prime factors of r?
5, 157
List the prime factors of 40/((-94)/318 - 56/(-168)).
2, 5, 53
Suppose f - 6*f = h - 191, -191 = -h + 4*f. List the prime factors of h.
191
Suppose -5*z - 2144 = -3*l, 0 = -5*l - 71*z + 75*z + 3582. What are the prime factors of l?
2, 359
Let t(w) = 37*w**2 + 3*w + 7. What are the prime factors of t(-3)?
331
Suppose 14 = -l + 3*d, l + 4*d = 5*l + 24. List the prime factors of (-1)/(2/356*l).
89
Let b(z) = -z**3 - 5*z**2 + 7*z + 9. Let q be b(-6). Suppose -q*n + 7*n - 228 = 0. What are the prime factors of n?
3, 19
Let c(v) be the first derivative of 9*v**2/2 + 5*v + 18. What are the prime factors of c(13)?
2, 61
Let s be -2*(-1)/(-5)*5 + 32. Suppose 3*y - 69 = s. What are the prime factors of y?
3, 11
Suppose z + 1 = -7*l + 6*l, 4*l + 3*z + 1 = 0. Suppose 4*s - 4 = 2*k - 52, 58 = 2*k + s. What are the prime factors of (0 + l/2)*k?
2, 7
Let k = 178 - 176. List the prime factors of k.
2
Suppose -29*n + 2292 = -27*n. List the prime factors of n.
2, 3, 191
What are the prime factors of 19/76*3688 - (1 + -1)?
2, 461
Let a = -117 + 133. Suppose -a*j + 667 = -549. List the prime factors of j.
2, 19
Let f = -690 - -1024. Let n = 514 - f. List the prime factors of n.
2, 3, 5
Suppose p - 118 = -2*w, -6*w - 139 = -p - w. Let k = p + 28. What are the prime factors of k?
2, 19
Suppose s - 4*o - 440 = 0, 4*o + 467 = 3*s - 893. List the prime factors of s.
2, 5, 23
Let q be (-2)/(-3) + (-68)/3. Let t(c) = -6*c - 5. Let o be t(-8). Let k = q + o. What are the prime factors of k?
3, 7
Let r(k) = 54*k**2 + k + 1. Let g(m) = m**3 + 9*m**2 - 10*m - 1. Let n be g(-10). What are the prime factors of r(n)?
2, 3
Let c(h) be the first derivative of -h**4/4 + 10*h**3/3 - h**2/2 - 9*h + 20. What are the prime factors of c(9)?
3, 7
Suppose -4*j + 3 = -5*j. List the prime factors of -1*(j - 28)*1.
31
Let b = -1916 + 3899. List the prime factors of b.
3, 661
Let u(o) = 2*o**3 - 9*o**2 - 19*o - 32. What are the prime factors of u(11)?
2, 3, 37
Let q(c) = -2*c + 8. Let g be q(9). Let d(i) = -i**3 + 9*i**2 - 7*i + 3. Let h(o) = o**3 - o - 1. Let b(z) = -d(z) - 2*h(z). List the prime factors of b(g).
3
Let o(d) = d**3 - 15*d**2 + 14*d - 7. Let l be o(14). Let z(a) = -a**3 - 6*a**2 - 9*a - 7. List the prime factors of z(l).
3, 5, 7
Suppose 7*n + 7*n - 2380 = 0. Let l = n - 59. List the prime factors of l.
3, 37
Suppose 10 = 2*b - 20. Suppose b = -m + 82. Suppose m = 4*o - 5. What are the prime factors of o?
2, 3
Suppose 109 = -2*k + 319. Let x = k + -71. What are the prime factors of x?
2, 17
Let y be (-8)/((-32)/(-84))*-1. List the prime factors of -3 - ((-571)/7 - 9/y).
79
Suppose -h = 2*h. Suppose -4*b + 1 = 5, h = 2*n + b - 7. Suppose -z + n*z = -5*g + 213, 4*z = 3*g - 122. What are the prime factors of g?
2, 3, 7
Let p(k) = k**3 - 7*k**2 + k + 5. Let r be p(7). Let b(v) = -2*v + 0*v + 21 + 3*v + r. What are the prime factors of b(0)?
3, 11
Let r = 694 - -47. List the prime factors of r.
3, 13, 19
What are the prime factors of 703*(4 + -4 + 1)?
19, 37
Let y(i) be the second derivative of -5*i**3/3 + 9*i**2/2 - 4*i - 27. Suppose -5*o - 10 = 5*l, 5*o - 7 = l - 29. What are the prime factors of y(o)?
7
Let j = -544 + 1174. What are the prime factors of j?
2, 3, 5, 7
Suppose 0 = -4*o - 5*c + 6264, o - 3*o + 4*c + 3132 = 0. What are the prime factors of o?
2, 3, 29
Let k(n) = -n**3 - 14*n**2 + 12*n - 17. Let m be k(-15). Suppose 5*w = w + m. What are the prime factors of w?
7
Suppose -2*f - 3*f = -20. Suppose j = f*j. Suppose -t + 0*t + 5 = j. What are the prime factors of t?
5
Let f be (-32)/(-24)*6/2. Let v be (-2)/(-4)*f + 122. Suppose 0 = 4*p - 0 - v. What are the prime factors of p?
31
Let q(h) = -3*h - 15. Let r be q(-6). Suppose r*s = -x + 23, -1 = -3*s + 2*s. List the prime factors of x.
2, 5
Suppose -3*h - 2*k = 83, 3*h = k - 39 - 41. Let s = h - -164. What are the prime factors of s?
137
Let o(b) = -b + 13. Let g be o(9). Suppose 5*v = -5*d, 3*v - g*d = -0*d. Suppose 4*w - 40 = -v*w + 2*s, 2*w = 4*s + 26. List the prime factors of w.
3
Let y(c) = -47*c - 43. Let a be y(-6). Let g = 460 - a. What are the prime factors of g?
13, 17
Let z = -775 + 1439. What are the prime factors of z?
2, 83
Let t be -3*(-4 - 1) + -1. Suppose n - 3*b - 13 = -2, 3*n = 5*b + 33. Suppose t*h - 42 = n*h. List the prime factors of h.
2, 7
Let i(t) = 7*t**2 + 7*t + 1. What are the prime factors of i(-4)?
5, 17
Let t = -19 + 13. Let j(d) = 5*d - 13. Let z(c) = 4*c - 14. Let m(k) = t*z(k) + 5*j(k). List the prime factors of m(0).
19
Suppose 0 = -4*q - 3*o + 10962, -2*q - 16*o + 13*o + 5484 = 0. What are the prime factors of q?
3, 11, 83
Let j = -8 - -15. Let w(u) = u**2 - 6*u + 6. Let z be w(j). Let n = 51 - z. List the prime factors of n.
2, 19
Suppose -3*j - 5*q + 4*q + 346 = 0, 0 = -3*j - 5*q + 338. List the prime factors of j.
2, 29
Let y be (-4)/12 + (-1)/(-3). Suppose 0 = 3*t - y*t + 291. Let c = 160 + t. What are the prime factors of c?
3, 7
Let u = 26 + -8. Suppose -2*y - 3*b - 2*b = u, -b + 44 = -3*y. Let f = y - -86. List the prime factors of f.
2, 3
Let b(z) = -5*z**2 + 5*z + 8. Let v be b(-6). Let t = 284 + v. What are the prime factors of t?
2, 41
Suppose -j + 7 = 4. Let i be ((-28)/j)/((-6)/(-18)). Let k = -24 - i. List the prime factors of k.
2
Suppose -5*p = 5*c - 20210, -12 = 18*p - 21*p. List the prime factors of c.
2, 3, 673
Suppose 4*m - 12 - 8 = 0. Let f(l) be the third derivative of l**4/3 + l**3/2 + 2*l**2. List the prime factors of f(m).
43
Suppose 75*s = 71*s + 11228. List the prime factors of s.
7, 401
Suppose 0 = -5*r - 3*j + 224 + 22139, 0 = 4*r + 5*j - 17880. What are the prime factors of r?
5, 179
What are the prime factors of (5738/10 - (-33)/165) + -7?
3, 7
Let v(o) = o**
|
{
"pile_set_name": "DM Mathematics"
}
|
: 4, h: 3, l: 2, d: 2, x: 3}?
1/140
Calculate prob of sequence ku when two letters picked without replacement from {k: 1, r: 1, a: 6, v: 2, u: 2}.
1/66
Three letters picked without replacement from {n: 4, b: 2, a: 1, o: 3}. Give prob of sequence ann.
1/60
What is prob of sequence xqqk when four letters picked without replacement from qtiliqiitkqktqqqtxik?
1/1292
Two letters picked without replacement from ffgffgffgfff. What is prob of sequence ff?
6/11
Calculate prob of sequence qss when three letters picked without replacement from {q: 3, u: 1, s: 6, e: 3, a: 2}.
3/91
Two letters picked without replacement from ccccfcccfcfcffccffc. Give prob of sequence fc.
14/57
Four letters picked without replacement from {y: 1, a: 1, q: 12, u: 1, l: 2}. Give prob of sequence yluu.
0
Two letters picked without replacement from cyupcu. Give prob of sequence uy.
1/15
Three letters picked without replacement from {h: 12, z: 3}. Give prob of sequence hzz.
12/455
Calculate prob of sequence vm when two letters picked without replacement from {m: 1, j: 3, f: 1, v: 1, q: 1}.
1/42
Calculate prob of sequence cjjp when four letters picked without replacement from {u: 1, y: 1, p: 2, j: 4, c: 2}.
1/105
Two letters picked without replacement from {v: 7, x: 3, h: 5, p: 2, e: 1}. Give prob of sequence hh.
10/153
Three letters picked without replacement from {t: 11, e: 1, s: 2}. What is prob of sequence tse?
11/1092
What is prob of sequence xx when two letters picked without replacement from {i: 1, x: 1, j: 1}?
0
Calculate prob of sequence xxix when four letters picked without replacement from {j: 4, i: 2, m: 8, x: 5}.
5/3876
Calculate prob of sequence ccpf when four letters picked without replacement from {f: 1, c: 3, p: 2, h: 1, b: 4}.
1/660
Three letters picked without replacement from cfgggffffzffcfffcfff. What is prob of sequence gfg?
13/1140
Calculate prob of sequence dd when two letters picked without replacement from dccdddddccddcdcddd.
22/51
What is prob of sequence ssts when four letters picked without replacement from {s: 7, q: 1, t: 1}?
5/72
Two letters picked without replacement from ggaga. What is prob of sequence ag?
3/10
Two letters picked without replacement from qiiqiiqqqiiqqfiiiiiq. Give prob of sequence if.
11/380
Three letters picked without replacement from {i: 2, u: 1, l: 1, t: 3, x: 7}. What is prob of sequence uxx?
1/52
Three letters picked without replacement from xttkxtkkmxtkxtm. Give prob of sequence xtt.
8/273
What is prob of sequence zs when two letters picked without replacement from oppwzszhh?
1/36
Three letters picked without replacement from jjggjjggggjgj. What is prob of sequence ggj?
21/143
Three letters picked without replacement from zzizzzzzi. Give prob of sequence izz.
1/6
What is prob of sequence iuon when four letters picked without replacement from iounnnnouibuoo?
4/1001
Two letters picked without replacement from {l: 3, d: 3}. Give prob of sequence dl.
3/10
Three letters picked without replacement from {x: 6, p: 4}. Give prob of sequence xpx.
1/6
Calculate prob of sequence yy when two letters picked without replacement from {y: 2, g: 5}.
1/21
What is prob of sequence wah when three letters picked without replacement from {h: 1, a: 1, w: 1, n: 2}?
1/60
What is prob of sequence qjj when three letters picked without replacement from {q: 3, j: 8}?
28/165
Four letters picked without replacement from {e: 1, x: 2, y: 1, j: 1, u: 1, a: 1}. What is prob of sequence yauj?
1/840
Two letters picked without replacement from ezzzddeedezee. What is prob of sequence dd?
1/26
What is prob of sequence mm when two letters picked without replacement from mmmmmmmmmmmmmmy?
13/15
What is prob of sequence qq when two letters picked without replacement from rqqrqr?
1/5
Calculate prob of sequence oo when two letters picked without replacement from {t: 2, d: 2, o: 3, i: 2}.
1/12
Three letters picked without replacement from vwmzwwvznzz. What is prob of sequence vnn?
0
What is prob of sequence gggg when four letters picked without replacement from {g: 7, j: 4}?
7/66
Three letters picked without replacement from ttitpptttppiti. Give prob of sequence ptp.
1/26
Three letters picked without replacement from {q: 7, b: 5, a: 8}. Give prob of sequence qaq.
14/285
Calculate prob of sequence pm when two letters picked without replacement from {b: 4, g: 1, a: 3, m: 2, p: 2}.
1/33
What is prob of sequence ccck when four letters picked without replacement from cckcck?
2/15
Three letters picked without replacement from meisn. What is prob of sequence ise?
1/60
Three letters picked without replacement from pblyuplgugglgllppl. Give prob of sequence pub.
1/612
Calculate prob of sequence cbb when three letters picked without replacement from bbbcbbcbbsbbsbscbb.
11/136
What is prob of sequence vw when two letters picked without replacement from {v: 4, w: 7}?
14/55
Three letters picked without replacement from aapeaaaepeaepeeee. What is prob of sequence aee?
7/85
Two letters picked without replacement from {w: 1, d: 1, h: 1, i: 2, e: 1, m: 1}. What is prob of sequence mw?
1/42
Calculate prob of sequence sysl when four letters picked without replacement from gylyysiflyis.
2/1485
Four letters picked without replacement from {e: 4, u: 6}. What is prob of sequence eeuu?
1/14
Three letters picked without replacement from zcvtzt. What is prob of sequence tcv?
1/60
Four letters picked without replacement from {w: 7, i: 3, r: 7, b: 2}. What is prob of sequence iwrr?
49/5168
Calculate prob of sequence ms when two letters picked without replacement from {g: 4, o: 1, m: 2, y: 1, s: 1}.
1/36
Two letters picked without replacement from {t: 1, z: 1, q: 1, h: 1, b: 1}. What is prob of sequence hq?
1/20
Three letters picked without replacement from {q: 4, r: 6, w: 4}. Give prob of sequence rrr.
5/91
Two letters picked without replacement from pppa. What is prob of sequence ap?
1/4
What is prob of sequence ggmm when four letters picked without replacement from msggmaaakgaasak?
1/2730
Three letters picked without replacement from {z: 1, a: 8, w: 3, v: 6}. Give prob of sequence vaa.
7/102
Two letters picked without replacement from thhpepeepbtbptk. What is prob of sequence ee?
1/35
Three letters picked without replacement from {k: 1, w: 3, q: 5, y: 1, j: 1}. Give prob of sequence wwy.
1/165
Calculate prob of sequence qs when two letters picked without replacement from {q: 1, s: 6, u: 7}.
3/91
Calculate prob of sequence upp when three letters picked without replacement from {o: 1, u: 6, p: 12}.
44/323
Four letters picked without replacement from kgcscyk. Give prob of sequence ksyc.
1/210
Calculate prob of sequence bfm when three letters picked without replacement from fmmfbdvd.
1/84
What is prob of sequence tow when three letters picked without replacement from {b: 6, q: 1, w: 6, t: 1, o: 5}?
5/969
Two letters picked without replacement from rrbbrbjbrlrrilrbb. Give prob of sequence bl.
3/68
Two letters picked without replacement from yyyyyyyygygggg. Give prob of sequence gg.
10/91
What is prob of sequence ksk when three letters picked without replacement from {d: 2, p: 1, c: 1, k: 3, b: 1, s: 4}?
1/55
Two letters picked without replacement from {b: 2, t: 3, e: 3, y: 7, s: 3, a: 1}. What is prob of sequence ey?
7/114
What is prob of sequence ggw when three letters picked without replacement from {w: 2, x: 10, g: 3}?
2/455
What is prob of sequence agfa when four letters picked without replacement from {t: 1, f: 2, g: 1, e: 2, a: 2}?
1/420
Two letters picked without replacement from {p: 11, m: 1}. Give prob of sequence pp.
5/6
Four letters picked without replacement from zzzzzaazzzzzz. Give prob of sequence zaaz.
1/78
Four letters picked without replacement from qqqqqoqqqoqoqqqqqoqq. Give prob of sequence qooo.
16/4845
Two letters picked without replacement from pppnocppwecc. Give prob of sequence wn.
1/132
Two letters picked without replacement from vrrrprbpbrrpppibrv. What is prob of sequence rv?
7/153
Three letters picked without replacement from {l: 2, t: 2, x: 1, b: 4}. Give prob of sequence llx.
1/252
Calculate prob of sequence bohe when four letters picked without replacement from ehbon.
1/120
Three letters picked without replacement from dkcytdkkwtktykkdkkk. What is prob of sequence cyt
|
{
"pile_set_name": "DM Mathematics"
}
|
of i?
True
Let i(o) = -4*o + 8 + 5*o + 0*o + 4*o. Let l be i(5). Let s = l - -32. Is 13 a factor of s?
True
Let k(o) = o - 215. Let w(v) = 214. Let s(a) = 2*k(a) + 3*w(a). Let p be s(0). Suppose 33 = 5*q - p. Is 16 a factor of q?
False
Is 21 a factor of (12/14)/((-15)/(-27195))?
True
Does 10 divide ((-1 - 5) + 2 - -1)*-87?
False
Let z = -120 + 143. Is 8 a factor of z?
False
Let i(b) = -b**3 + 16*b**2 - 10*b + 27. Does 7 divide i(15)?
False
Let r(l) = -l**3 - 12*l**2 + 4. Let j be r(-12). Let c(p) = 6*p - 3. Does 7 divide c(j)?
True
Does 11 divide (8/(-5))/((-16)/120)?
False
Let o = -1173 - -1593. Is o a multiple of 20?
True
Suppose p - 43 = -3*p + 3*c, 0 = -5*p - 4*c + 15. Suppose -3*i - 65 - p = 0. Does 9 divide 18*(-4)/(i/9)?
True
Suppose -2*m + 6 = 4*q, -3 + 4 = -3*q + 4*m. Let r be 3 + 106 + 3 - q. Suppose -2*c + 6*p + r = 5*p, 2*c - 101 = -p. Does 27 divide c?
False
Let s = 63 + -11. Let i = -40 + s. Does 12 divide i?
True
Let v = -186 - -231. Is 15 a factor of v?
True
Suppose 0*n - n + 143 = -3*i, -i = 4*n - 572. Suppose 145*b - 46 = n*b. Is 7 a factor of b?
False
Let f(i) = -2*i**2 + 5*i + 17. Let p(w) = w. Let t(x) = -f(x) + 3*p(x). Does 17 divide t(6)?
False
Suppose -20 = -0*t - 5*t, -4*t = 4*y + 156. Let x = y - -78. Suppose -95 + x = -4*g. Does 8 divide g?
False
Let z(y) = 4*y**2 + 0*y + y - y**3 - 15*y + 11*y**2 + 3. Let t be z(14). Does 28 divide -101*(t + (-16)/4)?
False
Suppose 38*t - 31*t - 13629 = 0. Is t a multiple of 34?
False
Let b = 6359 + -2993. Is 66 a factor of b?
True
Suppose 0 = -8*k + 1694 + 282. Does 6 divide k?
False
Let d be ((-12)/(-15))/(5/(-25)). Let i be (-5 + 7)/((-2)/d). Suppose -a - 4*a + 5*g + 135 = 0, 2*a - i*g - 52 = 0. Is a a multiple of 14?
True
Suppose 5*q + 319 = 16*q. Let c = -6 + q. Does 16 divide c?
False
Let l = 14 + -5. Let t = l - 5. Suppose -26 = -5*f + t*w + 61, 47 = 3*f - 5*w. Is f a multiple of 5?
False
Let p = -269 - -454. Is p a multiple of 5?
True
Let p(i) = -3*i**2 + 3*i + 2. Let x be p(-1). Let b = x - -7. Suppose -2*d + 2*t + 99 = b*d, 5*d = t + 102. Does 14 divide d?
False
Let x = 395 - 43. Does 21 divide x?
False
Let d(m) = 2*m**3 - 5*m**2 - 29*m + 20. Does 14 divide d(9)?
True
Let y = 124 + -89. Suppose -122 = -3*i - y. Let r = 51 - i. Is 8 a factor of r?
False
Suppose 2*i = -i. Suppose -2*m + 0*m + 30 = i. Does 20 divide 16/(-6)*m/(-2)?
True
Let r(s) = s**2 + 2*s - 2. Let y be r(-4). Let l be y/(-4) + (-10)/(-4). Is 13/(-3 - -4*l) a multiple of 4?
False
Is 4 a factor of 7 + -5 - (-7 + 2)?
False
Let o = 815 - 567. Is o a multiple of 31?
True
Let u(f) be the first derivative of f**3/3 + 13*f**2/2 - 38*f + 37. Is 19 a factor of u(6)?
True
Suppose -2*w - 5*v + 133 = -0*v, -379 = -5*w + 3*v. Suppose -41*f = -42*f + w. Is 13 a factor of f?
False
Let s be 4*4/(1/1). Let f be s/(-40) - 44/(-10). Let a = 20 + f. Is 6 a factor of a?
True
Suppose 0 = -17*b - 2*b + 1653. Is 11 a factor of b?
False
Suppose 4*o - 7*o + 9080 = 5*w, -w + 5*o + 1844 = 0. Is 12 a factor of w?
False
Let a(n) = 7*n**2 - 174*n + 17. Does 56 divide a(34)?
False
Let z(x) = -x**2 + 4*x + 5. Suppose -2*k = 3*p - 17, 6*p - 5*p = -2*k + 11. Let h be z(k). Suppose 58 = h*a - 3*c, c + 2*c - 26 = -a. Does 7 divide a?
True
Is 15 a factor of 2/((-24)/60) - -1368?
False
Suppose 5*w + 2*a + 0 - 13 = 0, -a - 1 = 0. Suppose -w*x - 2*x = -5. Let h(v) = 11*v**3 + v**2 + v - 1. Does 6 divide h(x)?
True
Suppose c - 324 = -5*q, 2*q - 1225 = -4*c + 89. Is c a multiple of 9?
False
Let t(z) = z**3 + z**2 + z + 1. Let k(y) = 5*y**3 + 15*y**2 + 3*y + 5. Let g(x) = k(x) - 4*t(x). Does 12 divide g(-11)?
True
Suppose -11*w + 26*w = 2520. Is w a multiple of 56?
True
Suppose 67*w + 4*a = 65*w + 3456, 5*a - 8630 = -5*w. Does 103 divide w?
False
Let r = -65 - -114. Let n be 28/r - 416/(-7). Suppose -p = p - n. Is 8 a factor of p?
False
Suppose -2*r - 3*r = -720. Is r a multiple of 36?
True
Let h(q) be the third derivative of q**6/24 - q**5/15 + q**4/8 - q**3/3 - 17*q**2. Does 21 divide h(2)?
False
Let m(h) = 1 - 1 - 2 + 3. Let n(t) = -t**2 + 1. Let r(z) = 6*m(z) + n(z). Does 2 divide r(0)?
False
Suppose -5*u - 6 = -t, u + 3 - 5 = t. Let x be (0 - u)/((-6)/(-9)). Suppose 0 = -x*s + 36 + 24. Is 10 a factor of s?
True
Let l(n) = 101*n**2 - n. Is l(-1) a multiple of 6?
True
Suppose 4*l = -l - 1055. Let u = -71 - l. Does 14 divide (3/(-2))/((-5)/u)?
True
Suppose 0*x - 7*x = -637. Is x a multiple of 21?
False
Let w = 38 + -18. Is w/(-3)*(-45)/10 a multiple of 24?
False
Suppose -3*q + 40 = 2*q. Suppose -2*u = -4*u + 3*r + 13, -2*u = 2*r - q. Suppose 5*m + 5*x - 85 = 0, u*m = x + 36 + 25. Is m a multiple of 4?
False
Does 16 divide (-8)/(-1) - 4992/(-6)?
False
Let r = -432 + 788. Suppose 5*u + r = 981. Does 25 divide u?
True
Suppose 30*r + 5*r = 21980. Is 4 a factor of r?
True
Let o = 11 - -23. Suppose -5*t - 5 = 15, -5*l - 4*t + o = 0. Is 3/(-5) + 166/l a multiple of 16?
True
Let m(o) = 2*o**3 + 4*o**2 + 11*o + 7. Is m(9) a multiple of 16?
True
Let y be (-3)/3*(26 + 1/1). Let s = y + 45. Does 6 divide s?
True
Does 113 divide (-10)/(-15 + 17 - 2280/1138)?
False
Let q = 29 + -6. Suppose -24*c + 186 = -q*c. Does 34 divide c?
False
Is 97 a factor of (44/(-77))/(5/(-23485))?
False
Suppose 3*m - 1 = -5*f, -4*f - 6 = 5*m + 1. Suppose -f*l = l. Suppose 4 + l = h. Is h a multiple of 4?
True
Suppose -d = -233 - 56. Does 33 divide d?
False
Let p = -34 - -31. Is 16*(5 + p) + 1 a multiple of 11?
True
Suppose -3*f - 48 = 3*f. Is ((-10)/(-15))/(f/(-732)) a multiple of 9?
False
Let y(v) = -v**2 - 25*v + 9. Let c be y(-21). Suppose -5*m - 5*g + 51 + 74 = 0, 4*m - 3*g = c. Does 3 divide m?
True
Let g = 513 - 493. Does 20 divide g?
True
Suppose r + 5*b = -6, 3*r + 37 + 32 = 2*b. Let u = -70 - -98. Let c = r + u. Does 7 divide c?
True
Let y(i) = 35*i**2 - 4*i - 15. Suppose 8*n - 18 = 14*n. Is y(n) a multiple of 52?
True
Let g = 1 + -5. Is 17 a factor of (-183*g/(-6))/(-2)?
False
Is 1/(3/(-558))*(-5)/15 a multiple of 31?
True
Is 19 a factor of 117 + 2 + 6 + -1*7?
False
Let l be 0 - (4 + (-9)/(4/4)). Suppose -4*u - l*t = u - 250, 5*t + 270 = 5*u. Is u a multiple of 34?
False
Suppose 1876 = 2*b + 186. Suppose b = 5*q - m, -4*q + 196 = 5*m - 451. Does 42 divide q?
True
Suppose -7*q + 3124 = -3*q. Does 36 divide q?
False
Suppose -2*n - f = 2*f - 18, -3*n + 5*f + 46 = 0. Is (9/(-4))/(n/(-384)) a multiple of 24?
True
Suppose 40 = 2*t - 4*p, 0*t = -2*t - 3*p + 19. Let k = t - 23. Let r(g) = -4*g - 15. Is 7 a factor of r(k)?
True
Let x(y) = 9*y**3 + 2*y - 1. Let b be x(2). Let k(r) = 4*r - 4*r + b + r**2. Is k(0) a multiple of 14?
False
Let g be (-1)/((-1)/(1252/(-4))). Let v = -193 - g. Is v a multiple of 24?
True
Let u(p) = 21*p**3 + 3*p**2 + p + 5. Let h be u(3). Suppose -5*m = -3*k - h, 0 = -4*m - 6*k + 2*k + 488. Does 10 divide m?
False
Let o(q) = 7*q - q - 24 + 23. Is 17 a factor of o(3)?
True
Let q(k) = 13*k + 18. Let w be q(6). Let v = -76 + w. Is 5 a factor of v?
True
Is 6 a factor of ((-3190)/(4 + 6))/(-1)?
False
Suppose 2421*j = 2420*j + 131. Is 12 a factor of j?
False
Let s(m) = 2*m - 7. Let u be s(6). Suppose -2*a - a = -u*g + 28, -4*g - 4*a = -16. Suppose -g*b + 297 = -4*x + x, 236 = 4*b - 2*x. Is 19 a factor of b?
True
Let u(w) = -5*w**3 - 12*w**2 - 5*w - 3. Does 9 divide u(-6)?
True
Let c(s) = s**3 + 2*s**2 - 5*s - 4. Let p be c(-3). Let u(l) = 12*l. Let x be u(1). Suppose 2*q - x = -5*f + 93, -p*q = 0. Does 8 divide f?
False
Let a(v) = -v**2 - 4*v. Suppose -4*k - 5 = 7. Let l be a(k). Suppose 0 = -l*j + j + y + 43, 0 = 4*j + 3*y - 91. Does 11 divide j?
True
Suppose -4*y = 8, 30 = -0*o + o - y. Let q be 1*-10 - (-140)/(-20). Let v = o + q. Does 9 divide v?
False
Let h(t) = t**3 + 21*t**2 + 22*t - 12. Let n be h(-17). Suppose 25*a = 20*a + n. Does 19 divide a?
False
Let m = -11 + 15. Let i be m + -2 - 0/(-1). Suppose -5*h + 84 = i*w - 38, 0 = -4*h + 3*w + 93. Does 8 divide h?
True
Let u be 4/(-8)*(1 + -1) - 36. Let j = u + 246. Is j a multiple of 14?
True
Let b(z) be the first derivative of 3*z**4/2 - 2*z**3/3 - 2*z**2 - 17. Is 24 a factor of b(3)?
False
Let j be (2 - 3)*(-5)/1. Suppose 4*z - 378 = -j*g - 54, -3*g - 4*z + 188 = 0. Is 17 a factor of g?
True
Let q be 2 + ((-10)/(-1) - 2). Let h = q + -16. Is 3 a factor of (5 - 3) + h/(-2)?
False
Let j = 26 + -22. Sup
|
{
"pile_set_name": "DM Mathematics"
}
|
15)?
10
Let s(m) = m**2 + 3*m - 570. Determine s(-26).
28
Let k(a) = -5*a**3 - 24*a**2 - 15*a + 18. Determine k(-4).
14
Let p(s) = 4*s**3 + 85*s**2 + 6*s - 328. Determine p(-21).
-13
Let t(d) = 3*d - 149. What is t(49)?
-2
Let z(w) = 19*w + 275. Calculate z(-14).
9
Let z(g) = -2*g - 116. Determine z(-35).
-46
Let k(r) = -33*r - 141. Determine k(-3).
-42
Let m(v) = 3*v**2 + 94*v + 256. Give m(-28).
-24
Let u(y) = -10206*y - 51052. What is u(-5)?
-22
Let d(q) = q**2 - 114*q - 3274. Give d(138).
38
Let l(a) = -4*a**2 - 12*a + 2614. What is l(24)?
22
Let m(w) = 8399*w + 16804. What is m(-2)?
6
Let t(j) = -j**3 + 26*j**2 - 2*j + 187. What is t(26)?
135
Let k(j) = -2*j**3 - 12*j**2 - 86*j - 692. Determine k(-7).
8
Let u(s) = 112*s**2 - 1203*s + 2. What is u(11)?
321
Let u(q) = 32*q**2 - 6*q + 6. Determine u(1).
32
Let u(i) = 103*i + 4914. Give u(-48).
-30
Let t(o) = 83*o + 1614. What is t(-19)?
37
Let l(j) = -4*j**2 + 106*j - 634. What is l(9)?
-4
Let i(w) = -5*w**2 - 470*w + 510. What is i(-95)?
35
Let v(m) = -2*m**2 + 3*m + 358. What is v(20)?
-382
Let n(o) = -o**3 - o**2 + 2*o + 77. Give n(0).
77
Let h(s) = -294*s - 1108. What is h(-4)?
68
Let c(m) = -71*m + 9. Calculate c(-3).
222
Let r(o) = -27*o**2 - 317*o - 16. Give r(-12).
-100
Let n(s) = -9*s + 6. Give n(-3).
33
Let k(t) = -6*t**2 + 28*t - 146. Determine k(5).
-156
Let x(z) = -2*z**2 + 79*z + 920. What is x(54)?
-646
Let y(o) = -o**2 + 16*o + 2341. What is y(-41)?
4
Let y(j) = -j**2 - 39*j + 132. Calculate y(-37).
206
Let y(x) = -8*x**2 - 9*x + 37. Determine y(3).
-62
Let y(p) = -96*p - 19. Determine y(0).
-19
Let a(r) = -r**3 - 42*r**2 - 51*r - 282. What is a(-41)?
128
Let s(j) = j**3 + 38*j**2 + 193*j - 9. What is s(-32)?
-41
Let a(t) = 377*t + 75835. Give a(-201).
58
Let t(d) = 185*d - 316. Calculate t(2).
54
Let g(a) = 8*a + 452. What is g(-59)?
-20
Let v(t) = -2*t**3 - 17*t**2 + 210*t + 1612. Determine v(-7).
-5
Let f(n) = n**3 + 20*n**2 + 59*n - 77. Determine f(-16).
3
Let m(x) = 38*x - 2007. What is m(53)?
7
Let v(m) = -9*m**2 + 230*m - 57. Determine v(25).
68
Let w(k) = 9*k + 733. Determine w(-59).
202
Let o(j) = 484*j**3 - 969*j**2 + 5*j. Give o(2).
6
Let i(n) = 3*n**2 - 632*n - 5239. Give i(-8).
9
Let o(g) = -2*g**2 + 173*g + 4123. Give o(106).
-11
Let r(g) = -369*g - 7755. Determine r(-21).
-6
Let f(x) = 260*x - 4163. Calculate f(16).
-3
Let g(x) = -372*x**3 + x**2 + 3*x + 2. Determine g(-1).
372
Let u(c) = -2*c**3 - 44*c**2 - 69*c + 104. Give u(-20).
-116
Let m(i) = 2*i**3 - 9*i**2 + 16*i - 20. Give m(5).
85
Let q(h) = -2*h**2 - 64*h - 176. Calculate q(-29).
-2
Let j(x) = x**3 + 2*x**2 - 88*x + 8. Calculate j(-11).
-113
Let v(n) = n**3 - 47*n**2 + 101*n - 41. What is v(45)?
454
Let v(m) = -17*m**2 + 154*m - 317. What is v(2)?
-77
Let g(y) = -4*y**3 + 5*y**2 + 50*y - 100. What is g(2)?
-12
Let x(y) = 15*y**2 - 138*y + 31. What is x(9)?
4
Let q(t) = -1329*t - 2676. Determine q(-2).
-18
Let r(o) = 35*o + 166. Calculate r(-5).
-9
Let o(u) = u**3 - 8*u**2 + 12*u + 2. Give o(7).
37
Let i(c) = -c**2 + 27*c - 159. What is i(24)?
-87
Let l(h) = 4*h**2 - 151*h - 1554. Give l(-10).
356
Let a(h) = -10*h**2 + 347*h - 1716. What is a(6)?
6
Let s(m) = -110*m**2 - 186*m + 3. Calculate s(-2).
-65
Let a(r) = -r**2 + 25*r - 15. Give a(2).
31
Let c(o) = o**2 - 71*o + 393. What is c(65)?
3
Let s(f) = -f**3 + 11*f**2 - 16*f + 78. Give s(9).
96
Let f(l) = l**3 - 10*l**2 - 7*l - 65. Determine f(11).
-21
Let l(b) = b**2 + 72*b - 4579. Give l(-114).
209
Let q(i) = 11*i - 183. What is q(16)?
-7
Let u(t) = 84*t + 3768. What is u(-45)?
-12
Let l(p) = -23*p + 1014. Give l(45).
-21
Let r(z) = -z**3 - 12*z**2 + 28*z + 57. Calculate r(-14).
57
Let f(k) = -k**3 - 33*k**2 - 10*k - 332. What is f(-33)?
-2
Let z(w) = -w**3 - 21*w**2 - 105*w + 43. Give z(-10).
-7
Let n(a) = -a**2 - 56*a + 193. Determine n(-59).
16
Let m(c) = -73*c + 5750. Determine m(81).
-163
Let y(k) = -k**3 + 106*k**2 + 1032*k + 348. Determine y(115).
3
Let z(a) = -2*a**3 - 17*a**2 - 41*a - 71. Determine z(-6).
-5
Let i(f) = 3*f**2 - 155*f + 660. Determine i(47).
2
Let m(u) = -2*u**2 - 33*u - 58. Calculate m(-15).
-13
Let p(q) = -2*q + 153. Determine p(-1).
155
Let x(p) = 62*p**2 + 3789*p + 424. What is x(-61)?
-3
Let t(q) = 6*q**2 - 74*q - 168. Give t(-4).
224
Let j(y) = -y**3 - 17*y**2 - 78*y + 10. What is j(-8)?
58
Let i(w) = -2*w**3 + 63*w**2 - 282*w - 93. Calculate i(26).
11
Let y(w) = w**3 - 85*w**2 + 98*w - 1061. Give y(84).
115
Let v(i) = -9*i**2 + 21*i - 25. What is v(11)?
-883
Let w(q) = -14*q + 100. Calculate w(-9).
226
Let a(r) = 51*r + 951. Calculate a(-18).
33
Let y(a) = -648*a - 1343. Calculate y(-2).
-47
Let f(n) = n**3 + 18*n**2 + 63*n + 782. Determine f(-17).
0
Let a(y) = -523*y - 7144. What is a(-14)?
178
Let p(r) = r**3 - 109*r**2 + 510*r + 48. Calculate p(5).
-2
Let v(a) = 29*a**3 - 3*a - 1. Calculate v(-2).
-227
Let t(x) = 482*x + 6777. Give t(-14).
29
Let i(u) = 3999*u - 32017. Determine i(8).
-25
Let f(s) = 161*s - 30911. Determine f(192).
1
Let d(b) = -b**2 + 15*b - 10. What is d(9)?
44
Let u(p) = -3*p**2 + 33*p + 171. What is u(-6)?
-135
Let x(i) = -23*i**2 - 1362*i - 1361. What is x(-1)?
-22
Let x(d) = -5*d**2 + 84*d - 240. Determine x(19).
-449
Let r(x) = 1759*x + 1813. Calculate r(-1).
54
Let v(r) = -r**2 - 42*r - 8. Determine v(-42).
-8
Let w(f) = -78*f + 1227. What is w(17)?
-99
Let l(g) = -11*g**2 - 27*g - 5. What is l(-3)?
-23
Let k(p) = -111*p - 998. Determine k(-9).
1
Let f(w) = 16*w**2 + 5*w - 617. What is f(6)?
-11
Let p(h) = 2*h**3 + 11*h**2 - h - 95. Give p(-6).
-125
Let u(p) = -172*p + 800. Give u(4).
112
Let c(w) = w**3 - 14*w**2 + 27*w - 350. Determine c(14).
28
Let w(p) = p**2 - 46*p + 266. Give w(20).
-254
Let c(g) = -g**2 + 13*g - 57. Calculate c(11).
-35
Let k(h) = 35*h**2 - 700*h - 19. What is k(20)?
-19
Let o(d) = 2*d**3 - 13*d**2 - 6*d + 98. Give o(5).
-7
Let l(c) = -9*c + 508. Give l(58).
-14
Let k(b) = -15*b**2 + 11*b - 2. What is k(-2)?
-84
Let g(k) = 4*k**2 + 45*k - 11. Determine g(0).
-11
Let o(t) = -15*t - 285. What is o(-7)?
-180
Let r(p) = -2*p**2 + 32*p - 12. What is r(8)?
116
Let z(o) = -17*o - 372. What is z(-23)?
19
Let y(m) = -18*m**2 + 11*m + 11. Give y(-1).
-18
Let p(q) = q**3 + 63*q**2 - 65*q + 17. Calculate p(-64).
81
Let f(g) = 76*g - 648. Give f(9).
36
Let w(k) = 3*k**2 - 100*k - 4380. Give w(-25).
-5
Let s(w) = 153*w + 1221. Give s(-8).
-3
Let r(f) = -f**2 + 86*f - 1764. What is r(48)?
60
Let n(x) = 202*x + 5861. Calculate n(-29).
3
Let t(z) = -3369*z - 10101. Calculate t(-3).
6
Let f(y) = y**3 + 9*y**2 + 124*y + 533. What is f(-5)?
13
Let u(v) = v**3 + 19*v**2 - 2*v - 13. Give u(-5).
347
Let r(z) = 27*z - 74. Determine r(3).
7
Let x(z) = 1058*z - 3178. What is x(3)?
-4
Let n(m) = -531*m - 19648. Calculate n(-37).
-1
Let q(m) = 14*m - 531. Calculate q(38).
1
Let c(p) = 8*p**3 - 1038*p**2 - 260*p - 6. What is c(130)?
-6
Let f(p) = -31*p + 319. What is f(8)?
71
Let o(i) = 46*i. Give o(0).
0
Let l(b) = 5*b**2 - 4*b - 84. Calculate l(7).
133
Let k(i) = 4*i**3 - 21*i**2 - i + 9. What is k(5)?
-21
Let t(i) = 2686*i - 21484. Calculate t(8).
4
Let b(t) = 97*t + 970. Give b(-10).
0
Let t(l) = l**3 + l**2 + 6*l - 10. Calculate t(1).
-2
Let a(u) = u**3 + 24*u**2 - 49*u - 599. Determine a(-25).
1
Let r(z) = z**3 + 306*z**2 - 270*z + 11390. What is r(-307)?
31
Let x(r) = 11*r - 302. Determine x(51).
259
Let y(v) = -118*v - 3796. Calculate y(-31).
-138
Let t(g) = -12*g**2 - 437*g + 302. Calculate t(-37).
43
Let o(p) = p**3 + 8*p**2 - 125*p - 818. Give o(-6).
4
Let y(m) = -m**3 + 57*m**2 + 109*m + 544. Determine y(59).
13
Let b(x) = -x**2 - 44*x + 13. Calculate b(-45).
-32
Let u(t) = 17*t**3 - 201*t**2 - 29*t - 93. Calculate u(12).
-9
Let p(h) = 2*h**2 - 123*h + 719. Calculate p(55).
4
Let l(y) = 392*y - 6. What is l(0)?
-6
Let i(j) = -j**3 - 51*j + 88. Give i(0).
88
Let b(u) = 66*u + 23. Give b(7).
485
Let p(g) = 302*g + 6343. Give p(-21).
1
Let l(q) = -7*q + 62. Give l(-8).
118
Let s(l) = -16*l**2 - 103*l - 10. Determine s(-7).
-73
Let l(v) = -v**3 + 8*v**2 + v - 28. What is l(5)?
52
Let d(g) = g**2 + 15*g - 26. What is d(-15)?
-26
Let w(p) = 9*p + 32. Determine w(-3).
5
Let h(s) = -252*s + 4572. Determine h(18).
36
Let z(g) = g**2 - 19*g - 79. Give z(-3).
-13
Let i(p) = -2*p**3 + 19*p*
|
{
"pile_set_name": "DM Mathematics"
}
|
ulate 18 + -49 + 11 + 9.
-11
8 - (5 - (4 + (1 - -7)) - 5)
20
57 + -51 + (-14 - -8)
0
What is the value of -9 + -1 - -16 - 32 - (-3 - -2)?
-25
What is the value of -17 + 17 - (-5 + -1)?
6
What is -1381 + 1384 - ((1 - 1) + 2 + 2)?
-1
Evaluate 2 + -4 + -2 + -9 + 6.
-7
Calculate -6 + (7 - 5) - 0.
-4
-354 - -367 - (0 - -10)
3
What is the value of 4 + 23 + -14 + (-12 - -16)?
17
-5 + (-2 + 13 - 4)
2
What is the value of (18 - (42 + -25) - (1 - 5)) + -5?
0
Calculate -15 + 33 - -30 - 30.
18
-12 - -6 - -2 - -3
-1
What is -6 + -4 + (232 - 200)?
22
What is -9 + -5 + 2 - 3 - (-1 + -3)?
-11
What is the value of 7 - (-1 + -8 + 15)?
1
130 + -127 - (0 - (-1 + -4))
-2
Evaluate 5 - (-2 - -1 - (58 - 56)) - -2.
10
What is -16 - ((10 - 20 - (-4 - -4)) + 7)?
-13
Evaluate -12 + -2 - (-7 + (17 - 19)).
-5
What is 145 - 114 - (-1 + 12 + -1)?
21
8 - (-28 + (-8 - -21))
23
Evaluate -6 - (-77 + 82 - (11 - 1)).
-1
-6 - (5 - ((-3 - -3) + 22))
11
Calculate -1 - ((55 - 3) + -16 + -4).
-33
Evaluate -28 + 0 + 2 + (0 - (8 + -17)).
-17
(187 - 186) + -13 + -2
-14
What is (6 - (3 + (-17 - -6) + 3)) + -8?
3
What is the value of 6 + (11 - (3 + 1) - 3)?
10
(-4 - 24) + (10 - (-7 - -18))
-29
Calculate -5 + ((23 - (13 + -6)) + -7 - -23).
27
Calculate 1 + (-1 - 1) + (30 - 21) + -6.
2
Evaluate (-1 - -3) + (13 - (15 - -17) - -42).
25
What is -7 - ((8 - (17 - 0) - 33) + 6)?
29
Evaluate 0 + -12 + 288 + -267 + -22.
-13
Evaluate 16 - (1 - (-2 - (-3 - (-11 + 6)))).
11
What is the value of (9 - 0) + (9 + -20 + 24 - 19)?
3
(2 - -3) + -1 + -10 + 16
10
Evaluate (-8 - -1) + (-52 - -87) + -45.
-17
Evaluate -15 + (-3 - -1) + (14 - (5 + 5)).
-13
What is (-1 - -11) + (166 - 162)?
14
What is -2 + (1 - -2) + -18 + 8 + 8?
-1
Evaluate 3 - (-6 - (-26 - (7 + 1) - 4)).
-29
Evaluate -12 + 3 - (-24 + (18 - -15)).
-18
What is the value of 4 - (3 + (-12 - 0))?
13
0 - -11 - (130 + -103)
-16
7 - (20 + 16 + -29)
0
Evaluate (-11 - (-15 + 6 + -1 - -4)) + 4.
-1
What is the value of -1 + (10 - (-9 + 3)) - 9?
6
What is (-33 - (-29 + -5)) + 6 + 2?
9
What is the value of 14 - (12 - (21 + -11 + -5))?
7
What is (20 - (7 + 2)) + 0?
11
(-7 - -6) + (-1 - -2 - 4) - 7
-11
What is the value of 147 - 146 - (1 - 0 - (2 + -2))?
0
Calculate -22 + 0 - (410 - 444).
12
Evaluate (0 - 4) + (16 - 8) + 19.
23
Evaluate 20 + -10 + (-7 - -8).
11
Evaluate -3 - (12 + 14 - 17).
-12
-19 - (-9 + 2 + -29 + 28)
-11
Evaluate (-61 - -56) + (-1 - (-6 - -4)).
-4
What is the value of 24 + -4 - 0 - 40?
-20
-6 - -5 - ((9 - 7) + -4)
1
What is the value of 73 - 75 - ((0 - -3) + -30)?
25
Calculate (2 - (5 + -14)) + 1 + -1.
11
Calculate -11 + (-12 - (-11 - (1 - -6))).
-5
5 + (10 + -10 - (8 + -1))
-2
What is -12 - (-5 + 7) - (7 - 9)?
-12
What is the value of -26 + (9 - (-13 + 15))?
-19
What is -8 + 15 + 13 - 57 - -8?
-29
(447 - 454) + (1 - 1 - (-20 + -4))
17
Calculate 0 - -6 - (-33 - (-11 - 16)).
12
-172 + 160 + (-1 - -14)
1
Calculate 3 - (1 + 4 - (40 + -36)) - 5.
-3
Calculate -8 + 10 + -3 - -24.
23
Evaluate 69 + -83 - ((-3 - 0) + -41).
30
Calculate -58 + (28 - (11 + -25)).
-16
What is -594 + 618 - (1 - -16)?
7
What is 2 + 2 + (2 - 18) - -4?
-8
What is the value of (-16 - 2 - (-2 - (12 + -14))) + 5?
-13
What is -21 + (-9 - (1 + -10)) + 5?
-16
Calculate (9 - (-7 - 3)) + 6 + (-6 - 0).
19
What is the value of (-4 - ((-8 - -9) + 3 - 0)) + 22?
14
What is the value of -5 + (17 - (9 + -3)) - 2?
4
What is -26 - (-12 + -1 - (24 - 32))?
-21
What is -25 + (1 + -6 - -29)?
-1
Evaluate 4 - (-4 + 2 + (-23 - 2 - -29)).
2
Evaluate -9 - (-9 - (0 + 10)).
10
-5 + (4 - -5) - (4 - -3) - 1
-4
Evaluate 26 + -40 + 38 - 13.
11
(10 - 8) + -9 - (-14 - -2) - 6
-1
Evaluate 24 - 13 - 4 - (3 - -8 - 1).
-3
What is the value of (-1 - 21 - -1) + -21 + 25?
-17
What is the value of (22 - 12) + -5 - (0 + 10 - -1)?
-6
Calculate -7 + -27 + 18 + 21.
5
What is 11 + -17 + -6 + 4 + (-1 - 0)?
-9
Evaluate (8 + 7 - 4 - 4) + -15.
-8
Evaluate 16 + 0 - (-1127 + 1147).
-4
-31 + -1 + 17 + 15
0
-18 - (2 - -4 - (6 + (10 - 11)))
-19
What is the value of -14 + 11 + -27 + 12 + 10 + -2?
-10
1 + -2 + (9 - (1 - (-3 + -8)))
-4
What is 4 - 21 - -41 - 15?
9
What is -20 - (-20 - (-4 - -10))?
6
What is 7 + -2 + (1 - -4 - 8) + -3?
-1
Evaluate 26 + -40 - (-3 - (0 + 0)) - -4.
-7
Calculate -6 + (-39 - -19 - -6).
-20
Evaluate -18 + (8 - 1) + 16.
5
Evaluate (-2 - 5 - -11) + 4.
8
Calculate 19 + -11 + (-37 + 15 - (5 - 1)).
-18
Calculate (-3 - 0) + -4 + 1 + 18 + 1.
13
2 + -6 + (-14 - (-9 + -3)) - 1
-7
What is the value of -1 - -2 - (-1 + 10 - (131 + -140))?
-17
Evaluate -7 + -3 + -1 + -8 + -4 + 3.
-20
-2 - (0 - (12 + -19))
-9
Evaluate (-10 - 3) + 12 + 1.
0
Calculate (13 - 18 - (-2 + 7)) + 21.
11
Evaluate -1 + -4 + 0 - ((-6 - 5) + 8).
-2
Evaluate (-29 - -9) + 20 + (-2 - 0).
-2
What is the value of 7 + -11 + -2 + 2?
-4
Evaluate -301 + 310 + 0 + -4.
5
What is the value of -11 + (-1 + -4 - -13) + -10?
-13
16 - (63 + -30 + 1 + 10)
-28
Evaluate 19 - ((-11 - -5) + 13).
12
Evaluate 2 - (4 + 9) - (-43 - -56).
-24
What is the value of 2 + 2 - (58 + -44)?
-10
(0 - (0 - 4)) + -69 + 25 + 33
-7
Evaluate (17 - 17) + -2 + (1 - (2 + -17)).
14
Evaluate -2 + 2 + 12 + (10 - (-3 + 22)).
3
-1 + ((-1 + -4 - 0) + 4 - 6)
-8
Calculate (-14 - 4 - -8) + 15 - 32.
-27
(-17 - -30) + 2 + -19
-4
Evaluate 49 - (13 + 20 + -9).
25
-10 - 1 - (-32 + 19 + -1)
3
Evaluate -3 + 8 + -18 + -1 + 6.
-8
Evaluate 9 - 12 - (-10 + 14 + -6).
-1
What is the value of 0 + (10 - 18) + 21?
13
What is 10 + (-5 - 2 - -6) - 1?
8
Calculate (26 + -9 - 12 - (-1 + 14)) + 18.
10
-1 - (4 - 7) - (0 + -4)
6
-6 + -13 + (27 - 6)
2
Calculate 0 + -3 + -133 + 149 + (0 - -3).
16
Calculate 6 + -23 + 16 - (-3 + -4).
6
Calculate (14 - -14 - -20) + -56.
-8
Calculate (-10 - -16) + 4 + -11 + -1 + 2.
0
What is -6 + -19 + 8 - (-1 + -2 - 1)?
-13
Evaluate (-14 - 9) + (15 - 1).
-9
What is 17 + -6 - (-13 + 7 - -5)?
12
Calculate -19 + (0 - ((-108 - -114) + 0 + -1)).
-24
Evaluate (-2 - -7) + 3 + 388 + -377.
19
What is (-5 - -1 - (-18 + 25)) + -1?
-12
Calculate (20 - -5 - 20) + (-16 - -1).
-10
What is the value of -9 + (1 - -41) + (520 - 538)?
15
What is -2 + (5 - (-8 + (7 - (-8 + 0))))?
-4
What is the value of 8 - (-23 + (31 - 21))?
21
What is (-1 - (-8 + 13)) + -2 + -8 + -10?
-26
What is the value of -42 + 65 + -25 - 7?
-9
Evaluate (9 - ((3 - 6) + 12)) + (1 - -24).
25
Calculate -53 - (-18 + -2) - (-2 - 13).
-18
Evaluate 10 + -14 - (6 - 11 - -2).
-1
What is the value of 12 + 0 + -1343 + 1314?
-17
What is -5 - (-3 + 27 + -14 + -20)?
5
What is the value of -22 + -5 + -5 + 27?
-5
Evaluate 37 + (-12 + 5 - 28).
2
(1 + -3 - 0) + 2 + 43 + -30
13
Evaluate -5 + -1 + -4 + 11 - -1.
2
37 + -42 + 11 + (-1 - (2 - 2))
5
-769 + 755 + (12 - -1)
-1
What is the value of 8 + 7 + 9 + -3?
21
Evaluate -23 - (26 + -1 + -39).
-9
Calculate (23 - (5 + 15)) + (-2 + 2 - -4).
7
-11 - -8 - 12 - -21
6
What is -24 - (2 + -24) - (-1 - -8) - 14?
-23
1 + 1 + 1 - (-12 + 15)
0
What is the value of -3 + 1 + (-12 - 0) + -8 + 12?
-10
Calculate (-8 - -8 - 20) + (-1 - -11).
-10
What is 17 + 0 - (-7 - -6 - -7)?
11
What is the value of 20 - 14 - (-7 + (-5 - -8))?
10
Calculate (42 - (32 - 12)) + -32.
-10
(38 - 30 - (0 + -21)) + -12
17
Calculate -5 - (-1 + 6 + -8 - (-2 + 5)).
1
6 + (3 - (5 + 0 + (14 - 7)))
-3
What is -2 - (3 + 5 + (-10 - 4))?
4
What is (-28 - (-15 + -20)) + (4 - 1 - -1)?
11
-2 - ((-10 - 3) + -3 + 14)
0
(2 - 14) + -14 + 24 + -20
-22
Evaluate 9 + (7 + -7 - (-3 + (9 - -14))).
-11
What is the value of -5 - -4 - (-110 - -105)?
4
Calculate -5 - 0 - (31 - 39 - -16).
-13
What is the value of 45 - (22 + -29 - (-24 - -5))?
33
What is the value of (4 - 13) + 7 + 9 + 5 + 2?
14
What is (25 - -10) + -19 + -19?
-3
What is (-1 - (-2 - -13)) + 10 + (-30 - -20)?
-12
Calculate (3 + -3 - 5) + (-9 - -22).
8
What is -61 + 75 + (0 - 30)?
-16
What is -28 - (-7 - (28 - -6))?
13
What is the value of 21 + 30 + -48 + (1 - -4 - -1)?
9
What is the value of -15 + 5 + 29 + -20?
-1
Calculate -29 + (-12 - -25) + 10 + -9.
-15
-11 - (-7 - (-29 - -14))
-19
Evaluate 16 - (-7 - (-7 - -10) - (4 + -22)).
8
What is 6 - ((3 - 9) + 17) - -10?
5
What is the value of 9 - (-2 - ((4 - 13) + -15))?
-13
Calculate -26 + (-5 - (0 - 13)).
-18
Evaluate (-6 - (2 - 10)) + -8 + 0 + -6.
-12
Evaluate 0 + 4 - (-5 - (0 + -4 + 6)).
11
Evaluate 21 + -27 + (0 - -5).
-1
-9 - (4 - 23 - -28)
-18
What is (0 - -9) +
|
{
"pile_set_name": "DM Mathematics"
}
|
4
Solve -l - 9*j + 13*j + 19 = 0, -l - 5*j - 35 = 0 for l.
-5
Solve 33 = -5*m - 2*l, 0 = -3*m + 4*l + 8833 - 8832 for m.
-5
Solve -2*b - 76459*v = -76460*v + 3, -3*b + v - 5 = 0 for b.
-2
Solve -69*a = -66*a + 5*p + 1, -5*a + p + 17 = 0 for a.
3
Solve 12 = 4*q - 27*i + 22*i, 3*q + 3*i = -18 for q.
-2
Solve -6*w - 6 = 0, -3*j + 6*w = 11*w + 17 for j.
-4
Solve 4*v + 10530 = j + 10525, 0 = -j + 5 for v.
0
Solve -8 = 2*h - 2*w, 0*w + 5 = -10*h + w - 62 for h.
-7
Solve 5*o - 35 = 3*v, 327*v = 325*v + o - 14 for v.
-5
Solve -147 = -27*a - 4*r + 194 - 226, 5 = -3*a - 4*r for a.
5
Solve -4*p + 47 = -5*a - 7*p, -p = a + 13 for a.
-4
Solve -m + 176*d = -177*d + 350*d + 17, 0 = -5*m - 2*d for m.
-2
Solve -11 + 1 = -5*y, -2 = 4*k - 0*y + y for k.
-1
Solve -2*n = 2, -k + 2 = -5034*n + 5031*n for k.
-1
Solve -2*n - 59 + 61 = 2*h, 0 = -2*n for h.
1
Solve c - 496*p + 3 = -500*p, 4*p = 4*c - 28 for c.
5
Solve 7*l + 6 - 27 = 0, 0 = 9*u - 14*u - 3*l + 9 for u.
0
Solve p - s + 4*s + 9 = 0, -5*p = -3*s + 9 for p.
-3
Solve q = 5*u - 4, -1156*q = 4*u - 1159*q + 10 for u.
2
Solve -23 = -g + 763*f - 765*f, -2*g = 5*f - 56 for g.
3
Solve -5*m - 1205*l = -1206*l + 42, -2*l = -2*m - 20 for m.
-8
Solve 0 = 4*q + 6*u - 18, 5*q - 3*q - 5*u = 1 for q.
3
Solve 3*k - 137 = 5*n, 5*k + 103 = -5*n - 2 for k.
4
Solve z - 5*i = 40, 5*z - 7*i = -6*i + 32 for z.
5
Solve 3*v + g - 14 = 0, -369*v + 5*g = -371*v + 5 for v.
5
Solve -5*y - 24 = -2*u, -28*u - 2*y = -24*u for u.
2
Solve 2*b - 2 = -t, 2*t = 1547*b - 1550*b + 2 for b.
2
Solve -5*f = 5*d + 30, 3*d + 2*f - 40 = -54 for d.
-2
Solve 2*l - 88*w + 93*w = 37, 3*l + 2*w = 6 for l.
-4
Solve -2*c + 4*x + 22 = 0, -511*x = 5*c - 518*x - 43 for c.
3
Solve -w + 4*o = 15, 3*w + 31544 = 2*o + 31549 for w.
5
Solve -x - 1 = 3*r, -5*x + 3*r - 4674 = -4723 for x.
8
Solve 8*m + 4*b + 60 = 0, 3*b + 20 = -7*m + 6*m for m.
-5
Solve 821*u - 818*u = -t + 47, -3*t + 15 = 0 for u.
14
Solve -13*l - 67 = p - 116, 0 = 5*l - 2*p - 26 for l.
4
Solve 0 = -2*w + z - 6, 1308*w - 1313*w - 5*z - 45 = 0 for w.
-5
Solve 16 = 5*g - c, 16 = c + 12 for g.
4
Solve 0 = -4*m + 8, -444*q + 12 = -446*q + 3*m for q.
-3
Solve 5*x + 15*f = 12*f, 4 = 2*x + 2*f for x.
-3
Solve 4*v = -477*u + 480*u + 28, 4*v = -4*u for u.
-4
Solve -80015*w = -4*q - 80013*w + 8, 6*q - 2*w - 14 = 0 for q.
3
Solve 5*s - 5*y + 5 = 0, 4609*y + 11 = s + 4605*y for s.
-5
Solve 3*r + 4*f + 23 = 0, 11*f = 5*r + 9*f + 47 for r.
-9
Solve 3*t + 2*h + 14 = 0, 147 = -4*t - 4*h + 131 for t.
-6
Solve 0 = 5*x + 3*a + 1, 26*a = -2*x + 28*a - 10 for x.
-2
Solve -w = -3*x - 5, 4*w + 64*x - 13 = 69*x for w.
2
Solve -3*x + 54 = -20*q - 85, 2*q + 4*x = 42 for q.
-5
Solve -29 = w - 33, 3*m + 3*w - 27 = 0 for m.
5
Solve 7*t - 3141*r + 3136*r + 21 = 4*t, 0 = 5*t + 4*r - 2 for t.
-2
Solve 115 - 130 = -2*f + 5*r, 3*f - 3*r = 0 for f.
-5
Solve -5*h + 263 = w + 274, 12*h + 52 = 4*w for w.
4
Solve 999*s = 1004*s - 10, -4*a - s = 10 for a.
-3
Solve 0 = t + 4*y + 20, 46*y - 36 = 5*t + 50*y for t.
-4
Solve d + 4*s = -17, 18*d - 3 = 13*d + 2*s for d.
-1
Solve 20 = -2*h + 2*d, -33*h - 110 = -22*h - 3*d - 8 for h.
-9
Solve 4*z + 48 - 45 = u, 2*u = -z + 6 for u.
3
Solve -3*q + 15 = 2*y, 2*y + 2*q = -317 + 327 for y.
0
Solve -u - 246*b = -250*b + 36, -20 = -2*b for u.
4
Solve 6*g + 5*z - 9 = -60, 3*g = 2*z - 12 for g.
-6
Solve 13*f = b + 59, -294*b + 296*b + 5*f = 37 for b.
6
Solve 4*q + 259 = -4*v + 271, 5*v - q = 15 for v.
3
Solve 0 = -h + i + 12, 400*h - 46 = 397*h + 5*i for h.
7
Solve -h + 124129 = 4*o + 124131, -5*h - 10 = 3*o for o.
0
Solve -6*m - 2*l - 4 = 0, 5*m + 24 = 5*l - 6 for m.
-2
Solve 6*l - 8 = 2*l - 10*o, 0 = -6*l + l + 14*o + 10 for l.
2
Solve -6 = -7*m + 3*x + 16, 5*x - 2 = 2*m for m.
4
Solve -3 = i - o, -56*o = 2*i - 60*o + 4 for i.
-4
Solve 5*m - 60 = -4*x, 20*x = 25*x - 2*m - 9 for x.
5
Solve -9*x + 5*d + 36 = 0, 9*d = 6*d for x.
4
Solve 4*j + t = 3, 3*j + 5256*t - 5259*t - 21 = 0 for j.
2
Solve -139*k + 138*k - 4*j = -4, 4*k - 20 = -k + j for k.
4
Solve 710*w - 3*q = 708*w - 10, 2*w - 4*q + 14 = 0 for w.
1
Solve 4*q - 8*q = -3*t, 8 = -2*t for q.
-3
Solve -3 = 3*m + 3149*q - 3152*q, 0 = m - 2*q + 4 for m.
2
Solve 18 = y + 3*w, 30 = 5*y + 162*w - 159*w for y.
3
Solve 5*k - 21 = -2*g, -93*k + 95*k = -g + 9 for k.
3
Solve 5*p = -4*u - 24, -3*u + 179*p = 184*p + 23 for u.
-1
Solve 3*s = -3*r - 36, 77164 = -3*s + 2*r + 77138 for s.
-10
Solve -2245*v + 2251*v - 2*d - 34 = 0, 20 = -4*d for v.
4
Solve -55*d - 16 = 2*f - 58*d, 0 = 2*d - 8 for f.
-2
Solve -3*q - 2*z - 1201 = 8*z - 1138, 3*q - z - 3 = 0 for q.
-1
Solve -98*j - 44 = -m - 102*j, 4*j - 40 = 0 for m.
4
Solve 2*w + 1479*x = 1488*x - 34, -12 = -3*x for w.
1
Solve -3*q = 3*f - 12, -2*q + 6 = -337*f + 338*f for q.
2
Solve -63 = -3*z + 9*r, -166*r = 3*z - 169*r - 63 for z.
21
Solve -g - 36*m + 34*m = -8, -14*g + 25 = -m for g.
2
Solve 125*o - 120*o = 4*f + 39, -o + 27 = -4*f for f.
-6
Solve -2*z - b = 3, 6*b - 134 = -6*z - 164 for z.
2
Solve 5*u - 3*j + 1883 = 1888, 4*u + 2*j + 18 = 0 for u.
-2
Solve g = 62*r - 53*r - 44, 10 = 5*g + r for g.
1
Solve -5*m - 5 = 3*g, 3*g + 30747 = -m + 30758 for m.
-4
Solve 0 = -3*h + 6700*y - 6699*y - 20, 0 = -5*h + 4*y - 24 for h.
-8
Solve -2*z - 4*r - 6 = 6, 5*z - 6*r - 681 + 695 = 0 for z.
-4
Solve -t - 67*h = -66*h - 2, -3*t = -h + 2 for t.
0
Solve -4*h = -z + 25, 7712*z = 7714*z + 5*h + 15 for z.
5
Solve 0 = 5*m + j - 9, -4741*j = 3*m - 4746*j + 17 for m.
1
Solve -66 + 65 = i - 3*t, -3*i - 10 = -2*t for i.
-4
Solve -3*f + 18 = -3*m, 11*f - m = 15*f - 14 for f.
4
Solve -149*d - 151*d - 22 = 4*u - 302*d, 0 = -2*d + 26 for u.
1
Solve 0 = -4*y + 28, 1318 = -3*a + 5*y + 1277 for a.
-2
Solve -2*b = -25*w + 34*w - 39, -2*b = 3*w - 21 for b.
6
Solve 5*o + x - 2 = 0, 2833 = 3*o - 4*x + 2841 for o.
0
Solve 0 = 5*v + 4*a + 16, 5*a + 206 = -5*v + 186 for v.
0
Solve -6*f = 3*p - 21, 85*p = -f + 83*p + 5 for f.
3
Solve 3*f + 107 - 137 = -3*v, 48 = 6*v + 3*f for v.
6
Solve -5*x + 15 = 5*f, -54*f + 9 = -53*f - 2*x for f.
5
Solve -w + 2*c + 1 = 0, 2*w + 12 + 4 = -5*c for w.
-3
Solve 7422*s - 18 = 7425*s - 4*a, 0 = -2*s - a - 1 for s.
-2
Solve -2*q + 916 = n + 918, -4*q - n = 4 for q.
-1
Solve -6*l - 5*q + 1097 = 949, -2*q - 19 = -l for l.
23
Solve -3*b - 5*j = 17, -5*b + 7*j - 85 = 4*j for b.
-14
Solve 3*b = 2*r + 44, -33976*b + 3*r + 36 = -33974*b for b.
12
Solve -3*t = 2*b + 19, -12*t - 18*b - 21 = -21*b for t.
-3
Solve 13*b + 15*b = -4*s + 8, 25*b - 23*b - 12 = 2*s for s.
-5
Solve -g = 4*j + 13, 2*g + 0*j + 10 = -4*j for g.
3
Solve 0 = y + 5*h - 9, 5 = 5*y - 3*h + 44 for y.
-6
Solve -14*d + 7*d - 20 = 5*u, 8*d + 2*u - 5*u = 12 for d.
0
Solve 23 - 22 = -q + 5*n, 4*q - n - 15 = 0 for q.
4
Solve -2*t + 2*a = t + 27, -2*t + 3 = a for t.
-3
Solve 0 = 57*o + 2*v - 806, 22*v - 24*v = -4*o + 48 for o.
14
Solve -2*k + 4 = -4*c, 4*c - 1 + 9 = 3*k for c.
1
Solve 2*w - j + 9 = 0, -2*j - 38 + 16 = 4*w for w.
-5
Solve 24 = u + 4*o, 0 = -11*u + 3*o + 107 - 78 for u.
4
Solve 2*p = 2*j + 4, -5*p = -280*j + 278*j - 7 for j.
-1
Solve c + 121 = -4*m, -3*m - 5*c + 1548 - 1660 = 0 for m.
-29
Solve -2*u - 52 = 5*b, 0 = -3*u + 12*b + 209 - 53 for u.
4
Solve -10*w = -7*w + 15, -4*n = w - 6*w - 29 for n.
1
Solve -20*p = 5*q - 70, 5*p + 5*q + 343 = 368 for p.
3
Solve 2*l + 581 = b + 588, l + 7 = -3*b for b.
-3
Solve 249*p - 245*p - 5*d = 58, -d - 2 = -4*p for p.
-3
Solve -5*u + 3*m + 5 = 0, 3*m = 364*u - 365*u - 17 for u.
-2
Solve -31*x - 3*c - 173 = 0, -33 = 3*x + 4214*c - 4211*c for x.
-5
Solve n = -h - 4, 106 = n - 4*h + 85 for n.
1
Solve 3*a - 2*g = 8, -2*g = 4*a + 57 - 49 for a.
0
Solve -12*f = p - 9*f, p - 113 + 117 = -2*f for p.
-12
Solve -4*a + 2*v + 10 = 0, 1267*a - 1264*a - v = 9 for a.
4
Solve -4*k - 26 = -5*j, 0 = 228*k - 227*k - 6*j + 16 for k.
-4
Solve -80 = 5*z - 5*s, -1120*z + 1125*z + s + 68 = 0 for z.
-14
Solve 2 = 3*n + 2*w, 2*n - 5278*w - 13 = -5281*w for n.
-4
Solve -4*k + 5*y - 8 - 53 = 0, 5*k + 11 = -y for k.
-4
Solve p + 6 = 4*l, -5*p + 41*l - 9 = 42*l for p.
-2
Solve -2*j + 16 = q, 0 = 5*j - 21874*q + 21875*q - 19 for j.
1
Solve 5*d = -g - 19, -60*g - 5*d - 28 = -58*g for g.
-9
Solve 5*w = -22*g + 27*g, -3*w + 4 = -w - g for w.
4
Solve 3*v + 2*u = -25179 + 25230, -2*v + u = -27 for v.
15
Solve -5*m = -5*b + 35, -1079*b - 5*m = -1078*b +
|
{
"pile_set_name": "DM Mathematics"
}
|
6*x**3 - 28*x**3 + 1092*x = 0. Calculate x.
-3, 47
Suppose 118*t**3 + 59*t**3 - 22269*t**2 - 22147*t**2 - 174*t - 3*t**5 + 44587*t**2 - 171*t**4 = 0. What is t?
-58, -1, 0, 1
Let p(s) be the second derivative of 0*s**2 + 1/45*s**6 - 1/60*s**5 - 1/18*s**4 + 0 + 1/12*s**3 + 21*s - 1/252*s**7. Suppose p(h) = 0. What is h?
-1, 0, 1, 3
Factor -10*z**2 + 11/4*z + 0.
-z*(40*z - 11)/4
Let w(q) = q**3 + 15*q**2 + 25*q - 15. Let o be w(-11). Let a = -194 + o. Find t, given that a - 6/5*t - 8/5*t**2 - 2/5*t**3 = 0.
-3, -1, 0
Let j be (-7260)/(-3465) - ((-492)/126 + -1 + 5). Factor -8/3 - 22/3*l**j - 16*l.
-2*(l + 2)*(11*l + 2)/3
Let x(t) be the first derivative of 1/14*t**4 - 8/7*t**2 - 2/21*t**3 + 24/7*t - 47. Let x(f) = 0. What is f?
-3, 2
Let z(f) be the third derivative of -f**6/900 - f**5/225 + 19*f**4/180 + 4*f**3/9 - 7*f**2 - 479*f. Factor z(x).
-2*(x - 4)*(x + 1)*(x + 5)/15
Let t(g) be the first derivative of -28*g**5/5 + 185*g**4 - 1424*g**3 - 4088*g**2 - 3136*g - 265. Let t(f) = 0. Calculate f.
-1, -4/7, 14
Suppose -3*t = t + 2*b - 470, 2*b = -t + 113. Let n = -49 + t. Factor 3*d**3 - 38*d - 36*d**2 + 76*d + n*d.
3*d*(d - 6)**2
Let q(h) be the first derivative of -h**4/78 - 5*h**3/39 - 136*h + 119. Let n(t) be the first derivative of q(t). Suppose n(c) = 0. What is c?
-5, 0
Let w(j) = 2*j**3 + 60*j**2 + j - 39. Let t(f) = 5*f**3 + 178*f**2 + 3*f - 122. Let h(v) = -3*t(v) + 8*w(v). Factor h(b).
(b - 54)*(b - 1)*(b + 1)
Let m(a) = 14*a + 72. Let g be m(-5). Let q be 165 + g + 1 + -7 - 1. Solve 3335/2*t**3 + q*t + 845/2*t**5 - 2795/2*t**4 - 1685/2*t**2 - 10 = 0.
2/13, 1
Suppose -t = -11*t. Suppose b + 2*b + 2*q - 58 = t, -2*q - 50 = -3*b. Let -b*s**2 - 24 - 19*s**3 + 22*s**3 - 60*s + 24*s**3 = 0. Calculate s.
-2/3, 2
Let t(h) be the third derivative of -h**6/180 + h**5/6 - 3*h**4/4 - h**3/2 - 37*h**2. Let q(y) be the first derivative of t(y). Factor q(b).
-2*(b - 9)*(b - 1)
Let w = -211 + 2533/12. Let u(a) be the second derivative of 0 + w*a**3 - 1/32*a**4 - 4*a + 1/4*a**2 + 1/240*a**6 - 1/80*a**5. Factor u(j).
(j - 2)**2*(j + 1)**2/8
Factor 1080/7*k - 96 + 138/7*k**3 - 612/7*k**2 - 9/7*k**4.
-3*(k - 2)**3*(3*k - 28)/7
Let b(r) be the third derivative of -5/48*r**4 + 1/60*r**5 + 0*r + 26 + 2*r**2 + 1/6*r**3. Factor b(l).
(l - 2)*(2*l - 1)/2
Let g be -13*(-24)/780*(-150)/(-120). Let 7/4*m - 1/4*m**5 + 2*m**2 - 1/2*m**4 + 1/2 + g*m**3 = 0. Calculate m.
-1, 2
Let 0 - 11*v**2 + 38/5*v - 3/5*v**3 = 0. What is v?
-19, 0, 2/3
Suppose 0 = -732*q + 164*q + 1704. Factor -1/2*f**q + 2*f**2 + 5/2*f + 0.
-f*(f - 5)*(f + 1)/2
Suppose -5*d = 2*o - 177, 2*o = 4*d - 2*o - 164. Let s = d - 33. Factor 5*g**s - 3*g**2 + 10*g**3 - 2*g**2 - 27*g + 17*g.
5*g*(g - 1)*(g + 1)*(g + 2)
Let l(z) = 23*z**4 - 2907 + 2*z**2 + 2909 + 3*z**4 - 2*z - 6*z**5. Let g(u) = -7*u**5 + 25*u**4 + 3*u**2 - 3*u + 3. Let s(j) = 2*g(j) - 3*l(j). Factor s(h).
4*h**4*(h - 7)
Suppose -1887 = 246*y - 2379. Factor 30*k - 235/3*k**y + 0 + 25/3*k**3.
5*k*(k - 9)*(5*k - 2)/3
Factor -2/23*k**2 - 20/23*k - 18/23.
-2*(k + 1)*(k + 9)/23
Factor -1/2*w**2 + 532 + 1063/2*w.
-(w - 1064)*(w + 1)/2
Factor -109*a**2 - 750*a - 44*a**3 - 10*a**2 + 614*a**2 - 10*a**3 - 3*a**4.
-3*a*(a - 5)*(a - 2)*(a + 25)
Let f(l) be the first derivative of -l**4/4 + 2*l**3/3 + 64*l - 97. Let g(x) be the first derivative of f(x). Solve g(i) = 0.
0, 4/3
Let f(s) be the second derivative of -1/2*s**5 + 20/3*s**3 + 1/3*s**4 + s + 1/15*s**6 - 22 - 24*s**2. Solve f(l) = 0.
-2, 2, 3
Let y(i) be the second derivative of 2 - i**3 + 18*i - 1/2*i**4 - 1/10*i**5 - i**2. Factor y(o).
-2*(o + 1)**3
Suppose -5*l**5 + 758*l**2 - 393*l**2 - 30*l**4 - 395*l**2 - 55*l**3 = 0. Calculate l.
-3, -2, -1, 0
Let z(c) be the second derivative of -16*c**3 + 44*c - 1/90*c**5 + 2/3*c**4 + 192*c**2 + 0. Solve z(b) = 0.
12
Suppose 0*s - 568135 + 568009 + 3*s**2 + 3*s = 0. Calculate s.
-7, 6
Let f(k) = -21*k**3 - 39*k**2 + 60*k - 9. Let r(c) be the second derivative of -c**5/10 + c**4/6 - c**2/2 + 2*c + 7. Let j(o) = -f(o) + 9*r(o). Factor j(d).
3*d*(d - 1)*(d + 20)
Suppose 2*z + b = 1, -z = -b + 2*b + 1. Let 4*j**4 + 20*j + 33*j + 100 + 50*j + 57*j + 24*j**z - 32*j**3 = 0. What is j?
-1, 5
Suppose -25*x + 540 = -335. Suppose v - 4*w - 21 = -2*v, 0 = -5*v - w + x. Factor v*k + 1/3*k**3 - 6 - 8/3*k**2.
(k - 3)**2*(k - 2)/3
Let b(z) be the third derivative of 0*z - 43*z**2 + 1/45*z**5 + 1/540*z**6 + 0 + 5/108*z**4 + 0*z**3. Factor b(t).
2*t*(t + 1)*(t + 5)/9
Suppose -2*u - 2*g = -8, -2*g + 7*g - 14 = -3*u. Suppose -u*a = -8 - 1. Find d, given that -d + 2*d**a + 2 + 2*d**2 - 2 - d - 2*d**4 = 0.
-1, 0, 1
Let h = -145 - -153. Factor -8*g - 860*g**3 + g**4 + h - 14*g + 21*g**2 + 852*g**3.
(g - 4)*(g - 2)*(g - 1)**2
What is w in 12*w**4 - 162*w**2 - 243 - 316*w**5 + 405*w + 9*w**4 - 44*w**3 + 26*w**3 + 313*w**5 = 0?
-3, 1, 3
Let i(f) be the second derivative of f**4 - 35*f**3/3 - 19*f**2 - 779*f + 2. Factor i(g).
2*(2*g + 1)*(3*g - 19)
Let h be (4 + -51 - 0)/1. Let q = h + 51. Suppose -3*j**q - 9*j**4 - 75*j**3 - 15*j + 10 - 80*j**2 - 8*j**4 = 0. What is j?
-2, -1, 1/4
Let v(p) be the third derivative of -p**5/120 + 3*p**4/4 - 80*p**3/3 + 27*p**2 + 14. Factor v(g).
-(g - 20)*(g - 16)/2
Factor -83*k - 94*k**3 - 110*k**2 - 2*k**5 - 35*k**4 - 3*k**5 + 18*k - 491 + 476 + 4*k**3.
-5*(k + 1)**4*(k + 3)
Let t(a) be the first derivative of -a**4/18 - 116*a**3/27 + 61*a**2/9 + 236*a/9 - 10270. Solve t(z) = 0 for z.
-59, -1, 2
Let y be 2 + 1*6*(-8)/24. Let v be 3 + 2 + (y - (-16)/(-4)). Factor v + 18*f**4 - 45*f**3 + 33*f**2 - 29/3*f.
(2*f - 3)*(3*f - 1)**3/3
Let m(n) be the first derivative of 0*n + 136 + 23/2*n**2 + 1/3*n**3. Solve m(r) = 0.
-23, 0
Let h = 217 - 206. Factor -61*l**3 + 13*l**4 - 2*l**4 - 160 + 6*l**3 + 9*l - 6*l**4 + h*l + 120*l**2.
5*(l - 8)*(l - 2)**2*(l + 1)
Let y(a) be the first derivative of 3*a**4/16 - 57*a**3/4 + 1155*a**2/4 + 1465. Factor y(d).
3*d*(d - 35)*(d - 22)/4
Let l be (-1)/(13/(-2) - 0). Let b = -139729 - -139732. Suppose -10/13*o**2 + l*o**b - 8/13 + 16/13*o = 0. What is o?
1, 2
Let p = -317098/193 + 1643. Let t = p + 2697/965. Solve -6*o + 18/5 + t*o**2 - 2/5*o**3 = 0.
1, 3
Let y(o) = o**2 + 12*o + 2. Let d be y(-12). Suppose -24*s - 13*s**2 + 30*s**d - 13*s**2 = 0. Calculate s.
0, 6
Let o(p) = 3*p - 47. Let y be o(15). Let d be (-75)/(-40) - y/16. Determine b so that -6 - 9*b + 0*b**3 + 21*b - 4*b**d + 10 - 12*b**3 = 0.
-1, -1/3, 1
Let d(a) be the first derivative of -a**4/28 - 34*a**3/21 + 71*a**2/14 - 36*a/7 + 583. Let d(c) = 0. Calculate c.
-36, 1
Let k(v) = 430*v**2 + 61265*v + 235. Let z(p) = -11*p**2 - 1571*p - 6. Let h(t) = 6*k(t) + 235*z(t). Factor h(q).
-5*q*(q + 319)
Let n be (224/12)/7 + (-2)/(-6). Let g = 28 + -19. Solve -6*w**3 - 12*w**2 - 6*w**3 + 0*w**4 + g*w**4 + 0*w**n = 0.
-2/3, 0, 2
Let o(v) be the first derivative of -v**4 + 508*v**3/3 - 8432*v**2 + 46128*v + 2362. Suppose o(j) = 0. What is j?
3, 62
Suppose 2 = p + 2*k - 98, -3*p - k = -295. Let a = 100 - p. Factor -d**3 + 4*d - 5 + 3*d**2 + 3 + a.
-d*(d - 4)*(d + 1)
Let v(h) be the first derivative of -h**4/66 + 7*h**3/33 + 18*h**2/11 - 118*h + 52. Let g(k) be the first derivative of v(k). Factor g(a).
-2*(a - 9)*(a + 2)/11
Suppose 4*n + 24 = -o, -2*n + 4 = 8. Let i be (-105 - -109)*(-6)/o. Determine j so that -3*j + 3/2*j**2 + i = 0.
1
Let u(v) be the third derivative of -v**6/24 + 7*v**5/12 - 35*v**4/24 - 25*v**3/2 + 1982*v**2. Solve u(k) = 0 for k.
-1, 3, 5
Let b = -124232 + 124430. Factor 12*z + 2/11*z**2 + b.
2*(z + 33)**2/11
Suppose -5*i + 4*c + 18 = 0, -27*i + c + 6 = -25*i. Let -22*x**3 - 6*x**4 + 7*x**4 - 22*x - 4*x**3 - 38*x**i - 3*x**4 - 4 - 4*x**4 = 0. What is x?
-2, -1, -1/3
Let y(l) be the first derivative of -2*l**5/25 - 11*l**4/5 - 64*l**3/5 - 3865. Factor y(t).
-2*t**2*(t + 6)*(t + 16)/5
Let w be -5 + 5 + -1 + 54/5712. Let d = 16/119 - w. Solve 9/8*g**2 - 3/8*g - d*g**3 + 3/8*g**4 + 0 = 0.
0, 1
Let g(k) be the third derivative of k**5/480 - 301*k**4/48 + 2*k**2 + 556*k. Let g(i) = 0. Calculate i.
0, 1204
Let c(d) be the second derivative of 28 - 2/15*d**4 + 1/105*d**7 - 3/25*d**5 - 6/5*d**2 - 3*d + 13/15*d**3 + 2/75*d**6. Factor c(i).
2*(i - 1)**3*(i + 2)*(i + 3)/5
Let u = -712 - -2865/4. Let k(v) be the second derivative of 0 - 27/10*v**5 + 18*v
|
{
"pile_set_name": "DM Mathematics"
}
|
k. Suppose -z - 4*z - 125 = -5*o, 3*o = 5*z + 125. Let g = z + 43. Calculate the remainder when k is divided by g.
16
Let d = 9 - 5. Suppose -5*o = -5*h + 85, d*o + 0*o + 84 = 5*h. What is the remainder when h is divided by 9?
7
Suppose -3*h = 2*h + 75. What is the remainder when 114/h*(-15)/6 is divided by 7?
5
Suppose 4*q = 18 + 2. Let x = 4 + -3. Let c(w) = 13*w**3 + w**2 - 1. Calculate the remainder when c(x) is divided by q.
3
Let z = 30 - -74. What is the remainder when z is divided by 37?
30
Let z be (8 - 5)*(-4)/3. Let d(o) = -4*o - 2. Suppose 0*r + 2*r - 80 = 4*v, 40 = r + 3*v. Calculate the remainder when r is divided by d(z).
12
Suppose -2*i = 3*d - 34, d - 1 = 4*i + 29. Let s = 9 - 5. What is the remainder when d is divided by s?
2
Let y(t) = -t**3 + 14*t**2 + 19*t + 8. What is the remainder when y(15) is divided by 10?
8
What is the remainder when 34 is divided by (7/6)/(5/30)?
6
Suppose -4*z + 3*c = 9 + 24, 3*z + 46 = -2*c. Suppose 21 = 6*p - 111. Let y = p + z. Calculate the remainder when 17 is divided by y.
7
Let l = 33 - 20. What is the remainder when l is divided by 8?
5
Suppose -6*j = -161 - 7. Suppose 3*h + 4*t = 2*t + 337, -5*t + 10 = 0. Calculate the remainder when h is divided by j.
27
Let r(n) = n**2 + n + 2. Let b(p) = p**2 - 11*p - 9. Let d be b(12). What is the remainder when r(d) is divided by ((-16)/10)/(2/(-10))?
6
Suppose 2*h = 5*h - 15. Suppose -5*j = 5*s - 35, s + h*j + 4 + 9 = 0. Let x = 15 - 10. Calculate the remainder when s is divided by x.
2
Let m = 9 + -5. What is the remainder when 15 is divided by m?
3
What is the remainder when (0 - -1)/((-12)/(-324)) is divided by 8?
3
Let w = -17 + 21. What is the remainder when 13 is divided by w?
1
Suppose 3*d = 5*o + 2*d - 1193, -5*d + 699 = 3*o. What is the remainder when o is divided by 30?
28
Suppose -j = -4*j + 63. Calculate the remainder when 4/(-3 - 1) + 41 is divided by j.
19
Let h be 4/(-22) + (-48)/(-22). Suppose h*a = -5*p - 88 - 73, -3*p - 2*a = 95. What is the remainder when 4*p/(-6) - 0 is divided by 8?
6
Let b = -18 - -42. What is the remainder when b is divided by (-2)/(-4)*2*9?
6
Let q = 16 - 1. Suppose -32 = -5*n - 162. Calculate the remainder when q is divided by ((-8)/3)/(n/39).
3
Let l(t) = 3*t - 12. Let j be l(12). What is the remainder when 9 is divided by (j/14)/((-2)/(-7))?
3
Let d(z) = z**3 - 5*z**2 - 7*z + 6. Let j be d(6). Suppose -18 = -j*x - 5*x - 4*n, -4*n + 12 = 4*x. What is the remainder when 21 is divided by x?
3
Suppose 2*l - 2*r - 21 = 61, -r = 5*l - 211. Suppose -a - l = -4*a. What is the remainder when 27 is divided by a?
13
Let t be -1 - -2 - (1 + 12). Let s = t + 14. Calculate the remainder when 8 is divided by s.
0
Let s be 1 - -94*(-3)/(-6). Suppose 3*w = 2*r + 15 - 42, -5*r + w = -s. Calculate the remainder when r is divided by 6.
3
Let p(r) = 9*r**3 - 3*r**2 - 6*r + 2. Let b(g) = 8*g**3 - 2*g**2 - 6*g + 2. Let m(x) = -4*b(x) + 3*p(x). Calculate the remainder when m(-3) is divided by 27.
25
Let l(r) = r + 9. Let q be l(-7). Suppose -q*z + 2*t - 3*t + 7 = 0, 0 = 3*t - 3. Calculate the remainder when z is divided by 1.
0
Let u(p) be the first derivative of -p**4/4 + 5*p**3/3 + 9*p**2/2 - 9*p - 1. Calculate the remainder when u(6) is divided by 6*(0 - (0 - 1)).
3
Let r(w) = -w + 1. Let z be r(-3). Calculate the remainder when 3/(z*3/12) is divided by ((-5)/10)/((-1)/2).
0
Suppose 0 = -5*b + 164 - 39. Let o = b - 16. Calculate the remainder when 35 is divided by o.
8
Suppose 2*d + 143 = 3*x, 3*x = -x + 4*d + 188. What is the remainder when 194 is divided by x?
47
Suppose 3*c = -5 + 53. Let h = -8 + c. Calculate the remainder when 22 is divided by h.
6
Let t(l) be the second derivative of -l**5/20 + 2*l**4/3 - 7*l**3/6 + 7*l**2/2 + 5*l. Suppose 3*v - 39 + 3 = 0. What is the remainder when v is divided by t(7)?
5
Let x = 40 - 24. Let d = x + -3. What is the remainder when 51 is divided by d?
12
Suppose 0*w = -4*w. Suppose o + w*o - d - 17 = 0, -80 = -5*o + 4*d. Calculate the remainder when 59 is divided by o.
11
Calculate the remainder when 9 is divided by 2*(3 + 3 - 3).
3
Suppose 67*d + 44 = 71*d. Calculate the remainder when 41 is divided by d.
8
Let v = 20 - 9. What is the remainder when 20 is divided by v?
9
Let l = 59 - 50. What is the remainder when 19 is divided by l?
1
Let b = 2 + 1. Suppose 4*l - 5*k - 8 = 3*l, l - 4 = b*k. What is the remainder when 2*(-3)/12*l is divided by 1?
0
Suppose 1 + 47 = i. Calculate the remainder when i is divided by 19.
10
Suppose 2*g - 41 = m, -3*m - 25 = -g + 2*m. What is the remainder when 79 is divided by g?
19
Let z be 45/(-15)*(-2 + 1). Suppose -2*j + 0*j = z*i - 19, 10 = 5*j. Calculate the remainder when i is divided by 2.
1
Suppose 4*t + 5 = -t + 3*r, -25 = -5*r. Calculate the remainder when 5 is divided by t.
1
Let p = -31 + 36. What is the remainder when 6 is divided by p?
1
Let n = 28 - 17. Let b = n + 1. What is the remainder when 23 is divided by b?
11
Suppose 375 = t + 4*t. Calculate the remainder when t is divided by 26.
23
Let q = 18 + 6. Let u(g) = -g**3 + 8*g**2 - g + 10. Let f be u(8). Calculate the remainder when q is divided by f*13*(-1)/(-2).
11
Let n be 51 + -3*(2 + -3). Suppose -5*y = n - 184. Calculate the remainder when y is divided by 15.
11
Suppose -4 = z - 2. What is the remainder when 49 is divided by (-2)/z - -2*8?
15
Let d(k) = -2*k**2 + 6*k - 1. Let z be d(4). Let x(g) = 3*g + 1. Let n be x(5). Let a = z + n. Calculate the remainder when 12 is divided by a.
5
Let n(g) = 40*g + 60. Let d(p) = 8*p + 12. Let b(q) = 14*d(q) - 3*n(q). What is the remainder when b(-6) is divided by 13?
10
Let q = 75 + -8. Calculate the remainder when q is divided by 34.
33
Let t(n) = -n - 5. Suppose 0 = l - 1 - 4. Let s(b) = b**2 + b - 7. What is the remainder when s(l) is divided by t(-18)?
10
Suppose k = 5*v + 32, -4*k + 9*k = 3*v + 50. What is the remainder when 40 is divided by k?
5
Let y(b) = -b**2 + b + 8. Calculate the remainder when (-1)/(2/(-30)) - 6/6 is divided by y(0).
6
Let v(f) = -39*f - 1. Suppose 0*d - d = 34. Let s = -21 - d. What is the remainder when v(-1) is divided by s?
12
Let y(o) = -5*o - 31. Calculate the remainder when 25 is divided by y(-8).
7
Suppose 3 = 5*v + w - 7, 4*w - 6 = -3*v. Suppose -z + 4 = -2*z + 5*u, 2*u - 1 = z. Suppose 3*i - z = v. Calculate the remainder when i is divided by 1.
0
Let r(v) = 5*v**2 - 10*v + 21. What is the remainder when r(5) is divided by 27?
15
What is the remainder when (-1 + -1)/((-1)/17) is divided by 18?
16
Let c(d) = -d**2 + d + 78. Calculate the remainder when c(0) is divided by 20.
18
What is the remainder when ((-452)/(-6))/((-6)/(-9)) is divided by 29?
26
Let x(b) = -13*b**3 + 2*b**2 + b. Let p = 32 + 22. Suppose 0 = v - 4*t - 10, 3*v = -2*t + p + 32. What is the remainder when v is divided by x(-1)?
12
Suppose -10*h = -482 - 348. Calculate the remainder when h is divided by 21.
20
Suppose -4 = 2*j + 8. What is the remainder when (216/(-30))/(j/20) is divided by 7?
3
Let y(m) = -m**3 + 9*m**2 - 5*m + 6. What is the remainder when y(8) is divided by 17?
13
Suppose -5*k = -4*p - 17, 3*p - 6*k = -k - 19. Suppose -p*a = -20 - 2. Calculate the remainder when a is divided by 3*(-2 + 5 + -1).
5
Let c = 1 + 4. Let s be 4/(-4) + (-8)/(-2). Suppose s*r - 5*j = 178, 4*r + r = c*j + 280. What is the remainder when r is divided by 26?
25
Let h(g) = 10*g - 9. What is the remainder when h(5) is divided by 12?
5
Suppose -12*f - 66 = -246. Suppose 5*x - 3*x = 16. Calculate the remainder when f is divided by x.
7
Suppose 6*f + 4*j - 50 = 4*f, -2*f + 51 = 3*j. Calculate the remainder when f is divided by 14.
13
Suppose 5 = -r + 2*r + 2*k, 3*r - 12 = -3*k. Suppose -m + 244 = r*m. Let x(z) = -2*z**3 - 5*z**2 - 4*z. What is the remainder when m is divided by x(-3)?
19
Suppose 4*t = 2*t + 10. Suppose u - 2*a - 9 = 0, 3*a - t*a = 3*u - 43. Let z(k) = -k**2 + 6*k + 5. What is the remainder when u is divided by z(6)?
3
Suppose -2 = -4*g + 6. What is the remainder when (0 + 2)/(2/3) is divided by g?
1
Let k(p) = p**3 + 2*p + 1. Let o(f) = 6*f**3 - f**2 + 9*f + 4. Let l(v) = 11*k(v) - 2*o(v). Let j = 2 - 4. Calculate the remainder when 21 is divided by l(j).
10
Let t(v) = v**3 + v**2 + 10. Let u be t(0). Let l be (-2)/(-5) + (-4)/u. Le
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{
"pile_set_name": "DM Mathematics"
}
|
uence wd when two letters picked without replacement from {i: 1, d: 3, w: 1}?
3/20
Three letters picked without replacement from jjfiiifixffxixffiij. Give prob of sequence fif.
35/969
What is prob of sequence bbk when three letters picked without replacement from bkkkkbkbkkkbkkbbbbb?
40/323
Calculate prob of sequence pr when two letters picked without replacement from {h: 5, p: 3, r: 1}.
1/24
Two letters picked without replacement from {d: 3, g: 1, w: 5}. What is prob of sequence dw?
5/24
Two letters picked without replacement from {u: 1, t: 3, g: 2, q: 3, h: 4, k: 3}. Give prob of sequence ku.
1/80
Three letters picked without replacement from {z: 2, c: 3}. What is prob of sequence zcz?
1/10
What is prob of sequence os when two letters picked without replacement from {s: 1, l: 1, o: 3, b: 1, e: 1}?
1/14
Four letters picked without replacement from {g: 2, a: 2, e: 1, j: 3, m: 1, w: 3}. Give prob of sequence emag.
1/2970
Calculate prob of sequence eet when three letters picked without replacement from {t: 4, e: 3}.
4/35
Calculate prob of sequence ut when two letters picked without replacement from dutudtttul.
2/15
What is prob of sequence zaw when three letters picked without replacement from {w: 1, d: 1, y: 2, a: 1, z: 2}?
1/105
Calculate prob of sequence egg when three letters picked without replacement from {l: 2, e: 6, f: 3, g: 2}.
1/143
Four letters picked without replacement from ehheqhhebee. What is prob of sequence qheb?
1/396
Three letters picked without replacement from fzsszgsoowgoooozszso. What is prob of sequence zgw?
1/855
What is prob of sequence wwwj when four letters picked without replacement from {j: 2, w: 3}?
1/10
What is prob of sequence aar when three letters picked without replacement from aarrrraraaaaa?
70/429
Four letters picked without replacement from vjvjjkvvvjjwkjkj. Give prob of sequence vvvj.
1/104
What is prob of sequence iw when two letters picked without replacement from {w: 7, i: 9}?
21/80
What is prob of sequence tt when two letters picked without replacement from {t: 1, b: 4, m: 3, x: 2}?
0
What is prob of sequence lltl when four letters picked without replacement from {l: 3, t: 2}?
1/10
What is prob of sequence ehde when four letters picked without replacement from dkeffkedefhdeew?
1/546
What is prob of sequence wwww when four letters picked without replacement from wwwwwww?
1
Three letters picked without replacement from yyyyeeey. Give prob of sequence yyy.
5/28
Calculate prob of sequence iiii when four letters picked without replacement from {i: 5}.
1
Three letters picked without replacement from {d: 3, a: 11}. Give prob of sequence aad.
55/364
What is prob of sequence ek when two letters picked without replacement from yryeyeykeeyyyeyyee?
7/306
Calculate prob of sequence srs when three letters picked without replacement from rss.
1/3
Three letters picked without replacement from bvbvcbcvcvbb. Give prob of sequence ccb.
1/44
Four letters picked without replacement from edppodprrorebeorrbb. Give prob of sequence brrr.
5/2584
Two letters picked without replacement from wiwiiiywcidcdiw. Give prob of sequence dw.
4/105
What is prob of sequence ff when two letters picked without replacement from {f: 2, c: 1}?
1/3
Two letters picked without replacement from {y: 4, i: 2, p: 2}. Give prob of sequence pp.
1/28
Four letters picked without replacement from hhyoyhoyohyy. Give prob of sequence yohh.
1/66
What is prob of sequence aah when three letters picked without replacement from {a: 9, h: 3}?
9/55
Calculate prob of sequence jzl when three letters picked without replacement from zzzzzzzllllllzjzzlzl.
11/855
Two letters picked without replacement from dtrtotkkrkkkkdc. What is prob of sequence ko?
1/35
Four letters picked without replacement from kwynnnkmmnyknwn. What is prob of sequence kkwy?
1/1365
Calculate prob of sequence aww when three letters picked without replacement from {w: 5, v: 5, a: 7, p: 2}.
70/2907
What is prob of sequence iiii when four letters picked without replacement from {i: 5}?
1
Two letters picked without replacement from {a: 1, e: 1, u: 2, g: 2, q: 1}. Give prob of sequence qg.
1/21
What is prob of sequence zzg when three letters picked without replacement from {z: 9, g: 7}?
3/20
What is prob of sequence vd when two letters picked without replacement from {v: 1, c: 2, d: 5, j: 1}?
5/72
Calculate prob of sequence hp when two letters picked without replacement from hhpphpphpphoph.
3/13
Calculate prob of sequence ynsn when four letters picked without replacement from {l: 1, y: 1, n: 8, g: 8, s: 2}.
14/14535
Calculate prob of sequence sgp when three letters picked without replacement from spg.
1/6
What is prob of sequence dg when two letters picked without replacement from gygdgeeedygddgg?
4/35
What is prob of sequence altn when four letters picked without replacement from nnnntlalnnan?
7/2970
Four letters picked without replacement from duduuuuduudrrdu. Give prob of sequence durr.
2/819
What is prob of sequence qhn when three letters picked without replacement from {q: 1, h: 2, b: 3, g: 1, n: 3}?
1/120
Four letters picked without replacement from hybybhbbubbbb. Give prob of sequence bhuh.
2/2145
What is prob of sequence ffff when four letters picked without replacement from {f: 7}?
1
What is prob of sequence fn when two letters picked without replacement from {f: 2, n: 1, d: 1}?
1/6
What is prob of sequence qpe when three letters picked without replacement from {a: 1, e: 2, p: 7, q: 10}?
7/342
What is prob of sequence nhr when three letters picked without replacement from nrhnr?
1/15
Calculate prob of sequence px when two letters picked without replacement from ppqpootpx.
1/18
Three letters picked without replacement from twffwormwoffoww. Give prob of sequence orw.
1/182
What is prob of sequence ff when two letters picked without replacement from {f: 11, h: 3}?
55/91
Calculate prob of sequence kko when three letters picked without replacement from {l: 3, o: 9, k: 7}.
21/323
Calculate prob of sequence hh when two letters picked without replacement from hhhhhhnn.
15/28
What is prob of sequence yy when two letters picked without replacement from yyyyyyjyyjy?
36/55
Calculate prob of sequence pcc when three letters picked without replacement from {p: 3, c: 17}.
34/285
Four letters picked without replacement from {b: 3, c: 7, t: 1, x: 7, g: 1}. What is prob of sequence ctcx?
49/15504
Four letters picked without replacement from zbuuzunubazzabzz. What is prob of sequence bbuu?
3/1820
What is prob of sequence gttt when four letters picked without replacement from tgggtttttggg?
2/33
Three letters picked without replacement from pywpeue. Give prob of sequence wee.
1/105
Three letters picked without replacement from hhwwhhihzwhgwhhhwhwh. Give prob of sequence hhi.
11/684
Two letters picked without replacement from {h: 1, b: 4, n: 2, r: 5, z: 7, e: 1}. Give prob of sequence zb.
7/95
What is prob of sequence hzz when three letters picked without replacement from zhzzzhzzhzzzhzzzzhz?
455/2907
Two letters picked without replacement from nngnggttntntrgr. Give prob of sequence tr.
4/105
Four letters picked without replacement from ottgcdddgododtbdd. What is prob of sequence dbdt?
3/1360
Four letters picked without replacement from {i: 1, z: 2, f: 1, k: 2, l: 1}. What is prob of sequence lzif?
1/420
Two letters picked without replacement from ypypcccplc. Give prob of sequence yc.
4/45
Four letters picked without replacement from hkkhhwkkwklwnwkwwkw. Give prob of sequence khkk.
35/5168
Calculate prob of sequence lj when two letters picked without replacement from allmaamllmj.
2/55
What is prob of sequence mhm when three letters picked without replacement from vmmmvmmmhm?
7/120
Three letters picked without replacement from kqqzrpzqqqrqpkrkppzk. What is prob of sequence qrp?
1/95
Four letters picked without replacement from {i: 4, d: 1, n: 3, e: 1, o: 5}. Give prob of sequence iiod.
5/2002
Three letters picked without replacement from hhupuhhphhpuph. Give prob of sequence uup.
1/91
What is prob of sequence lll when three letters picked without replacement from bbbblblblbb?
1/165
Three letters picked without replacement from {n: 6, a: 4, x: 4}. What is prob of sequence xxx?
1/91
What is prob of sequence mo when
|
{
"pile_set_name": "DM Mathematics"
}
|
4 divided by 12?
9/2
Calculate -23954 divided by -3.
23954/3
10647 divided by 9
1183
-3365 divided by -4
3365/4
What is 648 divided by 27?
24
329 divided by 7
47
155 divided by 3
155/3
Calculate 4 divided by 65.
4/65
Divide -35 by -5.
7
Divide 8 by -34.
-4/17
Divide 280 by 5.
56
What is 81 divided by 27?
3
Calculate 9902 divided by -5.
-9902/5
-4 divided by -9
4/9
-7080 divided by 3
-2360
807 divided by 3
269
Calculate -1 divided by 53.
-1/53
What is 2226 divided by -6?
-371
Calculate -37 divided by -7.
37/7
Calculate 196 divided by -23.
-196/23
-381 divided by -3
127
-69 divided by 69
-1
Divide 356 by -89.
-4
Calculate -3510 divided by -39.
90
What is -1205 divided by -5?
241
Calculate 6 divided by -46.
-3/23
What is 12 divided by 16?
3/4
What is 2 divided by 50?
1/25
Divide -743 by -5.
743/5
What is -108 divided by 5?
-108/5
0 divided by -5
0
What is 5636 divided by 4?
1409
Divide 9550 by -1.
-9550
What is 1 divided by -431?
-1/431
Calculate -22 divided by 4.
-11/2
0 divided by -3
0
Calculate -856 divided by -214.
4
Divide 9 by 1260.
1/140
38 divided by -2
-19
-2 divided by 7748
-1/3874
What is 27576 divided by -3?
-9192
Calculate -136 divided by -19.
136/19
Calculate 25 divided by 34.
25/34
Divide 4 by 117.
4/117
What is 208 divided by 26?
8
-18 divided by -2
9
-244 divided by -4
61
936 divided by 6
156
Divide -52 by -1.
52
Calculate -271 divided by -2.
271/2
Divide -230 by -133.
230/133
Calculate -96 divided by 6.
-16
Divide -14 by -44.
7/22
What is 126 divided by -42?
-3
Calculate 117 divided by 117.
1
Calculate 0 divided by -23.
0
Divide -52 by -11.
52/11
What is 4 divided by 249?
4/249
-237 divided by 79
-3
-58 divided by -58
1
What is 840 divided by -28?
-30
3 divided by 611
3/611
What is 14805 divided by 1645?
9
-12012 divided by 4004
-3
What is -200 divided by 100?
-2
What is 1260 divided by 7?
180
17613 divided by 19
927
-14640 divided by -4880
3
Calculate 387 divided by -6.
-129/2
Divide 7680 by -3.
-2560
Calculate 182 divided by 1.
182
What is 2 divided by 309?
2/309
What is -3408 divided by -4?
852
Calculate 306 divided by 19.
306/19
6 divided by -14
-3/7
What is -11 divided by 1701?
-11/1701
What is -5604 divided by -2?
2802
-37 divided by -14
37/14
What is 3843 divided by -3?
-1281
What is 1066 divided by -2?
-533
Divide -3144 by 393.
-8
What is 6 divided by 101?
6/101
-8 divided by -2
4
-1026 divided by -18
57
Divide 592 by 37.
16
What is 0 divided by 350?
0
4 divided by 20
1/5
Calculate 105 divided by 36.
35/12
Divide -38 by -2.
19
Divide 4518 by -6.
-753
Calculate 5970 divided by -5.
-1194
Calculate 5048 divided by -1262.
-4
What is 0 divided by -17?
0
9 divided by -443
-9/443
Calculate -19 divided by -2.
19/2
Calculate 6 divided by 132.
1/22
-886 divided by 6
-443/3
Divide 8436 by 2109.
4
Divide 123 by 41.
3
Divide 1 by -189.
-1/189
What is -118 divided by 28?
-59/14
Divide -16 by -3.
16/3
What is 2096 divided by 4?
524
Calculate -135 divided by -9.
15
Divide -30 by -5.
6
411 divided by -137
-3
What is -67 divided by -18?
67/18
Calculate 7250 divided by -2.
-3625
Calculate -10 divided by -10.
1
-2578 divided by -1289
2
Calculate 3804 divided by 951.
4
What is -140 divided by 35?
-4
Divide -1343 by 4.
-1343/4
What is 2005 divided by -5?
-401
Calculate -1754 divided by -11.
1754/11
2308 divided by 577
4
Divide 1764 by 6.
294
-5712 divided by 2
-2856
What is -3141 divided by 3141?
-1
What is 318 divided by -31?
-318/31
Calculate 118 divided by -9.
-118/9
What is -13 divided by 3?
-13/3
18898 divided by -1
-18898
Calculate -343 divided by -49.
7
What is 25 divided by -1?
-25
What is -270 divided by 29?
-270/29
What is -76 divided by -76?
1
Calculate 52320 divided by -3.
-17440
-707 divided by -2
707/2
Calculate 11315 divided by -3.
-11315/3
0 divided by 5462
0
What is -3732 divided by 6?
-622
What is -13930 divided by -1393?
10
What is 18 divided by 1?
18
Calculate -479 divided by -4.
479/4
What is 0 divided by 477?
0
Divide 3151 by -1.
-3151
What is 552 divided by -3?
-184
Divide -4 by 521.
-4/521
Divide -11 by -42.
11/42
What is -2976 divided by 3?
-992
-2 divided by -29
2/29
What is 6 divided by -169?
-6/169
Divide 784 by 8.
98
Calculate -58 divided by 51.
-58/51
What is 560 divided by -4?
-140
Divide -3 by -3020.
3/3020
Divide -2564 by -4.
641
What is -9 divided by -66?
3/22
What is -1 divided by 9?
-1/9
Divide 14 by -8.
-7/4
Divide 860 by 5.
172
Calculate 2 divided by 439.
2/439
45 divided by -18
-5/2
-10 divided by -2545
2/509
342 divided by 1
342
What is -267 divided by -4?
267/4
-7 divided by -28
1/4
784 divided by -98
-8
57 divided by -57
-1
What is -250 divided by -50?
5
Divide 116646 by -6.
-19441
Calculate 4518 divided by 753.
6
Calculate -69 divided by 3.
-23
36 divided by 6
6
Divide 140556 by 4.
35139
31 divided by -6
-31/6
Divide 8633 by -5.
-8633/5
2306 divided by 2
1153
Calculate -16 divided by -52.
4/13
Divide -1 by -512.
1/512
-17 divided by -112
17/112
Calculate -2049 divided by 4.
-2049/4
Divide 1885 by 1.
1885
0 divided by -65
0
Divide 4 by -26.
-2/13
Calculate 0 divided by 2728.
0
Divide -6 by 97.
-6/97
-555 divided by -22
555/22
Calculate -3 divided by -550.
3/550
2 divided by -6
-1/3
What is -2085 divided by -695?
3
Calculate 265 divided by 8.
265/8
What is -11 divided by -7?
11/7
Divide -5703 by -3.
1901
Calculate 100 divided by -20.
-5
Calculate 632 divided by 8.
79
Calculate 41 divided by -36.
-41/36
5 divided by -316
-5/316
30 divided by 5
6
23 divided by -4
-23/4
What is 869 divided by -11?
-79
Calculate 3740 divided by 1870.
2
Divide -240 by -6.
40
Divide 3 by 17.
3/17
-46 divided by -4
23/2
Calculate 360 divided by 9.
40
Divide 3654 by -203.
-18
What is -199 divided by 4?
-199/4
Divide -29144 by 4.
-7286
Calculate -7516 divided by -1879.
4
Calculate 3059 divided by -4.
-3059/4
What is 1044 divided by 18?
58
Divide -8724 by 3.
-2908
Divide 910 by 10.
91
Divide -1071 by 5.
-1071/5
15178 divided by 2
7589
Calculate 33 divided by 72.
11/24
What is 327 divided by -109?
-3
Divide -5236 by 4.
-1309
What is -1141 divided by 4?
-1141/4
Divide 14688 by 54.
272
Divide 318 by 1.
318
-1032 divided by -4
258
-64 divided by -1
64
What is 15160 divided by 2?
7580
Calculate 3139 divided by 5.
3139/5
What is 101 divided by -13?
-101/13
Calculate 356 divided by 89.
4
Calculate 1914 divided by 22.
87
Divide 0 by 740.
0
-3 divided by -16
3/16
Divide 4 by 6.
2/3
Divide -48 by 12.
-4
What is -1476 divided by 369?
-4
What is 3 divided by -1754?
-3/1754
Divide 26265 by -1751.
-15
Calculate -6 divided by -52.
3/26
Divide -3 by 191.
-3/191
Calculate -8 divided by 9.
-8/9
What is -7644 divided by 1?
-7644
What is 0 divided by -34?
0
5382 divided by -1
-5382
What is -69 divided by 37?
-69/37
16 divided by 8
2
What is 1 divided by 62?
1/62
Calculate -2 divided by -18.
1/9
Calculate -4 divided by 255.
-4/255
0 divided by -922
0
What is 35532 divided by 4?
8883
Calculate -10 divided by 385.
-2/77
What is 48 divided by 5?
48/5
Calculate -119 divided by -7.
17
Divide 6463 by -1.
-6463
Calculate 4 divided by 36.
1/9
Divide -8609 by 3.
-8609/3
What is 534 divided by 2?
267
872 divided by -436
-2
Calculate 70 divided by -14.
-5
What is 6 divided by -5?
-6/5
What is -15400 divided by 3080?
-5
3024 divided by 4
756
Divide 230 by -3.
-230/3
Divide 765 by 15.
51
Divide -7839 by -67.
117
0 divided by -782
0
9256 divided by 2
4628
Divide 1110 by 5.
222
What is -2808 divided by 1?
-2808
What is 34 divided by 17?
2
Divide -246 by 246.
-1
Calculate -965 divided by 5.
-193
What is 114 divided by 19?
6
Divide 2 by 215.
2/215
Divide -696 by -6.
116
Divide -1560 by 4.
-390
Divide -10140 by -6.
1690
Calculate -317 divided by -6.
317/6
What is 9240 divided by -924?
-10
What is -12 divided by 4?
-3
Divide 9000 by 8.
1125
Divide -4388 by 4388.
-1
Calculate 2790 divided by -310.
-9
Calculate 1914 divided by -638.
-3
-5 divided by -85
1/17
Divide -366 by 366.
-1
What is -1044 divided by -9?
116
Calculate 60 divided by 10.
6
-1 divided by -1088
1/1088
What is -810 divided by 2?
-405
Calculate 313 divided by 4.
313/4
-6165 divided by 3
-2055
Calculate -4 divided by -172.
1/43
Divide 2338 by -2.
-1169
What is -5 divided by 3?
-5/3
Divide -5 by 437.
-5/437
2 divided by 131
2/131
Divide -11016 by -3.
3672
12 divided by 12
1
What is -318 divided by 106
|
{
"pile_set_name": "DM Mathematics"
}
|
five decimal places?
0.00012
Let v = 172 + -193.7. Let y = 21.70000149 + v. Round y to 7 decimal places.
0.0000015
Let n = 561.13 - 582. Let k = n + 21. Let j = k + -0.130075. Round j to five decimal places.
-0.00008
Let j = -20 - 67. Let s = j + 87.118. Round s to two dps.
0.12
Let w = 2734.187 - 1.187. Let v = 2721.53 - w. Round v to zero dps.
-11
Let l = 777.0763 - 777. What is l rounded to 2 dps?
0.08
Let v = -27 + 30.1. Let x = v - 2.1. Let d = 0.9999999 - x. What is d rounded to seven dps?
-0.0000001
Let q be 6859 + (-2 - -8) + -5. Round q to the nearest one hundred.
6900
Let w = -3 + -11. Let l = w - -11.6. Let i = l - -2.39998. Round i to 5 dps.
-0.00002
Let r(o) = o**2 + 6*o - 15. Let p be r(-9). Let x be 2/(-2) + (p - 13) + 354. Round x to the nearest 10.
350
Let g = 0.61 - 0.581. Let a = 93.996 + -94. Let i = g - a. Round i to two dps.
0.03
Let q = -44.9 - 1.1. Let f = -56.14 - -5.94. Let a = q - f. What is a rounded to the nearest integer?
4
Let q = -79.5 + 64. Let y = 12.93 + 0.07. Let d = y + q. What is d rounded to the nearest integer?
-3
Let c = 123 - 124.5. Let f = 1.499939 + c. Round f to 6 decimal places.
-0.000061
Suppose -r + 3*g = -161609, 2*r + 7*g - 323212 = 11*g. Round r to the nearest ten thousand.
160000
Let f = -8.92 - -8.8827. Round f to two decimal places.
-0.04
Let r = -20871.88653 - -20872. Let y = -84 + 84.114. Let p = r - y. What is p rounded to 4 dps?
-0.0005
Let d(q) be the second derivative of q**5/20 + 3*q**4/4 - 7*q**3/6 + 6*q**2 + 8*q. Let c be d(-11). What is c rounded to the nearest 10?
-150
Let i = -711 - -711.3722. Let r = -0.0428 + i. Let c = r + -0.34. What is c rounded to 3 decimal places?
-0.011
Let p = 28.8 + -34. Let l = 34.2 + p. Let i = l - 29.00000066. What is i rounded to 7 decimal places?
-0.0000007
Let h(l) = -2*l + 2. Let z be h(-1). Let j be 0*(1 + (-2)/z). Suppose 5*u - 129 - 636 = j. Round u to the nearest 10.
150
Suppose -6*u + 10 = -8. Suppose 0 = -0*m + m + u*a + 51568, -3*a - 9 = 0. Let h = m + 124559. What is h rounded to the nearest 10000?
70000
Let a = -33.701 - -0.301. Let y = 131.6 - a. Let o = 183.6 - y. Round o to the nearest integer.
19
Let f = 5 - 3. Let c = f + -2.00000225. What is c rounded to 7 decimal places?
-0.0000023
Let l be (300/(-7))/(12/(-57540)). Round l to the nearest ten thousand.
210000
Suppose -2*c + 66 = -18. Suppose c = 5*q + 2*q. What is q rounded to the nearest integer?
6
Suppose f + 2 = -1. Let c = -32 - -36. Let r be f/4 - (-400003)/c. What is r rounded to the nearest 10000?
100000
Let j = -0.13 - 7.87. Let f = -14 - j. Let l = f - -6.000012. Round l to five dps.
0.00001
Let l = -134.3414572 + 114.541501. Let n = l + 19.8. What is n rounded to 5 decimal places?
0.00004
Let x be (-3 + 0)*(-5008)/(-12). Let u = -2722 - x. What is u rounded to the nearest one hundred?
-1500
Let y = -227 - -227.111. Let l = y + -0.941. What is l rounded to 1 dp?
-0.8
Suppose 2*d + 83 - 59 = 0. Let a = d + 162. Round a to the nearest one hundred.
200
Let c(h) = 1245550*h**2 - 18*h - 4. Let x be c(-3). What is x rounded to the nearest one million?
11000000
Let c(p) = 43*p - 6. Let g be c(-8). Let m be 1920/((195/g)/(-13)). What is m rounded to the nearest 1000?
45000
Suppose y + 13528 = 2*n, -31*y + 4*n + 54124 = -35*y. Round y to the nearest one thousand.
-14000
Let x = 1092562 + -1092562.0720093. Let g = 0.072 + x. What is g rounded to 6 dps?
-0.000009
Let z be 1/(3 + (-28)/10). Suppose -9*b + 17688628 = -z*b. Suppose 3*n - 1632157 = -b. Round n to the nearest one hundred thousand.
-900000
Let k = 0.03 + -2.13. Let j = k + 2.049. Let c = -5.451 - j. What is c rounded to 0 dps?
-5
Let l = 166 + -166.411. Round l to 2 decimal places.
-0.41
Let s = 1552 + 1705. Let g = s + -6487. Round g to the nearest 100.
-3200
Let s = -3807926.141 + 3806286. Let i = s + 1587.1. Let y = i - -53. Round y to 2 decimal places.
-0.04
Let f = -602758 - -602499.141. Let s = 260.859066 + f. Let h = -2 + s. What is h rounded to five decimal places?
0.00007
Let p = 19524.82 - -1243.78. Let v = -20779.5989 + p. Let r = 11 + v. What is r rounded to 3 dps?
0.001
Let v = -18.4 + 15.4. Let z = v - -3.00000242. Round z to seven decimal places.
0.0000024
Let s = -3 - -9. Suppose -4*q + 2*p = 163996, -3*p = 4*q - s*q - 81994. What is q rounded to the nearest ten thousand?
-40000
Suppose -5*d + 35810 = -5*i, 0*d + 35812 = -5*i + 3*d. Suppose 4844 = -a + 781. Let t = a - i. Round t to the nearest one thousand.
3000
Let l = -44.94 + -0.06. Let p = -45.0000033 - l. What is p rounded to six decimal places?
-0.000003
Let m = -12.6 - -83.6. Let g = m - 70.969. Round g to 2 decimal places.
0.03
Let n = 11.14 - 3.33. What is n rounded to one dp?
7.8
Let d = -3062 - -3031.002. Let v = -31 - d. What is v rounded to 2 decimal places?
0
Let o = -395.87665 - -0.58665. Let i = o - -397. What is i rounded to one dp?
1.7
Let b = 737 + -725.59. Let i = -11 + b. Let n = -3.49 - i. Round n to the nearest integer.
-4
Let v = 50.58 - 52.3756. Let f = v + 1.8. Round f to three decimal places.
0.004
Let u be 48/14 + (-28)/(-49). Let t be (-4)/(((-8)/6)/(-4)). Let y be u/t + (-5520002)/(-6). Round y to the nearest one hundred thousand.
900000
Let r(h) = 4191688*h - 7. Let z be r(-5). Let q = -33058447 - z. Round q to the nearest 1000000.
-12000000
Let i = -0.005 - -0.38. Let d = 0.59 - i. What is d rounded to two dps?
0.22
Let g = -105.999332 - -106. What is g rounded to 4 dps?
0.0007
Let m = 670.8924 - 670. Round m to 2 decimal places.
0.89
Let t be 1*(-4 + 1) + 3. Suppose t*y - 144 = -2*y - 4*v, y - 72 = -4*v. What is y rounded to the nearest 10?
70
Let o = 0.0116 - 0.01159726. What is o rounded to 6 decimal places?
0.000003
Let x = -42763454 + 42763429.999999. Let u = x - -24. What is u rounded to 7 dps?
-0.000001
Let a = 6.3 - 6.404. Let v = a + 0.103877. Round v to 5 dps.
-0.00012
Suppose -3*g - 218197 = 144803. Round g to the nearest ten thousand.
-120000
Let s = 2 - 14. Let j = s + 21. Let c = -9.14 + j. What is c rounded to one decimal place?
-0.1
Let h = -1.605 - -0.115. Let t = 0.02 - h. Round t to one decimal place.
1.5
Let i = 233552 - 1274552. Round i to the nearest ten thousand.
-1040000
Let t = -5012 - -1794. Round t to the nearest 100.
-3200
Suppose -5*n + 6 = -24. Let k be n/4*40/12. Suppose 0 = -k*h + h, -h = -i + 11000000. What is i rounded to the nearest one million?
11000000
Let s = 0.051 - 46.051. Let o = s + 45.33. Round o to 1 decimal place.
-0.7
Let w = 1276.9 + -1446. What is w rounded to the nearest one hundred?
-200
Let z = -128.169533 - -662.175223. Let j = -534 + z. Round j to 3 decimal places.
0.006
Let g = 3.6319032 - 3.6919. Let m = 0.06 + g. What is m rounded to six decimal places?
0.000003
Let z = -350.3067 + 58.4437. Let y = 27 - 319. Let v = y - z. What is v rounded to two dps?
-0.14
Let n(i) = 37499*i + 32. Let d be n(32). What is d rounded to the nearest 100000?
1200000
Suppose 3*c + 1912800 = -5*c. Round c to the nearest 10000.
-240000
Suppose 5*g - 110791145 = -2*s + 108208870, -3*s + 4*g = -328499988. What is s rounded to the nearest one million?
110000000
Let c = -52883527 - -843527. What is c rounded to the nearest 1000000?
-52000000
Let i = 614.61862 - 616.18. Let x = -1.24 - -2.8. Let v = i + x. What is v rounded to 4 decimal places?
-0.0014
Let j = 116 + -67. Let x = -21 + j. Let p = 28.0077 - x. What is p rounded to three decimal places?
0.008
Let d = 30 - -2. Let r = -76.0758145 + 44.07581385. Let w = d + r. What is w rounded to 7 dps?
-0.0000007
Let r = 0.046 + 35.954. Let v = 1433.252 - 1397.25054. Let f = v - r. Round f to four decimal places.
0.0015
Suppose -k + 740505 = 5*b, 2*b - 2*k = -5*k + 296215. Round b to the nearest 10000.
150000
Let f = 284.55459565 - 319.554599. Let o = f - -35. What is o rounded to 6 dps?
-0.000003
Let s = -54 - -53.79. Let j = s + 0.06. What is j rounded to one decimal place?
-0.2
Let r be 303*3/9 - -2. Suppose y - r + 663 = 0. Round y to the nearest one hundred.
-600
Let r = -1.607782 + 1.73018709. Let p = r + -0.1224. Round p to 7 decimal places.
0.0000051
Let v = -565 - -565.000000542. Round v to 7 decimal places.
0.0000005
Let r = 889.000315 - 889. What is r rounded to 4 dps?
0.0003
Suppose -40*j = -19*j - 4281900. Round j to the nearest
|
{
"pile_set_name": "DM Mathematics"
}
|
ppose v - 2 = -g*v. What is the units digit of v?
2
Suppose 0 = 4*n - 4, 2 = -4*y - 5*n + 15. Suppose 0 = y*o + 3*v - 17, 15 = 2*v + v. Suppose o = -4*i + 21. What is the units digit of i?
5
Let p(l) = l**2 + 12*l - 2. Suppose z - 5*z - 56 = 0. What is the units digit of p(z)?
6
Let x(f) = 2*f - 13. Let c be x(6). What is the units digit of (-3)/(-6)*(1 - c)?
1
Suppose 5*i = 2*i + 4*z - 30, 6 = 2*z. What is the units digit of ((-57)/i)/(1/2)?
9
Let d = 122 + -70. Let y = d + -36. What is the tens digit of y?
1
Suppose -3*g - g = 3*x - 23, 0 = 3*x - g - 13. Suppose -c + 1 = 4*q - 8, 0 = x*q - 25. Let z = -8 - c. What is the units digit of z?
3
Suppose 10 = -4*f + 3*a - 4, -8 = 2*f - a. What is the units digit of 4 - (f - -2)/(-3)?
3
What is the units digit of 2 + 3/1*6?
0
Let c = -9 - -4. Let f(r) = r**3 + 4*r**2 - 6*r - 3. Let y be f(c). Suppose -4 = -5*p - y*v + 31, -2*p = -2*v. What is the units digit of p?
5
Let s(b) = b**3 - 7*b**2 - 17*b - 5. Let i be s(9). Suppose 12 = 3*o - 3*r, r + 6 = i*o - 13. What is the units digit of o?
5
Let g(w) = 22*w - 8. Let h(k) = -110*k + 40. Let b(j) = 11*g(j) + 2*h(j). What is the tens digit of b(3)?
5
Let l = -9 - -13. Suppose -v - 7 = 3*x - 24, -4*x = -v - 11. Suppose t = l*y - v, -5*t - 10 = -5*y - 0. What is the units digit of y?
1
Suppose 5*k + 5*i = k + 7, 2*k - 10 = 4*i. Let c = 2 + k. Suppose -c*h + 10 = -0*h. What is the units digit of h?
2
Let u(k) = -7*k**2 - 19*k + 5. Let c(x) = -4*x**2 - 10*x + 3. Let o(i) = -5*c(i) + 3*u(i). Let f = 1 + -7. What is the units digit of o(f)?
6
Let w(d) = d**2 + d + 6. Let l be w(0). Let z = -6 - -11. Suppose -l*c + c = -z. What is the units digit of c?
1
Suppose 0 = 5*h + 5 + 10. What is the units digit of (-4 - 2)*(h - -2)?
6
Let c(y) = 7*y**2 - 6*y - 3. Let m(p) = 8*p**2 - 6*p - 2. Let b(f) = -7*c(f) + 6*m(f). Let u(s) = 2*s - 7. Let a be u(7). What is the units digit of b(a)?
2
Let a(y) = y**3 + 7*y**2 - 9*y - 7. Let k be a(-8). Suppose 3*b = -k + 7. Suppose 0*j + b*j = 44. What is the tens digit of j?
2
Let p = 16 + -16. Suppose -2*s + 0*s - 2*u + 54 = p, 0 = 4*u. What is the units digit of s?
7
Let w(u) = 1 + 8 + 0 - 5*u. Let s be w(7). Let h = 40 + s. What is the units digit of h?
4
Suppose 0 + 4 = -o. What is the tens digit of (2/(-6))/(o/132)?
1
Suppose -1377 = -7*q + 345. What is the hundreds digit of q?
2
Let s(o) = -2*o + 6*o - 3*o - 2 + 2*o**2. What is the tens digit of s(-3)?
1
Let p = 2 + -9. Let m(j) = 3*j + 9. Let g be m(p). Let a = 0 - g. What is the units digit of a?
2
Let j(s) = 3*s**3 - 6*s - 5. Let v(y) = 10*y**3 - 19*y - 16. Let g(b) = -7*j(b) + 2*v(b). Let a be g(-2). Suppose 4*f = a*f + 3. What is the units digit of f?
3
Let f(d) = -d**3 + 4*d**2 + 2*d - 2. Let r be f(4). Suppose 3*n + 39 = r*n. Suppose -4*t + 4*m + 14 = 2, t = -4*m + n. What is the units digit of t?
5
Let h = -97 - -197. Suppose 0 = 5*t - 2*g - 125, -3*t + 4*g + h = t. Let y = t - 17. What is the units digit of y?
8
Let u = -2 + 13. What is the tens digit of u?
1
Let f = -54 - -301. What is the tens digit of f?
4
Let u(m) = 0*m**2 + 2 + 3*m**2 + 6*m - 3*m - 5*m. What is the units digit of u(2)?
0
Let l(s) = 16*s**2 - 14. What is the hundreds digit of l(4)?
2
Suppose -z + 30 = -1. Suppose -2*x + 9 = -z. Suppose -4*j + 0*n + 24 = -2*n, -x = -5*j + 5*n. What is the units digit of j?
8
Let c(l) = 3*l - 6. Let f(d) = d**3 - 15*d**2 + 5. Let n be f(15). What is the units digit of c(n)?
9
Suppose 5*n = -2*v + 4 + 9, 0 = 5*n - 3*v - 18. Suppose -3 = -n*g + 30. What is the tens digit of g?
1
Let o be 8 - (-3 - (-3 + -1)). Suppose a - 24 = -o. What is the tens digit of a?
1
Let p = 139 + 16. What is the hundreds digit of p?
1
Let w = -36 + -28. What is the units digit of -6*(w/12)/2?
6
Suppose -3*k + 7*k = 16. Suppose c + 7 = 3*l, -2*c = l - 5*l + 6. Suppose 3*d + 4*y = k, 5*d + 2*y - 11 - c = 0. What is the units digit of d?
4
Suppose 5*t - 15 = -r, 0 = 3*t + 5*r - 15 - 16. Suppose t*s + y = 14, 5*s + 4*y = 36 - 4. What is the units digit of s?
8
Let i(f) = 4*f + 2. Let r be i(-3). Let h be (55/r)/(1/(-2)). Let q = h + -4. What is the units digit of q?
7
What is the units digit of 184/18 + 2/(-9)?
0
Let q = 3 + 2. Suppose z + 4*d = -10, -3 = 3*z - 0*d + 3*d. Suppose q*n - 9 = z*n. What is the units digit of n?
3
What is the tens digit of (-188)/(-8) - 1/(-2)?
2
Suppose 5*j - y - 49 = 0, 12*j - y = 14*j - 14. What is the units digit of j?
9
Let l = -53 - -68. What is the units digit of l?
5
Let o = -4 - -7. Suppose 10 = 2*a - o*t, 3*a - a - t - 18 = 0. What is the tens digit of a?
1
Let k = 17 + 64. What is the tens digit of k?
8
What is the tens digit of (-41)/(-3)*(-1 - -4)?
4
Suppose 2*s - 67 = -3. What is the units digit of 24/s - 33/(-4)?
9
Suppose 243 = -a + 55. Let l = -68 - a. What is the units digit of 2/(-7) - l/(-28)?
4
Suppose 3*w + 2*w - 45 = 2*h, 5*h - 4*w = -87. Let r = -5 - h. What is the tens digit of r?
1
Let k be (-1)/((-52)/(-24) - 2). What is the units digit of 3/(k/(-28)) - 2?
2
Let g(r) = -6*r**2 + 7*r. Let n(o) = 13*o**2 - 13*o. Let f(p) = 11*g(p) + 6*n(p). What is the tens digit of f(1)?
1
Let h(i) = i**2 + 7*i - 17. What is the units digit of h(-13)?
1
Suppose -19*z + 1640 = -11*z. What is the tens digit of z?
0
Let w = 119 + -44. What is the tens digit of w?
7
Suppose -n + 4*n = 30. What is the units digit of 40/7 - n/(-35)?
6
Suppose 9*m - m - 1312 = 0. What is the tens digit of m?
6
Let i(h) = -16*h**3 - 34*h**2 - 26*h + 9. Let f(w) = 3*w**3 + 7*w**2 + 5*w - 2. Let q(u) = 11*f(u) + 2*i(u). What is the tens digit of q(-8)?
3
Suppose 2*d + 45 = 7*d. Let f(z) = z**2 - 7*z - 9. Let r be f(d). Let g = -1 + r. What is the units digit of g?
8
Let r(k) = k**3 - 7*k**2 + 3*k + 4. What is the tens digit of r(7)?
2
Let n = 36 + -14. Let k = -16 + n. What is the tens digit of -33*(10/k - 2)?
1
Let z(s) be the first derivative of s**3/3 + 2*s**2 + 6*s + 2. Let u be z(-4). Suppose u*f - f - 20 = 0. What is the units digit of f?
4
Suppose -91 = -2*i + 3*c + 2, -4*c + 12 = 0. Suppose -5*l + i = -4*f - 226, -5*l - f = -287. What is the tens digit of l?
5
Let x(z) = -276*z - 2. What is the hundreds digit of x(-1)?
2
Let h = 30 + 21. What is the units digit of h?
1
Let f(l) = l**2 - 3*l + 36. What is the hundreds digit of f(13)?
1
Let t be 4 + 1 + (-2 - -5). Suppose t = -3*l + 5*l. What is the units digit of l?
4
Suppose 4*h + h + 5 = 0, -76 = -4*z + 4*h. What is the units digit of z?
8
Let f = -22 - -10. Let c = f - -38. What is the tens digit of c?
2
Suppose -2*k - 3*n + 74 = 0, -2*k + 64 = 2*n - 4*n. Let c(u) = u**3 + 5*u**2 - 4*u - 6. Let b be c(-6). Let x = b + k. What is the units digit of x?
6
Let t(i) = -i**3 - 3*i**2 - 2*i + 1. Let f be t(-3). Let o = f + -1. What is the units digit of o?
6
Suppose 7*r = 3*r + 624. What is the units digit of r?
6
Let d = -40 - -6. Let v = 61 + d. What is the units digit of v?
7
Let g = -6 + 11. Suppose g*q = 44 + 106. What is the units digit of q?
0
Let n(q) be the third derivative of -q**6/720 - q**5/15 + q**4/24 - 4*q**2. Let f(j) be the second derivative of n(j). What is the units digit of f(-9)?
1
What is the units digit of (-496)/(-13) + 4/(-26)?
8
Suppose b = -b + 28. Suppose -b = 3*v - 2*f, 3*f = 2*v + 2*v + 19. What is the units digit of 16/7 + v/14?
2
Let n be (-2)/(-9) + 16/9. Suppose b - 3 = n. What is the units digit of b?
5
Let v(i) = -4*i**3 + 4*i**2 + 2*i - 5. What is the tens digit of v(-3)?
3
Let w = -14 - -20. Suppose -3 = u - w. Suppose -4*p = g - 66 - 14, -u*g = 0. What is the tens digit of p?
2
Suppose z - 4*p + 14 = 0, 3*z - 14 = -z + 2*p. What is the units digit of z?
6
Let k = 53 - -17. What is the tens digit of k?
7
Suppose 3 = -0*p + 3*p. Let a = -4 + 4. Suppose 5*u + 30 = 4*b, -3*u - p = b - a*u. What is the units digit of b?
5
Let z(v) = v**2 + 4 + 0*v**2 + 5 - 8*v. Let b be z(7). Suppose -2*q + b = -8. What is the units digit of q?
5
Let u = -6 + 8. Suppose -u*k + 4*k - 18 = 0. What is the units digit of k?
9
Suppose 0 = 4*r + 11 + 21. Let f = -6 - r. Suppose -q + 33 = u + f*u, -u + 2*q = -4. What is the units digit of u?
0
Suppose 9*q = 7*q + 420. What is the tens digit of q?
1
Let l(b) = -b**3 + b**2 - b + 10. Let i be l(0). Let q = i - 4. Let g(s) = s**3 - 6*s**2 + 2. What is the units digi
|
{
"pile_set_name": "DM Mathematics"
}
|
is the sixth smallest value? (a) -1/4 (b) 4/3 (c) 2 (d) -4071577 (e) -0.4 (f) -0.5
c
Which is the second biggest value? (a) -31 (b) 5 (c) -22.5 (d) 4 (e) -0.14 (f) -5
d
What is the third smallest value in 3, 0, -280, -14.2, 5, -14?
-14
Which is the second smallest value? (a) 107 (b) -3106473 (c) 0.3
c
What is the fourth smallest value in 0.5, -4, 2.2, -1228/25, -0.5?
0.5
What is the fifth smallest value in 0.003, -3/8, 178, -1/6, 0.4?
178
What is the sixth smallest value in 779, 4, -3, -5, 4/5, 0.2?
779
What is the third biggest value in -258, 0.3, 17.5, -1, 19.3?
0.3
What is the third smallest value in 0.2, -0.5, -0.281499, 0.0637?
0.0637
Which is the third smallest value? (a) 702 (b) -9/11 (c) -549
a
What is the fifth biggest value in 1/5, -3/2, 1/7, 2/7, -99, 0.1, -24.3?
-3/2
Which is the fifth biggest value? (a) -4 (b) -370.4 (c) -8 (d) 0.17 (e) -0.5
b
What is the biggest value in 3609, -37, -32?
3609
What is the second biggest value in 34/9, 438, 3538?
438
What is the fourth smallest value in 2, -14, 3/5, 232, 8/3, -4, -468?
3/5
What is the biggest value in 0.4, 2/9, -2.93, 0.5, -4/11, -5?
0.5
What is the biggest value in -1, -1.19, 7496?
7496
Which is the sixth biggest value? (a) 2/7 (b) -2 (c) 0 (d) 1468 (e) -0.5 (f) -0.3
b
What is the third smallest value in -0.15, 2, 0.2, 99, 2/29, -1?
2/29
Which is the third smallest value? (a) 294 (b) -7 (c) -0.1 (d) -1/2 (e) -3 (f) 87
d
What is the biggest value in -1, 9141, 2/15?
9141
What is the third biggest value in 0.5, -1/5, -4, 1327450, -0.1?
-0.1
What is the third biggest value in -1, -0.0149, 4, 5, 5/1019?
5/1019
What is the sixth smallest value in -0.03, 0.02, -3, 6, -4, -150?
6
What is the fourth smallest value in 72673, -0.9, -13, 5?
72673
What is the third biggest value in -2/5, -315.8, 5, -5, 1/10, 2/5, -2/3?
1/10
What is the second smallest value in 0.058, 14360/3, -3/2, 3?
0.058
Which is the second biggest value? (a) 24 (b) 3/8 (c) 683/9
a
What is the third smallest value in -0.4, -64, 13.784, -0.3?
-0.3
What is the fourth biggest value in 1.51, 52/259, -3, -1?
-3
What is the sixth smallest value in -6/5, -93, 1, 0.5, 0.2, -2?
1
What is the fourth smallest value in -130/373, -0.2, 145, 1/2?
145
Which is the biggest value? (a) 0.4 (b) -3249 (c) 1/233 (d) -111
a
What is the smallest value in -0.06, 0, 0.2, 3, 0.1, -2/19, 1686?
-2/19
Which is the second biggest value? (a) -6 (b) 3 (c) 1/3 (d) -5 (e) -0.3 (f) -0.2 (g) 2104
b
What is the third biggest value in -78, 1853.4, 41?
-78
Which is the second biggest value? (a) -4/9 (b) -4 (c) -93 (d) 1/3 (e) 58/9 (f) -1/3 (g) -3
d
Which is the biggest value? (a) -11.70462 (b) 0.02 (c) 1/5 (d) 1
d
What is the smallest value in -7, -0.4, 4, 284.861, 2?
-7
What is the fifth biggest value in 85, 1/14, 4.7, -4, -5/8?
-4
What is the fifth biggest value in 1814, 4278, 2/3, -4, -1/5?
-4
Which is the second biggest value? (a) 31 (b) 0 (c) -0.4 (d) 4/5 (e) -52/7 (f) -4
d
Which is the third biggest value? (a) 0.1185 (b) 0.4 (c) -328/37
c
Which is the third smallest value? (a) -124 (b) -2 (c) 0.07 (d) 0.3 (e) -305
b
Which is the fifth biggest value? (a) 2 (b) 0.01 (c) 4/7 (d) -80 (e) 1 (f) 0
f
Which is the biggest value? (a) 6 (b) 0 (c) 1/12 (d) 3.8 (e) 113
e
What is the third smallest value in -3, -0.4, -178, 499/2?
-0.4
What is the smallest value in -1/4, -12, 818, -5, 2?
-12
What is the second smallest value in -2/19, 1/44, 34, -0.15?
-2/19
What is the second biggest value in -1/3, 0.5526, 0.4, 5, -1/4, -5?
0.5526
Which is the fifth biggest value? (a) -1 (b) -0.4 (c) 187.3 (d) -1/4 (e) 0.7 (f) -2 (g) 2/9
b
Which is the smallest value? (a) 0.5 (b) 0.3 (c) -2/3 (d) -13 (e) -4 (f) 19 (g) -9/4
d
What is the third smallest value in -16, 90636, 53?
90636
Which is the third smallest value? (a) -6 (b) -18 (c) 2 (d) 7674
c
What is the third biggest value in 1/4092, 9/7, -398?
-398
What is the third biggest value in 1/2, -0.05, -23.868, 2, -0.4?
-0.05
What is the smallest value in -740, 41, -0.1?
-740
Which is the second smallest value? (a) -0.23 (b) -20 (c) -1 (d) 2 (e) -2 (f) -43 (g) -4
b
What is the seventh smallest value in 1/4, 2.3, 1414/27, 0, -2, -0.3, -10?
1414/27
Which is the fifth biggest value? (a) 3/7 (b) -0.1 (c) -0.5 (d) -241/4 (e) 2.3
d
Which is the smallest value? (a) -403137 (b) -7 (c) -10
a
Which is the sixth smallest value? (a) -207 (b) -4/5 (c) 249.4 (d) -0.4 (e) 2/13 (f) -4
c
What is the smallest value in 0, -61890, -1.1?
-61890
What is the sixth smallest value in 0.5, 2/2649, -1/4, -0.5, -5, -2/7, 2/3?
0.5
What is the fourth biggest value in 9, -16/759, -1/7, -6?
-6
Which is the fifth biggest value? (a) -5189 (b) -8 (c) 2/13 (d) 1/5 (e) -0.1 (f) -0.84
b
What is the fifth smallest value in 1/9, -9/2, -2/3, 4, 3, 18?
4
What is the fourth biggest value in 4, 3, 182, -368?
-368
What is the fourth biggest value in 2/19, 35, -0.0403, 2, 0.1, 3, -0.2?
2/19
What is the third biggest value in -106, -24.2, -0.358?
-106
What is the second biggest value in 90/107, -1/52, 2, -1, -0.3, -5, 14?
2
Which is the fourth smallest value? (a) -0.1 (b) -0.3 (c) -1745 (d) -12 (e) -5 (f) 9 (g) 1
b
Which is the fifth smallest value? (a) 5 (b) -88 (c) -0.4 (d) -5223 (e) -0.1 (f) -1
e
What is the second biggest value in -1/6, 1/8, 0.03, -3/4, -3, 0.077?
0.077
Which is the biggest value? (a) 1/3 (b) -1/42 (c) 235.4 (d) 1 (e) -3 (f) 1/12
c
What is the second biggest value in 0.108, 0, -0.27, 3, 2, -5, 1/62?
2
Which is the fourth biggest value? (a) -4/7 (b) 2/13 (c) -22.8 (d) 3
c
Which is the second smallest value? (a) 0.28 (b) 0.3 (c) 12 (d) -3 (e) 248 (f) -0.08
f
What is the third smallest value in 251, -4, -131/5, 18?
18
What is the third smallest value in 70, -197/6, 0.7, 3?
3
What is the second biggest value in -27, -23, 657?
-23
Which is the third smallest value? (a) 3/5 (b) 0.1 (c) -0.4 (d) -0.01 (e) 0.2 (f) 5 (g) -12936
d
Which is the fourth smallest value? (a) 3 (b) -56 (c) 0.16 (d) 14/41
a
What is the second smallest value in -118, 4, 23.25, 3/2?
3/2
Which is the second smallest value? (a) 10 (b) -8299.25 (c) 3/7
c
What is the smallest value in -10165319, -1, -1/8?
-10165319
Which is the second smallest value? (a) 34235 (b) 4/25 (c) 80 (d) 0.4
d
What is the biggest value in 1/4, -0.2, 0.4, -18049384?
0.4
Which is the second biggest value? (a) -4 (b) -1 (c) 0.02 (d) -152.2 (e) -2/17 (f) 5/9
c
What is the smallest value in 2, 1, -3/2, -1.2, 23, 0.1?
-3/2
Which is the second smallest value? (a) -0.2 (b) 0 (c) -4041347 (d) 0.2
a
What is the second biggest value in 3, -5/3, 7.16, 10/9, -2/537?
3
What is the fourth biggest value in -617, 3, -0.13, 72?
-617
Which is the biggest value? (a) -283460 (b) -0.5 (c) 74/9
c
Which is the third smallest value? (a) -2/11 (b) -6 (c) 1/6 (d) 9865 (e) 2 (f) 2/7 (g) -0.1
g
Which is the smallest value? (a) -83 (b) -0.599 (c) -36 (d) -4 (e) 0.1
a
Which is the smallest value? (a) -943 (b) -161 (c) 6/5 (d) -4
a
What is the second smallest value in -30012/5, 4/15, 0.07?
0.07
What is the biggest value in 7, -3/23, 3, -12839, 5?
7
Which is the sixth biggest value? (a) -300/17 (b) 18 (c) 68 (d) -0.4 (e) -2 (f) 3
a
What is the third biggest value in -3, 3/11, 2/37, -2, -1.4, -0.4?
-0.4
Which is the third biggest value? (a) -0.333 (b) -3 (c) -1/5 (d) -70 (e) -2
e
Which is the biggest value? (a) 155/2 (b) 1.2 (c) -1/88 (d) 0
a
Which is the fourth biggest value? (a) 2/13 (b) 44774 (c) 2/7 (d) -0.6 (e) -1/4
e
Which is the fifth biggest value? (a) -1 (b) 1/4 (c) -369 (d) 5/3 (e) 0.56 (f) -6/11
a
Which is the third smallest value? (a) 4/7 (b) -3 (c) -7 (d) 1/200 (e) 1/154 (f) 4 (g) 2
d
What is the fifth smallest value in -0.3, 1, 5, -1.5, -0.067, -223?
1
What is the biggest value in 5, -4/1587, 2/7, 1.71, -1, 2/13?
5
Which is the third biggest value? (a) 25 (b) 0.4 (c) 3 (d) -34104
b
What is the third smallest value in -2/13, -0.1, -13671, 3, -2/7, -14?
-2/7
Which is the smallest value? (a) 1/5 (b) -1210 (c) 16/19 (d) 4 (e) -3
b
Which is the third smallest value? (a) -7/235 (b) -7 (c) 14 (d) -2 (
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{
"pile_set_name": "DM Mathematics"
}
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x be m(-1). Let q = 47 - 45. Suppose 0*r + 5*r = 3*n - 31, 2*r + 6 = -q*n. Solve 3*u - x*y - 3 = 0, -4*u + n = 2*y - 2 for u.
1
Let p be -1*6*2/(-4). Suppose 0*v - v + 8 = 0. Suppose v = 3*k + 2*q, 3*q + 1 + 0 = 2*k. Solve -k*x - x - f + 12 = 0, 3*x + p*f - 18 = 0 for x.
3
Suppose 48 = 31*x - 19*x. Solve 41 = 5*a + 4*s, 0 = -x*a + 2*s + 9 + 3 for a.
5
Let u(c) = c + 14. Suppose -2*r - 2*r = 44. Let h be u(r). Solve -h*i + 15 = -4*m, i + 0*i + m - 5 = 0 for i.
5
Let x(c) = c**2 + c + 4. Let h be x(0). Suppose 0 = 4*v - 4*g + 4, 4*v + 0*g - 3*g + 7 = 0. Let a = -2 - v. Solve h*f = 3*o - 7, 3*o + a*f = 4 - 3 for o.
1
Suppose h + 2*h + 155 = o, 3*o + 2*h = 520. Suppose 0 = -t - 4*t + o. Suppose -t = -4*i - 6. Solve -3*l + 0 = -2*u - i, 3*l - 11 = u for u.
4
Let g = 143 - 81. Let x = 65 - g. Solve x*l - 6 = -w + 3, -5*w = l - 17 for l.
2
Suppose -2*d - 3*d = -5*b - 30, -6 = 5*d + 4*b. Let y be ((-72)/(-60))/(d/5). Let h be 6/30 - 24/(-5). Solve -2 = -2*a + 4*m, -2 = y*a - h*m - 4 for a.
-1
Let h be -1 - (25/(-5) + 0). Let o(b) = b + 1. Let t be o(2). Solve h*s - 4 = 0, -t*x + 5*s = -4*x for x.
-5
Let s be (-40)/200 + (-2 - (-63)/15). Solve -5*c + s*a = -3, -18 = -0*c - 2*c + 5*a for c.
-1
Suppose -25 = 5*f + 3*a, -12 = -2*f + 5*a + 9. Let t be (f/5)/((-3)/(-30)*-2). Suppose -4*h = -6*h. Solve -5*u + 3*p - 31 = h, t*p = -5*u + 6*u + 9 for u.
-5
Let v = 313 + -287. Solve 2*i + 4*t = 4, -3*i - v - 1 = -5*t for i.
-4
Let m = 186 - 184. Solve 4*f + 7 = 3*a, -m*f + f + 5*a - 6 = 0 for f.
-1
Suppose 41 + 43 = 28*z. Solve -z*y - 14 = -4*t, -3*t = -t + 3*y - 16 for t.
5
Let j = 51 - 28. Suppose 13 = -4*a - j. Let v be 24 + 0 + a/(-3). Solve 5*l - 3 = -u + 20, -v = -5*u - 3*l for u.
3
Let r(t) = -t**2 - 5*t - 2. Let l be r(-3). Let x(k) = 5*k + 12. Let o be x(-2). Solve -o*q = -l*y - 2, 3*y = -y + 3*q + 1 for y.
-2
Suppose 8 = 3*z - 3*r + 5, 3*z + 5 = 5*r. Solve 10 = 2*q - z*g, -5*q + 20 = -q + g for q.
5
Let s = 68 - 21. Suppose 6*v - s + 17 = 0. Solve v*t + 2*z - 3 - 5 = 0, -z = -3*t - 4 for t.
0
Let m be ((-25)/(-15))/((-15)/(-18)). Solve 3*b + 9 = -5*r + 5, -b = m*r + 1 for b.
-3
Suppose -4*d + 8 + 8 = 0. Solve j + d*b = -j + 20, 4*j - b - 4 = 0 for j.
2
Suppose -17*x + 18 = -67. Solve -5*d = -r - 7, -x*r = 5*d - 0*d + 5 for r.
-2
Suppose 16 = 2*f - 24. Let p be (-4 + 28/8)*-4. Suppose 12*d + 2 = p. Solve d = -4*x + 2*a - f, 8 - 26 = 5*x + a for x.
-4
Suppose -2*d - 83 = 5*q, d - 2*d + 1 = 0. Let y = q + 22. Solve 4*p + 0*p - 7 = -3*t, -4*t + 8 = y*p for p.
4
Let k(z) be the second derivative of z**5/20 + 2*z**4/3 - 11*z**3/3 - 6*z**2 + 40*z. Let l be k(-10). Solve -29 = -5*w - a, -3*w + 7*w - 3*a = l for w.
5
Suppose -c - i + 3 = 0, -1 + 8 = 2*c + i. Suppose -2 = c*k - 22. Solve -2*j = -6, -k*p = -4*p - j + 4 for p.
-1
Suppose -4*b = -i - 13, 4*i - 24 = -5*b + 2*b. Solve 3*s - 4 = q, -3*s + i = -3*q - 3 for q.
-1
Let v be 0 + 1/(-2)*-124. Let j be v/(-8)*(4 - 0). Let z = -15 - j. Solve -5*i - z = -3*i + 5*o, 4*o = 4*i + 4 for i.
-3
Let t = -70 + 79. Suppose 0 = t*q + 4 - 22. Solve 5*m + 2 = -2*d, 0 = -q*d + m - 4*m - 2 for d.
-1
Suppose 3*f - 9 = 3*i - 2*i, 5*f - 25 = 5*i. Suppose 23 = g + 3*l, 5*l = -f*g + 43 - 0. Let m = g - 10. Solve -m*y = -0*r - 3*r - 1, 2*r - 22 = -3*y for r.
5
Let s be -4 - -1 - (-3)/1. Let k be s/(-1 - -4 - 4). Suppose u = -k*u. Solve u*h + p = -4*h - 25, 0 = -5*h + 3*p - 10 for h.
-5
Let r be 0/(((0 - -5)/5)/1). Solve 3*b - k + 5 = r, 4*k + 2 = 4*b + 22 for b.
0
Let v(a) = a**2 + 2*a + 1. Suppose 2 - 22 = -2*p. Suppose p = -2*w + 3*q - 4*q, 5*q + 23 = -w. Let j be v(w). Solve -2 = k - 0*y - 3*y, -8 = j*k + y for k.
-2
Suppose -49 = -5*k + 2*j, -2*j + 41 = 4*k + k. Let u = -232 - -234. Solve 3*x = -4*a + 11, -u*a + k = 5*x - 0*x for a.
2
Suppose -15 + 19 = 2*t. Let h(n) = 2*n**3 + n - 1. Let b be h(1). Suppose -b*k + 2 = -6. Solve 3*g + 3*l + 6 = 0, 0 = -3*g - t*g + k*l + 8 for g.
0
Let b(v) = -v**3 + 6*v**2 - 5*v - 1. Let r be b(5). Let m be (-27)/(-36)*(33 + r). Solve -z - 4*z + 5 = 5*o, 4*z + m = 3*o for o.
4
Let k = 166 - 148. Solve -5 = -5*w, 4*v - 3*w = -w - k for v.
-4
Suppose 21 = -20*g + 81. Solve 0 - 9 = -b - 3*h, -18 = -4*b - g*h for b.
3
Let u(p) = 2*p**2 - 12*p - 1. Let k be u(6). Let l be k/(-8) + (-156)/(-32). Solve 0 = -t - m - l, 4*m - 4 = t + t for t.
-4
Let z(c) = c**3 - c**2 + 2*c + 5. Let r be z(0). Solve r*y - 3*y = 4*n, n = -y for n.
0
Suppose -6*h = -3*h + 9. Let a = h - -7. Suppose a*o + 33 = v, -34 = -5*v - o + 110. Solve w = -4*s - 12 + v, -s = -5 for w.
-3
Let a(j) = -10*j - 110. Let c be a(-11). Solve 4*b + n - 17 = 2*n, c = -5*b - 3*n + 17 for b.
4
Let q be (12/10)/(1/(-35)). Let v be ((-4)/(-6))/((-28)/q). Solve -4*m = -5*m - v, -m = -2*n - 3 for n.
-2
Let n(w) = -10*w - 2. Let j be n(-5). Let y be ((-6)/4)/(j/(-64)). Solve y*k - 3*x - 3 = 12, x + 5 = k for k.
0
Let c be 5/((-25)/(-30)) + -6. Let w be ((-84)/4)/(6/(-4)). Let d be (24/w)/((-7)/(-49)). Solve -m = -2*y + d, 0 = -2*y - c*m - m + 4 for y.
4
Let c(v) = 3*v - 3. Let z be c(2). Suppose 5*x = 4*x - 5*h + 29, -4*x + 4*h = -164. Let f = -36 + x. Solve -4*s - f*o = -0*o, -5*o = -z*s + 29 for s.
3
Suppose -3*z = 7*l - 5*l - 7, -5*z + 21 = l. Solve 3*j - 5 = j + a, -4*a - 20 = -z*j for j.
0
Suppose -32*y = -33*y + 8. Suppose 14*m - 18*m = -y. Solve -35 = -2*f + 5*x, 5*f - m*x - 3*x = 50 for f.
5
Let m(o) = -o**2 - 3*o + 12. Let p be m(-5). Suppose -p*d + 2 = j - 4, -3*d + j + 14 = 0. Solve -2*r = -d*r - q, -3*q + 8 = 2*r for r.
-2
Suppose 0 = -4*q + 5*q - 32. Solve -4*p - q = -4*h, 5*p + 25 = -0*p for h.
3
Let h be (-26)/(-10) - 6/(-15). Suppose 3*q + 2*a - 18 = q, 0 = 3*q - 4*a + 8. Suppose 66*b - 926 - 130 = 0. Solve -4*i + h*j = -b, 5*j - q*j = i - 5 for i.
1
Let p(c) = c**3 - 4*c**2 + 5*c + 1. Let b be p(3). Suppose 2*s - 33 = -b. Suppose 4*v + 14 = 3*r, -5*v - s = -3. Solve 0 = 5*h + 15, -r*z + 5*h + 30 = 7 for z.
4
Suppose 116 + 164 = 7*m. Solve 41 = -5*w + 4*s, 3*w - 5*s + m = -w for w.
-5
Suppose -5*m = 5*o - 10, 3*o = -o + m + 13. Let q(h) = -h + 8. Let j be q(o). Solve -4*t - 15 = -j*s, 3*s - 12 = 2*t - 5 for t.
-5
Let y = -14 - -3. Let c = 14 + y. Let k = 395 - 391. Solve -2*x = k*s - s - 22, 0 = c*x + 4*s - 31 for x.
5
Let s(v) = -v**3 + 15*v**2 + 15*v + 27. Let n be s(16). Suppose n*u = -26 + 147. Solve -4*i - a = 7, -4*a + 0*a = 3*i - u for i.
-3
Let g be (-2)/(-3*(-5 - (-155)/30)). Solve 0 = 3*k + g*l - 20, -6*k + 2*k + l = 5 for k.
0
Suppose -3 = f - 0*f, 2*x = 5*f + 65. Suppose 15 + x = 2*a. Solve -12 = 5*j + 8, 0 = 2*l + 5*j + a for l.
0
Let w(j) be the third derivative of -j**6/120 - 7*j**5/60 + 5*j**4/8 - 11*j**3/3 - 21*j**2. Let p be w(-9). Solve 0*n - 2*n - 2*d = -12, p*n = -4*d + 28 for n.
4
Let c be (-1)/(-2)*(5 - 1). Suppose c*y - 3*i - 3 = -1, 0 = i. Let m be -1 - -6 - (4 - y). Solve 3*h - 5*a - 23 = 0, -2*h + 3*h - m*a - 9 = 0 for h.
1
Suppose -f - 4*h = -18, 4*h - 2*h - 42 = -2*f. Suppose 13 = -21*s + f*s. Solve -21 = n + 2*v + 2*v, -2*v - s = 3*n for n.
-1
Let y(g) = -g**3 + 37*g**2 - 68*g - 68. Let f be y(35). Solve 4*b - f*z - 2 = -4, 2*b = 2*z + 2 for b.
-2
Suppose 0*p + 36*p = 180. Solve -5*s + 10 = -s + z, 5*z = -p*s + 20 for s.
2
Suppose 0 = -2*d - 3*d + 90. Suppose -t + d = t. Solve -3*y - 3*s = 12 - 0, -4*y = -3*s + t for y.
-3
Let b = -51 + 55. Let h be 0 + b - (7 + 12/(-4)). Solve -4*w - 3 = -3*w + 4*m, -4*w + 4*m - 12 = h for w.
-3
Let j = 92 - 85. Let d = 3 + -3. Solve 4*l = -5*x - d - 1, 5*l - j = 2*x for x.
-1
Suppose -6*i + 15*i + 36 = 0. Let h = -2 - i. Solve -4*z + 16 = -m, -3*z + 27 = 5*m - h*m for m.
4
Let r(a) = 2*a**2 + 2*a - 13. Let c be r(5). Suppose -4*b + c = 3*n, -n = -5*b + 2*n + 52. Solve i = 4*d + 12 + 6, 0 = 2*i - 3*d - b for i.
-2
Suppose -22*i + 13*i = -18. Solve 5*g = i*x, -3*g + 0*x = 2*x for g.
0
Let l be -9*((-1068)/(-108) - 10). Solve 0 = -r - 4*i - 4, -8*i = -5*r - 9*i - l for r.
0
Suppose -q = -4*j + 24, -j - 4*q - 12 = -3*j. Solve 2*t + j = -3*s, -s - 17 = -3*t + s for t.
3
Let f(h) = -4*h + 8. Let z(q) = -q + 1. Let s(j) = -f(j) + 3*z(j). Let x be s(10). Solve 0*w + 15 = x*w + 5*b, -w = -b + 3 for w.
0
Let y = 41 - 61. Let b(m) = -m**3 - 19*m**2 + 22*m + 50. Let r be b(y). Solve -3*i = -l - 4*i - 2, r = -2*l - 4*i for l.
1
Suppose 3*l - 8 = -l. Suppose -3*f - f = -l*b + 1
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{
"pile_set_name": "DM Mathematics"
}
|
d + 3. Let h = -12 + 6. Is z(h) a multiple of 10?
False
Let k(v) = v + 3. Let h be (0*1/3)/3. Let l be 9 + (-1 - h) + 2. Does 8 divide k(l)?
False
Let g(u) = -u**3 - 9*u**2 + 27*u - 1. Is 18 a factor of g(-13)?
True
Let m = 7 - 5. Suppose -3*f - 2 = -2*d, 2*d + 4*f - m*f - 22 = 0. Is 7 a factor of d?
True
Let y be (-1386)/15 + 9/(-15). Let d = y - -159. Is d a multiple of 21?
False
Suppose 0 = -i + 3 + 1. Suppose i*m = -4*k + 20, 39 = 5*k - 4*m + 2*m. Is 7 a factor of k?
True
Let h = 9 + -7. Let i(l) = -10*l - 2. Let k be i(h). Let b = -16 - k. Is 6 a factor of b?
True
Let f be -5 + 2*2/(-2). Let w = f - -13. Is 2 a factor of w?
True
Let a(d) be the third derivative of d**6/120 - 3*d**5/20 + 13*d**4/24 - 5*d**3/3 - 4*d**2. Does 11 divide a(8)?
False
Suppose -3*x = 5*n - 264, -4*n + 117 = 3*x - 96. Does 17 divide n?
True
Does 38 divide (-6)/(-2) - (37 + -300)?
True
Let g be (13/2)/(5/(-110)). Let x = 200 + g. Is x a multiple of 19?
True
Let i = -7 - -12. Suppose i*l = 5 + 15. Suppose -4*s + 40 = -l. Is s a multiple of 7?
False
Let n(l) = -l**3 + 9*l**2 - 9*l - 7. Let r be n(7). Let v be r/(-6) + (-3)/9. Does 6 divide (2 + v/3)*33?
False
Let j = 5 + 1. Is (261/j)/((-3)/(-4)) a multiple of 14?
False
Let z be 130/(4/(1 - -1)). Suppose 0 = 3*p - z - 178. Does 27 divide p?
True
Suppose 6*g - 4*g - 132 = -4*w, -265 = -5*g + 3*w. Does 10 divide g?
False
Suppose -5*z = -0*l + 3*l + 1, -z - 11 = -3*l. Let w = z + 7. Suppose 212 = w*k - k. Does 18 divide k?
False
Let n = 45 - 26. Is 18 a factor of n?
False
Let h be (2/8)/((-4)/(-80)). Suppose 0 = 3*m - 4*m. Let x = m + h. Is x a multiple of 2?
False
Let t(u) = u - 5. Does 7 divide t(19)?
True
Suppose -5*d - 1 + 6 = -2*z, z = -3*d + 14. Suppose -3*a + z*g + 40 = 2*a, -4*g = 5*a - 76. Does 12 divide a?
True
Let o = 17 + -16. Let k(t) = 9*t + 4. Let n(i) = 27*i + 11. Let v(g) = -11*k(g) + 4*n(g). Is 9 a factor of v(o)?
True
Let k = 20 - 8. Let n = 24 - k. Does 4 divide n?
True
Suppose q - 217 = -2*q - 4*l, 0 = -q - l + 74. Is 12 a factor of q?
False
Suppose 3*p - 21 = 3*z, -2*p - 3*z - z = -8. Suppose 0 = 2*n - p*n + j - 17, -j = -5. Does 21 divide (4/n)/(4/(-126))?
True
Suppose 3*h = -q + 5*h + 40, 0 = 4*q + 2*h - 210. Is q a multiple of 7?
False
Suppose -4*w + 0*w - 2*l - 34 = 0, 2*w - 3*l = -5. Is (2 - 15)*(w - -4) a multiple of 13?
True
Let j(u) be the first derivative of u**3/3 - u**2/2 - u + 1. Is 5 a factor of j(-2)?
True
Suppose 3*j - j - 114 = 0. Does 4 divide j?
False
Let z(b) = b**2 - 3. Let h be z(-5). Suppose 4*a = h + 54. Is 8 a factor of a?
False
Suppose 180 = 3*h + 4*b, -h - 4*b = -3*h + 120. Is h a multiple of 15?
True
Let i(p) = -15*p**3 - p**2 + 1. Is 15 a factor of i(-1)?
True
Let o(u) be the third derivative of u**5/60 + 5*u**4/24 - 4*u**3/3 - u**2. Let d be o(-6). Is (-1)/(-1*d/(-8)) even?
True
Suppose 2*y = -y + 30. Suppose y - 63 = r. Let q = -35 - r. Does 18 divide q?
True
Let m be 2 + 2 + 0 + -2. Suppose -4*w = m + 2, 5*a = -w + 74. Is 15 a factor of a?
True
Let y(h) = -h**2 - 10*h - 9. Let c(k) = 7*k + 1. Let n be c(-1). Is 15 a factor of y(n)?
True
Suppose 5*c - 25 = 0, c - 15 = n - c. Let q = -2 - n. Suppose -5 = -g + q*v, 3*v = 2*g - 3 - 16. Is 13 a factor of g?
False
Suppose w = -4*w - p + 272, -232 = -4*w + 4*p. Is 9 a factor of w?
False
Let n = -12 - -17. Suppose -20 = -n*b - 5. Suppose -2*k = b*k - 95. Is 7 a factor of k?
False
Suppose 167 - 7 = 2*h - 2*f, -4*f - 83 = -h. Suppose -3*k + 32 = -h. Let c = -22 + k. Does 5 divide c?
True
Let z = 3 - 0. Let p(c) = c**2 - 2*c + 2 + 6*c + c - 2*c. Is 9 a factor of p(z)?
False
Suppose -10*l + 4*l + 96 = 0. Is l a multiple of 7?
False
Let g(w) = -w + 77. Does 3 divide g(25)?
False
Let z be (-3558)/(-9)*(-6)/(-4). Is z/7 + (-10)/(-35) a multiple of 34?
False
Let h = 12 - 0. Is h a multiple of 11?
False
Let h = -41 + 7. Let c = -25 - h. Does 5 divide c?
False
Let k = 178 + -114. Does 16 divide k?
True
Let j(d) = 78*d - 1. Let u be j(2). Suppose -u = -3*r - 26. Suppose 5*p - 82 - r = 0. Is p a multiple of 14?
False
Suppose 5*a + 2 - 17 = 0. Let v(h) = -h**2 - 2*h + 12. Let w be v(0). Suppose 0 = a*z - w - 3. Is z a multiple of 2?
False
Suppose 0 = 2*d - 5 - 1. Let s(r) = 0*r**d + 2*r - 6*r**2 - 9 - 4*r**3 + 5*r**3. Is 2 a factor of s(6)?
False
Let y(z) = z**2 + 7*z + 15. Let k(m) = -6*m**2 - 34*m - 76. Let x(r) = 2*k(r) + 11*y(r). Let i be x(10). Suppose b - i = 3. Is b a multiple of 6?
True
Is (-9)/(-15) + -1 + (-3348)/(-20) a multiple of 29?
False
Suppose q = -4*o + 10, -2 - 10 = -o - 5*q. Suppose 2*g = -3*h - h, -o*g = -2*h. Suppose -2*t + 0*t + 64 = g. Is 16 a factor of t?
True
Suppose 0 = 2*t - 5*t + 450. Is t a multiple of 30?
True
Let m(n) = n**3 + 7*n**2 + 5*n - 1. Let q be m(-6). Let z = q - 8. Does 17 divide z*((-37)/3 - -1)?
True
Let p(w) = w - 6. Let c be p(8). Suppose -c*g + y = -134, 2*y = -3*g + y + 211. Let f = -28 + g. Is f a multiple of 14?
False
Suppose 0 = -s + 5*s + 16, -8 = -r + s. Suppose 3*a - 97 + 5 = -r*o, 4*o - 5*a = 92. Does 22 divide o?
False
Suppose 38 = -4*i + 2*w, w + 2 = -1. Let s = 28 + -54. Let y = i - s. Is 4 a factor of y?
False
Suppose 3*j = -a + 23, 0 = -4*a - 2*j - 0*j + 142. Is 7 a factor of a?
False
Let n(k) = -k + 10. Is 2 a factor of n(5)?
False
Suppose -5*x = -9 - 16. Suppose 0 = x*d - 17 - 13. Is 3 a factor of d?
True
Suppose 4*s - 512 = 136. Is s a multiple of 18?
True
Let h = -3 + 6. Suppose 0*n - h*n = 312. Is (n/(-16))/(2/12) a multiple of 13?
True
Let k = -62 - -92. Is 2 a factor of k?
True
Let k = 12 - -13. Let u = -17 + k. Is u even?
True
Let f(i) be the third derivative of -i**6/120 + i**5/20 + i**2. Let r be f(3). Let l(o) = o + 20. Does 10 divide l(r)?
True
Suppose 2*j + 3 - 11 = 0. Is 6/(-4)*j/(-3) even?
True
Let y(h) = -h**3 + 9*h**2 + 5*h - 3. Let l be y(9). Suppose w - 38 = l. Is 20 a factor of w?
True
Is 3 + -6 - 2*31/(-2) a multiple of 24?
False
Let u(x) = x**3 - 10*x**2 - 11*x + 21. Does 12 divide u(11)?
False
Let k(a) = -a**3 + 7*a**2 - 3*a - 4. Let i be (-32)/(-12)*(-6)/4. Let z = 10 + i. Is 5 a factor of k(z)?
False
Let c be ((-2 - 1) + 0)*1. Let a be c - -2 - (-21)/(-3). Is 8 a factor of ((-10)/a)/((-2)/(-32))?
False
Let z(i) = i**3 + i**2 + i. Does 12 divide z(4)?
True
Suppose -3*i = 2*d - 147, 3*d = 4*i - 0*d - 196. Is 12 a factor of i?
False
Let h(c) = -6*c**2 + 3*c. Let g(b) = -b**3 + b**2 - b. Let a(k) = 4*g(k) + h(k). Does 7 divide a(-2)?
False
Suppose -i = 2*i - h - 15, -i + 5 = 2*h. Suppose 2*m - 52 = i*o, o - 6*o = -m + 26. Is 7 a factor of m?
False
Let y(k) = -3*k**3 - 4*k**2 + 17*k + 8. Is y(-5) a multiple of 21?
False
Let d(g) = 24*g - 16. Is 21 a factor of d(5)?
False
Suppose 16 + 64 = 5*i. Suppose 0 = 2*q - 5*h - 39, -q + h = -10 - 2. Let d = q + i. Is 19 a factor of d?
False
Is 18 a factor of (4 - 6)/((-1)/29)?
False
Suppose 2*a = 5*v - 51, 5*a = 5 + 5. Is v a multiple of 3?
False
Let l(m) = -m**2 + 2*m + 4. Let q be l(3). Is ((-3)/9)/(q/(-129)) a multiple of 11?
False
Let z(n) = 20*n - 46. Let g(o) = 7*o - 15. Let d(m) = 14*g(m) - 5*z(m). Does 15 divide d(0)?
False
Let n(j) = -j**3 + 13*j**2 - 2*j + 6. Let t be n(13). Is 10 a factor of 63*(t/(-6) + -3)?
False
Suppose 7*c - 8*c = -18. Is c a multiple of 9?
True
Let p(o) = -3*o - 5. Let d be p(-4). Let h(y) = -y**2 + 9*y + 7. Is h(d) a multiple of 10?
False
Let d(i) = i**3 - i**2 + i + 1. Let r(a) = -3*a**2 + a - 1. Let j(g) = d(g) - r(g). Let x be j(-2). Is 22 a factor of (44/5)/(x/10)?
True
Is 3 a factor of ((-468)/(-30))/((-3)/(-10))?
False
Let q(j) = j**2 + 6*j + 18. Is q(-8) a multiple of 21?
False
Let c(s) = s**3 + 7*s**2 + 4*s + 13. Is c(-6) a multiple of 13?
False
Suppose 6*l = 5*l + 42. Is l a multiple of 8?
False
Suppose 264 = 7*y - 3*y. Is y a multiple of 11?
True
Let f(b) = -b - 2. Let z be f(0). Let x = z + 6. Is x a multiple of 3?
False
Suppose -s = -56 + 9. Let g = s + -28. Is g a multiple of 10?
False
Let c be (-135)/20 - (-1)/(-4). Let a(s) = -3*s - 10. Is a(c) a multiple of 11?
True
Let i(a) = -a**3 - 3*a**2 - 3*a - 1. Let w be i(-2). Is (0 - -3)/(w/6) a multiple of 9?
True
Suppose -2*f - 3*r + 55 = 0, 4*f + 4*r - 112 = -0*r. Let n = 58 - f. Is n a multiple of 11?
False
Suppose 7 = 3*w - 8. Suppose 3*l = w*n - 60, -5*l + 36 = -2*n + 5*n. Is 9 a factor of n?
False
Is (-4)/((-12)/613)
|
{
"pile_set_name": "DM Mathematics"
}
|
the value of 35673/987 + 12 + (-624)/56?
37
What is (-1)/14*(-20)/(-7)*(-130 + (-107085)/(-825))?
2/49
44*(98 - (-521147)/(-5324))
5
413/(-59)*(-12 - -9 - -5)
-14
What is -13 - (-38)/(-1)*(-1195)/3346?
4/7
What is the value of 48/(-528) + (-9)/(-33)?
2/11
What is -3 - (498/(-581) + 369/63)?
-8
Evaluate (-1989)/1768 - (-19)/((-6080)/408).
-12/5
What is the value of 513/(-324)*16*(-36)/(-48)?
-19
What is 2 + 7 - ((16 - 1) + -9 + 621/230)?
3/10
What is (-6567)/2388*(40/(-36) + 2)?
-22/9
What is the value of 7473/(-83) - (-32679)/904119?
-90
((3424 - 3410) + (-34)/10)/(((-2)/20)/1)
-106
Evaluate 495/(-18) - (41/(-492))/(115/30 + -4).
-28
(51/(-17))/(-7*(-18)/5502) + (3 - 10)
-138
(1460/210 + -7)/((-28)/1848)
22/7
Evaluate 40 - (21 - (-25 + 35)).
29
Calculate (11 - (-5395)/(-560)) + (760/28)/(-19).
-1/16
Evaluate 5/35*91 - ((-56916)/(-4536) - 1/(-2)).
-1/21
Calculate ((-10)/(-8) - 1)*-6*1/9*330.
-55
What is the value of (-8)/(-30)*((-86)/((-6020)/2415) + (-18)/2)?
34/5
Calculate 277/(-831)*(-108)/2826.
2/157
What is the value of (53/(-5) - -13)*10595/(-326)?
-78
1/(-54)*1*3*((-2)/(-2) - -50)
-17/6
What is 1/(-21) + (-6787)/38871 - (-4)/(-9)?
-2/3
What is -14*(-6)/(-3)*(-2880)/1008?
80
What is -354*(-7 - 142/(-20))/(18/(-4)) + -8?
-2/15
What is the value of 8050/(-24150)*(-94 - 2)?
32
What is (((-38)/3)/(336/(-36) - -10))/(19/38)?
-38
Calculate ((-42)/4)/(48762/(-78948)).
17
Calculate 7/(399/18)*957/2871.
2/19
91/(-26)*(2 - 1)*(-432)/189
8
Calculate 6931/(-754) - (3/(-6)*-12 + -22 + 7).
-5/26
Calculate (329/21 - -4)/((-96)/576*(-4)/(-2)).
-59
Evaluate 154/(-5208)*-31*-3.
-11/4
Calculate 456858/10451*154/187.
36
-1 + (-8600)/125 + 102/(-510)
-70
Calculate (180/792)/(-14*(-5)/(-16)*80/(-56)).
2/55
Calculate 4/(2*-2) + 1843/49470*30.
2/17
Evaluate 2205/1288 - ((-1)/(-22)*-2 + 37710/212014).
13/8
What is (16/1488)/((-76)/228)?
-1/31
Calculate 2/37 + (-256256)/42328.
-6
Evaluate 50/(330/66) - (-1 - 20).
31
4*((-3)/11 + (-82555)/9196)
-37
What is the value of (-13)/322*-6 + (-256)/896?
-1/23
106794/(-545138) - (60/(-209) + -4 + (-312)/(-76))
-1/71
Calculate (15/(-63))/(85/(-102))*(-11)/(-440)*-7.
-1/20
What is the value of 191/(-3) + (612/153 - -46)?
-41/3
What is the value of ((-1475)/36875)/((-7)/(-15))?
-3/35
Calculate 9/(2 - 290/130).
-39
What is the value of 980/(-9) + -3 - (-63600)/71550?
-111
Evaluate ((-3956)/129 - -28) + ((-2)/14 - 66/(-21)).
1/3
520 + -530 - 33/(-4) - 366/(-8)
44
What is the value of ((-2)/(-34)*-10)/((-145)/(-58)*-3)?
4/51
Calculate ((-68)/34)/(100/(-2450)*21/18).
42
Calculate (446/27875)/(-1*4/40).
-4/25
What is -7 + 1350/190 - (66429/(-6270) + 11)?
-3/10
54 - 60 - ((-2 - (-729)/(-17)) + (-8)/68)
39
Calculate (-29 - (-365)/15)*(-132)/14.
44
What is the value of (-2870)/260 + (-45)/(-1170)?
-11
Calculate 1950/(-300)*(5 + -3) + 11 + 5 + -4.
-1
(17/(680/(-300)))/((-8)/(-32))
-30
What is the value of 69/(-46) + (-1450)/36 - 54/243?
-42
Evaluate ((-1161)/27 - -59) + 21.
37
(104/(-52))/(2/(-3)) + -4 + (-399)/(-413)
-2/59
(-10)/(40/(-3)) + 15*(-1764)/720
-36
16280/(-4144) + 1*(-8)/14
-9/2
Evaluate -32 - -3 - (-48988)/662.
45
Evaluate (-12)/16 + -7 + (258620/34320 - (-30)/195).
-2/33
Calculate 153/68*(-14 + (-1651)/(-117)).
1/4
What is (267/2937)/(4/44)?
1
What is the value of 32/(-6)*(1 - 19/(-76))*(-324)/(-45)?
-48
What is (-95)/9 - ((-230460)/1242 - -186)?
-11
((-16341)/32682)/((-9)/(-10))
-5/9
What is 2661/(-7096)*5/(-3)?
5/8
What is (-336)/(-30) - (-4650)/(-3875)?
10
What is 6/68 + 143598/(-2843556)?
2/53
61/20862*494*9 - 3*21
-50
Evaluate (-48 + (23 - -23))*(-18)/4*(-8)/312.
-3/13
Calculate (-126792)/(-35220)*190/(-9).
-76
What is the value of (-6 + 11)/((-69)/16422*-85)?
14
76*728/(-12103) - (2 - (-22)/(-14))
-5
What is the value of 28/(-2)*(-231)/110*(-690)/(-322)?
63
What is ((-15850)/(-200) + -79)/(80/(-192))?
-3/5
((-105)/245)/(6/(-462))
33
What is the value of ((-10)/267)/(20/(-6420)) - (120 + (-33 - 75))?
2/89
Calculate 6/100*(20984/(-258) - -83).
1/10
Calculate 355000/2702500 - (-2)/47.
4/23
What is the value of (81/(-36))/(-156 + 153) - 74/120?
2/15
Evaluate (-3)/((5301/620)/((-63)/14)).
30/19
What is (8/6)/(34122/(-13959))?
-6/11
Evaluate (147/59388)/(3 + 3 + 568/(-96)).
3/101
What is the value of -39 - 629/(-83 + 46)?
-22
What is ((-112)/9)/((-36)/162) - 16?
40
What is (7654/2530 - 3) + -10*(-47)/(-10810)?
-1/55
Evaluate (-2)/(-11) + (-36704)/407 + 131.
41
Evaluate (9/(-6))/((-11)/(-1) - ((-712)/(-48) - 4)).
-9
Calculate ((-240)/45)/16*-3*86 - 16.
70
((-84)/(-49)*70/(-75))/(-8 + (-126)/35)
4/29
Evaluate ((-3675)/72 - -26) + (-6)/(-144).
-25
What is (-60 - 5) + 2700/450?
-59
1362 + -1355 - (129 - (2/4)/(1/2))
-121
Calculate (-3)/(41 - 11040/270).
-27
Evaluate (60/(-4))/(2*114/144 - 5/4).
-45
What is (-1 - 23)*((4 - (-16 - -17)) + (-2 - -2))?
-72
What is 20*(-2227)/(-2620) - (123 + 0)?
-106
Evaluate (5/((-75)/156))/((-3576)/(-8940)).
-26
Calculate (1 - ((-142)/(-33))/((-8)/(-12)))/((-76)/418).
30
What is the value of (2 - (-6)/(-4))/((-297675)/9030 - -33)?
43/3
(4 - (1 - (-2725)/930)) + (-6 - 19)/150
-3/31
(-12)/(-119) + ((-14)/(-21) - (-34 + 2960/84))
-8/17
What is (-1113)/(-9275) - (-712)/(-100)?
-7
What is ((-553)/(-63) - 9) + (-342030)/17280 + 20?
-1/64
Calculate 1140/(-720) - 42/(-28).
-1/12
(-1968)/63*455/(-390) + (-40)/90
36
Calculate (-2 - -33) + (-27387)/895 + (1 - 218/(-5)).
45
Calculate (0 + -2 - 13/(364/(-64)))/(36/336).
8/3
Calculate 582/(-15) + 36 - 3/((-30)/208).
18
What is the value of 4216/(-1683) + 6*((-30)/176 - 19/(-152))?
-25/9
Calculate (5260/15780)/(1/(-114)).
-38
Evaluate (26 - -8)*20/(-25 - -5).
-34
Evaluate (-83 - (-264401)/4335) + 22.
-2/255
(-7 + 4556/648)/((-470)/376)
-2/81
(-2393897)/(-1382172) - (-4)/222
7/4
(65/45*-3 + -1 + 8/2)*24
-32
Evaluate (-416318)/8626 - (-53 + 5).
-5/19
Calculate (8/108 - 0) + (-13)/(-949)*0.
2/27
((-66)/(-110))/((-4)/200) - (18 + -1 - 30)
-17
((-54)/120*12)/((-572)/605 + 1)
-99
What is ((-64)/(-774))/4*(-2484)/3312?
-2/129
What is the value of 111450/104020*140/18?
25/3
Evaluate (-192038)/1505 - -132 - 336/65.
-10/13
What is the value of (350/40)/(113/(-452))?
-35
What is the value of ((-2300)/(-805))/((-75)/140)?
-16/3
Calculate (-43030)/(-120484)*108/(-5).
-54/7
Calculate (-675)/(-240)*37/((-111)/2).
-15/8
Evaluate 65/(-290) + (-80)/(-41440)*111.
-2/203
-106 - (97 - 96)*-89
-17
1200/(-880)*(-25)/((-875)/14)
-6/11
((-17)/2)/(60197/(-191214))
27
Evaluate (-1)/((742/(-84) + -7)/((-4)/12)).
-2/95
Calculate 1920/(-156) - (301/(-91) - -3).
-12
Calculate (-10)/6 - 156/(-8)*(-78)/27.
-58
Evaluate ((-9996)/224 - -44)/(10/92).
-23/4
Calculate (48/(-105) - 0)/(-11 - -13)*5.
-8/7
(2598 + -2595)/((-2)/(-7))
21/2
-119 - (2170/(-14) + 162 + (-4)/(4/(-5)))
-131
What is the value of (-2960)/40848 + (-6)/414?
-2/23
Calculate (-40950)/10530 + (-60)/54 + 0.
-5
Evaluate 139879/9759 - (-2)/((-1)/11*2).
10/3
What is (-1 - 46)*((-1770)/(-1593) + (-2)/18)?
-47
What is -3 - (0 - 4) - (973 - 887)?
-85
Calculate (-1 - -271)/((-10548)/(-2344)).
60
Calculate -4*(27 + (-850)/40).
-23
Calculate (-16)/(-130)*13065/(-2010).
-4/5
What is 56 - ((-7300)/73 + 76)?
80
What is the value of 8*(-4 - (-130)/40)*(-2)/8?
3/2
Calculate (-8910)/1188*(4/2 + 324/45).
-69
-2*(975/(-26) - -9) - (-39 - -43)
53
Evaluate 9/(-6)*(-154)/(-931) + (-28)/(-196).
-2/19
((-2)/(-7) + 48/(-60)*(-3440)/(-224))/(-38)
6/19
Calculate ((-231363)/(-82))/(-33) - ((2 - 0) + 15/(-6)).
-85
What is (-2)/(-21) + (19/(-3591)*1719 - -22)?
13
What is (-7745)/(-1549) + -4*(3 - 29/12)?
8/3
((-301644)/(-152))/147 + 14/(-4)
10
What is the value of 71 + (-100)/((-1400)/(-98))?
64
What is (88/(-20))/(((-19305)/(-1500))/(-117))?
40
Calculate (-11 + -5)*(53 + -230)/(-59).
-48
(-67 - 390/(-65))/(3 + -2)
-61
375245/80822 + 1/(-2 + (1 - 0))*5
-5/14
Evaluate -51 + 31 + 36888/1855.
-4/35
What is the value of ((-110)/(-24))/5*(-99)/((-22572)/608)?
22/9
What is (0 + (-3)/(-15))/(-8*51/(-6800)) + -3?
1/3
What is (82/1599)/(14/(-3) - -4)?
-1/13
Calculate (752/(-96) - -9)*-6 + -39.
-46
((-8)/3)/(20069/(-782691))
104
What is the value of -11*(-24)/17820 - 81/405?
-5/27
-27 - -50 - 26 - ((-695)/685 + -2)
2/137
Calculate (290/(-145))/(4 + 10/25*-11).
5
What is 13/(-32 - (-18744)/600) - (-2)/19?
-17
2031/9478 + 1/2*(-12)/(-7)
15/14
(-4)/(-58) - (45 - (-
|
{
"pile_set_name": "DM Mathematics"
}
|
ple of 3?
True
Let z = 1822 - 262. Suppose -z = -10*b - 0*b. Is 47 a factor of b?
False
Suppose 0 = -2*a - 3*j - 12, a - 20 = -2*a + 5*j. Suppose -1024 = -2*x - b, -5*x = -a*x + 5*b - 2560. Is x a multiple of 71?
False
Suppose k - 14 = -10, -3*x = 5*k - 692. Suppose 4*g - x = 4*o, -2*g + 4*o = o - 108. Does 3 divide g?
True
Let n(c) = c**3 - 5*c**2 - 7*c + 94. Is n(14) a multiple of 8?
True
Let l = -189 - -237. Suppose 10290 = l*b - 41*b. Is 46 a factor of b?
False
Let w(y) = 687*y + 4872. Is 21 a factor of w(0)?
True
Suppose -10*k + 30*k + 40*k = 1300920. Does 74 divide k?
True
Let z(s) = 68*s**2 + 33*s + 65. Let f = 305 - 307. Does 21 divide z(f)?
False
Let i = 11673 + -7891. Is i a multiple of 61?
True
Suppose 0 = v + j - 22, -2*v + 5 = -5*j - 4. Let h(g) = -v - 1 - 2*g + 6*g + 4. Is 8 a factor of h(11)?
False
Let f(m) = 4*m + 58. Let h be f(-10). Does 11 divide h/12*(-572)/(-6)?
True
Suppose -23*b + 61 = -445. Suppose -b*h + 3417 = -3689. Does 17 divide h?
True
Suppose 4*n - 756 = -0*n + 2*g, g - 4 = 0. Suppose 17*d - 13*d + 412 = 0. Let s = n + d. Is 44 a factor of s?
True
Let a = 665 - 611. Suppose a*v - 206 = 18370. Is v a multiple of 28?
False
Suppose s + 5*q = 1617, -3*s + 126*q + 4851 = 127*q. Does 77 divide s?
True
Is 2 a factor of (30 - (-72117)/(-81))/(1/(-6))?
True
Let r(z) = z**3 - 10*z**2 - 22*z - 27. Let t be r(14). Suppose 3*v - 160 = t. Is v a multiple of 7?
True
Is (5331/2 - 8/(-16)) + 7 + -2 a multiple of 74?
False
Suppose 2*a + 3*a = 0. Suppose 3*s + 2*s + 5*p - 1885 = a, 2*s + p = 758. Is 12 a factor of s?
False
Suppose -14*z = 2*p - 11626, 2*p - 8524 - 3050 = -z. Is p a multiple of 6?
False
Let j = 184 + -181. Suppose -4*b = 5*w - 840, -j*w + 5*w + 1050 = 5*b. Does 30 divide b?
True
Let n = -18484 - -18988. Does 36 divide n?
True
Let r(n) = -n**3 - 27*n**2 + 26*n + 127. Is r(-47) a multiple of 37?
False
Suppose 0 = -11*d - 1051 + 9851. Suppose 0 = 4*j + 16*j - d. Is j a multiple of 10?
True
Let n = -272 + 275. Suppose -164 = -2*v - 2*f, -f - 167 = -n*v + 71. Is 8 a factor of v?
True
Let o = -19 + 24. Let u(b) = 4*b - 10. Let v be u(o). Is 2 a factor of (v/1)/((-11)/(-22))?
True
Let i(f) = f**2 + f - 78. Let a be i(-7). Let p = a + 165. Is p a multiple of 43?
True
Is 13 a factor of 45 + -51 + 10 - -68*38/4?
True
Let u(i) = 2*i - 35. Let y be u(18). Does 9 divide -1 + y + 3 - 32/(-4)?
False
Let k(g) = -g**2 + 14*g**2 - 4*g**2 + 4*g**2 + g**3 + 4. Let v be k(-13). Let s = 19 + v. Is 8 a factor of s?
False
Let t = -5890 + 6450. Does 7 divide t?
True
Let n(t) = -65*t + 56. Suppose -19*c = 81 + 14. Does 23 divide n(c)?
False
Let f be (-1*5)/((-28)/252). Suppose f = -28*m + 31*m. Is (-336)/(-10) - (0 - 6/m) a multiple of 11?
False
Let j(h) = -h**2 + 10*h - 15. Let r be 40/6 - (-5)/15. Let o be j(r). Is 15 a factor of ((-208)/(-6) - (-2)/o)*1?
False
Suppose 2*y = -4*k + 30186, 15*k - 16*k - 2*y = -7542. Does 102 divide k?
True
Let c = -5680 - -6879. Is c a multiple of 13?
False
Suppose -31*n + 19*n = -8376. Suppose 10*y - 11*y + n = 0. Is y a multiple of 16?
False
Let v(q) = -q**2 - 13*q - 34. Let j be v(-6). Let b = 16 + 10. Suppose j*t - b = 6*t - 4*z, -z - 1 = 0. Does 2 divide t?
False
Let a = -5086 + 5266. Is a a multiple of 18?
True
Let j(g) = 163*g**2 - 13*g - 22. Suppose -u + 7 = -3*l + 5*l, -3*u + 2*l = 19. Does 20 divide j(u)?
False
Let s(z) = 2*z**2 - 49*z - 25. Let l be s(25). Suppose -3*b - 16 + 31 = l. Is 3 a factor of b?
False
Let j be 3/((-6)/(-45)*5/30). Suppose -9*t - j + 495 = 0. Does 10 divide t?
True
Let h(k) = k**3 - 4*k**2 + 6*k - 6. Let w be h(3). Suppose v + 8 = -w*v. Is 33 a factor of v/3*510/(-4) + -4?
False
Let t = 165 + -141. Suppose 0 = -t*g + 20*g + 424. Does 8 divide g?
False
Suppose -32 = -u - 92. Let w be ((-48)/u)/((-4)/(-50)). Suppose 0*q + q - w = 3*z, 4*q + 4*z = 24. Is q a multiple of 7?
True
Let g be (-1)/((-6)/918)*(0 + -1). Let z = 92 + g. Let s = 115 + z. Is s a multiple of 40?
False
Let u(o) = -o**3 + o**2 + 6*o + 10. Let j = -40 - -52. Suppose -j = 8*k - 5*k. Is u(k) a multiple of 8?
False
Let q(i) = -16*i - 136. Let y be q(-8). Is 12 a factor of -48*(76/y + 0)?
True
Let p(r) = 7*r + 16. Let b be p(-5). Let x = 23 + b. Suppose 0 = 4*a - 2*a + 2*l - 100, -208 = -x*a - 2*l. Is 19 a factor of a?
False
Suppose -3*b - 28 = -10. Let i be (-1)/((-18)/(-166)) + 14/63. Is (135/10)/i*b even?
False
Let n be (-923 + -7)*34/5. Let o be 7/((-112)/n) - (-6)/8. Suppose -5*v = v - o. Is v a multiple of 33?
True
Let x = -48 - -121. Let c = 75 - x. Suppose -3*u = 3*n - 132, u - c*n = 2*n + 69. Is u a multiple of 4?
False
Suppose 3*k - 10308 = 5*b, 4*b - 17180 = -5*k + 9*b. Is k a multiple of 11?
False
Let t = 1338 - -1245. Is t a multiple of 5?
False
Suppose -2*l - x = -33, 0 = 4*l - 0*x + 5*x - 69. Suppose -l*y + 2*y + 14168 = 0. Is 46 a factor of y?
True
Suppose 3*l + h = 2*h + 28, -l + 14 = 2*h. Is 47 a factor of 308 - 21 - (-3)/(6/l)?
False
Let y be 3 - 280/(-21)*(3 + 3). Let g = 199 - y. Is g a multiple of 30?
False
Let z(c) be the second derivative of -193*c**3/6 + 81*c**2/2 - 94*c. Is z(-3) a multiple of 14?
False
Suppose 10639626 = 272*t + 34*t - 4001862. Is t a multiple of 167?
False
Let y(x) be the second derivative of 8*x - 1/20*x**5 + 21/2*x**2 - x**4 + 7/6*x**3 + 0. Is 22 a factor of y(-13)?
False
Suppose 0 = 15*a - 2410 + 505. Suppose w = 376 + a. Is w a multiple of 9?
False
Let c be 5 - ((-330 - 3) + -9 + 4). Suppose r - 339 = -2*g, -r - 7*g = -6*g - c. Is r a multiple of 102?
False
Suppose -11900 = -38*q + 13*q. Let o = q + -376. Is o a multiple of 20?
True
Let v(c) = c**2 + 15*c + 53. Let g be v(-9). Is g/(-1)*2*(-1309)/(-34) a multiple of 3?
False
Suppose 4*y - 9*y = 2*l - 747, 5*l - 750 = -5*y. Suppose -140*s = -y*s + 2277. Is s a multiple of 21?
False
Suppose -4*x + 191491 = 12*x - 10877. Is 62 a factor of x?
True
Suppose 110 = 3*v - 3*m - 241, 4*m - 240 = -2*v. Is v a multiple of 18?
False
Let q be (4/3 - -1) + (-315)/(-189). Suppose -22*i + 23*i - 258 = 3*p, -q*p - 8 = 0. Does 21 divide i?
True
Suppose -14*i = -9*i - 15. Suppose -i*j - y = -7*j + 576, 288 = 2*j - 3*y. Is j a multiple of 24?
True
Suppose -4*u = 23*g - 20*g - 75029, 0 = -2*g + 3*u + 50042. Is g a multiple of 22?
False
Let j be (-187)/(3/(-27)*-3). Let b = j + 1071. Is 15 a factor of b?
True
Let o(q) = q**3 - 8*q**2 + 11*q + 2. Let l be o(6). Let b be ((-69)/12)/(l/32). Let h = b + -42. Is h even?
True
Suppose -2*b - 46*a - 5838 = -44*a, 2*a = b + 2910. Let g = b + 4256. Is 51 a factor of g?
False
Let n(b) = -b**2 - 4*b + 4. Let w be n(-5). Let z = -38 + 40. Does 12 divide (w + z)*25/1?
False
Let n = -32748 - -74042. Is n a multiple of 77?
False
Let j = -659 - -661. Suppose x + 3*g - 174 = 0, -x + j*g = -85 - 89. Is x a multiple of 29?
True
Suppose -4*l = -3 - 21. Suppose 3*d - l = 6. Suppose -d*p = -7*p + 24. Is p even?
True
Let l be 4*5*30/8. Suppose -13*h - 132 = -418. Let m = l - h. Is 4 a factor of m?
False
Suppose 0 = 4*i + q - 3354, 0 = -4*i + q - 1108 + 4458. Is 32 a factor of i?
False
Let p(g) = -g**3 + 14*g**2 + g + 56. Let k be p(10). Let l = k + 81. Does 63 divide l?
False
Suppose 22*u - 27*u = 18*u - 143244. Is 6 a factor of u?
True
Let b(d) = d**3 - 8*d**2 + 5*d + 22. Let w(j) = -j**3 + 13*j**2 - 9*j - 28. Let c be w(12). Is b(c) a multiple of 6?
False
Suppose -17*o + 28095 = -39612 - 32712. Is o a multiple of 11?
True
Let y = 1912 + -1682. Is y a multiple of 52?
False
Let l be 16/40 - (564/(-15) - 1). Let d = l + -19. Let y = d + 0. Is 5 a factor of y?
True
Let f(x) = 14*x**3 + x**2 + 7*x + 35. Let p be f(-4). Let n = -13 - p. Is 10 a factor of n?
True
Let p be 1/7*0 + 134. Suppose p = -i + 2*i. Does 16 divide i?
False
Let b(v) be the second derivative of -19*v**5/20 - v**4/6 + v**3/6 + 5*v**2/2 - v + 19. Let d(x) = -x**2 - 3*x - 2. Let i be d(-3). Is b(i) a multiple of 26?
False
Suppose 45*w - 42*w = g + 2166, -g - 3606 = -5*w. Does 4 divide w?
True
Let h = 23 - 17. Let r be -12*(-3)/h - (-1 + 5). Suppose -7*y = -r*y - 120. Does 3 divide y?
True
Suppose 5*b + 0*g - 2005 = -5*g, 810 = 2*b - 2*g. Let w = -106 + b. Suppose -w = -4*s + 5*r, -3*s = 2*r + 3 - 197. Is s a multiple of 10?
False
Is 14 a factor of (-931408)/(-216) - (-20)/(-270)?
True
Let l = 599 - -6711. Suppose -68*k = -73*k + l. Is k a m
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{
"pile_set_name": "DM Mathematics"
}
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t(q) = -3*q - 59. Let z(p) = -40*p - 60. Let k(j) = 3*j + 4. Let m(o) = 15*k(o) + z(o). Calculate m(t(g)).
-15*g - 295
Let a(x) = 17*x**2 - 1. Let y(b) be the first derivative of -25*b**3/3 + 2*b + 2750. Determine a(y(h)).
10625*h**4 - 1700*h**2 + 67
Let r(x) = 3*x + 76. Let m(g) = 293770 - 587544 - g**2 + 293774. What is m(r(d))?
-9*d**2 - 456*d - 5776
Let f(o) be the third derivative of o**5/30 - 204*o**2 + 3*o + 2. Let x(l) = -2*l**2 - 2618. Calculate f(x(u)).
8*u**4 + 20944*u**2 + 13707848
Let q(m) = 3*m. Let t be (52/(-6) - -4)*(-30)/35. Let h(p) = -t*p - 8*p**2 + 5*p - p. What is h(q(w))?
-72*w**2
Let b(a) = -101*a. Suppose 21*t - 2050 = -29*t. Let u(n) = t*n**2 - 28*n**2 - 9*n**2. Give u(b(v)).
40804*v**2
Let v(n) = 573*n**2. Let q(z) be the third derivative of 4 + 0*z + 1/12*z**4 - 13*z**2 + 0*z**3. Calculate q(v(c)).
1146*c**2
Let j(z) = 5*z**2. Let n(x) = -381448707*x. What is n(j(l))?
-1907243535*l**2
Let x(a) = -821*a**2. Let f(y) = -2834*y. Calculate f(x(s)).
2326714*s**2
Let b(u) = -18*u**2 - 2. Let j = 3389 + -3385. Let h(r) be the third derivative of -j*r**2 + 0 + 0*r**3 + 0*r + 1/24*r**4. What is b(h(n))?
-18*n**2 - 2
Let w(c) = -197*c**2 - 425. Let b(r) = 9*r - 4. Calculate w(b(p)).
-15957*p**2 + 14184*p - 3577
Let b(c) = 8*c + 236. Let s(y) = -3*y**2 - 5*y. Let x(i) = 2*i**2 + 3*i. Let p(q) = 3*s(q) + 5*x(q). What is b(p(a))?
8*a**2 + 236
Let k(z) = 4*z + 3. Let d(m) = -1. Suppose 0 = -f - 2*s + 12 - 4, 6 = 2*f + 2*s. Let w(j) = f*k(j) - 6*d(j). Let c(b) = -5*b. What is c(w(t))?
40*t
Let v(y) = -y**2 - 17*y - 22. Suppose -2*z - 8 = 0, -4*l - 2*z - 63 = -3. Let g be v(l). Let f(o) = -16*o - 11*o + g*o. Let b(x) = -3*x**2. Determine f(b(a)).
-9*a**2
Let k(m) = 321*m**2. Suppose 5*z - 2 = 3*w - 3, -w + 27 = 5*z. Let d(c) = -w*c - c + 9*c + 0*c. What is k(d(o))?
321*o**2
Let q(j) = -3*j. Let s(n) = -10*n**2 - 756*n + 2851. Give s(q(x)).
-90*x**2 + 2268*x + 2851
Let h(t) be the second derivative of -525*t**4/4 + 2*t - 4361. Let j(l) = 10*l. Determine j(h(i)).
-15750*i**2
Suppose z - 2*o + 5 = 2*o, 0 = -2*o + 8. Let r(j) = 7*j**2 + z*j**2 - 17*j**2. Let y(s) be the first derivative of -38*s**3/3 + 230. Calculate r(y(v)).
1444*v**4
Let l(g) be the first derivative of 10*g**3/3 + 2*g + 1253. Let n(v) = 5*v**2. Determine n(l(w)).
500*w**4 + 200*w**2 + 20
Let x(z) = 4*z**2. Let i(p) = -9155807*p**2. What is x(i(r))?
335315207284996*r**4
Let j(k) be the third derivative of -k**4/6 + 339*k**2 + 2*k. Let z be 6/9 + 2/6. Let a(q) = 5*q - z + 1. Determine j(a(u)).
-20*u
Let f(b) be the first derivative of -82 + 0*b**2 + b - 431/3*b**3. Let h(m) = 2*m**2. Give f(h(w)).
-1724*w**4 + 1
Let y(k) = -586645*k**2. Let d(t) = -47*t**2. Give y(d(m)).
-1295898805*m**4
Let h(y) = -479*y**2. Let t(w) = 4*w**2 + 6170301*w - 6170301*w. Determine h(t(f)).
-7664*f**4
Let s(i) be the second derivative of 0*i**2 + 0*i**3 + 1/12*i**4 + 0 - i. Let n(a) be the third derivative of a**4/24 + 12964*a**2. Calculate n(s(q)).
q**2
Let p(j) = -j. Suppose 1 = -c + 2*c. Let z be c + (-4)/(-8)*40. Let d(a) = -32*a**2 - 25*a**2 - z*a**2. Determine d(p(b)).
-78*b**2
Let i(k) = 2*k. Let j(t) be the first derivative of -13*t**3/3 + 37*t - 299. Determine j(i(x)).
-52*x**2 + 37
Let d(t) = -t + 1. Suppose 2*z - w - 64 = 0, -3*z = -4*z + 4*w + 18. Let s(c) = -70*c + z*c + 38*c. Calculate d(s(n)).
-2*n + 1
Let m(q) = 6*q**2. Suppose c - 51 = 4*c. Let r = 24 + c. Let s(h) = 8 - r - 1 + h. Calculate m(s(y)).
6*y**2
Let z(h) = -3*h**2. Let b(v) be the second derivative of v**4/4 + v**3/6 + 23*v + 25. Calculate b(z(r)).
27*r**4 - 3*r**2
Suppose 2*w = -3*p + 1, 4*w - 4*p = 17 - 5. Let v(r) = w*r - 270 + 133 + 137. Let o(a) = a**2 - 22*a. What is v(o(m))?
2*m**2 - 44*m
Let y(j) = j. Let v(n) be the third derivative of 223*n**5/30 + n**4/6 - n**2 + 177*n - 12. Calculate v(y(d)).
446*d**2 + 4*d
Let i(a) = 55*a - 176*a - 125 + 253 - 128. Let n(s) = -15*s. What is n(i(m))?
1815*m
Let c(r) = 3*r. Suppose -4*l + 3*s = -9, -6*l = -4*l + 5*s - 11. Let j(g) = 3*g - 6*g + l*g - 4*g. What is c(j(z))?
-12*z
Let k(h) = -346*h**2. Let p(v) = -57*v**2 + 320*v + 284*v + 292*v - 896*v. Determine k(p(j)).
-1124154*j**4
Let r(y) = 70*y - 34 - 75*y + 34. Let p(t) = 2*t - 442. Give r(p(c)).
-10*c + 2210
Let w(t) = t - 15. Let g(m) = -30*m**2 - 8*m + 8. Let a(i) = -11*i**2 - 3*i + 3. Let f be -1*(2 + (-6 - -12)). Let o(r) = f*a(r) + 3*g(r). Give o(w(p)).
-2*p**2 + 60*p - 450
Let z(t) = 18*t. Let k(h) = -1355726*h. Calculate k(z(l)).
-24403068*l
Let z(a) = 91459555*a. Let s(n) = -20*n. Calculate s(z(j)).
-1829191100*j
Let c(g) = 4*g. Let a(s) = 6 + 14 - 20 - 7*s. Let p(u) = -6*a(u) - 11*c(u). Let v(h) = -2*h - 17*h - 24*h + 5*h. Determine p(v(x)).
76*x
Let k(o) be the first derivative of -o**2 + 1. Let v(f) = 118*f**2 + f - 3. Let w(i) = 3031*i**2 + 26*i - 77. Let s(n) = -154*v(n) + 6*w(n). Give k(s(l)).
-28*l**2 - 4*l
Let q(z) = -41*z - 36*z - 30*z + 135*z - 30*z. Let a(d) = -d - 5. Let l be a(-7). Let w(p) = 11*p**l - 2 + 2. What is w(q(i))?
44*i**2
Let u(n) = 202*n - 73*n - 56*n - 71*n. Let g(p) = -155*p + 14. Give u(g(d)).
-310*d + 28
Let x(f) = 12*f**2. Let c(l) be the second derivative of l**5/15 + l**3/6 - 55*l**2/2 + 71*l. Let q(p) be the second derivative of c(p). Give x(q(v)).
768*v**2
Let v(z) = -z**2 + z - 1. Let r = 117 - 120. Let d(s) = s**2 - 2*s + 2. Let w(a) = r*d(a) - 6*v(a). Let k(j) = -9*j**2. Calculate w(k(m)).
243*m**4
Let w(p) = p. Let f(q) = 53*q. Let n(c) = 18*c. Suppose 60*g + 56 = 46*g. Let d(y) = g*f(y) + 11*n(y). Determine d(w(v)).
-14*v
Let i(t) = -12*t. Let u(w) = 8 - 4*w**2 - 15 + 5*w**2 + 27. Give i(u(z)).
-12*z**2 - 240
Let q(u) = -980*u. Let g(n) = 378*n**2 + 33. Let f(m) = -23*m**2 - 2. Let i(b) = -33*f(b) - 2*g(b). Calculate i(q(l)).
2881200*l**2
Let q = -75 + 72. Let h be q - (-6 + -1 + 6/3). Let y(b) = -4*b**2 - 23*b**2 + 0*b**h. Let r(p) = -p. What is r(y(g))?
27*g**2
Let b(u) = -u**2 + 7*u. Let q(c) be the third derivative of -11*c**2 + 0*c**4 + 0 + c + 0*c**3 - 1/30*c**5. Give q(b(m)).
-2*m**4 + 28*m**3 - 98*m**2
Let u(i) be the first derivative of 6*i**2 + 0*i - 29 + 0*i**3 + 1/12*i**4. Let d(q) be the second derivative of u(q). Let h(o) = 17*o. Give d(h(m)).
34*m
Let c(x) = -1553*x**2 + 18*x - 18. Let d(a) = -50083*a**2 + 580*a - 580. Let g(o) = -290*c(o) + 9*d(o). Let k(r) = 4*r**2. Give k(g(u)).
568516*u**4
Let w(h) = 2*h. Let k(i) = -2*i**2 - 23585974*i. What is k(w(o))?
-8*o**2 - 47171948*o
Let n(g) = -2*g + 400. Let c(p) = 64*p**2. Determine n(c(z)).
-128*z**2 + 400
Let v(c) be the third derivative of -3*c**5/40 + 79*c**3/6 + 4*c**2 - 5*c. Let q(b) be the first derivative of v(b). Let y(p) = 4*p**2. What is q(y(l))?
-36*l**2
Let m(g) = 760*g**2. Let q(i) = 429*i. Give q(m(r)).
326040*r**2
Let s(l) = -313*l - 16 + 648*l - 334*l. Let f(d) = d + 1 - 1 - 2*d. What is f(s(a))?
-a + 16
Let a(g) = -559*g. Let x(p) = 11901*p**2 - p. Determine x(a(z)).
3718836381*z**2 + 559*z
Let w(a) = 14*a. Let c(x) = -386314*x. Calculate c(w(t)).
-5408396*t
Let u(d) = -180643715*d. Let z(k) = k. What is z(u(n))?
-180643715*n
Let m(w) = -22*w**2 + 9. Let t(z) = 5*z**2 - 2. Let i(u) = -2*m(u) - 9*t(u). Let h(r) = 4*r**2 - r. Let n(b) = -h(b) - i(b). Let v(j) = -2*j. Give v(n(f)).
6*f**2 - 2*f
Let j(m) = -4*m**2 - 72. Let p(n) = 238*n - 942*n + 236*n + 236*n + 236*n. Calculate j(p(i)).
-64*i**2 - 72
Let v(k) = -6*k**2. Let o(b) = -11*b + 7. Let s(m) = 59*m - 6. Let f(w) = 6*o(w) + 7*s(w). What is v(f(j))?
-722454*j**2
Let m(j) be the second derivative of -13 - 1/6*j**4 + 0*j**3 - j + 0*j**2. Let d(l) = 6*l. What is d(m(i))?
-12*i**2
Let r(j) = -j**2 - 15*j - 8. Let b be r(-3). Suppose -4*v = -0*v - 204. Let m(n) = -b*n + 23*n - v*n. Let d(p) = -2*p**2. Calculate m(d(w)).
112*w**2
Let z(y) = 2*y + 2126. Let a(p) = 20*p**2 + 95*p. What is z(a(q))?
40*q**2 + 190*q + 2126
Let z(s) = -42*s**2 - 33*s. Let g = 41 + -8. Let p(q) = 5*q**2 + 4*q. Let n(l) = g*p(l) + 4*z(l). Let r(f) = -3*f**2 + 2*f. Determine n(r(k)).
-27*k**4 + 36*k**3 - 12*k**2
Let p(l) = -260*l**2. Let n(c) = -247*c - 2. Let z(u) = -10017*u - 81. Let i(j) = -81*n(j) + 2*z(j). Give p(i(f)).
-189540*f**2
Let p(t) = -3*t. Let h be 15/(-25) + (-1)/(5/(-123)). Suppose -7*q = q - h. Let g(m) = q + 0*m**2 - 3 - 13*m**2. Calcu
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{
"pile_set_name": "DM Mathematics"
}
|
+ v + 9, 0 = 2*k + 4 for s.
3
Let v(y) = -y**2 - 9*y - 10. Let h be v(-5). Solve 4*w = 4*q + 2 + h, -w - 2*q = 0 for w.
2
Let n be (64/(-6))/(5/(150/(-4))). Let i = n + -65. Solve 4*o - i = 3*t, 4*t + o + 4*o = -20 for t.
-5
Let w = 53 + -45. Suppose 0*b - 16 = -w*b. Solve -5*l = 2*s + 9, s - l - 3*l - b = 0 for s.
-2
Let u be (-4)/(-16) - (-9)/(-4). Let g(v) = -v + 2. Let y be g(u). Suppose 4*b + 4 = -2*q, y*q + 2*b = q + 2. Solve -3*l + 3 = -4*j, -4*l = 2*j + q*j - 4 for l.
1
Let n(q) be the first derivative of -q**3/3 - 7*q**2/2 - 7*q - 7. Let w be n(-5). Solve -3*l - a = 4, l + w*a = -0*l + 4 for l.
-2
Let w(u) = u**3 - 4*u**2 + 5*u - 2. Let h be w(4). Suppose 2 = 4*p + h. Let y be (2/2)/(p/(-8)). Solve k - b = y, -4*b + 5 = -5*k - 2*b for k.
-3
Suppose -32 = -14*r + 10. Let j be -5 - 37/(-2) - r/(-6). Solve 3*y - 2*o = 3*o - 19, 4*o - j = 2*y for y.
-3
Let u = -4 - -7. Suppose n = -3*c + 76, 3*n + 40 = 2*c - 7. Suppose 5*f - 5*z - c = 0, 9 + 8 = 5*f + 3*z. Solve -3*w - 3*q + 3 = 0, -u = -7*w + f*w + q for w.
1
Let m be (6/4)/(24/64). Suppose -2*d = 3*i - 13 - 5, 5*i - 8 = m*d. Solve p + 15 = -5*u, -i*p + 32 = -2*u - u for p.
5
Suppose -3*t - 4*k = -1 - 16, t = -k + 5. Solve t = l + l + a, -5*l + 9 = a for l.
2
Suppose 28*f - 12 = 24*f. Let m = 17 + -10. Let l be (-1*m)/(-1) - 1. Solve -d = f*a + 7, l*a - 5*d = 3*a - 19 for a.
-3
Let p = -1 - -3. Suppose 0*f + p*f = -2*s + 14, -19 = -f - 5*s. Suppose 18*t - 71 - 19 = 0. Solve 2*m - 5*m + t*i - 8 = 0, f*i = -2*m + 24 for m.
4
Suppose 20 = -24*d + 19*d. Let t(x) = x**3 + 4*x**2 - 2*x - 3. Let f be t(d). Solve 4*z + h = 2*z - 5, f*z + 4*h + 11 = 0 for z.
-3
Let a = 41 + -37. Solve 0*x + 15 = 2*x - 5*d, a*x + 35 = -3*d for x.
-5
Let n = 776 - 758. Solve 5*w + 5*y - 2 + 37 = 0, 2*w + 3*y = -n for w.
-3
Let v be ((-800)/15)/(-8) - (-1)/3. Suppose v - 7 = 4*h. Solve h = 2*g + y, -3*y - y = -2*g for g.
0
Suppose 0 = -8*t + 7 - 63. Let c be (2 - 1)/(t/14)*-2. Solve -c*x = 2*p - 4, -x + 12 = 2*x - 3*p for x.
2
Suppose 2*w + 6*o - 4*o = 10, -4*o + 20 = 0. Suppose -x + 5*n + 17 = w, 5*x + 3*n + n + 2 = 0. Solve -20 = -5*c - 5*b, x*b - 1 = 2*c - 5 for c.
3
Let g = 39 - 31. Suppose -3*m = -g*m + 15. Solve -m*n - a = 10, -3*a + 1 = n - 1 for n.
-4
Let k = 48 - 49. Let p = 12 + k. Solve 0 = 2*v - 3*r + p, -3*v - 3*r + 3 = -3 for v.
-1
Let q(k) = -k**2 + 1. Let h = 5 + -3. Let a be q(h). Let p = a + 7. Solve -p*t - o + 14 = 0, 5*t + 0*t + 2*o - 16 = 0 for t.
4
Let g = -51 + 47. Let p be 2/12 + g/24. Solve p = -m - 3*k - 15, 3*k - k + 10 = 0 for m.
0
Let s(m) = m**2 + 2*m. Let i be s(-3). Suppose 4*t = i + 5. Suppose 2 - 8 = -t*u. Solve 2*y = 3*y + 3*c + 7, 32 = 4*y - u*c for y.
5
Suppose -11 = -2*o + 33. Let p = 38 + -50. Let t = p + o. Solve 4*i + 2*v + 26 = 0, 4*i + 4*v = -22 - t for i.
-5
Let n(s) = -s**2 - 8*s + 158. Let x be n(9). Solve 20 = -d - 4*q - q, 2*d - x*q - 20 = 0 for d.
0
Let x = 276 + -273. Solve -4*j = -x*g - 4, 4*g = -5*j + 7*g + 2 for j.
-2
Suppose 3*a = -4 + 13. Suppose -7*x = -a*x - 76. Suppose x = 5*q - 2*i, 3*q + 3*i + 0 - 24 = 0. Solve q*c - g - 21 = 0, -3*g + 39 = 3*c + 12 for c.
5
Let u be (3 - 2 - 1) + 3. Let b be -1*4/(16/(-4)). Let y be (10/b - -2)*(-1)/(-2). Solve 0 = 3*k + 5*l - 13, -5*k - 2*l + u = -y for k.
1
Let h = -62 - -87. Let q = -22 + h. Solve q*w - 3*n = 3, -4*w - 5*n = 3 + 11 for w.
-1
Let l be 105/12 + 3/12. Let f be (0 + 1)/(l + -8). Let s be 33/21 - 3/(-7). Solve -5*m = -a - f, -s*m + 7 = a + m for a.
4
Let b = -11 - -13. Suppose -3*m + 27 = 4*d, -20 = -6*m + b*m. Suppose 6 = d*s - 0. Solve 2*a = -t - 3, -4*a - 31 = -s*t - t for t.
5
Let n(z) = -8*z - 4. Let x be n(-4). Suppose x = 2*f + h - 11, 3*f + h = 60. Let g = -17 + f. Solve 5*y - 3*j + 42 = 7, 0 = -5*y - g*j for y.
-4
Let i be (-110)/(-77) + (-8)/(-14). Solve -i*x + 11 = -k + x, 0 = -5*k + 4*x for k.
4
Suppose -x + 20 - 8 = -3*n, 5*x + 16 = -4*n. Let v = x - -2. Solve -z = -v*w + 2 - 7, 4*w - 5*z = -13 for w.
-2
Let v(l) = 7*l + 12. Let y be v(-1). Let q = -3 + 4. Let p = 2 + q. Solve y*f + 6 = -k - p, -4*f = -4*k + 12 for k.
1
Suppose 42*z + 43*z - 170 = 0. Solve -2*p = z*u + 8, 4*p + 7 = -3*u - 7 for u.
-2
Let t(o) = 2*o**3 - 9*o**2 - 2*o - 10. Let p be t(5). Solve v + s = 4*v + 13, 2*v = p*s - 13 for v.
-4
Let k(q) = -2*q + 8. Let s = 60 - 56. Let y be k(s). Solve -3*x - 1 + 4 = y, 0 = 3*r + x - 16 for r.
5
Let a = 17 - 21. Let j(y) = y + 8. Let q be j(a). Solve 4*m + 3 = -4*r - 1, -5*r + q*m = -4 for r.
0
Let r be (-6)/7*238/(-102). Solve -o + 2*w = -2*o - 5, 0 = 3*o - r*w + 15 for o.
-5
Let s be 3*1168/336 - (-3)/(-7). Solve s = -c + 3*c - 3*w, -c + 19 = -5*w for c.
-1
Suppose -2*p - 23 = -7*p + u, 9 = -3*u. Suppose -7 = 3*g + p*h, 3*g - g - h = 10. Solve f - 2*o - o = 2, -2*f - g*o - 5 = 0 for f.
-1
Let t be (210/(-120))/(1/(-12)). Solve -4*r - q = 5, -t = 3*r - 8*q + 3*q for r.
-2
Suppose 15*y - 49 = -19. Solve y*t + 1 = 2*l + 5, 0 = 4*t - 16 for l.
2
Let g = 14 + 38. Suppose -5*h + g = -h. Solve -h = -5*n - u, -2*u = 4*n + 2 - 16 for n.
2
Suppose -6 = -d + 2. Let m be 0/((-1)/((-4)/d)). Solve 3*b + 1 = 4*u - 10, m = 2*u - 2*b - 8 for u.
-1
Let o be (-2)/(-4) + 98/28. Solve 6*q - 3*q + o*n = 29, 2*q - 11 = -n for q.
3
Suppose 4*s = 3*s. Suppose -7*i + 56 = -49. Suppose 5*c - i = n, 0*c + 3 = c. Solve s = 2*f - 4*y + y, -f + 3*y + 3 = n for f.
-3
Let m = 1 + 2. Suppose z = -c - 3*z + 16, -2*z - 6 = -3*c. Solve -c*s = 2*a + 28, -2*a + 1 = m*s - 6*a for s.
-5
Suppose -3*n = 9, -5*g + 9*g - 16 = -4*n. Solve g = -5*z + 2*k + 30, 4*z - 3*k = 24 for z.
3
Let m be -7 + 3 + 6 - (6 + -7). Solve 3*a - 4*f = -m, -4*a + 2 = -4*f + 6 for a.
-1
Let s = -1912 - -1915. Solve 0 = -5*h - i - s*i + 11, -h = 3*i for h.
3
Let u be 5 + 0 - (-8 + 9). Let y = 8 - 9. Let r be (2 + -1)/(y/(-9)). Solve -4*m - r = -3*j, -m - 3 = 4*j + u for j.
-1
Let q be (0 - 3)*(-78)/18. Suppose -5*f = -q*f + 40. Solve -14 - 5 = -f*b + v, -b - 5*v = -9 for b.
4
Let l(q) = q**3 - 16*q**2 - 16*q - 17. Let i be l(17). Suppose r - 2*o = 3, 4*o + 21 = 5*r - i*o. Solve -5*f = p - 2, -r*p - 5*f + 8 = -p for p.
2
Let g be 2/8 + 14/8. Suppose 0 = 4*o - 9 - 47. Let t be (-4)/(-7)*49/o. Solve t*j + 5*b = -15, -3*j - 7 = 3*b + g for j.
0
Let y(k) = 11*k - 183. Let z be y(17). Solve 5 + z = 4*l - a, 3*a + 1 = -l for l.
2
Let g be (0 + -9)/(-1) + -2. Suppose 0 = 5*n - g - 8. Suppose -3*w = 4*h - 25, 2*w - 20 = 6*w. Solve -n*k + h = 4*i - 14, 3*i - 13 = -k for k.
4
Let s = 1291 + -1287. Solve -3*l = s*q + 2*l, 0 = -5*q + l for q.
0
Let j be ((-32)/(-20))/(2/(-10)). Let w(o) = o + 11. Let r be w(j). Suppose 23 - 1 = h + 2*f, 121 = 4*h - r*f. Solve -4*z = 4*v + h, z = -4*z + v - 11 for z.
-3
Suppose 14*g = -764 - 188. Let c = 68 + g. Solve c = -v + 2, 5*v = 2*m + v + 10 for m.
-1
Let g(d) = -2*d + 28. Let u be g(15). Let o be u + 4 - -2 - 0. Solve -4*j - 3*q - 8 = q, -o*j - q = 14 for j.
-4
Let q = -1883 + 1887. Solve -16 = 4*x, -3*w - q*x + x - 12 = 0 for w.
0
Let s be -18*5/(-4)*(-6)/(-9). Suppose 10*u = 5*u + s. Solve 2*l = -3*q - u*l + 15, -5*q = 4*l - 12 for q.
0
Suppose -5*l = 4*m + m - 5, -2*m - 18 = -2*l. Let s be 6 - 0 - 1*4. Suppose 11*p - s = 10*p. Solve g - 8 = l*a, -3*a = -0*g - 2*g + p for a.
-2
Let f = 59 + -42. Let x = -5 + f. Let q = -7 + x. Solve 2*h + 22 = 5*i, 0 = -q*i + 10 + 10 for h.
-1
Suppose 4*p - 72 = 4*q, 4*p - 9 = 3*q + 60. Suppose -p = -0*n + 5*n. Let u(t) = t**2 + t - 4. Let d be u(n). Solve 4*k = f + 3, -3*f + d*k - 7*k = 9 for f.
-3
Suppose 6*m + 122 + 28 = 0. Let f = m - -29. Solve 2*i = -3*k, 4*k + 0*k - f*i = 0 for k.
0
Suppose 329*t = 358*t - 58. Solve b + i - 13 = -t*i, 0 = -3*i + 12 for b.
1
Let l = -859 + 872. Solve -14*k + l*k - 1 = -2*q, 4*q = -8 for k.
-5
Suppose 0 = -4*u + 5*s + 40, 3*s = -20 + 8. Solve 3*h - 3 = -3*n, -u*n - 6 = h + 5 for h.
4
Suppose -4*g = -4 + 28. Let q be -6*(-1 - 2/g). Solve -q*p - 5*w = -p + 12, -5*w + 8 = -2*p for p.
-4
Let j = 29 - 3. Let w = -23 + j. Solve 0*h + 5*h = w*s + 6, -5*s + 2*h = 10 for s.
-2
Let v = -8 - -13. Suppose 8 = 3*g - 2*x, v*g + x - 5 = 4. Solve g*y = -5*a, 3*a - 2*y = -2*a - 20 for a.
-2
Suppose 4*a - 4*v - 16 = 20, 4*a - 2*v - 26 = 0. Let g be (-26)/(-12) - a/24. Solve -11 = -g*w + 5*h, -3*h + 0 = 3 for w.
3
Let q be ((-10)/3)/((-4)/6). Suppose 15*f + 16*f - 1
|
{
"pile_set_name": "DM Mathematics"
}
|
ommon multiple of 10 and w(n)?
30
Let p = 287 + -217. Calculate the smallest common multiple of p and 4.
140
Let t = -206540 + 575213912/2785. Let y = -303709/33420 + t. Find the common denominator of 230/68 + 3/(-3) and y.
204
What is the common denominator of 45/28 and (6 + 111/(-18))*-75?
28
Let p = -31 + 18. What is the smallest common multiple of (-11)/p - 4/(-26) and (2/(-4))/((-2)/12)?
3
Suppose 10 = -2*l - 6. Let f = l - -14. Suppose f*i = 2*i + 28. Calculate the least common multiple of i and 1.
7
Suppose -2*y + 14 = -u, 0 = -u - 5*y + 20 - 6. Find the common denominator of (-1)/9*(-30 - (u + 5)) and 73/9.
9
Find the common denominator of 1/(-3)*(-8)/(-48)*-15 and (14/27)/(4/(-51)).
18
What is the smallest common multiple of (-23)/(-8) + (-34)/(-272) and 4?
12
Let z be ((-32)/20)/(5/(-25)). Calculate the lowest common multiple of 20 and (-220)/z*(-8)/5.
220
Let v = -7884 + 63157/8. Calculate the common denominator of v and 103/20.
40
Let j be 19/(-2) - (-2)/(-4). Let a = j - -12. Calculate the common denominator of -63/16 and a.
16
Let l be 32853/33*-3 - 4. Let b = 2993 + l. Find the common denominator of b and -73/46.
506
Let d be (-15591950031)/(-28)*4/78. Let l = -28537157 + d. Let s = 19525 - l. Find the common denominator of -31/12 and s.
156
Let k = 1696261 - 10200323/6. Let c = k + 3781. Calculate the common denominator of (6/8)/(480/864) and c.
60
Suppose -4*a = 4*n - 512, 5 - 123 = -a + 4*n. What is the least common multiple of 126 and a?
126
Suppose -3*a = 2*o + a - 336, o - 168 = 4*a. Calculate the least common multiple of o and 12.
168
Suppose -19 = 4*r + 37. What is the common denominator of (-10)/(-25) - 586/40 and r/35*115/4?
4
Suppose 0 = -4*u + 34 + 30. What is the common denominator of (-2)/u*1308/(-15) and 1/(4/32) + -25 + 1275/120?
40
Suppose 4*w - 3*c = 37, -2*w + 6*c - 2*c + 26 = 0. Let f be (14/35)/((-2)/(-90)). Let x = -10 + f. What is the smallest common multiple of w and x?
56
Let v = 6 + 0. Let n(h) be the first derivative of h**4 - 4*h**3/3 + h**2 + 4. What is the lowest common multiple of n(2) and v?
60
Suppose g - 19 = 3*q - 2, 2*g + 16 = -4*q. Let x(z) = 2*z**2 - 3*z - 40. Let b be x(-11). Let y = 245 - b. What is the least common multiple of y and g?
10
Let d(f) = -f**2 + 10*f - 42. What is the common denominator of d(8) and 71/10?
10
Let g = -101/3 - -271/6. Let l(b) = -32*b**2 + 8*b - 1. Let k be l(9). Let p = -15199/6 - k. What is the common denominator of p and g?
6
What is the smallest common multiple of ((-12)/(-16))/((10/(-48))/(-5)) and 14?
126
Let k be 5*1*(-54)/(-30). Suppose -8*h = -k*h + 12. What is the lowest common multiple of 20 and h?
60
Let q = -16/1787 + -9637227/7148. Let v(g) = 55*g**2 - 3*g + 7. Let a be v(5). Let b = q + a. Find the common denominator of b and -5/14.
28
Let z be (-27811)/3486 + (-1)/1. Let o = z - -12/83. Calculate the common denominator of o and (-83)/(-4) + 1 - 1.
12
Suppose -3*h = -4*h + 6. What is the lowest common multiple of h and (20/(-6))/(1/(-3))?
30
Let d(l) = -l**2 - 18*l + 73. What is the smallest common multiple of d(-21) and 270?
270
Suppose 0 = -5*r + 2*l + 27 + 14, 5*r + 2*l - 49 = 0. What is the lowest common multiple of r and 14?
126
Calculate the common denominator of 5/(-70)*-4 - (-856)/42 and -47/27.
27
Suppose -2*z - 5*w - 7 = 0, -4*z - 4*w = w - 1. Suppose 115 = -2*g - 3*g + r, -20 = -z*r. Find the common denominator of g and 52/11.
11
Let o = -5561239/124920 - -14564/347. Let d = 12039 + -541969/45. Let f = o - d. Calculate the common denominator of f and 67/20.
120
Let m(o) = -5*o - 6. Let n be m(-8). Let q = n - 16. What is the common denominator of ((-50)/35)/((-4)/q) and -99/4?
28
Let s be (-1 + 3)*(-1 + (-4)/(-2)). Suppose -x + 15 = -s. What is the smallest common multiple of x and 3?
51
Suppose 0 = 4*g - 5*s - 13, -4*s = -2*s + 2. What is the common denominator of -101/6 and (1/54)/(g*(-5)/1160)?
54
Suppose 4 = h - 14. Suppose 0 = -5*y + 3*m - 6, 0 = -3*y + 4*m - 2 + 5. Calculate the least common multiple of -1*(0/y + -16) and h.
144
Let f = -284/153 - -7/17. Let r = 50562/7 - 7217. Find the common denominator of r and f.
63
Let c = -21712616961683/5228 - -4153140175. Let u = 1/1307 + c. What is the common denominator of u and 53/7?
28
Let i(w) = w**3 + 38*w**2 - 30. Let q be i(-38). Suppose 4*k + 31 = 87. What is the common denominator of 1/(1 + k/q) and 16?
8
Let i = -2477 - -54559/22. What is the common denominator of i and -63/4?
44
Let d(n) = 3*n - 36. What is the least common multiple of 4 - (-69)/(-9)*-3 and d(19)?
189
Suppose 0 = -4*v + 4*s - 504, -v - s = 4*s + 126. Let r be (-1)/v*129 + -1. Let w = -803/210 + r. Calculate the common denominator of -45/8 and w.
40
Suppose 0 = -11*f + 12*f + 6. Let h(q) = 4*q**2 - q - 4. Suppose 5*d + 12 = d. Calculate the common denominator of f and h(d).
1
Let f be (-4)/(-676687) + -4 + 4. Let l = f + 21258122081/4060122. Let j = 5221 - l. Find the common denominator of -62/5 and j.
30
Let i(s) = -2 + 10*s + 17*s + s + 4*s. Let n be i(3). Suppose -n = -5*u - 4*p + 28, -2*p - 82 = -4*u. What is the smallest common multiple of u and 10?
110
What is the common denominator of 145/72 and (8 + 1309/(-70))/((-12)/5)?
72
Suppose -13*c = -92 + 40. What is the least common multiple of c and 12?
12
Suppose -2*w + 4*y - 664 = -1872, 4*w - 2386 = 2*y. Let d = -1400 - -22391/16. Find the common denominator of 2259/w - 2/3 and d.
176
Let i be 71023/24 + 6/18. Let r = i + -2966. Find the common denominator of r and -35/6.
24
Suppose -202 - 2 = -4*y. Suppose 3*p - 5*a = 8 + y, p - 16 = -2*a. Suppose d = 3*t + 2, -2*d - t - 30 = -6*d. Calculate the least common multiple of p and d.
72
Let s = 286423/61 - 4695. Find the common denominator of -21/2 and s.
122
Let p be (-2)/(-1) + (-184)/(-4). Suppose 2*r + p = -2*r. Find the common denominator of (-145)/r - (1 - -2) and 3/8.
24
Let q = -1/11566 + 590033/1931522. Calculate the common denominator of 43/5 and q.
835
Suppose -5*d = x - 7851, 3*x + 21 = 9. Let z = d - 3207/2. Let i = -1839/2 - -901. Find the common denominator of i and z.
2
Let b = 13427/8 + -1682. What is the common denominator of 123/20 and b?
40
Let z = -18 - -27. Let y(d) = -d**2 + 13*d - 6. What is the least common multiple of y(z) and 33?
330
Let y = -39 - -19. Calculate the common denominator of -59/16 and (4 - (-6)/y) + 1.
80
Suppose -4*h = -3*l - 53, 3*h = -0*l + 2*l + 40. Suppose 2*c = -0*c - f + 39, c - 12 = f. Calculate the least common multiple of c and (24/h)/(((-30)/(-35))/3).
102
Suppose 5*k - b + 15 = 50, -2*k + 4*b = -32. Find the common denominator of -49/16 and (1692/216)/(0 - 14/k).
112
Let c = 2077291/224 - 9274. What is the common denominator of c and -13/28?
224
Let y = 26 - -4. Find the common denominator of 1210/y - (-2)/3 and (-38)/(-9)*(1 + -3).
9
Suppose 3*h = 3*p + 3, 0 = 2*p + 3*h - 4*h. Let o = p + 5. Calculate the smallest common multiple of o and 6.
6
Suppose 4*i + 4*z = 5*z, 2*i + 10 = -2*z. What is the lowest common multiple of 12 - -4*(i + 2) and 16?
16
Calculate the common denominator of 1353/120 - (-2 + 57/24) and -17/92.
460
Let j = -18 - -29. Let u = -19 + j. Find the common denominator of 4/9 and u.
9
Let f(w) = w**2 - w - 4. Let m be f(3). Let r = -5 + m. Let y = r - -19. What is the smallest common multiple of y and 12?
48
Let j be 4/(-3)*702/(-12). Suppose h + 2*m - 34 = 0, 3*m - j = -2*h + m. Calculate the smallest common multiple of 6 and h.
132
Let j(h) = -h**2 - 12*h + 8. Let n be j(-11). Suppose 5*x = x + 68. Let p = n - x. What is the least common multiple of 36 and p?
36
Let q be (-381708)/162*(0 + (-2)/312). Let x = -22/351 - q. Calculate the common denominator of 145/18 and x.
18
Suppose 0 = -5*p - 2 + 7. Suppose -t = -4*h + 13, 0*h = -2*h + 3*t + 19. Calculate the lowest common multiple of p and h.
2
Let t = -10534 + 221162/21. What is the common denominator of t and (2/3)/((-127)/(-43) + -3)?
21
Suppose 20 = 2*h - 2*d - d, 4*d = -4*h. Suppose -20 = h*j - 40. Find the common denominator of 1 + j/(-20)*82 and -7/24.
24
Let g be (-4 + 18)*(3 + -1). Suppose g = 3*o + 4. Suppose 3*a = 5*v - 8, -4*a + o = -2*a. Calculate the lowest common multiple of v and 4.
4
Let u = -58 + 34. Let n = u - -25. Calculate the least common multiple of (12/(-12))/(
|
{
"pile_set_name": "DM Mathematics"
}
|
= -4*o + 4*g - 8 - 0, -w*o - 3*g = -22 for o.
2
Let a = 14 + -9. Solve 0 = -5*w, a*x + 15 = -5*w - 0*w for x.
-3
Let q(g) = g**2 - 9*g - 10. Let p be q(10). Suppose p = -m - 3 + 6. Let a(j) = 14*j + 1. Let t be a(1). Solve -m*d + 15 = 3*y, -2*y = 3*y - t for d.
2
Let z(v) = -v + 3. Let h be z(-1). Solve -4*m + b = -4, -2*b = -m - h*m + 8 for m.
0
Let y(j) = -j**3 - j**2 + j - 2. Let g be y(0). Let d be -4 - (-6)/(-2) - g. Let s be (-38)/(-10) + (-1)/d. Solve 0 = s*v - 12, 4*k - 2*v - 19 = -3*v for k.
4
Suppose 3*v - 10 = 5*l, l - 8 = 3*l - 2*v. Let s be (26/l*-1)/(-2). Solve f + 25 = 5*t - 1, 3*f - 2*t + s = 0 for f.
-1
Let w = 133 - 82. Solve -3*s = -f - 4, w = 4*s + 5*f + 14 for s.
3
Let i = 5 - 1. Solve -6*p - 7 = -i*d - 7*p, 2*d = -2*p + 8 for d.
1
Let f(q) be the second derivative of q**3/3 - q**2/2 - 2*q. Let l be f(2). Let m be 6/4*4/l. Solve 17 = -5*v + 4*g, 2*v - 6*g = -2*g - m for v.
-5
Let d(b) = 3*b - 6. Let x be d(4). Let w(l) = l**2 - 8. Let t = -20 - -14. Let z be w(t). Solve -4*u = -4*f + z, -3*u - x = -0*u for f.
5
Let j be (-20)/(-6)*18/12. Suppose 5*d - 5 = j. Solve -z + u + 9 = 0, 5*u = -5*z - 7 + d for z.
4
Let i = 23 - 10. Solve 0 = l - 3*a + i, 6*l - 2*l = -3*a + 8 for l.
-1
Let g(i) = -5 - 2*i + 0 + 1 + 1. Let m be g(-7). Solve -4*o = -4*v - 4, -4*v - 2*o + 9 = -m for v.
3
Let u = -43 - -45. Solve -3*t + w = 12, -2*t - 10 = 3*w - u for t.
-4
Suppose 0 = 5*b - 0*b + c + 25, -b - 2*c - 5 = 0. Let s(n) = -n + 4. Let m be s(b). Solve -p = -d, -2*p + m = p for d.
3
Suppose 3*c = c - c. Let o be 12/7 + 2/7. Let g = -18 + 19. Solve o + c = -2*i + 2*v, 2*i - v = -g for i.
0
Let d = -3 - -7. Suppose -3*a + 8 = 4*s - d*a, 2*s + 5*a = -18. Solve i - s + 3 = 0, -3*i - 14 = 4*f for f.
-2
Let j(k) = k**3 - 6*k**2 - 7*k + 2. Let a be j(7). Solve -2*o + a*h = 12, 4*o - 3*h = -9 - 12 for o.
-3
Suppose -2*t + 4*p - 3*p = -5, -3*p = 2*t - 1. Solve -3*g + s - 9 = 0, -t*g + 3*s + 0 = 6 for g.
-3
Let u(m) = m**2 - 5*m - 4. Let w be u(6). Suppose -w = -2*j + 2. Solve 4*o + 1 = -c - o, 2*c + 4*o + j = 0 for c.
-1
Suppose -6*n - 2 = -14. Suppose y + 10 = 6*y. Let o = n + y. Solve -k - 21 = -o*v, -5*v + 2*k - k = -25 for v.
4
Let w = -36 + 40. Solve 5*x = w*k + 1, 0 = -7*k + 3*k + 4 for x.
1
Let c = 3 - 1. Suppose c*h = -0*h + 4. Solve -2*l = -3*i + 1, 5*i = h*l + 3*l + 10 for i.
-3
Let q be 24/84 - 26/(-7). Solve -4*h - 4 = 2*y, -h + 3 = -q*h for y.
0
Let r = 100 + -98. Solve -2*b = 2*d + 4, -3*d + 2*d = -b + r for b.
0
Suppose -45 + 14 = -3*c - 2*q, -c = -2*q - 5. Solve 5*t = -2*m + 4, -2*t - c = 5*m + 2 for m.
-3
Let u be 11/2 - 12/24. Solve 3*t = -3*s - 21, -3*s - 1 = -u*t - 4 for s.
-4
Let r = -18 + 20. Solve 0 = -r*i - 5*m - 9 + 2, 0 = -3*i - 2*m - 5 for i.
-1
Let v be (-1)/(-4)*2*6. Let c(x) = -1 + x + x - 4. Let f be c(4). Solve 3*u - f*w + 24 = 0, v*w - 4 = -2*u + u for u.
-5
Let b(u) = -u**2 + 10*u + 13. Let h be b(11). Solve -h*w + 7 = -4*f - 17, -40 = -5*w + 5*f for w.
4
Let w(t) = -t + 19. Let i be w(9). Suppose 5*r = 3*r + i. Solve 2*m - 29 = r*j, 3*m + 0*m = 2*j + 16 for j.
-5
Let z be (-3)/2*(5 - 7). Let m(x) = 2*x - 4. Let j be m(z). Suppose -11 = 5*a + 2*s - 3, 5*s + 20 = j*a. Solve -3*r - 4*t = 19, -3*r + a*r - 3*t = 15 for r.
-1
Let w = -1 - -5. Solve c - 7 = 5*z, -w*c = z - 5 - 2 for c.
2
Let g = -16 + 31. Let x = g - 10. Solve x*k = f - 28, 5*f - k + 2 = 22 for f.
3
Let f = 17 - 12. Let l be (-2)/(-4) - 1/2. Let s be 0 + l/3 - -2. Solve -f*h + 1 + 6 = s*r, -2*r - 2*h + 4 = 0 for r.
1
Let v be -1 - 2/3*-6. Suppose -4*j + 7 = -1. Solve 2 = -j*a + 3*u + 6, 3*a = v*u + 6 for a.
2
Suppose -2*l + 5*l - 6 = 0. Let a be 2 + 1/(l/24). Solve 4*s = -4*h - 28, -5*s - h - a = -3*h for s.
-4
Let l(b) = b**2 - b + 2. Let s be l(2). Let w(z) = -3 - s*z + 2*z + 3*z. Let t be w(5). Solve -3*i = -2*x + 1, 0 = t*x - 0*i + i - 5 for x.
2
Let g = -7 - -11. Solve -16 = -g*x + 2*i, 4*x + i = 1 + 9 for x.
3
Let d(h) = h**3 - 7*h**2 + h - 5. Let o be 3*(-3)/(-9)*7. Let u be d(o). Let t be 6 - (u + 0)/2. Solve -t*v - 4*w - 20 = w, -4 = -2*v + 4*w for v.
-2
Let f = 40 - 20. Solve 3*h = -2*v - 2 + 10, -5*v - 4*h = -f for v.
4
Let w(n) = n + 1. Let u be w(-10). Let z be 16/(-3)*u/6. Solve 5*t = -5*v - 10, 3*v = -4*t + 5*v - z for t.
-2
Let x = 9 - 4. Suppose 15 = i + x*a - 0, -4*i + 24 = 2*a. Let w = 0 + 5. Solve -i*d + 3*d = -3*h + 13, 3*h + 22 = -w*d for d.
-5
Let t be (-2)/4 + 78/4. Solve -6 = 3*h + 3*m, 2*h - 3*m = -t + 5 for h.
-4
Let y(j) be the third derivative of -j**4/12 + j**3/3 + j**2. Let c be y(-1). Solve 0 = 2*z + 5*k - 30 + c, 3*z + 5*k - 29 = 0 for z.
3
Suppose -4 = -2*h - 30. Let y be h/(-4) + 3/(-12). Solve 3*u - 14 = 2*s, -4*u = -y*s - 17 - 3 for s.
-4
Let i be (-9)/(18/(-16)) + -3. Solve 5*t + 45 = -i*c, 5*t - c = 2*c - 13 for t.
-5
Suppose 9*t = 30 + 15. Solve s = 5*b - 0*s + 11, -5 = -t*s for b.
-2
Suppose 0 + 2 = 2*t, 0 = j - 2*t - 2. Solve j*k = -2*h + 24, -k + 2*h - 1 = -2 for k.
5
Let d = 8 + -11. Let o = 4 + d. Solve 4*w + 2*j = -2*j, -o = -4*w - 3*j for w.
1
Let z be 3 - 3/(-9)*0. Suppose 2 = 5*g + z*r - 11, g - 2*r = 0. Solve 3*l = 0, -3*y - g*l - l - 12 = 0 for y.
-4
Suppose -4*b - 12 = 0, 4*b = -g - 5 - 7. Let w be 6 + 0 + 1 + -2. Solve -3*t = -w*r + 9, -3*r = 4*t - g - 17 for r.
3
Let l = -4 - -4. Solve -3*f + h = -21 + 4, -3*f - 5*h - 13 = l for f.
4
Let q(y) = -6*y + 3*y + 11 + 4*y + 0*y. Let i be q(-8). Solve 5*t + i*f = -26, t - 2*f = -f - 2 for t.
-4
Let v = 10 + -5. Suppose -l = 3*l + 2*h - 26, -v = 5*l - 5*h. Solve -x + 5 = b, 7*x - 4*x = l*b - 20 for b.
5
Let g = -104 + 104. Solve -4*h + 5*s - 10 = g, -2*h = h + s + 17 for h.
-5
Suppose 4*s - 3*j = 43 + 52, 0 = 4*s + 4*j - 60. Solve -q - v = 0, -2*q + 0*q + 3*v = s for q.
-4
Suppose 0 = 25*r - 20*r. Solve 6*v - v - 2*k - 8 = r, -2*v + 4*k = 0 for v.
2
Suppose 3*s = 2*y - s - 6, 2*s = 4. Solve 3*t + y = c, 5*t + 13 = c - 0*t for c.
-2
Let a = -2 - -5. Let p(g) = g**2 + g + 3. Let c be p(a). Solve 5*n - 28 = -3*d, 4*n - d = 4*d + c for n.
5
Suppose 33 = -5*o + 98. Solve -7 = 3*i - 4*h, i - 2*h = -6*h - o for i.
-5
Let w be (-13 - -13)*(-2)/2. Solve -4*m + 12 = w, f - 4*m = 3*f - 4 for f.
-4
Let b(x) = -x**2 - 5*x + 9. Let y be b(-7). Let t be 1/3*0/y. Solve 4*j - 12 = t, 2*j + j = i + 13 for i.
-4
Let h be 3*(21/9 + -1). Solve -5*d - j - 6 = 0, 8 = -0*d + h*d + 4*j for d.
-2
Let d(u) = -3*u - 5. Let m = -8 - -5. Let x be d(m). Solve 3*y - 2 = -p, 2*y - x = 2*p - 0*p for p.
-1
Let h = 42 - 22. Suppose h = -2*o + 6*o. Suppose 5 + 50 = o*m. Solve -4*q - 3*p - 5 = m, -q + p - 4 = 0 for q.
-4
Let s = 80 - 77. Solve 19 = -s*k + 2*y, -3*k - 16 = -k - 2*y for k.
-3
Let c(p) = -p**3 - 5*p**2 + 7*p + 9. Let z be c(-6). Solve -8*k = -g - z*k + 28, -3*k - 15 = 0 for g.
3
Let p be (20/25)/((-3)/(-15)). Solve p*s - 8 = 4*u, 5*u + 4*s = 24 + 11 for u.
3
Let g be 7 + (1 - 1 - 4). Solve g = -h + c + 13, -25 = 5*c for h.
5
Let r be (7/21)/((-1)/(-15)). Suppose -4*f + 25 = -3*h, -r*f + 32 = 2*h - 5*h. Solve 6*q - 3*q - f = -4*d, d - q = -7 for d.
-2
Let w = 44 - 40. Solve 4*h - 8 = -w*i - 24, 5*i = -3*h - 18 for h.
-1
Suppose 7*j - 29 = 6. Solve 0*z - 5*z + c = -11, -j*c + 32 = 4*z for z.
3
Let l be (-1)/6 + (-4)/(-24). Let v be 5*(1 + l) + 1. Suppose -g + v - 2 = 0. Solve -c + 11 = -g*t, 3*t + 2*c + 10 = -12 for t.
-4
Let a be (15/(-2))/((-3)/2). Solve 2*o = 5*h + 12, -o = 4*o - a*h for o.
-4
Let u = -194 + 138. Let n be (u/4)/(-2) - 1. Solve n + 14 = 5*k - m, 4*k = -m + 7 for k.
3
Suppose -5*u + 10 = -g + 23, -2*u = 3*g - 5. Suppose -5*j = l - 24 + 5, 5*j - 57 = -3*l. Solve 2*r + l = g*w, 5*r = -w - 11 - 11 for r.
-5
Suppose -r + 6 = r. Solve -5*g - 16 = 2*s, -r*s = 3*g + s + 4 for g.
-4
Suppose -2*d - 4*h - 4 = 2*d, 4*d = 4*h + 28. Let o be -2 + d/(6/20). Let r = o + -3. Solve -j = -3*v + 5, r*j - v = -6*v + 15 for j.
1
Let u = -5 - -18. Let o = u + -9. Solve -o*r + 0*z = -z + 6, -4*z - 8 = 0 for r.
-2
Let g = 31 + -21. Let z be 4 - 0 - g/10. Solve 0 = -c - v - 1, -13 = c - z*v - 0*v for c.
-4
Suppose -5*d + 140 = 5*o, 0 = -5*d + 10 - 0. Let i be (-1)/(-2) + o/(-4). Let p be 27/6*(-4)/i. Solve 3*r = p*n + 27 - 9, 2*n + 6 = 0 for r.
3
Suppose -4*t + 32 = -0*t. Suppose -8 = p - 2*a - a, -p - a + t = 0. Solve -3*x = -p*x + 5*g - 8, -3*x + 14 = 4*g for x.
2
Let w = -63 + 67. Solv
|
{
"pile_set_name": "DM Mathematics"
}
|
9, -278, -417, -556, -695?
-139*w
What is the g'th term of -2681, -2677, -2667, -2645, -2605, -2541, -2447, -2317?
g**3 - 3*g**2 + 6*g - 2685
What is the o'th term of -6, -8, -26, -66, -134, -236, -378, -566?
-o**3 - 2*o**2 + 11*o - 14
What is the w'th term of 30, 104, 248, 498, 890?
6*w**3 - w**2 + 35*w - 10
What is the v'th term of -41, -42, -43?
-v - 40
What is the j'th term of 740, 735, 720, 689, 636, 555, 440, 285?
-j**3 + j**2 - j + 741
What is the b'th term of -6, -19, -32, -45?
-13*b + 7
What is the y'th term of 194, 196, 198, 200, 202, 204?
2*y + 192
What is the l'th term of 469, 480, 491, 502, 513, 524?
11*l + 458
What is the r'th term of -6, -4, 0, 6, 14, 24, 36?
r**2 - r - 6
What is the j'th term of 30, 142, 328, 594, 946, 1390, 1932?
j**3 + 31*j**2 + 12*j - 14
What is the z'th term of -32, -111, -244, -431, -672?
-27*z**2 + 2*z - 7
What is the m'th term of -168, -162, -156, -150, -144?
6*m - 174
What is the s'th term of -254, -462, -670?
-208*s - 46
What is the t'th term of 110, 95, 78, 59?
-t**2 - 12*t + 123
What is the d'th term of -4, -20, -58, -124, -224, -364?
-d**3 - 5*d**2 + 6*d - 4
What is the h'th term of 265, 255, 229, 181, 105, -5, -155?
-h**3 - 2*h**2 + 3*h + 265
What is the h'th term of -75, -116, -219, -414, -731?
-5*h**3 - h**2 - 3*h - 66
What is the q'th term of 581, 1165, 1749, 2333?
584*q - 3
What is the h'th term of 268, 536, 804, 1072, 1340, 1608?
268*h
What is the l'th term of 144, 146, 148, 150, 152?
2*l + 142
What is the l'th term of -7, 11, 55, 137, 269, 463, 731, 1085?
2*l**3 + l**2 + l - 11
What is the h'th term of -238, -241, -248, -259, -274, -293?
-2*h**2 + 3*h - 239
What is the n'th term of 15, 9, -1, -15, -33?
-2*n**2 + 17
What is the u'th term of 559, 558, 557, 556, 555, 554?
-u + 560
What is the h'th term of 406, 810, 1212, 1612, 2010, 2406?
-h**2 + 407*h
What is the g'th term of -17, -52, -109, -188, -289, -412, -557?
-11*g**2 - 2*g - 4
What is the k'th term of 15, 321, 1155, 2781, 5463, 9465, 15051?
44*k**3 - 2*k - 27
What is the k'th term of 122, 241, 360, 479, 598?
119*k + 3
What is the o'th term of 1798, 1820, 1858, 1918, 2006, 2128?
o**3 + 2*o**2 + 9*o + 1786
What is the u'th term of -83, -81, -79, -77, -75?
2*u - 85
What is the d'th term of 38, 67, 102, 143?
3*d**2 + 20*d + 15
What is the z'th term of -579, -577, -575?
2*z - 581
What is the t'th term of -476, -482, -488, -494?
-6*t - 470
What is the f'th term of -14, 26, 90, 190, 338, 546, 826?
2*f**3 + 26*f - 42
What is the c'th term of 119, 153, 199, 263, 351, 469?
c**3 + 27*c + 91
What is the n'th term of 1395, 2790, 4185, 5580?
1395*n
What is the w'th term of -209, -411, -613, -815?
-202*w - 7
What is the i'th term of 597, 580, 561, 540, 517, 492, 465?
-i**2 - 14*i + 612
What is the y'th term of 45, 34, 21, 6, -11?
-y**2 - 8*y + 54
What is the m'th term of 2011, 2008, 2005, 2002?
-3*m + 2014
What is the t'th term of -1652, -1661, -1672, -1685, -1700, -1717, -1736?
-t**2 - 6*t - 1645
What is the m'th term of 89, 192, 307, 440, 597?
m**3 + 96*m - 8
What is the b'th term of -24, -30, -24, 6, 72, 186, 360, 606?
2*b**3 - 6*b**2 - 2*b - 18
What is the x'th term of -9, -10, -9, -6, -1, 6, 15?
x**2 - 4*x - 6
What is the j'th term of -11, -78, -193, -356?
-24*j**2 + 5*j + 8
What is the b'th term of -31, 51, 277, 719, 1449, 2539, 4061, 6087?
12*b**3 - 2*b - 41
What is the n'th term of -1582, -1581, -1580, -1579, -1578, -1577?
n - 1583
What is the d'th term of 5638, 5637, 5636?
-d + 5639
What is the g'th term of -78, -71, -60, -45, -26?
2*g**2 + g - 81
What is the c'th term of 438, 428, 404, 360, 290?
-c**3 - c**2 + 440
What is the k'th term of 467, 466, 455, 428, 379, 302, 191, 40?
-k**3 + k**2 + 3*k + 464
What is the a'th term of 59, 106, 145, 176?
-4*a**2 + 59*a + 4
What is the j'th term of -37, -59, -97, -157, -245?
-j**3 - 2*j**2 - 9*j - 25
What is the z'th term of -4, -50, -164, -376, -716, -1214, -1900, -2804?
-5*z**3 - 4*z**2 + z + 4
What is the x'th term of -30, -33, -36?
-3*x - 27
What is the q'th term of -32, 25, 154, 391, 772, 1333?
6*q**3 + 15*q - 53
What is the i'th term of 7, 32, 87, 184, 335, 552?
2*i**3 + 3*i**2 + 2*i
What is the u'th term of 10, 20, 30, 40?
10*u
What is the j'th term of 63, 25, -27, -99, -197, -327, -495, -707?
-j**3 - j**2 - 28*j + 93
What is the m'th term of 2, 25, 70, 149, 274, 457, 710?
2*m**3 - m**2 + 12*m - 11
What is the o'th term of 288, 287, 286, 285, 284?
-o + 289
What is the d'th term of 386, 388, 390, 392, 394?
2*d + 384
What is the d'th term of -85, -87, -73, -37, 27, 125, 263?
d**3 + 2*d**2 - 15*d - 73
What is the g'th term of 294, 581, 852, 1101, 1322, 1509, 1656?
-g**3 - 2*g**2 + 300*g - 3
What is the j'th term of 70, 179, 322, 499, 710?
17*j**2 + 58*j - 5
What is the t'th term of -225, -252, -289, -330, -369, -400, -417?
t**3 - 11*t**2 - t - 214
What is the f'th term of 5, 4, -1, -10?
-2*f**2 + 5*f + 2
What is the j'th term of 36, 81, 124, 165, 204, 241?
-j**2 + 48*j - 11
What is the v'th term of -2985, -5971, -8957, -11943, -14929, -17915?
-2986*v + 1
What is the z'th term of 239, 238, 237, 236, 235?
-z + 240
What is the w'th term of -13, -32, -77, -160, -293, -488, -757?
-2*w**3 - w**2 - 2*w - 8
What is the j'th term of 3316, 3315, 3314, 3313?
-j + 3317
What is the r'th term of -25, -53, -95, -157, -245, -365?
-r**3 - r**2 - 18*r - 5
What is the r'th term of -93, -104, -109, -102, -77, -28, 51, 166?
r**3 - 3*r**2 - 9*r - 82
What is the v'th term of -80, -158, -236?
-78*v - 2
What is the k'th term of 207, 404, 603, 804?
k**2 + 194*k + 12
What is the f'th term of -2, -38, -110, -230, -410?
-2*f**3 - 6*f**2 - 4*f + 10
What is the l'th term of -3222, -6448, -9674?
-3226*l + 4
What is the o'th term of 599, 551, 501, 449?
-o**2 - 45*o + 645
What is the c'th term of -22713, -22715, -22719, -22725, -22733, -22743?
-c**2 + c - 22713
What is the w'th term of -12, -4, 18, 60, 128?
w**3 + w**2 - 2*w - 12
What is the k'th term of 64, 127, 190, 253, 316, 379?
63*k + 1
What is the q'th term of -30, -34, -38, -42, -46?
-4*q - 26
What is the x'th term of -328, -330, -332, -334, -336?
-2*x - 326
What is the g'th term of 26, 22, 18?
-4*g + 30
What is the f'th term of -62, -49, -36, -23, -10, 3?
13*f - 75
What is the s'th term of -227, -454, -681?
-227*s
What is the c'th term of -109, -105, -91, -61, -9, 71, 185, 339?
c**3 - c**2 - 109
What is the z'th term of 71, 81, 93, 107, 123?
z**2 + 7*z + 63
What is the z'th term of -24, -43, -66, -93, -124, -159, -198?
-2*z**2 - 13*z - 9
What is the a'th term of -40756, -40757, -40758, -40759, -40760, -40761?
-a - 40755
What is the a'th term of -10, -3, 16, 53, 114, 205, 332?
a**3 - 11
What is the r'th term of -236, -234, -228, -218, -204, -186, -164?
2*r**2 - 4*r - 234
What is the z'th term of -129, -260, -393, -528?
-z**2 - 128*z
What is the f'th term of 38, 96, 192, 326, 498, 708, 956?
19*f**2 + f + 18
What is the g'th term of -637, -631, -615, -583, -529, -447, -331, -175?
g**3 - g**2 + 2*g - 639
What is the l'th term of -40, -68, -84, -82, -56, 0?
l**3 - 35*l - 6
What is the d'th term of 162, 310, 458, 606, 754, 902?
148*d + 14
What is the m'th term of -96, -92, -86, -78, -68?
m**2 + m - 98
What is the i'th term of -2837, -2839, -2841, -2843?
-2*i - 2835
What is the k'th term of -37, -19, 1, 23, 47, 73, 101?
k**2 + 15*k - 53
What is the w'th term of 45, 91, 139, 189, 241?
w**2 + 43*w + 1
What is the m'th term of 404, 414, 426, 440, 456, 474, 494?
m**2 + 7*m + 396
What is the x'th term of 185, 188, 201, 230, 281, 360, 473, 626?
x**3 - x**2 - x + 186
What is the l'th term of 86, 346, 778, 1382, 2158?
86*l**2 + 2*l - 2
What is the k'th term of -1171, -2345, -3519, -4693, -5867?
-1174*k + 3
What is the y'th term of -712, -5649, -19048, -45139, -88152, -152317, -241864?
-705*y**3 - y**2 + y - 7
What is the q'th term of -1603, -1600, -1595, -1588, -1579, -1568?
q**2 - 1604
What is the c'th term of 4880, 4882, 4884, 4886, 4888?
2*c + 4878
What is the m'th term of -1158, -1171, -1192, -1221, -1258, -1303, -1356?
-4*m**2 - m - 1153
What is the p'th term of 82, 151, 220?
69*p + 13
What is the x'th term of 7, -30, -137, -350, -705?
-6*x**3 + x**2 + 2*x + 10
What is the r'th term of 164, 172, 182, 194, 208?
r**2 + 5*r + 158
What is the r'th term of -4, 11, 14, -1, -40, -109?
-
|
{
"pile_set_name": "DM Mathematics"
}
|
07563
What is the difference between 96747 and 0.08411?
96746.91589
Put together 2.1570465 and 0.
2.1570465
Calculate -33 - 1172175.
-1172208
What is -1034972131 - 5?
-1034972136
14779181 + -0.091
14779180.909
What is 35905 less than 0.75?
-35904.25
Subtract -0.25 from -337506.
-337505.75
Work out -0.0585 + -243939.27.
-243939.3285
Calculate -3805.3171 + 0.7.
-3804.6171
Work out -380340.2 - -0.5.
-380339.7
What is the distance between -8 and 3189677?
3189685
Total of 3.310441 and -309.
-305.689559
What is 511 less than -9473?
-9984
What is -11.538 minus -1240.503?
1228.965
What is the difference between -5 and 14844.8469?
14849.8469
Add 3442288 and 60418.
3502706
Calculate 38617302 - -15.
38617317
Total of 172.937 and 147.
319.937
Work out 0.6 + 6937687.12.
6937687.72
Put together 705.979843 and 0.03.
706.009843
What is 44.6 - 6609105?
-6609060.4
What is 0.1 take away -7.55654036?
7.65654036
Calculate -4198 - 0.0891.
-4198.0891
Work out 185111849 - -0.175.
185111849.175
What is -3809147 - -2554?
-3806593
What is the distance between -18895.32049 and 0?
18895.32049
Subtract 606 from 2297836.
2297230
-0.66 - -595.99
595.33
Work out -230415 + -5353.
-235768
0.339640039 - 0.5
-0.160359961
-8970748.44 - -0.4
-8970748.04
Add together 1285 and 0.73023.
1285.73023
What is 130874.08939 + 2?
130876.08939
Add -184405 and 5.
-184400
Subtract -146781453 from -0.84.
146781452.16
What is 56852 less than 3311333?
3254481
-31546483+-2038
-31548521
Sum -9080530 and -0.3.
-9080530.3
-12 + -1010349619
-1010349631
Sum 1763210 and -55.
1763155
Add -0.49 and 0.054645.
-0.435355
What is -0.5 minus 4048375?
-4048375.5
What is -886037.97 + 5?
-886032.97
28585 + 1155414
1183999
Sum 12.8 and 2899330.1.
2899342.9
Calculate 0.5 - -895.0953884.
895.5953884
Add together -33043 and -0.32445.
-33043.32445
Add together -157.78 and -178.
-335.78
What is -12 minus -8.35446?
-3.64554
What is 1254768 less than 33?
-1254735
Work out 7 - 8965.624.
-8958.624
What is the difference between -107625 and -3356?
104269
What is 0.005502587 - 0.109?
-0.103497413
What is 11.3 + 1.243815?
12.543815
245.1769 + 16.4
261.5769
Add together 651 and 4060.
4711
-28931+-248
-29179
Calculate 13 - 8411724766.
-8411724753
Calculate 380199452 - -0.5.
380199452.5
Calculate 0.4 - 25.068168.
-24.668168
Add together 63.7511 and -9.
54.7511
What is 27433.02 + 36?
27469.02
Sum 21740514 and 0.4.
21740514.4
Sum 2 and -163.37.
-161.37
Work out 702461 + -1.1.
702459.9
What is -0.3077621263 - 4?
-4.3077621263
329338 + -59.1
329278.9
Calculate 0.06069645 + -0.1572.
-0.09650355
Work out -0.2 - -631481.
631480.8
What is 0.1 take away 79827926?
-79827925.9
Subtract 0.4 from 152479792.
152479791.6
What is the distance between -6 and -2024466?
2024460
What is 0.5928798 + 4?
4.5928798
What is -117555.5 - 0.0846?
-117555.5846
Calculate 0.5553189619 + -2.
-1.4446810381
47 + 8974888
8974935
Sum -13658 and 64.0904.
-13593.9096
-0.2 + -59509.478
-59509.678
What is -5 - -1236.912467?
1231.912467
Sum -285316865 and 3.
-285316862
Total of -48 and 325645341.
325645293
What is 1225 - -0.07856?
1225.07856
What is -239659.9804 - 4.6?
-239664.5804
What is -0.4 plus 6204638419?
6204638418.6
3002009 + 412
3002421
What is -6 - -2933141?
2933135
What is -6.48395 minus -0.1?
-6.38395
Total of 11808156.19 and 0.14.
11808156.33
What is 1960297 - 0.3?
1960296.7
Calculate 6470356.38 + -0.1.
6470356.28
Subtract -0.0484969587 from 0.1.
0.1484969587
What is -1.3 + 554090972?
554090970.7
What is the distance between -397.6865 and 5?
402.6865
Add -0.4 and -7.487842.
-7.887842
What is 710.4 - 83.5?
626.9
What is -5 less than 6232.5435?
6237.5435
Add together -741.798 and 0.203.
-741.595
What is 27787 less than -0.197373?
-27787.197373
What is the difference between 7.626447 and -3?
10.626447
What is 3732296 plus 579?
3732875
0 - -0.06300737
0.06300737
What is the difference between -6677684 and 5?
6677689
-104 + -100.569
-204.569
Total of 416 and 314923645.
314924061
What is 40886299003 - -0.5?
40886299003.5
What is 0.818 plus 345.77?
346.588
Sum 473853 and -0.36.
473852.64
-674356+32.2
-674323.8
Work out 45365.9 + -1008.
44357.9
Calculate 97.6 - -2.60067.
100.20067
What is -1361059 plus -0.0632?
-1361059.0632
Put together -0.1503 and -9.595.
-9.7453
What is -203352 plus -657.6?
-204009.6
What is -1 minus -10363496.4?
10363495.4
What is -31 + -126.9014?
-157.9014
What is 39.6012 - 0.11?
39.4912
What is 0.4 minus 98052351?
-98052350.6
What is -10.7799949 take away 27?
-37.7799949
Add -3.5 and -95687347.
-95687350.5
Sum -7264665 and 1233.
-7263432
Calculate 0.08 - -349905018.
349905018.08
Calculate 55478194 + -45.
55478149
7221933+3994
7225927
What is 111994208 plus 0.1?
111994208.1
Sum -17944436 and 0.04.
-17944435.96
Calculate -0.1 - 967756608.
-967756608.1
Calculate 1167 + -2896558.
-2895391
What is the difference between -814744019 and 1.1?
814744020.1
What is -213967 + 627?
-213340
Add together 44 and 3237.82.
3281.82
What is 0.503 + 0.23844?
0.74144
Calculate -5917.341 - 15.367.
-5932.708
-0.0812 - -53632
53631.9188
Total of -3.211 and 8936462.
8936458.789
Work out -3.1 + -72520992.
-72520995.1
What is -2577 plus 0.6351?
-2576.3649
What is -3 take away 29954749?
-29954752
-0.2 - 21034105
-21034105.2
Add together 379847 and -0.00918.
379846.99082
What is the difference between 2.42029 and 7.7565?
5.33621
Calculate -2662629 - 0.01.
-2662629.01
Add together 0.2660248725 and 9.
9.2660248725
Work out -1281 + -142846.
-144127
Add together 11405086 and -5.
11405081
Add together -196744 and -0.2782.
-196744.2782
Calculate -99 + 7053.
6954
Put together -0.4 and 149.96081.
149.56081
Total of 54.9872 and -74111.
-74056.0128
What is -538 less than 258017?
258555
Add 5 and 13391954342.
13391954347
0.04 + 203812.2
203812.24
Calculate -2790432 + -0.08.
-2790432.08
What is the difference between 0.025396 and 5.56?
5.534604
2.2182 + -308307
-308304.7818
What is -1094220086 take away -0.2?
-1094220085.8
Subtract 0.132 from 0.02843.
-0.10357
What is the distance between 76.2 and -4.7425?
80.9425
What is 36665 less than -53?
-36718
-66.82+0.01683027
-66.80316973
Work out 0.56 - 104.21453.
-103.65453
What is -67523201653 - 5?
-67523201658
What is 0 take away 78316013.2?
-78316013.2
Calculate 1466856 + 247.83.
1467103.83
Work out -689.61 - 7.28.
-696.89
What is the distance between 1.97361 and -2380?
2381.97361
-0.3609+21.05732
20.69642
What is -38909.5 plus 1099.5?
-37810
Sum 0.018 and -176.84.
-176.822
Total of -52.89 and 74216.
74163.11
138465+51.63
138516.63
What is -25 less than 389351609?
389351634
Calculate 11.64497313 + 0.5.
12.14497313
What is 481739.341 minus 2.5?
481736.841
Work out 2 - 21019701.2.
-21019699.2
Work out -31022 - -8404.
-22618
Total of 0.30351 and -275.
-274.69649
What is 2669557 minus -0.059?
2669557.059
Add 5097032179 and -3.
5097032176
Add together -2346 and -6.204.
-2352.204
Put together -243133046 and 2.
-243133044
Subtract -0.0266471981 from -231.
-230.9733528019
What is -2642663483 less than -1?
2642663482
What is the difference between -160 and -833080.78?
832920.78
What is 2400.4 - -3.91855?
2404.31855
What is 33844111 + -0.2?
33844110.8
Work out -5 - -233626393.
233626388
Subtract 35905 from 0.197242.
-35904.802758
Work out -0.6 - -2723071.
2723070.4
What is 9.16 take away -4.5343?
13.6943
Put together -33.83 and 126210.
126176.17
Total of -18030 and -1.929.
-18031.929
What is 3630 take away -7228?
10858
192 + -56882
-56690
-559085 - 0.1863
-559085.1863
Total of 109730114 and 0.19.
109730114.19
Add together -1.54 and 581426.
581424.46
Work out -63 + -166183.
-166246
Sum -8.2 and -104618995.
-104619003.2
Calculate 4.120187 - -2.
6.120187
Sum 14.99 and -43.9.
-28.91
What is 37 take away -116138.56?
116175.56
What is 0.1 plus -19483235?
-19483234.9
Add 0.3 and 548081.531.
548081.831
-5 + 523.05751
518.05751
128524 + -31003
97521
49653004 + -1.71
49653002.29
What is -3.838 + -8.51478?
-12.35278
What is 0.0211208 minus 29657?
-29656.9788792
89.3426 + -311.84
-222.4974
What is -0.03 + 0.5382893?
0.5082893
Add together 0.03 and -49428586.63.
-49428586.6
Add 137 and 15124.
15261
Add 466 and 290.70827.
756.70827
-5+235595624
235595619
What is 4.76139 take away 0.04?
4.72139
What is the distance between -26309845 and -0.093?
26309844.907
|
{
"pile_set_name": "DM Mathematics"
}
|
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