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e 2*s = 4*i + 48, -3*s - 3*i + 7*i + 80 = o. What is the remainder when s is divided by 12?
8
Let v be 10 - ((-6)/(-1) + -30 + 29). What is the remainder when (-273)/(-14)*(v - 0 - 3) is divided by 19?
1
Let n(k) = -9*k - 21. Let j be n(-3). Suppose j*t + 1707 - 6003 = 0. Calculate the remainder when t is divided by 16.
12
Suppose -62 = -7*x + 36. Suppose 0 = 2*o + x*o - 256. What is the remainder when 61 is divided by o?
13
Let f = -99 - -168. Let r = f + -64. What is the remainder when 53 is divided by r?
3
Let u be 0*5/15*(-2)/(-2). Suppose u*z + 6*z - 696 = 0. Let a = 123 - 84. What is the remainder when z is divided by a?
38
Suppose -120 = -8*t + 6*t + 2*k, 2*t = -4*k + 144. Suppose -221 = -2*a + 185. What is the remainder when a is divided by t?
11
Let b = 99 + -79. Let t(r) = -2*r**2 + 38*r + 44. What is the remainder when 286 is divided by t(b)?
2
Suppose 3*d = -i + 53, -d = 3*i + d - 187. Let z = -124 + 150. What is the remainder when i is divided by z?
13
Suppose 20*d = 8*d + 48. Suppose 20 = d*b, 5*q + 4*b - b = 225. What is the remainder when q is divided by 13?
3
Suppose 0 = k - 5*f - 989, -21*k + 995 = -20*k - 4*f. What is the remainder when k is divided by 40?
19
Let f be 0*1/(-5)*1. Suppose f = -0*k - 5*k. Suppose 5*x + 12 - 137 = k. What is the remainder when 123 is divided by x?
23
Suppose -19 + 865 = 18*l. Let i(v) = 2*v**2 - 10*v + 36. What is the remainder when l is divided by i(2)?
23
Let c(q) = 12*q**2 - 4*q + 4. Let f = -83 + 41. Calculate the remainder when c(2) is divided by (1 + 22)*6/f*-7.
21
What is the remainder when 10850 is divided by (-274 + -2)/(-2) - (-724)/(-181)?
130
Suppose 304 = 107*u - 88*u. Calculate the remainder when 298/6 + 3/9 is divided by u.
2
Suppose -3*o + 4*a = 8, -3*o + o - a = -2. Suppose -f - 3*j = -7, o = -f - 3*j - 2*j + 7. What is the remainder when 215 is divided by f?
5
Suppose 0 = -4*h + 3*h + 7. Suppose -u + 7 - 18 = -3*l, -3*l + 5*u + 31 = 0. Calculate the remainder when (l + 18)*7/14 is divided by h.
3
Suppose 0 = -a + 4*a. Let i(m) = 7*m - 32. Let p be i(5). Suppose a = p*w + w - 152. Calculate the remainder when w is divided by 13.
12
Suppose -a = 10*d - 11*d - 13, 4*d = 2*a - 36. Suppose -l + 2*k = -46, 113 = 10*l - 7*l - k. Calculate the remainder when l is divided by a.
4
Suppose -37*w + 1022 = -125. Let p(r) = r**3 - 6*r**2 + 4*r - 5. Let m be p(5). Let l = m + 15. Calculate the remainder when w is divided by l.
1
Let d(l) = 3*l + 188. Calculate the remainder when d(95) is divided by 80.
73
Let w be 15/(-12) + (-5)/(-20). What is the remainder when (-3)/(-2)*6/(-36)*-148 is divided by 2*w*26/(-4)?
11
Suppose -2*b = 2*o - 7546, -9*o = -17*o + 4*b + 30136. Calculate the remainder when o is divided by 1250.
19
Suppose -2*c + 5 = -29. Let g be (16/(-64))/((-2)/8). Calculate the remainder when c is divided by 14/(-28)*g*3*-4.
5
Let g(b) = -3*b**2 + 141*b - 807. Calculate the remainder when g(39) is divided by 86.
43
Suppose -4*w = -12, -2*i + 238 = 2*w + 8. Suppose -n + 5*n - i = 4*q, -4*n + 104 = -2*q. What is the remainder when n is divided by ((-33)/33)/((-2)/6)?
0
Suppose 61 = 5*b + 3*f - 62, -105 = -3*b + 6*f. What is the remainder when (-2)/10 - 1164/(-20) is divided by b?
4
Let l(j) = -j**3 + 22*j**2 - 2*j + 51. Let d be l(22). Suppose -4*z + 40 = d*h - 3*h, 2*z - 2*h = 8. Calculate the remainder when 31 is divided by z.
3
Let o(z) = z**3 + 28*z**2 - 27*z + 28. Let g be o(-29). Calculate the remainder when (-2 + g/(-9))/((-12)/(-1098)) is divided by 25.
22
Suppose -5*i + 6 = -39. What is the remainder when (131292/441)/(8/14) is divided by i?
8
Let r be 16/12*3 - -19. Suppose -8*x + 41 + r = 0. Suppose k + 0 = x. Calculate the remainder when 14 is divided by k.
6
Let z = 13 - 1. Suppose z*b = 8*b + 20. Suppose -b*x + 3*m + 9 = -154, 4*x - 4*m - 124 = 0. Calculate the remainder when 67 is divided by x.
32
Let a = 203 + -210. What is the remainder when 220 is divided by (-24)/(-1) + a - (-4)/(-2)?
10
Let w(l) = 2*l**2 + 4*l + 4*l**2 + l**3 + 4 + 2. Suppose 0 = -2*i + 5*c - 23, 0 = 6*i + 10*c - 6*c + 12. What is the remainder when w(i) is divided by 7?
1
Let t(n) = -64*n - 2. Calculate the remainder when t(-3) is divided by -17 - (-2)/((-44)/(-1078)).
30
Suppose 2*q = -3*c + 4*q - 40, 4*q = 3*c + 44. Let y(h) = 4*h + h**3 - 11*h**2 - 5 + 3*h + 2*h - 2*h**3. Calculate the remainder when y(c) is divided by 12.
7
Suppose 4*x + 3*u + 2*u = 17, x + 2 = 5*u. Let l(m) = m**2 + 62. What is the remainder when l(0) is divided by ((-9)/x)/(1 - (-56)/(-49))?
20
Let h be (-1361)/10 + -1 + 16/160. Let g = h + 161. Suppose 282 + 63 = 5*z. What is the remainder when z is divided by g?
21
Let i(s) = s**2 - 21*s + 13. Let a be i(21). Suppose -a*p + 245 = -28. Suppose 0 = -4*o - 0*o + 44. Calculate the remainder when p is divided by o.
10
Suppose -2*v + 244 = -6*v. Suppose -5*f + 2*s = -605, -4*f + 10*s = 7*s - 491. Let l = f - v. Calculate the remainder when l is divided by 46.
42
Suppose 2*j - 5*j = 60. Calculate the remainder when (4 + (-19 - -14))*(-106)/2 is divided by 4/j + (-82)/(-10).
5
Let m(v) = 19*v**3 - v**2 + 18*v - 60. Let t be m(3). Let b = 525 - t. Calculate the remainder when 215 is divided by b.
26
Let a = 2197 - 907. Suppose 5*x + 2*z - a = 0, -1290 = -8*x + 3*x + 5*z. What is the remainder when x is divided by 52?
50
Suppose 5*c + 445 = 3499 + 1566. What is the remainder when c is divided by 141?
78
Let k = -17854 + 17875. What is the remainder when 2894 is divided by k?
17
Suppose 103*a - 773*a - 125*a + 628845 = 0. What is the remainder when a is divided by 130?
11
Let m(s) = s**3 - 2*s**2 + 2. Let t = -5688 + 5716. Calculate the remainder when t is divided by m(3).
6
Let y(u) = -13*u**2 - 6*u + 20*u**2 - 3*u**3 - 1 + 0. Let d(k) = -k**3 - k - 1. Let p(j) = -2*d(j) + y(j). Calculate the remainder when p(6) is divided by 8.
5
Let c be (2/5)/(4/20). Let b(q) = 2*q - 16 - 2*q**2 - 9*q**2 + 10*q**c + 9*q. What is the remainder when 25 is divided by b(6)?
11
Let j be (77/(-3) + -2)/((-1)/3). Suppose j = 2*m - b, 211 = 4*m - 4*b + 51. Suppose 3*a - m = -1. What is the remainder when a is divided by 2?
0
Let t = 119 - 119. Suppose 9*n + 47 - 254 = t. Suppose p + v = 10, -21 = -3*p - 2*v + 11. Calculate the remainder when n is divided by p.
11
Suppose -50*y - 49*y = -101*y + 8358. What is the remainder when y is divided by 20?
19
Let l(g) be the second derivative of g**5/20 + 5*g**4/6 + g**3 + 13*g**2/2 - 5*g - 1. What is the remainder when l(-7) is divided by 24?
22
Suppose -3*d = d - 5*l + 29, l = 2*d + 7. What is the remainder when 3/(3/23)*(2 + d) is divided by 20/3 - 1/(-3)?
2
Suppose 23423 = 16*l + 2*l - 4855. Calculate the remainder when l is divided by 131.
130
Suppose -391*x - 3539 - 14131 = -421*x. What is the remainder when x is divided by 117?
4
Let a = 130 + -130. Suppose a = -11*l + 28 + 49. What is the remainder when (-214)/(-8) + -3 + (-2)/(-8) is divided by l?
3
Let j = -10091 - -10767. Calculate the remainder when j is divided by 293.
90
Suppose 109 = a + 15. Let m = 3340 - 3316. Calculate the remainder when a/3*(-6)/(-2) is divided by m.
22
Let i(j) = -j**2 + j - 516 - j**3 + 533 - 2*j. Let l be (-1)/1*0/4. What is the remainder when 82 is divided by i(l)?
14
Let t = 9 - 3. Let p(g) = g**3 + 92*g**2 - 181*g + 711. Calculate the remainder when p(-94) is divided by t.
5
Let j(q) = 39*q**3 + 16*q**2 - 16*q. Calculate the remainder when 230 is divided by j(1).
35
Let m(a) = 4*a + 15. Let r be m(-3). Suppose -3*n + 633 = 4*g, 2*g - 422 = -2*n + r*g. What is the remainder when n is divided by 72?
67
Let m(i) = i**3 - 20*i + 34. Calculate the remainder when 15641 is divided by m(-5).
8
Suppose 5*p = -4*g - 24 + 7, -2*g - 2*p = 6. Suppose g*a - 141 = -3*u, -9 = 4*u - 21. Let l = a - -10. What is the remainder when l is divided by 11?
10
What is the remainder when 597 is divided by 1/(10*5/2300)*1?
45
Let v be 23/((-460)/(-1632)) - (-9)/(-15). Calculate the remainder when 301 - 9/(v/(-36)) is divided by 14.
11
Let g = -95 + 99. Let j(a) be the second derivative of -2*a**3/3 - 11*a**2/2 + 13*a. What is the remainder when j(-6) is divided by g?
1
Suppose -u = -4*r - r + 175, -r + 4*u = -54. Suppose -r*j = -29*j - 165. Suppose j + 6 = k. Calculate the remainder when 114
|
{
"pile_set_name": "DM Mathematics"
}
|
in -1/4, 1.9, 3, -17, 2/9?
3
Which is the third biggest value? (a) 3088 (b) 4 (c) -2/9 (d) 37
b
What is the second smallest value in 4, 4/7, -1/5, -163, -21?
-21
What is the third biggest value in 4, 241, -1.3, -1/9?
-1/9
What is the second biggest value in 7/4, -0.23, 17, 0.3, 1?
7/4
What is the fourth biggest value in 4, -1188, 2, -0.24?
-1188
Which is the fifth biggest value? (a) 15 (b) 4 (c) 221 (d) 1/2 (e) -1
e
What is the second biggest value in -2.4, -0.9, 0.82?
-0.9
What is the third biggest value in 0.2, -0.24, 1292?
-0.24
Which is the second biggest value? (a) -0.3 (b) 7 (c) 2 (d) -1 (e) 3 (f) -27
e
What is the biggest value in 0.4, -0.1, -640, 5, 13/4?
5
Which is the fifth smallest value? (a) 0.6 (b) -0.039 (c) 2.4 (d) -3 (e) -1 (f) -2
a
What is the third biggest value in -3/7, 1, 1/3, -2, 0.1, -0.5?
0.1
Which is the biggest value? (a) -0.081 (b) -4 (c) 0.1
c
What is the third smallest value in 1/12, 1/5, 742?
742
Which is the second smallest value? (a) -5 (b) -0.039 (c) 2/7 (d) -0.3 (e) -2
e
What is the third biggest value in -2, -5, -2/15, 1.99, -1/12?
-2/15
Which is the second smallest value? (a) -1/4 (b) -3 (c) -2 (d) 38.1 (e) 4
c
What is the fourth smallest value in 3, -4/3, -19, -3.3, 1/83?
1/83
Which is the third smallest value? (a) 68 (b) 4 (c) 0.5 (d) 0.1 (e) -0.59
c
Which is the fifth smallest value? (a) 0 (b) 2 (c) -4/3 (d) 194/7 (e) 0.2
d
Which is the fifth biggest value? (a) 3 (b) -0.2 (c) 5/16 (d) -0.01 (e) -3.2 (f) -0.3
f
What is the second smallest value in 0.5, -848, 1/4, -4, -3, 0.1?
-4
Which is the third smallest value? (a) 0.2 (b) 2 (c) -2517/32
b
What is the second biggest value in -0.4, -1.7, 90?
-0.4
Which is the biggest value? (a) -38 (b) 59.8 (c) 0.4
b
Which is the biggest value? (a) -11 (b) -6/121 (c) -4 (d) -1/4
b
What is the fourth smallest value in -28, -4, 0.3, 2.3?
2.3
Which is the fifth biggest value? (a) 3 (b) 4/5 (c) 0.5 (d) 4 (e) -5.44
e
Which is the smallest value? (a) -1 (b) 4 (c) 73 (d) 3 (e) 65
a
Which is the smallest value? (a) 4 (b) -1/3 (c) -0.4 (d) -0.6 (e) 45 (f) 3.1
d
Which is the second biggest value? (a) 4 (b) -38/237 (c) 7 (d) -0.3
a
What is the fifth smallest value in -156, -0.09, -0.2, 4, -0.3?
4
What is the biggest value in 2, -0.5, -49, 2/9, 3, -131?
3
What is the smallest value in -4, -7, -5, -1/3, 0.1, 36?
-7
What is the fifth smallest value in -3/7, -3/4, 2/3, 1/6, -50?
2/3
What is the biggest value in 45, -3/2, -3, -14, -146?
45
What is the smallest value in 21, -5, 0.002, -0.2?
-5
What is the fourth biggest value in 3/7, -5, -105, 1/6, 1/8?
-5
Which is the fifth biggest value? (a) 168 (b) -3 (c) 0 (d) 1 (e) 5
b
What is the third smallest value in -124, -485/3, 2/11?
2/11
What is the fourth biggest value in -4/7, -2/63, -1/6, -2/5, -2/11?
-2/5
Which is the smallest value? (a) 16.7 (b) -6 (c) -1/5 (d) -4/7
b
What is the biggest value in 1.702, 0, -2.21?
1.702
What is the biggest value in -12, -0.9, 16, 0.1, 0.3?
16
What is the second smallest value in 0.084, -3/262, 0.4?
0.084
What is the third smallest value in 0.66, 1/5, 2/7?
0.66
Which is the second smallest value? (a) 27.34 (b) 4 (c) 1/2
b
What is the smallest value in -6/137, -0.4, 2/13, 18?
-0.4
Which is the third biggest value? (a) 3 (b) -38 (c) -2.9 (d) -0.4 (e) 0.5
d
What is the second biggest value in -3/4, 8, 4, -0.09, -1/7?
4
Which is the third biggest value? (a) 2/11 (b) -1/3 (c) 0.3 (d) -0.4 (e) -2 (f) -116
b
What is the biggest value in 3, -0.5, -4, -10, -0.434?
3
What is the third biggest value in 0, 767, 2/101?
0
What is the third smallest value in -47, 4/9, 565, -2?
4/9
Which is the smallest value? (a) 308/15 (b) -708/11 (c) -2
b
Which is the fourth biggest value? (a) 7 (b) 4 (c) 0.4 (d) 3/25
d
What is the second biggest value in 0.0033, 7, 0.6?
0.6
What is the sixth smallest value in -0.06, -21, 0.1, -12, 2, -0.2?
2
Which is the biggest value? (a) 1/2 (b) 0.3 (c) 1 (d) 0.02026
c
Which is the smallest value? (a) -18 (b) 1 (c) -2/1537
a
Which is the biggest value? (a) 7.8 (b) -5 (c) 46
c
What is the third biggest value in 2/23, 0.01, -4, 2/7, 2/477?
0.01
Which is the third smallest value? (a) -247/7 (b) -4 (c) 5.24
c
What is the biggest value in 5, 0.5, 1, -20, 0.1?
5
Which is the third biggest value? (a) -8 (b) 0 (c) 0.082 (d) -5 (e) -0.06
e
Which is the second smallest value? (a) -1.1 (b) -0.73 (c) -1 (d) -3 (e) 5/3
a
Which is the second biggest value? (a) -0.1 (b) 1 (c) 0.5 (d) -250
c
What is the fifth smallest value in 1, 1/8, 5, -0.3, 24.875, 2/11?
5
Which is the third smallest value? (a) 2 (b) -140 (c) -0.5 (d) -37
c
Which is the third smallest value? (a) -1/6 (b) 13 (c) -3/662
b
Which is the fifth biggest value? (a) -45 (b) 0.2 (c) 6/11 (d) -4 (e) -0.1 (f) -0.176
d
What is the fourth biggest value in -14/13, 25, 0.3, 2/7?
-14/13
What is the fifth biggest value in 0.2, 0.4, -3, -308, 2.9?
-308
What is the fourth smallest value in 42/13, 0.2, 3, 40?
40
What is the biggest value in -0.5, 829, -2, -1/16, 0.1?
829
What is the smallest value in 5, -2/11, -46/5, 0.42, 3.9?
-46/5
What is the third smallest value in -0.007, -4/9, -0.2, 1/5, -10, -3?
-4/9
What is the second biggest value in 0.4, -3, 6.615, 3?
3
What is the second biggest value in 5, -178/3, -3.8, 1, -0.2?
1
What is the second smallest value in -0.1, -7, -8/7, -190?
-7
Which is the smallest value? (a) 2/11 (b) 0 (c) -4 (d) -386 (e) 1
d
Which is the second smallest value? (a) -8 (b) 1054 (c) 0 (d) -2/17 (e) -2/9
e
Which is the third biggest value? (a) 2.7 (b) 4 (c) -32.24
c
What is the second biggest value in 0.4, -0.3, -1, -25/12, 1?
0.4
What is the fifth smallest value in -1/4, -2/9, 1883, -4, 2?
1883
Which is the fifth biggest value? (a) 1 (b) 1/3 (c) 0.4 (d) 25 (e) -33
e
What is the second biggest value in 91/6, 2, -2/5?
2
Which is the third biggest value? (a) -0.1 (b) -0.3 (c) -3/2 (d) 0.04 (e) 375
a
What is the biggest value in -17, 2385, 6?
2385
Which is the third smallest value? (a) 5854 (b) -7 (c) -2/15 (d) -0.4 (e) -5
d
What is the smallest value in -21, -17, 1.8?
-21
What is the second smallest value in 2/3, 3, -34, 685?
2/3
What is the second smallest value in 4, -2/7, -2636, -0.03?
-2/7
Which is the fourth smallest value? (a) 3 (b) -52 (c) 154 (d) 1/3 (e) 5
e
Which is the biggest value? (a) 892 (b) -1/3 (c) 1/18
a
Which is the third smallest value? (a) -14/9 (b) 4 (c) -1/83 (d) -5 (e) -1
e
Which is the sixth smallest value? (a) -2 (b) -3/2 (c) 0.24 (d) -0.06 (e) -4 (f) -2/5
c
What is the fifth biggest value in 0.02, 1/7, 1/5, 0, -47.548?
-47.548
What is the biggest value in -225, -2/9, -2, -2/5, 2?
2
What is the second biggest value in 0, 1, -0.1, 14, 25?
14
Which is the third smallest value? (a) 2793 (b) 0.1 (c) 22.8
a
Which is the biggest value? (a) 4 (b) -0.7 (c) 1.3 (d) 4/7
a
What is the biggest value in -5, 1/4, -2.3, 3?
3
What is the third biggest value in -0.05, -0.98, 5, 4?
-0.05
Which is the third smallest value? (a) 0.3 (b) 514.8 (c) 0.7 (d) -0.3
c
What is the third biggest value in -0.18, 4820, 4?
-0.18
What is the smallest value in -3, 27, -815.9, -1?
-815.9
What is the fifth biggest value in -5, -0.4, -1/3, 1/4, 120, -1657?
-5
Which is the fourth biggest value? (a) -3 (b) 4 (c) 10 (d) -5/9 (e) -2/3 (f) -2/13
d
What is the biggest value in 3, 921, 0.13?
921
What is the fifth smallest value in 2/19, 1/2, 4, -50/7, 2?
4
What is the third smallest value in -141, -80, -0.4?
-0.4
Which is the third biggest value? (a) 1241.2 (b) 3/5 (c) -5
c
What is the fourth biggest value in -1/10, 1/3, 4/7, 7.4?
-1/10
What is the second smallest value in -24, -3/44, 0.04, -9/5?
-9/5
What is the third smallest value in 29782, -11, -0.2?
29782
Which is the third smallest value? (a) 0.07 (b) 196 (c) 3 (d) -74.6
c
Which is the second biggest value? (a) -0.0693 (b) -5 (c) 0 (d) -2.4
a
What is the second biggest value in -0.2, 764, -26?
-0.2
Which is the fourth smallest value? (a) -1/2 (b) 0.2 (c) -123/5 (d) 502
d
What is the third biggest value in 236, 1.4, 0.1, 2/3, 0.06?
2/3
Which is the fifth biggest value? (a) -9 (
|
{
"pile_set_name": "DM Mathematics"
}
|
7
Suppose -j + 6 = 2*j. Let l(z) = 4 + 2*z - 3 - 2*z**j + 2. Let g = 9 - 6. Determine l(g).
-9
Let n be 2/7 - 48/(-28). Suppose -s - g = 4, -9 = n*s + g - 0*g. Let l(a) = 4*a**2 - 43*a - 7. Let r(c) = c**2 - 8*c - 2. Let x(w) = l(w) - 5*r(w). Give x(s).
-7
Let u(b) = -5*b**2 - b. Let r be (-3)/(21/(-35)) - 7. Let d(v) = 3*v. Let z(f) = f + 1. Let l(x) = -d(x) + 5*z(x). Let i be l(r). Give u(i).
-6
Let d(r) = -65*r - 5. Let c(g) = -65*g + 1. Let n(b) = 2*c(b) - 3*d(b). Let w(a) = 22*a + 6. Let s(m) = -4*n(m) + 11*w(m). Give s(-1).
16
Let n(x) be the second derivative of -x**7/420 - x**6/360 + x**5/60 + x**4/4 + x**2/2 - 87*x. Let f(o) be the third derivative of n(o). Give f(1).
-6
Let m(o) be the first derivative of -o**6/360 - 5*o**3/3 - 4*o + 66. Let u(q) be the third derivative of m(q). Give u(0).
0
Suppose -45*m + 46*m - 3*y = 13, 5*m + 20 = -2*y. Let k(x) = -2*x**3 - 3*x**2 - 2*x + 4. Determine k(m).
12
Let b = -1046 + 1049. Let f(a) = 2*a - 2. Let t be f(4). Let x(w) = -w - t + b - 1 + 12*w**2 + 5. What is x(1)?
12
Let j(x) = x + 10. Let q be j(-4). Suppose -3*a = -q*a + 27. Let l be a/(-3)*((-40)/(-3))/5. Let z(b) = 2*b + 11. Give z(l).
-5
Let k(h) = h - 2. Let t be k(6). Suppose 8*b = t*b + 20. Let i(m) be the second derivative of m**5/20 - m**4/3 - m**3/2 + m**2/2 + 2*m. What is i(b)?
11
Let d(x) be the second derivative of -x**6/120 - x**5/30 + x**4/24 - x**3/6 + 8*x**2 + 45*x. Let q(r) be the second derivative of d(r). Determine q(3).
-38
Let m(z) = -z + 3. Let a be 0/(4/2 + -1). Suppose a = -x - 1 - 2. Let r be 4/(-6)*36/x. Calculate m(r).
-5
Suppose 3*y + 756 = 765. Suppose 0 = y*i + 3*v + 6, -3*i + v - 2*v - 6 = 0. Let c(q) = 19*q - 2. Calculate c(i).
-40
Let y(f) = -2*f + 2. Suppose 0 = 5*w + 3*u + 16, w + 2*u - 4 = 5*u. Let p be 9/(45/(-20))*1/w. Calculate y(p).
-2
Suppose 2*x + 0*x - 1 = r, -3*x - r = 11. Let k be (-2 - 4)*x/(-3). Let t(u) = u**3 + 29 - 5 + 4*u**2 - 25. What is t(k)?
-1
Let x(m) = -3*m**2 + m + 2. Suppose 4*y - y + 7 = 5*q, -4*y + 3*q - 2 = 0. Let a(u) = 15*u**2 - 8*u - 4. Let p(v) = y*a(v) + 4*x(v). Calculate p(2).
8
Let y(l) = -l - 41. Let i be (405/25 - 16)*0. Determine y(i).
-41
Let x(p) = 2*p**2 - p. Let t be x(-1). Suppose t*w = 5*w - 186. Let a = w - 88. Let g(y) = -y**2 + 5*y - 3. Calculate g(a).
-3
Let u(m) = 4*m**3 - 10*m**2 + m + 7. Let c(l) = 11*l**3 - 30*l**2 + 2*l + 22. Let j(s) = -3*c(s) + 8*u(s). Let y be -11 + (-2583)/82*2/(-3). Calculate j(y).
10
Let x(h) be the first derivative of h**3/3 + h**2/2 - 1. Suppose 118*l + 717 = 9. Let n(m) = m**3 + m**2 + 5. Let a(j) = l*x(j) + n(j). What is a(6)?
5
Suppose -67*n - 114 = -1186. Let t(y) be the first derivative of 1/2*y**2 + n - 14*y. What is t(8)?
-6
Let l(g) be the first derivative of g**2/2 + g - 11. Suppose -2*k - 4 = -2*h, -k = -0*k - 5*h + 22. Suppose 0 = 4*q + 16, k*q = -u + q - 12. What is l(u)?
-3
Let g(m) = 34*m + 11. Let q(y) = -39*y - 17. Let d(t) = 10*g(t) + 9*q(t). Determine d(0).
-43
Let k(p) = p**2 + 13*p + 18. Let v(m) = 404*m + 396*m - 801*m - 7*m**3 - 4*m**3. Let l be v(1). Give k(l).
6
Suppose 81 = 10*q - 7*q + 5*n, -5*n + 37 = q. Let t(j) = -3*j + 80. Determine t(q).
14
Let l(b) be the second derivative of b**5/10 + 11*b**4/12 + 13*b**3/6 + b**2/2 - 1904*b. Give l(-4).
-3
Let s(n) = -4*n**3 + n**2 + n + 1. Suppose 10 = -5*r + 145. Suppose 29*z = r*z + 4. Suppose -z*f = 3*f + 5. What is s(f)?
5
Let g(r) = -r**3 - 3*r**2 + 7*r - 9. Let x be g(-5). Let l be (11 + -12)/((-1)/x). Let u(d) = -2*d - 8 + 8*d + d**3 - 7*d**2 + 12. What is u(l)?
4
Let i(y) = 5*y**2 + y + 1. Let v(p) = -11*p**2 - 2*p - 2. Let t(k) = -9*i(k) - 4*v(k). Suppose -10 = 5*q - d, 4*q - 304*d + 300*d = 8. Determine t(q).
-7
Let y(g) = -g**3 + 10*g**2 + g - 2. Let p(j) = -6993*j**3 - 1 + 2*j**2 + 3493*j**3 + 3499*j**3. Let n(b) = 4*p(b) - y(b). Calculate n(-2).
16
Let g = 12474 + -12460. Let k(x) = -2*x**3 + 28*x**2 + 2*x - 22. Calculate k(g).
6
Let y(z) = -52*z + 10. Suppose u + 4 = -2*w, -412*u - 8 = -3*w - 410*u. What is y(w)?
10
Let u(p) = 28*p - 203. Let m be u(7). Let t(v) = 9*v. Determine t(m).
-63
Let d(i) be the first derivative of -3*i**4/4 - 164*i**3/3 + 53*i**2/2 - 115*i + 2490. Determine d(-55).
-5
Suppose -2*x = -2*q + 3*x + 116, x + 100 = 2*q. Suppose -5*w - 93 = -q. Let b be (-10)/5*w/(-6). Let p(l) = -l**3 - 2*l**2 - l. Give p(b).
12
Let f(a) = 8*a - 124. Let w be f(16). Let c(b) = -w*b - 1 + 5*b + 0 + 2*b. Calculate c(1).
2
Suppose 2*v - 134 = 3*y, 5*y = v - 0*y - 53. Suppose -v*p + 20 = -71*p. Let a(l) = -l**3 + 9*l**2 + 11*l - 14. Determine a(p).
-4
Let h(d) = 3*d + 14. Let s = 5332 - 5338. Give h(s).
-4
Let x(c) = 4 - 12 + 2 + 2 + 0*c + 2*c. Let v be ((-1 + -2)/3)/(1/(-4)). Let g be (v/(-1)*-1)/(7/(-14)). Determine x(g).
-20
Suppose 2*p + 10 = 4*l, -59*l - 4*p + 34 = -58*l. Let g(b) = b**3 - 5*b**2 - 4*b - 9. What is g(l)?
3
Let j = 730 - 691. Let v(r) = -j + 11*r - 9*r + 37. Give v(3).
4
Let i(m) be the second derivative of 1 + 3/2*m**2 - 1/6*m**3 - 40*m. Determine i(0).
3
Suppose -3*g + g + 6 = -2*p, -3*p - 11 = -4*g. Let k(d) be the first derivative of 10*d + g*d**2 + 4 - 2*d - 2*d - 8*d. What is k(2)?
6
Suppose 10*p - 18 = 8*p, -p + 17 = -8*j. Let y(c) = 15*c**2 - 9*c + 4. Let r(l) = 7*l**2 - 4*l + 2. Let t(g) = 13*r(g) - 6*y(g). Give t(j).
1
Let i(m) = -5*m - 36. Let f(p) = 4*p + 30. Let y(x) = 6*f(x) + 5*i(x). Let q(s) = s**3 + 6*s**2 - s. Let c be q(-6). Suppose 3*h - c = -15. Determine y(h).
3
Let n(t) = t**2 + 22*t - 90. Let w(i) = 18. Let k(j) = n(j) + 5*w(j). Calculate k(-18).
-72
Let h(y) = y - 6. Let d be (4/(-3))/((-8)/(-180)*5). Let v(o) = o - 7. Let b(k) = d*h(k) + 5*v(k). What is b(3)?
-2
Let o(s) = -245*s**2 + 196*s + 249*s**2 - 194*s - 3. Let h be 1 - (8/4 + -3). Calculate o(h).
17
Suppose -69*z - 87 = -98*z. Let w(x) = -x**3 + 9*x**2 - 20*x + 4. Calculate w(z).
-2
Let f(d) = -14 - 73*d - 67*d + 139*d. Let q(m) = m - 2. Let t = 38 - 46. Let i be q(t). Calculate f(i).
-4
Let g(l) be the third derivative of 7*l**4/24 - 31*l**3/6 + l**2 + 9*l. Give g(13).
60
Let u(l) = 66*l**2 + 15*l + 20. Let x(o) = 38*o**2 + 9*o + 12. Let p(c) = -7*u(c) + 12*x(c). Give p(2).
-14
Let w(l) = 10*l - 21. Let q(z) = -3*z - 4. Let s(u) = -6*q(u) + w(u). Determine s(-1).
-25
Let j be (-24)/3 + 2/2. Let v(k) = -6*k - 468. Let a(s) = -5*s - 352. Let b(x) = 4*a(x) - 3*v(x). Give b(j).
10
Let x(b) = 4*b - 21. Let i be x(5). Let n be (-4 - 4/2) + (i - -3). Let u(k) be the first derivative of -k**3/3 - 3*k**2/2 - 5*k - 33. What is u(n)?
-9
Let r be (-13 - 1)*22/(-77). Let d(q) = 5 + r - q**2 - 5*q - 17 + 5. What is d(-3)?
3
Let z(x) be the third derivative of x**6/120 + 17*x**5/20 + x**4/12 + 14*x**3 - 493*x**2 - 2*x - 2. Give z(-51).
-18
Let v(k) = -k**3 + 7*k**2 - k + 19. Let t be ((-61)/(-26) + (-130)/(-845))*24/10. What is v(t)?
49
Suppose -8*o = -11 - 5. Let p(l) = 170*l - 3 - l**o - 5 - 182*l. Determine p(-11).
3
Let p(d) be the first derivative of d**2/2 - d + 5. Suppose -71*f - 14 = -73*f. Suppose -f*n + 8 + 41 = 0. What is p(n)?
6
Let y(o) = -o. Suppose -2*u - 38 = -3*a, -6*a + 36 = -2*a + u. Let k be (11 - -1)*((-39)/(-4) - a). Calculate y(k).
3
Let k(m) = -11*m - 25. Let r be ((-3)/3 + (-5)/(-3))/((-249)/747). Give k(r).
-3
Let p(n) = -11*n + 81. Suppose -a - 2*f = -14, 15*a + 3*f = 17*a - 7. What is p(a)?
-7
Let s be (-42 - -37) + (-1)/(2/(-22)). Suppose -4 = -5*i - 4*l, i = -s*l + l - 16. Let j(p) be the third derivative of p**4/8 + 2*p**3/3 + 2*p**2. What is j(i)?
16
Let g(q) = 2*q - 8. Let h = 523 + -493. Suppose 46*j = 52*j - h. Determine g(j).
2
Let f(o) = 338550 - 338346 + 16*o + 4*o. Calculate f(-10).
4
Let l(w) = -4*w**3 - w**2 - 2. Let f = 7 + 4. Let k(v) = -v**2 + 7*v + 46. Let d be k(f). Calculate l(d).
-38
Let j(i) = -373 + 68*i + 171 + 205. What is j(1)?
71
Let x(g) = -27*g + 5. Let q = -1048 + 1045. What is x(q)?
86
Let u(f) be the third derivative of -f**5/24 - f**3/3 + 2*f**2 + 2*f. Let n(r) be the first derivative of u(r). Let v be ((-2)/6)/(3/(-9)). Give n(v).
-5
Let t be ((-12)/9)/(102/(-18) + 6). Let i be -4 - (t - (-1 + -1)). Let n(u) = u**2 + 5*u + 3. What is n(i)?
-3
Let p(m) = -m**3 + 10*m**2 - 25*m - 54. Let j(i) = -i**3 + 11*i**2 - 31*i - 56. Let h(z) = 5*j(z) - 6*p(z). Determine h(3).
11
Let c(j) = j**3 + 2*j**2
|
{
"pile_set_name": "DM Mathematics"
}
|
29*k**2 + 3. Let u(c) = 3*w(c) + 2*y(c). What is the derivative of u(p) wrt p?
-58*p
Let t(r) be the third derivative of -13*r**5/60 + 13*r**4/24 - 6*r**2. What is the second derivative of t(v) wrt v?
-26
Let x(h) be the second derivative of -1/10*h**5 - 1/2*h**2 + 0 + 0*h**4 + 0*h**3 + 2*h. Differentiate x(f) with respect to f.
-6*f**2
Let r be ((-12)/(-15))/((-1)/(-10)). Suppose 5*n + 10 = -5*b, 5*b - n = -0*n + r. Differentiate 2*j - 2*j**2 - 2*j - b wrt j.
-4*j
Let q(l) be the first derivative of -71*l**3/3 - 24*l - 6. Find the first derivative of q(s) wrt s.
-142*s
Let c(t) be the first derivative of -9*t**7/7 - t**4/2 + 10*t**3 - 22. What is the third derivative of c(d) wrt d?
-1080*d**3 - 12
Let b(q) be the first derivative of -3 + 0*q**2 + 0*q**5 - 1/3*q**6 + 0*q + q**3 + 0*q**4. What is the third derivative of b(t) wrt t?
-120*t**2
Let w(n) be the third derivative of n**6/10 + n**5/20 + 12*n**2. Find the third derivative of w(a) wrt a.
72
Suppose 5*t = -25, -5*y = -6*t + 2*t - 35. Differentiate -4 - 2*r**2 - y*r**2 - 3 - 5*r**2 wrt r.
-20*r
Let p(h) be the third derivative of h**7/35 + 7*h**5/60 + 6*h**2. What is the third derivative of p(s) wrt s?
144*s
Suppose -g = 0, 2 = k + 2*g + 3*g. What is the first derivative of -5*p**2 + p**k + 1 + 2*p**2 - p**2 wrt p?
-6*p
Let f(j) = 3*j + 6. Let y be f(-4). Let o(c) = c**3 + 7*c**2 + 6*c + 4. Let x be o(y). Find the third derivative of 4*z + 3*z**4 - x*z - 2*z**2 wrt z.
72*z
Let p(u) be the third derivative of 0 + 5*u**2 - 1/24*u**4 + 2/3*u**3 + 0*u. What is the first derivative of p(z) wrt z?
-1
What is the derivative of -8*p**2 + 27*p**2 - 12*p**2 + 6 wrt p?
14*p
Let j(w) = -w. Let v be j(-5). Find the second derivative of 2*p**5 - 4*p**5 - 2*p + p + 5*p**v wrt p.
60*p**3
Let p(q) be the first derivative of 0*q**2 + 1/3*q**3 + 3/2*q**4 + 0*q - 3. Find the third derivative of p(c) wrt c.
36
Let i = 12 + -7. Find the second derivative of -3*w**5 + 0*w**i + 2*w**5 + w wrt w.
-20*w**3
Let p(v) = 7*v**5 - 3*v**3 - 3*v**2 - 12*v. Let w(r) = 22*r**5 - 8*r**3 - 8*r**2 - 35*r. Let y(a) = 8*p(a) - 3*w(a). Find the second derivative of y(m) wrt m.
-200*m**3
Suppose 3*p + 6 = -k + 13, -4*p - 3*k = -6. What is the derivative of -3*t + 0*t - 5 + p*t + 3*t**2 wrt t?
6*t
Suppose -5 = -2*v - 3*h + 15, 5*v - 8 = 3*h. What is the second derivative of 0*q**4 + q + 6*q - q**v + q wrt q?
-12*q**2
Let z(g) be the first derivative of -7/5*g**5 + 3 + 0*g**4 + 0*g - 1/2*g**2 + 0*g**3. Find the second derivative of z(m) wrt m.
-84*m**2
Let m(s) be the second derivative of -3*s**7/14 - s**4/2 + 10*s. What is the third derivative of m(k) wrt k?
-540*k**2
What is the second derivative of -2*m**2 + m**2 - 6*m - 6*m**2 wrt m?
-14
Let b(d) = 23*d**3 + 3*d**2 + 12. Let w(h) = -24*h**3 - 4*h**2 - 13. Let r(m) = 4*b(m) + 3*w(m). What is the first derivative of r(k) wrt k?
60*k**2
Let k be (-2 - -1 - -1)/2. Suppose -5*d + k*d = -20. Find the second derivative of 3*t**4 - 4*t**4 + 4*t**d - 3*t wrt t.
36*t**2
Let g be (6/10)/((-1)/(-5)). Let w be (0 - 3)*(-2)/g. Find the second derivative of -b**3 + 0*b**3 - 2*b + w*b**3 wrt b.
6*b
Suppose 0*p + 2*p = 8. What is the second derivative of -3*v**5 + p*v**5 - 4*v**5 + 5*v + 0*v wrt v?
-60*v**3
Let f(s) = 5. Let h(c) = -c**2 - 6*c - 9 + 6*c. Let w(r) = 11*f(r) + 6*h(r). Differentiate w(i) wrt i.
-12*i
Suppose 0 = -2*w + 3*w. What is the first derivative of w*l + 2*l + 2*l - 1 - l wrt l?
3
Let c(s) = -s**2 - 6*s - 7. Let t(x) = x**2 + 2. Let m be t(-2). Let k(f) = 2*f**2 + 11*f + 13. Let h(o) = m*k(o) + 11*c(o). Differentiate h(g) wrt g.
2*g
Let z(k) be the first derivative of 11*k**3/3 - 3*k - 5. What is the derivative of z(m) wrt m?
22*m
Let r(n) be the third derivative of -13*n**8/112 - 7*n**4/8 - 13*n**2. What is the second derivative of r(a) wrt a?
-780*a**3
Let b(y) be the second derivative of y**8/7 + y**4/3 - 7*y. Find the third derivative of b(m) wrt m.
960*m**3
What is the third derivative of 4 + 16*i**6 - 3446*i**4 + 3446*i**4 + 10*i**2 wrt i?
1920*i**3
What is the third derivative of -4*r**6 - 5*r**2 + 5*r**2 - 3*r**2 + 13*r**6 wrt r?
1080*r**3
Let a(z) be the third derivative of -z**8/24 + 35*z**4/24 - 6*z**2. Find the second derivative of a(c) wrt c.
-280*c**3
Let m(z) be the first derivative of -z**5 - 4*z**2 - 2. Find the second derivative of m(d) wrt d.
-60*d**2
Let f(x) be the first derivative of x**6/6 - x**3 - 7. What is the third derivative of f(n) wrt n?
60*n**2
Let m(s) be the first derivative of -7*s**5/120 + s**4/6 - s**3 + 5. Let d(j) be the third derivative of m(j). Differentiate d(g) wrt g.
-7
Find the third derivative of 11*v**2 - 3*v**2 - 217*v**6 + 185*v**6 wrt v.
-3840*v**3
Let y = 3 + 5. What is the third derivative of 2*h**2 - y*h**2 + 0*h**3 + 4*h**3 wrt h?
24
Let p be (-18)/(-4) - 2/(-4). Suppose -p = -2*q + 7. Find the third derivative of 5*n**6 + 0*n**6 + 0*n**2 - 3*n**q + 2*n**2 wrt n.
240*n**3
Suppose 0 = -5*p - 5 + 15. Suppose -4 = -3*t + p. Find the third derivative of 5*x**2 - 5*x**5 - 2*x**t + 3*x**5 wrt x.
-120*x**2
Suppose -f - 2*f = -6. Let u be 1 - (-1 - (2 - f)). Find the third derivative of 0*y**2 + y**6 - y**u - 3*y**6 wrt y.
-240*y**3
Let j(o) = o**5 - o**4 - o**3 + 1. Let u(i) = -5*i**5 - 5*i**4 - 5*i**3 - 21*i**2 + 5. Let h(c) = 5*j(c) - u(c). What is the third derivative of h(k) wrt k?
600*k**2
Let w(c) be the first derivative of c**6/5 + c**3 - 9*c - 10. Let s(r) be the first derivative of w(r). What is the second derivative of s(q) wrt q?
72*q**2
Let h = -6 - -8. What is the third derivative of 23 - k**h - 4*k**6 - 23 wrt k?
-480*k**3
Suppose 4*v + 45 = 9*v. Find the third derivative of v - 3 - 6 + 8*q**2 - q**5 wrt q.
-60*q**2
What is the derivative of 11*x**4 - 27*x**4 + 5 + 14*x**4 wrt x?
-8*x**3
Let l be (1/(-3))/(2/(-6)). Let i(a) = -a**2 - 5*a + 4. Let q(g) = -g. Let f(j) = l*i(j) - 5*q(j). Find the first derivative of f(c) wrt c.
-2*c
Let t(u) be the second derivative of -u**8/336 + u**5/60 + u**2/2 - 3*u. Let v(s) be the first derivative of t(s). What is the third derivative of v(g) wrt g?
-60*g**2
Let a = -5 - -9. What is the second derivative of 0*q**4 + q**a - 2*q**4 - 3*q wrt q?
-12*q**2
Find the third derivative of 3*f - 4*f + 3*f**2 + f - 3*f**4 wrt f.
-72*f
Let k(c) = -3*c**3 - 11*c**2 - 14*c. Let y(d) = d**2 + d. Let s(p) = -2*k(p) - 22*y(p). What is the second derivative of s(r) wrt r?
36*r
Let i(r) be the second derivative of -r**3/6 - 2*r**2 - r. Let f be i(-6). What is the third derivative of 0*t**f - 2*t**2 - 3*t**4 + 5*t**4 wrt t?
48*t
Let n(g) = g - 5. Let f(k) = 2*k**3 - 3*k**2 + k + 2. Let c be f(2). Let y be n(c). What is the second derivative of 3*r**3 - 3*r**4 - 3*r**y + 2*r wrt r?
-36*r**2
Let q = -1 - 2. Let g = 4 + q. Differentiate -g - 2*v**2 + 4*v**2 - v**2 with respect to v.
2*v
Let t(m) = -m - 1. Let v be t(-4). Find the second derivative of 0*a**v + 39 - 39 - a**3 + a wrt a.
-6*a
Let v be 3 + (-3 - -3 - 3). Suppose 5*d = 2*l + 45, v = 2*l + 9 + 1. Find the third derivative of -4*x**2 - 2*x**3 - 2*x**5 + d*x**2 + 2*x**3 wrt x.
-120*x**2
Let c(y) be the first derivative of -31*y**6/6 - 13*y**3/3 + 10. What is the third derivative of c(u) wrt u?
-1860*u**2
Find the second derivative of 0*j**3 + 7*j**3 + 12*j - 9*j - 4*j wrt j.
42*j
Let w(z) be the first derivative of z**8/112 + z**5/60 + z**2/2 - 3. Let i(r) be the second derivative of w(r). Find the third derivative of i(f) wrt f.
180*f**2
Let g(p) be the third derivative of -p**4/2 + p**3/2 - 5*p**2. Differentiate g(b) with respect to b.
-12
Let h be -16 - 0/2 - 0. Let d be 4/h + (-17)/(-4). Find the third derivative of -i**5 - 9*i**3 + d*i**5 + 9*i**3 - 3*i**2 wrt i.
180*i**2
Find the third derivative of -8*s**5 + 66*s**2 - 114*s**2 + 73*s**2 wrt s.
-480*s**2
Suppose 7*i + 4 = 8*i. Find the second derivative of -4*f**4 - 2*f + 9*f**i - 2*f wrt f.
60*f**2
Let d(u) be the third derivative of 1/12*u**4 + 0 + 0*u - 4*u**2 - 1/3*u**3. Differentiate d(z) wrt z.
2
Find the second derivative of -5*p - 3*p + 12*p**5 - 7*p**5 wrt p.
100*p**3
Find the third derivative of 0*s**2 - 5*s**2 + 71*s + 25*s**5 - 71*s wrt s.
1500*s**2
Let p(q) be the third derivative of q**8/280 - q**4/6 - q**3 + 4*q**2. Let x(b) be the first derivative of p(b). Different
|
{
"pile_set_name": "DM Mathematics"
}
|
3*t - 4*t + (-2*t - 5 + 5)*(3 + 1 - 2) + 2*t - t + t.
21*t
Expand (1 - 3 + 0)*(30*x**4 - 25*x**2 + 46*x**2 - 23*x**2).
-60*x**4 + 4*x**2
Expand (-2*l + 8 + 0 - 6)*(-l**3 + 2*l - 3*l + 0*l).
2*l**4 - 2*l**3 + 2*l**2 - 2*l
Expand 2*i**2 - i**2 + 0*i**2 + (-i + 4*i + 9*i)*(3*i - i - 4*i).
-23*i**2
Expand (3 - 3 + 4)*(2*l + 3 - 3)*(5*l + 0*l - 3*l)*(3 - 2 + 4).
80*l**2
Expand (0 - 2 + 1)*(23*m - 18*m - 6*m).
m
Expand (2*x - 4*x + x)*(10 - 36 - 12)*(2*x - 4*x + x).
-38*x**2
Expand ((4 - 4 - 1)*(0 - 2 + 1) + 2 + 3 + 4)*((3*n + 2*n - 6*n)*(3*n**3 - n**3 - 3*n**3) + 1 + 2*n**4 - 1).
30*n**4
Expand (-688*d**3 - 36*d**4 + 688*d**3)*(0 - 3 + 4)*(0 - 1 - 2).
108*d**4
Expand (4 - 5 + 4)*(a**2 - 7*a**2 + 3*a**2)*(-4*a + 0*a - a + (7*a - a - 4*a)*(-4 + 6 - 4)).
81*a**3
Expand (-3 + 3 + v**2)*(-3*v - 3*v + 5*v) - 2*v**3 + 0*v**3 + 0*v**3 + v**3 + 2*v**3 + 22*v - 2*v**3.
-2*v**3 + 22*v
Expand (-3*h**2 + 3*h**2 + 6*h**2)*(-3*h + 2*h - h + (3 - 6 + 1)*(2*h + 0 + 0) + 5*h - h - 5*h).
-42*h**3
Expand (10*q - 4*q - 8*q)*(3*q**2 + 2*q**2 - 4*q**2)*(12*q**2 - 228*q + 228*q).
-24*q**5
Expand 6*m**5 - 3*m**5 + 382*m**3 - 431*m**3 + (0*m**2 + 5*m**2 - 4*m**2)*(m**3 - 5*m**3 + 3*m**3).
2*m**5 - 49*m**3
Expand (-509 + 1015 - 506 - 69*w)*(3*w**2 + 0*w**2 - 2*w**2).
-69*w**3
Expand ((-2 - 2 + 2)*(0*x + 2*x - 5*x) + 5*x - 3*x + 0*x)*(0 + 0 + 6).
48*x
Expand (b + 3 - 3)*(-1 + 2 + 1) - 84*b + 658*b - 279*b.
297*b
Expand (4 - 4 + 4 + (5 - 2 - 1)*(17 - 12 + 11))*(-2*q**3 + q**3 + 0*q**3).
-36*q**3
Expand 128*h**2 + 2 + 2 - 5 + 0*h + 0*h + h**2 + 0 + 0 - 2*h**2 + 2*h**2 - 4*h**2 + h**2 + (-3*h - h + 6*h)*(h - h + 2*h) + 1 - 1 + 2*h**2.
132*h**2 - 1
Expand (-2*w**2 - 2*w**2 + 2*w**2)*(-42*w**2 - 2878*w + 2876*w - 23*w**2).
130*w**4 + 4*w**3
Expand (4 - 2 + 0)*(2 + 5 + 0)*(3 - 3 - 4*d)*(1 + 0 + 1)*(-3 + 1 + 1)*(0 + 0 + 4).
448*d
Expand (-1 - 2 + 7)*(-3*p**2 + 3*p**2 - p**4) + 0*p**3 + 0*p**3 - 4*p**4 + (p**2 + 2*p - 2*p)*(p**2 + 2*p**2 - p**2) + 2*p**4 - p**4 + 3*p**4.
-2*p**4
Expand (-q - 5*q + 27*q)*(5 + 4 - 12 - 4).
-147*q
Expand (3*j + j - 7*j)*(2 + 0 - 1)*(-1 + 2 + 2).
-9*j
Expand (5*v**4 - 2*v**4 + 4*v**4)*(-3*v + 7*v + 6 - 3*v).
7*v**5 + 42*v**4
Expand -2*x**3 + x**3 + 0*x**3 + (-12 + 5 - 11*x + 9*x)*(-x + x + 4*x**2).
-9*x**3 - 28*x**2
Expand (1 + 0 - 5)*((-31 + 31 - 3*w)*(-5*w**4 + 3*w**4 + 4*w**4) + 0*w**5 + 3*w**5 - w**5 + 1 - w**5 - 1 + (2*w**3 - 3*w**3 + 2*w**3)*(-2*w**2 + w - w)).
28*w**5
Expand (526 + 2266*h**2 - 269 - 255)*(-h - h + 4*h).
4532*h**3 + 4*h
Expand (0 + 0 - z**2)*(3*z + 2*z - 4*z + (-2*z + 7*z - 3*z)*(4 - 1 - 1))*(6*z**2 - 15*z**2 + 8*z**2 + 19).
5*z**5 - 95*z**3
Expand 0 + 0 - l**4 + (0*l - l - l)*(3*l**3 + l**3 - 7*l**3) - 15*l**4 - 5*l**4 - 3*l**4.
-18*l**4
Expand 2*a**3 - 2*a**4 + 3*a - 3*a + (2*a**3 - 2*a**3 - 2*a**3)*(2*a - a - 3*a) - 63*a**3 + 63*a**3 - 7*a**4.
-5*a**4 + 2*a**3
Expand c**5 - 2*c**2 + 2*c**2 + 10*c**5 + 14*c**5 + 9*c**5 - 2 + 2 + 3*c**5 + (c**2 - 4*c**2 + c**2)*(-c**3 + c**3 + c**3).
35*c**5
Expand 19*l + 31*l - 14*l + 2*l + 2*l - 5*l - 4*l + 5*l - 2*l + (-2*l + 0*l + l)*(2 - 1 + 1) + 2*l + l - l.
34*l
Expand (2*s**3 + 11*s**3 + 0*s**3)*(15 + s - 15).
13*s**4
Expand -a - 2*a + 2*a + 0 + a + 0 + (-3 + 5 - 4)*(1 - 1 + 2*a) - 2*a - 5*a + 4*a + (161 + 159 - 365)*(0*a - 3*a + 5*a).
-97*a
Expand (4*h - 5*h - 2*h - 3*h + 4*h + h + 6*h - 3*h - h - 3*h - h + 6*h + (-3*h + 3*h + 2*h)*(-1 + 4 - 2) + 2 - 2*h - 2 + 1 + h - 1)*(11*h - 107*h - 30*h).
-504*h**2
Expand -q**5 + q**5 + 5*q**5 + (-2*q**5 - q**5 + q**5)*(-1 - 3 + 6) + 3*q - 21*q + 11*q + 11*q**5.
12*q**5 - 7*q
Expand (0 + 0 + 2*u)*(-154*u + 156*u + 132 + 192).
4*u**2 + 648*u
Expand 226*o + 224*o - 455*o + (0 + 0 - 2*o)*(-1 - 4 + 3).
-o
Expand 3 + 1 + 3*v**3 - 2 + 3*v**3 - 4*v**3 - v**3 + (0 + 2 + 0)*(-3650*v**2 + 3650*v**2 + 34*v**3).
69*v**3 + 2
Expand ((3*u + 7*u - 5*u)*(0*u - 3*u + 4*u) + 7 + 4*u**2 - 7 + (0*u**2 - 3*u**2 + 4*u**2)*(1 + 0 + 1))*(0 - 3*u + 0).
-33*u**3
Expand (-g + 55 - 11*g + 14*g)*((-4 + 5 - 3)*(4 - 2 + 0) - 5 + 3 + 4).
-4*g - 110
Expand ((-p - 3 + 3)*(-9 + 9 - 7*p) + 3*p**2 - p**2 - 5*p**2)*(-p + 0*p - 2*p)*(-p - 2*p + 2*p).
12*p**4
Expand (4*x - 2 + 4*x**3 - 4*x)*(209 - 209 + 145*x).
580*x**4 - 290*x
Expand -11*y**3 + 3 - 3 + (2 - 2 - 3)*(-3*y**3 + 5*y**3 - 4*y**3) - 659*y - 2*y**3 + 659*y + 3.
-7*y**3 + 3
Expand -4*h + h + 2*h + (0*h + 0*h + 2*h)*(-2 + 3 - 3) + 16*h - 26 - 10 - 18*h + 0*h + 0*h + 2*h + 0*h + 0*h - 2*h + (-1 + 3 - 4)*(3*h - 3*h + 2*h).
-11*h - 36
Expand 98 - 81 - 3*y + 0*y + (0 + 2 - 3)*(-1 + 3 + 0)*(4*y - 3*y - 2*y).
-y + 17
Expand (-2*c + 5*c - 2*c)*(36 - 9*c**3 + 4*c**3 - 51).
-5*c**4 - 15*c
Expand (8*y - 16*y - 9*y + 1 - 1 + 3*y + (-1 + 1 + 2*y)*(-1 - 4 + 3) + y - 5*y + 3*y - 4 + 4 - y)*(-6 + 6 - 4*y).
80*y**2
Expand -12*m**4 - m**3 - 13*m**4 + 0*m**3 + (1 - 1 + 2)*(2*m**4 - 3*m**2 + 3*m**2) - 2*m**4 - 3*m**4 + 19*m**4.
-7*m**4 - m**3
Expand (-1 + 3 + 1)*(-g - g + 0*g)*(39*g**3 + 25*g**3 + g**3).
-390*g**4
Expand 85*m**3 - 31*m**3 + 2 - 66*m**2 - 56*m**3 + (2*m**3 - 2*m**3 - m**3)*(-3 - 2 + 3) + m**3 + m**3 + 0*m**3.
2*m**3 - 66*m**2 + 2
Expand (-7*x**3 - 5*x**3 + 3*x**3)*(-18 - 15 - 109 - 6 + 2).
1314*x**3
Expand (2*w**2 + 217*w**4 - 214*w**4 + 0*w**2)*(4 - 1 - 2)*(5 - 3 + 0).
6*w**4 + 4*w**2
Expand -3*r**5 - r**5 + 5*r**5 + (4*r - 4*r + 5*r**2)*(-4 + 0 + 0)*(-r**3 - 3*r**3 + 5*r**3).
-19*r**5
Expand (2*x + 2*x - 6*x)*(-4*x + 5*x - 3*x) - 2*x**2 - 3*x**2 + 3*x**2 - 6*x**2 - 6*x**2 + 18*x**2 + 0*x**2 + x**2 - 4*x**2.
5*x**2
Expand (-6*l**2 + 4*l**2 + 3*l**2 + (0*l - l + 5*l)*(3 - 2*l - 3))*(8 - 4 + 4)*(-1 - 4 + 0).
280*l**2
Expand (0 + u**2 + 0)*(0*u + u + 13*u)*(-1 - 1 + 1).
-14*u**3
Expand -2 + 2 - 2*j**5 - j**4 + j**4 - j**5 + (-j + 1 - 1)*(-1 + 1 + j**4) + 3*j**3 - 3*j**3 - j**5 + (-329*j**5 + 180*j**5 + 39*j**5)*(0 + 1 + 1).
-225*j**5
Expand (-6*t - 7 + 7)*(-12 + 2 + 1).
54*t
Expand (9 - 2 + 12)*(-10*d + 10*d - 1 - 4*d**2).
-76*d**2 - 19
Expand -3*z**2 + 2*z**5 + 2*z**2 - 3*z**5 + (-44 - 19 - 5)*(0*z + 3*z**5 + 0*z).
-205*z**5 - z**2
Expand (0*h**3 + 3*h**3 + h**3 + 0*h**3 + 5*h**3 - 3*h**3 + (h + 0*h + 0*h)*(-16*h**2 - 17 + 17))*(2*h - h + h - 1).
-20*h**4 + 10*h**3
Expand -4*r + 0*r + 5*r + (8 + 0 - 3 + (-2 - 1 + 5)*(2 + 0 + 0))*(-2 - 2*r + 2).
-17*r
Expand (-4 + h + 4)*(0*h + 5*h + 0*h + (-2*h + 0*h + h)*(-3 + 0 + 4) + 2*h + h - h) + 4220 - 4220 + 45*h**2.
51*h**2
Expand (3 - 4 - 6*o + 3)*(-2*o**2 - 9*o**3 - 3 + 3*o**3 - 3).
36*o**4 - 4*o**2 + 36*o - 12
Expand -y**2 + y**2 + 4*y**2 - 2*y**2 + 5*y - 5*y + 1 + y**2 - 1 + (-1 - 2 + 4)*(2*y**2 - y + y) + (8 - 2 + 13)*(1 - 1 - y**2).
-14*y**2
Expand (20 + 9 - 11)*(1 - 1 - 3)*(-3*f + f + 0*f) + 3*f + 0*f - 5*f + (1 + 2 - 5)*(-2*f + 3*f + 0*f).
104*f
Expand (-2*u - 3 + 3 + 0*u + u + 0*u + (-6 + 2 + 5)*(-2*u + 3*u + u))*(43*u - 43*u - 10*u**2).
-10*u**3
Expand -2*h + 7*h + 12*h + 4*h + 40*h + 20*h + (h - 5*h + 2*h)*(-1 + 2 + 1).
77*h
Expand (1 - 11 - 3)*(-60*o + 96*o - 53*o)*(-4 + 5 - 3 - 1 - 4 + 4 + (1 + 0 - 3)*(-2 - 3 + 3) - 1 - 3 + 5 + 2 - 2 + 2).
884*o
Expand (-2*r + 2*r - r)*(0*r**3 + 2*r**3 - 4*r**3) + (-3*r**2 + 4*r**2 + 0*r**2)*(-5*r**2 + 4*r**2 + 15*r**2).
16*r**4
Expand (4*c**3 - 2*c**3 + 4*c**3)*(-3*c**2 - c**2 + 2*c**2) + (-3*c - c + 5*c)*(0*c**4 - 2*c**4 - c**4).
-15*c**5
Expand (-3*j**2 - j**2 + j**2)*(-4 + 4 - j) + 7*j**3 - 1592*j + 1592*j + (3*j - j - j)*(2*j**2 - j**2 + j**2).
12*j**3
Expand (i**4 - i**4 - i**4)*(-28 + 19*i + 28)*(4 + 0 + 0) + (0*i**4 + 3*i**4 - i**4)*(0 + i + 0).
-74*i**5
Expand (-14*b - 21*b + 11*b)*(-1 - 19 - 1)*(-4 + 0 + 2).
-1008*b
Expand (-2*f + 56*f + 20*f)*(-31*f - 4*f**2 + 31*f) + (-f - 5*f + 4*f)*(f**2 + 2*f**2 - f**2).
-300*f**3
Expand (2*x**4 - x**4 + 0*x**4)*(316 - 9 + 1).
308*x**4
Expand -18*o**2 + 16*o**2 + 3*o**2 + 3*o**3 - 1 - 3*o + (3*o - 1 + 1)*(-2*o**2 - 2*o**2 + 2*o**2).
-3*o**3 + o**2 - 3*o - 1
Expand r - r**5 - r + 4*r - 4*r + r**5 + (4*r**4 - 3*r**4 + 0*r**4)*(-r + 0*r + 3*r) - r**5 + 3*r**5 - r**5 + 4*r**5 + 0 + 0 - 77*r**3 + 77*r**3 + 13*r**5.
20*r**5
Expand (14 - 11*u**2 - 14)*(16*u**2 - 8*u**2 - 7*u**2 + 6).
-11*u**4 - 66*u**2
Expand ((-m - m + m)*(-2*m + m + 3*m) + 0*m**2 + 3*m**2 + m**2 - 3*m**2 + 5 - 5)*(-5*m + 4*m + 2*m)*((0*m + 2*m + 2*m)*(3 - 4 + 2) + 2*m - 6*m + 2*m).
-2*m**4
Expand (5*l + 0*l - 4*l)*(-3 + 7 + 0 + (40
|
{
"pile_set_name": "DM Mathematics"
}
|
3, 32
Sort -3/5, -1, -9, -2, -11.
-11, -9, -2, -1, -3/5
Put 0.5, -1, -3, 2 in decreasing order.
2, 0.5, -1, -3
Sort 1/2, 2/9, 0.3783 in descending order.
1/2, 0.3783, 2/9
Put -2, 2, 7, 4, 8 in decreasing order.
8, 7, 4, 2, -2
Sort -4, -191, -5 in ascending order.
-191, -5, -4
Put -1/9, 0, 100, -5 in decreasing order.
100, 0, -1/9, -5
Sort -0.4, -0.1, 5, -0.3, -0.192 in decreasing order.
5, -0.1, -0.192, -0.3, -0.4
Put 1, -782, 2 in descending order.
2, 1, -782
Sort 2/3, 4, 0.4, -0.5 in descending order.
4, 2/3, 0.4, -0.5
Put -16, -2, -6, -4 in descending order.
-2, -4, -6, -16
Sort 2/5, 1/3, -0.03.
-0.03, 1/3, 2/5
Sort 8, 9, -1.
-1, 8, 9
Sort -44, -5, -48 in descending order.
-5, -44, -48
Put -1/4, 5, -3, 0.4 in decreasing order.
5, 0.4, -1/4, -3
Sort -2, -1, 119 in descending order.
119, -1, -2
Put -7, -5, -11 in descending order.
-5, -7, -11
Sort -3, -1, 0, 2250, 1 in decreasing order.
2250, 1, 0, -1, -3
Sort -2, 2, 89, 4 in ascending order.
-2, 2, 4, 89
Sort -5, 0.51, -2/3.
-5, -2/3, 0.51
Sort 7, -4, -3 in descending order.
7, -3, -4
Sort 4, -15, 25, -0.5 in decreasing order.
25, 4, -0.5, -15
Sort -2, 6, 0, 3, -3 in descending order.
6, 3, 0, -2, -3
Sort -7, 0, 3, -5.
-7, -5, 0, 3
Sort 1, 0, 4, -3 in decreasing order.
4, 1, 0, -3
Put -34, 3, -1 in increasing order.
-34, -1, 3
Put -2/7, 3/8, 1 in decreasing order.
1, 3/8, -2/7
Sort 11, -6, -5.
-6, -5, 11
Sort -88, -1, 138.
-88, -1, 138
Put -4, -1/14, -0.8, -1 in decreasing order.
-1/14, -0.8, -1, -4
Put 1, -3, -54 in increasing order.
-54, -3, 1
Sort -5, 0, 28.
-5, 0, 28
Put -0.1, -0.2, 0.121, 1 in decreasing order.
1, 0.121, -0.1, -0.2
Put -4, -9, -5 in decreasing order.
-4, -5, -9
Put 45, 2, -2, -8 in increasing order.
-8, -2, 2, 45
Put -2, 3, -65, 2/13, -39 in descending order.
3, 2/13, -2, -39, -65
Put 1/3, 207, 4 in decreasing order.
207, 4, 1/3
Sort -3/4, 9, 1 in descending order.
9, 1, -3/4
Put -4, 3, 1, -26 in decreasing order.
3, 1, -4, -26
Put 84, -1/33, 4 in descending order.
84, 4, -1/33
Sort 18, -9, 0.
-9, 0, 18
Sort -2/9, 3, 28.
-2/9, 3, 28
Sort -2, -19, -5, -4 in descending order.
-2, -4, -5, -19
Sort 1, -1, -2, -19 in descending order.
1, -1, -2, -19
Sort 3, 9, 16, -4/9 in descending order.
16, 9, 3, -4/9
Put 1/12, -11/3, 6, -3/8 in increasing order.
-11/3, -3/8, 1/12, 6
Sort -30, -15, 5.
-30, -15, 5
Put -3, -606, 3 in decreasing order.
3, -3, -606
Sort -35, 5, 4, 1 in decreasing order.
5, 4, 1, -35
Sort 4, 2, -217, -2 in descending order.
4, 2, -2, -217
Sort 45, 1, 5, 4 in decreasing order.
45, 5, 4, 1
Sort -5, 2, 3, 13 in increasing order.
-5, 2, 3, 13
Put 0, 0.1, -349 in increasing order.
-349, 0, 0.1
Sort -1/6, -0.3, 0.05, -5, 5/4 in increasing order.
-5, -0.3, -1/6, 0.05, 5/4
Sort 0, 102, -7, 2.
-7, 0, 2, 102
Sort 2/67, -0.4, 1/5, 12.5.
-0.4, 2/67, 1/5, 12.5
Put -4, 0, -3, 4 in increasing order.
-4, -3, 0, 4
Put 5/3, -0.9, -3 in descending order.
5/3, -0.9, -3
Sort 0, -1/4, 5, 1/46.
-1/4, 0, 1/46, 5
Sort 6, -5, 682, -4.
-5, -4, 6, 682
Put -5, 0, 5, 4 in descending order.
5, 4, 0, -5
Sort -4, 5, 4 in ascending order.
-4, 4, 5
Put -2/9, -0.4, -10, 1/10 in descending order.
1/10, -2/9, -0.4, -10
Put -1, 4/3, -10.01 in descending order.
4/3, -1, -10.01
Sort -2, -6, -4, 60, 2 in descending order.
60, 2, -2, -4, -6
Put -7, 2, 1.9 in descending order.
2, 1.9, -7
Sort 4, -10, 30 in ascending order.
-10, 4, 30
Put 4, 149, 15 in increasing order.
4, 15, 149
Put -0.31, 2, 4, -2/15, -4 in decreasing order.
4, 2, -2/15, -0.31, -4
Sort 0, -0.2, -3, 2, -3/2 in descending order.
2, 0, -0.2, -3/2, -3
Sort -1/2, 1/19, 1501 in decreasing order.
1501, 1/19, -1/2
Put -0.4, -0.02, 1665 in increasing order.
-0.4, -0.02, 1665
Put 0, -2, -16 in decreasing order.
0, -2, -16
Sort -2/11, 5, -4, -9 in descending order.
5, -2/11, -4, -9
Put -35, 2, 21 in decreasing order.
21, 2, -35
Sort -2, -544, 2, 2/15 in increasing order.
-544, -2, 2/15, 2
Put 0, -2/9, 2/9, 3/4 in decreasing order.
3/4, 2/9, 0, -2/9
Sort 290, 3, -0.5, -4/9 in increasing order.
-0.5, -4/9, 3, 290
Put -1, 4, 0, -2 in descending order.
4, 0, -1, -2
Sort -9, 2, 0, -2, -3 in increasing order.
-9, -3, -2, 0, 2
Sort -3, 5, -5 in increasing order.
-5, -3, 5
Sort 76, 1/3, 0.08 in decreasing order.
76, 1/3, 0.08
Sort 6, 1.5, 1 in descending order.
6, 1.5, 1
Put 3, 5, -4, 16 in decreasing order.
16, 5, 3, -4
Sort 0, -1, 41.
-1, 0, 41
Put 1, 2, -96, -3 in increasing order.
-96, -3, 1, 2
Put 5, 1, -0.61, -4 in ascending order.
-4, -0.61, 1, 5
Sort -7, 8, -5, 0, -3 in decreasing order.
8, 0, -3, -5, -7
Sort 5, 0.4, -80.
-80, 0.4, 5
Put 2, -32, 5, 12 in increasing order.
-32, 2, 5, 12
Sort 0.5, -2/21, -4, -1.
-4, -1, -2/21, 0.5
Sort -78, -2, -2/5, 0.4.
-78, -2, -2/5, 0.4
Put -4, 5, 1, 63, -1 in decreasing order.
63, 5, 1, -1, -4
Put 6, -1, 5, -4 in decreasing order.
6, 5, -1, -4
Put 4, -4, -3, 6 in increasing order.
-4, -3, 4, 6
Put 53, 2, -3 in descending order.
53, 2, -3
Sort 1/5, 0.3, -9, -2/11 in ascending order.
-9, -2/11, 1/5, 0.3
Sort 5/2, -3, -30 in descending order.
5/2, -3, -30
Sort 3, 31, -3 in descending order.
31, 3, -3
Put -45, 5, -23 in ascending order.
-45, -23, 5
Put 0.5, -0.3, 5/14, 17 in decreasing order.
17, 0.5, 5/14, -0.3
Sort 2, 3, -2, -8 in decreasing order.
3, 2, -2, -8
Sort -3, -5, 324 in decreasing order.
324, -3, -5
Sort 1, -4, 9 in ascending order.
-4, 1, 9
Put 3, -735, 4 in descending order.
4, 3, -735
Put -4, 0, 0.177, 1/2 in ascending order.
-4, 0, 0.177, 1/2
Put -146, -13, -4 in increasing order.
-146, -13, -4
Put -4, -2, 0, -8 in decreasing order.
0, -2, -4, -8
Sort 2, -1, -55, 3.
-55, -1, 2, 3
Put 1/3, 4/7, -3, -0.6 in increasing order.
-3, -0.6, 1/3, 4/7
Sort 1/4, 0.1, -0.2, -0.06 in increasing order.
-0.2, -0.06, 0.1, 1/4
Sort -3, -8, 0.4, 2/13.
-8, -3, 2/13, 0.4
Sort 3, 1, -307 in ascending order.
-307, 1, 3
Sort 5, 3, 0, -7 in ascending order.
-7, 0, 3, 5
Put -0.1, -11, -2/175 in decreasing order.
-2/175, -0.1, -11
Sort 5, -2, 191, -3.
-3, -2, 5, 191
Sort 0, -2, 23, 1.
-2, 0, 1, 23
Sort -5, -2, 1, 0 in ascending order.
-5, -2, 0, 1
Put 2/13, -2/5, -4, -0.33 in descending order.
2/13, -0.33, -2/5, -4
Put 16, -5, -17, 3 in decreasing order.
16, 3, -5, -17
Put -4, -5, 0, 2, 189 in decreasing order.
189, 2, 0, -4, -5
Sort 1, 4, -6, -1, 0.
-6, -1, 0, 1, 4
Put -48, 2/9, 3, -2/7 in increasing order.
-48, -2/7, 2/9, 3
Put -3, 7, 5, -2, 69 in decreasing order.
69, 7, 5, -2, -3
Put -4, 8, 6 in descending order.
8, 6, -4
Put -4, -1, -3, 26, -5 in descending order.
26, -1, -3, -4, -5
Sort 4, 2/7, -18/7 in ascending order.
-18/7, 2/7, 4
Sort -1, -2, 3 in increasing order.
-2, -1, 3
Put -3, -4, -5, -1, 2 in decreasing order.
2, -1, -3, -4, -5
Sort 1.4, -0.1, -3, 4 in ascending order.
-3, -0.1, 1.4, 4
Put 3, -1, 41, -5 in decreasing order.
41, 3, -1, -5
Sort 1, -6, -0.3, 7, -5 in ascending order.
-6, -5, -0.3, 1, 7
Sort 0, -0.4, 7 in increasing order.
-0.4, 0, 7
Sort 4, -1, 3, 2, 1 in decreasing order.
4, 3, 2, 1, -1
Put 0, 2, 5, 1, 53 in increasing order.
0, 1, 2, 5, 53
Put 2, 1, 3, 1583 in increasing order.
1, 2, 3, 1583
Sort -4, -1, 1, 2/7 in decreasing order.
1, 2/7, -1, -4
Put -30, 3, -5 in descending order.
3, -5, -30
Sort -48, 4, -5 in descending order.
4, -5, -48
Put 5/4, -2/3, -10/63 in increasing order.
-2/3, -10/63, 5/4
Sort 5, 2, 100, -3 in decreasing order.
100, 5, 2, -3
Put 3, -50, 5, 2 in decreasing order.
5, 3, 2, -50
Put 5, -20, -5/3 in descending order.
5, -5/3, -20
Sort -2/3, -2/11, 0.5, 5.
-2/3, -2/11, 0.5, 5
Put -6, 4, -3, 720 in increasing order.
-6, -3, 4, 720
Put -0.9, 0.4, -4 in ascending order.
-4, -0.9, 0.4
Sort -7, 5, 30, -3, 0 in decreasing order.
30, 5, 0, -3, -7
Sort 3, -6, -5 in decreasing order.
3, -5, -6
Put -1, 4, 0, -28 in decreasing order.
4, 0, -1, -28
Sort 3, 1/7, 2/3, 2 in descending order.
3, 2, 2/3, 1/7
Put 3, 6, -1, 2 in decreasing order.
6, 3, 2, -1
Sort 38, -2, 8, -5 in increasing order.
-5, -2, 8, 38
Sort 0, 63, -20 in decreasing order.
63, 0, -20
Put 21, -4, 2 in decreasing order.
21, 2, -4
Sort 4, 17, -1, -2, -5 in increasing order.
-5, -2, -1, 4, 17
Sort -4/5, 0.1, 0, -2/7, 1 in descending order.
1, 0.1, 0, -2/7, -4/5
Sort 1, -0.2, -13.6 in increasing order.
-13.6, -0.2, 1
Put 6, -4/11, 4, 5/6 in descending order.
6, 4, 5/6, -4/11
Put 72, 5, -4, 1 in descending order.
|
{
"pile_set_name": "DM Mathematics"
}
|
*c**3 + 495*c**3 - 215*c**3 - 1 to o*c + j*c**2 + q*c**3 + r and give r.
-4
Express (-302 + 356 - 175)*(2*s + 2*s - 5*s)*(s + 2*s - 6*s) - s**2 + 3*s**2 - s**2 as b + f*s**2 + o*s and give f.
-362
Express (0 - 2 + 4)*(-x - 2*x + 0*x) - 69 + 514*x + 69 in the form f*x + i and give i.
0
Rearrange -872*t**2 - 406*t**2 - 105*t**2 - 181*t**2 to the form g*t + m + a*t**2 and give a.
-1564
Rearrange 5*j**3 + 2*j - 5*j**4 - 5 - 2*j + 0*j - 4*j**3 - 3*j to t*j**3 + z + s*j**4 + x*j + r*j**2 and give x.
-3
Rearrange (-1 - 7*j + 1 + 4*j + 0*j - 2*j + (-2*j - j + 4*j)*(-2 + 2 - 1) + 39 - 39 - 32*j + 0*j - j + 2*j)*(5 - 3 + 2) to the form o + g*j and give g.
-148
Rearrange 1 - 25 + 3 + 5 + 3*g + 17*g to the form h + y*g and give h.
-16
Rearrange (-2 + 3 + 2)*(-220*b - 115*b - 172*b + 3*b - 2*b - 3*b + (2 + 1 - 1)*(0*b - 3*b + 2*b) - 2*b - b + b) to y*b + o and give y.
-1539
Express -2*a**2 - 3*a**3 + 6*a**3 - 2*a**3 - 3 - 13*a + 16*a in the form y + b*a + v*a**3 + t*a**2 and give b.
3
Rearrange j**3 + 2*j - 2317*j**2 - 2 + 2317*j**2 to the form i*j + y*j**3 + k*j**2 + r and give r.
-2
Express -55*q + 48*q - 9 - 3 as l + u*q and give l.
-12
Rearrange 10*o + 5*o + 9*o + 2*o**3 to the form p*o**3 + l + n*o + t*o**2 and give t.
0
Express -2*w**3 - 54 + 10*w**4 - 2*w + 3*w**3 + 55 in the form q*w**3 + g + p*w**4 + t*w**2 + j*w and give g.
1
Rearrange 2*x**3 - x - 90*x**2 - 5 + 89*x**2 - 2*x - 1 to n*x**3 + w + f*x**2 + k*x and give k.
-3
Express (-31*v + 11*v - 17*v)*(2*v + 2*v + 5*v) as k*v + h + u*v**2 and give u.
-333
Rearrange (5*i - 5*i - i)*(-3*i + 0*i + 4*i) + 2*i**2 + 2*i**2 - 2*i**2 - 99*i**2 + 61 - 61 to m + v*i**2 + o*i and give v.
-98
Express -4*y**2 - 2*y**4 + 14*y + 0*y - 2*y - 3*y + 1 + 5*y**2 in the form r*y**4 + f*y**2 + i + a*y**3 + n*y and give r.
-2
Express (1 + 1 - 1)*(-10 + 10 - 10*b)*(0 + 22 - 1) as l + v*b and give v.
-210
Rearrange -3*f**2 - 2*f**2 + 1 - 4*f**2 - 25 + 6*f**2 to h*f + v + o*f**2 and give v.
-24
Rearrange 13*o**2 - o + 27*o**2 - 18*o**2 - 3*o - 2*o to s + q*o**2 + m*o and give m.
-6
Rearrange -9767 - 118*n**2 + 9767 - 7*n to x*n + h*n**2 + w and give x.
-7
Rearrange 121*r**2 - 1 - 306*r**2 - 1531*r + 1530*r to p*r + l + t*r**2 and give t.
-185
Express -40*t**2 + 64*t**2 + 118*t**2 + 114*t**2 as s + w*t + a*t**2 and give a.
256
Rearrange (3*w - 5*w + 3*w)*(33*w - 5*w + 2*w) to t*w + h + a*w**2 and give a.
30
Express (-4*a + 3*a + 3*a)*(12 - 185 - 102) as o + g*a and give g.
-550
Express -18 - 5*l**2 + 4*l**2 + 12 - 7*l**2 - 5 in the form u + w*l + m*l**2 and give m.
-8
Rearrange 10 + 18 + 17*f - 38 + 14 to z + x*f and give z.
4
Rearrange 38 - 23 + 254*x**2 - 15 + 195*x**2 to the form m*x + q*x**2 + a and give q.
449
Express 1318*k**3 - 2 - k**2 - k**2 + 1 - 1319*k**3 in the form j + d*k + w*k**2 + z*k**3 and give w.
-2
Rearrange 7*z**3 + 16 + 11*z + 52*z - 18 - 6*z**3 - 2*z**2 to y + q*z**2 + h*z**3 + s*z and give s.
63
Express (-43*g - 1074 + 1074)*(22 + 5 - 3) + 6*g - 3*g - 2*g - 1 - g + 1 + (0 - 4 + 2)*(0*g + 0*g - 2*g) in the form l*g + y and give l.
-1028
Rearrange (3*m**2 - m**2 - m**2 + (2*m**2 - 2*m**2 + m**2)*(3 - 5 + 3))*(-5*m - 5*m + 3*m) + 0 + 9*m**3 - 2 + 0 to s*m + a*m**2 + y + t*m**3 and give t.
-5
Express (j**2 - 1 + 2*j**2 - j**2)*((-83 - 12 - 48)*(-1 + 1 - 2) + 0 - 1 + 0) in the form z*j + v + k*j**2 and give v.
-285
Express (-3*i + 3*i + 3*i**3)*(3 - 4 + 2) + 3 - i**2 + 2*i + 31*i**3 - i**2 - 25*i**3 in the form n*i + w + s*i**2 + v*i**3 and give v.
9
Rearrange (-3*v**2 + 4*v**2 + 0*v**2)*(44 + 32*v + 17*v - 48*v) to m*v + b*v**3 + l*v**2 + w and give l.
44
Express 126*i**3 + i**2 + 1 - 54*i**4 - 270*i**3 + 143*i**3 + 5*i in the form d*i**3 + b*i + q*i**4 + p + v*i**2 and give p.
1
Rearrange (-5*w - w + 3*w)*(11 - 72 - 49 + 23) to x + v*w and give v.
261
Rearrange -2553*q + 1264*q + q**2 - 3*q**2 to the form s*q + v + t*q**2 and give s.
-1289
Express (-1 + 2 + 0)*(3*p**2 - 3*p**2 + 3*p**4) - 84*p**2 + 78*p**2 - 2*p**4 - 181*p**2 in the form j*p + t*p**4 + a*p**2 + g*p**3 + d and give g.
0
Express (5*s + 0 + 0)*(4 - 2 + 0) - 8 + 5 - 5*s - 3 in the form d*s + a and give d.
5
Rearrange 2*u + 8*u - 25*u - 15*u + (-3 + 3 - 2)*(5 - 5 - 3*u) + 0*u - 3*u + u to o*u + q and give o.
-26
Express 3*y - 14*y**2 + y**2 + 0*y + 10*y**2 - 2*y - 116 as h*y + p + v*y**2 and give v.
-3
Express (q**2 - 5*q**2 - q**2)*(-3*q**2 - 2*q**2 + q**2) + 27 + 35*q**4 - 27 + q**4 - q**4 + 2*q**4 in the form z*q**2 + p*q + r*q**3 + l + i*q**4 and give l.
0
Express 696*n - 696*n - 269*n**2 as f*n + h*n**2 + u and give h.
-269
Express 177 + 171 - 348 - 145*m as i + v*m and give v.
-145
Rearrange ((1 + 3 - 2)*(-5*n + 3*n + 3*n) + 4*n - n - n)*(568 - 373*n - 21*n - 566) to p + o*n**2 + r*n and give o.
-1576
Express (2*v + 3 - 6 + 1)*(-4 - 65 + 281) in the form j + x*v and give x.
424
Express -147*p - 314*p - 160*p + 95*p - 437*p as d*p + o and give d.
-963
Express -15197*y + 30331*y + 1 - 15266*y in the form o + t*y and give o.
1
Express (-6 + 11 + 7)*(-5 + 3 - 2)*(-2 + 2 + 4*d) as h*d + l and give h.
-192
Rearrange (a + a + a)*(0 - 2 + 1 - 3 + 4 + 0 + (4 - 2 - 1)*(2 - 1 + 1) - 5 + 1 + 3 + 2 - 2 + 1) to the form p + j*a and give j.
6
Rearrange 17*d**2 + 0*d**2 + 4 + 2839*d - 2839*d to m*d + w + q*d**2 and give q.
17
Express -p**3 - 7*p**2 - 2*p**2 - 6*p**2 + 3*p**2 in the form h*p + d*p**3 + w*p**2 + m and give w.
-12
Rearrange -64*p - 87*p + 5*p - 40*p - 102*p to the form t + d*p and give d.
-288
Rearrange 3*z**2 - 27*z - 7*z**3 + 25*z - z**4 - 4*z**2 + 2 to t*z**2 + i + o*z**4 + n*z**3 + a*z and give i.
2
Express -2*x + 1 + 16*x**3 - 1 - 405*x**4 + 376*x**4 in the form p*x**4 + l*x**2 + m*x + g + y*x**3 and give y.
16
Rearrange (-569 - 855 - 504 + 55)*(-3*l + 3*l - 2*l) to the form z + o*l and give o.
3746
Express (218 + 161*p**2 - 32*p**2 + 192*p**2 - 218)*(p**2 + p**2 - 4*p**2) as y*p + z*p**2 + j + h*p**3 + r*p**4 and give r.
-642
Rearrange (-3*v - v + 2*v)*(-71*v - 47*v + 26*v) to c*v + b + k*v**2 and give k.
184
Rearrange 14*w + 38*w - 89 + 89 to the form k + h*w and give h.
52
Rearrange (-4*a + 10*a - 19*a)*(a - a - 4*a**2) to the form u*a**3 + b + q*a + m*a**2 and give u.
52
Rearrange 173*y - 5 + 2 + 1 - 486*y to k + s*y and give s.
-313
Express (7 - 4*f - 7)*(-2 - 3 + 3) - 10*f + 3*f + 4*f as b + a*f and give a.
5
Express -72*o**3 - 46*o - 16*o**2 + 45*o + 18*o**2 as y*o + w*o**3 + j*o**2 + p and give y.
-1
Express 189*p**3 - 2*p + 10 - 10 + 1 in the form y*p + f*p**3 + t*p**2 + c and give c.
1
Express (2 - 6 + 3)*(-u**2 - u**2 - 3*u**2)*(-1 + 5 - 3)*(3*u + 0 + 0 + (-3 + 2 + 9)*(-1 - u + 1) + 2 + u - 2) in the form n*u + d*u**3 + h + v*u**2 and give d.
-20
Rearrange 4*g**2 - 279*g - 5*g**2 + 281*g + 6*g**3 + 2*g**2 to v*g**3 + l + w*g + o*g**2 and give l.
0
Express 6*i + 2 - 15*i + 22*i + 19*i as q + o*i and give o.
32
Rearrange 832*u**3 + 15*u - 21*u - 803*u**3 to a*u + o + c*u**3 + n*u**2 and give o.
0
Express 3 - 3 - 415*r - 50*r + (-2*r + 5 - 5)*(-1 - 4 + 3) + r + 2*r - 5*r - 6*r + 3*r + 2*r - r + 0 + 0 + (-3 - 4 + 5)*(1 - 1 - r) as j*r + t and give j.
-463
Rearrange 4*q**2 + 3*q**2 - 5*q**2 + (q - 2*q - 3*q)*(-373*q - 404*q - 228*q) to h*q + w + k*q**2 and give k.
4022
Rearrange (-j - 2*j + 4*j)*(3*j - 2*j + 0*j) + 2 + 7*j**2 - 2 + (3*j - j + j)*(-10 + j + 10) + 5*j**2 - 2*j**2 - j**2 to the form p + a*j + k*j**2 and give k.
13
Express -24*n - 92*n - 153*n + 65*n in the form v*n + p and give v.
-204
Express -176 + 50 + 3*w + 53 as d*w + o and give d.
3
Express (-3*b**2 - 5*b**2 - 3*b**2)*(-8*b + 6*b - 24*b)*(-4 + 2*b + 4) as n*b**3 + j*b**2 + f + l*b**4 + a*b and give l.
572
Rearrange (2 - 5 + 1)*(z - z - z) + (z - 5*z + 26*z)*(-13 + 0 - 7) + 1 - 1 + 2*z to the form y + o*z and give y.
0
Rearrange (-p**2 + 0*p**2 + 2*p**2)*(2*p - 3*p + 0*p) + 2*p**3 - 343*p + 385*p + p**3 to n*p**2 + y*p + u*p**3 + z and give u.
2
Express (z + 1 - 1 - 2*z + 3*z + z - 5*z + 5*z - z + (5 + 0 - 2)*(0*z + 0*z - z) - 1 - 2*z + 1 + 3*z + 3*z - 7*z)*(0 + 0 + 3*z) as o*z + h*z**2 + s and give h.
-12
Express (46*z - 66*z - 68*z)*(4 - 6 + 1)*(-4*z - 2*z + 4*z) as u*z + l + s*z**2 and give s.
-176
Rearrange 1 + 17 + 4*n - 5*n - 1 to b*n + s and give b.
-1
Express v**3 - 4 + 4*v - 2*v - 2*v**2 + v**4 + 12*v + 0*v**3 + 3*v**2 in the form g*v**4 + h*
|
{
"pile_set_name": "DM Mathematics"
}
|
ose -2*v + 3*b = 5*b - 10, 4*b = 2*v + 8. Let i(r) = r**2 - 6*r + 8. Suppose -9 = -3*d - 0. Let t be i(d). Put -5, t, v in ascending order.
-5, t, v
Let c be ((-9)/5)/(9/(-30)). Let r be 12/(-54) - (-4)/c. Put 3, r, 1/3 in ascending order.
1/3, r, 3
Suppose 0 = 4*u, 5*p = -5*u - 4 - 21. Let l(m) = -m**3 + 18*m**2 + 17*m + 39. Let d be l(19). Suppose 0*v = 3*v - 9. Sort d, v, p in increasing order.
p, d, v
Let x = -0.3 + -0.7. Let n = -94.4 - -93. Let v = n - -1. Sort x, v, 0.02.
x, v, 0.02
Let p = -5 + 10. Let b = -360 + 362. Suppose -2*m + 3 - 7 = 0. Put b, m, p in increasing order.
m, b, p
Suppose 24 = 2*a + 2*j, 3*a = -0*a + 2*j + 31. Let q be 5/15*(a - -1). Put 6, 3, q in descending order.
6, q, 3
Suppose 7 = 2*f - 3. Let m = -33 - -34. Put f, m, -0.5 in increasing order.
-0.5, m, f
Let r be (-2)/52*(-5 + 9). Let t = 44 - 47. Sort r, 0.01, -2, t.
t, -2, r, 0.01
Let z be -8*(14/(-4))/7. Suppose -90*g + 84*g - 12 = 0. Put z, 5, g in descending order.
5, z, g
Let s = -26.5 - -29.5. Sort s, 0.21, 1/2.
0.21, 1/2, s
Suppose 7*z - 28 = -14. Suppose 0*n - 2*n + 6 = 0. Suppose 5*y - 4*m = -z, 3*y + 3*m = 4*m + n. Sort y, -1/7, 0 in increasing order.
-1/7, 0, y
Suppose 15 = -5*c - 2*t - 4, -2*t = 4*c + 16. Sort 0, -2, c in descending order.
0, -2, c
Let i(c) = -c**2 - 2*c - 1. Let x be i(-4). Let q = -246 + 248. Sort -4, q, x in ascending order.
x, -4, q
Let v = 1.318 - -5.082. Sort v, -0.3, 0 in decreasing order.
v, 0, -0.3
Let o = 7.533 + -0.033. Let d = -4.5 + o. Put 11, d, 1/2 in decreasing order.
11, d, 1/2
Let f = -415 - -410. Sort f, 2, 12.
f, 2, 12
Let c = 0.23 - 3.23. Sort c, -17, -0.3, 2/7 in descending order.
2/7, -0.3, c, -17
Let x be (-3 - -3)*2/4. Let w be 276 - (-4)/8*x. Let f be w/(-66) + (-2)/(-11). Sort f, -5, 3.
-5, f, 3
Let u = 23 + -19. Suppose u*f = -f. Suppose 2*n - 4*q = 20, f*n - 3*q = -n + 15. Put n, 2/15, 3 in decreasing order.
3, 2/15, n
Let d = -13.22 + 0.22. Let s = d - -12.9. Put 0, -0.5, s, 0.5 in increasing order.
-0.5, s, 0, 0.5
Let s = 1 + 3. Let d = -19 + 18. Suppose k + 4 = -3*p + 24, 0 = 5*k - p - 20. Sort s, k, d.
d, s, k
Let z = -0.83 - -0.91. Sort 0.07, -3, 1/4, z in descending order.
1/4, z, 0.07, -3
Suppose 0*c - 3 = 3*c. Let d be (c/(-2))/((-6)/(-120)). Suppose d = -2*s - 0*s. Sort 1, 5, s in decreasing order.
5, 1, s
Let x(h) = h**3 - 11*h**2 + 11*h + 12. Let y be x(10). Let i be y/(-66) - 2/3. Put -3, i, 10, 2 in decreasing order.
10, 2, i, -3
Let l(j) = -3*j + 2. Let g = -102 - -48. Let u be 2/(-5) + g/90. Let n be l(u). Sort n, -5, -1 in descending order.
n, -1, -5
Let x = 200/189 - 26/27. Let p = 1941/8 - 243. Put x, 5, p in increasing order.
p, x, 5
Suppose -4*t - 2*n + 6 = 0, t + n - 1 = -0*t. Let z = 1380 - 1379. Sort z, 9, t in descending order.
9, t, z
Suppose c = 5*t + 20, 2*t = -c + 5 - 20. Suppose 20 = -3*l + 2*l + 5*d, 0 = l - 3*d + 10. Let z = -16 + 19. Put c, l, z in ascending order.
c, z, l
Let s be (-1)/(-4) + 2 + (-285)/100. Put s, 0.5, 9/10, 1 in increasing order.
s, 0.5, 9/10, 1
Let l = -1271 - -1271. Put -2, -2/9, 0.1, l in increasing order.
-2, -2/9, l, 0.1
Suppose 22*y - 19*y - 3 = 3*d, d = -4*y - 6. Let m = 2 + -2.7. Let h = 4.3 - m. Put y, h, 1 in descending order.
h, 1, y
Let z = 41 - 55. Suppose -42 - 34 = -5*w - q, 0 = 3*w - q - 52. Let g = z + w. Sort g, 5, -4 in decreasing order.
5, g, -4
Let t = -55/252 + -2/63. Sort t, 5, 1, -1/6 in decreasing order.
5, 1, -1/6, t
Let p(o) = -o**3 - 3*o**2 - 3*o - 6. Let a be p(-3). Let r = a + -7. Sort r, 5, 0, -5 in increasing order.
-5, r, 0, 5
Let n = 8 - 6. Suppose 8*w - 5*w - m - 19 = 0, 4*w + n*m = 12. Suppose -w = 7*r - 2*r, -v = -2*r - 6. Put v, 0, -3 in ascending order.
-3, 0, v
Let t = 7 + -2. Let j = -53 + 33. Let n be (2/3)/(j/30). Sort 3, t, n in ascending order.
n, 3, t
Let o = -26.3 - -31.3. Sort -1, -22, -2/5, o.
-22, -1, -2/5, o
Let s be (-1*(-8)/(-20))/(936/(-314)). Let z = 4/117 - s. Sort -2, 5, -3, z in descending order.
5, z, -2, -3
Let b = 200 + -1798/9. Put b, 1/5, -1/4, 0.3 in increasing order.
-1/4, 1/5, b, 0.3
Suppose 17*f = 4*f - 1404. Sort f, 2, -1 in ascending order.
f, -1, 2
Let q = 40/3 + -15. Let v = 47.9 + -49. Let k = v - -0.8. Put q, k, -3/7 in ascending order.
q, -3/7, k
Let d = 5 - 13. Let s be (-1)/(-2) + (-36)/d. Let a be (5 - s) + (-2 - 0). Sort -5, -1, a.
-5, a, -1
Let j = 64 - 64.14. Let l = j + -2.86. Let d = -1.1 - -0.1. Put d, l, 1/11 in increasing order.
l, d, 1/11
Suppose s = -5*c - 2 - 6, -s + 2 = 3*c. Sort -16, s, 0 in descending order.
s, 0, -16
Let g(o) = o + 2. Let x be g(1). Suppose 2*i + 12 - x = 3*w, 0 = 3*i - 9. Sort 10, 2, 3, w in increasing order.
2, 3, w, 10
Let k(t) = 1 - 6 - t - 4 + 2. Let w be k(-2). Sort 3, w, 1 in decreasing order.
3, 1, w
Suppose -146 = 11*q - 179. Put -4, -1, q, 1 in ascending order.
-4, -1, 1, q
Let j = -713 - -702. Put -0.4, 21, j in increasing order.
j, -0.4, 21
Let x(w) = -5*w**3 - 35*w**2 - 4*w - 30. Let n be x(-7). Let d = 95/21 - 27/7. Sort d, -4, -0.3, n in descending order.
d, -0.3, n, -4
Let c = -352 - -347. Put -3, c, 53 in ascending order.
c, -3, 53
Let m(f) = -f - 4. Let z be 2/8 + 68/(-16). Let w be m(z). Let u = -21 + 20. Sort -2, u, w in increasing order.
-2, u, w
Let j be (-6)/15 - 1788/30. Let g be j/(-8)*(-6)/(-9). Sort -5, 11, g in decreasing order.
11, g, -5
Let j be (-546)/(-210) - (-7)/5. Suppose -5*d - 5 = -20. Sort -5, d, j, 2 in decreasing order.
j, d, 2, -5
Let t(h) = 13*h**2 + 25*h + 2. Let a be t(-2). Sort -1, -2, -15, a in decreasing order.
a, -1, -2, -15
Let j(t) = 2*t + 16. Let a be j(-8). Sort -25, -5, a, 4.
-25, -5, a, 4
Let o = -216 - -213. Let d be ((-1)/1)/(-1 - 0). Sort -4, o, d in descending order.
d, o, -4
Let x = 188 - 172. Sort x, -1, 3, 2 in ascending order.
-1, 2, 3, x
Let p be 17/99 + (-45)/(-165). Put -0.7, p, 13/3 in descending order.
13/3, p, -0.7
Suppose 3*c = 5*v + 23, 0 = -5*c + c + 4. Let m = 2868 + -2851. Put m, -2, v in decreasing order.
m, -2, v
Let f be (0 + (-5)/4)*4. Let m = f - -10. Let p be (1 - 5)*(-63)/28 - 5. Sort m, p, 9 in descending order.
9, m, p
Let i be ((-24)/21)/((-114)/(-21)). Sort i, -1/8, -4, -3/4 in descending order.
-1/8, i, -3/4, -4
Let z be (-783)/(-435) + (1 - 22/(-10)). Let h be (4/6)/((-3)/9). Sort 2, 26, h, z.
h, 2, z, 26
Let l be -7 + 3 - (4 - 1). Let g be 2/l + (-3)/(-42)*-66. Sort g, 1, 3, -2.
g, -2, 1, 3
Let w(b) = -b**2 - 9*b - 7. Let v be w(-8). Suppose v + 9 = -2*x. Sort x, -4, 2 in decreasing order.
2, -4, x
Let g be 11/(-5) + (1 - 20/25). Let n = 2 + -10. Let c be 12/n*(-1 + -1). Put c, -3, g in descending order.
c, g, -3
Let y = -1.5 - -1.7. Let w = -8 + 8.13. Let f = -0.43 + w. Sort 3, f, y in descending order.
3, y, f
Let g be 112/(-48) - 4/6. Suppose 27 - 7 = 2*h. Sort 4, g, h in descending order.
h, 4, g
Suppose -5 = -5*l - 5*p, -2*l + 8*p - 7*p = 7. Let g = 1 + -4. Sort 2, l, g.
g, l, 2
Suppose q + 18 = 4*n, 6*q = 5*n + q - 15. Let w be 3 - 1/(-3 - -2). Sort w, 15, -3, n.
-3, w, n, 15
Let j = 2.2 - -0.8. Let w = 0.117 - 0.107. Let a = 4.8 + -5. Put a, w, j in descending order.
j, w, a
Let d be 27/(-15) + (48/40)/(-6). Sort -468, -4, d in descending order.
d, -4, -468
Let s be (-5 - -1)/(4 - 22). Sort 1/3, -20, s in decreasing order.
1/3, s, -20
Let w(p) = 4*p**2 - 8*p + 3. Let h(d) = 7*d**2 - 15*d + 7. Let q(s) = 3*h(s) - 5*w(s). Let n be q(4). Put -3, n, -1, 9 in increasing order.
-3, -1, n, 9
Let k = -21.85 + 22. Let h = 11.85 + k. Let j = 15 - h. Sort 2/21, j, 2.
2/21, 2, j
Suppose 5*b - 8 + 3 = 0. Let x(l) = 2*l + 4. Let j be x(-4). Let k be (j/16)/(2/(-16)). Sort -3, b, k in increasing order.
-3, b, k
Let l = 26.81 + -27.11. Sort l, 5, -2/17.
l, -2/17, 5
Suppose -k - 13*o = -12*o - 27, 4*k + 5*o - 109 = 0. Put -1, k, 0 in ascending order.
-1, 0, k
Let v(k) = -18*k + 62. Let z be v(5). Sort 2, 5, z in decreasing order.
5, 2, z
Let v = 37.4 - 37. Put -0.1, -0.2, v, 0.5 in descending order.
0.5, v, -0.1, -0.2
Let w = -15 + 25. Let l be ((-9)/6)/(5/w). Sort 3, 9, 2, l in descending order.
9, 3, 2, l
Let s = -126 + 146. Sort -1, s, -4, 1 in descending order.
s, 1, -1, -4
Let l = -8 - -11. Let u(i) = i**2 - 2*i - 1. Let z be u(l). Sort z, 6, -2 in decreasing order.
6, z, -2
Let x be (-9)/2 - 12/24. Let t = 9 - 4. Suppose -5*j + t = -0. Put j, 2/7, x in decrea
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{
"pile_set_name": "DM Mathematics"
}
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3, 0
Let n = 80 - 76. Determine g, given that 27/5*g**3 - 21/5*g**2 - 3*g**n + 6/5*g + 0 + 3/5*g**5 = 0.
0, 1, 2
Let n = 71223/12035 + -213/83. Let t = -16/29 + n. Find r such that 0 + 4/5*r**2 - 18/5*r**3 + t*r**4 + 0*r = 0.
0, 2/7, 1
Factor -5*h**4 - h + 16*h**3 - 2*h + 8*h + 5*h**2 - 21*h**3.
-5*h*(h - 1)*(h + 1)**2
Let d be (-91)/(-52)*(-3)/(-7). Solve -d*i**3 + 3/2*i**2 + 0 - 3/4*i = 0.
0, 1
Determine g so that 0 + 16/7*g - 4/7*g**2 = 0.
0, 4
Suppose 2*i = -h + 8, 0*i = 3*h + 5*i - 23. Factor 0*g + 4*g**3 + 3*g - h*g - g**3.
3*g*(g - 1)*(g + 1)
Let n(c) be the first derivative of -7 + 1/2*c**4 + 0*c + 2/3*c**3 + 0*c**2. Factor n(i).
2*i**2*(i + 1)
Suppose -4 = -2*v - 0*v. Find n such that 2*n**4 - n**v - 7*n - n - 5*n**2 + 8 + 4*n**3 = 0.
-2, 1
Let p(i) be the third derivative of -i**7/70 - i**6/10 - i**5/4 - i**4/4 - i**2. Factor p(f).
-3*f*(f + 1)**2*(f + 2)
Let k(b) = -b**2 + 12*b + 4. Let a be k(12). Suppose a*o - 1 = -3*w + 2*o, 2*w = 5*o + 26. Factor 3*n**4 - n**4 + 4*n**3 + n**5 - 3*n**w.
n**3*(n + 1)**2
Let y be ((-20)/(-16))/((-20)/(-8)). Factor 1/4*v - y + 1/4*v**2.
(v - 1)*(v + 2)/4
Let f(b) be the third derivative of -1/30*b**6 + 1/12*b**4 - 1/5*b**5 + 0*b + b**3 - 7*b**2 + 1/168*b**8 + 1/35*b**7 + 0. Solve f(a) = 0.
-3, -1, 1
Let q be (-3 - (-4 + 2))/(-1). Let z be (-3)/(-6)*(1 + q). Suppose z - 3*s + s**2 + 0*s + s = 0. What is s?
1
Let h(w) = -w**3 + 21*w**2 - 19*w - 17. Let o be h(20). Suppose 2*z + 4*z**2 + 7/2*z**4 - 19/2*z**o + 0 = 0. Calculate z.
-2/7, 0, 1, 2
Let h be 2*-1 + 84/21. Factor 0*x + 1/3*x**5 + 0*x**h + 0 + 1/3*x**4 + 0*x**3.
x**4*(x + 1)/3
Let -15*m**2 - 12*m**3 + m - 12*m**2 - 7*m = 0. Calculate m.
-2, -1/4, 0
Let v(i) = 12*i**2 - 11*i - 1. Let h(w) = 13*w**2 - 11*w - 2. Let f(q) = 3*h(q) - 4*v(q). Factor f(d).
-(d - 1)*(9*d - 2)
Let n be (3/(-5))/(12/(-40)). Let o(y) be the first derivative of 0*y**3 - n - 1/2*y**4 + y**2 + y - 1/5*y**5. Factor o(s).
-(s - 1)*(s + 1)**3
Let 2/3*v**2 - 10/3*v + 8/3 = 0. What is v?
1, 4
Let v(w) be the third derivative of w**6/120 - w**5/15 + w**4/12 + 2*w**3/3 + 11*w**2. Let x be v(3). Solve 1/2*z + 1/2*z**2 - x = 0 for z.
-2, 1
Let l(t) be the second derivative of -t**5/20 + t**4/4 + 3*t**2/2 + 12*t. Let p be l(3). Find q, given that 8/5*q + 0 + 6/5*q**4 - 16/5*q**2 + 2/5*q**p = 0.
-2, 0, 2/3, 1
Suppose -4*r - 9 = -3*r. Let k be (-51)/r - (-4)/(-6). Let -11*g**3 - 7*g**2 - k*g**3 - g - g**2 = 0. Calculate g.
-1/4, 0
Factor 64 + 144*b + 39*b**2 - 10*b**3 - 36*b**3 - 3*b**4 - 198*b**2.
-(b - 1)*(b + 8)**2*(3*b + 1)
Let m(r) be the third derivative of 2*r**7/525 + r**6/200 - r**5/60 - r**4/40 + r**3/30 - 61*r**2. Factor m(y).
(y - 1)*(y + 1)**2*(4*y - 1)/5
Solve 3/2*h + 0 - 9/4*h**2 - 3/4*h**5 - 3/4*h**3 + 9/4*h**4 = 0 for h.
-1, 0, 1, 2
Factor -5/2*q**3 - 25/2*q - 5 - 10*q**2.
-5*(q + 1)**2*(q + 2)/2
Suppose 3*z**4 - 8*z**4 + 21*z - 6*z**2 + 12*z**4 + 7*z + 8 - 19*z**3 = 0. Calculate z.
-1, -2/7, 2
What is x in 6 + 27*x - 47*x + 25*x - x**2 = 0?
-1, 6
Let p(j) = 3*j**3 + 4*j**2 + 4*j + 4. Let m(n) = -4*n**3 - 5*n**2 - 5*n - 5. Let y(u) = 4*m(u) + 5*p(u). Factor y(w).
-w**3
Suppose 2 = -4*u - 22. Let h(n) = n**2 + 4*n - 7. Let g be h(u). Solve 4*c**g - 3*c**3 - 3*c**2 + 0*c**2 - c**5 + 3*c**4 = 0 for c.
-1, 0, 1
Let m(v) = -2*v - 5. Let i be m(-4). Suppose -4*g**2 - 3*g**i + 3*g**2 + 4*g**2 + 6*g**3 = 0. Calculate g.
-1, 0
Let c(n) be the third derivative of -n**7/1155 - n**6/660 + n**5/330 + n**4/132 + 3*n**2. Factor c(s).
-2*s*(s - 1)*(s + 1)**2/11
Let y(k) be the second derivative of -k - 1/8*k**3 - 3/8*k**2 - 1/40*k**6 + 3/40*k**5 + 0 + 1/8*k**4 - 1/56*k**7. Factor y(h).
-3*(h - 1)**2*(h + 1)**3/4
Let s = 344 - 1016/3. Let c(r) be the first derivative of -s*r**3 + 4*r - 5/2*r**4 - r**2 + 1. Factor c(t).
-2*(t + 1)**2*(5*t - 2)
Let r(h) = -h**2 + 5*h - 3. Let l be r(7). Let z = l + 35/2. Factor 0 + z*o**2 + 0*o - 1/2*o**3 - 1/2*o**4 + 1/2*o**5.
o**2*(o - 1)**2*(o + 1)/2
Let n(i) = -2*i - 8. Let b be n(-6). Let s(f) be the first derivative of 1/6*f**2 + 0*f + 0*f**3 + 2 - 1/12*f**b. Determine r so that s(r) = 0.
-1, 0, 1
Suppose m**4 + 4*m**3 + 0*m**3 + 0*m**3 + 3*m**2 = 0. What is m?
-3, -1, 0
Let h(x) = -x**3 - 5*x**2 - 8*x - 3. Let n be h(-3). Solve 2/7*d**n - 2/7*d + 0 - 2/7*d**2 + 2/7*d**4 = 0 for d.
-1, 0, 1
Let o = 1/94 - -87/658. Factor 1/7*q**2 + o + 2/7*q.
(q + 1)**2/7
Let r(t) be the second derivative of -t**5/35 - t**4/7 - 2*t**3/7 - 2*t**2/7 + 10*t. What is f in r(f) = 0?
-1
Factor -3*v**2 + 7*v + v + 15*v**2.
4*v*(3*v + 2)
Let s = 289/3 + -865/9. Let k(o) = -3*o. Let w be k(-1). Factor -2/9*i**2 + 2/9*i**w + s - 2/9*i.
2*(i - 1)**2*(i + 1)/9
Let i be 28/72 + -4*(-5)/180. Suppose 1/4 + i*x**2 - 1/2*x**3 - 3/4*x**4 - 1/4*x**5 + 3/4*x = 0. Calculate x.
-1, 1
Let z(p) be the second derivative of -p**5/100 - p**4/60 + p**3/15 - p. Factor z(w).
-w*(w - 1)*(w + 2)/5
Let w = -183 - -554/3. Factor 2/3 - a - w*a**2.
-(a + 1)*(5*a - 2)/3
Factor -8/3*v - 2/3*v**2 + 10/3.
-2*(v - 1)*(v + 5)/3
Suppose 3*b + 0*b - 12 = 0. Suppose 0 = h + 4, -g + b*h + 22 - 4 = 0. Factor -6*d**3 - 6*d**5 + 3*d**4 - d**4 + 7*d - 2*d**g - 3*d + 8*d**5.
2*d*(d - 1)**2*(d + 1)*(d + 2)
Let l = -101 + 101. Determine v so that l*v + 0*v**4 + 2/3*v**5 - 2/3*v**3 + 0 + 0*v**2 = 0.
-1, 0, 1
Suppose 3*k - 6 + 3 = 0. Let g be (-57)/(-18) - k/6. Factor 0 - 2/5*i**4 - 4/5*i**g - 2/5*i**2 + 0*i.
-2*i**2*(i + 1)**2/5
Find r, given that 5/4*r + 5/4*r**5 + 5/2*r**2 - 5/2*r**3 - 5/4*r**4 - 5/4 = 0.
-1, 1
Let m(w) be the second derivative of w**4/42 + w**3/21 + w. Determine t, given that m(t) = 0.
-1, 0
Let v(p) be the first derivative of p**4/42 + p**3/21 - 2*p - 3. Let q(b) be the first derivative of v(b). What is s in q(s) = 0?
-1, 0
Let j(q) be the second derivative of -q**5/30 + 23*q**4/84 - 2*q**3/7 - 2*q**2 - 7*q. Let o(b) be the first derivative of j(b). Suppose o(y) = 0. What is y?
2/7, 3
Let l(m) be the third derivative of -7*m**6/60 + 2*m**5/5 + m**4/3 + m**2. Factor l(b).
-2*b*(b - 2)*(7*b + 2)
Let u(g) = 3*g**2 - 4*g - 2. Let v(x) = 13*x**2 - 15*x - 8. Let m(z) = -9*u(z) + 2*v(z). Let i be m(6). Determine q so that -2*q**2 + i*q + 1 + 6 - 3 = 0.
-1, 2
Let c(a) = a**2 - a. Let b(h) = -4*h**2 + 5*h. Let r(j) = 6*b(j) + 22*c(j). Suppose r(z) = 0. What is z?
0, 4
Let t(s) = -s**3 + 28*s**2 - 52*s + 2. Let u be t(26). Let 57/8*h**u + 21*h**4 - 171/8*h**3 - 6*h**5 + 0 - 3/4*h = 0. Calculate h.
0, 1/4, 1, 2
Let p(k) be the first derivative of k**6/3 + 18*k**5/35 - 5*k**4/14 - 6*k**3/7 - 2*k**2/7 + 4. Let p(l) = 0. What is l?
-1, -2/7, 0, 1
Let x(d) be the second derivative of 0*d**2 + 0*d**4 + 0 + 1/720*d**6 - d + 1/240*d**5 + 1/6*d**3. Let z(a) be the second derivative of x(a). Factor z(t).
t*(t + 1)/2
Let j(u) = -u**3 + 5*u**2 - 3*u - 1. Let p be j(4). Factor 3*w**p - 8*w + 5*w - 6 - 2*w**2 + 8*w**2.
3*(w - 1)*(w + 1)*(w + 2)
Suppose -24 = 4*h - 8*h. Let d be 8/3*(-24)/(-16). Find w, given that 2*w**2 - h*w + d - 2 + 2*w = 0.
1
Let v(k) be the second derivative of -1/6*k**4 + 3/20*k**5 + 0*k**2 + 0*k**6 - 1/42*k**7 + 0*k**3 + 0 + 9*k. Suppose v(s) = 0. Calculate s.
-2, 0, 1
Suppose 0 = -3*a + 3, i + 2*a = -2*a + 8. Let g(o) be the second derivative of 0*o**2 + 1/20*o**i + 1/50*o**5 + 1/30*o**3 + 0 + o. Factor g(y).
y*(y + 1)*(2*y + 1)/5
Let z(f) be the first derivative of 2*f**3/3 + f**2 - 9. Factor z(v).
2*v*(v + 1)
Let u = 5363/5 - 1069. Determine w, given that -12/5*w - 2/5*w**2 - u = 0.
-3
Let i(u) be the first derivative of -u**5/20 - u**4/8 - u**3/12 - 8. Solve i(t) = 0 for t.
-1, 0
Let b be 18/6 - 4/2. Let o be (-2)/b + 60/25. What is f in -o*f**4 + 4/5*f**3 - 4/5*f + 2/5 + 0*f**2 = 0?
-1, 1
Let g(b) be the first derivative of -3 + 0*b**2 + 0*b + 1/18*b**3 + 1/12*b**4 + 1/30*b**5. Let g(f) = 0. What is f?
-1, 0
Suppose -2*d - 2 = -d. Let z = d + 6. Factor 4*v**4 - 3*v**z + v**4.
2*v**4
Let n(b) = -15*b**4 + 15*b**3 - 3*b**2 - 24*b + 9. Let u(w) = -7*w**4 + 8*w**3 - 2*w**2 - 12*w + 5. Let i(l) = -4*n(l) + 9*u(l). Factor i(d).
-3*(d - 3)*(d - 1)**2*(d + 1)
Let q(l) = l**5 - 2*l**4 + 3*l**3 - 2*l**2 - 2. Let p(i) = -5*i**5 + 10*i**4 - 16*i**3 + 11*i**2 + 11. Let r(y) = 4*p(y) + 22*q(y). Factor r(n).
2*n**3*(n - 1)**2
Let x = 11 - 8. Suppose 21 = 2*n + x*j, -2*n - 4 = -4*j + 10. Let -2/9*o**4 +
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{
"pile_set_name": "DM Mathematics"
}
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a?
a
Suppose 0 = 2*m + 3*m - 65. Let j = -6608 + 6612. Which is bigger: j or m?
m
Let b = -7 - -14. Suppose 5*z - b*z = -8. Let k be (-15)/9 + z/2. Is k greater than 2/7?
True
Let x = 71.5 + -71.5. Let j = -7 + 8. Which is smaller: j or x?
x
Let x be ((-27)/(-150))/(2/4). Let r = 288 + -21598/75. Let z = x - r. Which is greater: z or -1?
z
Let j = -6 - -11. Suppose -12 = -3*s - 4*n + n, -j*s = -2*n - 41. Suppose -4*g + 3*a = -17, 4*a = 27 - 7. Is g >= s?
True
Let h(z) = z**3 + 8*z**2 + 6*z + 5. Let b(o) = -o**2 + 3*o - 3. Let j be b(4). Let r be h(j). Let u be (-2)/35*15/r. Which is smaller: u or 0?
u
Let f(n) = n**2 - 4*n - 13. Let x be f(-9). Let y = -152 + x. Which is greater: -47 or y?
-47
Let g = 231 - 343. Which is smaller: 2 or g?
g
Let j be (-4 - -6)*(1 - 0). Suppose 0 = j*d + 54 - 60. Does 1.2 = d?
False
Suppose 0 = -10*b + 1060 + 360. Do 142 and b have different values?
False
Let p = -2/237 + -1151/4029. Is -12 <= p?
True
Suppose 4*t - 199 = -63. Let h = t - 40. Is -6 bigger than h?
False
Let b be (-1)/2 - (-3)/(-6). Let l = 1/141 + -428/705. Which is bigger: b or l?
l
Let l be (-5)/1*(-2)/(-5). Let r be ((-7077)/(-674))/(6*-2*1). Is l >= r?
False
Suppose -5*z + 4*g + 2 = -20, -3*z + 3 = g. Let h be 4 + -5 + (-14)/z. Suppose 3*n = 2*m + 16, 5*n = 3*m - 4*m - 8. Is h at most m?
True
Let y = -7.21 + 8.21. Suppose -4*w + 5*k = 36, -5*w + k = -2*w + 16. Which is smaller: w or y?
w
Let l = -575/68 + 148/17. Are 169 and l equal?
False
Let l be (-220)/(-132) + (4*-1)/2. Is l > -24?
True
Let j = 12 + -14. Let m = 33.7 + -33. Is j != m?
True
Let n = 0 - 6. Let b = 15 + n. Let f(q) = -q**2 + 10*q - 7. Let v be f(b). Which is smaller: 1 or v?
1
Let o = -59/144 - -3/16. Suppose -w - 60 = -4*f + 23, 4*f - 87 = -3*w. Let j = f + -20. Is j at least as big as o?
True
Suppose -2*m + 118 = -w - 13, 0 = -5*w + m - 628. Which is greater: -127 or w?
w
Let m be 1*1*(-2 + 1 + 1). Let p be 132/26 + -4 - 2/1. Which is greater: m or p?
m
Let n(h) be the second derivative of -h**4/12 + h**3/2 + h**2/2 - h. Let f be n(2). Let r be 1/(1/(f + -1)). Which is greater: 4 or r?
4
Let i = 1925 + -1914.08. Is i smaller than 0?
False
Suppose 37*g - 34*g = 2*k + 388, 2*g - 4 = 0. Is k greater than or equal to 0?
False
Let j = 4822/13 - 371. Let t be 2/3*(-6)/4. Let n be (0 + 0 + t)*-1. Which is bigger: j or n?
n
Let z be (-6 + 1 - -8) + 3*23. Which is smaller: z or 71?
71
Let m = -1741 - -1741.2. Is m greater than or equal to 1/474?
True
Suppose 3*n + 19 = 4*q - 44, -4*n - 84 = -3*q. Are n and -14 non-equal?
True
Let p = -2197/27680 - -9/160. Is p greater than 0?
False
Let j = 88 - 125.8. Let a = -38 - j. Is a at most 3/8?
True
Let a be -13 - (-3 - -5)/(8/6). Suppose -24 = -b + 2*k, 7 - 87 = -4*b + 4*k. Let f = b + a. Which is greater: f or -0.1?
f
Let p = -127 - -135. Suppose 2*z + 2 - p = 0. Is 5 at least as big as z?
True
Suppose 2*m = -3 + 1. Suppose 0 = 5*s - 4*p + 66, p + 6 = -s - 0. Let t be 3/8*s/6. Is t at least m?
True
Let b = -0.3 - -0.4. Let v = 4.8 + -5. Are b and v equal?
False
Let h be (1 + (-9)/1)/(-1). Suppose h = 5*y - 3*y. Suppose -2*f = -y*x - 8, 5*f + 0*f = -x - 13. Is x less than -4?
False
Let s = -109 - -81. Let h = s - -28. Which is greater: 2/105 or h?
2/105
Let n(d) = -2*d**2 + d + 1. Let v = 74 + -69. Let g be n(v). Which is smaller: g or -42?
g
Let r(a) = -a + 15. Let x be r(11). Suppose 0 = -x*q + 18 - 6. Suppose -2*t + 20 = 3*t. Which is smaller: q or t?
q
Suppose 48*x + 4 = 50*x. Suppose 0 = -11*f + x - 24. Is f at most as big as -4/7?
True
Let k = 12 - 3. Let w(j) = j**3 + 6*j**2 - j - 4. Let c be w(-6). Let s = c - -8. Is k at least as big as s?
False
Let w(t) = t - 8. Let k be w(7). Let a = -1262.025 + 1262. Is a at least k?
True
Suppose 0*j + 4*j - 4 = 0. Let r = -141 - -41. Let a = r + 95. Which is greater: j or a?
j
Let m(x) = 15*x + 268. Let g be m(-15). Is g equal to 41?
False
Let g = -223 - -222. Which is smaller: -9/4 or g?
-9/4
Suppose -n - 6 = 2*s - 33, -n + 9 = -4*s. Let h be n/35 + 54/10. Which is greater: h or 9?
9
Let c(y) = y**3 - y. Let k be c(1). Suppose 5*a = p - 12, 0 = -7*p + 2*p - 3*a - 24. Let r be 2/10*p - -1. Which is bigger: k or r?
r
Let h(t) = 11*t + 42. Let f be h(10). Let k = 152 - f. Is 13 > k?
True
Let j(o) = -o**2 - 14*o - 72. Let b be j(-15). Is -87 bigger than b?
False
Suppose -87*k - 4 = -91. Is k at least as big as 57/35?
False
Suppose 3*n - 16 = 14. Let t = -274 - -286. Let d = t - n. Which is smaller: d or 6/11?
6/11
Let o = -1878 - -1021. Is -857 bigger than o?
False
Let d be 2*(-4 + 35/10). Let a(k) = 3*k**3 + 3*k**2 + 2*k. Let h be a(d). Is h less than or equal to 13?
True
Suppose 0 = b - 0*b. Let n = -941/130 + 36/5. Is n less than b?
True
Let l(k) = k**3 - 4*k**2 + 9*k - 37. Let j be l(4). Let n be (-9)/(-12)*2/42. Is n < j?
False
Suppose -13 = -5*b + 42. Let o = -12.46 - -12.26. Is o at most as big as b?
True
Let n(b) = b**2 - 9*b - 266. Let i be n(0). Is i != -267?
True
Let q = 0.552 - -0.048. Let z = 1.6 - q. Which is smaller: z or -5/6?
-5/6
Let a(r) = 5*r**2 + 37*r - 2. Let s be a(-6). Is s at least -47?
True
Let q = -1554 + 1327. Which is greater: q or -226?
-226
Let f(k) = -k + 6. Let y be f(5). Suppose -4*d - 2*h = 2*h + 24, 0 = 2*d + h + 7. Let r be (-7 - -3)/(d + (-22 - -1)). Are y and r equal?
False
Let k = -8631/8 + 1078. Let t be (-2)/4 + (-2)/4. Which is greater: t or k?
k
Suppose 0 = -2*w + d - 112, -4*w + 33*d - 32*d = 230. Suppose -75 = 5*q + 220. Is q < w?
False
Let b be (-25)/(-15)*(-9)/(-10). Suppose 0 = -v + 6*v + 10. Let p be 1/(-2)*(0 + v). Which is greater: b or p?
b
Suppose -4*t + 4 = 2*f, 5*f - 2*t - 22 = -0*t. Suppose -f*n + 6 + 6 = 0. Which is smaller: 6 or n?
n
Suppose 5*f - 20 + 334 = 3*i, -3*i + 4*f + 313 = 0. Is 105 bigger than i?
True
Suppose -4 = -2*w - 0. Let g be 4/132*(w + (-14)/4). Is 1/2 > g?
True
Let o = 1.5 + -1.7. Let l(k) = k**3 + 6*k**2 + 6*k + 4. Let r be l(-4). Suppose 0 = 3*g - h - r, -2*h - 2 = 4. Is o less than g?
True
Suppose -110*f = -122*f - 756. Does f = -58?
False
Let w = -9/8 - -7/8. Let o = 24.08 + -20.08. Is o less than w?
False
Let c(o) = 14*o**2 - 1 + 3*o + 16*o**2 - 29*o**2. Let r be c(-4). Is 13/6 != r?
True
Suppose 4*v - 14 = 6. Suppose 0 = 3*f + f - v*p + 36, 0 = 5*f + 5*p. Is -1 equal to f?
False
Let t(n) = -4*n - 2*n**3 - 31*n**2 - 3*n + 1 + 23*n. Let s be t(-16). Let d be 0/(2/(-2) + -1). Do d and s have different values?
True
Let m = 43 - -36. Is 81 bigger than m?
True
Let w = -12 + 16. Suppose -w*k + 5 - 1 = 0. Let g = k - 16. Is -15 at least as big as g?
True
Suppose 0 = -4*w + 25 - 21. Suppose -4*y - w = 11. Which is smaller: 1 or y?
y
Let z = -20 + 20. Let i = 1151/28 + -161/4. Which is smaller: i or z?
z
Let n = -0.041 - 0.059. Let m be (2/(-6))/(1/(-6)). Let c be (2 + -4)/(-1) - m. Is n bigger than c?
False
Let m(t) = -21*t**3 + 5*t**2 - 3*t**2 + 3*t - 3*t**2 - 1 - 4*t. Let p be m(-1). Suppose -p = 6*x - x. Which is greater: -1 or x?
-1
Let h be ((-3)/(-7))/((-42)/56). Suppose -3*x = -2 + 5. Is h smaller than x?
False
Let q = -0.01 - 0.03. Let p = -2.96 + q. Let h = 2.4 + p. Is h >= 1/2?
False
Suppose 0 = -5*z + 15 + 10. Suppose y = z*k - 20, 0 = -0*y - 2*y + 10. Suppose 5*n - 3*n + k*r - 11 = 0, -4*n = -2*r + 38. Which is smaller: n or -8?
-8
Let w = -396 - -458. Is w not equal to 2/3?
True
Let h = 7 + -6.3. Let d = 0.6 - h. Let q = d + 0.1. Which is bigger: 2 or q?
2
Let r be 42*13/91 - 88/14. Which is greater: r or -1/1732?
-1/1732
Let r(o) = -o - 6. Let g be r(-8). Let p be g/(12/15)*8/(-650). Which is smaller: p or -1?
-1
Let g(s) = -s**3 + 13*s**2 + 17*s - 11. Let p be g(14). Suppose 7 = 6*x + p. Which is smaller: 0 or x?
x
Suppose 7 = p + 2*g, -20*p - 3*g = -17*p - 9. Which is smaller: p or 123/19?
p
Let u(l) = l**3 + 9*l**2 + 8*l - 4. Let p be u(-8). Let d = 20.65 - 20. Let b = d - -0.35. Which is bigger: p or b?
b
Let k be (18/120)/((-24)/(-10)). Suppose 2*v = 8 + 4. Suppose 4*a + 0*s = s + v, 3 = 5*a + s. Do a and k have the same value?
False
Let h = -0.4331 + 0.0331. Which is smaller: -26/3 or h?
-26/3
Let s = -4.5 - -4.5. Are 0.473 and s unequal?
True
Let c(p) = -p**2 - 6*p + 2. Let r be c(-6). Let a = 1 + -1. Suppose a = r*g + 2. Is g <= -1?
True
Let t(m) = -m**2 - 82*m + 623. Let i be t(7). Is -11/14 bigg
|
{
"pile_set_name": "DM Mathematics"
}
|
ulate the highest common divisor of 3470 and 50.
10
What is the highest common factor of 378 and 3843?
63
What is the greatest common divisor of 213 and 15?
3
What is the greatest common divisor of 304 and 95?
19
Calculate the greatest common factor of 1450 and 58.
58
Calculate the greatest common factor of 72 and 984.
24
What is the highest common factor of 296 and 11988?
148
What is the highest common factor of 9 and 558?
9
What is the greatest common divisor of 240 and 6?
6
What is the greatest common divisor of 153 and 72?
9
What is the highest common divisor of 4136 and 176?
88
Calculate the greatest common factor of 256 and 20.
4
Calculate the greatest common factor of 66 and 6.
6
What is the greatest common factor of 175 and 56?
7
What is the highest common divisor of 80 and 288?
16
What is the highest common divisor of 310 and 70?
10
What is the highest common factor of 252 and 90?
18
What is the highest common factor of 100 and 60?
20
What is the greatest common factor of 4665 and 45?
15
Calculate the greatest common divisor of 93 and 341.
31
Calculate the greatest common factor of 48 and 129.
3
Calculate the highest common factor of 312 and 384.
24
What is the greatest common divisor of 12 and 204?
12
What is the greatest common factor of 40 and 2120?
40
What is the greatest common factor of 205 and 126895?
205
What is the greatest common factor of 776 and 873?
97
Calculate the highest common factor of 700 and 40.
20
What is the greatest common divisor of 7 and 39606?
7
Calculate the greatest common divisor of 493 and 17.
17
Calculate the greatest common factor of 5 and 65.
5
Calculate the highest common divisor of 17 and 1088.
17
Calculate the greatest common factor of 10 and 30.
10
Calculate the greatest common factor of 2128 and 19.
19
Calculate the highest common factor of 196 and 14.
14
Calculate the highest common factor of 1400 and 1260.
140
What is the greatest common factor of 45 and 420?
15
What is the highest common divisor of 24 and 1884?
12
What is the greatest common factor of 41 and 7339?
41
Calculate the highest common divisor of 78 and 208.
26
Calculate the highest common factor of 149 and 1043.
149
What is the highest common divisor of 150 and 5350?
50
What is the highest common factor of 174 and 290?
58
Calculate the highest common factor of 279 and 45.
9
What is the highest common divisor of 5 and 80?
5
Calculate the greatest common divisor of 280 and 4550.
70
Calculate the highest common factor of 80 and 48.
16
What is the highest common factor of 108 and 192?
12
Calculate the greatest common factor of 33700 and 400.
100
Calculate the greatest common factor of 1909 and 1328.
83
Calculate the highest common factor of 3 and 177.
3
Calculate the greatest common divisor of 1 and 457.
1
Calculate the greatest common factor of 148 and 6068.
148
What is the highest common factor of 120 and 92520?
120
What is the highest common divisor of 1179 and 99?
9
What is the greatest common factor of 60 and 1220?
20
Calculate the highest common factor of 64 and 8.
8
What is the highest common factor of 243 and 14499?
81
What is the highest common divisor of 350 and 20?
10
Calculate the highest common divisor of 357 and 17.
17
Calculate the greatest common divisor of 9889 and 217.
31
Calculate the highest common divisor of 4393 and 46.
23
Calculate the greatest common factor of 5656 and 112.
56
What is the highest common factor of 4560 and 960?
240
What is the greatest common factor of 12570 and 180?
30
Calculate the greatest common factor of 231 and 4179.
21
What is the greatest common factor of 28 and 658?
14
What is the greatest common divisor of 23 and 3?
1
Calculate the greatest common factor of 32 and 84.
4
What is the highest common divisor of 22506 and 558?
186
Calculate the greatest common factor of 102963 and 21.
21
Calculate the highest common factor of 481 and 37.
37
Calculate the greatest common divisor of 3102 and 396.
66
Calculate the highest common factor of 40437 and 9.
9
Calculate the highest common factor of 126 and 336.
42
What is the greatest common factor of 99 and 19041?
33
Calculate the highest common factor of 2860 and 1980.
220
Calculate the highest common divisor of 273 and 21.
21
What is the greatest common divisor of 52 and 1066?
26
Calculate the greatest common divisor of 52 and 156.
52
Calculate the highest common factor of 3172 and 183.
61
Calculate the greatest common divisor of 26441 and 274.
137
What is the greatest common divisor of 26 and 2?
2
Calculate the highest common factor of 15521 and 83.
83
Calculate the highest common factor of 1643 and 159.
53
Calculate the highest common factor of 9 and 167.
1
What is the highest common divisor of 21 and 2919?
21
What is the highest common factor of 110 and 66?
22
Calculate the greatest common factor of 70 and 5278.
14
Calculate the highest common divisor of 2568 and 48.
24
What is the highest common divisor of 1864 and 16?
8
Calculate the highest common divisor of 4570 and 10.
10
Calculate the highest common divisor of 801 and 445.
89
What is the greatest common divisor of 99 and 363?
33
What is the highest common divisor of 4 and 1264?
4
What is the highest common factor of 2815 and 25?
5
Calculate the greatest common divisor of 512 and 416.
32
What is the greatest common divisor of 5130 and 36?
18
What is the highest common factor of 288 and 2232?
72
Calculate the greatest common factor of 21 and 3633.
21
What is the highest common divisor of 512 and 32?
32
What is the greatest common divisor of 48 and 96?
48
Calculate the greatest common divisor of 90 and 1200.
30
Calculate the highest common factor of 104 and 2210.
26
What is the greatest common divisor of 124 and 12?
4
Calculate the greatest common divisor of 16 and 72.
8
What is the highest common divisor of 56 and 3962?
14
What is the highest common factor of 1 and 227?
1
What is the greatest common factor of 840 and 651?
21
Calculate the highest common divisor of 25 and 5.
5
What is the highest common factor of 70 and 1022?
14
What is the greatest common divisor of 654 and 48?
6
What is the highest common divisor of 895 and 15?
5
What is the greatest common factor of 22 and 11847?
11
What is the greatest common divisor of 90 and 120?
30
What is the highest common factor of 2652 and 117?
39
What is the highest common divisor of 7496 and 4?
4
What is the greatest common divisor of 10 and 830?
10
What is the greatest common divisor of 114 and 150?
6
Calculate the highest common factor of 28 and 567.
7
What is the greatest common divisor of 2105 and 10?
5
What is the highest common factor of 4482 and 249?
249
What is the greatest common divisor of 25 and 575?
25
Calculate the greatest common factor of 3552 and 111.
111
Calculate the highest common divisor of 2144 and 4.
4
Calculate the greatest common divisor of 215 and 5.
5
Calculate the greatest common factor of 93 and 279.
93
Calculate the greatest common factor of 12733 and 428.
107
What is the greatest common factor of 430 and 20?
10
What is the greatest common factor of 77 and 11?
11
What is the highest common factor of 896 and 616?
56
Calculate the greatest common divisor of 41 and 4141.
41
What is the greatest common divisor of 156 and 72?
12
What is the highest common factor of 29595 and 45?
15
What is the highest common factor of 24 and 2844?
12
Calculate the greatest common factor of 10 and 8410.
10
What is the highest common divisor of 138 and 230?
46
Calculate the highest common divisor of 532 and 28.
28
Calculate the highest common divisor of 141 and 3.
3
What is the greatest common divisor of 228 and 3648?
228
Calculate the greatest common divisor of 308 and 9812.
44
What is the greatest common divisor of 2134 and 308?
22
What is the greatest common divisor of 99 and 1584?
99
Calculate the highest common divisor of 85 and 5.
5
Calculate the greatest common factor of 15435 and 15.
15
What is the greatest common divisor of 46210 and 10?
10
What is the greatest common divisor of 66 and 528?
66
Calculate the greatest common divisor of 27 and 1.
1
What is the greatest common divisor of 764 and 573?
191
Calculate the highest common factor of 1316 and 28.
28
Calculate the greatest common factor of 1474 and 1206.
134
What is the highe
|
{
"pile_set_name": "DM Mathematics"
}
|
= d - p. List the prime factors of d.
13
Suppose -4*n + 76 = 5*w - 208, 3*w + 240 = 3*n. What are the prime factors of n?
2, 19
Let b = 15 + 4. List the prime factors of b.
19
Let c = 9 - 4. Suppose -c*s = -3*s - 4. Suppose 0*l + 14 = s*l. List the prime factors of l.
7
Suppose 5*k - y - 1154 = 0, 3*k + 2*y = 286 + 409. What are the prime factors of k?
3, 7, 11
Suppose 3*f + 2*f = 75. Suppose -p + 18 = -2*o - 4*p, 20 = -2*o - 4*p. Let t = f + o. What are the prime factors of t?
3
What are the prime factors of (-2148)/(-28) + 2/7?
7, 11
Suppose 5*z - 33 = 62. Let d = 31 - z. List the prime factors of d.
2, 3
Let k be (2/4)/(2/4). Let l(i) = i - 16. Let c be l(14). List the prime factors of (k/c)/((-2)/12).
3
Suppose -4*y - 3*h = -258, 4*y = -4*h + 6 + 250. What are the prime factors of y?
2, 3, 11
Let m = 11 - 9. List the prime factors of 0 + (-5 + m - -11).
2
Let a = 30 + 2. Suppose a = y + 3*p, -5*y - 2*p = -6*p - 103. List the prime factors of y.
23
Suppose 5*n - 14 = 171. What are the prime factors of n?
37
Let k = -6 - -11. Suppose -2*o - 3 + 11 = 0. Suppose -k*c + 4 = -o*q, 3*q - c + 0*c = 8. List the prime factors of q.
2
Let t be (0 + -1)/(3/(-9)). Suppose u - 24 = -t*u. What are the prime factors of -4*5*(-3)/u?
2, 5
Let q(g) = -2*g - 28. What are the prime factors of q(-15)?
2
Suppose -4 = -2*n + 6. Suppose 0 = 3*p - 2*p - n. List the prime factors of p.
5
List the prime factors of (-32)/(-3) + 3/9.
11
Let o = -4 - -8. Suppose 5*d - 143 = o*k, -5*k - 157 = d - 0*d. Let r = k + 47. What are the prime factors of r?
3, 5
Let n = -2 + 2. Suppose n = -2*c - 0*c + 24. List the prime factors of c.
2, 3
Let x(s) = s**2 - 5*s - 2. Let j be x(6). Suppose 0 = -2*v + 14 - j. List the prime factors of v.
5
What are the prime factors of 51 + 4/(2/1)?
53
List the prime factors of -26 - -26 - 1*-176.
2, 11
Let g = 5 + -7. What are the prime factors of (5 - g)*(-5 - -6)?
7
Suppose -36 = -4*t + 64. What are the prime factors of t?
5
Suppose 3*v = -2*h + 18, -h - 4*v + 0 = -14. Let m be (12/14)/((-1)/(-14)). Let b = m - h. What are the prime factors of b?
2, 3
Let b(f) = 2*f - 15. Let c(s) = -s + 8. Suppose 0 = -5*l - i + 69, -3*i + 31 + 33 = 4*l. Let o(z) = l*c(z) + 6*b(z). List the prime factors of o(6).
2
Let o = 31 + 5. What are the prime factors of o?
2, 3
Let k(a) be the second derivative of a**5/20 + 7*a**4/12 - 5*a**3/6 - a**2 + 8*a. What are the prime factors of k(-7)?
3, 11
Suppose -29 - 46 = -3*y. List the prime factors of y.
5
Let f = 131 + 14. What are the prime factors of f?
5, 29
Let n = 8 + 78. What are the prime factors of n?
2, 43
Let y be 1 - (2 + 1 + -4). Suppose y*v = v + 9. What are the prime factors of v?
3
Let l(t) = -2*t - 6. Let r be l(-6). Suppose -3*c + r = -0. List the prime factors of c/3*42/4.
7
Let o = 1 + 3. Let k be (2/o)/(5/30). Suppose i - 1 - 4 = -x, i = k*x - 3. What are the prime factors of x?
2
Let w = 5 + 120. Suppose 2*j = -3*d + w, 0 = 4*d - 4*j + 16 - 196. List the prime factors of d.
43
Let r(h) = -h**3 - 5*h**2 - h - 5. Let w be r(-5). Let v = -5 - w. Let d(k) = -k**2 - 5*k + 2. What are the prime factors of d(v)?
2
Let s = 15 - 10. Let b = s - 2. Let i = 5 - b. What are the prime factors of i?
2
Let n(r) = -r + 14. Let u be n(11). Let f(z) = 7*z + 4. What are the prime factors of f(u)?
5
What are the prime factors of (1 + 3)/(4 + -3)?
2
Suppose -11*a = 6*a - 6324. What are the prime factors of a?
2, 3, 31
Let j = 21 - 13. Let d = 21 - j. List the prime factors of d.
13
Suppose 1 = -m + 3. Suppose 5*u - 45 = m*u. Suppose -5*g - 3*a = -4*g - 5, -2*a - u = -g. What are the prime factors of g?
11
Let o = -55 + 91. List the prime factors of o.
2, 3
Suppose -j - 306 = -7*j. What are the prime factors of j?
3, 17
Let f be 2/(-3) + (-28)/12. Let x be 0/(-1)*(2 + f). Suppose 5*v - 14 - 1 = x. List the prime factors of v.
3
What are the prime factors of 6636/27 - 4/(-18)?
2, 3, 41
Suppose w - 3*w + 144 = 0. List the prime factors of w.
2, 3
Let w = -8 + 18. Suppose 4*p - 20 = 4*c, 4*c - c - 2*p = -10. Let h = c + w. List the prime factors of h.
2, 5
Suppose 0 = 2*d + 3*o - 139, 0*d + 5*o + 410 = 5*d. List the prime factors of d.
7, 11
Let z be 20/(-12) + 2/(-6). Let d = 1 - z. What are the prime factors of d?
3
List the prime factors of 3 - 2/(-1 - -3).
2
Let p = -3 + 1. List the prime factors of p/(-7) - (-183)/21.
3
Suppose -10*m = 2*m - 1740. List the prime factors of m.
5, 29
Let n(v) = -v + 6. Let c be n(4). Suppose c*a = 6*a + 8. List the prime factors of 7*((-24)/14)/a.
2, 3
Let c(s) be the first derivative of s**6/360 + s**5/120 + s**3/3 - 1. Let r(w) be the third derivative of c(w). What are the prime factors of r(-2)?
2
Let z(y) = 3*y + 6. Let q be (8/(-6))/((-3)/(-9)). Let r be z(q). What are the prime factors of (-2 + 1)/(2/r)?
3
Let f(t) = 1 + 6*t**2 + 2 - 4. Let s be f(1). Suppose -3*l = -s*k + 31 + 29, 5*k + 3*l - 30 = 0. List the prime factors of k.
3
Let i be (-67 - -10)*(-2)/6. Let q = -10 + i. List the prime factors of q.
3
Suppose 3*a - 17 = -5*u, -2*u + u - 4*a = 0. What are the prime factors of u?
2
Let i = 8 + -3. Let q = i - -8. What are the prime factors of q?
13
Suppose 0 = -5*f + 4*f - 2. List the prime factors of -3 + (17 - 2/f).
3, 5
Let y(j) = -j**2 + j. Let x be y(0). Suppose m - 4 = -x*m. Suppose -2*w = 3*r - 17, -r = -m*w + 3*r + 44. What are the prime factors of w?
2, 5
Let w(c) = -5*c - 15. Let n be w(-10). Let q = -16 + n. List the prime factors of q.
19
Let d = 10 + -7. Suppose -d*z = -0*z - 57. What are the prime factors of z?
19
Let a = -13 + 8. Let v = 8 + a. Suppose v*k = 12 - 3. List the prime factors of k.
3
Suppose 2*s - 2 = -2*k, 0*k + 4*k - 4*s + 4 = 0. Suppose -5*t + 125 + 70 = k. What are the prime factors of t?
3, 13
Let i = 26 + -20. What are the prime factors of i?
2, 3
Let c(p) = -4*p**2 - p + 1. Let n be c(-4). Let q = 84 + n. List the prime factors of q.
5
Let j = 5 + -2. Suppose 5*n - 9 = 3*x, j*x - 7 = n - 4. What are the prime factors of n?
3
Let f = -51 + 247. What are the prime factors of f?
2, 7
Let m(w) = w + 12. Let n be m(-12). Suppose 0 = 5*a + 3*s - 39, -3*a - 2*s + 27 = s. Suppose -y + a + 2 = n. What are the prime factors of y?
2
Suppose -27 = -2*g - s, 5*g - 6*s = -4*s + 90. Suppose 5*i - 19 = g. List the prime factors of i.
7
Let d = -332 - -607. List the prime factors of d.
5, 11
Let n = 146 + -74. What are the prime factors of n?
2, 3
Let p(r) be the second derivative of -r**5/20 + 2*r**4/3 - r**3 + 3*r**2/2 - r. List the prime factors of p(7).
2, 5
Suppose -5*a + 5 = 5*y, 0*y = -2*a - 4*y + 10. Let g = a - -11. What are the prime factors of g?
2
Let v = -47 + 77. List the prime factors of v.
2, 3, 5
Suppose -1 = -2*l + 1. What are the prime factors of (l - 0)*-1*-13?
13
Suppose 0 = 7*i - 653 - 467. List the prime factors of i.
2, 5
Suppose -2*d + 28 + 8 = 0. List the prime factors of d.
2, 3
Suppose y = 6*y + 15. Let t = y - -13. What are the prime factors of t?
2, 5
Let c = 3 + 2. Suppose 9*w = 8*w + c. List the prime factors of w.
5
Let u = -8 - -2. Let z(i) = -i - 6. Let t be z(u). Suppose t = -4*q + q - 4*o - 8, -4*q - 5*o = 9. What are the prime factors of q?
2
What are the prime factors of (320/(-7) - 2/7)*-2?
2, 23
Let i be (-4 + 2)/((-2)/4). Let j = i + 1. Suppose 0 = j*m + 6*h - 2*h + 5, -2*m - 9 = 3*h. List the prime factors of m.
3
Let l(g) = 10*g**2 + 2*g + 1. Let q be l(-1). Let f = 8 + q. List the prime factors of f.
17
Let v(l) = -l**3 + 6*l**2 + 2*l + 4. Let f be v(6). Suppose -4*q = 4*d - 40, 4*q - 4*d + 2*d = f. What are the prime factors of q?
2, 3
Suppose 2*x + 25 = 5*o, -3*x + 5*o - 5 = 30. Let h(z) = 5*z - 1. Let r(y) = 2*y - 1. Let w(k) = -3*h(k) + 7*r(k). What are the prime factors of w(x)?
2, 3
Let i(j) = -j**3 + 4*j**2 + 7*j + 1. Let q be (-1 - (0 - 2))*5. What are the prime factors of i(q)?
11
Suppose -3*x - 153 - 27 = 0. Let p = -4 - x. What are the prime factors of p?
2, 7
Let i(l) = -13*l + 2. List the prime factors of i(-7).
3, 31
Suppose 8 = 4*t - x, 0 = 3*t + 3*x - 2*x - 13. Suppose 3*b - t = -0. List the prime factors of (-10)/(-4)*(b - -1).
5
Let w = 41 + 1. List the prime factors of w.
2, 3, 7
Let x(r) = 43*r**2 - r - 1. Let o be x(-1). Let h = o + -31. Let i = h - 0. What are the prime factors of i?
2, 3
|
{
"pile_set_name": "DM Mathematics"
}
|
rest 100000.
700000
What is 91.058 rounded to the nearest 10?
90
Round 242.71273 to 1 decimal place.
242.7
Round 0.00208676 to 5 dps.
0.00209
Round -1169.065 to the nearest one thousand.
-1000
What is 243.53102 rounded to the nearest 10?
240
Round 0.00059777 to 4 dps.
0.0006
Round 1.244174 to 3 decimal places.
1.244
What is -168531.92 rounded to the nearest ten?
-168530
Round -0.00023015 to 3 decimal places.
0
Round -9.66378 to 1 dp.
-9.7
What is 15.00105 rounded to two dps?
15
What is -114731.8 rounded to the nearest 100?
-114700
What is -3.93989 rounded to 3 dps?
-3.94
What is 28387600 rounded to the nearest 1000000?
28000000
Round -89981900 to the nearest 100000.
-90000000
What is -20553470 rounded to the nearest one hundred thousand?
-20600000
What is -959.6036 rounded to one decimal place?
-959.6
What is 237699000 rounded to the nearest one million?
238000000
What is -12029.61 rounded to the nearest 100?
-12000
Round 0.0948736 to 2 decimal places.
0.09
Round 0.00221401 to 3 dps.
0.002
Round 16.67701 to one dp.
16.7
What is -74796.2 rounded to the nearest one thousand?
-75000
Round 3563576 to the nearest 1000.
3564000
Round -0.271308 to two dps.
-0.27
What is -0.0000035657 rounded to six dps?
-0.000004
Round -21.1282 to zero decimal places.
-21
What is 1014038.7 rounded to the nearest one thousand?
1014000
What is -6879.9 rounded to the nearest ten?
-6880
Round 5080056 to the nearest ten thousand.
5080000
What is 27600.61 rounded to the nearest one thousand?
28000
Round 0.00000023815 to 6 dps.
0
What is -18926.8 rounded to the nearest ten thousand?
-20000
What is 9382600 rounded to the nearest 100000?
9400000
Round -218.606 to the nearest integer.
-219
Round -0.21265778 to 4 decimal places.
-0.2127
Round -0.000107555 to six dps.
-0.000108
What is 5.5648431 rounded to 2 decimal places?
5.56
Round 921663 to the nearest one hundred thousand.
900000
What is -0.000002100734 rounded to 7 decimal places?
-0.0000021
What is 437958000 rounded to the nearest one million?
438000000
What is 0.00000609108 rounded to seven dps?
0.0000061
Round 10833.82 to the nearest 10.
10830
What is -5545689 rounded to the nearest ten thousand?
-5550000
What is -0.0000000301007 rounded to seven dps?
0
What is -70613940 rounded to the nearest 100000?
-70600000
What is 0.000043613591 rounded to six dps?
0.000044
Round -6807.58 to the nearest ten.
-6810
Round 3344.096 to the nearest one hundred.
3300
What is 6.174323 rounded to three dps?
6.174
Round 27.44851 to the nearest integer.
27
Round -73101.79 to the nearest one thousand.
-73000
What is -0.00003766632 rounded to five decimal places?
-0.00004
What is 10860.617 rounded to the nearest integer?
10861
What is 0.0005024852 rounded to four decimal places?
0.0005
Round 1632.57 to zero decimal places.
1633
Round -0.00003937245 to seven decimal places.
-0.0000394
What is 0.1731025 rounded to 4 dps?
0.1731
What is -0.0624368 rounded to three decimal places?
-0.062
What is 249.11062 rounded to the nearest one hundred?
200
What is -1484.3885 rounded to the nearest 100?
-1500
What is -38.09321 rounded to 1 decimal place?
-38.1
Round 8076506 to the nearest one thousand.
8077000
What is -0.020431585 rounded to 3 decimal places?
-0.02
Round 0.000001444524 to 7 dps.
0.0000014
Round -272490 to the nearest 100000.
-300000
Round 118632.38 to the nearest 1000.
119000
Round 338.5234 to the nearest 10.
340
What is -0.01110119 rounded to four decimal places?
-0.0111
What is -0.00019585953 rounded to six decimal places?
-0.000196
Round 4.92604 to the nearest 100.
0
What is -95840369 rounded to the nearest 100000?
-95800000
Round -275195500 to the nearest one million.
-275000000
Round -60.278365 to the nearest integer.
-60
Round 45989120 to the nearest 100000.
46000000
What is -1997.2653 rounded to the nearest 10?
-2000
What is -15230270 rounded to the nearest 1000000?
-15000000
What is 42684800 rounded to the nearest one hundred thousand?
42700000
Round -238.82 to the nearest ten.
-240
Round 290392000 to the nearest one million.
290000000
Round 0.00066168 to 5 decimal places.
0.00066
Round 379571.1 to the nearest 1000.
380000
What is -152911900 rounded to the nearest one hundred thousand?
-152900000
Round -946953.1 to the nearest 1000.
-947000
What is -8336.843 rounded to the nearest ten?
-8340
Round -119950.66 to the nearest 100.
-120000
What is 124385750 rounded to the nearest 100000?
124400000
Round 0.0213672 to four decimal places.
0.0214
What is 0.13435 rounded to four decimal places?
0.1344
Round 0.0000001693903 to 7 decimal places.
0.0000002
What is 0.0000402651 rounded to 6 decimal places?
0.00004
Round -2190468.5 to the nearest one hundred thousand.
-2200000
What is 0.00003713284 rounded to 5 dps?
0.00004
Round -0.001289704 to four dps.
-0.0013
What is -0.000000465408 rounded to seven decimal places?
-0.0000005
What is 153.7073 rounded to one decimal place?
153.7
Round -4.36025 to 1 dp.
-4.4
What is -0.0130259 rounded to 4 decimal places?
-0.013
What is 0.000006369228 rounded to 7 dps?
0.0000064
Round 11.85651 to 1 decimal place.
11.9
Round 318.57317 to 0 dps.
319
What is -56.7968 rounded to the nearest ten?
-60
Round 162829500 to the nearest one million.
163000000
Round 386.2945 to the nearest integer.
386
Round 12.3099 to 2 dps.
12.31
What is -0.0007268842 rounded to 5 dps?
-0.00073
Round 235.5959 to the nearest 10.
240
Round 798611600 to the nearest one hundred thousand.
798600000
What is 4436140 rounded to the nearest one million?
4000000
Round 10921.256 to the nearest one thousand.
11000
Round -0.00007111798 to six decimal places.
-0.000071
What is -1461.637 rounded to the nearest one hundred?
-1500
What is 29198.64 rounded to the nearest 100?
29200
What is 474394.6 rounded to the nearest 100000?
500000
What is -0.0397063 rounded to 3 dps?
-0.04
Round -0.0007297485 to four dps.
-0.0007
What is 30850.192 rounded to the nearest 10?
30850
Round 11644.7 to the nearest one hundred.
11600
What is -3008061 rounded to the nearest one hundred thousand?
-3000000
Round 0.02747593 to five dps.
0.02748
Round 0.1979995 to 4 decimal places.
0.198
What is 1897195.3 rounded to the nearest 1000000?
2000000
Round -702971.85 to the nearest one hundred thousand.
-700000
What is 0.01357467 rounded to 4 dps?
0.0136
What is 0.0423227 rounded to three dps?
0.042
Round -601.94588 to the nearest 100.
-600
Round -0.281172 to one decimal place.
-0.3
What is 7.3227 rounded to 2 decimal places?
7.32
What is 7008.39 rounded to the nearest one thousand?
7000
Round -3209896000 to the nearest one million.
-3210000000
What is 946943 rounded to the nearest 1000?
947000
Round -2.3616308 to two dps.
-2.36
Round 2454340 to the nearest ten thousand.
2450000
Round 0.00000550364 to six dps.
0.000006
What is 0.014230712 rounded to five decimal places?
0.01423
What is -69527100 rounded to the nearest one million?
-70000000
Round 779.719 to zero dps.
780
Round 2164760 to the nearest 1000.
2165000
What is -43859 rounded to the nearest ten thousand?
-40000
Round 18016110 to the nearest 10000.
18020000
Round -0.467145 to 3 decimal places.
-0.467
Round 0.6645159 to 1 dp.
0.7
What is 0.05390963 rounded to 2 decimal places?
0.05
What is -2.2521996 rounded to two decimal places?
-2.25
Round -7865105 to the nearest 10000.
-7870000
Round 6.76897 to one decimal place.
6.8
What is 4.82761 rounded to one dp?
4.8
What is -0.708389 rounded to 1 dp?
-0.7
What is -0.00922961 rounded to 3 decimal places?
-0.009
Round -931.3509 to the nearest integer.
-931
What is 0.04316095 rounded to 3 decimal places?
0.043
Round 51.09035 to the nearest ten.
50
What is 835535.8 rounded to the nearest one hundred?
835500
Round 0.2860688 to 4 dps.
0.2861
Round -0.20265618 to two decimal places.
-0.2
Round -2.21338 to 0 dps.
-2
What is -17044.517 rounded to the nearest 1000?
-17000
What is 0.018453015 rounded to 5 dps?
0.01845
Round -0.001519337 to six dps.
-0.001519
What is -0.1634225 rounded to 3 dps?
-0.163
Round -0.0000539033 to five decimal places.
-0.00005
What is 0.012778509 rounded to three dps?
0.013
Round -1.1375171 to four decimal places.
-1.1375
What is 0.000240673 rounded to six decimal places?
0.000241
What is 0.0000984021 rounded to six dps?
0.000098
What is 7553.3 rounded to the neare
|
{
"pile_set_name": "DM Mathematics"
}
|
Is j at least 2?
True
Let j be (1 - -2) + 1/(-1). Let g be j - 3 - (-1579)/(-8). Let z = -198 - g. Which is smaller: z or 1?
z
Let u be 10/(6/(-3))*1. Let v be u*2/6*-3. Is v > -0.1?
True
Let k = -1945/14 - -139. Suppose 4*w + 20 = -3*v + 7*v, 4*w - v = -8. Which is greater: k or w?
k
Let j be 2/3*15*(-1)/13. Is j at least -2?
True
Let s be 1716/1755 + (-2)/(1*2). Is -1 not equal to s?
True
Let j = 80 - 54. Suppose 5*f - 44 = j. Let s = f + -41/3. Which is bigger: -3/2 or s?
s
Let w(r) = -r**3 - 15*r**2 - 13*r - 6. Let q be w(-14). Is q less than or equal to -1/4?
True
Suppose -5*m = l + 4*l - 15, -5 = -5*l. Let k be ((-1)/m)/(55/20). Which is smaller: 0 or k?
k
Suppose 0 = 5*m - 5 - 0. Which is greater: 1.2 or m?
1.2
Let y = -67 - -738/11. Let w = y + -13/22. Do w and -2 have the same value?
False
Suppose -7*g = -3*g + 4. Do g and 2/25 have the same value?
False
Suppose 0*u + 5*y = 3*u - 20, 2*y - 13 = -3*u. Let t = 15 + -11. Is u < t?
False
Let i = 623/4 + -155. Let y = -1.5 - -0.5. Is y != i?
True
Suppose 0 = -c + 5*z - 3, c = -4*z - 7 - 23. Do -18 and c have different values?
False
Let c = 3/2 - 2. Is 0.1 less than c?
False
Let g be (-4)/(-126)*12/(-16). Which is smaller: 0 or g?
g
Let k be -4 + 6/(6/3). Suppose 5*r = -2*y - 33 - 0, -5*y - 2*r - 30 = 0. Is k less than or equal to y?
False
Let i be ((3078822/8)/(-3))/(-25). Let a = 5131 - i. Let u = -3/25 - a. Is 1 < u?
False
Let f be (-13)/(702/(-132))*-2. Which is bigger: -0.1 or f?
-0.1
Let g = 1.6 - 1.6. Which is smaller: -12 or g?
-12
Let s(a) = 5*a + 2. Let m be s(-2). Let h be 4/6 - m/(-12). Let f = 43/4 - 11. Does f = h?
False
Let c(j) = 5*j + 10*j**2 - 1 + 4 - 4*j**2 - j**3. Let m be c(5). Let s = -161/3 + m. Which is smaller: 1 or s?
s
Let w = -1 + -91. Let m = 23608/9 + -45557/18. Let d = m + w. Is d at most as big as 0?
False
Let z(d) = -d**2 + 16*d + 13. Let y be z(17). Which is smaller: y or -6?
-6
Let d be ((-5)/(-10))/((-2 + 0)/54). Which is bigger: -13 or d?
-13
Let p = -14.2 + 15. Which is smaller: 0 or p?
0
Let s = 2 - -1. Let l be s*(-2 - (-13)/7). Does l = 0?
False
Let r = 58 + -59. Is r greater than or equal to -1/2?
False
Let g = -6.8 - -7. Let j = g - -0.7. Let w = j + -1. Is -0.1 not equal to w?
False
Let q = -1 - 3. Let v = q + 5. Which is greater: v or 3/2?
3/2
Let w = -0.17 + 0.07. Let i = w + 0.9. Let q = i - 0.74. Which is smaller: -1/3 or q?
-1/3
Let y(b) = b + 1. Let t be y(1). Suppose -2*s - t = -4. Are -2/15 and s non-equal?
True
Let h = -4/147 - 2197/294. Is -8 bigger than h?
False
Suppose 0*m - m - 1 = 0. Which is smaller: 2/175 or m?
m
Let c = -126 + 5797/46. Is c at least -1?
True
Let a be (-6)/(2/(-2) - 1). Suppose 1 + 2 = -a*m. Which is smaller: 2/11 or m?
m
Let a = 20 - 14. Is 2 at least a?
False
Suppose 5 = -3*z - 4. Let f = 1 + -1. Suppose f*v - 5 = v - j, j = 4. Which is smaller: z or v?
z
Let j = -1/801 - -713/801. Let w = -5/9 + j. Which is bigger: 1/2 or w?
1/2
Let m be 4/10 + (-6)/(-10). Let r = 737 + -50852/69. Let g = r + 133/345. Which is bigger: g or m?
m
Let s = -6.1 - -6. Let b = -4 - -4.2. Let o = b + s. Is 2 at least o?
True
Let r be 1 + 0/(-2 + 0). Let m(t) = 5*t**3 + 1 + 4*t**2 - 4*t**2 - 2*t**2. Let n be m(r). Which is greater: 3 or n?
n
Let p = 0.59 - 0.09. Let m = 0.7 - p. Which is greater: m or 1/7?
m
Suppose 3*a = 7 - 1. Which is greater: a or 30?
30
Suppose 2*b + 0*b = 0. Suppose 0 = 5*i - 5*h + 20, 3*h - 2*h - 5 = b. Are -1 and i nonequal?
True
Let h = 9 + -9. Let z = -0.01 - 0.29. Let r = h + z. Which is greater: 0 or r?
0
Let p = 4 + -3. Let o = -50 - -50. Are o and p non-equal?
True
Let x(t) = -t**2 + 7*t - 1. Let v be x(7). Let p be v + 3 - 3/2. Which is smaller: -0.3 or p?
-0.3
Suppose 4*b + 0 - 8 = 0. Let g be 4/3*(-15)/b. Is -10 at most g?
True
Let m = -8 + 13. Suppose 2 = a - 0*a. Suppose 6 = 2*r - a. Which is smaller: r or m?
r
Suppose -33 = -2*f + t, 0*f - 3*t = 4*f - 51. Do 14 and f have the same value?
False
Let f = 2 - 0. Suppose -5*l + 38 + 2 = 0. Let w be (-1*l/(-18))/f. Is 0 < w?
True
Suppose 3*v + 1 = 13. Let t be (2/v)/((-5)/10). Are -6/11 and t equal?
False
Let k = -8 - -9. Is 1/3 less than k?
True
Let a(y) = 4*y**2 - 3*y - 2. Let n be a(3). Let i be ((-2)/5)/(40/n). Which is smaller: 0.02 or i?
i
Let c(r) = -r - 4. Let v be c(-4). Suppose w = -v*w. Suppose w*u = -4*u. Which is greater: 1/5 or u?
1/5
Let z(t) = t**2 - 6*t - 1. Let o be z(6). Let h be (o/3)/(4/(-12)). Which is greater: -3 or h?
h
Suppose 0 = -0*h - 2*h + 4. Suppose -3 - 5 = -h*p. Is 3 greater than p?
False
Suppose -3*b + 7*b - 4 = -4*a, -b = 5*a - 13. Let v = -4 + a. Let k = 1 - 4. Do v and k have different values?
True
Let q be 1/4 + -3 - (-24)/32. Suppose 5 = -3*r - 7. Is q <= r?
False
Suppose 2*v - 7*v + 10 = 0. Let h = -9 + 11. Is v at least as big as h?
True
Suppose m = -3*m. Which is greater: -1/8 or m?
m
Suppose 0 = -5*d - 5*w - 30, -3*d - 16 = -d - 2*w. Which is smaller: -6 or d?
d
Let k be ((-14)/49)/((-2)/56). Is 8 at least k?
True
Let v(b) = 2*b**2 + 7*b + 13. Let h be v(-4). Which is smaller: 18 or h?
h
Let o be 2/13 + (-300)/(-78) + -12. Is -2 at least o?
True
Let m be -1 + 0 + 3 - 88. Let b = -689/8 - m. Suppose 2*w - 2 = -0*w. Do b and w have different values?
True
Let h be (-1)/3 + 2/(-4). Let r = h - -1/3. Are r and -1 non-equal?
True
Let r = 8 + -7. Is 14/9 >= r?
True
Let m(q) be the third derivative of q**4/24 + 5*q**3/6 + q**2. Suppose 0*y + 2*y = 2*k - 4, 0 = -5*y - 2*k - 24. Let c be m(y). Which is smaller: 4/9 or c?
4/9
Suppose -y + 5*o + 25 = 0, -y + 4 + 1 = -o. Let l be (y + (-6)/(-4))*2. Suppose -5*t - l = -2*t. Which is bigger: t or 2/7?
2/7
Let o = -0.02 + 6.02. Let q = o + -5.8. Are q and -1 unequal?
True
Let f be 15*(-1)/198*-251. Let x = -113/6 + f. Let h = -173 + 172. Is x at most h?
False
Suppose 4*l - 16 = k, 5*l - 20 = k + k. Which is smaller: -1 or l?
-1
Let c be (-7)/(-84)*-2*4/(-14). Which is bigger: c or -0.1?
c
Let i = 14 - 8. Let a = i - 5. Which is bigger: 0.2 or a?
a
Let m be (-8)/(-20) + 234/15. Is 18 greater than m?
True
Suppose 5*o = 5*f + 35, -o + 9 = -2*f + 3*f. Which is smaller: 10 or o?
o
Let o = -14 - -16. Let z = o - 2.1. Is z >= -5/2?
True
Let k = 0.45 + -0.4. Which is bigger: k or 5/6?
5/6
Let s be 1/(((-3)/(-1))/(-9)). Let o = -6 - -4. Let x be (-44)/24 + o/(-6). Which is bigger: x or s?
x
Let n(p) = -p**3 - 7*p**2 - 7*p - 3. Let m be n(-6). Suppose -m*s - 21 = -0*s. Suppose 0 = 4*u + 121 - 93. Are u and s non-equal?
False
Let b = 8 + -6. Let z = -0.66 + 0.56. Which is smaller: z or b?
z
Let u = -52 - -27. Which is greater: -26 or u?
u
Suppose 112 = 4*y - 0*y. Let w be (y/10 - 3) + 2. Which is smaller: w or 3?
w
Let t(b) be the second derivative of b**5/20 + b**4/3 + 2*b**3/3 + 3*b**2/2 - 2*b. Let u be t(-3). Is u <= 1/22?
True
Let m = 13/3 + -13/2. Which is greater: -1 or m?
-1
Let c be (24/29130)/(2/(-5)). Let q = -2879/16507 + c. Which is smaller: q or -1?
-1
Let w = -169 + 2199/13. Is 1 equal to w?
False
Let f be (-2 + 2)*1/(-3). Suppose 0 = -z - 4 - f. Which is greater: -3 or z?
-3
Suppose 2*f + 2*s - 128 = 0, -4*f + 5*s = f - 310. Let t be 14/18 + 14/f. Suppose -4*u = 3*o - 2*o - 4, 2*u - 16 = 3*o. Which is smaller: t or u?
t
Suppose 2*f = -2*f - 4. Which is smaller: f or 3?
f
Let a = 68 + -68. Let z be 1/(4/((-12)/27)). Which is greater: z or a?
a
Let v = 0.79 + -4.49. Let b = -0.7 - v. Which is greater: 1 or b?
b
Let r = 12 - 10. Suppose 2*o = o - r. Which is smaller: -3/2 or o?
o
Suppose 3*a - v = -0 - 12, -2*a + 2*v - 12 = 0. Let k be (-1)/a + (-65)/15. Let d = -4 - -1. Which is smaller: d or k?
k
Let l = 9 + -8. Which is smaller: -2/29 or l?
-2/29
Let i = 17 - 17.1. Let o = -0.1 - -0.3. Let h = o + i. Do -1 and h have the same value?
False
Let a(x) = 4*x - 3. Let h be a(2). Does 0 = h?
False
Let f = -76/135 + -1/27. Is f greater than -1?
True
Let s be 6/4*(-4)/6. Let y(a) = a + 1. Let i be y(s). Is i less than -1/14?
False
Let h = 0.022 - 7.022. Is h >= -0.2?
False
Let p be (0 - 1/(-4))*-1. Let h = -12 + 14. Suppose 0 = 4*u - h*u. Which is smaller: p or u?
p
Let z = 2008 - 845370/421. Let y = 5900/1263 + z. Is y greater than 5?
False
Let u be -5*(-2 - (-9)/5). Suppose 4*n = b + 2 + u, -5*n - 2*b + 20 = 0. Which is bigger: n or 5/4?
n
Let v be ((-3)/(-2))/(3/2). Let u be ((
|
{
"pile_set_name": "DM Mathematics"
}
|
- 70*m**2 - m - 13. Suppose z(p) = 0. Calculate p.
-16/3, -3, -1
Let w be 18/(-27)*3*6/(-4). Factor -5 - 15 - 8*q + 5*q**2 + 15*q**w + 10 + 5*q**4 - 7*q.
5*(q - 1)*(q + 1)**2*(q + 2)
Let m = 2199 + -24188/11. Let z(s) be the first derivative of -1/33*s**6 + 7/11*s**2 + 16/33*s**3 + m*s**4 - 4/55*s**5 + 4/11*s + 15. Factor z(r).
-2*(r - 2)*(r + 1)**4/11
Let n(w) be the third derivative of w**7/4200 - w**6/900 + w**5/600 - 11*w**3 - 49*w**2. Let r(c) be the first derivative of n(c). Factor r(l).
l*(l - 1)**2/5
Determine z so that -41/2*z - 1681/4 - 1/4*z**2 = 0.
-41
Let w be (-147)/273*(3 + (-19)/2). Factor -w*t - 2 - t**2 + 1/2*t**3.
(t - 4)*(t + 1)**2/2
Let z(s) be the first derivative of s**4/3 + 2060*s**3/9 - 2*s**2/3 - 2060*s/3 + 264. Solve z(l) = 0 for l.
-515, -1, 1
Let 999*m**2 + 231*m**3 + 234 - 979 - 13*m**4 + 840*m + 469 + m**4 = 0. What is m?
-2, 1/4, 23
Let h be -10 + (3/(-2))/(6/(-20)). Let i be (-3 + (0 - -3))/(10/h). What is y in -1/2*y**5 + 32*y**2 + 6*y**4 + 0 - 24*y**3 + i*y = 0?
0, 4
Let -8/9*d - 4/9*d**3 + 14/9*d**2 - 2/9*d**4 + 0 = 0. What is d?
-4, 0, 1
Suppose 0 = 3472*b - 3480*b + 75072. Let o be (-1)/6 + 2668/b. Factor 10/17*l - 14/17*l**2 + 6/17*l**3 - o.
2*(l - 1)**2*(3*l - 1)/17
Let u(g) be the first derivative of 2*g**6/3 - 32*g**5/5 + 17*g**4 - 40*g**3/3 + 879. Suppose u(c) = 0. Calculate c.
0, 1, 2, 5
Let d be 29*-1 - (-34)/(-17). Let f = d - -34. Factor 27*x**2 + 1 + f - 15*x**2 + 6*x - 10*x**2.
2*(x + 1)*(x + 2)
Solve 18*l**2 + 2*l**2 + 3055 + 5*l + 10*l - 3060 = 0.
-1, 1/4
Let b be ((-32)/(-40)*-2)/(21/(-20)). Let h = b + -76/105. Factor h*y**5 - 6/5*y**4 + 0*y + 0*y**3 + 2/5*y**2 + 0.
2*y**2*(y - 1)**2*(2*y + 1)/5
Factor -8*a**2 + 251*a**2 + 926*a + 22*a**2 + 2 + 4 + 43*a**2.
2*(a + 3)*(154*a + 1)
Let t(p) = -3*p**3 - 9*p**2 - 14*p + 34. Let m(v) = -38*v**3 - 109*v**2 - 175*v + 407. Let f(g) = 2*m(g) - 25*t(g). Factor f(d).
-(d - 6)*(d - 3)*(d + 2)
Let f(o) be the first derivative of 0*o + 95 - 75/4*o**2 - 5*o**3 - 3/8*o**4. Solve f(r) = 0.
-5, 0
Let j(r) be the second derivative of -16*r**7/189 + 8*r**6/135 + 47*r**5/90 - 28*r**4/27 + 19*r**3/27 - 2*r**2/9 - 1527*r. Solve j(s) = 0 for s.
-2, 1/4, 1
Let f = -212 - -167. Let z be -2*3*6/f. Find h, given that 2/5*h**3 - 6/5*h + 0 - z*h**2 = 0.
-1, 0, 3
Let y(v) = v**3 + 2*v**2 + 3*v + 1. Let r be y(0). Factor 5*h + 9 + r - 3 + 7 - h**2.
-(h - 7)*(h + 2)
Let s = 21713/48852 - 1/48852. Factor 4/9*u**2 - 4/9*u - s*u**4 + 4/9*u**3 + 0.
-4*u*(u - 1)**2*(u + 1)/9
Let n be ((-1)/(-27) - (-52 + 166687/3348)) + (-42)/(-8). Suppose -3/2*b**4 + 6 - 9/2*b**2 + 15/2*b**3 - n*b = 0. What is b?
-1, 1, 4
Suppose -4*l + 2*d = -10, -4*l - 3*d + 11679 = 11654. Let 0 - 32/9*n**2 - 1058/9*n**l - 368/9*n**3 + 0*n = 0. Calculate n.
-4/23, 0
Let x(d) = -3*d**2 + d + 6. Let t(r) = -18*r**2 + 152*r - 1554. Let q(n) = -t(n) + 5*x(n). Solve q(w) = 0 for w.
16, 33
Factor -i**4 + 6434*i**2 - 90*i + 405 + 90*i**3 - 4*i**4 - 6834*i**2.
-5*(i - 9)**2*(i - 1)*(i + 1)
Suppose 0*d = -14*d + 70. Factor l**d + 2165*l**4 - 2162*l**4 - 3*l**2 - l**2.
l**2*(l - 1)*(l + 2)**2
Let u be (-4)/(-18) - ((-962)/(-117) + -8). Let h be 14/(-3)*30/(-35) - u. Solve -33/7*b**2 - 10/7*b**3 - 1/7*b**h - 16/7 - 40/7*b = 0.
-4, -1
Let x(z) = z**2 - z. Let h(b) = 2*b**2 + 5*b. Let p(c) = 10*c + 62. Let u be p(-6). Let k(q) = u*h(q) - 6*x(q). Factor k(i).
-2*i*(i - 8)
Let j(n) = -n**3 - 205*n**2 + 3*n + 206. Let h(p) = p**3 + p**2 + p. Let z(b) = -h(b) + j(b). Suppose z(g) = 0. Calculate g.
-103, -1, 1
Factor 577*f - 30911 + 117*f - 136*f + 30215 + 1060*f + 14*f**2.
2*(f + 116)*(7*f - 3)
Let z = 632 + -655. Let l(r) = 15*r + 345. Let m be l(z). Solve 4/7*p**5 - 4/7*p**2 + 10/7*p**4 + 0 + m*p + 2/7*p**3 = 0.
-2, -1, 0, 1/2
Let s(m) be the first derivative of -m**6/10 + m**4/4 - 89*m - 41. Let p(w) be the first derivative of s(w). Factor p(o).
-3*o**2*(o - 1)*(o + 1)
Let l(m) = 2*m + 13. Let k(u) = u + 4. Let c(g) = 7*k(g) - 2*l(g). Let j be c(0). Factor -16*w**2 + w + 0*w + 15*w**j.
-w*(w - 1)
Suppose 0 = -25*s - 47 + 97. Let q(g) be the first derivative of 14 + 1/3*g**3 + 5*g - 3*g**s. Find k, given that q(k) = 0.
1, 5
Let x(d) = 2*d**2 + d. Let j(p) = -3*p**2 - 26 + 9*p + 17*p**2 - p**3 + 26. Let l(q) = 2*j(q) - 18*x(q). Let l(a) = 0. Calculate a.
-4, 0
Let s(h) = -7*h**2 - 142*h - 15. Let z(t) = -8*t**2 - 142*t - 18. Let d(q) = -6*s(q) + 5*z(q). Factor d(b).
2*b*(b + 71)
Suppose -5*u + 29*u + 36 = 84. Let l(m) be the second derivative of 0 - 37*m + 1/6*m**3 + 0*m**5 - 1/60*m**6 + 1/8*m**4 + 0*m**u. Factor l(s).
-s*(s - 2)*(s + 1)**2/2
Suppose -74/15*c - 52/5 - 2/15*c**3 + 16/3*c**2 = 0. Calculate c.
-1, 2, 39
Let f(c) be the third derivative of -c**6/480 - 481*c**5/60 - 231361*c**4/24 + 29*c**2 - c + 5. Solve f(r) = 0 for r.
-962, 0
Factor -1211*i - 18*i**2 + 363*i + 257*i + 99.
-3*(i + 33)*(6*i - 1)
Factor 22/3 + 21/2*q**2 + 1/6*q**4 + 8/3*q**3 + 46/3*q.
(q + 1)*(q + 2)**2*(q + 11)/6
Suppose 2*u + 10 = 4*s, 4*s - 19*u = -16*u + 7. Let a(d) be the first derivative of 1/15*d**5 - 1/6*d**s + 1/3*d**2 + 21 + 0*d**3 - 1/3*d. Factor a(t).
(t - 1)**3*(t + 1)/3
Factor 5/2 + 11/4*p + 1/4*p**2.
(p + 1)*(p + 10)/4
Suppose 0 = -5*n + 20, 0 = -4*r - 0*r - 4*n - 264. Let s be (-12)/(-56) - 20/r. Factor -4*u**3 - 11/4*u**2 + 0 - s*u - 7/4*u**4.
-u*(u + 1)**2*(7*u + 2)/4
Let s = -20/73 + 644/219. Let n be -11 + 3197/207 - (-1 + 5). Factor -n*h**2 + s + 4/9*h.
-4*(h - 3)*(h + 2)/9
Let p(i) be the second derivative of -1/130*i**5 - 1/195*i**6 + 0 + 0*i**2 + 1/39*i**3 + 52*i + 1/78*i**4. Factor p(n).
-2*n*(n - 1)*(n + 1)**2/13
Let 0*o + 2/7*o**4 + 0 - 412/7*o**2 - 410/7*o**3 = 0. What is o?
-1, 0, 206
Let i(g) be the first derivative of 4*g**5/5 - 42*g**4 - 4*g**3/3 + 84*g**2 + 73. What is m in i(m) = 0?
-1, 0, 1, 42
Let y(n) be the first derivative of -5*n**4/16 + 15*n**3/4 - 5*n**2 + 628. What is g in y(g) = 0?
0, 1, 8
Let m be 8/(-32) + 1771743/2604. Solve -m*p + 36501/7 - 3/7*p**3 + 207/7*p**2 = 0 for p.
23
Suppose -y + l + 151 = 147, 0 = 5*y + 4*l - 2. Factor 4/5*x + 6/5 - 2/5*x**y.
-2*(x - 3)*(x + 1)/5
Let h(x) be the second derivative of -x**4/36 - 127*x**3/18 - 296*x. Determine w, given that h(w) = 0.
-127, 0
Suppose -2*v**5 - 5092611 + 1268*v**3 - 618*v**3 - 11508589 + 136*v**4 + 1364*v**3 - 130228*v**2 - 2953720*v = 0. Calculate v.
-14, 55
Let p(x) be the first derivative of -x**5/30 + x**4/6 - 27*x**2 + 37. Let s(d) be the second derivative of p(d). Factor s(m).
-2*m*(m - 2)
Suppose 34*d - 14 = 27*d. Determine r, given that -87*r - 4*r + 0*r**2 + 1352 - r**d + 3*r**2 - 13*r = 0.
26
Let m(h) be the first derivative of 2*h**3/21 + 292*h**2/7 + 42632*h/7 + 1416. Let m(j) = 0. Calculate j.
-146
Let z(t) be the first derivative of t**4/24 - 3*t**3/2 + 47*t**2/12 + 25*t/2 + 8553. Find q, given that z(q) = 0.
-1, 3, 25
Factor -5*m**4 - 154258 + 2*m**3 - 80*m + 154338 + 18*m**3.
-5*(m - 2)**3*(m + 2)
Let v(m) be the second derivative of 15552*m**5/25 - 72*m**4/5 + m**3/10 - 4055*m. Factor v(x).
3*x*(144*x - 1)**2/5
Suppose 0 = -5*n - c + 6*c - 10, 4*c - 12 = 0. Suppose n = -2*q + 3*q, -8 = -d - 5*q. Factor 301*y - 8*y**d + 23*y**3 - 5 + 25*y**2 - 296*y.
5*(y + 1)**2*(3*y - 1)
Let d = 386381/2360628 + -21/11404. Let n = d - -13/46. Factor n + 4/3*r**2 + 26/9*r.
2*(r + 2)*(6*r + 1)/9
Suppose 0 = 12*o - 56*o + 9*o + 24*o. Let 4/5*t**3 + 8/5*t - 18/5*t**2 + o = 0. Calculate t.
0, 1/2, 4
Let a = -18/7225 + 5834/21675. Solve -a*r**3 + 2/5*r**4 + 0 + 0*r**2 + 0*r = 0 for r.
0, 2/3
Suppose 26*a - 65 - 49 = -36. Factor 1/2*h**a + 13/2*h + 3 + 4*h**2.
(h + 1)**2*(h + 6)/2
Let v(x) be the first derivative of -x**6/51 - 4744*x**5/85 - 1877041*x**4/34 - 993571940*x**3/51 - 987950300*x**2/17 - 986078000*x/17 + 795. Factor v(t).
-2*(t + 1)**2*(t + 790)**3/17
Let s(p) = 56*p - 3*p**3 + 57*p + 2*p**2 - 94*p - 13 - p**2. Let j(a) = -6*a**3 + 3*a**2 + 39*a - 27. Let o(h) = 4*j(h) - 9*s(h). Solve o(u) = 0.
-3, 1
Let w = 3/34474 + 103401/241318. Suppose -5*b = -2*b - 9. Factor -3/7*h**4 + 0 + 1/7*h**b + 1/7*h**5 - 2/7*h + w*h**2.
h*(h - 2)*(h - 1)**2*(h + 1)/7
Let j = -10/671 + 2171/100650. Let h(f) be the third derivative of 0*f**3 + 0*f - 1/1050*f**7 - j*f**6 - 11*f**2 - 1/60*f**5 - 1/60*f**4 + 0. Factor h(k).
-k*(k + 1)**2*(k + 2)/5
Let h(y) = -
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 10 = t + x, 5*y = -3*t for t.
-5
Suppose 232*n - 213 = 457 + 258. Solve -5*j = 2*u + 21, -3*u - 49 = -n*j - 52 for u.
-3
Suppose -15*b + 86 = -4. Suppose 92*m - 90*m = b. Solve h - 12 = m*k, -5*k + 2*h - 16 = -h for k.
-5
Let a(o) = 24*o - 4. Let f(p) = p. Let j(h) = a(h) - 12*f(h). Let d be j(5). Let n = 61 - d. Solve 5*w + 23 = -u, 5*u = n*w + 5 - 0 for w.
-4
Let p be 7/(84/(-9)) + 441/28 + -5. Solve 4*r - 5*z - 2 = 0, -r + 13 = 15*z - p*z for r.
3
Let n(y) = -5*y**3 - 11*y**2 + 5*y + 16. Let r be n(-1). Solve 9*v - 15 = r*h + 4*v, 4*h + 4*v - 28 = 0 for h.
2
Let a = -47 + -49. Let r = a + 120. Solve 2*c - 7 + 35 = -5*z, 2*z = -4*c - r for c.
-4
Suppose 35 = -h + 2*h. Suppose -4*n + h*z = 39*z - 20, 0 = z. Solve g - n*l - 6 = -21, -g + 15 = 5*l for g.
0
Let o(d) = 2*d**2 + 7*d + 14. Let n be o(-6). Let v = -43 + n. Suppose 0 = 3*g - 5 - v. Solve -k - a + 1 = 0, k + 0*a = -g*a - 2 for k.
4
Suppose w - 12*w + 119 - 31 = 0. Solve y + 407 = -3*a + 409, -3*a + 5*y + w = 0 for a.
1
Let n = -1140 + 1143. Solve 5*q = -5*y - 5, -3*y + 29 = -n*q + 8 for y.
3
Let p be (-76 + 0/4)*((-78)/24)/13. Solve g = -p*q + 24*q - 5, 3*q - 3*g - 3 = 0 for q.
1
Suppose 5*q = 23 + 2. Suppose 2*t = 100*t - 392. Suppose -q*w + 54 = t*w. Solve -f = 2*f - 5*m + w, -8 = 4*f - 2*m for f.
-2
Let q(x) be the first derivative of -x**4/2 - 10*x**3/3 - x**2/2 - 3*x + 153. Let s be q(-5). Solve -o - s = 0, 0 - 2 = 3*m + o for m.
0
Let f = -1 - -5. Suppose z - 2*k = 10, -f*z + 5*k - 2*k + 20 = 0. Let l(h) = -2296*h + 4594. Let d be l(2). Solve -z*t = 8, -d*o - 19 = -o + 5*t for o.
1
Suppose -80 = -2*p + 2*j, -p + 3*j + 0*j + 32 = 0. Let a be 578/(-14) - (-2)/7. Let r = p + a. Solve 5*q - 35 = 5*d, -4 = 2*q - r*d - 20 for q.
5
Let x be (-1)/3 - 1400/(-60). Suppose 4*s - x - 33 = -4*r, -5*r + 62 = s. Suppose 15*q = r*q + 15. Solve 2*w - 5*w - 26 = 5*g, -22 = q*g + w for g.
-4
Suppose 2*o + 134 = -3*b, -27 = 4*b - 2*o + 161. Let v = b + 48. Suppose -v*y + 8*y - 66 = 0. Solve 5*d + 3*r = y, -r + 6 = -3*r for d.
4
Suppose -2*j - 5*p + 6*p - 7 = 0, 0 = -5*j - p. Let i be (-2 - (-1 + j))/((-23)/23). Solve -2*s + 3*s + 5*h + 15 = i, -15 = 3*s + 5*h for s.
0
Let k(j) = 2464*j - 14784. Let y be k(6). Solve -v = -6*x + 4*x + 6, y = 3*v + 2*x - 14 for v.
2
Suppose 4*i = 5*n - 318, 3*n + 2*i + 2*i = 210. Suppose -5*l + 14 = -n. Let v = 16 - l. Solve 5*a = 4*g + 3*a - 10, 3*g + a = v for g.
1
Let j be 1 + (0 + 0 - 1). Suppose 5*k - 22 = -4*s, -s - 14*k = -10*k - 11. Solve -s*x - 32 = x + 4*n, j = -2*x + 2*n - 4 for x.
-5
Suppose r + 61 = -3*y, 10*y + 84 = 6*y - 4*r. Let j be 5 + 65/y + 2/8. Solve x + 8 = 5*b - 0*x, -j*b - 4*x + 12 = 0 for b.
2
Suppose -3*h - 58 = -2*x, 181*h - 12 = 184*h. Solve 5*q - x = -b + 2*b, 4*b - 18 = -2*q for q.
5
Let w be (532/20 - 3) + 12/30. Suppose -4*z - w = -j, 2*j - 15 = z - 2. Solve v + 2*v = -j*x, -2*x + 6 = 3*v for v.
4
Let v be (-84)/(-33) + (-12)/22. Suppose 2*r + i - 2 = 3*i, -5*r - v*i = -40. Solve -3*p + 2*p - 6 = -3*c, 0 = 2*p + r for c.
1
Suppose -18*v + 38 = -20 - 32. Solve c + v*j + 13 = 0, -j - 30 + 27 = 0 for c.
2
Let f be -6 + 93/7 + 34/(-119). Solve 2*n = 4*c + 18, 7*n - c - 31 = -f for n.
3
Let i = -32 - -32. Let v(u) = -2*u**3 - 106*u**2 + u + 57. Let o be v(-53). Solve -w + o = a + 1, -w - 5*a + 11 = i for w.
1
Suppose -2206 + 214 = -157*v + 206. Solve -3 = 2*y - 5*p, -23 + v = -4*y - 5*p for y.
1
Suppose 2*r + z - 9 = 3*r, 4*r = -4*z - 12. Let u be 1/(6/34) + r/9. Solve 0 = -3*v - y + 9, -4*v - v + 15 = -u*y for v.
3
Suppose -3*v - 2 = -4*v, 3*d + 4*v = 125. Suppose 24*q - 9 - d = 0. Solve 5*z + 4*r = -5, -z - q + 1 = 4*r for z.
-1
Suppose 0 = -2*a + 10 + 22. Suppose 11*g + 5 = a. Solve 4*j - 4*y = -16, 0*y = 4*j - y + g for j.
1
Suppose 428*q = 1131 + 1009. Solve -30 = -5*x - q*g, -6*g = -3*g - 12 for x.
2
Suppose -12*o + 99 = -o. Suppose o*y = -26 + 44. Solve -5*h - y*c = -33, 0 = -h - 4*c - 12 + 33 for h.
5
Suppose 1117 - 1032 + 1553 = 63*o. Let j be 1/((-1)/(-10)*2). Solve -o = j*u - 4*z, -2*u - u + 2 = 2*z for u.
-2
Let h = 1 - 25. Let u be (1*(-2)/4)/(2/h). Suppose 3*m - 10 = -a, 3*a = -a + 5*m + u. Solve 0*q - 5*c - 15 = -5*q, 0 = -q - a*c - 7 for q.
1
Let c(g) = 2*g - 6. Let u be c(4). Suppose 0 = -5*d - 5, s + d - 51 = 3*d. Let z be (s/7 - 6) + 2. Solve 2*y - z*q - 4 = -1, -2*q + u = 0 for y.
3
Suppose l + 4*u + 729 = 0, 20*u - 18*u - 1438 = 2*l. Let r = 727 + l. Solve -v - 3 = 0, -3*y = -r*y - 4*v - 18 for y.
-2
Let h be (-11)/(-6) + -2 - (-682)/132. Solve -h*x = -6*x - 5*p + 25, 5*x - 5 = -p for x.
0
Suppose -x = 4*n - 117, -4*x - 4*n = -544 + 172. Solve -f = -3*i - 5, 3*i + 10 = x*f - 89*f for f.
-1
Let f(m) = m**3 - 6*m**2 + 7*m - 6. Let n be f(5). Let s = 16 + -16. Let u = s + 5. Solve -3*z - 10 = n*v, v + 7 = u*z - 8*z for z.
-2
Let q = 7376 - 7373. Suppose 0*m + 4*m = 0. Suppose m*z = -2*z. Solve t = -0*t + q*i - 8, z = 5*t - 2*i - 12 for t.
4
Suppose -2*k - 3*x - 6 = 0, 2*k - 5*k = 2*x + 4. Solve -4*b + u + 16 = k, 0*b + 20 = 5*b - 4*u for b.
4
Suppose 24*v = -127*v + 302. Solve 0 = v*s - 3*o - 8, 4 = s - 10*o + 8*o for s.
4
Let t = 94 - 84. Suppose 166 - 126 = t*a. Solve -4*u + 2*c + 8 = 0, -a*u - 3*c = -8*c - 8 for u.
2
Let x = 54 - -37. Let y = -52 + x. Let l = -35 + y. Solve 5*d - 2 - 4 = 3*a, 2 = -l*d - a for d.
0
Let u be (-1071)/(-714) + 195/2 + -2. Solve d - u + 86 = -3*v, -5*d + 13 = v for d.
2
Let r = -3712 - -3715. Let i be 10*(3 + (-10)/4). Solve 2*n + c + 2*c = 14, -i*c = r*n - 22 for n.
4
Let m(x) = -22*x**3 - 308*x**2 - x + 12. Let y be m(-14). Let v = 26 - 4. Solve -2 = -5*w - v, -5*o - y = 4*w for o.
-2
Suppose -411*p + 2380 = -406*p. Let m be 68/p + 1/(-7). Solve 3*s - 4*z = -m + 20, 3*z = -4*s + 10 for s.
4
Let u = 840 + -718. Suppose 2*i - u + 118 = 0. Solve 0 = 3*s + 2*z - 6 - i, 4*z = -2*s for s.
4
Suppose -11*i + 10*i + 32*i - 341 = 0. Solve 3*k = -15, -4*u - k - 14 = i for u.
-5
Let t be (-1)/(-7) + 1971/511. Solve -5*p - 3*b + t*b - 15 = 0, -p - 22 = -4*b for p.
-2
Let q = -8751 + 8753. Solve 24 = 4*k + q*g, -4*g = 4*k - 37 + 5 for k.
4
Let u(z) = z**3 - 6*z**2 + 65*z - 261. Let o be u(5). Solve -4*f - k = -o + 30, -2*f - k = -5 for f.
2
Suppose -415*c = 43*c - 1832. Solve -5*y = -4*z + 21 - 12, 0 = -c*y - 4 for z.
1
Let z = -153 + 153. Suppose 0 = -0*g - g - h + 6, -3*g - 5*h + 14 = z. Solve -2*f = -5*u + g, 4*u - f - 4 = -0 for u.
0
Suppose -6*y = -3*y + 18. Let f = y + -20. Let t = f - -29. Solve -i - 1 = 4*o - t, -2*o = 0 for i.
2
Suppose -o - 220 = -0*o + m, -4*o = 5*m + 876. Let y = o + 228. Solve z + 0*z - y*t + 19 = 0, 4*z - 9 = -t for z.
1
Let r be 297/(-22)*4/6 - -35. Solve -b + r*o - 20*o = -32, -2*b - 2*o - 20 = 0 for b.
-4
Let o = 15919 + -15914. Solve 111 = o*t - 3*r + 119, -3*t = -3*r + 6 for t.
-1
Let r = -10203 - -10223. Solve 21 = -a + x + r, 2*x = -2*a - 10 for a.
-3
Let w(y) = -4*y - 25. Let v = -83 - -76. Let n be w(v). Suppose -96 = -4*q - n*s, -4*q + 0*s + 96 = s. Solve -3*l - 2*j + 13 = 0, 4*l + j = -3*j + q for l.
1
Let o be 78/(-4)*(-10)/(-15). Let j = 10 - o. Suppose j - 13 = 5*g. Solve -3*w = 4*s + 19, -3*w - g*s = s + 18 for w.
-5
Let y = -13887 + 13925. Solve -y*i = -43*i - 4*o + 8, -3*i - o = -9 for i.
4
Let k = 96 + -154. Let t be 7/3 - 2 - (-160)/(-3). Let y = t - k. Solve -5*v + 5*x + 45 - 10 = 0, y*x - 5 = -5*v for v.
4
Let m(p) = 5*p**2 + 36*p - 21. Let s be m(-8). Let z(i) = i**3 + 4*i**2 - 3*i - 6. Let b be z(-4). Let h = s - b. Solve 2*u + 2*j = h*j - 13, 0 = 5*u - j for u.
1
Let u(y) = 3*y**2 - 24*y + 39. Let g be u(2). Solve -g*a - 5 = 4*z, -19 = -5*z - a - 39 for z.
-5
Let q(a) = -a**2 + 13*a + 12. Let i(f) = -2*f + 1. Let c(s) = -3*i(s) - q(s). Let l be c(9). Solve -3*m + 5*d = m - 11, -l*m - d + 13 = 0 for m.
4
Suppose 0*y = 4*y - 4. Let u be 110/(-11) + (y - -1). Let c(a) = -4*a - 29. Let l be c(u). Solve l*m = 5*d, -m + 5*d + 7 = -3 for m.
-5
Suppose 9*h = -15 + 33. Suppose -4*r - 6 = -7*g, 0 = 7*g - 5*g - 3*r + h. Solve -4*x + u + 16 = 2*u, g*x - u - 2 = 0 for x.
3
Let w(x) = -62*x + 5409. Let n be w(87). Solve -4*p + 0*p + 5*g + 25 = 0, n = -4*p - 3*g for p.
0
Let k(y) = y + 12. Let i = -18 + 27. Let f be k(i). Suppose -14*n + f*n - 21 = 0. Solve -24 = 5*d - 2*x + x, -n*d + 5*x = 32 for d.
-4
Suppose 30*z - 26*z = 4*u + 44, 3 = -3*z - u. Solve -m
|
{
"pile_set_name": "DM Mathematics"
}
|
te n(t(c)).
4*c**4
Let x(a) = -2*a**2. Suppose -4*r + 97 = -39. Let p = r + -27. Let i(k) = -p*k**2 - 17*k**2 - k**2. Give i(x(s)).
-100*s**4
Let w(a) = a + 1. Let r be w(0). Let m(o) = -1 + 4*o + 2 - r. Let u(x) be the third derivative of -x**4/6 - 27*x**2. Determine u(m(q)).
-16*q
Let r(a) = 11*a. Let d(c) be the first derivative of -c**4/6 - 3*c**2 + 29. Let m(g) be the second derivative of d(g). What is r(m(q))?
-44*q
Let z(f) be the third derivative of -7*f**4/24 - f**2 + 86*f. Let o(b) = -17*b**2. Give z(o(t)).
119*t**2
Let h(z) = 300*z**2 - 547*z**2 - 2*z + 300*z**2. Let n(r) = -2*r. What is h(n(p))?
212*p**2 + 4*p
Let q(m) = 14*m**2. Let b(o) = 4*o + 2. Let g(f) be the third derivative of f**4/24 + f**3/6 + 17*f**2. Let d(p) = -b(p) + 2*g(p). Calculate d(q(z)).
-28*z**2
Let d(s) = 8*s**2. Let h(o) = -2*o + 4. Let i be h(0). Let j(r) = r - 3*r + i*r. What is d(j(n))?
32*n**2
Let q(r) be the first derivative of 59*r**3/3 - 2*r - 498. Let y(d) = 3*d**2. Determine q(y(g)).
531*g**4 - 2
Let u(m) = 13*m - 3. Let v(h) = -11*h**2 + 40. Give v(u(c)).
-1859*c**2 + 858*c - 59
Let v(r) = 2*r. Let t(j) = 2397*j**2 - 11*j. Give v(t(z)).
4794*z**2 - 22*z
Let h(o) = o. Let d(w) = -w + 5. Let p(i) = 36*i + 540. Let q(c) = -108*d(c) + p(c). Give h(q(m)).
144*m
Let a(q) = -167842*q**2. Let n(o) = -o**2. Calculate n(a(g)).
-28170936964*g**4
Let o(y) = 2*y**2. Let q(h) = 199*h**2 + 12*h + 3. Let i(a) = -26866*a**2 - 1616*a - 404. Let x(c) = 3*i(c) + 404*q(c). Give x(o(g)).
-808*g**4
Let i(d) be the second derivative of -d**3/6 - 569*d. Let z(w) = -5*w + 2*w + 7*w. What is z(i(u))?
-4*u
Let m(y) = -24*y**2 + y + 50. Let j(l) = l**2. Determine m(j(x)).
-24*x**4 + x**2 + 50
Let r(s) = 177553 - 2*s - 177553. Let w(j) = -6*j. Determine w(r(d)).
12*d
Let k(c) = 22*c**2 + 2. Let b(o) = 734*o**2. Determine k(b(u)).
11852632*u**4 + 2
Let f(t) = -75*t. Let r(n) be the first derivative of n**3 + 298. Determine r(f(k)).
16875*k**2
Let q(y) = 3*y**2 + 5. Let z(m) = m**2 + 2. Let c(o) = -2*o + 10. Let w be c(6). Let p(d) = w*q(d) + 5*z(d). Let x(s) = -9*s + 3. Calculate p(x(h)).
-81*h**2 + 54*h - 9
Let l(g) = -g**2. Let a(r) = -171 + 88 - 40*r - 212*r + 82. Give a(l(x)).
252*x**2 - 1
Let p be ((-2)/6)/(-1) + 32/12. Let f(s) be the second derivative of 0*s**2 - s - 1/3*s**p + 0. Let i(c) = -4*c. Give f(i(g)).
8*g
Let v(r) = 10*r - 24. Let z(s) = -60*s**2. Give z(v(n)).
-6000*n**2 + 28800*n - 34560
Let y(a) be the first derivative of -a**2/2 + 486. Let v(n) = 91*n + 4. Calculate y(v(m)).
-91*m - 4
Let n(j) = 13*j. Let x(v) be the second derivative of -v**6/360 + 3*v**4/2 - 7*v. Let f(w) be the third derivative of x(w). Give n(f(l)).
-26*l
Let h(k) = 2*k. Let v(u) be the first derivative of -2*u**3/3 + 16*u**2 - 251. Calculate v(h(n)).
-8*n**2 + 64*n
Suppose 0 = 7*p + 7*p - 14. Let j(t) = 3*t + p - 3 + 2. Let x(y) = -2*y**2. Give x(j(c)).
-18*c**2
Let p(i) = 266*i + 1. Let t(y) = -y**2 - 22. Give p(t(o)).
-266*o**2 - 5851
Let r(q) = -4*q**2 + 10*q + 10. Let y(o) = o**2 - 3*o - 3. Suppose 0 = 8*g - 15*g - 70. Let k(i) = g*y(i) - 3*r(i). Let s(b) = -6*b. Give k(s(u)).
72*u**2
Let r(n) = -2*n. Let h(l) = l. Let o(p) = -4*h(p) - r(p). Let d be ((-6)/7)/(-3)*7. Let v(w) = 0*w**2 - 4*w**2 + w**d. What is o(v(g))?
6*g**2
Let m(j) = 331*j**2. Let f(p) = 77*p. Determine m(f(z)).
1962499*z**2
Let d(i) = 5*i**2. Let b(s) = 0 - 903*s**2 + 0 + 196*s**2 + 457*s**2. Calculate b(d(j)).
-6250*j**4
Let l(d) = 9*d + 134. Let i(n) = 13*n. Give l(i(y)).
117*y + 134
Let s(t) = 4*t. Let k(r) be the second derivative of -r**4/6 - r**3/2 + 151*r. Determine s(k(g)).
-8*g**2 - 12*g
Let j(l) = l. Suppose 5*i + 2*q = -3*q + 10, 4 = 2*i - 3*q. Suppose -4 = -v + k, -v - i*k + 12 = -7*k. Let z(o) = -2*o**v + 8*o**2 + 2 - 2. Determine z(j(s)).
6*s**2
Let n = 37 + -33. Let p(q) = -q - 6. Let b(v) = -8. Let a(l) = n*p(l) - 3*b(l). Let x(d) = -7*d**2. Calculate a(x(u)).
28*u**2
Let y(p) = -4*p**2. Let u(n) be the third derivative of 49*n**5/60 - 2*n**2 + 6. Give u(y(i)).
784*i**4
Let j(i) = -5*i - 9*i - 12*i - 12*i + 31*i. Let a(v) = 4*v**2 + 1. Determine j(a(o)).
-28*o**2 - 7
Let n(s) = 5*s - 2. Let m(g) = -24*g + 9. Let t(j) = -4*m(j) - 18*n(j). Let h(d) = d + 5. Calculate t(h(y)).
6*y + 30
Let y(w) = 3*w**2. Let g(x) = 1716*x**2 + x. Give g(y(h)).
15444*h**4 + 3*h**2
Let y(o) = -92*o. Let s(i) = -4*i + 7*i + i - 3*i. Calculate y(s(j)).
-92*j
Let p(o) = 18*o**2. Let w(x) = 2*x - 8. Let y(z) = z - 3. Let b(q) = q + 2. Let f be b(1). Let d(s) = f*w(s) - 8*y(s). Calculate p(d(u)).
72*u**2
Let x(g) = 17*g. Suppose -5*v + 2*v = -9. Let q(h) = 26*h**2 - 16*h - 16. Let n(w) = -5*w**2 + 3*w + 3. Let l(t) = v*q(t) + 16*n(t). Determine l(x(o)).
-578*o**2
Let k(s) = 2*s**2. Suppose -21 = -0*d - 3*d + 3*f, -d = -5*f + 1. Let p(t) = -13*t - d*t + 19*t. Give p(k(g)).
-6*g**2
Let k(n) = 92*n. Let i(r) = -948*r**2. Give i(k(d)).
-8023872*d**2
Let b(n) be the second derivative of -11*n**3/6 - 127*n. Let y(w) = -12*w. What is b(y(s))?
132*s
Let i(v) = -8*v + 20. Let y(a) = 10*a - 24. Let w(d) = -6*i(d) - 5*y(d). Let s(n) = 175*n**2. Give s(w(c)).
700*c**2
Let k(h) = -30*h**2. Let t(n) = -86*n + 12*n**2 + 200*n - 114*n. Determine k(t(b)).
-4320*b**4
Suppose -5*s = j - 3*j - 20, -3*j - 19 = -2*s. Let b(t) = s*t - 5*t + 0*t. Let o(v) = -10*v**2. Give b(o(z)).
30*z**2
Let x(j) = -2*j**2. Let o = 11 - 4. Let b(p) = -468 - 469 - o*p + 937. What is x(b(y))?
-98*y**2
Let r(g) = -8*g**2. Let z(f) = 3 - 9*f + 6 + 7*f. Calculate r(z(m)).
-32*m**2 + 288*m - 648
Let g(p) = -656*p**2 - 6*p. Let c(v) = -10*v. Calculate c(g(w)).
6560*w**2 + 60*w
Let q(w) = w. Let k(p) = 37*p**2 + 8*p - 12. Let a(s) = -73*s**2 - 14*s + 22. Let x(u) = -4*a(u) - 7*k(u). Give x(q(j)).
33*j**2 - 4
Let y(z) be the first derivative of 8*z**3/3 - 1. Let j(g) be the second derivative of 0*g**2 - g + 0*g**3 - 1/12*g**4 - 19. Calculate y(j(b)).
8*b**4
Let z(s) = 2*s**2 + 123087. Let v(d) = -12*d. Calculate v(z(l)).
-24*l**2 - 1477044
Let n(s) = s. Let m(g) be the second derivative of 23*g**3/6 + 5*g**2/2 + 60*g + 1. Determine n(m(l)).
23*l + 5
Let w(q) = -7*q. Let b(y) = -4*y. Let x = -7 + 12. Let d(l) = x*b(l) - 3*w(l). Let u(z) = 139*z + 143*z - 281*z. Calculate u(d(c)).
c
Let d = -1129 - -1138. Let g(s) be the second derivative of 0*s**2 + 0 - d*s + 0*s**3 - 1/12*s**4. Let o(m) = -2*m. What is g(o(a))?
-4*a**2
Let a(x) = 2*x**2 + 2041 - 1020 - 1023. Let m(v) = 2*v. Determine a(m(k)).
8*k**2 - 2
Let m(a) = -347*a**2. Let d(o) = 7*o**2. Let u(j) = -36*j**2. Let g(x) = 21*d(x) + 4*u(x). Give m(g(t)).
-3123*t**4
Let o(c) = 2*c + 3. Let h(k) = 4*k + 7. Let d(m) = 3*h(m) - 7*o(m). Let l(x) be the second derivative of 5*x**4/12 + 82*x. Calculate d(l(u)).
-10*u**2
Let h(p) = -20*p**2. Suppose 8*f = 3*f - 2*g + 2, 0 = -3*f + 2*g + 14. Suppose -2 = 2*k - 6. Let i(n) = 5 + f*n**k - 3 - 2. Determine i(h(v)).
800*v**4
Let m(j) be the third derivative of j**4/8 + 57*j**2. Let n(i) be the second derivative of -i + 0*i**3 - 1/6*i**4 + 0*i**2 + 0. Determine n(m(f)).
-18*f**2
Let n(y) = -4*y. Let i(d) = -12384*d**2. What is n(i(o))?
49536*o**2
Let s(a) = 2 - 126*a + 128*a - 1 - 1. Let f(w) = 195*w**2. Determine f(s(p)).
780*p**2
Let w(v) = -9320*v. Let i(k) = -36*k**2. What is i(w(u))?
-3127046400*u**2
Let d be (-20)/6*(-3)/2. Let c be 8/(-10)*d/(-2). Let i(f) = 3*f**2 - 2*f**c - 2*f**2 - 3*f**2. Let k(w) = -2*w**2. Calculate i(k(l)).
-16*l**4
Let z be ((7 - 2) + -1)*2. Let u(w) = -15 - z*w + 27 - 12. Let v(t) = 5*t + 4*t - 6*t. Give u(v(x)).
-24*x
Let a(h) = h**2 + h. Let y = -49 + 44. Let p(v) = 6*v**2 + 5*v. Let j(z) = y*a(z) + p(z). Let c(l) = -2*l + 10. Calculate c(j(b)).
-2*b**2 + 10
Let g(l) = -2*l**2 - 16*l - 3. Let i(b) = -13*b. Calculate g(i(p)).
-338*p**2 + 208*p - 3
Let t(k) = -28735*k. Let j(g) = -18*g. Calculate j(t(y)).
517230*y
Suppose -121 = -5*g - 2*u, 2*g + 3*g + 3*u = 124. Let h(j) = 23*j - 6*j**2 - g*j. Let r(w) = 3*w**2. Give h(r(n)).
-54*n**4
Let w(s) = 2*s - 1. Let t(u) = -u - 900 + 900. What is t(w(g))?
-2*g + 1
Let c(i) = 2*i. Let n(r) be the second derivative of 12*r + 0*r**3 - 11/6*r**4 + 0 + 0*r**2. Determine c(n(j)).
-44*j**2
Let f(l) = 1. Let c(a) = -a + 6. Let g(x) = -c(x) + 6*f(x). Let v(n) be the third derivative of 2*n**5/15 - 753*n**2. What
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{
"pile_set_name": "DM Mathematics"
}
|
/sqrt(3))*2).
8*sqrt(17)
Simplify 3 + 5*(2 + 1*(sqrt(704) + -4))**2.
-160*sqrt(11) + 3543
Simplify (sqrt(204)/((sqrt(72)*-1)/sqrt(6)))**2 + sqrt(153)/(sqrt(9) + (sqrt(729) - (sqrt(729) - sqrt(729)*1))).
sqrt(17)/10 + 17
Simplify (sqrt(1539) - (sqrt(1539) + sqrt(1539)*-4 + -2))**2 + 4*(sqrt(2299) + -2)**2.
-32*sqrt(19) + 33840
Simplify (sqrt(416)/(sqrt(8) + sqrt(32)/sqrt(4)) + sqrt(104)/(-1*sqrt(2)))/(-6*(sqrt(100)*2 - sqrt(4) - sqrt(4))).
sqrt(13)/96
Simplify ((sqrt(350) - (2*sqrt(350) + sqrt(350)) - sqrt(350))/sqrt(10))/(sqrt(10)/sqrt(50)).
-15*sqrt(7)
Simplify (-4*(1*sqrt(187) - sqrt(187))*4)/((sqrt(33) - (sqrt(33) - sqrt(99)/sqrt(3)*1))/sqrt(3)).
0
Simplify (sqrt(5445)*2)/(-1*sqrt(324)) - (sqrt(1815) - (sqrt(1815) + -2*sqrt(1815) - sqrt(1815)))/(sqrt(27)*1).
-44*sqrt(5)/3
Simplify -5 + 3*(4*(sqrt(320) - (-2 + sqrt(320))) + 2)**2 + -5.
290
Simplify sqrt(66)/(sqrt(6) + (1*sqrt(726) - sqrt(6))) - (-1*sqrt(1584)*1)**2.
-1584 + sqrt(11)/11
Simplify 2*((sqrt(5) + sqrt(405))*5 + ((sqrt(60) - (sqrt(60) - sqrt(60)*-2)) + sqrt(60))/sqrt(12) + sqrt(5)).
100*sqrt(5)
Simplify ((sqrt(117) - ((sqrt(117) - 3*sqrt(117))*4 + sqrt(117)))*-4)/(sqrt(45)/(5*(sqrt(5) - sqrt(180)))).
800*sqrt(13)
Simplify (sqrt(180)/(sqrt(40)/sqrt(4)))/(sqrt(9) + sqrt(63)/sqrt(63) + sqrt(9) + sqrt(9) - sqrt(9))*6.
18*sqrt(2)/7
Simplify (sqrt(10) - sqrt(60)/(sqrt(24)/sqrt(4)) - -5*sqrt(10)*2)/((sqrt(35) + sqrt(4235) + sqrt(4235)*3)/sqrt(7)).
2*sqrt(2)/9
Simplify (-3 + ((sqrt(143) + sqrt(143)*2)*-6)/sqrt(11))*3.
-54*sqrt(13) - 9
Simplify (sqrt(152) - -5*sqrt(152)*1 - sqrt(152)*-2*-5)/(((-2*sqrt(72))/sqrt(3))/sqrt(3)).
2*sqrt(19)
Simplify (2 + sqrt(6912)*2 + sqrt(6912) + sqrt(6912) - 2*(-1 + sqrt(9)/sqrt(3))*-3)**2.
-1584*sqrt(3) + 117628
Simplify -2*((-6*(sqrt(88)*1 - sqrt(88)) - sqrt(88))/(2*sqrt(8)*2)*-3 + 2).
-3*sqrt(11)/2 - 4
Simplify ((-5 + (sqrt(171) - (sqrt(171) + -1)))**2 - (0 + -3 + sqrt(171))**2) + 2.
-162 + 18*sqrt(19)
Simplify (-1*sqrt(1408)*-3)/(-4*sqrt(99)*2).
-sqrt(2)
Simplify (-5 + -1 + -3 + (-2 + sqrt(80) - sqrt(80)) + -4 + (-1*sqrt(80) + sqrt(80))*-1)**2.
225
Simplify (4*(sqrt(56)/sqrt(2))/sqrt(4) + -1 - (sqrt(7) + -2 + -2*sqrt(7))*5*-4)**2.
1312*sqrt(7) + 3473
Simplify -1*(sqrt(98) + -1) + 1*(sqrt(98)*1)**2 - ((5*-1*sqrt(98) - sqrt(98) - sqrt(98))**2 - ((1 + sqrt(98) + -1)**2 - sqrt(98))).
-4605 - 14*sqrt(2)
Simplify -3 + ((3*sqrt(1700)*-1)**2 - sqrt(1700)) + (2 + (sqrt(1700) - (sqrt(1700) + (sqrt(1700) + 1 - sqrt(1700)) + sqrt(1700))) - sqrt(1700))**2.
-50*sqrt(17) + 22098
Simplify -2*((sqrt(231) + (sqrt(231) - (sqrt(231) + 3*(sqrt(231) + 1*sqrt(231)))) + sqrt(231))/sqrt(11))/(-1*((sqrt(3) + sqrt(12))*-4 + sqrt(3) + sqrt(3))).
4*sqrt(7)/5
Simplify ((sqrt(176) - ((sqrt(176) - (sqrt(176) + 3 + sqrt(176) - sqrt(176))) + sqrt(176))*1) + -1*(2 + sqrt(176)) + -1)**2.
176
Simplify (sqrt(12)/(sqrt(600)*1))**2 + 5 + 4.
451/50
Simplify (4*sqrt(171) + sqrt(19) - sqrt(19))*-1 + (1 + -1 + sqrt(171))**2.
-12*sqrt(19) + 171
Simplify (sqrt(130)/(sqrt(20)/sqrt(4))*-6)/((sqrt(144) + sqrt(144)*2 + sqrt(144))/sqrt(2)).
-sqrt(13)/4
Simplify ((1*sqrt(396) + sqrt(396))*-2 + -3 - (3 + 1*(sqrt(396) - (-2 + sqrt(396)) - sqrt(396))))**2.
288*sqrt(11) + 3628
Simplify (1 + sqrt(19) + 0 + -1 - (sqrt(76) - (sqrt(76)*1*4)**2)) + 1.
-sqrt(19) + 1217
Simplify 4*(sqrt(208) + 3 + sqrt(208)) - (sqrt(26)/sqrt(2) + -3 + sqrt(13) + (sqrt(13) - (sqrt(1573) + sqrt(1573) + -2 + sqrt(1573))**2)).
-103*sqrt(13) + 14176
Simplify 0 + (2 + 1 + -6*(-3 + sqrt(1331)))**2.
-2772*sqrt(11) + 48357
Simplify -2*(4 + sqrt(98) + (sqrt(98)*1 - sqrt(98)) + sqrt(98)*-2 + -1).
-6 + 14*sqrt(2)
Simplify (-2 + (2 + sqrt(448))**2 - (-1 + -2*sqrt(448) + sqrt(448))) + 5.
40*sqrt(7) + 456
Simplify (sqrt(704) + 3 + -3*sqrt(44))**2 + 2.
12*sqrt(11) + 55
Simplify -1*(-3*(-5 + -3*(1 + -2*sqrt(700))))**2.
-227376 + 8640*sqrt(7)
Simplify 6*-1*(-5 + (sqrt(125) + (sqrt(125) + (sqrt(125) - (sqrt(125) + 1))*-5)**2 - sqrt(125))).
-870 - 300*sqrt(5)
Simplify (((sqrt(81)*3 + sqrt(81))/sqrt(3) - sqrt(27)*4*-3) + 0 + 2)**2.
192*sqrt(3) + 6916
Simplify ((2*sqrt(153)*2)/sqrt(9) + sqrt(833) + (sqrt(833) + 2 + -5)**2)*3.
-93*sqrt(17) + 2526
Simplify sqrt(171)/((sqrt(180)/sqrt(4))/sqrt(5)) - (-2 + 1*sqrt(1900))**2.
-1904 + 41*sqrt(19)
Simplify ((sqrt(11) + (sqrt(11) - (1*sqrt(11) - sqrt(11))) + -2 - (-3 + 0 + sqrt(11))) + 2)**2.
6*sqrt(11) + 20
Simplify ((sqrt(6292) + (-2*sqrt(6292) - sqrt(6292)) + (sqrt(520) - sqrt(520)*1)/sqrt(10))/(-2*sqrt(256)*-5 - sqrt(256) - sqrt(256)))**2.
1573/1024
Simplify ((sqrt(95)*-1 + sqrt(95))*3)/(1*sqrt(20)) + (((-1*-1*sqrt(152) - sqrt(152)) + sqrt(152))/(6*(-1*sqrt(8) + sqrt(8)) - sqrt(8)))**2.
19
Simplify (5*-2*sqrt(190)*6)/((-2*sqrt(90)*-2)/sqrt(9)).
-15*sqrt(19)
Simplify (-4 + sqrt(108) + sqrt(12) - (5 + sqrt(3)*-3*-1))**2.
-90*sqrt(3) + 156
Simplify (2 + ((sqrt(243) - (sqrt(243) + -2*sqrt(243) + 1)) + ((sqrt(243) - 1*sqrt(243)) + sqrt(243))*-4 + 5)**2)*-2.
-1980 + 288*sqrt(3)
Simplify ((6*(sqrt(1000) - (sqrt(1000)*-1 + sqrt(1000))))/(-6*sqrt(800)*-1))**2.
5/4
Simplify (sqrt(60)/(sqrt(35)/sqrt(7)))/(sqrt(28)/sqrt(7)*3) + 5.
sqrt(3)/3 + 5
Simplify 5 + (5 + sqrt(17) + 1 - (sqrt(136)/(sqrt(24)/sqrt(3)) + sqrt(17)) - ((1*sqrt(425))**2 - (-4 + sqrt(68)))).
-418 + sqrt(17)
Simplify (-1*(sqrt(300) + 1))**2 + (-4 + sqrt(300)*2)**2 + 1.
-140*sqrt(3) + 1518
Simplify (-4 + (2 + sqrt(2299) + 0 + -1)*-3 + 2)**2.
330*sqrt(19) + 20716
Simplify -3*1*sqrt(22)/((-1*sqrt(55))/sqrt(5))*6.
18*sqrt(2)
Simplify ((2 + 3 + sqrt(325) - -2*3*sqrt(325))**2 + 0)*6.
2100*sqrt(13) + 95700
Simplify -4 + ((sqrt(396) - ((sqrt(396) - (5 + 2 + sqrt(396))) + sqrt(396)))**2 - (sqrt(396) - 4*sqrt(396)*2)) + -2.
43 + 42*sqrt(11)
Simplify (-5*sqrt(24)*-2*2)/(sqrt(12) + (sqrt(60) + sqrt(540) + sqrt(60))/sqrt(5) - -6*sqrt(24)/sqrt(2)).
5*sqrt(2)/3
Simplify (sqrt(252)/(sqrt(63)/sqrt(9)))/(-5*sqrt(12)*1).
-sqrt(3)/5
Simplify (-4*sqrt(77)*1)/(sqrt(63)/(sqrt(9)*-1)) + -1 + -3.
-4 + 4*sqrt(11)
Simplify (sqrt(3900) + (sqrt(3900) - sqrt(3900)*-1))/(sqrt(33)/sqrt(176)) + -2.
-2 + 120*sqrt(13)
Simplify ((sqrt(24) + sqrt(864))/sqrt(12) - sqrt(32)*-6) + ((sqrt(400) - ((sqrt(400) - sqrt(400)*1) + sqrt(400)) - sqrt(16))/(sqrt(8) - sqrt(56)/sqrt(63)))**2.
9/2 + 31*sqrt(2)
Simplify (2 + sqrt(98) + -4 + 3 + -5 + 5)**2.
14*sqrt(2) + 99
Simplify -4*(sqrt(42)/sqrt(2)*-4)/(sqrt(3) - (sqrt(3) - sqrt(12)*-2)).
-4*sqrt(7)
Simplify (-2*sqrt(245) + 0 + sqrt(245) + 1)*-2*-6.
-84*sqrt(5) + 12
Simplify -1*((0 + sqrt(8)/sqrt(4) + -3)**2 + -5).
-6 + 6*sqrt(2)
Simplify 1 + (-6*((sqrt(156) + sqrt(156) + -2*sqrt(156))*-6 + sqrt(156))/((-1*sqrt(84))/sqrt(7)))**2 + -5.
464
Simplify (sqrt(190)*-2*-1)/(1*sqrt(160) + sqrt(160)).
sqrt(19)/4
Simplify (sqrt(1573) + (-1 + sqrt(1573) - sqrt(1573))*-2 + -2 + (sqrt(1573)*-2 + -2)*5 + 5)**2.
990*sqrt(13) + 127438
Simplify -5*(sqrt(27) + 1) - (5 + sqrt(363) + 1).
-26*sqrt(3) - 11
Simplify (sqrt(10) - (sqrt(50)/sqrt(5) - sqrt(10))*-5)/sqrt(5) + (-6*(sqrt(162) + 1))**2.
649*sqrt(2) + 5868
Simplify (-5 + 4*(-3 + -2*sqrt(432) + sqrt(432)))*1.
-48*sqrt(3) - 17
Simplify (-3*sqrt(480)*6)/((sqrt(726)*2 - sqrt(726)) + sqrt(864)*-2 + sqrt(6)).
6*sqrt(5)
Simplify (sqrt(102)*-1*-2 - (sqrt(102) - 2*(sqrt(102) + sqrt(102)*1 + sqrt(102))))/((sqrt(6) - (sqrt(486) - sqrt(486)*1))*-2).
-7*sqrt(17)/2
Simplify sqrt(13) + -5*sqrt(52)/sqrt(4) + (sqrt(13) + 0 + 0)**2 - (2 + 1*sqrt(13) + 4).
-5*sqrt(13) + 7
Simplify 4*(sqrt(48)*-3)**2 - (sqrt(3) + -1 + sqrt(300))**2*-6.
-132*sqrt(3) + 3912
Simplify ((sqrt(405) - -6*2*sqrt(405)) + sqrt(405) + 5*(sqrt(405) + 1) + -4 + -2 + (sqrt(405) + -2 + sqrt(405) + sqrt(405) - sqrt(405)))**2.
-1134*sqrt(5) + 178614
Simplify 1*((2*sqrt(75) - (1 + sqrt(108)))**2 - sqrt(81)/(-1*sqrt(3))).
-5*sqrt(3) + 49
Simplify (-2*sqrt(833)*1*-2 - (-2 + (sqrt(833) + sqrt(833) + sqrt(833)*2 - sqrt(833)) - (3 + sqrt(833) + 1 + sqrt(833))))**2.
252*sqrt(17) + 7533
Simplify (5 + (-2*-2*sqrt(5500))/((-1*sqrt(77)*-2)/sqrt(7)))**2.
200*sqrt(5) + 2025
Simplify 2 + -1 + sqrt(343)*-1 - ((sqrt(98) - (sqrt(98) + (sqrt(98) - 1*sqrt(98))))/sqrt(7))/(sqrt(128)*-2).
-7*sqrt(7) + 1
Simplify (-2 + sqrt(242) + -4 - 1*(2*sqrt(242) - sqrt(242)) - (-5*(sqrt(242) + sqrt(242)*-1 - sqrt(242)) + sqrt(242) + ((-1 + sqrt(242))*-3 - sqrt(242))))**2.
396*sqrt(2) + 1049
Simplify ((sq
|
{
"pile_set_name": "DM Mathematics"
}
|
d - n = 3*d. Which is the biggest value? (a) j (b) d (c) 5
c
Let u = 17.71 - 17.71. Which is the third smallest value? (a) u (b) 9 (c) 26
c
Let h = 0 + -19. Let t = h + 23. Which is the smallest value? (a) t (b) -4 (c) 0.3
b
Let v be (-52)/104 + (-38)/(-12) + -2. What is the third biggest value in 1, -1, v, -6?
-1
Let d = 702 + -703. What is the third smallest value in 0.2, 9, d, 2/9?
2/9
Let z = -94.125 - -94. Let u = 0.095 + z. Which is the smallest value? (a) u (b) 3/8 (c) -0.2
c
Let w be (6/51)/1 + 21/(-34). Let r = 533/28 + -75/4. What is the smallest value in 0, r, w, -0.2?
w
Let o be (-58)/44 + (-5)/(-10). Let q = 47/44 + o. What is the third smallest value in q, 5, 3?
5
Suppose -2*w - 16 = -3*h, 4*h - 9 = -4*w - 1. Let r be (-4)/1*1 - (-143)/33. Let l = 0.3 + -0.2. Which is the smallest value? (a) h (b) l (c) r
b
Let c = -397 - -397.037. What is the smallest value in 0.1, -1/9, c?
-1/9
Let n be 826/266 - (-3 + (-118)/(-38)). Let m = -0.4 - 0. Let d = 0.5 + m. What is the third biggest value in 1, n, d?
d
Suppose -3*d - 20 = 2*d. Let u = -2/9 + 8/117. What is the second biggest value in d, 1/5, u?
u
Let c = 0.059 - -1.941. What is the second biggest value in -0.15, c, -3, -2/9?
-0.15
Let f = 40 - 57.6. Let h = f + 18. What is the fourth biggest value in -5, -0.1, 6, h?
-5
Let b = -0.8 + 1.1. Let y = 0.3 - b. Let d = 1 + y. What is the third smallest value in -0.2, d, 1/6?
d
Let i be 2/10*2/(32/(-20)). Let n be (-5 + 4)/((-14)/(-4)). What is the smallest value in 3/4, i, n, 2/7?
n
Let y(l) = 25*l - 86. Let q be y(3). Which is the third biggest value? (a) 0 (b) 2 (c) q
c
Let x = 58 - 53.2. Let o = -0.8 + x. Which is the biggest value? (a) 2/13 (b) o (c) -0.4
b
Let c be ((-8)/10)/(2/(-5)). Let v = -285 + 285. What is the second biggest value in c, v, 1/5?
1/5
Suppose -3*m + 5*m - 6 = 3*h, 5*m + 3*h + 27 = 0. Let y = -0.7 - -0.5. Which is the second biggest value? (a) -2/13 (b) y (c) m
b
Let g = 4812/29 + -166. Let w = g - -64/87. What is the second biggest value in 2, -7, w?
w
Let w = 342 + -198. Let y = w - 144.01. What is the biggest value in -1/4, -0.2, -2/23, y?
y
Suppose 0 = 2*h + 10, 0 = n + 5*h + 8 + 6. Suppose -n*c + 6*c - 15 = 0. What is the biggest value in 3/7, 1, 2/7, c?
1
Suppose 2*f - f - 4 = 0. Let x = -3 + f. Let k = 0.2385 + 0.2615. What is the second biggest value in 4, x, k?
x
Let y = 18/37 + -73/74. Suppose 2*d = 12 + 2. Which is the smallest value? (a) y (b) 0 (c) d
a
Let r = -1.82 - -1.12. Which is the second biggest value? (a) -1 (b) 3 (c) -1/8 (d) r
c
Let f = 0.15 - -2.85. Let b = 0 - -2. Let d = 16.72 + -16.76. What is the second biggest value in d, b, f?
b
Let c be 0/(-11) - 6/3*6. What is the second smallest value in -3, 2, c, -4/9?
-3
Let g = -264.9 + 264.4. Which is the biggest value? (a) -5 (b) -0.4 (c) 0.009 (d) g
c
Let r = -773 - -776.064. Let z = r - 0.064. What is the smallest value in z, -2, -6/5?
-2
Let y be 463/(-6) - -1 - (2 + -2). Let r = -76 - y. Let q = -1 + 3. Which is the biggest value? (a) q (b) r (c) -6
a
Let p = -18.4 - -20.2. What is the second biggest value in -0.1, p, 2?
p
Let x = 63 + -99. Let d = x + 32. What is the second biggest value in d, 3/2, -2, -5?
-2
Let j = -26.1 - -25.1. Which is the third smallest value? (a) 3 (b) -1/8 (c) -1/7 (d) j
b
Let y = 0.235 - -1.785. Let j = y - 0.02. Let h = -1.96 + j. What is the smallest value in h, 1, -0.4?
-0.4
Let i be 46/11 + (-4)/22. Let s = -44 + 41. Which is the second smallest value? (a) s (b) -6 (c) i
a
Let v = -0.9535 - 0.0465. Let j(q) = -q**2 + 3*q + 5. Let u be j(5). What is the fourth smallest value in u, -1/9, v, -3?
-1/9
Let s = 3.7 + -0.3. Let d = s + -3.5. Which is the third smallest value? (a) d (b) -0.5 (c) 1
c
Let d = 0.43 - -0.17. Which is the third smallest value? (a) -4/3 (b) 2 (c) d
b
Let d = -408.04 - -408. Which is the biggest value? (a) -15 (b) -5 (c) d
c
Let t = 231 + -241. Which is the second biggest value? (a) t (b) 4 (c) -4 (d) -0.5
d
Let t = -1.3 - 0.5. Let x = 1.2 - t. Suppose 2 - 7 = -p. What is the second biggest value in x, 1/4, p?
x
Let j = -0.01 + -0.29. Let g = -546 - -545.9. Which is the smallest value? (a) -1/3 (b) g (c) j
a
Let r = -0.02 - 0.48. Suppose -2*d - 25 = 35. Let h be 12/63*(-35)/d. What is the third biggest value in h, r, -1/4?
r
Let d be (-3240)/(-33) - (-4)/(-22). Let j be ((-62)/30)/(d/35). Let p = -1/6 - j. Which is the third smallest value? (a) 0 (b) p (c) -0.1
b
Let p = -312.29 + 312. What is the biggest value in 1, 5, 0.1, p?
5
Let a = -1.36 + 61.36. Let g = a + -60. What is the third smallest value in -3, g, 18?
18
Let b = 13.5 - 45.5. What is the biggest value in 3/4, b, -11?
3/4
Let n = -7 + 7.005. Let y = n + 1.995. What is the biggest value in -0.9, -0.5, -4, y?
y
Let j = -0.09 - -19.09. Let v = -17 + j. Suppose -r - 30 = -7*r. Which is the third smallest value? (a) r (b) v (c) -0.1
a
Let b = -1073/2 + 526. Let h = b + 12. Let q = 2/311 + 303/1244. What is the second smallest value in h, -2, q?
q
Let t = 52.018 - 52. Let v = 0.118 - t. Which is the smallest value? (a) 1 (b) 3/4 (c) v (d) -5
d
Let r = -43.975 + -0.025. Let t = 49 + r. What is the second biggest value in t, 1, -0.02?
1
Let a = 3 + -3.14. Let o = 17.86 - a. Let i = o + -15. What is the third biggest value in -1/7, i, -0.2?
-0.2
Suppose -z = 3 - 6. Let x = 5.012 - 0.012. What is the smallest value in 2, x, -4, z?
-4
Suppose -3*w = -225 - 60. Let z be (1 - -3) + (-399)/w. Which is the biggest value? (a) 0 (b) z (c) -4
a
Let l = -11.1 + 2.1. Let j be 1*(4 + 12/(-9) - 3). Which is the smallest value? (a) 2 (b) 3 (c) l (d) j
c
Let h = 0.4 - 0.2. Suppose -4*t - 27*r = -23*r + 8, -3*t = -2*r + 6. Let j be ((-4)/39)/(2/3). What is the third smallest value in h, j, t?
h
Let z(j) = -j**3 - 8*j**2 - 14*j - 17. Let w be z(-6). What is the third biggest value in -1, w, 2, 0.3?
-1
Let h = 2.9 - 2.4. Let r = -3 + 2.5. What is the second smallest value in r, 1, h?
h
Let a be (0 - 0) + (-10)/45. Let x = 3110 + -3109. What is the biggest value in x, a, -0.4?
x
Suppose 0 = -2*q + u + 6, 16 = 5*q - 2*u - 0*u. Suppose 4*z = -4*a + 3 + 33, q*a = z + 16. Let k be (0 - -10)*a/(-10). What is the smallest value in -3, k, 0.4?
k
Let h = 2218.09 + -2208. Let n = 0.09 - h. Let i = -3897 + 3894. Which is the third biggest value? (a) 3/4 (b) i (c) n
c
Let f = 0.6 - 2.6. Let y = -27 - -26.91. What is the third smallest value in y, f, 0.4, -0.5?
y
Let d(y) = 178 - y**2 - 154 + y**3 - 2*y**3. Let b be d(0). Let k = -23 + b. What is the second biggest value in k, -2, -3/5?
-3/5
Let g = 315.2 + -315. Which is the second biggest value? (a) -4 (b) g (c) -107
a
Let v = -1.09 + 0.09. Let x = -82 + 81.6. Which is the biggest value? (a) v (b) 0.2 (c) x
b
Suppose 2*r = 10, -3*r = 3*h + 42 - 531. Let s = 1739/11 - h. What is the smallest value in s, 1, -0.1?
-0.1
Suppose -2*l + 3*d - 32 = 0, -2*l - d + 2*d = 24. Let x = -6 - l. What is the second smallest value in x, 0.5, -8/5?
0.5
Let q = -267.16 - -267. What is the third smallest value in q, -1/7, -5?
-1/7
Suppose -3*s = 5*r - 15, -51 = -s - 5*r - 36. Which is the second biggest value? (a) -34 (b) -3 (c) s
b
Let i be -4 + 156/42 + 26/42. Which is the fourth biggest value? (a) 0.1 (b) 0 (c) i (d) -57
d
Let v = 18.3 + -22.3. Which is the biggest value? (a) v (b) 5/4 (c) -3
b
Let j = 308/5 + -62. Let h = -45 - -81. Let f be ((-130)/h)/(-5) - 18/81. What is the biggest value in j, f, -1/3?
f
Let f = -660 - -3306/5. Which is the third smallest value? (a) f (b) 4 (c) 0.1 (d) 3/2
d
Let l = -81 + 48. Let i = -32.8 - l. Which is the smallest value? (a) 8 (b) 0.5 (c) i (d) 1/3
c
Let n be (-1)/((-20)/3 - 1). Let m = 75/46 - n. Which is the smallest value? (a) m (b) -6 (c) 5
b
Let o be (2/(-44))/(17/(-306)). What is the third biggest value in 0.03, -0.2, o?
-0.2
Let n(y) = -2*y + 7. Let s be n(3). Let r(j) = -j**3 + 16*j**2 + j - 11. Let g be r(16). Which is the second smallest value? (a) s (b) 7 (c) g
c
Let d = 4 + -3. Let z = 0.037 + -3.937. Let w = z - -4. What is the smallest value in 0, w, d?
0
Suppose 25 = -5*z, -4*z = -r - 0*r - 140. Let q be (-6)/10 - r/(-25). What is the biggest value in 1, 2/5, q?
1
L
|
{
"pile_set_name": "DM Mathematics"
}
|
comes next: -318, -1179, -2558, -4437, -6798, -9623?
-12894
What is next in -124, -587, -1734, -3907, -7448, -12699?
-20002
What is next in 13870, 27690, 41470, 55216, 68934?
82630
What is next in 1570, 1527, 1462, 1363, 1218?
1015
What is next in 8054, 32227, 72516, 128921?
201442
What is the next term in -206, -1786, -4412, -8078, -12778, -18506?
-25256
What comes next: 2404, 2411, 2428, 2461, 2516, 2599?
2716
What is next in -723, -721, -727, -741, -763, -793?
-831
What comes next: -671, -2455, -5429, -9593, -14947?
-21491
What is next in 42245, 84467, 126689, 168911, 211133, 253355?
295577
What is next in 4118, 8245, 12372?
16499
What is the next term in 39, 106, 199, 306, 415, 514?
591
What is the next term in -666, -2860, -6572, -11796, -18526?
-26756
What is the next term in -719, -892, -1065, -1238, -1411, -1584?
-1757
What is next in 1744, 1742, 1764, 1816, 1904, 2034?
2212
What is the next term in -777, -3103, -6979, -12405, -19381?
-27907
What comes next: -2264932, -2264934, -2264936, -2264938, -2264940?
-2264942
What is the next term in -1752, -7376, -16750, -29874, -46748?
-67372
What is next in -691, -1461, -2305, -3229, -4239?
-5341
What comes next: -53, 385, 1315, 2737, 4651?
7057
What is next in -142, -190, -254, -334?
-430
What comes next: -267, -123, 23, 171, 321, 473, 627?
783
What comes next: 952531, 952533, 952535, 952537?
952539
What is next in -2877171, -2877173, -2877175?
-2877177
What comes next: -37647, -75233, -112819, -150405?
-187991
What is the next term in -745677, -1491356, -2237035?
-2982714
What is next in 17743, 17664, 17585, 17506, 17427, 17348?
17269
What comes next: 3596081, 3596080, 3596079, 3596078?
3596077
What is the next term in -517, -1073, -1693, -2377, -3125, -3937, -4813?
-5753
What is the next term in 197, 1108, 2019, 2930?
3841
What is the next term in -78, -104, -148, -210, -290?
-388
What is next in -8836, -17680, -26524, -35368, -44212, -53056?
-61900
What comes next: 49781, 49751, 49721, 49691, 49661?
49631
What is the next term in -17, -77, -151, -221, -269, -277?
-227
What is next in -7612, -15057, -22502?
-29947
What is next in 5212, 10422, 15632?
20842
What is next in 1098, 4492, 10180, 18162?
28438
What is next in 202428, 202431, 202434, 202437?
202440
What is the next term in -52, -184, -574, -1360, -2680, -4672, -7474?
-11224
What is the next term in -173, -225, -281, -341, -405, -473?
-545
What is the next term in -95, -194, -301, -416?
-539
What is the next term in 54, 169, 332, 519, 706, 869, 984?
1027
What is the next term in 269, 1049, 2339, 4139, 6449, 9269?
12599
What comes next: -1360, -2694, -4030, -5368, -6708, -8050, -9394?
-10740
What is next in 10802, 43196, 97184, 172766?
269942
What is next in 28, -97, -222, -347?
-472
What is the next term in 17085, 17074, 17047, 16998, 16921?
16810
What is the next term in -34, -165, -512, -1177, -2262, -3869, -6100, -9057?
-12842
What is the next term in 41959, 83914, 125867, 167818?
209767
What is next in 2215, 4035, 5461, 6493?
7131
What comes next: 112, 386, 824, 1426, 2192, 3122?
4216
What is next in -196, -224, -266, -322, -392?
-476
What comes next: 4296, 4310, 4326, 4338, 4340, 4326?
4290
What comes next: -81681, -163359, -245037, -326715, -408393?
-490071
What comes next: -957, -1898, -2823, -3726, -4601, -5442?
-6243
What comes next: 1503, 4347, 9093, 15747, 24315, 34803, 47217, 61563?
77847
What is the next term in 60860, 60856, 60848, 60836, 60820, 60800, 60776?
60748
What is next in 5614, 5620, 5628, 5638, 5650, 5664?
5680
What is the next term in -6, -174, -750, -1980, -4110, -7386?
-12054
What comes next: 51, 252, 589, 1050, 1623?
2296
What comes next: 217, 552, 1039, 1678, 2469, 3412?
4507
What comes next: 7785, 7784, 7783, 7782, 7781?
7780
What comes next: 12811, 25626, 38441, 51256?
64071
What is the next term in 62916, 251694, 566324, 1006806, 1573140?
2265326
What is the next term in -1502, -1543, -1612, -1709, -1834, -1987?
-2168
What is the next term in -3713, -3729, -3775, -3857, -3981, -4153, -4379, -4665?
-5017
What comes next: 312, 679, 1026, 1353, 1660?
1947
What comes next: 10350, 10349, 10348, 10347, 10346, 10345?
10344
What comes next: -1502, -1595, -1688, -1781?
-1874
What is the next term in -1665, -1672, -1683, -1698, -1717?
-1740
What comes next: 313197, 626394, 939593, 1252794, 1565997?
1879202
What comes next: 21627, 21569, 21511?
21453
What comes next: -2641, -3262, -3883, -4504, -5125, -5746?
-6367
What comes next: -437, -784, -1147, -1532, -1945, -2392?
-2879
What is the next term in -46774, -46786, -46798, -46810, -46822?
-46834
What comes next: 308, 142, -14, -154, -272, -362?
-418
What comes next: 97444, 194888, 292332, 389776, 487220?
584664
What is the next term in 1503, 3012, 4525, 6042, 7563, 9088?
10617
What is next in 1038, 1072, 1176, 1386, 1738, 2268, 3012, 4006?
5286
What comes next: -134256, -134235, -134214, -134193, -134172?
-134151
What is next in 2209, 4408, 6573, 8686, 10729?
12684
What is the next term in -8619, -8653, -8685, -8715?
-8743
What is the next term in 12748, 25573, 38398, 51223, 64048, 76873?
89698
What comes next: -4551453, -9102907, -13654361, -18205815, -22757269, -27308723?
-31860177
What is the next term in 20561, 82238, 185033, 328946?
513977
What comes next: 165, 621, 1553, 3141, 5565, 9005?
13641
What comes next: -3091841, -6183680, -9275519, -12367358, -15459197?
-18551036
What is the next term in -3988, -4009, -4066, -4177, -4360, -4633, -5014, -5521?
-6172
What is next in 2601, 5179, 7759, 10341?
12925
What is the next term in 11203, 22406, 33609, 44812, 56015?
67218
What comes next: 143, 171, 161, 95, -45, -277, -619?
-1089
What is next in -10889, -43564, -98023, -174266?
-272293
What is the next term in 54, 11, -44, -111, -190?
-281
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194005
What is next in -51419, -51426, -51433?
-51440
What comes next: -3156, -6318, -9480, -12642, -15804, -18966?
-22128
What is the next term in 49630, 99190, 148750?
198310
What is next in -94858, -94857, -94856?
-94855
What comes next: -44, -33, 72, 325, 780, 1491, 2512, 3897?
5700
What is the next term in 2152, 8559, 19228, 34159, 53352, 76807?
104524
What is the next term in -1782, -1778, -1772, -1764, -1754, -1742, -1728?
-1712
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2873062
What comes next: -3024, -2826, -2496, -2034, -1440, -714?
144
What comes next: 63, 490, 1687, 4050, 7975, 13858?
22095
What is the next term in -6573, -26283, -59133, -105123, -164253, -236523?
-321933
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-141097
What comes next: -6, 176, 478, 900, 1442, 2104?
2886
What is next in 185509, 185483, 185447, 185407, 185369?
185339
What is the next term in -9966, -9965, -9964, -9963?
-9962
What comes next: 235, 262, 293, 328, 367, 410?
457
What is the next term in -4513, -8994, -13475, -17956, -22437?
-26918
What comes next: -954, -1531, -2108, -2685?
-3262
What comes next: 2319, 2326, 2335, 2346?
2359
What is the next term in -26, -34, -50, -80, -130, -206, -314, -460?
-650
What is next in -127, -204, -319, -460, -615?
-772
What is the next term in -1517, -3047, -4579, -6113?
-7649
What is next in -72, -378, -1044, -2196, -3960, -6462, -9828, -14184?
-19656
What is next in 134, 277, 472, 719, 1018?
1369
What is the next term in -174920, -349843, -524766, -699689?
-874612
What comes next: -914, -1501, -1768, -1715?
-1342
What is the next term in 5805, 6558, 7813, 9570?
11829
What is next in -234541, -234519, -234497?
-234475
What comes next: -9578, -9587, -9596?
-9605
What comes next: 27, -38, -195, -480, -929, -1578?
-2463
What comes next: -154, -590, -1304, -2296, -3566, -5114, -6940?
-9044
What comes next: 14456640, 14456634, 14456618, 14456586, 14456532?
14456450
What comes next: 11679, 23306, 34881, 46404, 57875, 69294?
80661
What is the next term in 5290, 21189, 47696, 84817, 132558, 190925, 259924?
339561
What is the next term in 35059, 70115, 105171, 140227?
175283
What is next in 41016, 164104, 369262, 656496, 1025812, 1477216?
2010714
What is next in 3225, 6446, 9667, 12888, 16109, 19330?
22551
What is next in 10616, 10301, 10004, 9731, 9488, 9281?
9116
What comes next: 5886, 11754, 17622?
23490
Wh
|
{
"pile_set_name": "DM Mathematics"
}
|
ose d = -2*d - 4*w, 0 = d + 3*w. Suppose -p + 4327 = -d*i + i, 4*i - 17308 = -2*p. Is i composite?
False
Let y = 326 - 321. Suppose y*u - 1623 = 2*u. Is u prime?
True
Suppose -4*i = -r + 363233, -85*r + 86*r = i + 363251. Is r composite?
False
Let h(s) = -2*s**3 + 71*s**2 - 314*s + 392. Is h(-75) prime?
True
Let q(l) = 2*l**2 - 24*l + 2. Let f be q(12). Let n(u) = 1 + 4 - 22*u**f - 20*u - 11 - 11 - 2*u**3. Is n(-14) prime?
True
Suppose -5*x + 49680 = -5*p, 3*x + 15795 - 45605 = 4*p. Suppose -5*b - x = 4276. Let i = b + 4083. Is i a prime number?
False
Suppose 2*o + 40 - 56 = 0. Suppose -o*i + 20*i = 112044. Is i composite?
False
Let s = 8646 - 4760. Suppose -1021*i = -1019*i - s. Is i composite?
True
Let k = -29072 - -29130. Let a = 14 - -685. Let l = a - k. Is l composite?
False
Let y = 277178 - 116869. Is y a composite number?
False
Let f be (-15)/18*(-13)/(65/30). Suppose 11*c - 14154 = f*c. Is c a composite number?
True
Is 7 - 2448/(-68)*655/3 a composite number?
False
Let a be (-1 + 2)/((-12)/180). Is ((-5)/a)/(2/65622) composite?
False
Let z(p) = -166*p + 4. Let f be z(-7). Suppose 7371 = 5*u + f. Let v = 1782 - u. Is v a composite number?
False
Let w be ((-48)/3)/((-321)/(-324) + -1). Let b = w - 554. Is b a prime number?
False
Suppose 5*h - 36248 = -i + 23844, -4*h = -4*i + 240296. Is i prime?
True
Let t(q) be the first derivative of q**3/3 + q**2/2 + 613*q + 56. Is t(0) a prime number?
True
Suppose -6*q + 52098 = -q + 16613. Is q prime?
False
Is (-44 + (-86)/(-2))*(-168192 - 1) a composite number?
False
Let p be (-4)/((-4)/((-8)/(-4))). Suppose g + p = 4*i, -2*i - 25 = 4*g - i. Let k(u) = 26*u**2 + 6*u - 11. Is k(g) a prime number?
False
Let z = 327 - 323. Suppose -3*c + 2*l + 2942 = -3353, z*c + 4*l = 8360. Is c a prime number?
False
Let a = 14 + 15. Suppose -a*g - 1206 = -47*g. Is g a composite number?
False
Suppose 2721 = 294*x - 297*x. Is (x/3)/(47/(-141)) a composite number?
False
Suppose 5*f + 6*q - 41 = 7*q, 5*f - 65 = -5*q. Let b(k) = -21*k - 4 + 2 + 3*k**2 + 10*k**2. Is b(f) composite?
True
Suppose 150*p - 167*p + 2763367 = 0. Is p a composite number?
True
Let i(q) = -2*q**2 + 12*q - 14. Let l be i(4). Suppose 0*m + 5*m = 50. Suppose 176 = m*t - l*t. Is t a prime number?
False
Let c(r) = 7*r**2 + 259*r - 253. Is c(78) a composite number?
True
Let f(s) = -s**2 - 8*s + 5. Let o be f(-8). Suppose 5*h = o*t + 3675, 3*t = 5*t - 3*h + 1469. Let x = -357 - t. Is x a composite number?
False
Let t(y) = -3*y**2 - 43*y + 2. Let d be t(-15). Is -10*-10942*(-7)/d prime?
False
Suppose 2*v - 6*l - 30978 = -10*l, 6 = -3*l. Is v a composite number?
False
Let r = -22 + 27. Suppose -14 = -4*t + 2*b, 8 + r = 2*t + 5*b. Is (-2)/(t/(-1524)*2) composite?
True
Suppose -w = 2*f - 21, -3*f + 52 = -3*w + 7. Let l = 733 + f. Is l a prime number?
False
Let m be 1 + 24 + (-5 - -2)*-1. Suppose m*p - 24*p = 568. Is p - ((-5)/4 + 2/8) a composite number?
True
Let p be (-11430)/(-8) - -5*(-18)/120. Suppose x - p = -2*c, c - 2 = 2. Suppose 4*u = 3*k - 887, -8*u = 5*k - 3*u - x. Is k prime?
False
Suppose 307761 - 343731 = -35*m + 614715. Is m composite?
True
Suppose -90 - 30 = 3*y - 2*j, -4*y + 4*j = 156. Suppose -1326 = -22*p + 56*p. Let g = p - y. Is g a prime number?
True
Suppose -11*f = -3*f. Let s(k) = k**3 + k**2 - k + 165. Let g be s(f). Let j = g - -104. Is j prime?
True
Let t = 447632 - 224399. Is t a composite number?
True
Let c = 6 - 6. Suppose c*b + 2*b = -4*r + 2144, 0 = -2*b + r + 2139. Let j = 24 + b. Is j a composite number?
True
Is -160231*(-5)/15*(-5 + 8) prime?
True
Let z(p) = 68*p**2 - 20*p - 91. Let v be z(-15). Suppose v = 23*f - 10*f. Is f prime?
True
Let l(r) = -78*r - 61. Let d(w) = -w**2 - 22*w + 21. Let v be d(-24). Is l(v) a composite number?
True
Suppose 6*y - 108182 - 88096 = 0. Is y a composite number?
False
Let l = -545 - -935. Suppose a = -4*c + 3765, -5*a + c + l = -18351. Is a composite?
True
Is 2683398/(-2)*(13 + -18)/15 prime?
True
Let f(b) = -276*b + 3. Let r be f(-4). Let k = 1624 - r. Let p = -210 + k. Is p prime?
True
Let s be 10/(-15)*(-3 + 0). Suppose 0 = -4*a - 5*o + 46, 4*a - 14 = 2*a + s*o. Suppose -k = -a*k + 5080. Is k a composite number?
True
Suppose 0 = -135*y + 138*y + 37086. Let z = -6123 - y. Is z composite?
True
Let y = 56 - 39. Suppose y*l - 215369 - 21900 = 0. Is l a composite number?
True
Let o(f) = 22323*f + 1782. Is o(5) a prime number?
False
Let v(d) = -5820*d**3 - 3*d**2 - d. Let m be v(-1). Let j = 10640 - m. Is j a composite number?
True
Suppose 15*q = 12*q + 18252. Suppose 0 = -10*i + q + 10736. Suppose i = l - 3*u - 2*u, -u = 5. Is l a prime number?
True
Suppose 0 = 3*u - 115226 + 23783. Suppose u = 15*b - 4*b. Is b prime?
False
Let d be (-15)/(-105) - (194/(-14) + 2). Is -5727*((-40)/d + 3) a composite number?
True
Let o(b) = 54*b**2 + 20*b + 8. Let a be o(14). Suppose -4*y = -4*j - a, -4*y - 3*j + 3030 = -7877. Is y prime?
False
Let a = -42 + 49. Suppose 0 = 3*q + 9, 0 = 6*p - a*p + 4*q + 817. Suppose 0 = -z - 2*r + p, 5*z + 13*r - 4055 = 18*r. Is z prime?
True
Let x = -2690 + 4608. Is (12 - 18) + x/2 a composite number?
False
Let m(x) = 201*x - 12. Let p be m(13). Suppose -6*t + 4413 = -p. Is t composite?
True
Let v(d) = 111*d**3 + d**2 + d - 2. Let x be -2 + (-16)/(-3) - 8/24. Is v(x) a prime number?
False
Is (-37333062)/(-570) - 4/(-10) prime?
True
Let j = 82 - -722. Suppose 4*k + 7948 = j. Let d = -595 - k. Is d prime?
False
Let a be (5/((-75)/20))/(3/18). Is (2 - 3)*(7 + a - 418) composite?
False
Let i(g) = 9*g**3 - 2*g**2 + 5*g - 2. Let w be i(-5). Let f = w + 3753. Is f composite?
False
Let s be -2 + (-3)/(12/(-16)). Suppose s*w + 5*v - 10089 = 0, w + 1473 = 5*v + 6510. Suppose -47*u - w = -49*u. Is u prime?
True
Let u be (195000/(-21) - (-2)/(-7))*-6. Suppose 4*t - u = -0*t. Suppose 24*q - 27*q = -t. Is q a composite number?
False
Let b = 542759 - 361441. Is b prime?
False
Suppose 0 = -t - 3*t + 1240. Let m = t + -125. Suppose -182*d - 1893 = -m*d. Is d a composite number?
False
Let f = -12 + 27. Let g be ((-20514)/(-65))/(2/f). Suppose -g = t - 4*t. Is t a prime number?
False
Let l(d) = 10*d**3 + 9*d**2 + 2*d - 41. Let x be l(-8). Let h = x + 9322. Is h a composite number?
False
Let s(b) = 194*b - 83. Let u be s(26). Suppose 0 = 16*m - 111567 - u. Is m a prime number?
True
Let b = -12274 + -63281. Let o be ((-12)/15)/(18/b). Suppose -5*g + 2*g = -5*i + o, 2*i - 3*g - 1345 = 0. Is i prime?
False
Suppose -g = -0*g + 5, 4*f - 33 = 5*g. Let c(u) = 4*u - 4*u**3 - u**3 - 31*u**f + 42*u**2 - 1. Is c(-4) a composite number?
False
Suppose -124791 - 159813 = -111*y. Let v(k) = -k - 3. Let q be v(-3). Suppose -4*c + y = -q*c. Is c composite?
False
Suppose -4*l - 5*h = -66, 5*h + 70 = 3*l + 3. Let f(b) = b**3 - 12 + 3*b + 58 - 29 + l*b**2. Is f(-16) composite?
True
Suppose 0 = -841*t + 808*t + 13928343. Is t prime?
False
Is (-140138)/(-82)*(-2 - -19) prime?
False
Let l be 4/(1*-3 - -2). Let j be 6/(((-36)/(-24))/(3/(-4))). Is (6 + -3)/(l/(424/j)) a composite number?
True
Suppose 2*h - 16 = -2*h. Let f be (4/40)/(1/h)*-470. Let t = 333 + f. Is t a composite number?
True
Suppose -4*b = 4*r - 1674548, -r + 1674554 = -99*b + 103*b. Is b prime?
False
Suppose -b = 3*m + 2, -4 = 4*m - 2*b + 4*b. Suppose 2*g + 2*u = -m*g + 288, -3*g + u = -436. Is g composite?
True
Suppose 0 = -7*f + 28871 + 16783. Suppose 5*n = 3*n + f. Is n composite?
True
Is (-1 - (-3184)/(-3))*-5*2355/25 a composite number?
True
Let j be (-4)/3*(-519)/(-2). Suppose -4341 = -5*k - 146. Let w = k + j. Is w composite?
True
Suppose 2*v - 3*l = 6, 5*v - 5*l + 5 = 15. Suppose v = -24*f + 6*f + 784746. Is f prime?
True
Is (-170152)/20*10/16*-4 prime?
True
Suppose 369*u - 279739152 = -31378905. Is u a prime number?
True
Let c(r) = -3*r**2 - 18*r. Let v be 100/(-16) - ((-5)/4 + 1). Let u be c(v). Suppose 2850 = 2*f + 2*i - i, 5*f - i - 7111 = u. Is f a prime number?
True
Suppose 488 = 6*t - 22. Let b = -97 + t. Is 2/(-3) + (-19774)/b*2 a prime number?
False
Let m(j) = j**3 - 5*j**2 - 2*j + 5. Let o = -45 - -50. Let v be m(o). Let l(a) = -2*a**3 + 4*a - 4. Is l(v) composite?
True
Suppose 139*o - 145731636 = 306470468 - 34704345. Is o prime?
False
Let g(k) = 3*k**2 - 7 - 6 + 10*k + 3 + 6*k. Let p be g(6). Let i = p + 693. Is i a composite nu
|
{
"pile_set_name": "DM Mathematics"
}
|
.787.
-57081.118
What is -3 times 4.0999632?
-12.2998896
-2639025 * 13
-34307325
Product of 0.04 and -5077778.
-203111.12
4.525014*-3
-13.575042
0.4 times 10488053
4195221.2
Product of -235430569 and 1.
-235430569
-18.153 * -25
453.825
Multiply -0.0585 and -44978.
2631.213
-0.12 times -6951.767
834.21204
13 times 3032.9
39427.7
-1571 * -33317
52341007
What is -0.3 times 36348993?
-10904697.9
Work out -0.174 * 37244.
-6480.456
Multiply -86989.8 and 55.
-4784439
Product of 0.005 and -0.03224.
-0.0001612
Calculate -3261*-108.1.
352514.1
What is -6.7 times 116441?
-780154.7
-5 * -29849.4
149247
-60.1*1080238
-64922303.8
Calculate -21*-109899.
2307879
-0.2 * 0.1837002
-0.03674004
Product of 16103 and 2777.
44718031
Work out -0.733004 * -0.417.
0.305662668
Calculate -11150.5*-43.5.
485046.75
2581.6*-18071
-46652093.6
Work out -0.03615 * 21618.
-781.4907
273494.5 * 0.73
199650.985
Calculate 21.4958*5.
107.479
Product of -1382 and -204.9.
283171.8
7859*18818
147890662
Product of 0.97497 and 2.2.
2.144934
What is the product of 0.14 and -5062158?
-708702.12
0.068 times -0.0775536
-0.0052736448
Product of 2 and 749376.
1498752
-8342 times -0.864
7207.488
5.8*-10431878
-60504892.4
What is the product of 16911 and -104?
-1758744
Product of -0.1034 and 1439.3.
-148.82362
Work out 34433619 * 0.5.
17216809.5
What is the product of -6 and -226.5133?
1359.0798
Multiply 0.2 and -90573511.
-18114702.2
0.35 * -1145.05
-400.7675
Work out 223762 * -5.5.
-1230691
Multiply 279064.66 and 0.2.
55812.932
-0.331228*0.15
-0.0496842
Multiply 51518 and 1795.
92474810
What is the product of -44082 and 57?
-2512674
Multiply -6.5193517 and -0.06.
0.391161102
Calculate 0.4*7074919.
2829967.6
What is -4322 times 0.1073?
-463.7506
2447 times 0.36155
884.71285
What is -939122 times 0.154?
-144624.788
What is 0.2 times -0.17931285?
-0.03586257
What is 10 times -588335?
-5883350
0.5*-1324.19529
-662.097645
Product of 2.0699 and -245.
-507.1255
4800673.8*1
4800673.8
-5 * 1736427.3
-8682136.5
53405100*0.01
534051
0.027 times -169000.1
-4563.0027
-0.7215 * -3247
2342.7105
-46840 times 969
-45387960
Work out 89350479 * -0.4.
-35740191.6
0.1 times -508300
-50830
Calculate -61572*-307.
18902604
9106413 * -0.06
-546384.78
Calculate 0.4316512*3.
1.2949536
Calculate -2.2*-2032842.
4472252.4
Multiply -34 and -420761.
14305874
What is the product of -0.0032338 and -81?
0.2619378
12.0983 times 0.0303
0.36657849
Product of -0.5 and 3557.774.
-1778.887
Calculate -0.03122*-6540.
204.1788
What is -8710680 times -4?
34842720
-9199893 times 11
-101198823
What is the product of 0.1 and -22639547?
-2263954.7
What is 0.009202 times 2777?
25.553954
-41736735 times -2.1
87647143.5
Calculate -1*-3247448.
3247448
Product of 7397 and -33.
-244101
Calculate -10183754*-1.
10183754
Product of -5025.5077 and 7.
-35178.5539
What is the product of -5033 and 5.7058?
-28717.2914
Work out -5575399 * 0.
0
What is 1703 times 1.21?
2060.63
Work out -3 * -843170.
2529510
Product of 0.5 and -3.100437.
-1.5502185
Work out 13631605 * 4.
54526420
13*1818329
23638277
88.7213*0.76
67.428188
-3745*-1122
4201890
What is the product of 28 and 190360.52?
5330094.56
22*-106227
-2336994
-40.25873 times -0.2
8.051746
Work out -1784 * -681.76.
1216259.84
Multiply -60.6234 and -0.31.
18.793254
7 * -15211686
-106481802
-0.04326 times -1.2516
0.054144216
Product of 1969.1043 and -0.3.
-590.73129
Calculate -5.6*76006.
-425633.6
Calculate -18.137*-74.
1342.138
Multiply 100553574 and 9.
904982166
What is the product of -8152.4157 and 1?
-8152.4157
Multiply 6674676 and -2.
-13349352
Multiply 2 and -12492.96.
-24985.92
Product of 309 and -152.92.
-47252.28
Product of 10119792 and -6.
-60718752
Product of -507 and 18353.3.
-9305123.1
Work out 4883 * -2.56.
-12500.48
499.5205 * -0.4
-199.8082
-0.3 * -166354708
49906412.4
What is -21209.5 times 0.01?
-212.095
What is 4385.2 times -0.07?
-306.964
530.41 times -11.2
-5940.592
Multiply -22953517 and 0.09.
-2065816.53
Product of -0.37 and 2529.42.
-935.8854
Work out 4.7 * -3271069.
-15374024.3
0.5*-4.8746628
-2.4373314
Product of -3413.2 and 2254.
-7693352.8
Work out -30119 * 1524.
-45901356
4*-145564
-582256
Work out -572 * -111725.
63906700
What is -39274703 times 2?
-78549406
Product of -28 and -4465300.
125028400
What is the product of -88011987 and -0.5?
44005993.5
What is the product of -11768 and -0.8777?
10328.7736
Work out -72.4 * 83811.
-6067916.4
What is the product of -3 and 398985?
-1196955
Calculate 13466*16545.
222794970
What is the product of -0.5 and 17871957?
-8935978.5
Product of 14233 and 28261.
402238813
-1.26 * 23407
-29492.82
-0.8535043 * -3
2.5605129
Product of -0.1327 and 23696.
-3144.4592
-26073 * -749
19528677
Product of 0.5 and -213.5426.
-106.7713
-0.4 times 1.0202812
-0.40811248
Work out 3 * 118.5731.
355.7193
0.5 times -18306404
-9153202
1 * 3.298661
3.298661
-86513848 times 0
0
Multiply -10.75 and -0.133391.
1.43395325
Work out 269.603 * 9.36.
2523.48408
What is 0.0255 times 1.67513?
0.042715815
Multiply -14 and -8.365784.
117.120976
Work out 229 * -250.541.
-57373.889
Work out 37815 * -22404.
-847207260
51146.5 times 308
15753122
What is the product of -125.2 and 948.7?
-118777.24
What is the product of 3.709 and -8195.3?
-30396.3677
Product of -552.8 and -1360.
751808
Product of 1.668 and 5.69.
9.49092
Multiply -141210 and -247.
34878870
Calculate 0.0784*830694.
65126.4096
Multiply -34700 and 155.8.
-5406260
-1551 * -69767
108208617
What is the product of -162 and -774723?
125505126
Work out 1068 * -237080.
-253201440
-0.04 times 68123.8
-2724.952
Calculate 5*1334109.
6670545
What is the product of 5 and 0.3295653?
1.6478265
Product of 253.857 and 1038.
263503.566
Work out 0 * 0.30976033.
0
Product of 319 and -6414.5.
-2046225.5
211 * -2.1542
-454.5362
Work out -5158 * -3.09.
15938.22
Multiply 197949810 and -0.06.
-11876988.6
What is -691 times 468428?
-323683748
Work out 11818782 * 11.
130006602
Work out 3018.5668 * -38.
-114705.5384
Work out -1114.61525 * -2.
2229.2305
104.7*1942.56
203386.032
-4 * 34488390
-137953560
1526*-3212
-4901512
Multiply -1.643157 and 1.6.
-2.6290512
Product of -256420 and -6.8.
1743656
Product of -1230488 and 15.
-18457320
Work out -716216 * -4.
2864864
Calculate 1887.4*-0.02.
-37.748
Work out -1 * -57872580.
57872580
141904 * -1215
-172413360
-1867 * 6476
-12090692
3*-296.8637
-890.5911
Calculate 0.60338208*0.2.
0.120676416
-3.41065 * 0
0
Product of -77086.25 and 0.02.
-1541.725
Multiply -8.3 and -83.13.
689.979
-0.0859 times 286476
-24608.2884
Work out 74829 * 0.035.
2619.015
Multiply 132124 and 1948.
257377552
Product of 22867745 and -0.4.
-9147098
Product of 2 and -334838493.
-669676986
What is the product of -34806.27 and 0.2?
-6961.254
Product of -1398 and 14520.
-20298960
2*8753.011
17506.022
What is the product of -780264 and -10?
7802640
Multiply -552937 and -37.
20458669
-148.752*5.19
-772.02288
9161091 * 0.3
2748327.3
Product of -726 and -138.161.
100304.886
Product of -70887713 and 2.
-141775426
Work out 1.86733 * -0.569.
-1.06251077
0.2893*1962
567.6066
3.75 times 2.9399
11.024625
Work out -262 * 9724.
-2547688
What is 0.181 times 1996269?
361324.689
Multiply -26 and 0.118336.
-3.076736
Calculate 5*75177.3.
375886.5
Multiply 0.2 and -903153.
-180630.6
What is -0.23 times -162933?
37474.59
What is -306033 times -0.335?
102521.055
What is the product of 32345 and 17.2?
556334
930.68 times 202.54
188499.9272
0.1 * 65.00529
6.500529
What is the product of -0.13 and 2766006?
-359580.78
Calculate 3679240*1.
3679240
What is the product of 744 and 2311?
1719384
Product of 11.43652 and -17.
-194.42084
Calculate 369216614*3.
1107649842
Work out -13139.6 * 982.
-12903087.2
Calculate -703*-2.78533.
1958.08699
3*0.0288944
0.0866832
Calculate 629617*0.07.
44073.19
What is 17540 times -3492?
-61249680
What is 1594 times -12.406?
-19775.164
-2 * -404068
808136
What is the product of -13651.21 and -0.2?
2730.242
0.05369 * -0.0548
-0.002942212
3.3 * -154.2
-508.86
Product of 20.3463 and 0.47.
9.562761
What is -208936442 times 0.3?
-62680932.6
0.3 times 14240349
4272104.7
-0.79369146 times -0.1
0.079369146
What is the product of -21.893 and 861?
-18849.873
-0.278 times -2694.51
749.07378
Calculate 1.137711*-1.38.
-1.57004118
0.013466 * -1
|
{
"pile_set_name": "DM Mathematics"
}
|
Suppose 916 + 218 = 11*a + 177. Solve -10*j - 167 + a = 0 for j.
-8
Let q = -3287 - -3335. Solve q*h - 4 = 47*h for h.
4
Let f(j) = 11*j + 38. Let n be f(-3). Suppose -2*x + 12 = n*q, -22*q = -4*x - 19*q - 2. Solve 4*g + x - 1 = 0 for g.
0
Let r = -107 + 5. Let f = -102 - r. Suppose f*j = 7*j - 14. Solve 4*b + j = -6 for b.
-2
Let h(c) = -c**3 + c**2 - c. Let x be h(1). Let j be (0 - 2) + 18 + x. Let f = -8314 - -8314. Solve -j = -f*r - 5*r for r.
3
Suppose 2*v - 23 = -11. Suppose -12 - 4 = -4*f. Let g = -4 + f. Solve g = -3*o - v - 0 for o.
-2
Let r(y) = 7*y + 3 + 0 + y**2 + 5 + 0. Let g be r(-7). Solve 0 = 3*n - 1 - g for n.
3
Suppose -2*i + 73 = a, i = -5*a + 16 + 7. Solve i*k = 14*k - 24 for k.
-1
Suppose 69*l = 5866 + 70517. Solve 49 = -l*s + 1114*s for s.
7
Let p be (-288)/48 - (6/33 - (-3968)/(-44)). Solve 42*m = 56*m - p for m.
6
Suppose -2*p = 5*j + 155 + 825, 3*p - 5*j = -1445. Let c = p + 487. Solve -c*o = 2 + 4 for o.
-3
Suppose 3*o - 4*r = 466, -4*r + 612 = 12*o - 8*o. Suppose -24*c - o = -38*c. Solve c*m - 13*m = 0 for m.
0
Let t = -602 - -616. Suppose -t*f + 9*f = f. Solve -5*r + 6*r - 1 = f for r.
1
Let u(z) = z + 12. Let g be u(3). Suppose a + 1 = 2*m + 13, -5*a = -m - g. Suppose -a*w + f = 5*f - 24, 0 = 2*w - f + 1. Solve 8 = w*t - 2 for t.
5
Let k(y) = 2*y**3 - 12*y**2 + 22*y - 229. Let r be k(7). Solve 192 = 55*v - r*v for v.
6
Let v(q) = 4*q**3 - 20*q**2 - 5*q + 25. Let h be v(5). Solve -9*j - 10 + 37 = h for j.
3
Let v(z) = -z**3 + 4*z**2 - 5*z + 6. Let p = -108 - -111. Let u be v(p). Suppose u = -24*c + 26*c - 4. Solve c*x + 13 - 5 = 0 for x.
-4
Let z(h) = h**2 + 8*h - 40. Let d be z(-11). Let y be 39/(-91)*d*13/3. Solve -17*l - 12 = -y*l for l.
-3
Let t = -5244 + 5288. Solve 0 = 11*q - 33*q - t for q.
-2
Let c(y) = 54*y + 38. Let p be c(3). Let i be (-11)/(-4) + 0 - 150/p. Solve 0 = i*q + q for q.
0
Let p(l) = -29 + 19*l - 16*l**2 - 34*l + 2 - l**3. Let a be p(-15). Let y be ((-153)/a)/((-4)/(-3) + -1). Solve 5*t + 8 = -y for t.
-5
Let h(v) = 2*v + 4. Let u(r) = -5*r**2 + r. Let b be u(1). Let a be h(b). Let t be (a/14 - (-38)/(-14)) + 6. Solve -t*x + 20 = x for x.
5
Let j(z) = -31*z + 145. Let r be j(-23). Let c = 863 - r. Solve -c*v = 75 - 80 for v.
1
Let p(j) = -j**3 + 10*j**2 + j - 8. Let v be p(10). Let k(x) = -12*x**v + 13 - 8 - 15*x + 11 - 5*x**2 - x**3. Let z be k(-16). Solve z = -3*t - t + 20 for t.
5
Let j = 146 - 128. Suppose -l - 5*h + j + 0 = 0, -3*h = 5*l - 24. Suppose -l = -r - 1. Solve p = -r*p - 15 for p.
-5
Let s be (-32)/(-15) - -5*2/(-75). Let r = 52 + -51. Suppose 3*f - 5*h - 2 + r = 0, 3*f = -h + 7. Solve 16 = -f*y - s*y for y.
-4
Suppose 272*n - 362*n = -7020. Solve 34*i - 21*i - n = 0 for i.
6
Let k(p) = -3*p + 63. Let w be k(17). Suppose w*u = 10*u + 8. Let o be 15/10 - -2*(-3)/(-12). Solve -r + u = -o*r for r.
-4
Suppose 6*u - 48 = 0, -468 = 20*w - 22*w + 5*u. Solve 5*p - w = -289 for p.
-7
Suppose -127*q = 20*q. Solve -24*m + 7*m - 85 = q for m.
-5
Let y(s) = 13*s + 67. Let j be y(-5). Suppose -7*w = -17 - 32. Solve w*x - 9*x = -j for x.
1
Suppose 28*v + 5754 = 12754. Solve -7*l - 208 = -v for l.
6
Let q be (8/(16/14) + -7)*(-2)/6. Solve -8*f - 32 = -q for f.
-4
Suppose -9*t = 3*t + 72. Let x(h) = h**2 + 7*h + 6. Let p be x(t). Solve -11*i + 7*i + 16 = p for i.
4
Suppose -p = 4*v + 17, -4*p - 2*v = -0*v - 2. Let g = 130492 - 130488. Solve y = -p*y - g for y.
-1
Let i be -6*2/(-18)*3. Suppose -w + 122 = -3*c, -3*c + 3*w = 4*w + 130. Let t = 43 + c. Solve 0 = 3*u - i*u - t for u.
1
Suppose 0 = 2*b - 0*b + 10, -5*c + b = -40. Let h(l) = 12*l - 77. Let o be h(c). Solve -4*n = -o*n for n.
0
Suppose 2*c + 5*r - 174 - 100 = 0, -4*c - 4*r + 548 = 0. Solve 134*x - 3 = c*x for x.
-1
Let q = 23 - -29. Let u = q + -93. Let a = -39 - u. Solve 0*z + 2 = a*z for z.
1
Let y(o) = -o**2 - 6*o - 1. Let j be y(-3). Let h(a) = -5 - 6 - 5 + 2 + 4*a. Let q be h(4). Solve q*x = -j + 4 for x.
-2
Let y = 43 - 40. Let x(u) = 2*u. Let k be x(y). Suppose -5*l + 12 = 2*z - 2*l, k = z + 4*l. Solve -3*b = -0*b - z for b.
2
Let c be 1/(-2) - (-49)/(-14). Let w = -1 - c. Let v be -1 + -1*54/(-9) - 1. Solve -w*u - 3 = -v*u for u.
3
Let p be 144/(-27) + 3036/198. Solve p + 245 = -51*f for f.
-5
Let h(p) = -p**2 - 11*p. Let f(b) = b. Let i(y) = 4*f(y) - h(y). Let g be i(-15). Solve 3*t + 5*t = g for t.
0
Suppose 4*n + 5*t = 205, -4*n + 170 = -12*t + 10*t. Solve n - 27 = 9*k for k.
2
Let s(l) be the second derivative of -l**4/6 + l**3/6 - 9*l**2 - 4*l. Let i be s(0). Let r = i + 20. Solve r*d = -2*d for d.
0
Suppose -2*c = -6*c. Let k be 2/12*4 - (-712)/(-24). Let v = -27 - k. Solve c*u + u = -v for u.
-2
Suppose 15*j = 96*j - 28790 + 2546. Solve 345*k = j*k - 84 for k.
-4
Suppose 327 = 8*s - 169. Suppose -4*q + s = 22. Solve 3*j + q = -5 for j.
-5
Let f(g) = 4*g**2 + 1. Let p be f(1). Let o(n) = 7*n - 7. Let t be o(-13). Let l = -79 - t. Solve 6 = p*x - l for x.
5
Let o(s) = s**3 + 25*s**2 + 26*s + 51. Let q be (21 - -3)/(3 - 4). Let i be o(q). Let n be (15/4)/(-5)*-4. Solve n*h + 0*h + i = 0 for h.
-1
Suppose 5*x - 3*k + 6*k = 67, k = -2*x + 26. Suppose -5*q + a = -8, 0*q + q + 4*a + x = 0. Solve -19 - q = 4*f for f.
-5
Let d be 90 + -81 - (4 - 124). Solve 52 = -11*c + d for c.
7
Let q = 4544 + -4535. Solve q*f = 5*f + 16 for f.
4
Let a = -244 - 126. Let i be 176/5 + 74/a. Solve -5*y + i = 15 for y.
4
Suppose 137 = 3*d + 74. Let b be (-4 + 5)/(1/7). Solve 0 = -b*p + 7 + d for p.
4
Suppose 4*b - 94*h = -92*h + 28, -5*b + 65 = 5*h. Solve 6*i - 15 = b for i.
4
Suppose -5*v + 2 + 3 = 0. Let p = -332 - -314. Let u be (-68)/(-35) + p/(-315). Solve -u*d + 3 = -v for d.
2
Suppose -16*j - 1928 = 616. Let u be j/(-33) - (-24)/132. Solve u*f - 8 = 7 for f.
3
Let i be (-2)/(-4)*((-1196)/(-23) - 12). Solve i*b - 5*b = -15 for b.
-1
Let b = -119 + 122. Suppose 5*w - 3 - 27 = -5*y, 0 = -2*y - 5*w + b. Solve 0 = -2*m - 1 - y for m.
-5
Let w = -19 + 27. Let t = w + 1. Suppose 2*j = 2, 4*j = -2*h + 5 + t. Solve v = h*v - 8 for v.
2
Let n(c) = 26*c**2 - 992*c + 175. Let u be n(38). Solve u*x - 60 = 38*x for x.
-4
Let d(p) = p**2 - 13*p - 19. Let z be d(14). Let h be (-1 + -1)*z/(70/21). Solve -h*u = -5*u for u.
0
Let j be ((-77)/(-33) + -3)/(((-5)/(-12))/(-5)). Solve 13*t - 20 = j*t for t.
4
Suppose -11*o - 118*o = -2064. Solve 10*h - o = 8*h for h.
8
Let z be ((-53)/(-4))/(2/(-8)). Let f be (-11 + 18)/(2/16). Let b = f + z. Solve -b*c = -c for c.
0
Let p = -1673 + 1876. Solve -p*m - 42 = -196*m for m.
-6
Let a be (-12)/3 + -36 + 40. Solve a = -68*o + 85*o - 119 for o.
7
Let w(p) = 4*p + 21. Let q be w(-5). Let u be (11 - 2) + (-2)/q. Let f be ((-6)/u)/((-1)/7). Solve 2*v = -0*v - f for v.
-3
Let v be ((-10)/4)/(190/(-456)). Suppose v*a - 8*a + 112 = 3*j, 0 = 4*j + 4*a - 156. Solve 9*p + j - 7 = 0 for p.
-3
Let t be (-238)/170 + 3/(-5) - -5. Let v(f) = -f**3 + 5*f**2 - 4*f - 4. Let u be v(t). Solve 3*r = -u*r + 15 for r.
3
Let s be -7 - (-1)/((-10)/10) - -67. Solve 29*y + s + 57 = 0 for y.
-4
Suppose -4*q + 7*n - 2*n - 7 = 0, 4*n - 16 = -2*q. Suppose -q*u = -3*u - 4*x, -5*u = -3*x - 115. Let f be 28/21 - (-2)/3. Solve -f*r - 2*r = -u for r.
5
Suppose -2*k + 39 = 3*w, 14 + 1 = 5*w. Suppose -t - 62 - 441 = 0. Let i = t - -503. Solve i*p = -3*p + k for p.
5
Let p be (-6)/4*(-40)/15. Let m(g) = 3*g**2 - 219*g - 217. Let s be m(74). Solve -s = -p*n - 1 for n.
1
Let u be 495/(-66)*(-3)/5*2. Solve -4*p = u*p for p.
0
Let l be (65/(-65))/(2/24). Let d be l*1*(-9)/27. Solve d*f - 5*f = 5 for f.
-5
Let r = 223 + -226. Let t be r/(-24) - (-3)/(-24). Solve 2*p - 10 + 4 = t for p.
3
Let x(g) = 2*g**3 + g**2 + 3. Suppose 6*p = 16 + 56. Suppose -2*m + 3*f + p = 0, -3*f - 2*f - 20 = 5*m. Let h be x(m). Solve 0 = 7*d - h*d for d.
0
Let v be 2 + 34 + -7 + -9. Suppose -3*b + 4*j - v = 0, -10*b + j - 5 = -6*b. Solve 9 = 3*t - b*t for t.
3
Suppose -5*f + 4 + 1 = 5*x, -25 = -5*f + 5*x. Let c = 35 - 18. Let t = c + -15. Solve -f*b = -t*b for b.
0
Let o(s) = -s**3 - 9*s**2 - 11*s - 95. Let q be o(-9). Let t be q/(-14) - (-32)/112. Solve -6*v + t = -6 for v.
1
Let p be (-5)/10*-6 - 1. Let h be 2/(-8) - 259/(-28). Suppose 5*d = 5*y - y + h, -4*y + 4*d - 4 = 0. Solve -p*w = -4*w + y for w.
2
Let m be 2*(-2 - 2)*154/(-616). Solve m*h = -7 - 1 for h.
-4
Suppose -4*l - 3*
|
{
"pile_set_name": "DM Mathematics"
}
|
er?
False
Is 21169039 composite?
True
Is 37041223 a prime number?
False
Is 52694351 prime?
False
Is 82926199 a prime number?
True
Is 24168047 a prime number?
True
Is 11153287 a composite number?
False
Is 205822493 composite?
True
Is 1030279 prime?
False
Is 10581197 prime?
False
Is 5854883 composite?
False
Is 297833 a composite number?
False
Is 3270149 a composite number?
True
Is 2081941 a prime number?
False
Is 282942499 a composite number?
True
Is 63992671 composite?
False
Is 325301 a composite number?
False
Is 107910827 a prime number?
False
Is 5627579 a composite number?
False
Is 90349397 a prime number?
True
Is 238197287 a composite number?
True
Is 33769689 a composite number?
True
Is 2453601 prime?
False
Is 42919753 composite?
False
Is 3340114 prime?
False
Is 2467853 a composite number?
True
Is 7258633 composite?
True
Is 6377285 a prime number?
False
Is 17574629 composite?
False
Is 5234969 a composite number?
True
Is 1072627 a composite number?
False
Is 1145471 a prime number?
False
Is 35340911 a composite number?
True
Is 17875907 a composite number?
True
Is 557600237 composite?
False
Is 9591563 a composite number?
True
Is 158939 composite?
True
Is 140468533 prime?
False
Is 1604231 a composite number?
False
Is 113749 prime?
True
Is 22563623 a prime number?
True
Is 7872413 a prime number?
True
Is 300743071 prime?
False
Is 2271151 composite?
False
Is 179539879 a prime number?
False
Is 20885615 a prime number?
False
Is 94289 a composite number?
True
Is 6542219 prime?
True
Is 4176277 a prime number?
False
Is 2482309 a prime number?
True
Is 639359597 a prime number?
True
Is 4840043 a prime number?
False
Is 780523 composite?
False
Is 7340329 a prime number?
True
Is 120808661 a composite number?
False
Is 1332083 a prime number?
False
Is 7371883 a composite number?
False
Is 195279193 prime?
True
Is 1269217 composite?
True
Is 13521778 a composite number?
True
Is 4463603 composite?
False
Is 33880199 a composite number?
False
Is 12432731 prime?
True
Is 12376913 composite?
False
Is 548813 a prime number?
False
Is 392824351 a composite number?
True
Is 2862803 a composite number?
False
Is 65487137 a prime number?
True
Is 1363393 a prime number?
True
Is 16612447 prime?
False
Is 194227 a composite number?
True
Is 54180013 a prime number?
True
Is 61004039 prime?
True
Is 13954999 prime?
True
Is 530513 a composite number?
False
Is 421451 prime?
False
Is 1834597 a composite number?
False
Is 490199113 prime?
True
Is 5530429 a composite number?
False
Is 185435 a composite number?
True
Is 82803419 a prime number?
True
Is 92518869 a composite number?
True
Is 3061703 a prime number?
True
Is 3028213 composite?
False
Is 17211241 a prime number?
True
Is 58376729 a prime number?
True
Is 34002391 a composite number?
True
Is 807181 prime?
True
Is 3538813 a composite number?
False
Is 4293749 a composite number?
False
Is 207562097 a prime number?
False
Is 37899203 a prime number?
True
Is 37629694 a composite number?
True
Is 983163154 prime?
False
Is 686738827 a composite number?
False
Is 429757343 a prime number?
True
Is 121771771 prime?
False
Is 12691501 composite?
False
Is 32924579 a prime number?
True
Is 536636959 composite?
True
Is 1463791931 a prime number?
False
Is 535273 composite?
False
Is 326883493 a prime number?
False
Is 7900349 prime?
True
Is 46797827 composite?
False
Is 10188071 a prime number?
True
Is 13373959 composite?
True
Is 81139991 a composite number?
False
Is 998497 prime?
True
Is 8717 prime?
False
Is 32410361 prime?
True
Is 246024481 a composite number?
False
Is 589497 composite?
True
Is 34486141 composite?
False
Is 320183677 a prime number?
False
Is 51223537 prime?
True
Is 12343181 composite?
True
Is 6672137 prime?
True
Is 98449343 a prime number?
True
Is 11872769 a composite number?
True
Is 2804717 prime?
True
Is 550353599 composite?
False
Is 9851837 prime?
True
Is 106778941 a prime number?
False
Is 6234607 a composite number?
True
Is 102126589 prime?
True
Is 81624482 prime?
False
Is 13566103 prime?
False
Is 9401011 prime?
False
Is 2718743 a prime number?
True
Is 172679387 prime?
False
Is 244377457 prime?
False
Is 426383635 a composite number?
True
Is 9309269 a prime number?
False
Is 21203671 prime?
True
Is 27931679 a composite number?
True
Is 35753279 composite?
False
Is 128866 composite?
True
Is 2838478 a prime number?
False
Is 16909651 a prime number?
False
Is 84385477 a composite number?
True
Is 87637453 a prime number?
True
Is 12022883 a prime number?
True
Is 17999857 prime?
False
Is 12827159 prime?
True
Is 11448839 a prime number?
True
Is 6005991 a prime number?
False
Is 3613651 composite?
True
Is 15412837 composite?
True
Is 99861 prime?
False
Is 2073163 a prime number?
True
Is 19318837 composite?
False
Is 4663157 composite?
False
Is 3482431 a prime number?
False
Is 314767 a composite number?
True
Is 306689 a composite number?
False
Is 107056907 composite?
True
Is 1357423 prime?
True
Is 56027791 a prime number?
True
Is 392879 composite?
False
Is 140665237 prime?
True
Is 69969643 prime?
False
Is 6736973 composite?
False
Is 20800667 composite?
False
Is 30976171 a composite number?
True
Is 31682531 prime?
False
Is 93705631 prime?
False
Is 137067457 a composite number?
False
Is 63476089 prime?
True
Is 9025451 prime?
True
Is 855611 a prime number?
False
Is 57159647 a composite number?
False
Is 44364281 a composite number?
True
Is 307067 a composite number?
False
Is 465407 composite?
False
Is 1487299 prime?
False
Is 13925533 a prime number?
False
Is 2998633 composite?
True
Is 425121769 a prime number?
True
Is 6292523 composite?
True
Is 1974701 prime?
True
Is 11752259 a prime number?
False
Is 2916293 composite?
False
Is 426013 a composite number?
True
Is 2001233 prime?
False
Is 1402986743 a composite number?
False
Is 53718817 a prime number?
False
Is 986237 prime?
False
Is 19753157 prime?
True
Is 1819331 a composite number?
True
Is 3315973 a composite number?
True
Is 14177411 composite?
False
Is 196696211 a composite number?
False
Is 4833443 a composite number?
False
Is 138990989 a composite number?
True
Is 5165129 composite?
True
Is 1293899 composite?
False
Is 10397003 a composite number?
False
Is 243305798 a prime number?
False
Is 14615929 a prime number?
True
Is 544800901 composite?
True
Is 2997103 prime?
False
Is 69196241 prime?
True
Is 295663 composite?
False
Is 364501 a composite number?
True
Is 1852327 a prime number?
True
Is 76333847 a composite number?
True
Is 73082123 a composite number?
False
Is 928631 a prime number?
False
Is 133902581 a prime number?
True
Is 594536095 a prime number?
False
Is 1245943 composite?
False
Is 140525279 prime?
False
Is 79838881 prime?
True
Is 45299921 composite?
False
Is 37368731 composite?
False
Is 4287755 composite?
True
Is 13496277 a composite number?
True
Is 37726021 prime?
True
Is 3099813 composite?
True
Is 23905041 prime?
False
Is 32932411 a composite number?
True
Is 4498261 a prime number?
False
Is 1728053 a composite number?
True
Is 188822449 composite?
False
Is 764681 a composite number?
True
Is 14523713 prime?
False
Is 18266671 a prime number?
True
Is 120299603 composite?
False
Is 7328593 composite?
True
Is 18219739 prime?
True
Is 68968447 prime?
False
Is 1394573 a composite number?
False
Is 35242345 composite?
True
Is 3692181 a composite number?
True
Is 132085831 prime?
False
Is 10652185 a composite number?
True
Is 10473251 prime?
True
Is 1897672253 prime?
False
Is 3879143 a composite number?
False
Is 4565443 a composite number?
False
Is 18639377 prime?
True
Is 4434499 composite?
True
Is 10617653 a prime number?
True
Is 162363 a prime number?
False
Is 70715101 composite?
False
Is 450793 prime?
False
Is 106323067 prime?
False
Is 43451 composite?
False
Is 793231557 a composite number?
True
Is 1508376673 prime?
True
Is 5098881 prime?
False
Is 1957979 a prime number?
False
Is 3116431 composite?
True
Is 20379691 composite?
False
Is 14394973 prime?
False
Is 42774311 a prime number?
True
Is 208870433 a prime number?
True
Is 4162307 a composite number?
True
Is 11117461 prime?
False
Is 308779031 a prime number?
False
Is 106110097 prime?
True
Is 391093 a prime number?
False
Is 1065481 a composite number?
True
Is 865637 a composite number?
False
Is 427512031 a prime number?
True
Is 9589991 composite?
Fal
|
{
"pile_set_name": "DM Mathematics"
}
|
ded by 16?
12
Let x = 26 - 3. Calculate the remainder when 204 is divided by x.
20
Let d(m) = m**2 + 5*m. Let w be d(-5). Let r(k) = k**3 - k + 4. Let a be r(w). Let o = 7 - a. Calculate the remainder when 7 is divided by o.
1
Let b be (-4)/3*(-3)/(-2). What is the remainder when 1/(2/152) - b is divided by (-137)/(-7) - 51/(-119)?
18
Suppose 2*r = -10, -c + r + 3*r + 24 = 0. Calculate the remainder when 11 is divided by c.
3
Let k(r) = -r**2 + 3*r - 12. Let p be k(6). What is the remainder when (p/20)/((-6)/80) is divided by 7?
6
Let r(d) = d**2 - 4*d - 24. Calculate the remainder when r(11) is divided by 9.
8
Suppose 3*g - 133 + 40 = 0. Let z = g + 1. Calculate the remainder when 62 is divided by z.
30
Calculate the remainder when 2 + -3 + (-156)/(-4) is divided by 8.
6
Let s = -39 + 55. Calculate the remainder when 2/(-5)*5*-23 is divided by s.
14
Let s(z) = -8*z**3 + 3*z**3 + 1 + 26*z**3. Suppose i + 2 = 0, -3*o - 6*i + 16 = -2*i. Calculate the remainder when s(1) is divided by o.
6
Let i = 3 + -3. Suppose -3*c + 2*c + 37 = i. Suppose -22 = -5*v + 43. What is the remainder when c is divided by v?
11
Let d = -12 + 21. Calculate the remainder when 7 is divided by 21/(-14) + d/2.
1
What is the remainder when 11 is divided by 12/(-5)*(-80)/24?
3
Let s(p) = 29*p - 7. What is the remainder when s(2) is divided by 28?
23
Let d = -103 - -120. Calculate the remainder when (-196)/(-3) + 2/3 is divided by d.
15
Let o(b) = 17*b**2 + 9*b + 4. Calculate the remainder when o(-2) is divided by 4.
2
Let p = 13 + -4. Let k(u) = -u**2 - u + 3. Let f be k(2). Let z(t) = -2*t - 3. What is the remainder when p is divided by z(f)?
0
Let h = 6 + -4. Suppose -2*n + 31 = 3*o, -h*n - 4 - 19 = -3*o. Calculate the remainder when 35 is divided by o.
8
Let f(x) = 2*x**2 + 2*x - 10. Suppose 0*l = -5*l - 20, 4*u - 8 = -5*l. What is the remainder when f(u) is divided by 26?
24
What is the remainder when 28 is divided by 30/(-4)*(16 + -18)?
13
Let v = 15 - 10. Let r = 4 - v. Calculate the remainder when 31 is divided by (16/5)/(r/(-5)).
15
Calculate the remainder when 19 is divided by (-4)/(-18)*-3 + 34/6.
4
Calculate the remainder when 98 is divided by (-4 + -1)*(-25)/5.
23
Let s be -55 - (1 + 2 - 1). Let p = -22 - s. What is the remainder when p is divided by 1/(6*(-6)/(-648))?
17
Let x(s) = 15*s**2 - s - 1. Calculate the remainder when 27 is divided by x(-1).
12
Let j(m) = -5*m - 1. Let u be j(-4). Let z = u + -12. Let p = -25 + 37. Calculate the remainder when p is divided by z.
5
Suppose -r + 2*r - 11 = 0. Let t(f) = f**3 - 12*f**2 + 12*f - 8. What is the remainder when 11 is divided by t(r)?
2
Let r(s) = 2*s**2 - 2*s. Let w be (2 + -12)*2/(-5). What is the remainder when w - 2 - (-6 + 1) is divided by r(2)?
3
Let y(f) = f**3 + 5*f**2 - 17*f - 4. Let s = -17 + 10. Let d(z) = 3*z**2 + 4*z. Calculate the remainder when d(-4) is divided by y(s).
15
What is the remainder when (-813)/(-39) - 8/(-52) is divided by ((-16)/20)/(2/(-15))?
3
Calculate the remainder when (-252)/((-5)/(-2) - 4) is divided by 58.
52
Let m(u) = 1 - 1 - 2*u + 1. Calculate the remainder when m(-6) is divided by 7.
6
Suppose -2*x + 0*x + 3*b = -38, -x - 4*b - 3 = 0. What is the remainder when 24 is divided by x?
11
Calculate the remainder when 18 is divided by (-46)/(-10) + 9/(-15).
2
Suppose -5*b = -3*p - 387, 3*b - 371 = -2*b - p. Suppose g - 4*w - 57 = 0, 3*g + 5*w = g + b. What is the remainder when g is divided by 24?
21
Let q(n) = n**3 - 7*n**2 + n - 18. Calculate the remainder when 207 is divided by q(8).
45
Let h(g) = -10*g**3 + g**2 - 1. Let x be h(-1). Suppose 3*q + 0*q - 104 = v, 3*q + 3*v = 108. Calculate the remainder when q is divided by ((-36)/x)/(12/(-40)).
11
Suppose -w - 2*i = -30, 4*i + 19 - 1 = w. What is the remainder when w is divided by 9?
8
Suppose 15 = 3*p + 5*a - 8, 3*a = 4*p - 50. Calculate the remainder when 43 is divided by p.
10
Let x = -3 + 42. What is the remainder when 19/(2/(1 + 1)) is divided by 0 - x/(-3) - 2?
8
Let f = 86 - 51. Calculate the remainder when f is divided by 6.
5
Let p = -32 - -70. Suppose -4*b - g + p = 0, 2*b - 16 = -2*g - 0*g. Let c = b - 7. What is the remainder when 7 is divided by c?
1
Let y = -2 + 10. Let t = -21 - -11. Let b = t - -13. What is the remainder when y is divided by b?
2
Let f = 14 + 22. Calculate the remainder when f is divided by 10.
6
Let o(t) = -99*t + 5. What is the remainder when o(-2) is divided by 17?
16
Let i(l) = l**2 + 2. Let j be i(3). Let k = j - 5. Calculate the remainder when ((-38)/(-1) - 4)/((-4)/(-2)) is divided by k.
5
Let l(o) = -o**3 - 3*o - 2. Let w be l(-2). Let x = w + 12. Let a(s) = s + 4. What is the remainder when x is divided by a(9)?
11
Let x(p) = 3*p + 24. Suppose t - 8 = 3. Calculate the remainder when t is divided by x(-7).
2
Suppose -z + 22 = -18. Calculate the remainder when 197 is divided by z.
37
Let i = 90 - 75. Calculate the remainder when 56 is divided by i.
11
Let u(m) = m**3 + 8*m**2 + 7*m - 2. Calculate the remainder when u(-6) is divided by 15.
13
Suppose -4*p = -5*g - 35, -p + 5*g + 0*g = 10. Suppose 0 = 13*c - 14*c + 28. What is the remainder when c is divided by p?
13
Let d be (-8)/(-10)*5/2. What is the remainder when 43 is divided by (36/8 + 1)*d?
10
Let w be (-2 + 3)/(1/4). Let h(a) = -5*a + a + 7 + a**2 - 2. What is the remainder when h(w) is divided by 3?
2
Let o = -17 - -28. Let n(h) = -2*h**3 + 10*h**2 - h + 11. Calculate the remainder when o is divided by n(5).
5
Let v = 39 - 34. Calculate the remainder when 12 is divided by v.
2
Suppose -7 - 1 = -l. Let w(o) = o - 2. Calculate the remainder when w(l) is divided by 3.
0
Suppose -4*g + 256 = -4*j, 0 = -j - 2*g - 45 - 13. Let u = -21 - j. Let q = -1 + 15. Calculate the remainder when u is divided by q.
13
Suppose -2*s - a = -40, 106 = 5*s - 0*a + a. Let x = 87 - s. What is the remainder when x is divided by 22?
21
Let c(u) = u + 3. Let r be c(-3). Suppose r = 2*m + 5 - 29. What is the remainder when 34 is divided by m?
10
Suppose 0 = o + 7 - 24. What is the remainder when o is divided by 4?
1
Suppose 0 = -p + 4 + 5. Let a(m) = m**3 - m**2 + 4. Let z(f) = f**2 + 14*f - 32. Let w be z(-16). Calculate the remainder when p is divided by a(w).
1
Let h(g) = -g**2 - 2*g + 9. Let l be h(0). Suppose 5*p - 4*a - 6 = 0, -l = -p - 3*p - a. Calculate the remainder when 7 is divided by p.
1
Suppose 4*y - 2*y + 2*c - 124 = 0, 5*y + c = 298. What is the remainder when y is divided by 31?
28
Suppose -4*s - 5*t + 307 = -8, s + t - 78 = 0. Suppose 2*c - 55 = i, -2*i + 0*i - 6 = 0. Calculate the remainder when s is divided by c.
23
Let w = -9 - -21. Let u = 244 - 187. Calculate the remainder when u is divided by w.
9
Suppose -56 = -3*i - o, -i - 2*o + 4*o = -21. Suppose 2*b = 2*s + 12, 0 = 2*b + 2*s + 3*s - 19. What is the remainder when i is divided by b?
5
Let c = 50 + -23. What is the remainder when c is divided by 10?
7
Let d(p) = p**2 + 2*p - p + 5*p - 4*p - 5. Let q be d(-4). Suppose 84 = q*y + y. Calculate the remainder when 62 is divided by y.
20
Let m = -62 - -95. Suppose -2*r = 3*k - 76, r + 3 = 5. Suppose a + a - k = 0. Calculate the remainder when m is divided by a.
9
Calculate the remainder when ((-144)/45)/((-2)/5) is divided by 3.
2
Let f(s) = s**2 - 2*s - 3. What is the remainder when ((-154)/33)/(24/(-9) + 2) is divided by f(4)?
2
Suppose 2*q - 1 = 75. Suppose u = -0 + 4, u = 3*l - q. What is the remainder when 55 is divided by l?
13
Let n = -40 + 49. Calculate the remainder when 43 is divided by n.
7
Let h(r) = 14*r**2 + 4*r - 3. Let u be (-2)/(-1 - (-3)/2). Let p be h(u). Let x = p - 144. Calculate the remainder when x is divided by 21.
19
Calculate the remainder when 4 is divided by (0 + 4/(-3))*(-6)/4.
0
Suppose -5 - 11 = -2*l. Calculate the remainder when 21 is divided by l.
5
Suppose 35 - 8 = 9*j. Calculate the remainder when j is divided by 3.
0
Suppose 4*j - 42 = j. What is the remainder when 40 is divided by j?
12
Let t(u) = -u**3 - 8*u**2 - 4*u - 15. Calculate the remainder when t(-8) is divided by 9.
8
Suppose 21 = 3*r - 3*y + 6, -2*y = 4. Suppose 4*d - r*d - 17 = 4*j, -3 = d. Calculate the remainder when 2 is divided by -2*1 - (j - -1).
0
Let j be (-271)/(-7) + (-8)/(-28). Let p = j - 19. Calculate the remainder when
|
{
"pile_set_name": "DM Mathematics"
}
|
et j = 147/374 - -3/187. Is j bigger than -1?
True
Let r be (14/(-385))/((-34)/(-10)). Which is smaller: -1 or r?
-1
Let u be -1 + (-1 - 1) + 1. Let k be 33/u*8/12. Is -12 greater than k?
False
Let l = -73.3 + 62.3. Which is smaller: -0.09 or l?
l
Let s(y) = -y**3 - 5*y**2 - 4*y - 17. Let d be s(-5). Suppose 30 = 7*n + d*n. Let r(o) = o**2 + 7*o + 9. Let h be r(-6). Is n equal to h?
True
Let i(x) = 7*x - 6. Let f be i(2). Suppose 2*g = f - 0. Is 4 at most g?
True
Let g = 150 + -161. Is g less than or equal to -3?
True
Let g be ((-54)/30)/(-2 - -33). Which is bigger: g or 1?
1
Let v(r) = -r**2 + 8*r - 14. Let f be (-204)/(-33) + 10/(-55). Let k be v(f). Which is smaller: -9/10 or k?
k
Let t = 13.93 + -14. Let o = -4 + 5. Is o > t?
True
Suppose -5*c + 5*s = 10 - 0, 5*c = -4*s + 17. Let d be c/2 - 1/2. Let z be 2 - ((-175)/80 - -4). Do z and d have the same value?
False
Suppose 0 = 133*i - 119*i - 56. Which is bigger: 108/29 or i?
i
Let o = 24 - 26.84. Let m = 0.84 + o. Is m < -0.7?
True
Suppose -r - 2 = -3*r. Let w(o) = -o + 1. Let k be w(2). Let d be r*(5 + k)/1. Which is smaller: 5 or d?
d
Let z(v) = 7*v + 21. Let t be z(-1). Which is smaller: t or 10?
10
Let v(t) = 10*t - 70. Let u be v(7). Let w = 11/2 - 6. Which is greater: w or u?
u
Let m = 30 - 27. Let g be -3 - (-1 + m)*-1. Is -3 bigger than g?
False
Let y(m) = 8*m**2 + 2*m - 40 - m**3 + 3*m + 3*m + 46. Let x be y(9). Let f be (-3 - (-5 - x))*1. Which is bigger: -0.5 or f?
-0.5
Suppose 0 = -3*l - 5*r - 23, -4*l + 4*r - 3*r = 0. Let k = -44 + 175/4. Is l > k?
False
Let f = -183879434/492855 + -26/44805. Let i = f - -372. Which is smaller: i or 0?
i
Suppose 0 = -2*y - 2*k + 2 + 2, -k = 5. Suppose -34 = -5*n + 16. Let h = n - y. Which is greater: -0.4 or h?
h
Let q(m) = m**2 - 16*m + 116. Let h be q(8). Which is smaller: h or 37?
37
Let w(z) = 18*z + 29*z - 51*z + 17 - 2*z**2. Let y be w(5). Do y and -52 have the same value?
False
Let y(o) = 4*o - 1. Let s(u) = -17*u + 5. Let l(j) = -2*s(j) - 9*y(j). Let k be l(-3). Let n be (-2)/(k/1 - 3). Is n <= -1?
True
Let d(t) = -t**2 - 6*t - 5. Let l be d(-4). Suppose -i = 0, 4*p + 4*i = 3 + 1. Let x(s) = 5*s. Let f be x(p). Which is smaller: f or l?
l
Let l = 26 - 15. Let g = -8 + l. Suppose g*j = 6*j - 27. Are 10 and j non-equal?
True
Let l = 671 + -43617/65. Let b be -3 - (-2 + -2 + (-16)/(-8)). Is b at least as big as l?
False
Suppose -7*n + n = -12. Suppose -n*l = 2 - 26. Is l bigger than 13?
False
Let o = 2.82 + 1.13. Let r = 0.03 - -0.02. Let q = o + r. Which is greater: q or -2?
q
Let a = 1/1315 + -32882/9205. Which is smaller: -4 or a?
-4
Let r(m) = m**2 + 20*m. Let n be r(-21). Let g be ((-1)/(-2))/(2/84). Is g less than or equal to n?
True
Let z = 13 + -25. Let s = -12.1 + 12.1. Which is smaller: z or s?
z
Let y(n) = 6*n - 63. Let m be y(10). Let t(a) = a**3 - 5*a**2 - a + 4. Let p be t(5). Let h = p - 2. Is h greater than or equal to m?
True
Let x = -230 + 243. Which is bigger: 2/3 or x?
x
Let c(m) = -6*m - 10. Let d be c(-7). Let s be 6/(-27) + d/(-18). Let t be 2/(-2) - 3/(-1 - -2). Is s >= t?
True
Let l be 4*(-1)/2*-10*1. Let c be ((-6)/105)/(4/l). Which is greater: c or -1?
c
Suppose 2 = -5*p - 3*g + 6, -p + 4*g + 10 = 0. Let s(w) = -w**3 + 2*w**2 - 2. Let x be s(p). Let q be 8/10*(-50)/130. Which is smaller: q or x?
x
Let s be 77/56 + 50/16 + -3. Does s = 3?
False
Suppose 5*r = -3*a + 3, a + 2*a = r - 15. Let l be ((-70)/30)/(r/27). Which is smaller: l or -22?
-22
Let a = -45/22 + 203/110. Is 0.6 > a?
True
Let m = -266 + 265. Are m and -8/107 equal?
False
Let u = -244 - -474. Suppose 14*m = 4*m - u. Which is bigger: 3 or m?
3
Let g = -238.9 + 180. Is 0.1 <= g?
False
Let h = 12.82 + -0.42. Let n = 12 - h. Is n > 12?
False
Suppose k - 25 = -5*p, 7*p = 2*p - 5*k + 5. Let b(u) = 58*u**2 - 3 + u**3 - 58*u**2. Let c be b(2). Is c less than p?
True
Suppose 5*i - 85 = 3*p - 2, -4*p = -2*i + 92. Let r be 4/48 - -2*3/36. Which is smaller: p or r?
p
Let p be 6/((-18)/15) + (-190)/(-30). Which is smaller: p or -11?
-11
Suppose 5*b + 3*v + 3 = 0, 4*b - 3*v + 7*v = -4. Is b equal to -4/527?
False
Let g be (6/(-42))/((-5 - -9)/(-8)). Which is greater: g or -730?
g
Let v be 1/8*4 + 3/2. Is v != 1/9?
True
Suppose -2407*y = -2411*y + 4. Which is smaller: y or 1/1101?
1/1101
Let t = 674 - 861. Which is smaller: t or -190?
-190
Let a be (-145)/435 + (-4)/6. Which is smaller: a or -14.83?
-14.83
Let f = 48 + -48.2. Let n = 0.07 + -0.37. Let t = n - f. Which is smaller: t or 5?
t
Suppose 3*f - g - 19 = 0, -11 = -3*f + 2*g + 6. Suppose -n - t + 7 = 0, 3*n = f*t - 3*t + 21. Suppose -n*r = -3*r. Which is smaller: r or 7?
r
Let q(i) = -3*i**3 + 5*i**2 - 25*i - 8. Let k be q(5). Which is bigger: -385 or k?
k
Let p = -12 - -14. Suppose -p*t - 16 = -k - 0*t, 4*k - 64 = -t. Let u be (-5)/(-6*12/k). Which is greater: 0 or u?
u
Suppose 15*y + 0*y = 45. Let m be y - 3/((-9)/(-12)). Is m greater than -1?
False
Let q be ((-6)/18)/((-1)/18). Suppose -2*m + d - 5*d = -q, d = -1. Which is greater: 34/9 or m?
m
Let h = -111187 + 1447422/13. Let r be 34*((-14)/(-4) - -1). Let k = r - h. Which is greater: k or 1?
1
Let t(m) = -m - 14. Let w be t(0). Suppose 38 = -3*d - f, -3*f + 11 = -2*d - 7. Is w smaller than d?
True
Let l be (-1 + 10/4)*(-448)/(-2898). Is -1 <= l?
True
Let g(l) = 79*l + 203. Let d be g(-20). Which is greater: d or -1378?
d
Let v(j) = -j**2 - j - 33. Let y be v(0). Let d be 6/(2/(-11) + 60/y). Let p(a) = a**3 + 3*a**2 - 2*a + 3. Let h be p(-4). Which is greater: d or h?
d
Let s be -2*7/(7/4). Let o = s + 46. Which is smaller: o or 37?
37
Let k be 36/10 + (-2)/(-5). Suppose -4*g + 3*g + 15 = 0. Let h be (-28)/(-70)*g/k. Which is smaller: -1/5 or h?
-1/5
Let i(t) = t**3 - 10*t**2 + 14*t - 45. Let o be i(9). Let m = -16/21 - -2/21. Which is smaller: m or o?
m
Let q = 74 + -75. Which is greater: -2/9 or q?
-2/9
Let b = -57 + 71. Let f be (-5004)/126 + (-4)/b. Is -41 less than or equal to f?
True
Let a = 148 + -91. Is a less than 3?
False
Let d be (-3)/166*(12 + -14). Is d equal to 1?
False
Let t(l) = 2*l**2 + 12 - 3 - 3*l**2 - 12*l + 11. Let r be t(-14). Which is smaller: -13/2 or r?
r
Let v be (-6)/14 + (-377)/2093. Is 2 <= v?
False
Let p(r) = r**3 - r**2 - 5*r + 3. Let z be p(3). Suppose -2*l - 3*n = -9, -z*n + n + 21 = 4*l. Let w be 4/(-2)*l/42. Is w less than or equal to 1?
True
Suppose 7*p - l - 252 = 4*p, -176 = -2*p - 2*l. Let x be p/(-100) + (-2)/(-8). Let w = -4 - -3. Do w and x have the same value?
False
Let q = -58 - -61. Suppose 7*w = q*w + 184. Is 46 < w?
False
Let h = -0.593 - 5.407. Which is greater: h or -7/2?
-7/2
Let t = -7.5 + -1.5. Let d = 11.4 + -1.4. Let y = d + t. Which is greater: y or -1?
y
Let r = -25 - -27. Are r and 9 nonequal?
True
Let m = -3/128 - 187/2944. Which is smaller: m or -18?
-18
Let i be ((-6)/(-2))/(15/(-20)). Let o(k) = -k - 4. Let g be o(i). Suppose -2*m + u + 12 = -0*u, g = -5*m + 5*u + 20. Is m bigger than 7?
True
Suppose -8*v = -54 - 2. Suppose -v*s - 21 = -0*s. Which is greater: -11/5 or s?
-11/5
Let l = -603289597 + 19246144719761/31902. Let i = l + 2/1227. Is i smaller than 0?
True
Suppose 8 = -2*j + 3*t, j + 5*t = 4*j + 10. Let x be j/(-15)*(-15)/(-2575). Is 0 at least as big as x?
False
Let i(w) = -w**3 + 7*w**2 - 5*w - 6. Let r be i(5). Let l = -359 - -377. Is l greater than or equal to r?
False
Let o be 5/(-15)*156/34. Let v = 219/68 - o. Suppose 65*a - 112 = 37*a. Which is bigger: v or a?
v
Let x = -1.6 + 1.66. Let g = 3.7 - 3.5. Which is smaller: g or x?
x
Let o = 11204611 - 9131756468/815. Let w = -6/163 + o. Is 1 at most as big as w?
True
Let t be ((-4)/(-64)*6)/((-48)/14048). Is -111 at most as big as t?
True
Let o(q) = -q**3 - 11*q**2 - 11*q - 3. Let d be o(-7). Is d at least -120?
False
Let n = 13 - 25. Let k = 859.5 + -859. Is n equal to k?
False
Let i = -3.33 - -6.33. Which is smaller: 20 or i?
i
Let j = -0.1 + 0. Let c be 2/(-1)*-2*(-1)/20. Is c greater than j?
False
Let w = -20.74 + 9.74. Are 1.8 and w nonequal?
True
Suppose -5*l + 0*b + 8 = b, 5*b = 4*l - 18. Suppose -n - l = -1. Is -2/7 at least n?
True
Let s be ((-1)/9)/((-615)/(-45) + -14). Which is smaller: s or 67?
s
Let f(s) = -s + 4. Let m(r) = -2*r + 12. Let x(t) = 11*f(t) - 4*m(t). Let y be x(-2). Suppose 0*w = y*w + 2*k + 14, -3*w
|
{
"pile_set_name": "DM Mathematics"
}
|
s**4 + 4*s**4 - 5*s + 9 to the form y*s + f*s**2 + q + v*s**3 + r*s**4 and give r.
1
Rearrange 10 - 1628*p**2 + 4877*p**2 - 1622*p**2 - 1622*p**2 - 14*p**4 - p - p**4 to the form z*p + j + x*p**3 + h*p**4 + t*p**2 and give j.
10
Rearrange (0 - 45 - 7)*(2*w - 3*w - w) - 29 + 68 - 18 - 85*w - 26 to g*w + n and give n.
-5
Rearrange (-4 - 3 - 1)*(3 + 4 + 6)*(0*l - 6*l - 2*l) to the form n*l + c and give n.
832
Rearrange -18422*i - 4490*i + 1 - 9176*i to l + o*i and give o.
-32088
Rearrange 102638*g**2 - 2*g**4 - 205277*g**2 - 17*g + g**3 - 2 + 102606*g**2 to m*g + f*g**3 + w + q*g**4 + c*g**2 and give f.
1
Rearrange -k**3 - k + k + (13 - 5 - 5)*(14 - 10 - 7)*(-1 + 1 - 4)*(4*k + 0*k - 3*k)*(4*k**2 + 2*k**2 - 5*k**2) to the form u*k**3 + p*k + v + s*k**2 and give u.
35
Rearrange 4*r + 10*r - 20 + 21 + 3*r - 48 to x*r + v and give v.
-47
Rearrange 4700*u - 5033*u + 5 - 5 + 8049*u to the form b + j*u and give j.
7716
Express 5*k + 8 - 11*k**2 - 1 + 5*k**3 - 7*k**4 - 8*k**3 - 6 + 4*k**3 in the form y*k**2 + j*k + a + w*k**3 + t*k**4 and give j.
5
Rearrange 2585*l + l**2 - 2*l**2 - 663*l + 958*l + 2547*l to the form z + v*l + u*l**2 and give u.
-1
Rearrange 5939*i**2 - 27*i**3 - 5868*i**2 + 5*i**3 to the form u*i**3 + h*i + g*i**2 + m and give g.
71
Express -739*g**2 + 1002*g**2 + 2816*g**2 as m + v*g + x*g**2 and give x.
3079
Express -2*v**2 - 10723 - 10481 - 8*v + 21471 in the form c + n*v + f*v**2 and give n.
-8
Rearrange (-40*a - 57*a - 55*a)*(-8 + 15 + 42) + (a - 1 + 1)*(1 - 2 + 2) to the form i*a + c and give i.
-7447
Rearrange -7339*b - 224 + 653 - 429 to y + h*b and give h.
-7339
Express s + 249*s**2 - 90 + 252*s**2 + 254*s**2 - 756*s**2 as y + z*s**2 + l*s and give z.
-1
Express -359*z**3 + z**2 + 578*z**3 + 4 + 1 - 302*z**3 in the form m + q*z**3 + j*z + w*z**2 and give j.
0
Rearrange -22 - 2*o + 22 + (-4 + 3 + 2)*(4*o + 4*o - 6*o) + 248*o - 3828 + 3828 + (-1 + 1 + 1)*(3*o + 4*o - 5*o) to the form c*o + x and give c.
250
Rearrange -10 - 6 - 8*p**2 + 7 - 16*p**2 + 21*p to the form i*p + r + w*p**2 and give r.
-9
Express -28993 + 2385*z**2 + 57987 - 28994 as s*z**2 + h + m*z and give s.
2385
Rearrange 135*k**4 - 24*k**3 - 7*k**2 + 3*k**2 - 153*k - 1 + 6*k**2 + 155*k to d + a*k**4 + x*k**2 + u*k**3 + g*k and give u.
-24
Express 1708 - 3424 + 4342*p + 1716 - 21132*p in the form t*p + g and give t.
-16790
Express 59*r - 21*r - 159 - 35*r + (3 - 6 + 1)*(r - 4*r + r) + 0*r + r - 3*r in the form u + w*r and give w.
5
Express (-3108030 + 3108030 - 7105*v)*(0*v + v**3 + 0*v) in the form g*v**2 + n*v + x + z*v**4 + h*v**3 and give z.
-7105
Express 6340*q**2 - 1 + 2968*q + 0 - 3173*q**2 - 3168*q**2 in the form j*q**2 + v + y*q and give j.
-1
Express 1046*v**2 + 1033*v**2 + 35 - 3068*v**2 + 1043*v**2 in the form s*v**2 + f*v + c and give f.
0
Express (-6 + 1 + 2)*(-5 + 2 + 4)*(-1 + 1 - 1)*(4*g - g - 2*g)*(-9 - 2*g + 9)*(-1 + 5 - 3) as p + z*g + l*g**2 and give l.
-6
Rearrange 5566*a**2 - 973*a**2 + 6*a - 6*a to the form p*a + n*a**2 + u and give n.
4593
Express -41 + 7 + 2289*t + 5 + 28 in the form q*t + i and give q.
2289
Express 0 - 546345*a - 2*a**4 + 546347*a + 4*a**2 + 2 as w + h*a + r*a**2 + s*a**4 + l*a**3 and give h.
2
Rearrange 40832*q - 124418 + 248839 - 124421 to the form d + t*q and give t.
40832
Express (2 - 2 - 2*y)*(2 + 1 - 2)*(-3 + 2 + 0)*((2 + 2 - 2)*(-322 - 104 + 99) - 1 - 3 + 3) in the form b + o*y and give o.
-1310
Express -2*s - 3*s + 3*s + s - s + s - s + 5 - 5 + (-1 - 2*s + 1)*(-2 + 2 + 2) - 3840*s - 3310*s + 4347*s in the form h*s + y and give h.
-2809
Express 2*p**4 + 0*p**4 - 4*p**4 - 38 + 4*p**4 - 4224*p**3 + 36 in the form w*p**2 + h*p**3 + f + s*p**4 + o*p and give f.
-2
Rearrange (-2562 + 2562 - 63*v)*(6*v - 2 - 3*v + 0) + v**2 + 4*v**2 + 0*v**2 to the form a*v + p*v**2 + h and give a.
126
Express -1293*q - 642*q - 1035*q in the form p + v*q and give v.
-2970
Express 7*c**2 - c**3 - 4525*c**4 - 811*c**4 + 39 - 5*c**2 - 41 as x*c**3 + q*c + f*c**4 + i + v*c**2 and give q.
0
Express -30*b**2 - 2 + 13*b**2 - 2*b**3 - 217*b**4 - 29*b**2 - 3*b**2 + 216*b**4 as j*b + q*b**3 + w + t*b**4 + s*b**2 and give s.
-49
Rearrange (6 - 3*x - 6 + 0 - x + 0 + (-3 + 1 + 0)*(2*x - 4*x + 3*x) + 2 - 2 - 3*x)*(-1521 + 763 + 791)*(2*x - 2*x - 2*x) to t*x + r*x**2 + p and give r.
594
Rearrange 66*g - 28 - 45 - 63*g - 2 to v*g + u and give u.
-75
Rearrange ((0 + 0 + 2*h)*(-50 + 10*h + 50) - 2*h**2 + 0*h**2 + 4*h**2)*(9*h + 10*h - 25*h)*(41 - 2*h - 41) to v*h**3 + u*h**4 + z*h**2 + c*h + w and give u.
264
Express -71 + 26*i**4 + 71 + (11 + 4 + 2)*(3*i + 2 - 2)*(-2*i**3 - 4*i**2 + 4*i**2) in the form y*i**3 + z*i**4 + f*i**2 + m + d*i and give z.
-76
Rearrange 3 - 82*j**2 + 159*j**2 + 22*j - 1 - 13*j**2 - 3 to the form v + p*j + n*j**2 and give v.
-1
Express -148*y + 20 - 148*y - 137*y + 435*y as j + b*y and give j.
20
Rearrange (-c**3 + 0*c**3 + 13*c**3)*(-29*c - 71*c + 17*c)*(-1 - 1 + 3) to the form m*c**2 + k + f*c + r*c**3 + h*c**4 and give h.
-996
Rearrange (-63*u + 278*u - 48*u)*((1 + 2*u - 1)*(2 - 2 + 2*u) + 0*u**2 - 2*u**2 + 3*u**2 + 0 + 4*u**2 + 0) to h*u**3 + b*u**2 + d + y*u and give d.
0
Rearrange (4017*u**2 - 12479*u + 24945*u - 12466*u)*(1 - 3 + 0) to the form f + s*u + k*u**2 and give k.
-8034
Rearrange 84 - 5*l - 220*l**2 + 80 + 97*l**2 + 120*l**2 to the form o*l + v + g*l**2 and give v.
164
Rearrange (3 + d - 3)*(-2 - 2 + 6) + 5*d + d - 3*d + 2*d + 2*d + 4*d + (-2 + 5 + 4)*(0*d - 4*d + 3*d) to g + r*d and give r.
6
Rearrange -33 + 4*f + 16 - 1 + 59 to the form g*f + m and give g.
4
Rearrange (4*z**2 - 2*z**2 + z**2)*(2 + 1 - 5) + 1780394 - 835*z - 1780399 - z**2 + 109*z to the form b + k*z**2 + s*z and give s.
-726
Rearrange 21*a**3 - 29*a**3 - 26*a + 19*a - 82*a**3 - 32*a**3 + 1 to m*a**3 + g*a**2 + j + c*a and give m.
-122
Rearrange 4*k + 0*k - 5*k - 1257*k**3 - k + 1282*k**3 to the form u*k + x*k**3 + m*k**2 + j and give j.
0
Express (127 - 127 + 15*y)*(3*y - 6*y + y) + (-2*y - y - y + (0*y + 0*y - 3*y)*(-1 - 5 + 1))*(7*y + 0*y - 4*y) in the form a + w*y + t*y**2 and give t.
3
Rearrange (25 + 15 - 57 - 3922*k + 19)*(-2*k**3 + k**3 - k**3) to t*k**3 + d + h*k + v*k**2 + c*k**4 and give c.
7844
Rearrange (2 + 3 - 3)*(-1005991 + 3*t**2 + 6899*t + 2011987 - 1005996) to the form n*t + a + h*t**2 and give n.
13798
Express 2336*q - 1484*q - 8828*q in the form a*q + x and give a.
-7976
Rearrange -24*s**3 - 105*s**3 - 3*s**2 + 4*s**2 - 248*s**3 + 52*s**3 to z*s**3 + f*s**2 + g*s + i and give f.
1
Express 4*a**2 + 1100061*a**3 - 3 + a + 1 - 1100106*a**3 as j*a + h + b*a**2 + q*a**3 and give j.
1
Express 567*t**4 - 279*t**4 - 318*t**4 + t**3 + 22 in the form n*t**4 + f + b*t**2 + z*t + c*t**3 and give n.
-30
Express 9 - 46 - 22*k + 15*k + 33*k - 23 in the form x*k + p and give p.
-60
Rearrange 5 - r**3 + 900*r**2 + 742*r**2 - 1653*r**2 - r to o*r**3 + n + k*r + c*r**2 and give k.
-1
Express 47438*n + 44552*n + 1 - 106114*n as p*n + w and give p.
-14124
Rearrange -y**2 - 67*y + 283*y**3 + 185*y - 2 - 58*y - 67*y**3 - 58*y to j + k*y + g*y**2 + l*y**3 and give g.
-1
Rearrange 9 - o**2 - o**3 + 7*o**4 - 6*o**2 - 2 - 14 + o**2 to y + t*o**3 + m*o + s*o**2 + p*o**4 and give y.
-7
Express -320*y**4 + 4*y**4 - 3*y**3 + 2*y**2 + 1 - 8*y**3 + 10*y**3 - y**3 as f + a*y**4 + s*y + x*y**2 + u*y**3 and give f.
1
Rearrange (0 - 8*v + 0)*(-21*v**2 + 5*v**2 - 42*v + 19*v**2) to n*v**3 + p + i*v + d*v**2 and give d.
336
Rearrange v - 73 + 351 - 91 - 122 + 3*v to g + u*v and give g.
65
Express -7*q**3 - 3694*q**2 + 2 + 1883*q**2 + 2*q**4 + 1923*q**2 as j + y*q**2 + o*q**3 + k*q + h*q**4 and give o.
-7
Rearrange -30346*g**3 + 15173*g**3 + 8*g + 15170*g**3 - 5*g**2 to o + b*g + t*g**3 + d*g**2 and give d.
-5
Rearrange (3 - 2*o**3 - 3)*(1 + 0 + 0) - 937*o**3 - 2455*o**3 - 994*o**3 to q*o**2 + g*o + k + c*o**3 and give c.
-4388
Rearrange 345*d + 3916*d - 522*d + 1628*d + (4*d + 0*d - 2*d)*(-1 + 1 + 1) to the form i + k*d and give k.
5369
Express (0 + 7 - 1)*(-3*z + 2*z - z)*(-1810*z**3 + 882*z**3 + 891*z**3) in the form q*z**2 + a*z + l*z**3 + t*z**4 + f and give t.
444
Express 63*i + 2*i + 4*i**3 - 405*i**2 - 4*i - 3*i**3 - 59*i in the form k*i**3 + w*i**2 + l*i + f and give l.
2
Rearrange -178*p + 7*p + 2*p + 7*p**3 + 3 to n*p**2 + f*p**3 + s + v*p and give v.
|
{
"pile_set_name": "DM Mathematics"
}
|
is divided by (-10)/r*1*33?
47
Suppose 2*b + 5*c - 142 = 0, 130*b - 135*b - 3*c + 355 = 0. Calculate the remainder when 917 is divided by b.
65
Suppose -3*c - 17*k = -12*k + 5, -5*c - 3*k + 13 = 0. Suppose -5*n - 4*h + 443 = 0, 108 + 180 = 3*n - c*h. What is the remainder when n is divided by 33?
25
Suppose j + m - 961 = 0, 0 = j - 3*m - 283 - 682. Calculate the remainder when j is divided by 39.
26
Let c be (112/10 - 2)*(-393 + 388). Let b = 83 + 4. Let r = b + c. What is the remainder when 326 is divided by r?
39
Let d = -172 - -107. Let b = d - -110. Suppose 3*r = 3*m + 33, -4*m = 5*r - 0*m - 64. What is the remainder when b is divided by r?
9
Let x = -38 - -53. Let t be (-2 - x/(-9))*-114. Let b = t - 18. What is the remainder when b is divided by 12?
8
Let j(g) = 3*g**2 + 78*g + 4240. What is the remainder when j(-36) is divided by 34?
16
Let k = -360 + 529. Let v = k + -71. Let j = 134 - v. What is the remainder when j is divided by 21?
15
Let g be 2*66 + 16/(-8). Suppose 5*i = -5*p + i + 7, i + 2 = 0. Suppose p*b - g = -2*b. Calculate the remainder when 100 is divided by b.
22
Suppose 2*p = -2*x + 24, 141 = -x + 4*p + 148. Calculate the remainder when 297 is divided by x.
0
Let g(a) be the second derivative of 5*a**4/6 - a**3/6 + 2*a**2 - 37*a. What is the remainder when g(5) is divided by 21?
18
Let o(i) = 950 - 472 + i**2 - 456 - 23*i. Let w = -92 - -156. Calculate the remainder when w is divided by o(23).
20
Let j = 86 - 83. Suppose 2*f + 7 - 30 = -j*n, f + n - 14 = 0. Calculate the remainder when f is divided by 15.
4
Suppose 0 = 7*r - 499 - 873. Let n = 230 - r. Calculate the remainder when 305 is divided by n.
33
Let p(g) = g**3 + 14*g**2 + 15*g + 44. Calculate the remainder when p(-9) is divided by 12.
2
Let f(j) = j**2 + 4*j + 6. Let g(a) be the second derivative of a**4/6 + 5*a**3 + 149*a**2/2 - 5*a - 1. What is the remainder when g(-9) is divided by f(-4)?
5
Let q = -7412 + 7922. Calculate the remainder when q is divided by 73.
72
Let w be (-150)/(-9) + -4 - (-4)/12. Suppose -w*y = -8*y + 2150. Let p = y - -686. Calculate the remainder when p is divided by 65.
61
Let v = 20722 + -20633. Calculate the remainder when v is divided by 87.
2
Let x = -92 + 238. Let t = -125 + x. What is the remainder when t is divided by 7?
0
Suppose -75 = -19*o - 18. Suppose -2*f + o*v = -7*f + 153, 5 = 5*v. Calculate the remainder when 78 is divided by f.
18
Let r(o) = -9*o**3 + 2*o**2 - 3*o - 4. Let s be r(-1). Let v(u) = -u**3 + 10*u**2 + 11*u - 27. Calculate the remainder when v(s) is divided by 12.
11
Let n = -5247 - -5287. Calculate the remainder when 722 is divided by n.
2
Calculate the remainder when (-36104)/(-244) - 108/(-3294) is divided by 28.
8
Suppose 186*f = 9372 + 80466. Calculate the remainder when f is divided by 38.
27
Let f = 84581 + -84504. Suppose -3*y = 2*m - 84, 0*m - 5*m + 2*y = -229. What is the remainder when f is divided by m?
32
Let z = -1255 - -1780. Let w = z - 142. Suppose q + 0*q = -4*l + 298, -5*l + w = -4*q. Calculate the remainder when l is divided by 39.
36
Let s be 27778/989 - 2/23. Suppose s*m - 1127 = 861. What is the remainder when 138 is divided by m?
67
Suppose v - 2 = 2*q - 10, 0 = 4*v - 2*q + 8. Let w be 44/(-176) - (1/(-4) + v). Suppose 34 = b - w. Calculate the remainder when 65 is divided by b.
31
Suppose 0 = 51*j + 28*j - 8216. What is the remainder when 1131 is divided by j?
91
Suppose -1051*u = -u - 96600. Suppose 78 = 3*m + 4*w - 172, -4*m + w = -365. Let k = m - 58. What is the remainder when u is divided by k?
28
Suppose 25*p = -3*z + 19*p + 2280, 3016 = 4*z + 4*p. What is the remainder when z is divided by 75?
73
Suppose 67 = 639*n - 637*n + b, -3*n + 2*b + 118 = 0. What is the remainder when 109 is divided by n?
1
Let m = -24098 - -24473. Calculate the remainder when m is divided by 96.
87
What is the remainder when 545 is divided by 302/7 + (-27 - 4324/(-161))?
29
Let b(n) = -n**3 + 4*n**2 + 3*n - 6. Let k be b(4). Suppose k*w - 215 = w. Calculate the remainder when w is divided by 3*9 - ((-5540)/(-2216))/((-2)/(-4)).
21
Suppose -4*x - 5*a + 3251 = 0, 13*x - 11*x - a = 1615. Calculate the remainder when x is divided by 200.
9
Suppose -804*a = -807*a + 3102. What is the remainder when a is divided by 103?
4
Let m(g) = 28*g + 736. What is the remainder when 646 is divided by m(-25)?
34
Suppose 4*i + 4*p = 1100, 2333 - 118 = 8*i + 5*p. What is the remainder when 880 is divided by i?
40
Let z = -66 + 72. Let x be (38/z - 8/(-12))*43. Let s = x - 178. What is the remainder when s is divided by 18?
15
Let u(i) = 19*i**2 - 5*i**3 - 4*i**3 + 13 - 26*i**2 - i + 7*i**3. Calculate the remainder when u(-4) is divided by 12.
9
Calculate the remainder when 116 + (0 - -1)/(9/(-27)) is divided by 33.
14
Suppose 4*a + 5*y - 42 = 2, -2*y = 4*a - 32. Suppose -117*j = -414 - 319 - 4766. What is the remainder when j is divided by -1*6*(-16)/a?
15
Suppose 34 = -912336*n + 912338*n. What is the remainder when 1006/10 - (-2)/5 is divided by n?
16
Let c(m) = -211*m + 2413. What is the remainder when 309 is divided by c(11)?
33
Suppose 285 = -5*w + u + 1423, -4*w = -u - 910. What is the remainder when w/2 + (-1 - 8) + 6 is divided by 3?
0
Let n = 71 - -52. Let t = -22 + 64. Calculate the remainder when n is divided by t.
39
Let d(f) = -80*f - 12. Let a(o) = -27*o - 4. Let h(y) = -17*a(y) + 6*d(y). Let r be h(-3). Let m = -56 + r. What is the remainder when 9 is divided by m?
0
Let f = 34099 + -32766. Calculate the remainder when f is divided by 439.
16
Let o = 331 + -319. Suppose o = 9*s - 618. What is the remainder when s is divided by 20?
10
Let k = 27880 + -27395. What is the remainder when k is divided by 230?
25
Let o(b) = 2*b**3 - 4*b**2 - b + 5. Let l be o(3). Suppose -l*t = 71 - 191. What is the remainder when 1/(92/(-96) + 1) is divided by t?
0
Suppose 0 = 5*p + 5*n - 2060, 83*n - 80*n + 2116 = 5*p. What is the remainder when p is divided by 112?
83
Suppose 3*u + x = 1026 + 1102, 4*u - 2841 = -5*x. Calculate the remainder when 2142 is divided by u.
15
Suppose -14*o + 30*o = -64. Calculate the remainder when (-6 + 14)/16 - 210/o is divided by 6/(-4)*-4 + 2.
5
What is the remainder when 450 is divided by 340/8 - -5 - (-9)/18?
18
Let r = -11 + 15. Suppose -2*m = m + 3, -r*m = -t + 6. Suppose o - 5*o = t*z - 76, 0 = z. What is the remainder when 50 is divided by o?
12
Suppose -2*g - 2*t - 76 = -3*g, 0 = -t - 5. Let a = g - 59. What is the remainder when 125 is divided by a?
6
Let d(m) = 234*m - 5097. Calculate the remainder when d(26) is divided by 15.
12
Let u be ((-2987)/(-203))/(1/7). Suppose 177 = 20*k - u. Calculate the remainder when 530 is divided by k.
12
Let m = 58 + -56. Let l be ((-1)/m*15)/(6/(-40)). Suppose -6*a = -a - l. Calculate the remainder when a is divided by 9.
1
Let g be 574/8 + 1/4. Let b be 1/63*927 + (-4)/(-14). Calculate the remainder when (b/8*2)/(3/g) is divided by 13.
12
Let n(h) = 12*h**2 - 33*h + 207. Calculate the remainder when n(8) is divided by 120.
111
Let p(f) = -f. Let s(i) = 3*i + 105. Let u = 96 - 95. Let l(h) = u*p(h) + s(h). What is the remainder when l(0) is divided by 37?
31
Suppose -4*t + 4*b + 5245 = 3345, 2*t + 3*b = 975. What is the remainder when t is divided by 129?
93
Let x(l) = 465*l**3 + 20*l**2 - 20*l + 2. Calculate the remainder when 1877 is divided by x(1).
9
Let f = -920 + 1029. What is the remainder when 4141 is divided by f?
108
Let c be -1 + 0 - 32/2. Let g(y) = -29*y - 11. Let s(j) = -24*j - 10. Let u(i) = 5*g(i) - 6*s(i). Calculate the remainder when u(c) is divided by 8.
6
Suppose -628 = -61*l + 57*l. Let b = l - 24. Calculate the remainder when b is divided by 27.
25
Suppose 20*r - 189 = 17*r - 0*r. What is the remainder when 617 is divided by r?
50
Let m be -3*141/27*-3. Suppose 2*h + 2*x = m + 65, x = 3*h - 152. What is the remainder when 154 is divided by h?
50
Suppose 18*u = 11*u + 105. Let z = 44 + u. Calculate the remainder when z is divided by 39.
20
Let g(j) = -8*j + 2. Let k be g(-8). Suppose 87*y = 89*y - k. What is the remainder when 177 is divided by y?
12
What is the remainder when 620 - 26/(24/12) is divided by 61?
58
Suppose 5*a + 2*u = 178 + 610, -3*u - 768 = -5*a. Suppose -5*n - 3*f = -94, -4*n = -3*n - 3*f - 26. What is the rem
|
{
"pile_set_name": "DM Mathematics"
}
|
(b) be the first derivative of -9*b**2/2 + 5. What is the units digit of i(-2)?
8
Suppose 2*a + 12 - 52 = 0. What is the units digit of a?
0
Let m(t) = t**3 - 7*t**2 + t + 3. Let j(k) = k**2 - k. Let h(l) = -3*j(l) + m(l). What is the units digit of h(10)?
3
Let f(t) = -3*t + 4 - 5 + 2 + 4. What is the units digit of f(-5)?
0
Let v(m) = m**3 - 4*m**2 - 6*m + 2. Let l be v(5). What is the units digit of ((-4)/(-2) + l)*-14?
4
Let u be (3 + -3)/2*-1. Suppose -r = -u*r - 9. What is the units digit of r?
9
Suppose -3*u = g, -6 = -4*g + g - 3*u. Let o = g - -22. What is the tens digit of o?
2
Let f(o) be the third derivative of -o**4/12 - o**3/2 - 4*o**2. What is the units digit of f(-6)?
9
Let k(s) = s**3 + 6*s**2 + 4*s + 6. Suppose 20 = 5*z - 0*z. Suppose -3*r = 4*v + 11, -6*v = -2*v - z*r + 32. What is the units digit of k(v)?
1
Suppose 3*r - 5*h = 505, -150 - 705 = -5*r - 5*h. Suppose a - r = -4*a. What is the tens digit of a?
3
Let d = 22 - 10. Let b(n) = -n**2 - 7*n + 1. Let f be b(-8). Let r = d + f. What is the units digit of r?
5
Let t = -46 + 115. What is the tens digit of t?
6
Let n(d) = -13*d - 3. What is the tens digit of n(-3)?
3
Suppose -4*j = 12, 0*m - 2*m = -3*j - 69. Let f(c) = 4*c + 6. Let k be f(9). Let i = k - m. What is the units digit of i?
2
Suppose 11 = 3*n + 2. Suppose n*g - 40 = -g. Let q = g - 4. What is the units digit of q?
6
Let t(z) = 3*z**2 - 6*z - 11. What is the units digit of t(7)?
4
Suppose 4*z + 0*b + 2*b = -2, -1 = -4*z - b. What is the units digit of z?
1
Suppose -3*n + 9*n = 78. What is the tens digit of n?
1
Let u(k) = 32*k**2 + 9*k + 2. What is the units digit of u(-3)?
3
Suppose 6*a - 2*s = 3*a + 10, -a = -5*s + 14. Suppose m = 4*m + 12, d - m = a. What is the units digit of d?
2
What is the tens digit of (-291)/(-6) + (-3)/6?
4
Let o = 13 + -11. Let h be (0 - -1) + -2 + 36. Suppose o*v - h = -3*v. What is the units digit of v?
7
Let m = -125 - -186. What is the tens digit of m?
6
Suppose -4*g + 26 = 5*y, -2*y = y - 6. Suppose 2*f - 3 = -5*h + g, 20 = -5*f. What is the units digit of h?
3
Suppose 0 = -4*b + 20, -b + 0 = -u + 153. What is the units digit of u?
8
Suppose -4*q + 317 = -99. Suppose 5*p + 2*s - q = 176, -2*s = 3*p - 168. What is the tens digit of p?
5
Let s be 1*(-31)/2*-2. Suppose 3*t = 11 + s. Suppose -35 + t = -3*a. What is the units digit of a?
7
Let m(f) = f**3 + 7*f**2 + 7*f + 1. What is the tens digit of m(-5)?
1
Suppose 4*p + 3*n - 445 = -0*n, n = -2*p + 225. What is the units digit of p?
5
What is the tens digit of -1 + 207/5 + (-9)/(-15)?
4
Let p = -52 - -73. What is the units digit of p?
1
Suppose 0 = 2*w - 5*f + 9, -3*w = -0*f + 3*f - 18. Let o = -4 + w. What is the units digit of (2/(-3))/(o/12)?
8
Suppose i + 3*l + 10 = 0, 2*l = 3*i - 28 + 3. Suppose 0 = u + c - i, 4*c = 3*c + 1. Suppose -u*q + 51 = -1. What is the units digit of q?
3
Suppose -3*n - 40 = -256. What is the tens digit of n?
7
Let r be (-9)/(1 - (-2)/4). Let y = 18 - r. What is the tens digit of y?
2
Let v be 25/2*(7 - -1). Suppose -y - v = -6*y. What is the units digit of y?
0
Suppose -v = v - 10. Suppose -2*b = -v*b - 9. Let j = b - -10. What is the units digit of j?
7
Let p = -32 - 2. Let l = -11 - p. What is the tens digit of l?
2
Suppose 0 = -2*o, 3*f + 0*o = 5*o + 9. Suppose f = 5*t - 2. Suppose -5*w - t + 13 = -x, 2*w + x - 2 = 0. What is the units digit of w?
2
Let a(z) = -z**3 - 2*z**2 + 2*z - 1. Let f be a(-3). Suppose s = t + 1, f*s - t = 4*t - 7. What is the units digit of s?
4
Suppose -5*w + 225 = 70. Let q = -7 + w. What is the units digit of q?
4
Let h(w) be the first derivative of w**4/4 + 4*w**3/3 - w**2 - 5*w + 1. Suppose -u - 4*u - 23 = 3*r, -4*u - 5*r - 21 = 0. What is the units digit of h(u)?
3
Let j be ((-3)/(-3))/(-2 + 3). Let s = j - -5. Suppose -t + 4 = -s. What is the tens digit of t?
1
Suppose 0 = -5*x - 2*d + 3*d + 440, -2*x + 188 = 2*d. Let b = -42 + x. What is the tens digit of b?
4
Let q(s) = -s**3 + s**2 - 4. Let g be q(-3). Let k = 24 + g. What is the units digit of k?
6
What is the units digit of (-2380)/(-60) + 1/3?
0
What is the tens digit of 897/27 + 4/(-18)?
3
Suppose 14*f = 5*f + 405. What is the tens digit of f?
4
Suppose -3*k = 2*p, -p - 5*k = -0*k. Suppose -6*y + 4*y + 28 = p. What is the tens digit of y?
1
Let u = -4 - -4. Suppose 3*r = -6*j + 3*j + 39, r - 3 = u. What is the units digit of j?
0
Let n(k) = -k - 8. Let h be n(-8). Let d = h + -14. Let y = 30 + d. What is the tens digit of y?
1
Let c(k) = -10*k**3 + 18*k**2 - 11*k - 21. Let j(t) = 3*t**3 - 6*t**2 + 4*t + 7. Let m(n) = 2*c(n) + 7*j(n). What is the tens digit of m(5)?
1
Let h(t) = -t**2 - 5*t + 20. What is the units digit of h(-7)?
6
What is the tens digit of 20 + (2 - 0/(-1))?
2
Suppose 0 = 4*k - 125 - 115. What is the units digit of k?
0
Let i(g) = -g**3 + 5*g**2 + 7*g - 4. Let a be i(6). Let b = -36 - -58. What is the tens digit of (3 - 2)/(a/b)?
1
Suppose -10 = -4*z + 2. Suppose 4*k = -z*a + 31, -k - 3*k - 41 = -5*a. What is the units digit of a?
9
Let g = 54 + -8. What is the tens digit of g?
4
Let t = -1 - -3. Let d(p) = 2*p + 3*p**2 - p - t*p**2. What is the units digit of d(-3)?
6
Suppose -4*u + 123 = -21. Suppose 0 = 3*r - 3*g - u, g - 6*g - 18 = -2*r. What is the units digit of r?
4
Suppose -25 = -2*n - 3*n. Suppose u = n + 2. What is the units digit of u?
7
Let m = -12 - -40. What is the units digit of m?
8
Let o(l) = l**3 + 4*l**2 - 5*l + 7. What is the units digit of o(-5)?
7
Suppose -4*q = -4 - 48. What is the units digit of q?
3
Let s(g) = -g**3 - 9*g**2 - 9*g - 1. Let i be s(-8). Let k = 14 - i. Suppose -k*x - 16 = -3*x, -4 = y + 2*x. What is the units digit of y?
4
Suppose -124 = 2*w - 6*w. Suppose 7 = 2*d + w. What is the units digit of d/(-20) - (-2)/5?
1
Suppose 7*n - 581 = 532. What is the units digit of n?
9
Let j = 20 + -11. Suppose p - 4*p + j = 0. What is the units digit of (p - -1)*9/12?
3
Let r(s) = -s**3 - 7*s**2 + 1. Let z be r(-7). Suppose -46 = -5*y - z. What is the units digit of y?
9
Let h = 16 + -10. Suppose 0 = 5*y - 5, 5*b + 2*y - y - h = 0. What is the units digit of b?
1
Let w = -7 + 13. Let z be (-2)/(-4) - (-29)/2. Suppose z = w*h - 3*h. What is the units digit of h?
5
Suppose 2*m - 3*d - 3 = -6, 5*m + 20 = -5*d. Let a be -8 + 1/(m/6). Let u = a - -14. What is the units digit of u?
4
Let i(n) = 21*n + 5. What is the units digit of i(4)?
9
Let z = 6 - 1. Suppose -9 = -2*h + z*h. What is the units digit of h/(9/(-6)) + -1?
1
Suppose 2 = k + o - 0*o, k - 3*o - 14 = 0. Let y be (1 + k/(-3))*-6. Suppose 10 = 5*d + y*q, -6*q = -5*d - q + 55. What is the units digit of d?
6
Let u be (-27)/9 - -1*3. Suppose -6*o + 2*o + 145 = -5*y, u = 5*o - 3*y - 178. What is the units digit of o?
5
Let u(c) = -c**3 + c. Let n be u(1). Suppose 2 + n = p. Suppose -4*w = -k - p*w - 6, -3*k - 8 = -4*w. What is the units digit of k?
4
Let b(t) = -t**2 + 22*t - 10. What is the units digit of b(8)?
2
Let b = -74 + 285. What is the units digit of b?
1
Suppose -2*r - 2 = -c + 2*r, c = 5*r + 3. What is the units digit of (3 + c)/((-1)/(-23))?
3
Let q = 371 + -185. What is the hundreds digit of q?
1
Let p(t) be the first derivative of 2*t**3/3 + t + 2. Let q(r) = r**2 - 3*r - 2. Let a be q(3). What is the units digit of p(a)?
9
Suppose -8 = -6*s + 2*s. Suppose 10 = -0*h - 2*h, s*o + 2*h = 0. What is the units digit of o?
5
Let p(n) = n. Let m be p(5). Suppose 0 = m*h + 3 + 2. Let d(u) = -13*u**3 + u**2 + u + 1. What is the tens digit of d(h)?
1
Suppose 0 = -4*p + 390 - 102. What is the tens digit of p?
7
Suppose -3*l = 5*d - 8*l - 360, 0 = 4*d + 3*l - 253. What is the tens digit of d?
6
Suppose -u + 2*u = z + 8, -5*u = -3*z - 34. Let m = u - 3. What is the units digit of m/(3/(-2) - -2)?
4
Let l = 24 + 27. What is the units digit of l?
1
Let y = -8 - -10. Suppose -12 = -y*w - w. What is the units digit of (25/10)/(1/w)?
0
Let o(s) = -s**3 - 5*s**2 + 6*s. Let u(h) = 2*h**3 + 10*h**2 - 11*h - 1. Let i(p) = 5*o(p) + 3*u(p). Let k = -5 - 0. What is the units digit of i(k)?
2
Let b(r) = -r - 4. Let l(p) = 2*p + 8. Let w(y) = 11*b(y) + 6*l(y). What is the units digit of w(0)?
4
Let x(o) = o**3 - 6*o**2 + 6*o - 3. What is the tens digit of x(6)?
3
Suppose -26 = -s + 7. What is the tens digit of s?
3
Let c(k
|
{
"pile_set_name": "DM Mathematics"
}
|
= 99 - 74. Solve i - 6*i + j = 0 for i.
5
Let p(w) = w**3 + w**2 + 23. Let s be p(0). Suppose -3*f + 13 = -s. Solve -4*t + 4 = f for t.
-2
Let s(i) = -5*i**2 - 6*i + 1. Let y(q) = -9*q**2 - 12*q + 1. Let l(a) = 11*s(a) - 6*y(a). Let o = 11 - 6. Let d be l(o). Solve -4*t = -2*t + d for t.
-5
Let w = 23 - 13. Suppose -w*p = -5*p. Let x = 3 + -1. Solve p*u - 2*u = -x for u.
1
Suppose 4*r - 4*v - 26 + 2 = 0, -2*v - 4 = 2*r. Let x be (1 - -2) + -5 + r. Suppose 0*a - u - 3 = a, -4*a - 5*u - 15 = x. Solve 3*o + o = a for o.
0
Let v(o) = -o**3 - 14*o**2 - 13*o + 4. Let k be v(-13). Solve -k = 3*p + 8 for p.
-4
Let q = -11 - -15. Let k be ((-6)/4)/((-3)/q). Solve 0 = -h - k - 1 for h.
-3
Suppose 8*f = 5*f + 9. Let k be (0 - 1)*f - -3. Suppose k = b + 1, 3*w - 2 = b + 8. Solve 6*g = w*g - 12 for g.
-4
Let r be (-15 - -9)*(-2)/6. Suppose -2*a - 2 = 2*y, -y - 9 = -0*a - a. Solve -a = -4*n + r*n for n.
2
Suppose 5*z - 5*f - 2 = 3, 0 = 5*z - 3*f - 3. Suppose -3 + 13 = -r. Let m = -8 - r. Solve -d + m*d + 2 = z for d.
-2
Suppose 0*w + 3*n = 3*w, -n = 2*w. Solve w = -4*f + 6 - 2 for f.
1
Let k(h) = -h**2 - 4*h + 7. Let v = -14 + 9. Let o be k(v). Suppose -2*l = -o - 2. Solve -2 - 4 = -l*j for j.
3
Let j = -3 - -8. Suppose 4*x = 2*s, x + 30 = -j*s - 4*x. Let z be s/10 - (-72)/30. Solve 0*c + z*c + 4 = 0 for c.
-2
Let d(i) = -i**3 + 6*i**2 - 3*i - 7. Let c be d(5). Let a(u) = u**2 - 4. Let z be a(c). Let h be (8/(-12))/(1/(-6)). Solve -h = z*m + 21 for m.
-5
Suppose 4*a - 18 = -h, -4*h + a = -21 - 17. Suppose -1 = -3*p + i, 5*i - 39 = -3*p - 8. Suppose -5*w = k + 3*k - 14, -4*k = -p*w. Solve 4*n = w*n + h for n.
5
Suppose q = -q + l - 9, -5*l = 5. Let o(r) be the first derivative of -r**3/3 - 3*r**2 + 2*r - 5. Let w be o(q). Solve 25 = -2*y + w*y for y.
5
Let g(b) = b**3 + 6*b**2 - 2*b - 8. Let k be g(-6). Suppose 4*r = 2*t + k, -3*t - 4 - 1 = -5*r. Solve 0 = p - r for p.
1
Suppose 5*n - 36 = -7*i + 3*i, 4*i - n - 36 = 0. Solve -i*r = -12*r + 3 for r.
1
Let u be 0/(1 - 4) - -3. Let b(n) = n**2 + 6*n + 6. Let c be b(-5). Solve u*q = -4 + c for q.
-1
Suppose 4*b - 4 = 4. Solve -4*f = -2*f - b for f.
1
Let j be 0 + 11 - (-1 + 2). Suppose -5*s - 8*w + 4*w + j = 0, 3*s + 5*w - 6 = 0. Suppose 41 = 5*h - 4*d, 0 = -5*h - d - 3*d + 49. Solve u = -s*u + h for u.
3
Suppose -i = i - 8. Solve 2*c = 3*c - i for c.
4
Let v be ((-8)/20)/((-2)/20). Let g be (18/v)/((-9)/(-12)). Suppose -4*c - 2 = -g*c. Solve 2 = p - c for p.
3
Let v = 2 - 2. Suppose v = 5*o - 9 - 1. Let w = -2 - -3. Solve -w + 7 = -o*s for s.
-3
Let k(t) = -t + 3. Let d be k(0). Suppose -3*a + 6 = 3*b, -2*b + 4*a + 6 = 14. Let g(z) = -z. Let f be g(b). Solve 3*s + f*s = d for s.
1
Let w be 1/3 + (-10)/(-6). Suppose -w*r = 2*r - 16. Solve -16 = -0*h - r*h for h.
4
Let f be 30/(-9)*(-9)/6. Suppose -g = f + 3. Let n = g - -13. Solve -n*s + 1 = 6 for s.
-1
Let v(p) = 39*p**2 + 6*p - 11. Let r(b) = -8*b**2 - b + 2. Let f(o) = -11*r(o) - 2*v(o). Let u be f(1). Solve -w - u = 2*w for w.
-3
Let l(q) = q**2 + 8*q + 5. Let m be l(-8). Suppose -29 - 1 = -m*t. Suppose -4*g + t*g - 2 = 0. Solve 2 + g = -y for y.
-3
Suppose 3*h + 20 = -5*z - 5, 2*h - 10 = 2*z. Let m be (-24)/(-3) - (0 + -1). Solve 5*v - 11 - m = h for v.
4
Suppose -13 = -5*j + 7. Let t(s) be the third derivative of s**5/60 - s**4/6 + s**3/2 + s**2. Let x be t(j). Solve 6 = x*c - c for c.
3
Let p(k) = k**3 + 5*k**2 + k + 7. Let v be p(-5). Solve v*a + a = 0 for a.
0
Let a be (4/8)/(2/20). Let g(m) = -3*m**2 + 5 - m**2 + a*m**2 + 5*m. Let t be g(-4). Solve 3*o - 4*o = t for o.
-1
Suppose -n - 2*n + 2 = 4*m, -n = -m - 3. Let k = 8 + m. Solve 0 = 2*i - k - 3 for i.
5
Let j = 16 + -8. Let k be 4/(-10) - 4/(-10). Solve k*y + 4*y = -j for y.
-2
Suppose -5 = 4*x - 17. Solve x*y - 2 = 1 for y.
1
Suppose 2*l = -r + 7, -4*l + 7 + 8 = r. Let p be (20/12)/((-2)/12). Let n be (-24)/p - (-6)/(-15). Solve 2*g = -n - l for g.
-3
Let z(t) = -t**2 - 11*t + 2. Suppose -h + i = 10, 2*h + 2*i + 24 = -0*h. Let j be z(h). Let l(g) = -g**2 - g. Let w be l(-1). Solve w*q - j*q + 2 = 0 for q.
1
Suppose 9 = 3*g - 0. Suppose g*a = -0 + 6. Solve -5*z = -a*z for z.
0
Let x(s) = -s + 1. Let a(h) = 2*h**2 - 5*h + 2. Let j be a(3). Suppose j*c = -4*p - 27, 0*p - 3*p + 6 = -5*c. Let u be x(c). Solve u*i = i for i.
0
Let y(a) = a + 4. Let h be y(-2). Suppose -h*o = -5*o + 18. Solve -o = 3*g + 9 for g.
-5
Let q(j) = 4*j - 4. Let a be q(1). Solve 2*s - s + 1 = a for s.
-1
Suppose n = -3*m + 1, 4*m + n = -n - 2. Solve -2 = -m*b + 2 for b.
2
Suppose -a + 0*a + 5 = 0. Let c = a + 1. Suppose c*x = 3*x - 5*g, -2*g = -5*x. Solve x = s + s for s.
0
Suppose 2*n = 4 + 4. Solve 0 + n = c for c.
4
Let c(l) = -l**2 + 6*l + 2. Let d be c(6). Suppose -d*s = y + 4 - 3, -y + 5 = -s. Solve y*r + 5 = 14 for r.
3
Suppose c + 3*r - 11 = 0, 0*c + c - 4*r = -10. Suppose -1 = 3*f - 2*f - 3*h, 5*h = -c*f + 9. Solve f*p - 3 = -5 for p.
-1
Suppose -2*k - 2*n + 42 = 0, 0 = -7*k + 3*k - 5*n + 85. Solve -3*f = f - k for f.
5
Suppose 5*w + 6 = 21. Solve 0 = 2*r + 7 + w for r.
-5
Let x = 6 - 5. Let u(l) = 4*l + 1 - 1. Let k be u(x). Solve -k = p + p for p.
-2
Let m(z) = 6 + 2 - 3*z - 2 + z**2 + 8*z. Let y be m(-4). Solve -3*i = y*i + 15 for i.
-3
Let j(i) = i + 7. Let n be j(-7). Solve n = -0*x + x - 1 for x.
1
Suppose 2*c + 272 = -2*c. Suppose -4*w = -6*p + 3*p - 128, 160 = -3*p - 4*w. Let b = p - c. Solve 0*o + 4*o - b = 0 for o.
5
Let z(q) = q**2 + 9*q + 5. Let w be z(-9). Solve w*n = 3*n + 8 for n.
4
Let q(j) = -j + 2. Let m be q(0). Solve g = -g + m for g.
1
Let j(y) = -7*y**2 + 4*y**2 - 4*y + 4*y**2 + 0*y**2 - 4. Let g be j(6). Solve -3*d = -d + g for d.
-4
Suppose 9*m = 14*m - 25. Solve 3*k - 2*k = -m for k.
-5
Let l = 11 - 17. Let d be (-3)/l - 133/2. Let v = -46 - d. Solve -5*f - v = -0*f for f.
-4
Suppose 4*q - 5*m - 47 = 0, -3*q + 43 - 6 = -2*m. Suppose 3*b = q - 1. Solve 0 = -0*u + b*u + 4 for u.
-1
Suppose 4*i = -t + 13, -2*t + 7 = -3*i + 3. Solve r - 9 = -i*r for r.
3
Suppose -4*y - 3*x + 14 = 0, -2*y - 5*x + 5 = y. Suppose -y*j + 25 = -3*t, -j + 5 = t - 4*t. Solve -6*v + v + 25 = t for v.
5
Suppose 2*x + 32 = 4*x. Let j = x + -10. Solve 3*i = 5*i + j for i.
-3
Let u(n) = -n**2 - 9*n - 2. Let w be u(-8). Suppose s = 3*b + 21, 2*s - 25 = -3*s - 5*b. Solve 3*p + s + w = 0 for p.
-5
Let a(v) = 2*v**3 + v**2 - v + 1. Let u be a(1). Suppose -w = 2*k + 2, 0 = 5*k - u*k + 8. Solve 0*x = -2*x + w for x.
3
Suppose r - 2 = 2. Let x be (-2 + 4)*(2 - 1). Suppose d + 3*d = 3*l + 24, 0 = -r*d - x*l + 4. Solve d*o - 15 = -0 for o.
5
Suppose -2*c + c = 0. Let w = c + 0. Solve -x = -w + 3 for x.
-3
Suppose 0 = -27*w + 22*w. Solve w = 3*h - 2*h for h.
0
Suppose 2*d = 4*p + 2 + 4, -2*p = -2. Solve d - 4 = u for u.
1
Suppose -3*m = -4*m. Suppose m = -3*q + 7*q - 8. Solve q*z = -0 + 2 for z.
1
Suppose -3*y - 2*k - 2 = -0*k, -2*y = 2*k + 4. Solve -5 = y*r + 1 for r.
-3
Let x be 300/80 - (-1)/4. Solve -3*g + 4 = -x*g for g.
-4
Let o be 4/(2 + (4 - 4)). Solve 2 = -4*x - o for x.
-1
Let i = 9 + -4. Let n be (-2)/5*-5*2. Solve -14 = i*q - n for q.
-2
Let h(o) = 5*o - 10. Let y be h(7). Suppose 0*x - y = -5*x. Solve x = 2*m + 3 for m.
1
Let u(b) = -b**3 - b. Let c be u(0). Let m = -10 + c. Let x be (-14)/(-4) - (-5)/m. Solve -1 + x = -2*f for f.
-1
Suppose 7 = -b - 4*n - 2, -2*b - 3*n = 3. Suppose 0 = j - 0*j - b. Solve 16 = -j*h + 7*h for h.
4
Suppose 4 = 7*q - 5*q. Let t be (-1 + 1)/(q/2). Solve 0*l - 4*l + 20 = t for l.
5
Let p(f) = -5*f - 5. Let t be p(-5). Suppose 5*u - 76 = q + 3*q, t = -5*q. Solve h + u = 4*h for h.
4
Suppose -4*x + 4 = -4. Suppose 0 = 2*m + x*m - 40. Solve b + b = m for b.
5
Let p(g) = 2*g**2 - g - 2. Let f be p(3). Suppose 0 = -3*a - 1 + f. Let r(z) = -z**3 - 3*z**2 + 4*z + 2. Let j be r(-4). Solve -j = a*s + 2 for s.
-1
Let j(h) = -9*h + 31. Let r(i) = 4*i - 15. Let k(a) = -3*j(a) - 7*r(a). Let w = 35 - 23. Let b be k(w). Solve t + t - 2 = b for t.
1
Let s = -4 + 5. Let t be (-1)/(s - (0 + 2)). Solve -4*j - t - 3 = 0 for j.
-1
Suppose 3*p = 5*m, -2*p - 5*m + 30 = 5. Suppose -3*l = 2*a, -2*l = p*a - 3 - 8. Let t be 9 - (l + 1 - 2). Solve -t + 0 = -4*f for f.
3
Suppose 63 = 3*p + 3*d - 0*d, d = -4*p + 81. Let s be (3/2)/(3/20). Let i = 16 - s. Solve j = i*j + p for j.
-4
Let k = -34 + 59. Let f(q) = q + 8. Le
|
{
"pile_set_name": "DM Mathematics"
}
|
3 a factor of x?
False
Let s(v) = v + 10. Let c be 1*6 + 0 - 1. Let u(i) = 2*i + 21. Let o(j) = c*s(j) - 2*u(j). Does 8 divide o(0)?
True
Suppose -5 = -0*l + l. Let o = l + 13. Is 8 a factor of o?
True
Let s be (-860)/(-18) - 2/(-9). Suppose 0 = -3*n + n + s. Is 12 a factor of n?
True
Suppose 4*z + 5 = 17. Suppose -z*o + 122 + 76 = 0. Does 20 divide o?
False
Let l be ((-40)/(-25))/((-2)/(-35)). Let j = 3 + l. Is 12 a factor of j?
False
Let x be (-876)/16 - 1/4. Let o = x - -118. Does 21 divide o?
True
Suppose -5*z + 0 = -45. Is 3 a factor of z?
True
Suppose 3*v = 4*v - 72. Suppose -5*b = x + 30, 5*x - 3*b + 154 = -24. Let a = x + v. Is a a multiple of 13?
False
Suppose x + 4 = 9. Suppose 5 = -l + 2, x*a - 147 = 4*l. Is a a multiple of 9?
True
Is (-6)/(-4)*2 + 27 a multiple of 9?
False
Let o(h) = h**3 + 20*h**2 + 15*h + 21. Does 35 divide o(-19)?
False
Let f = 482 + -242. Suppose -3*z = -5*r + f, -z - 3*z - 96 = -2*r. Does 16 divide r?
True
Suppose x = 3*n - 2, -4*x - 3*n + 5*n + 32 = 0. Let w = 2 + 0. Suppose w*j + x = 3*j. Does 5 divide j?
True
Suppose 0 = -5*k - 35 - 5. Let b = 4 - k. Does 12 divide b?
True
Suppose g + 18 = 2*g. Is (g/4)/((-5)/(-50)) a multiple of 20?
False
Let j be (0 - 2/2) + 3. Suppose 0*m - 4*m + j*r - 12 = 0, 3*m = -2*r - 2. Is m*1/(-6)*33 a multiple of 11?
True
Suppose -2*t + 123 = t. Suppose -9 = -3*p, 0*p = -4*v + p + t. Is 2 a factor of v?
False
Let o = 77 - 2. Does 28 divide o?
False
Let x(n) = -n**3 + 9*n**2 - 3*n - 4. Is x(8) a multiple of 15?
False
Let x = -76 - -116. Is 18 a factor of x?
False
Let w be 532/(-6) - 10/(-15). Suppose b = -0*b - s + 6, 2*s = 3*b - 18. Does 7 divide b/(-4)*w/12?
False
Suppose -4*u + 99 = d, 0 = 4*u - 5 - 7. Let i(t) = 8*t - 3. Let f be i(-7). Let j = f + d. Does 14 divide j?
True
Suppose 3*k - 82 = -2*v + k, -v + 38 = 4*k. Suppose -4*g - v = 46. Let b = g + 32. Is 5 a factor of b?
True
Let h(r) = r**3 - 8*r**2 + 6*r + 10. Let f be h(7). Suppose 0 = -f*m - 5*s + 55, 2*m - s - 17 = 37. Is 13 a factor of m?
False
Let v = 17 + 16. Does 11 divide v?
True
Suppose -3*i = -f + 31, 0 = 2*f - 3*i + 7*i - 32. Suppose 4*v = f + 2. Does 5 divide v?
False
Let x(y) = 2*y**2 + 1. Suppose v = 3*v + 2. Let p be x(v). Suppose p*h = -3*l + 51, h + 5*l = 26 + 11. Does 4 divide h?
True
Let k(l) = 5*l**3 + l**2 + l - 1. Let q be k(-2). Let g = q - -92. Is 15 a factor of g?
False
Let v = 526 + -320. Let b = v - 122. Suppose 3*k - k - o - 68 = 0, -3*k - 3*o = -b. Does 16 divide k?
True
Let b = -76 - -137. Is 13 a factor of b?
False
Suppose -53 = -o + g, 88 = -5*o + 3*g + 343. Does 18 divide o?
False
Let u(w) = w**2 - 1. Let q be u(-3). Let y be ((-12)/q)/(6/(-8)). Suppose -y*r + 63 = r. Is 8 a factor of r?
False
Let f(j) = 3*j - 17. Does 7 divide f(12)?
False
Suppose 0 = -0*x - 3*x + 6. Suppose x*u - u - 37 = 0. Does 14 divide u?
False
Is (7 - 4) + (0 - -8) a multiple of 11?
True
Let l = 73 - 52. Is l a multiple of 21?
True
Suppose k = 4 + 1. Let n = k - 1. Is n a multiple of 2?
True
Let a be -2 - (5 + -2)*-1. Let s be a*6 + -1 + 0. Suppose -43 = -s*c + 32. Does 7 divide c?
False
Let k = 187 + -115. Suppose 0*q - 5*q - 3*u + k = 0, -4*q + 64 = 4*u. Does 12 divide q?
True
Let i(r) = -3*r + 59*r**2 - 10 - 58*r**2 + 10*r. Is 5 a factor of i(-9)?
False
Suppose 64 = -4*x + i, -x - 2*i - 48 = 2*x. Is (4/1)/(x/(-24)) even?
True
Suppose -2*j - j = -207. Does 14 divide j?
False
Let l(f) = f**2 + 5*f - 3. Let j be l(-6). Let x be 2 + (5 - (-3)/j). Suppose -x*o + 4*o = -120. Is o a multiple of 15?
True
Suppose -2*d - 101 = x - 351, -x + 256 = -4*d. Is x a multiple of 28?
True
Let i be ((-2)/3)/((-6)/(-9)). Is (0 - -1)*i*-6 a multiple of 3?
True
Let z = 23 + -11. Does 6 divide z?
True
Let w be ((-1)/3)/((-11)/165). Suppose -k - 5*l = -21, w*k = -0*l + 4*l + 18. Does 4 divide k?
False
Is 8 a factor of 8/(-6) - (-674)/6?
False
Let m = 4 + -2. Let k be m - 1 - -2*1. Let j = k - -6. Is 9 a factor of j?
True
Let h = 57 + 42. Does 20 divide h?
False
Let j be (-11)/((-22)/312) - 1. Let w = j - 84. Does 19 divide w?
False
Let d = -14 - -141. Suppose -2*q - 43 = -d. Is q a multiple of 14?
True
Let c(i) = i**2 + 4*i + 1. Let y be c(3). Suppose 52 = 2*z - y. Does 13 divide z?
False
Suppose -4*x + 3*d - 19 = 0, 0 + 24 = -4*x + 4*d. Let h(f) = -20*f**3 + f**2 - 1. Let j be h(x). Suppose 4*k + 4 - j = 0. Is k a multiple of 2?
True
Let c = -97 - -167. Is 10 a factor of c?
True
Suppose 4*b + 292 = 8*n - 5*n, -4*n = 3*b - 381. Is 19 a factor of n?
False
Suppose 0 = w - 12 - 43. Suppose b = 6*b - w. Does 4 divide b?
False
Suppose 7*p = 4*p + 6. Is ((-42)/(-35))/(p/10) a multiple of 3?
True
Suppose j + 2 = -6. Let q(s) be the first derivative of -s**4/4 - 7*s**3/3 + 3*s**2/2 + 5*s - 2. Does 15 divide q(j)?
True
Let z be (-9)/2*4/(-6). Let t(o) = o**3 - 10*o**2 + o - 6. Let v be t(10). Suppose v*x - 20 = 0, 0*c - z*x + 63 = 4*c. Does 6 divide c?
True
Let v(c) = 5*c - 2. Does 23 divide v(5)?
True
Is 27 a factor of (-2 + -4 - -223) + -1*1?
True
Let n(d) = d**2 - 10*d + 2. Does 11 divide n(11)?
False
Let k(z) = 11*z + 6. Is 21 a factor of k(6)?
False
Suppose 0 = -4*n - 0*n + f + 33, -5*n - 5*f + 10 = 0. Let v = 11 - n. Suppose -5*j + 3*j = v*d - 30, d + 5*j - 21 = 0. Is 5 a factor of d?
False
Let n be 3 - -3*(1 + 5). Suppose 0 = 3*z + 5*i - 47, 0*z - z + i = -n. Is z a multiple of 19?
True
Suppose 4*b - 6 = b. Suppose 4*h - 2*c - 2*c = 4, -20 = -b*h - 4*c. Suppose -3*u = 2*u + h*i - 104, 1 = i. Is u a multiple of 10?
True
Let a(n) = -n**3 - 21*n**2 - 2*n - 1. Is a(-21) a multiple of 13?
False
Let p(s) be the first derivative of s**4/4 - 10*s**3/3 + 11*s**2/2 - 4*s + 1. Is 6 a factor of p(9)?
False
Let t = 133 + -117. Is t a multiple of 3?
False
Let s(o) = 6*o**2 - o + 4. Let u be s(4). Let i be (1 - 1) + u/1. Suppose -3*d - d + i = 0. Is 13 a factor of d?
False
Suppose -2*i = -5*i - h + 46, 2*h - 78 = -5*i. Does 12 divide i?
False
Suppose 4*r = 5*z - 290 - 91, -3 = -3*r. Is 11 a factor of z?
True
Let z(v) be the second derivative of v**7/315 - v**6/240 - v**5/120 - v**4/6 + v. Let j(w) be the third derivative of z(w). Is j(-2) a multiple of 16?
False
Suppose -4*b - a + 6*a = -204, -2*b + a + 96 = 0. Is 23 a factor of b?
True
Suppose 0 = -4*t - 2*f + 28, 58 = 5*t - f + 9. Is 3 a factor of t?
True
Let s = 15 - 7. Let f(j) = 2*j - 7. Is 6 a factor of f(s)?
False
Let p be ((-11)/(-3))/(-1)*-3. Let x = p - 7. Suppose v - x*v = -48. Is v a multiple of 7?
False
Let y(t) = -t - t**2 + 0 + 8 + 15*t. Is 16 a factor of y(10)?
True
Let z(u) = u**3 - 4*u**2 - 7*u + 9. Is 18 a factor of z(6)?
False
Suppose 2*z - z = -y + 148, z + 2*y = 152. Is 24 a factor of z?
True
Suppose -4*n + 9 - 1 = 0. Let w(t) = 0*t**3 + 0*t**3 - 2 + 3*t**3 - t - 2*t**2. Is 12 a factor of w(n)?
True
Suppose -10*u = -9*u - 75. Is 25 a factor of u?
True
Is ((-130)/15)/((-2)/30) a multiple of 24?
False
Suppose 0 = 3*i + 2*p - 603, -i - 3*p = -212 + 11. Suppose 0*o - 3*o + i = 0. Is o a multiple of 14?
False
Suppose 0 = 6*b - 9*b + 5*n + 647, -3*n = b - 225. Is 10 a factor of b?
False
Suppose 0 = -3*r + r + 90. Does 4 divide r?
False
Suppose 5*p - 1172 = -r, 10*p - 5*r - 1160 = 5*p. Is p a multiple of 30?
False
Suppose -4*b + 184 + 120 = 0. Suppose 3*c - b = 2*d, 4*c = 2*c + 5*d + 58. Is 12 a factor of c?
True
Suppose 3*y - 2*x - 12 - 11 = 0, -x = -2*y + 14. Suppose 0 = -j + 2, 4*p - 22 = -y*j + 8. Let c(l) = 8*l. Does 17 divide c(p)?
False
Suppose -5*s + 4*t = -92, 2*t = s - 2*t - 12. Is s a multiple of 10?
True
Let w be 1 + 2 + -1 - 10. Is ((-12)/w)/((-6)/(-56)) a multiple of 14?
True
Let s(j) = 9*j**3 - 12*j - 11. Let c(z) = -z**3 + z + 1. Let o(b) = 22*c(b) + 2*s(b). Does 12 divide o(-2)?
True
Suppose 3*r + 152 = 7*r. Is r a multiple of 27?
False
Let r(x) = -x**3 - x**2 + 3*x. Suppose 3*h + 13 = 4. Is 3 a factor of r(h)?
True
Let q(c) = -10*c - 2. Suppose 3*u + 20 = -5*t, 5*t + 4*u + 20 = 3*u. Does 15 divide q(t)?
False
Let s(u) = -u + 36. Does 4 divide s(-7)?
False
Let h = 11 + -7. Suppose 2 = 4*q + g - 3, -3*q - 4*g = -20. Suppose -3*k - 2*w + 22 = q, -24 = 5*w - h. Does 8 divide k?
False
Let c = 7 + 11. Let b = c + 4. Is 11 a factor of b?
True
Let u(i) = -3*i - 8. Let f be u(-12). Suppose -n = -q + f, q + 3*n + 6 = 26. Is q a multiple of 13?
True
Let j be (-1 - 1) + -3*26.
|
{
"pile_set_name": "DM Mathematics"
}
|
)/(y**(2/3))**3) assuming y is positive.
y**(-34/33)
Simplify (a**(-2/7))**(-13)*((a/(a/a**(-6)))/a)/a**(-5)*((a**(-2/17)*a)/a**(6/7))**(17/7) assuming a is positive.
a**(87/49)
Simplify ((t*t**(1/8))/t**(-3/8))/(((t*t*t**(3/4))/t)/((t/t**(-1/3))/t))*((((t**(-1)/t)/t*t)/t)**(-8/9))**(2/31) assuming t is positive.
t**(95/372)
Simplify ((s*s*(s**(1/2)*s)/s)/(s*s*s**(-6)*s))**(-20/3)/((s*s**(-6/5)*(s*s/((s/((s**(3/8)/s)/s)*s)/s))/s)/(s**(-1/9)/s*s**(-3)*s)) assuming s is positive.
s**(-13663/360)
Simplify (l/(l**(-34)/l)*l**(-28/3))/(l**(6/13)*l**(3/19)) assuming l is positive.
l**(19301/741)
Simplify (l**0)**22/(l**(1/4))**38*(l*l**(2/3))**24/(l/(l*(l*(l**(-1/2)/l)/l)/l*l))**(2/13) assuming l is positive.
l**(787/26)
Simplify (f**(2/51)*f*f**9*(f**(-1))**(-3/17))**(-31) assuming f is positive.
f**(-16151/51)
Simplify (t**11/(t/(t**(12/17)/t))*t**(2/63)/(t**3/t))**(-29) assuming t is positive.
t**(-240323/1071)
Simplify (x*(x*x**0)/x*x*x)**(-1/5)*x/(x*(x/x**2)/x)*x*x**(4/9)*(x*x**(2/7))**(-1/9)*(x*(x*(x**(-2)/x)/x)/x)**(2/63) assuming x is positive.
x**(821/315)
Simplify (m/(m/(m*m**(-6)))*m**2/m)/(m**(-1/2)*(m**(-1/7)/m)/m)*(m**(2/15)/(m*m**(2/7)))**34 assuming m is positive.
m**(-8513/210)
Simplify ((d/d**(-1/5))**(-33))**(-27)*((d*d**(-8)/d)/d**(2/13))**(-9) assuming d is positive.
d**(74268/65)
Simplify z**(-2/15)/(z/(((z/((z**(-2/11)*z)/z))/z)/z))*z**(-6/35)/z**(2/93) assuming z is positive.
z**(-25594/11935)
Simplify (m*m*m*m**2*m*m*m*m**(-4/3))/(m*m**0)**(-1/5)*(((m**(-1)*m)/m)/m*m)**16*(m*(m**6/m)/m)/(m*m**(1/6)) assuming m is positive.
m**(-53/10)
Simplify ((d**11*(d*d**(-23))/d*d)/((d/(d/(d*d**(-5/6)*d)*d)*d)/d)**(-12))**20 assuming d is positive.
d**(-180)
Simplify (((z/z**(2/3)*z)**13*(z*z*z**(2/3))**(2/19))**(29/3))**(1/3) assuming z is positive.
z**(29116/513)
Simplify ((n**(-2/5))**4)**18*n*(n**1*n)/n*n*n/(n**(-7)*n)*n**(-6/11)/n**(-1/11) assuming n is positive.
n**(-1059/55)
Simplify ((f*f/(f*(f*((f*f**6)/f)/f)/f))/f*f**14*((f*f/(f**6/f))/f)**(-2/81))**5 assuming f is positive.
f**(3685/81)
Simplify ((r*(r*r*(r*r**(-6))/r)/r*(r*r**(2/15)*r)/r)/(r**0)**47)/((r*r**(-3)*r**(-1/6))/(r**(-5)/(r**(-3)*r))) assuming r is positive.
r**(-37/10)
Simplify ((p**(-10/3))**6*p**30*p*p**23/p)**(-26) assuming p is positive.
p**(-858)
Simplify (y**(5/2)*y*y*(y*y**(-38)*y*y*y*y)/y)/(((y*y*y**(-1/9)*y*y)/y)/y)**26 assuming y is positive.
y**(-1415/18)
Simplify (((h*h**(2/5)*h)/h**(-6))/(h**(-3/2))**(-10/9))**(1/30) assuming h is positive.
h**(101/450)
Simplify (o*o**(5/2)*o*o*o/o**(4/3)*o*o)/(o**(-4/7)/(o/(o/(o**(3/5)/o))))*(o**(-2/3)/((o/(o/(o**(-7)*o*o)))/o))/(o**1)**(-24/11) assuming o is positive.
o**(11437/770)
Simplify (t**(-1/3)/t*t/(t/((t/(t**3/t))/t)))/(t**3*t**6)*(((t*t**(-1/2)*t*t)/t*t)/t**5)/(t/(t*t*t/(t**(2/5)*t)))**30 assuming t is positive.
t**(19/6)
Simplify ((f**(-2/5)/f**(-1/5))/(f**(-2)/f*f**(2/5)))/(((f**(-2)*f)/f)**(-42))**19 assuming f is positive.
f**(-7968/5)
Simplify ((n*n**(-1))**(-3)*(n**(-1)/n)**(-46))/((n/(n*n**1*n))**(26/7)*n**3*n*n**(-2/7)) assuming n is positive.
n**(670/7)
Simplify (o**5/o**(-1))/((o/(((o/(o**2*o))/o)/o)*o)/o**(-2/7))*(o**(-4)/o*o**(1/3))/(o/(o/o**(2/3))*o*o**(2/3)/o) assuming o is positive.
o**(-44/7)
Simplify (l/l**(-1))**45*(l/(l*l**(-5)))/(l/l**(1/4)*l)*(l/(l**0/l))**(-10/9)*l*l**(-3)*l*l*l**(-6) assuming l is positive.
l**(3061/36)
Simplify (s*s/s**(-2/15)*s*s**(3/4))**35/((s*s/s**0*s)**(2/13)*(s**(-1)*s*s)**(5/2)) assuming s is positive.
s**(20741/156)
Simplify ((k/k**(1/4))**24)**(-4/3)/((k**4/(k*(k*k/(k/(k**1*k)))/k))/(k**3*k*k*k**(-1/4)*k)) assuming k is positive.
k**(-77/4)
Simplify ((q/(((q**0/q)/q*q)/q))**(-14))**(-40)*(q*q*q**(-2/15)*q*q/(q**4/q)*q)/(((q**(2/5)/q)/q)/(q*q*(q*q**(-1/4))/q)) assuming q is positive.
q**(101113/60)
Simplify (m**4*m*m**(3/4)*m**(-5)*m*m**(-2/17))/(((m*m**0)/m)**31/((m**(-2/11)/m)/m**5)) assuming m is positive.
m**(-3403/748)
Simplify (k/(k**(-15/11)/k)*k*k)/(k*k*k/(k/k**18)*k*k)*(k**(-29))**(-2/61) assuming k is positive.
k**(-10525/671)
Simplify p**(-2/73)/(p**(-24)*p)*(p**(-1/17))**(-7/9) assuming p is positive.
p**(257092/11169)
Simplify ((v**17/v**(-7))/(v**(-3))**(-15))**(-9) assuming v is positive.
v**189
Simplify (y/(y/((y*y*y*y/(y*y**(2/9)))/y)))**32/(y/(y/((y/y**2)/y*y*y))*(y/(y/(y/y**0*y)))/y)*(((y*y*y**3)/y)/(y/y**(1/6)))**(-40) assuming y is positive.
y**(-637/9)
Simplify (j*j*j**(2/5)*j*j**(1/11))/(j**(-2/3))**(-3/8)*(j/j**(-1/2))**17/(j**1)**(4/5) assuming j is positive.
j**(6147/220)
Simplify ((d**(-11))**(-27)/((d**(2/5)*d)/d*d/(d*d/(d**(2/5)/d)*d*d)))**(-27) assuming d is positive.
d**(-40527/5)
Simplify (q**(-1/31)/(q/(q*(q/q**25)/q*q*q)))/(q**(2/49))**(1/8) assuming q is positive.
q**(-139975/6076)
Simplify (z*z**(2/9))**24*(z/z**4*z)/(z/((z**(4/5)*z)/z))*((z**5*z)/((z*z/(z*z/z**(1/2)*z))/z))/(z*z**(-1/3)/z*((z/z**(-1))/z*z)/z) assuming z is positive.
z**(1019/30)
Simplify n**7/n**2*(n**(1/2))**21*(n**(1/14)*n/(n**(6/5)/n*n))/(n**0/n)**(7/3) assuming n is positive.
n**(1859/105)
Simplify ((i*i*i/(i*i**(-11/5))*i)/(i*i**31))/(i**(-2/55)*i*(i*i**(1/11))/i) assuming i is positive.
i**(-1532/55)
Simplify ((j**2*j**(-10/9))/(j**9)**(-42))**0 assuming j is positive.
1
Simplify (v**(3/4)*v/v**(1/5)*v*(v/(v*v**(-4/3)))/v**(1/26))**(-48) assuming v is positive.
v**(-11996/65)
Simplify (r**(2/11)*(r**4/r)/r)/(r*r**5*r*r**(2/19))*((r/(r/r**3))/(r/r**(3/4)))**(-19) assuming r is positive.
r**(-47797/836)
Simplify (i*i**(-6)*i)/i**(-7)*i**(-8)*i/i**(2/11)*(i**(-3/7)/i)/i**(-4/3)*(i**(-1/2)*i)**(-17) assuming i is positive.
i**(-5903/462)
Simplify (((q/q**(2/3))/q)**(-42))**(-25)/(((q*(q*q**(1/3))/q)/q)/(q*q*q*q*(q*q**(-8)/q*q)/q*q*q))**(4/15) assuming q is positive.
q**(-31528/45)
Simplify (u*u**(3/7))/u**(-2/131)*(u/(u*u**(-30))*u)/(u*u**(-19)) assuming u is positive.
u**(46257/917)
Simplify ((m/(m**2*m))/m**8)**(-1/6)*(m**(-1))**(-40/3)/(m**(2/7))**(-47) assuming m is positive.
m**(199/7)
Simplify j/(j*j*j**(-1/19))*j**(4/3)/j*j**(-22/5)*j**(-1/33) assuming j is positive.
j**(-15814/3135)
Simplify (q**(1/2)/q)**(-42)*(q/q**(-1/3)*q*q)**(-2/9)*(q*q**(-8/3)*q**7/q)**(-3/7) assuming q is positive.
q**(3478/189)
Simplify (p**(-8/5)*p**(2/3))**(-42)*(p**(-1/2))**(-6/7)/((p**(-4)/p*p)/(p/(p*p**(-2/7)*p)*p)) assuming p is positive.
p**(1537/35)
Simplify ((m**(-12))**(2/73)*m**(-32)*m**(-32))**(-2/109) assuming m is positive.
m**(9392/7957)
Simplify ((n/((n*n/n**(-1/4))/n))/n*(n*n**(-1/2)*n)/n)**(-20)/((n/n**(1/2))**(3/35)*(n**0)**(2/17)) assuming n is positive.
n**(1047/70)
Simplify j**(-3/8)*j**(-2/25)*j/(j*j**6*j)*j*j/((j**(-46)*j)/j*j) assuming j is positive.
j**(7909/200)
Simplify ((r*r**1)/r*r)**(-27/2)*(r/r**0*r)/r**(1/2)*((r**(-5)/r)/(r/(r/(r*r*r/r**3*r))))/(r**5/r*r*r*r*r**0) assuming r is positive.
r**(-79/2)
Simplify (y/(y/(y*y**(-4)))*y/(y/(((((y/(y*y**(-3/5)))/y)/y)/y)/y))*(y**1)**(2/15))/(y**(-1/4)/y**0*y**(-4)/(y*y**(2/17)*y)) assuming y is positive.
y**(103/1020)
Simplify ((n**(-2/29)*n**(-1/2))/((n/(n/(n**(-3/2)*n)))/n*n*(n/(n**(6/5)*n))/n))/((n**(-2/9)/n)**13*n**(-1)/n*n*n**(-8)) assuming n is positive.
n**(35261/1305)
Simplify ((u**1*u**(5/6))/(u**(2/7)*u*u*u**(1/12)))/((u/u**(-5))/(u/u**7))**(4/33) assuming u is positive.
u**(-613/308)
Simplify (((z*z**(1/5)*z*z)/(z*z**(3/4)))/(z**1)**(-45))/((z**(-3)*z**(-2))/(z**(-2/7))**(-46)) assuming z is positive.
z**(9043/140)
Simplify (q**(-12)*q**(1/2)*q*q)/((q/(q*q**(-40))*q*q)/(q/(q**(12/13)*q))) assuming q is positive.
q**(-1363/26)
Simplify ((k**(3/10)*k/(k**(1/6)*k))/(k/((k/k**(2/9))/k)*k)**27)**(2/5) assuming k is positive.
k**(-1796/75)
Simplify ((x**(8/7)/x**14)/(x**(2/15)/x*x**(-26)/x))**(-16) assuming x is positive.
x**(-25216/105)
Simplify ((w/w**(-3/4)*w*w/w**5)/(w**(-2/3)/w**(-8)))/((w**(-3))**(-29))**(5/3) assuming w is positive.
w**(-1843/12)
Simplify (((y*y**1*y)/((y**24*y)/y))/(y**3*y*y*y/y**(2/23)))**(3/41) assuming y is positive.
y**(-1857/943)
Simplify (t**(-2)/(t/(t/(t**6*t))))/(t**(-3/5)/t**(-7))*(t**(-2)*t**0*t)/(t*t*t**4*t*t**6) assuming t is positive.
t**(-147/5)
Simplify ((r**(-34)*r)**(-2/39)*r/(r*r**26*r*r)*r**25)**(-1/35) assuming r is positive.
r**(17/455)
Simplify ((u**(4/7)*u*u**(-2/3))/(u*u**(-3/7))**(-35))**(-5) assuming u is positive.
u**(-2195/21)
Simplify
|
{
"pile_set_name": "DM Mathematics"
}
|
1818439, -1818451, -1818465?
-r**2 - 5*r - 1818415
What is the w'th term of -131410, -264188, -396966, -529744, -662522, -795300?
-132778*w + 1368
What is the z'th term of 146066, 291373, 436680, 581987, 727294?
145307*z + 759
What is the p'th term of -156833, -311202, -465571, -619940, -774309?
-154369*p - 2464
What is the b'th term of 17955, 37632, 57343, 77106, 96939?
3*b**3 - b**2 + 19659*b - 1706
What is the i'th term of -1931253, -7724947, -17381103, -30899721, -48280801, -69524343, -94630347?
-1931231*i**2 - i - 21
What is the h'th term of 10527726, 10527728, 10527730, 10527732, 10527734?
2*h + 10527724
What is the d'th term of -70213, -139604, -208995, -278386, -347777?
-69391*d - 822
What is the c'th term of 6910484, 13820968, 20731462, 27641972, 34552504, 41463064?
c**3 - c**2 + 6910480*c + 4
What is the r'th term of 10089378, 10089383, 10089388, 10089393, 10089398, 10089403?
5*r + 10089373
What is the f'th term of -50408, -202160, -455228, -809606, -1265288?
f**3 - 50664*f**2 + 233*f + 22
What is the r'th term of -123623, -123625, -123621, -123611, -123595, -123573, -123545?
3*r**2 - 11*r - 123615
What is the d'th term of -7552750, -7552749, -7552748, -7552747, -7552746, -7552745?
d - 7552751
What is the p'th term of 1318499, 5273972, 11866427, 21095864, 32962283?
1318491*p**2 + 8
What is the j'th term of 10860420, 10860423, 10860424, 10860423?
-j**2 + 6*j + 10860415
What is the j'th term of 108741, 217473, 326185, 434871, 543525, 652141?
-j**3 - 4*j**2 + 108751*j - 5
What is the j'th term of -127615, -123986, -120357?
3629*j - 131244
What is the q'th term of -58037042, -116074079, -174111112, -232148141, -290185166?
2*q**2 - 58037043*q - 1
What is the r'th term of -1352766, -10822250, -36525132, -86578110, -169097882?
-1352783*r**3 - r**2 + 18
What is the j'th term of -5179, -4109, -2319, 197, 3445, 7431?
j**3 + 354*j**2 + j - 5535
What is the f'th term of 374029483, 374029478, 374029473, 374029468, 374029463?
-5*f + 374029488
What is the y'th term of -64, -506, -1372, -2662, -4376?
-212*y**2 + 194*y - 46
What is the u'th term of 17321, 17866, 18765, 20012, 21601, 23526?
-u**3 + 183*u**2 + 3*u + 17136
What is the u'th term of 210177, 420340, 630503, 840666, 1050829, 1260992?
210163*u + 14
What is the v'th term of 3324, 47033, 119882, 221871, 353000, 513269, 702678?
14570*v**2 - v - 11245
What is the x'th term of -16573365, -16573362, -16573359, -16573356, -16573353, -16573350?
3*x - 16573368
What is the b'th term of 5100, 9843, 14232, 18267, 21948, 25275, 28248?
-177*b**2 + 5274*b + 3
What is the k'th term of -275853, -551708, -827563, -1103418?
-275855*k + 2
What is the j'th term of 12155, 49634, 112099, 199550, 311987, 449410, 611819?
12493*j**2 - 338
What is the l'th term of 116735, 233401, 350067, 466733, 583399, 700065?
116666*l + 69
What is the c'th term of 1915, 8182, 18621, 33232, 52015, 74970, 102097?
2086*c**2 + 9*c - 180
What is the u'th term of 28212676, 28212670, 28212664, 28212658, 28212652?
-6*u + 28212682
What is the j'th term of -24299, -23945, -23585, -23219, -22847, -22469, -22085?
3*j**2 + 345*j - 24647
What is the p'th term of 75549, 121907, 168265, 214623?
46358*p + 29191
What is the p'th term of -1755, -2624, -3485, -4338?
4*p**2 - 881*p - 878
What is the d'th term of 5151094, 5151147, 5151200, 5151253, 5151306, 5151359?
53*d + 5151041
What is the b'th term of 22147, 43804, 65461, 87118, 108775, 130432?
21657*b + 490
What is the w'th term of 11100, 10704, 9624, 7518, 4044, -1140?
-57*w**3 + 3*w + 11154
What is the y'th term of 5848642, 5848603, 5848578, 5848573, 5848594, 5848647, 5848738?
y**3 + y**2 - 49*y + 5848689
What is the u'th term of -7540, -60458, -204086, -483778, -944888, -1632770, -2592778?
-7559*u**3 - u**2 - 2*u + 22
What is the p'th term of -1687368977, -1687368981, -1687368987, -1687368995, -1687369005?
-p**2 - p - 1687368975
What is the h'th term of 12071, 13042, 14017, 14996, 15979, 16966?
2*h**2 + 965*h + 11104
What is the m'th term of 175248, 350777, 526306?
175529*m - 281
What is the w'th term of -3440, -4661, -5884, -7109?
-w**2 - 1218*w - 2221
What is the x'th term of 34686967, 34686969, 34686971, 34686973, 34686975?
2*x + 34686965
What is the o'th term of 847710, 1695429, 2543148, 3390867, 4238586, 5086305?
847719*o - 9
What is the n'th term of 1263, 8698, 28891, 68226, 133087, 229858, 364923, 544666?
1064*n**3 - 5*n**2 + 2*n + 202
What is the a'th term of -4086780552, -4086780553, -4086780554, -4086780555, -4086780556, -4086780557?
-a - 4086780551
What is the k'th term of -498, -1310, -2204, -3186, -4262, -5438?
-k**3 - 35*k**2 - 700*k + 238
What is the d'th term of -200479751, -200479752, -200479753, -200479754?
-d - 200479750
What is the w'th term of 6761732, 6761787, 6761842, 6761897?
55*w + 6761677
What is the r'th term of -358332, -716457, -1074592, -1432743, -1790916, -2149117?
-r**3 + r**2 - 358121*r - 211
What is the c'th term of 1739375, 3478751, 5218127, 6957503, 8696879?
1739376*c - 1
What is the l'th term of -154502, -154484, -154440, -154358, -154226, -154032, -153764, -153410?
2*l**3 + l**2 + l - 154506
What is the s'th term of 719788, 719802, 719816, 719824, 719820, 719798?
-s**3 + 6*s**2 + 3*s + 719780
What is the m'th term of -374058, -374172, -374286, -374400?
-114*m - 373944
What is the v'th term of 378, 2622, 8482, 19692, 37986?
289*v**3 + 74*v**2 - v + 16
What is the y'th term of 153, 263, 423, 663, 1013?
5*y**3 - 5*y**2 + 90*y + 63
What is the w'th term of -7589, -15637, -24141, -33101, -42517, -52389, -62717?
-228*w**2 - 7364*w + 3
What is the c'th term of -764188, -1528376, -2292564, -3056752, -3820940, -4585128?
-764188*c
What is the j'th term of -1451959, -5807826, -13067603, -23231290?
-1451955*j**2 - 2*j - 2
What is the q'th term of -35096, -140908, -317404, -564584, -882448?
-35342*q**2 + 214*q + 32
What is the a'th term of 3509, 4582, 6371, 8882, 12121, 16094?
a**3 + 352*a**2 + 10*a + 3146
What is the d'th term of -11740, -47315, -106604, -189601, -296300, -426695?
d**3 - 11863*d**2 + 7*d + 115
What is the y'th term of -45, -194, -449, -786, -1181, -1610, -2049?
4*y**3 - 77*y**2 + 54*y - 26
What is the j'th term of 171, 433, 815, 1317, 1939, 2681?
60*j**2 + 82*j + 29
What is the r'th term of 177294, 177468, 177758, 178164, 178686?
58*r**2 + 177236
What is the v'th term of -25482, -25485, -25512, -25575, -25686?
-2*v**3 + 11*v - 25491
What is the u'th term of -4782, -19174, -43130, -76626, -119638, -172142?
4*u**3 - 4806*u**2 - 2*u + 22
What is the m'th term of 5027134, 10054119, 15081104, 20108089?
5026985*m + 149
What is the w'th term of -10608, -42294, -94824, -167970, -261504, -375198, -508824?
38*w**3 - 10650*w**2 - 2*w + 6
What is the n'th term of -14076, -27680, -40812, -53478, -65684, -77436, -88740?
-n**3 + 242*n**2 - 14323*n + 6
What is the v'th term of -62564133, -125128267, -187692401, -250256535?
-62564134*v + 1
What is the q'th term of -43562, -87468, -131374, -175280, -219186?
-43906*q + 344
What is the h'th term of 108846, 108747, 108648, 108549?
-99*h + 108945
What is the d'th term of -113, -291, -767, -1685, -3189, -5423?
-24*d**3 - 5*d**2 + 5*d - 89
What is the v'th term of -73767, -147430, -220901, -294084, -366883, -439202, -510945?
16*v**3 - 73775*v - 8
What is the h'th term of 1555, 6776, 15421, 27484, 42959, 61840?
-h**3 + 1718*h**2 + 74*h - 236
What is the z'th term of -74, -952, -3362, -8078, -15874?
-129*z**3 + 8*z**2 + z + 46
What is the s'th term of -55421, -221667, -498741, -886643, -1385373, -1994931, -2715317?
-55414*s**2 - 4*s - 3
What is the t'th term of 460560, 460714, 460870, 461028, 461188, 461350?
t**2 + 151*t + 460408
What is the m'th term of 9909828, 9909826, 9909824?
-2*m + 9909830
What is the t'th term of -1340, -10714, -36148, -85670, -167308?
-1338*t**3 - 2*t**2 - 2*t + 2
What is the j'th term of 76873, 307456, 691761, 1229788, 1921537?
76861*j**2 + 12
What is the y'th term of -8593, -9087, -9581, -10075?
-494*y - 8099
What is the j'th term of 5154, 5028, 4850, 4614, 4314, 3944, 3498?
-j**3 - 20*j**2 - 59*j + 5234
What is the n'th term of 1037, 425, -1229, -4441, -9727, -17603, -28585?
-86*n**3 - 5*n**2 + 5*n + 1123
What is the a'th term of 12997, 102749, 346363, 820771, 1602905, 2769697, 4398079?
12822*a**3
|
{
"pile_set_name": "DM Mathematics"
}
|
is the h'th term of -726, -730, -738, -750, -766, -786, -810?
-2*h**2 + 2*h - 726
What is the d'th term of -191, -411, -617, -803, -963?
d**3 + d**2 - 230*d + 37
What is the q'th term of 3, 59, 151, 297, 515?
3*q**3 + 35*q - 35
What is the g'th term of 60, 217, 486, 873, 1384?
g**3 + 50*g**2 + 9
What is the g'th term of -4549, -9101, -13653, -18205, -22757, -27309?
-4552*g + 3
What is the z'th term of 61, 70, 89, 124, 181, 266?
z**3 - z**2 + 5*z + 56
What is the q'th term of 2362, 2357, 2338, 2299, 2234, 2137?
-q**3 - q**2 + 5*q + 2359
What is the g'th term of -184, -192, -200, -208?
-8*g - 176
What is the i'th term of -8, 18, 60, 124, 216, 342, 508, 720?
i**3 + 2*i**2 + 13*i - 24
What is the k'th term of 2843, 2847, 2851?
4*k + 2839
What is the p'th term of -144, -141, -138, -135?
3*p - 147
What is the y'th term of -133, -129, -125?
4*y - 137
What is the l'th term of -9765, -9764, -9763, -9762, -9761?
l - 9766
What is the l'th term of -1361, -1353, -1345?
8*l - 1369
What is the a'th term of -164, -168, -176, -188, -204, -224, -248?
-2*a**2 + 2*a - 164
What is the u'th term of 10710, 10708, 10706, 10704, 10702, 10700?
-2*u + 10712
What is the y'th term of -33, -86, -175, -300, -461, -658, -891?
-18*y**2 + y - 16
What is the n'th term of 12, -33, -164, -423, -852, -1493, -2388?
-7*n**3 - n**2 + 7*n + 13
What is the y'th term of 74, 153, 234, 317?
y**2 + 76*y - 3
What is the k'th term of -223, -430, -641, -856, -1075, -1298?
-2*k**2 - 201*k - 20
What is the w'th term of 578, 584, 600, 632, 686, 768, 884?
w**3 - w**2 + 2*w + 576
What is the u'th term of 63, 100, 137, 174?
37*u + 26
What is the f'th term of 43, 39, 33, 25, 15, 3?
-f**2 - f + 45
What is the f'th term of -2110, -4218, -6326?
-2108*f - 2
What is the x'th term of -65, -134, -203, -272?
-69*x + 4
What is the z'th term of 88, 89, 90?
z + 87
What is the m'th term of 145, 221, 311, 421, 557, 725, 931, 1181?
m**3 + m**2 + 66*m + 77
What is the o'th term of -36, -65, -94, -123, -152, -181?
-29*o - 7
What is the x'th term of -22, -163, -400, -733, -1162, -1687, -2308?
-48*x**2 + 3*x + 23
What is the q'th term of -58, -50, -52, -70, -110, -178, -280, -422?
-q**3 + q**2 + 12*q - 70
What is the i'th term of 167, 164, 161?
-3*i + 170
What is the o'th term of 411, 808, 1193, 1560, 1903, 2216, 2493?
-o**3 + 404*o + 8
What is the i'th term of 222, 233, 258, 303, 374, 477, 618, 803?
i**3 + i**2 + i + 219
What is the v'th term of 241, 206, 171, 136?
-35*v + 276
What is the u'th term of 21, 27, 31, 27, 9, -29, -93?
-u**3 + 5*u**2 - 2*u + 19
What is the b'th term of -4, -14, -36, -76, -140, -234, -364, -536?
-b**3 - 3*b
What is the f'th term of 2, -2, -12, -28, -50, -78, -112?
-3*f**2 + 5*f
What is the m'th term of -37, -70, -107, -148?
-2*m**2 - 27*m - 8
What is the p'th term of 232, 274, 316?
42*p + 190
What is the a'th term of -107, -101, -85, -53, 1, 83, 199?
a**3 - a**2 + 2*a - 109
What is the u'th term of 70, 71, 72, 73, 74?
u + 69
What is the p'th term of 153, 152, 151, 150, 149?
-p + 154
What is the z'th term of 91, 104, 117, 130?
13*z + 78
What is the h'th term of -83, -90, -103, -122, -147, -178, -215?
-3*h**2 + 2*h - 82
What is the l'th term of 510, 511, 512, 513?
l + 509
What is the x'th term of 81, 214, 401, 642, 937, 1286, 1689?
27*x**2 + 52*x + 2
What is the k'th term of -26, -18, -4, 16, 42, 74, 112?
3*k**2 - k - 28
What is the j'th term of -36, -61, -78, -87, -88?
4*j**2 - 37*j - 3
What is the b'th term of 726, 725, 724, 723, 722?
-b + 727
What is the k'th term of -40, -100, -206, -364, -580, -860, -1210, -1636?
-k**3 - 17*k**2 - 2*k - 20
What is the r'th term of -31, -19, 17, 89, 209, 389?
2*r**3 - 2*r - 31
What is the l'th term of 12, 40, 82, 138, 208?
7*l**2 + 7*l - 2
What is the b'th term of -19, -24, -29, -34, -39, -44?
-5*b - 14
What is the z'th term of 1511, 1504, 1493, 1478, 1459?
-2*z**2 - z + 1514
What is the y'th term of 22, 107, 256, 475, 770?
y**3 + 26*y**2 - 5
What is the r'th term of -3, -21, -49, -87?
-5*r**2 - 3*r + 5
What is the j'th term of -40, -64, -76, -70, -40, 20?
j**3 - 31*j - 10
What is the z'th term of 79, 215, 449, 787, 1235, 1799, 2485?
z**3 + 43*z**2 + 35
What is the n'th term of -84, -73, -46, 3, 80, 191?
n**3 + 2*n**2 - 2*n - 85
What is the b'th term of 65, -22, -119, -232, -367, -530?
-b**3 + b**2 - 83*b + 148
What is the j'th term of 101, 187, 273, 359, 445, 531?
86*j + 15
What is the k'th term of 109, 231, 353, 475, 597?
122*k - 13
What is the z'th term of -75, -68, -61, -54, -47, -40?
7*z - 82
What is the u'th term of -901, -1801, -2699, -3595, -4489, -5381, -6271?
u**2 - 903*u + 1
What is the q'th term of 4087, 8178, 12283, 16408, 20559, 24742?
q**3 + q**2 + 4081*q + 4
What is the p'th term of 1431, 5707, 12825, 22779, 35563, 51171, 69597?
-p**3 + 1427*p**2 + 2*p + 3
What is the c'th term of 66, 90, 114, 138, 162?
24*c + 42
What is the n'th term of 761, 1528, 2303, 3092, 3901, 4736, 5603?
n**3 - 2*n**2 + 766*n - 4
What is the y'th term of -531, -1064, -1597, -2130, -2663?
-533*y + 2
What is the c'th term of 8750, 17498, 26234, 34952, 43646, 52310, 60938?
-c**3 + 8755*c - 4
What is the i'th term of 90, 180, 272, 366, 462?
i**2 + 87*i + 2
What is the k'th term of -10, -104, -198?
-94*k + 84
What is the i'th term of 273, 291, 309, 327?
18*i + 255
What is the o'th term of 375, 365, 333, 267, 155, -15, -255, -577?
-2*o**3 + o**2 + o + 375
What is the b'th term of 19602, 19600, 19598, 19596, 19594?
-2*b + 19604
What is the n'th term of -23, -27, -27, -23, -15?
2*n**2 - 10*n - 15
What is the t'th term of -634, -1265, -1896, -2527, -3158, -3789?
-631*t - 3
What is the h'th term of 2624, 2622, 2620, 2618, 2616?
-2*h + 2626
What is the j'th term of 60, 228, 508, 900, 1404, 2020?
56*j**2 + 4
What is the z'th term of -298, -303, -320, -355, -414, -503?
-z**3 + 2*z - 299
What is the k'th term of -18, -28, -38, -48, -58, -68?
-10*k - 8
What is the z'th term of -36, -28, -8, 30, 92, 184, 312, 482?
z**3 + z - 38
What is the h'th term of -32, -50, -86, -146, -236, -362?
-h**3 - 3*h**2 - 2*h - 26
What is the a'th term of 696, 697, 698, 699, 700, 701?
a + 695
What is the l'th term of -10, -29, -60, -103, -158?
-6*l**2 - l - 3
What is the z'th term of -700, -693, -682, -667?
2*z**2 + z - 703
What is the f'th term of 164, 179, 182, 167, 128, 59, -46?
-f**3 + 22*f + 143
What is the w'th term of 2, 57, 218, 539, 1074, 1877, 3002?
9*w**3 - w**2 - 5*w - 1
What is the j'th term of -59, -114, -169?
-55*j - 4
What is the d'th term of 10, 51, 120, 217, 342, 495, 676?
14*d**2 - d - 3
What is the t'th term of -707, -704, -699, -692, -683, -672, -659?
t**2 - 708
What is the n'th term of 0, 9, 26, 57, 108?
n**3 - 2*n**2 + 8*n - 7
What is the m'th term of -11, -10, 1, 28, 77, 154, 265, 416?
m**3 - m**2 - 3*m - 8
What is the m'th term of 5329, 5330, 5333, 5338, 5345?
m**2 - 2*m + 5330
What is the d'th term of -22, -62, -140, -274, -482, -782, -1192?
-3*d**3 - d**2 - 16*d - 2
What is the j'th term of 104, 318, 676, 1178, 1824, 2614, 3548?
72*j**2 - 2*j + 34
What is the q'th term of -185, -188, -185, -170, -137?
q**3 - 3*q**2 - q - 182
What is the c'th term of 337, 363, 389, 415, 441, 467?
26*c + 311
What is the k'th term of 13, 54, 87, 106, 105, 78, 19, -78?
-k**3 + 2*k**2 + 42*k - 30
What is the x'th term of 1356, 2710, 4064?
1354*x + 2
What is the w'th term of -276, -282, -290, -300, -312?
-w**2 - 3*w - 272
What is the g'th term of 287, 284, 257, 194, 83, -88, -331?
-2*g**3 + 11*g + 278
What is the q'th term of -75, -153, -231, -309, -387?
-78*q + 3
What is the i'th term of 1974, 3945, 5918, 7893, 9870?
i**2 + 1968*i + 5
What is the u'th term of -2603, -5202, -7797, -10388?
2*u**2 - 2605*u
What is the b'th term of -24, -45, -74, -111, -156, -209, -270?
-4*b**2 - 9*b - 11
What is the c'th term of 4384, 4390, 4398, 4408, 4420, 4434, 4450?
c**2 + 3*c + 4380
What is the d'th term of -19, -68, -149, -268, -431, -644, -913?
-d**3 - 10*d**2 - 12*d + 4
What is the b'th term of 18, 61, 124, 213, 334, 493, 696?
b**3 + 4*b**2 + 24*b - 11
What is the s'th term of 27, 56, 85, 114?
29*s - 2
What is the k'th term of -3778, -7526, -11260, -14974, -18662, -22318, -25936?
k**3 + k**2 - 3758*k - 22
What is the y'th term of -55, -138, -223, -310, -399, -490, -583?
-y**2 - 80*y + 26
What is the z't
|
{
"pile_set_name": "DM Mathematics"
}
|
v(w) = -45*w + 680. Let x be v(15). What is the closest to -2 in x, -2/13, 0, -6?
-2/13
Let q = 0.8377 - -0.1623. What is the closest to q in 0, 3, 4/7, 1/6?
4/7
Suppose 7 + 25 = 4*w. Suppose 2 = j, -2*z = 3*j - 4*j - 8. Suppose -2*v - z*r = -w, 0 = 2*r - 2 - 2. Which is the nearest to 0.2? (a) v (b) -0.3 (c) 2
b
Let y be (21/(-56))/(-5 + (-102)/(-24)). Which is the nearest to -0.3? (a) 0 (b) -6 (c) y
a
Let z = 5570.1 - 5570. Let l = -188/3 - -62. What is the closest to l in -4, z, -1/7?
-1/7
Let p = 26.41 - 26.4. What is the closest to 0 in -2/3, 0.22, -0.1, p?
p
Let l = 0.14 + 0.06. Let b = -8 + 12. Suppose 4*f + 3*j - 6 = j, -3*f + 17 = b*j. What is the closest to f in -3, l, -5?
l
Let r = -0.3636 + -1.6364. Let s = 1052/15 - 70. Suppose 4*t - 6 = 2*t. Which is the closest to r? (a) 0.1 (b) s (c) t
a
Let n = -0.216 - -0.316. What is the nearest to 1 in 3, 0, n?
n
Let x = 0.3 + -0.5. Let k = 7931/9 + -881. Let f be ((-3)/14)/((-9)/(-12)). Which is the closest to 1? (a) x (b) f (c) k
c
Let s(p) = 2*p + 43. Let z be s(-21). Which is the closest to z? (a) -0.5 (b) 1 (c) -2/7
b
Let q = 14 + -11. Let n be ((-4)/q)/((-368)/24). Let k = 99/224 + -5/32. Which is the nearest to k? (a) n (b) 1 (c) 0.4
c
Let h = 36.59 + -0.59. Let y = -36 + h. Let j be 0/1 + 1 + 1. Which is the closest to y? (a) j (b) 3/5 (c) -2/9
c
Let d = 7.0097 + -0.0097. What is the closest to -1/3 in -1/4, 2, 3, d?
-1/4
Let y = 4.006 + -0.006. Let o = 27.3 - 24. Let n = 3 - o. Which is the nearest to -0.1? (a) n (b) 0 (c) y
b
Let h = 3 + 0. Suppose -5*p = -t - 19, 4 = -h*p - 4*t - 3. Let x be p + (91/4)/(-7). Which is the nearest to -0.2? (a) x (b) -4 (c) 3/4
a
Let u = -2/549 + 3308/3843. Let f = -167/2 - -84. Which is the closest to -1? (a) 0.3 (b) u (c) f
a
Let f = -372 - -1854/5. Let y be ((-2)/3)/((-56)/21). Which is the nearest to -1? (a) y (b) 2 (c) f
c
Let d = -4.43 - -4.93. Let r be ((-1)/2)/(1/(-2)). Which is the closest to d? (a) -0.3 (b) r (c) -5
b
Let h = -2 + 2.3. Let k = 30 - -46. Let q = -71 + k. What is the nearest to 7 in h, q, -3/5?
q
Let g = 0 - 20. Let u be g + 6 + 1*3. Let w be u/(-33) - (-1)/15. Which is the nearest to w? (a) 1/4 (b) -3 (c) 0.05
a
Let p = 1.788 + -1.588. Which is the closest to p? (a) -1/2 (b) 16 (c) 1/3
c
Suppose -49*x - 488 = -403*x + 220. Let m = -0.3 - -0.4. What is the closest to m in 8, x, -0.4?
-0.4
Let j = 171 - 19.5. Let v = -152 + j. What is the nearest to 1/2 in v, -5, -0.1?
-0.1
Let v = -511 + 506. Which is the closest to v? (a) -8 (b) 0.5 (c) 2/9 (d) -4
d
Let x(c) = -c**2 - c**3 + 83 + 2*c**3 - 85 + c + c**3. Let f be x(1). Let m = 14/5 - 51/20. What is the closest to m in f, -5, -4?
f
Let o = 32 - 27.8. Let c = o - 0.2. Let w = -11.6 - -12. What is the nearest to -1 in c, 0.2, w?
0.2
Suppose 0 = 2*s + 60 + 92. Let q = s + 230/3. Let h = -5 - -8. What is the closest to -0.1 in q, h, 1/2?
1/2
Suppose c - 10 = -5*p, p - 2*p - 19 = -4*c. Let l be p + 0 + (0 - 1). Suppose 5*n + 5*v - 10 = 8*n, v = 2. What is the closest to n in l, 3/7, -4?
l
Let c = 74.2 - 74. Suppose 2*i - 8 = -0*i. Suppose 14 - 20 = 6*m. What is the nearest to i in 4, c, m?
4
Let w be (-12)/(-14) - (1 + 0). Let n = 55 + -53. Which is the closest to n? (a) 4 (b) w (c) 3
c
Let q be 3/(-19)*(-8)/(-12). Let d = 0.56 - 0.06. Let g = -1.5 - d. Which is the nearest to 2/5? (a) 0.4 (b) g (c) q
a
Let u = -5.059 - -0.059. Let j = -14 + 10. Let n = 1 + j. What is the nearest to -1 in n, 1/3, u?
1/3
Let y = 100 - 99.9. Let m = 0.04 + 0.46. Let v = 3.96 - -0.04. Which is the closest to y? (a) v (b) 1 (c) m
c
Let n = -53.5 + -0.5. Let i = -50 - n. Which is the nearest to 1/4? (a) i (b) 0 (c) -0.3
b
Let h = 2.7 - 1.3. Let c = -1.51 + -0.09. Let r = h - c. What is the nearest to 2 in r, 0.1, 0?
r
Let z = 922 - 915. Which is the closest to 4? (a) z (b) 3/7 (c) -2 (d) 3
d
Let u = -2061 + 2061.4. Which is the closest to -2? (a) 2/3 (b) 0.09 (c) u (d) -4
d
Let l be (4/(-1) - -1)*1. Let d = -1 - -4. Let o = -5 + d. Which is the closest to -1? (a) -5 (b) o (c) l
b
Let m = 310/737 - 16/67. Let t = 107 - 325/3. Let y be ((-5)/4)/((-3)/(-4)). Which is the closest to -1? (a) m (b) t (c) y
b
Suppose -5*m + 2*s = 9, 5*m + 13 + 17 = -5*s. Which is the closest to 304? (a) m (b) -2 (c) -3/5
c
Let m = 565 - 565.5. What is the nearest to 1 in m, 1, 1.1, 4?
1
Let s = -31/3 + 10. Suppose -4*n - 1 = -3*y, 0*y + 4*y + 20 = 0. What is the closest to n in 1, s, 3?
s
Let c be (-15)/12*(-4)/(-30). Let y(i) = i**3 - i**2 - 5*i + 5. Let r be y(2). Let a be 2/r*(-19)/76. What is the closest to -2/7 in 5, c, a?
c
Let m be (-634)/(-18) - 10/45. Let a = m - 34. What is the closest to -1 in 2/25, 1/5, a?
2/25
Let w(y) = 29*y + 116. Let p be w(-4). Which is the nearest to 3? (a) -4 (b) p (c) 4 (d) 0.24
c
Let c be (20/(-15))/(16/48). Let d = 1 + 2. What is the closest to 0.2 in d, c, 2?
2
Let l(h) = h**3 + 10*h**2 + 4*h + 35. Let v be l(-10). Which is the closest to v? (a) 5/4 (b) 2/13 (c) -2/15 (d) -2/9
d
Let k = 1144 + -1146. Which is the closest to k? (a) 3 (b) -2/3 (c) -2 (d) 0.06
c
Let y be ((-2)/(-24))/((-2)/(-4)). Suppose 5*t = 23 - 18. Suppose -39*n + 6 = -36*n. Which is the nearest to n? (a) t (b) y (c) 0.5
a
Let p = -11 + 21. Let u = 9.4 - p. Let y = u + 0.7. Which is the closest to y? (a) 2/5 (b) -3 (c) 2
a
Let f = 0.0236 - 0.0036. Let r = -4.1 - -0.1. What is the nearest to 1/4 in r, 2/7, f?
2/7
Let r = -1.17 + 0.87. Let m = -0.61 - -0.11. Which is the closest to -2/3? (a) -2 (b) m (c) r
b
Let u = -163 - -159.35. Let w = u + -0.35. Which is the closest to 0? (a) -0.4 (b) w (c) -0.2
c
Let a = 476 - 476. What is the closest to a in -0.14, 2, -5?
-0.14
Let z be (-4)/45 - ((-1064)/(-105) - 10). What is the nearest to -1/14 in z, 3/4, 0, 2/7?
0
Let s = -0.3 + -0.1. Let d = 0.0487 - 0.3487. Suppose -4*j + 2*l = -8, 5*j - 7 = 2*j + l. Which is the nearest to -0.1? (a) j (b) d (c) s
b
Let y = 34 + -23.8. Let q = y - 7.2. What is the nearest to -0.4 in -0.1, -1/3, q?
-1/3
Let z = -20 + 25. Let u be (-2)/(-6)*(-3)/z. Suppose 5*w + 3 + 2 = 0. Which is the nearest to w? (a) 3 (b) 1/6 (c) u
c
Let u be (2 - (-34)/(-30)) + 73/(-365). What is the nearest to -1/3 in -9, u, 4/5, 0.2?
0.2
Let v = -0.04 + -0.46. Let f = -286 - -285. What is the nearest to 1/3 in v, 3, f?
v
Let c = -10/3 + 3. Let p = -903 - -4531/5. Let f = -3 + p. What is the closest to c in 0, -5/3, f?
0
Let o = -301/6 - -50. Let m = 2853 + -2858. Let z be (-4)/(-18) - 16/(-90). Which is the closest to z? (a) o (b) m (c) -2/13
c
Let f = -3 + 2. Let t be (f + (-7)/(-9))*-3. Let m be 6/(-9)*(-2)/(-4). What is the nearest to 2 in t, -0.5, m?
t
Let g be (2/(-2))/((-2)/(-10)). Let y = -211 + 117. Let x = y + 96. Which is the nearest to 1/2? (a) g (b) -2/9 (c) x
b
Let x = -0.76 - -7.16. Let t = x + -6. Let j = 1299.1 - 1299. Which is the nearest to 0? (a) t (b) j (c) 4
b
Let o = 10283/30 - 1028/3. What is the nearest to o in 4, 0.2, 2/13?
2/13
Let r be (-64)/(-96) - (-2)/3. Which is the closest to -0.2? (a) -0.1 (b) -1 (c) r
a
Let u = 12.2 + -12. Let w = 2.59 + -0.09. Let z = w - 0.5. Which is the closest to u? (a) 0.3 (b) z (c) -0.5
a
Let g = 106/3 - 35. Let q = 833/5 - 166. Which is the closest to 2/7? (a) q (b) g (c) 1
b
Let r = -11.3 - -2.3. Let h = 9.7 - 0.7. Let d = h + r. Which is the nearest to 0? (a) -2 (b) 4 (c) d
c
Let y be 6028/(-11645) + -2*2/(-34). Let t = 1 + -1.4. Which is the closest to y? (a) 2 (b) t (c) 1
b
Let g be 458354/(-3060) + 1/(-9). Let v be ((-1)/(-1))/(-1) - -151. Let h = g + v. What is the closest to -2 in -2, h, 2?
-2
Let m = -34.31 + 34. Let o = -0.61 - m. Let u = -1 + -1. What is the nearest to u in 0, -1, o?
-1
Let l = 542 - 538. What is the nearest to 1/4 in 0.5, -0.035, l?
0.5
Let h be (-2)/(-3) + 104/24. Which is the closest to -1/2? (a) 1/3 (b) h (c) 1/5
c
Let q = -1503.9 - -1503. Which is the nearest to q? (a) 2 (b) 0.3 (c) 1/9
c
Let f be ((-330)/14)/(6/(-21)). Let o = f + -81. Suppose -4*l + 14 = -6. Which is the closest to 1/4? (a) l (b) o (c) 2/3
c
Let g = 112 + -92.9. Let j = g - -0.9. Let p = -18 + j. What is the nearest to -0.1 in -3/5, -1/5, p?
-1/5
Let s be (4 + -5)/(-1 -
|
{
"pile_set_name": "DM Mathematics"
}
|
493.
477
Calculate the greatest common factor of 4082 and 1867762.
26
What is the greatest common factor of 84212 and 733636?
148
What is the greatest common divisor of 230 and 56379670?
230
What is the greatest common divisor of 82493191 and 55?
11
What is the highest common divisor of 3470791 and 4348?
1087
What is the highest common divisor of 258 and 28774396?
86
Calculate the highest common factor of 469054 and 40.
2
What is the highest common factor of 1275615 and 34360?
4295
What is the greatest common divisor of 274773270 and 60?
30
Calculate the greatest common divisor of 51 and 4076651.
17
What is the highest common factor of 2754 and 1352384?
34
Calculate the highest common factor of 9911678 and 174.
58
What is the greatest common divisor of 373037 and 5341?
49
Calculate the greatest common factor of 36 and 183627117.
9
Calculate the highest common divisor of 1880 and 92855080.
1880
Calculate the greatest common factor of 558487 and 688154.
1021
Calculate the greatest common factor of 5115 and 5051667.
93
Calculate the greatest common factor of 20196 and 179618175.
5049
Calculate the highest common divisor of 496188627 and 99.
33
Calculate the highest common factor of 2044 and 13098244.
292
Calculate the greatest common divisor of 918335 and 1888.
59
What is the highest common divisor of 5878807 and 152207?
1507
What is the greatest common divisor of 36720 and 13778640?
2160
Calculate the highest common factor of 1025464 and 6233.
271
What is the highest common divisor of 2009526387 and 66?
33
Calculate the greatest common factor of 2616 and 11617220.
436
Calculate the highest common factor of 866090 and 270.
10
Calculate the highest common factor of 945 and 4654440.
315
Calculate the greatest common divisor of 186 and 835603233.
93
Calculate the highest common factor of 205 and 66492529.
41
What is the greatest common divisor of 369587 and 3404?
23
Calculate the highest common factor of 8802 and 227124.
54
What is the highest common divisor of 11580 and 8445?
15
What is the highest common divisor of 644424273 and 1161?
387
What is the greatest common divisor of 4396734776 and 116?
116
Calculate the highest common divisor of 1014797 and 25984.
203
Calculate the greatest common divisor of 44075304 and 1798.
62
Calculate the highest common divisor of 9297 and 4454296.
1033
What is the highest common factor of 4987025 and 1900?
475
Calculate the highest common divisor of 7268450 and 150.
50
Calculate the highest common divisor of 6008 and 49976797.
751
What is the greatest common factor of 207255 and 3260475?
5055
What is the highest common divisor of 1568920 and 3965?
305
Calculate the highest common factor of 744 and 6358614.
6
Calculate the highest common divisor of 165 and 53883060.
165
Calculate the highest common factor of 9968 and 8489176.
712
What is the greatest common divisor of 105194 and 8582136?
706
Calculate the highest common divisor of 432624 and 12888.
24
Calculate the greatest common factor of 9004050 and 1315800.
7650
What is the highest common factor of 2576486 and 2739?
913
What is the greatest common factor of 202904 and 10712?
104
Calculate the greatest common factor of 1014284 and 215.
43
What is the highest common divisor of 687306 and 378?
6
Calculate the greatest common divisor of 4573194 and 1974.
282
What is the highest common factor of 175605 and 411585?
345
Calculate the highest common factor of 579437 and 404.
101
Calculate the greatest common divisor of 753 and 8176325.
251
Calculate the highest common factor of 101687 and 768487.
1667
Calculate the greatest common divisor of 10288 and 7262042.
1286
Calculate the highest common divisor of 5213727 and 408444.
1011
What is the highest common factor of 150868952 and 404?
404
What is the highest common divisor of 505 and 33419587?
101
What is the greatest common divisor of 120 and 20358440?
40
What is the greatest common factor of 266112 and 37552?
16
Calculate the highest common divisor of 304 and 635404080.
304
Calculate the greatest common factor of 115873100 and 700.
700
What is the greatest common factor of 121367 and 11?
1
Calculate the greatest common divisor of 32148 and 6142947.
2679
What is the highest common factor of 22528 and 186120?
88
Calculate the highest common divisor of 3215 and 1316864.
643
Calculate the greatest common factor of 17363 and 186876.
179
Calculate the greatest common divisor of 5609987 and 549.
61
Calculate the greatest common divisor of 678 and 67618974.
678
Calculate the greatest common divisor of 12426359 and 1408.
11
Calculate the greatest common divisor of 25650 and 59930750.
950
Calculate the highest common factor of 3466289 and 9153605.
9293
What is the greatest common divisor of 4046 and 402472?
14
What is the highest common divisor of 1133 and 6101106?
11
What is the highest common divisor of 33481 and 21719603?
4783
Calculate the highest common factor of 2960 and 4043545.
185
What is the highest common factor of 26603802 and 14841?
873
What is the highest common factor of 1800 and 7326225?
225
Calculate the greatest common divisor of 362309459 and 10898.
5449
Calculate the greatest common factor of 26 and 189015346.
26
Calculate the greatest common divisor of 46936206 and 30.
6
What is the highest common factor of 47965907 and 1837?
1837
Calculate the greatest common divisor of 5910402 and 578.
2
What is the greatest common factor of 3193722 and 4018?
98
Calculate the highest common divisor of 395410 and 30.
10
What is the highest common factor of 526 and 679667218?
526
What is the highest common factor of 20339 and 2706936?
1849
Calculate the greatest common divisor of 840 and 517235040.
840
Calculate the highest common divisor of 2662488 and 603.
9
What is the highest common divisor of 2807972 and 44?
4
Calculate the highest common divisor of 4680 and 4995120.
1560
Calculate the greatest common factor of 206519455 and 152.
19
What is the greatest common divisor of 10044 and 222588?
324
Calculate the greatest common factor of 31806 and 7380018.
1026
What is the greatest common divisor of 849371040 and 108?
36
What is the highest common factor of 30 and 17548740?
30
Calculate the highest common divisor of 3036 and 4835094.
66
What is the greatest common divisor of 14327286 and 66?
6
What is the highest common factor of 180 and 1020525?
15
What is the greatest common divisor of 46501567 and 30037?
4291
Calculate the highest common divisor of 180404 and 21148.
68
Calculate the greatest common divisor of 623348 and 154.
22
Calculate the greatest common divisor of 2075428 and 19091.
17
Calculate the highest common divisor of 21833508 and 380.
76
What is the greatest common divisor of 29138861 and 236?
59
What is the highest common divisor of 79294 and 434067?
41
What is the highest common factor of 490724 and 166270?
26
Calculate the greatest common divisor of 29920 and 170980832.
5984
What is the highest common divisor of 94 and 442392?
2
Calculate the highest common divisor of 1219632 and 9.
3
Calculate the highest common factor of 7230 and 68068040.
2410
What is the highest common divisor of 2451302 and 145859?
2177
Calculate the highest common divisor of 600 and 370820.
20
What is the greatest common divisor of 87 and 907065654?
87
Calculate the highest common factor of 5156 and 14016586.
2578
Calculate the greatest common divisor of 17296791 and 124.
31
What is the greatest common factor of 105360 and 25462?
878
What is the greatest common divisor of 171667 and 2354753?
3239
What is the greatest common factor of 4535 and 275085?
5
What is the greatest common factor of 719296 and 5888?
64
What is the greatest common divisor of 4244888 and 512?
8
What is the greatest common factor of 6167264 and 10912?
992
What is the greatest common factor of 24 and 7749468?
12
Calculate the highest common divisor of 11738782 and 66.
22
Calculate the highest common factor of 9337536 and 14848.
1856
Calculate the greatest common divisor of 1759342 and 779662.
4082
Calculate the greatest common factor of 11114268 and 132.
132
What is the greatest common factor of 8541 and 84123?
117
What is the greatest common divisor of 60918 and 2211?
33
What is the greatest common divisor of 16906308 and 156?
12
What is the highest common fa
|
{
"pile_set_name": "DM Mathematics"
}
|
9*k - 3. Let m be p(5). Suppose -134 = 3*z + z - 3*g, z = 5*g - m. Find the common denominator of 19/11 and 31*(-3 - z/11).
11
What is the smallest common multiple of 20 and -22*(-4)/(-8)*-2?
220
Let d(k) = 6*k - 11. What is the smallest common multiple of 3/6*(2 - -26) and d(3)?
14
Let c(z) = 0*z - 7*z + 6 + 2*z - z**2. Let x be c(-6). Suppose -4*l = -x*l - 48. Calculate the least common multiple of 16 and l.
48
Suppose t + 2*l = 3, 7*t - l = 5*t + 26. Suppose m - 6*m + 45 = 0. What is the least common multiple of t and m?
99
What is the common denominator of 28/17 and (-3770)/700 + 4/14?
170
Find the common denominator of 61/2 and 21/(-6)*57/18.
12
Let x = -88/3 - -227/9. Let q = -7663 - -69037/9. What is the common denominator of q and x?
9
Let f be (-138473)/1001*36/120. Let w = 2/5005 + f. Calculate the common denominator of w and 13/7.
14
Let p be (1 + -2)*2 + -8. Let n = p + 18. What is the lowest common multiple of n and 20?
40
Let j = -81 + 156. Calculate the least common multiple of j and 24.
600
Suppose -3*f + 6 = 0, -2*j + 5*f = -0*j - 308. Let g = j + 84. Let h = g - 4357/18. Calculate the common denominator of 89/14 and h.
126
Calculate the common denominator of 3 + -7 - 0 - 298/(-64) and 11/14.
224
Let b = -46/43 - -2650/387. What is the common denominator of 4/11 and b?
99
Let g be (-1)/926*2/(-1304). Let y = 7491656687/3018760 + g. Let j = 2479 - y. What is the common denominator of -87/10 and j?
10
Suppose -2*u - 3*b - 2 = -1, -4*u = 3*b - 7. Suppose l = u*l - 3, -5*l = -5*o + 40. Suppose t - o = 1. What is the least common multiple of 9 and t?
90
Let y = -2463/5 + 19499/40. What is the common denominator of y and -57/20?
40
Suppose 3*i = -2*i - 90. Let z be 3*3/9 + i. What is the smallest common multiple of 10/(-15) - z/3 and 5?
5
Suppose 0 = 4*q - 4*n + 2988, -q + n - 2*n = 757. Let h = -1473/2 - q. What is the common denominator of (-2)/6*-2 + -5 and h?
6
Suppose -17*f = -12*f + 5. What is the common denominator of -53/10 and 266/(-36) + f/2?
90
What is the least common multiple of 3 and (6 - 0) + (17 - 15)?
24
Let a(f) be the first derivative of -f**3/3 + 11*f**2/2 - 9*f - 2. Calculate the smallest common multiple of 8 and a(10).
8
Let m(w) = w**2 - 2*w + 2. Suppose 51 = 4*y + 6*t - t, -3*y - 4*t = -38. Calculate the smallest common multiple of m(3) and (y + 0)*19/38.
35
Calculate the common denominator of (75/7)/(4/7) and -21/22.
44
Let t = 4 + -2. Calculate the common denominator of ((-9)/5)/(2/(-11)) and (-88)/(-28) + t + -2.
70
Let x(y) be the first derivative of -y**4/4 - 3*y**3 - 9*y**2/2 + 10*y + 3. What is the least common multiple of 16 and x(-8)?
144
Suppose -8 = v - 5*v - 5*w, -4*v + 4*w = -44. Suppose -10*p + 60 = -4*p. Calculate the smallest common multiple of p and v.
70
Let m(q) = -10*q - 40. What is the least common multiple of 22 and m(-5)?
110
Let i(q) = 2*q**2 - 3*q - 1. Let k be i(-2). Suppose 4*x = -k - 39. Let v = x + 25. What is the lowest common multiple of v and 14?
84
Suppose 2*r - 22 = 6. What is the smallest common multiple of 22 and r?
154
Suppose 3*v + v + 88 = 0. Calculate the smallest common multiple of (4/4)/((-2)/v) and 1.
11
Suppose -9 - 9 = -w. Let m = -33 + w. Find the common denominator of ((-58)/5)/(28/m) and 27/20.
140
Suppose -3*b - 5 = -5*s, b = -2*s + 4*s - 2. Let n = 0 + 6. Calculate the smallest common multiple of s and n.
6
Let a = 8 + 2. Let h = a - 6. Suppose 2 - 4 = 2*f, h*u = 2*f + 26. Calculate the lowest common multiple of u and 6.
6
Let r = 20639/22 + -934. What is the common denominator of 43/20 and r?
220
Suppose 0*g - 9 = -g. Suppose -q + 23 = 3*t - 0*q, t = q + g. What is the smallest common multiple of 22 and t?
88
Suppose 4 = -3*s - 2, 5*f = s + 7. Let g = -1 + 1. Suppose -c - k + 3 = 0, -2*c + g = k - 7. What is the smallest common multiple of c and f?
4
Let g = 4/179 - -13592/537. Let x(c) = -2*c - 2. Let l be x(-2). Suppose -l*k - 45 = 2*z - 7*k, 0 = 3*z + k + 76. What is the common denominator of z and g?
3
Suppose -3*p = -0*p. Suppose -3*q + 8*q - 80 = p. Calculate the lowest common multiple of (2 - (0 + 1))*22 and q.
176
Let z = -93 - -97. What is the lowest common multiple of z and 70?
140
Suppose 3*f = 40 - 16. Let r = 43/2 - -1. Find the common denominator of 4/(-5)*66/f and r.
10
Let s = -9/938 - -30151/14070. Calculate the common denominator of -62/5 and s.
15
Suppose 3*j - 2*j - 7 = -2*p, -3*p - 17 = -4*j. Let w be (0 - 1) + (p - -18). Find the common denominator of -37/4 and (-4)/w - (-2276)/(-288).
8
Let s(f) = -3*f**3 + 2*f**2 + 2*f + 1. Suppose 12 = 5*z - z. Suppose j - z*j = 2*i - 12, -8 = 2*j. What is the least common multiple of s(-1) and i?
20
Suppose -4*s + 2 = 3*d, 0*s = -2*s + 2*d + 8. Let q(b) = b**2 + 2*b**2 + s*b - 2*b**2 + 5*b + 1. What is the lowest common multiple of q(-7) and 9?
9
Let s = 2075/12 + -170. What is the common denominator of s and 0 + 1/(18/(-19))?
36
Suppose 50 = 8*h - 3*h. Let s = h - 0. What is the least common multiple of s and 28/3*3/2?
70
Let v = -1821 + 21935/12. Let p = 1042/3 + v. Let r = p - 351. What is the common denominator of r and 11/16?
16
Let y = 37537/11176 + 5/1016. Let r = 1555/8 - 194. Calculate the common denominator of y and r.
88
Suppose -4*v = -133 + 13. Suppose -4*l - 5 = -3*f + 22, 3*f - 5*l - v = 0. Calculate the smallest common multiple of 10 and f.
10
What is the smallest common multiple of 16 and (12/1)/(12/8)?
16
Let b = 18563 + -11088. Let i = b + -142058/19. Find the common denominator of 54/7 and i.
133
Let x = 6 + -6. Let m = 10 - x. What is the least common multiple of 20 and m?
20
Find the common denominator of -9/2 and -16 - -14 - 13/(-12).
12
Let n be (-10)/4 - (-8)/16. Calculate the smallest common multiple of 2 and 2/4 - 1/n.
2
Suppose -3*n - 2*o - 6029 - 8586 = 0, -3*n = o + 14620. Let h = -1358 + n. Let i = -124737/20 - h. Find the common denominator of 83/8 and i.
40
Let c = 153286/7185 + -2/2395. What is the common denominator of c and 58/15?
15
Let d = -360505/3 + 493925/4. Let v = d + -3307. What is the common denominator of v and -17/6?
12
Let n = 47457/11 - 4318. Let b = 135 - 392/3. Find the common denominator of b and n.
33
Let m(u) = -u**2 - 8*u - 1. What is the smallest common multiple of 24 and m(-5)?
168
What is the common denominator of -17/18 and -3 - (-452)/(-24)*-1?
18
Let m(p) = p**2 + 5. Suppose 0 = 5*z - b + 3*b - 15, -4*z + 4*b + 40 = 0. Calculate the least common multiple of m(0) and z.
5
Let r(c) = 2*c + c**2 - c + 2*c. Let v be r(-4). Calculate the least common multiple of 11 and (-1)/v + 25/4.
66
Let m = 56 + -36. Let a = 4 + 2. Suppose t = a - 2. Calculate the least common multiple of m and t.
20
Let g = -2 + 6. Suppose -24 = -3*z - 3*j, 2*z = 3*z - j. Suppose -q + z*q = 27. Calculate the lowest common multiple of q and g.
36
Let f = 1279/14 - 89. Find the common denominator of f and 2 + (1/(-18))/(4/(-316)).
126
What is the common denominator of -87/28 and 1*141*(-3)/(-54)?
84
Let y = -3594599/112 + 32095. What is the common denominator of y and -69/22?
1232
Suppose -3*y = -8 - 7. Suppose 5*u - 3 = -3*g, -g - 30 = -y*g + 2*u. What is the lowest common multiple of g and 8?
24
Let n = -1 - 1. Let l = n + 1. What is the smallest common multiple of (9/6)/(l/(-4)) and 8?
24
Find the common denominator of 4/10 - 203/20 and 4/((-60)/115) - -1.
12
Let k(q) = q**3 + 5*q**2 - 2*q - 3. Let d be k(-3). Let f = d + -10. Let u = -2 - -11. Calculate the least common multiple of u and f.
99
Let y be 2 - (-2 + 5 + 269). Find the common denominator of (-3)/15 + 591/y and -53/6.
18
Let w(k) = -4*k + 1. Let r(z) = 2*z**2 + 4*z - 4. Let u be r(-4). Calculate the lowest common multiple of ((-22)/3)/((-8)/u) and w(-1).
55
Let t(g) = -g - 3. Let n be t(-3). Suppose n = -l - 0*l - 30. Find the common denominator of l/(-4)*(-132)/20 and -75/4.
4
Let c(z) = 5*z**2 + 10*z - 3. Let i(q) = 4*q**2 + 9*q - 3. Let p(s) = 3*c(s) - 4*i(s). What is the least common multiple of p(-5) and 10?
40
Suppose 0 = 4*n - 8 - 12. Let y(b) = 2*b + 1. Calculate the least common multiple of y(n) and 2.
22
Let q = 126691/12 + -10570. Calculate the common denominator of q and -85/4.
12
Let f = 782/1727 + -2190127/103620. Let q = f - -103/12. What is the common denominator of (-41)/3*6/(-14) and q?
7
|
{
"pile_set_name": "DM Mathematics"
}
|
by 8.
7
Calculate the remainder when 96 is divided by 11.
8
Calculate the remainder when 925 is divided by 17.
7
Calculate the remainder when 286 is divided by 24.
22
Calculate the remainder when 573 is divided by 75.
48
Calculate the remainder when 895 is divided by 226.
217
What is the remainder when 3882 is divided by 81?
75
Calculate the remainder when 302 is divided by 4.
2
What is the remainder when 440 is divided by 71?
14
Calculate the remainder when 4301 is divided by 535.
21
Calculate the remainder when 300 is divided by 43.
42
What is the remainder when 23022 is divided by 91?
90
What is the remainder when 3134 is divided by 56?
54
What is the remainder when 475 is divided by 4?
3
What is the remainder when 116 is divided by 39?
38
What is the remainder when 2162 is divided by 5?
2
What is the remainder when 164 is divided by 33?
32
Calculate the remainder when 2978 is divided by 9.
8
Calculate the remainder when 97 is divided by 33.
31
What is the remainder when 57 is divided by 33?
24
What is the remainder when 353 is divided by 50?
3
What is the remainder when 2090 is divided by 2047?
43
Calculate the remainder when 1877 is divided by 4.
1
What is the remainder when 795 is divided by 49?
11
Calculate the remainder when 535 is divided by 8.
7
What is the remainder when 493 is divided by 183?
127
What is the remainder when 6173 is divided by 8?
5
What is the remainder when 83 is divided by 42?
41
What is the remainder when 1322 is divided by 645?
32
What is the remainder when 1654 is divided by 44?
26
Calculate the remainder when 134 is divided by 29.
18
Calculate the remainder when 231 is divided by 80.
71
Calculate the remainder when 229 is divided by 91.
47
What is the remainder when 407 is divided by 51?
50
Calculate the remainder when 406 is divided by 91.
42
What is the remainder when 6191 is divided by 16?
15
What is the remainder when 109 is divided by 28?
25
Calculate the remainder when 276 is divided by 8.
4
Calculate the remainder when 56 is divided by 27.
2
Calculate the remainder when 1287 is divided by 317.
19
What is the remainder when 7062 is divided by 2?
0
What is the remainder when 721 is divided by 148?
129
Calculate the remainder when 176 is divided by 97.
79
What is the remainder when 117 is divided by 4?
1
What is the remainder when 3232 is divided by 55?
42
Calculate the remainder when 123 is divided by 16.
11
Calculate the remainder when 3787 is divided by 1890.
7
What is the remainder when 263 is divided by 94?
75
What is the remainder when 669 is divided by 61?
59
What is the remainder when 2818 is divided by 47?
45
What is the remainder when 342 is divided by 43?
41
What is the remainder when 244 is divided by 232?
12
What is the remainder when 228 is divided by 81?
66
Calculate the remainder when 10562 is divided by 38.
36
What is the remainder when 586 is divided by 31?
28
Calculate the remainder when 26 is divided by 25.
1
What is the remainder when 93 is divided by 43?
7
What is the remainder when 65 is divided by 19?
8
What is the remainder when 76 is divided by 9?
4
What is the remainder when 962 is divided by 265?
167
What is the remainder when 242 is divided by 156?
86
What is the remainder when 45 is divided by 27?
18
Calculate the remainder when 1467 is divided by 38.
23
What is the remainder when 802 is divided by 6?
4
What is the remainder when 180 is divided by 178?
2
Calculate the remainder when 140 is divided by 31.
16
Calculate the remainder when 64 is divided by 33.
31
Calculate the remainder when 91 is divided by 65.
26
What is the remainder when 87 is divided by 61?
26
What is the remainder when 1286 is divided by 379?
149
What is the remainder when 4002 is divided by 15?
12
What is the remainder when 171 is divided by 43?
42
Calculate the remainder when 67 is divided by 15.
7
Calculate the remainder when 553 is divided by 15.
13
What is the remainder when 2882 is divided by 31?
30
What is the remainder when 217 is divided by 22?
19
Calculate the remainder when 2600 is divided by 86.
20
Calculate the remainder when 188 is divided by 63.
62
Calculate the remainder when 79 is divided by 22.
13
Calculate the remainder when 4290 is divided by 1072.
2
Calculate the remainder when 3484 is divided by 14.
12
Calculate the remainder when 296 is divided by 61.
52
Calculate the remainder when 914 is divided by 231.
221
Calculate the remainder when 4813 is divided by 86.
83
Calculate the remainder when 152 is divided by 56.
40
Calculate the remainder when 1326 is divided by 43.
36
Calculate the remainder when 2918 is divided by 127.
124
What is the remainder when 2579 is divided by 43?
42
What is the remainder when 259 is divided by 52?
51
Calculate the remainder when 535 is divided by 174.
13
What is the remainder when 193 is divided by 36?
13
Calculate the remainder when 1114 is divided by 309.
187
Calculate the remainder when 489 is divided by 41.
38
What is the remainder when 67 is divided by 56?
11
Calculate the remainder when 497 is divided by 125.
122
Calculate the remainder when 403 is divided by 45.
43
What is the remainder when 48 is divided by 27?
21
Calculate the remainder when 146 is divided by 15.
11
What is the remainder when 3535 is divided by 16?
15
Calculate the remainder when 115 is divided by 78.
37
What is the remainder when 946 is divided by 13?
10
Calculate the remainder when 1068 is divided by 965.
103
Calculate the remainder when 2841 is divided by 9.
6
What is the remainder when 1018 is divided by 17?
15
Calculate the remainder when 186 is divided by 68.
50
What is the remainder when 152 is divided by 35?
12
Calculate the remainder when 143 is divided by 35.
3
What is the remainder when 27 is divided by 7?
6
What is the remainder when 224 is divided by 15?
14
What is the remainder when 578 is divided by 30?
8
Calculate the remainder when 9049 is divided by 73.
70
Calculate the remainder when 19 is divided by 3.
1
Calculate the remainder when 1098 is divided by 85.
78
What is the remainder when 58 is divided by 10?
8
What is the remainder when 723 is divided by 51?
9
What is the remainder when 3179 is divided by 7?
1
What is the remainder when 42 is divided by 26?
16
Calculate the remainder when 1305 is divided by 426.
27
What is the remainder when 1385 is divided by 73?
71
What is the remainder when 1928 is divided by 71?
11
What is the remainder when 1693 is divided by 113?
111
Calculate the remainder when 1228 is divided by 155.
143
Calculate the remainder when 621 is divided by 212.
197
What is the remainder when 142 is divided by 24?
22
Calculate the remainder when 177 is divided by 13.
8
What is the remainder when 99 is divided by 49?
1
Calculate the remainder when 111 is divided by 21.
6
Calculate the remainder when 50 is divided by 12.
2
What is the remainder when 43 is divided by 6?
1
What is the remainder when 1816 is divided by 32?
24
Calculate the remainder when 25941 is divided by 7.
6
What is the remainder when 878 is divided by 242?
152
What is the remainder when 119 is divided by 12?
11
What is the remainder when 25 is divided by 5?
0
Calculate the remainder when 229 is divided by 41.
24
What is the remainder when 1387 is divided by 460?
7
Calculate the remainder when 372 is divided by 72.
12
Calculate the remainder when 588 is divided by 85.
78
What is the remainder when 4663 is divided by 8?
7
What is the remainder when 165 is divided by 60?
45
What is the remainder when 855 is divided by 66?
63
What is the remainder when 875 is divided by 95?
20
What is the remainder when 78 is divided by 29?
20
What is the remainder when 870 is divided by 70?
30
Calculate the remainder when 1612 is divided by 85.
82
What is the remainder when 4295 is divided by 23?
17
What is the remainder when 1410 is divided by 9?
6
Calculate the remainder when 1550 is divided by 141.
140
What is the remainder when 511 is divided by 32?
31
Calculate the remainder when 3401 is divided by 284.
277
Calculate the remainder when 1555 is divided by 54.
43
Calculate the remainder when 3468 is divided by 57.
48
Calculate the remainder when 1424 is divided by 31.
29
Calculate the remainder when 7796 is divided by 8.
4
Calculate the remainder when 98 is divided by 13.
7
What is the remaind
|
{
"pile_set_name": "DM Mathematics"
}
|
4
Let u(n) be the third derivative of 4/27*n**3 - 5/108*n**4 + 0*n + 0 + 1/540*n**5 + 1/1080*n**6 + 22*n**2. Factor u(r).
(r - 2)*(r - 1)*(r + 4)/9
Let p = 42 + -38. Factor -8*i**5 + 0*i**3 + 2*i**p - 11*i**5 + 20*i**5 + i**3.
i**3*(i + 1)**2
Let f = -161/6081 - -6403/12162. Suppose 3/5 + 1/10*m**2 + f*m = 0. Calculate m.
-3, -2
Let d(l) be the third derivative of -l**8/210 - 3*l**7/175 + l**6/30 + l**5/50 - 245*l**2 - 2. Find z, given that d(z) = 0.
-3, -1/4, 0, 1
Let d(p) be the third derivative of -p**6/660 - 53*p**5/165 + 107*p**4/132 + 8070*p**2. Factor d(h).
-2*h*(h - 1)*(h + 107)/11
Let t(j) be the second derivative of -7*j**6/10 - 57*j**5/10 + 3*j**4/4 + 41*j**3 - 60*j**2 - 1620*j. Solve t(a) = 0.
-5, -2, 4/7, 1
Let q(y) = y**2 - y. Suppose -f = -11*f + 7*f. Let u be q(f). Factor u + 2/3*k + 1/3*k**2.
k*(k + 2)/3
Let z = 550709/157342 + -6/78671. Let 19*c**2 - 5/2*c**4 + 12 + z*c**3 - 38*c = 0. Calculate c.
-3, 2/5, 2
Factor 32/3*f**3 + 8*f**4 + 0 + 4/3*f**5 + 0*f + 0*f**2.
4*f**3*(f + 2)*(f + 4)/3
Let q(g) = -20*g**3 - 97*g**2 - 45*g + 20. Let x(k) = 16*k**3 + 95*k**2 + 45*k - 21. Let f(h) = 3*q(h) + 2*x(h). Suppose f(j) = 0. What is j?
-3, -6/7, 1/4
Suppose 9*q**5 + q**4 + 17*q**3 + 46*q - 20 + 63*q - 20*q**2 - 77*q**4 + 177*q**3 - 196*q**2 = 0. What is q?
4/9, 1, 5
Let s(o) be the first derivative of o**3/3 - 11*o**2/2 + 1637. Factor s(v).
v*(v - 11)
Factor 34*l + 80 - 5*l**2 + 11*l - 61*l + l**2 - l**2 + l**3.
(l - 5)*(l - 4)*(l + 4)
Let w(i) = i**3 - 16*i**2 + 14*i + 14. Let a be w(15). Let u(p) = -6*p**2 + 116*p + 122. Let g(z) = 2*z**2 + 2*z. Let h(j) = a*u(j) - 4*g(j). Solve h(y) = 0.
-61, -1
Suppose -189504*m - 5*m**3 + 63729 + 34545 + 1945*m**2 - 616*m - 12627 + 102533 = 0. Calculate m.
1, 194
Let p(q) be the first derivative of 91 + 26/3*q**4 + 0*q + 6/5*q**5 + 46/3*q**3 - 6*q**2. Find b, given that p(b) = 0.
-3, 0, 2/9
Suppose 0*l + 219/5*l**3 + 3/5*l**5 + 0*l**2 + 0 + 222/5*l**4 = 0. What is l?
-73, -1, 0
Let 109*b - b**3 - 4*b**2 + 54*b**2 - 10*b**2 + 84 - 16*b**2 = 0. Calculate b.
-3, -1, 28
Suppose -f + 1 = 0, 3*y = 2*f + 8 - 4. Let x = -19273 - -77167/4. Factor -3/4*d**y - x + 15/2*d.
-3*(d - 5)**2/4
Factor 15*i**3 - 112*i**2 + 225/2 - 1/2*i**4 - 15*i.
-(i - 15)**2*(i - 1)*(i + 1)/2
Let v(n) = 29*n**3 + n**2 + 2*n - 3. Let y be v(1). Let s = -9 + y. Solve -35*w**2 + 9 - 5*w**3 + 15*w**4 - 34*w**5 + 19*w**5 + 11 + s*w**5 = 0 for w.
-2, -1, 1
Suppose 0 = x + a - 10, 6*x - 3*a - 47 = 2*x. Suppose x = 4*z + 3. Factor -44*j**2 + 45*j**z + j + 1 + j.
(j + 1)**2
Let k(z) be the second derivative of -z**4/4 - 17*z**3 - 803*z + 2. Factor k(c).
-3*c*(c + 34)
Let r(a) = a**3 + 13*a**2 - a - 10. Let t be r(-13). Let y be ((-5)/(-15))/((-1)/(-6)). Factor -4*p**y + p**2 - 3 + 9*p**2 - t*p.
3*(p - 1)*(2*p + 1)
Factor -598*y - 60575 + 57503 - 3*y**2 - 518*y - 426*y.
-3*(y + 2)*(y + 512)
Let y = -706242 - -6356192/9. Let x(h) = h**2 - 2*h - 3. Let t be x(3). Factor 4/3*o + y*o**3 + t - 46/9*o**2.
2*o*(o - 3)*(7*o - 2)/9
Let n(w) be the second derivative of -35*w - 5/12*w**4 + 0*w**2 + 10/3*w**3 + 0. Factor n(z).
-5*z*(z - 4)
Let k(p) be the third derivative of -5/48*p**8 - 1/21*p**7 + 37/3*p**5 - 3*p + 77/24*p**6 + 24*p**2 + 40/3*p**3 + 115/6*p**4 + 0. Find o, given that k(o) = 0.
-2, -1, -2/7, 4
Factor -4 + 2*u**4 + 33*u - 1300*u**3 + 1296*u**3 - 29*u + 3*u**2 - u**4.
(u - 2)**2*(u - 1)*(u + 1)
Let p(m) = -5*m**3 - 6*m**2 - 4. Suppose -71 = -5*b - 56. Let f(x) = -x**3 + x**2 - 1. Let c(g) = b*p(g) - 12*f(g). Factor c(v).
-3*v**2*(v + 10)
Let w(k) = -9*k - 177. Let z be w(-20). Factor 189*a**4 + 3*a**3 - 3*a - 190*a**4 + z*a**2 - 2*a**2.
-a*(a - 3)*(a - 1)*(a + 1)
Suppose 0 = -45*o + 49*o - 156. Let r be -3*1 + o/52*8. Factor 0 - 8/5*h + 6/5*h**2 + 2/5*h**r.
2*h*(h - 1)*(h + 4)/5
Let m be (40*(-44)/7480)/(2/(-17)). Suppose 648/5*f**m + 3888/5 - 2592/5*f - 72/5*f**3 + 3/5*f**4 = 0. Calculate f.
6
Let i(n) = 110*n**4 + 3235*n**3 + 30010*n**2 + 91610*n + 90. Let k(d) = 5*d**4 + 147*d**3 + 1364*d**2 + 4164*d + 4. Let t(o) = -2*i(o) + 45*k(o). Factor t(s).
5*s*(s + 8)**2*(s + 13)
Let j(k) be the second derivative of -k**7/1260 + 5*k**6/36 - 125*k**5/12 - 11*k**4/4 - k - 78. Let q(f) be the third derivative of j(f). Factor q(n).
-2*(n - 25)**2
Let z be (-3 - 5/(-15))*6/(-4). Suppose 8 + 10 = z*p - 2*q, 0 = 3*p + 5*q - 7. Determine w, given that 5 - 1 - 2*w**2 + 2*w**4 - p = 0.
-1, 0, 1
Let x(t) be the third derivative of -t**6/120 - t**5/60 - 5*t**4/24 + 7*t**3/6 + t**2 - 16. Let v be x(1). Factor 2/19*o**2 + v + 0*o.
2*o**2/19
What is c in -304 - 10644*c - 953 - 871 - 20*c**2 = 0?
-532, -1/5
Let h = -67 + 69. Find g such that -45*g**3 + 2*g**4 + 37*g**h + 6 + 3*g**4 + 45*g - 76 + 28*g**2 = 0.
-1, 1, 2, 7
Let s(k) = -60*k**3 + 54*k**2 + 84*k - 30. Let m(q) = 12*q**3 - 1908*q + 1891*q + 3 + 3 - 11*q**2. Let z(d) = -21*m(d) - 4*s(d). Factor z(p).
-3*(p - 2)*(p + 1)*(4*p - 1)
Factor -462 + 17*a**4 - 18*a**3 - 824 - 15*a**4 + 102*a**3 + 404 - 84*a + 880*a**2.
2*(a - 1)*(a + 1)*(a + 21)**2
Let o(j) = -10*j**2 - 8*j - 8. Let k(z) = -5*z**2 + 8 - 19*z**2 + 8*z + 36*z**2. Let p(w) = 4*k(w) + 5*o(w). Factor p(q).
-2*(q + 2)**2
Let b(f) be the third derivative of -19/30*f**3 - 1/300*f**5 + 2*f + 0 + 1/6*f**4 - 62*f**2. Find u such that b(u) = 0.
1, 19
Factor 4/5*t**2 + 51380224/5 - 28672/5*t.
4*(t - 3584)**2/5
Let t be (-100)/((-1300)/39) - (-2)/2. Suppose -3*a**3 - 1/2*a**t + 0 + 16*a + 0*a**2 = 0. What is a?
-4, 0, 2
Let z(k) be the first derivative of -12*k**2 - 35 + 28/3*k**3 + 19*k + 7/6*k**4 - 1/2*k**5. Let g(h) be the first derivative of z(h). Factor g(t).
-2*(t - 3)*(t + 2)*(5*t - 2)
Let x(v) = 3*v**2 + 129*v - 1979. Let g be x(12). Let q(s) be the first derivative of g + 96/7*s - 24/7*s**2 + 2/7*s**3. Factor q(a).
6*(a - 4)**2/7
Let g be (12 - 16 - 120)/(2/(-110)). Let b(h) = h**2 + 4*h + 4. Let q be b(-6). Factor 6820*a**2 + q*a - g*a**2 - 4*a**3.
-4*a*(a - 2)*(a + 2)
Let d(v) be the second derivative of v**8/13440 + v**7/1120 + v**6/320 + 49*v**3/6 + 3*v - 9. Let k(q) be the second derivative of d(q). Factor k(z).
z**2*(z + 3)**2/8
Factor -2/19*g**2 - 16119842/19 - 11356/19*g.
-2*(g + 2839)**2/19
Let x be 24/14 + 27/21 + -1. Factor -16*o + 3 + 2*o**3 + 29*o**x + 4*o**4 - 12*o**3 - 11*o**3 + o**3.
(o - 3)*(o - 1)*(2*o - 1)**2
Let h be (11685/(-1640))/((-9)/(-4)) - -4. Suppose h*g**2 - 25/2*g + 35/3 = 0. Calculate g.
1, 14
Let i be ((0 - 2)/(-6))/(7 + -6). Suppose -86*s + 94*s = 24. Find z such that -i*z**2 - s + 2*z = 0.
3
Let k(g) be the first derivative of -g**4 - 196*g**3/3 + 104*g**2 + 400*g - 55. Factor k(r).
-4*(r - 2)*(r + 1)*(r + 50)
Let t(o) be the first derivative of 800*o - 320*o**2 + 2/5*o**5 + 8*o**4 + 16*o**3 - 68. Factor t(m).
2*(m - 2)**2*(m + 10)**2
Factor 862/3*s + 1/6*s**2 + 371522/3.
(s + 862)**2/6
Determine a, given that -5/3*a**2 - 26096415 + 13190*a = 0.
3957
Let o(d) = -880*d**3 - 325*d**2 + 920*d + 685. Let m(l) = -8*l**4 + l**2 - l - 2. Let j(c) = -40*m(c) - o(c). What is h in j(h) = 0?
-11/8, -1, 1
Let g(b) be the first derivative of -b**5/15 - 31*b**4/4 - 617*b**3/9 - 433*b**2/2 - 258*b - 4518. Factor g(p).
-(p + 1)*(p + 3)**2*(p + 86)/3
Let w(h) = 53*h + 389. Let v be w(-5). Let k be (-2*(-2)/(-42))/(v/(-868)). Factor -2/3*n**2 - 7/3*n**4 - 8/3*n**3 + 1/3 + k*n - 2/3*n**5.
-(n + 1)**4*(2*n - 1)/3
Let b(t) be the second derivative of t**7/21 - 4*t**6/15 + 3*t**5/10 + 2*t**4/3 - 4*t**3/3 - 348*t. Suppose b(y) = 0. What is y?
-1, 0, 1, 2
Determine z, given that 22/7*z - 15 - 1/7*z**2 = 0.
7, 15
Let c(x) be the first derivative of -1/15*x**3 + 106 + 18/5*x + 3/10*x**2. What is t in c(t) = 0?
-3, 6
Let l be -3 + 10 + 1/(5/(-15)). Factor -l*m + 10 - 5*m**2 + 11*m - 2*m.
-5*(m - 2)*(m + 1)
Let -1365*a**2 + 1551*a**2 - 3191*a + 3146*a + 34*a**3 + 5*a**3 = 0. What is a?
-5, 0, 3/13
Let n(z) be the first derivative of 1/6*z**6 - 1/2*z**5 + 0*z**4 - 5/2*z**2 - 35*z - 20 + 5/3*z**3. Let w(a) be the first derivative of n(a). Factor w(r).
5*(r - 1)**3*(r + 1)
Let a(w) be the second derivative of -4/3*w**3 - 5/6*w**4 - 43/2*w**2 - 40*w + 7/15*w**5 + 0. Let s(r) be the first derivative of a(r). Factor s(z).
4*(z - 1)*(7*z + 2)
Suppose 127 + 240*d + 193 - 188769*d**5 + 188774*d**5 - 80*d**3 - 80*d**2 = 0. What is d?
-2, 2,
|
{
"pile_set_name": "DM Mathematics"
}
|
2, 17
Suppose j + 2*k = 2*j + 213, 2*k + 402 = -2*j. Let a = 321 + j. List the prime factors of a.
2, 29
Suppose 0 = 11*y - 53806 + 13711. What are the prime factors of y?
3, 5
Let p(t) = t**3 + 4 - t**2 - 3 + 5*t**2. Let c be p(-4). What are the prime factors of ((-35)/(-3))/(c/3)?
5, 7
Let m(a) = -a**3 + 9*a**2 - 14*a - 11. Let p be m(7). Let k = p + 41. List the prime factors of k.
2, 3, 5
Let u(n) = -4*n**3 - n**2 - 21*n - 31. List the prime factors of u(-6).
13, 71
Let s(i) = 4*i**3 + 8*i**2 - 2*i - 13. Let k(x) = -3*x**3 - 8*x**2 + 2*x + 12. Let n(q) = 5*k(q) + 4*s(q). Let z = 58 - 50. List the prime factors of n(z).
2, 3
Suppose 0 = -f + 3*f. Suppose f*l - 2*l = 24. Let d = -3 - l. What are the prime factors of d?
3
Let x(f) = 5*f - 6. Suppose 3*h - 18 = -3*u, 2*u = 2*h - 5*h + 14. What are the prime factors of x(u)?
2, 7
Suppose 4*w - 44 = -3*v, -15 = -4*w + 5*v - 3. Suppose 4*f + 0 = w. List the prime factors of f/(-10) - (-61)/5.
2, 3
Let a(r) = -3*r + 13 + 0*r - r. Suppose -5*z + 230 = 265. List the prime factors of a(z).
41
Let l = 99 - 94. Suppose -l*r + 116 + 694 = 0. What are the prime factors of r?
2, 3
Let d(z) = z**3 + 7*z**2 + z + 8. Suppose 32 = -4*j - 4*i, 4*j - i = j - 16. Let c be d(j). Let q = -21 + c. List the prime factors of q.
17
What are the prime factors of (-4)/(-10) - (-94458)/130?
727
Suppose 0 = x - 12 + 8, 2*x = 2*t - 1048. What are the prime factors of t?
2, 3, 11
Suppose 0 = -5*v + 4*m + 2348, -5*m - 1298 = -5*v + 1052. Suppose 17*c + v = 20*c. What are the prime factors of c?
2, 3, 13
Suppose b + 0*b - 968 = -5*o, -5*o = -5*b - 950. Suppose -32 = f - o. List the prime factors of f.
7, 23
Let k(t) = -2*t**2 - 28*t + 7. Let p be k(-15). Let m = 151 + p. What are the prime factors of m?
2
Let f(y) = y + 2. Let k be (1 + -2)/(1/2). Let w be f(k). Suppose w = 5*l - 117 - 173. What are the prime factors of l?
2, 29
Let l be (-114)/(-21) - (-3)/(-7). Suppose 3*h - h - l*t = 3, 5*h + 5*t = 25. Suppose -h + 26 = 2*y. List the prime factors of y.
11
Suppose 0 = l - 4, -2*l + 434 - 2686 = -2*x. List the prime factors of x.
2, 5, 113
Let c(f) = -4 - 2 - 3*f - 1 + 3. List the prime factors of c(-5).
11
Let y(f) = 4*f + 2. Let r = 7 + -10. Let k be y(r). What are the prime factors of (-104)/10*k/4?
2, 13
Suppose -162 + 1774 = a. Suppose -a = 9*v - 22*v. What are the prime factors of v?
2, 31
Let a(h) = -h**2 - 9*h - 4. Let i be a(-8). Suppose -4*q - 244 = -g + 2*g, -i*q = 3*g + 252. Let x = q - -88. What are the prime factors of x?
2, 7
Suppose 2819 - 13180 = -13*d. List the prime factors of d.
797
Suppose -25*z + 47*z = 13112. What are the prime factors of z?
2, 149
Let o(h) = -h - 5 + 9*h**2 - h**2 + 9. Let r be o(-4). Let v = -80 + r. What are the prime factors of v?
2, 7
Suppose 1448 = 4*y - 300. What are the prime factors of y?
19, 23
Let d(s) = -41*s**2 + 5*s - 5. Let n be d(2). Let r = n - -287. List the prime factors of r.
2
Let n be 2 + ((-1)/2)/(1/(-2)). Suppose -69 = -n*c + 138. What are the prime factors of c?
3, 23
Suppose 4*i - 10081 = 2*i + 5*r, 0 = 4*r - 20. List the prime factors of i.
31, 163
What are the prime factors of (-2409)/(-6) - (-154)/(-44)?
2, 199
Suppose -3*x + 5*l = 30 + 1912, -1924 = 3*x + 4*l. List the prime factors of 0 + 0 + x/(-7).
2, 23
Let q(l) = 18*l + 24. What are the prime factors of q(22)?
2, 3, 5, 7
Let l be (-77)/(-11) - (1 + -2 - -3). Suppose -t = -3*s - 6, 3*s + s = -l*t + 11. List the prime factors of t.
3
Suppose f - 3 + 6 = 0. Let o be (-1 - -1)/(-2) - f. What are the prime factors of 22/2 - (o + 0)?
2
Let c(g) = -6*g**2 - 265*g - 18. List the prime factors of c(-38).
2, 347
Let d = -5750 + 8576. What are the prime factors of d?
2, 3, 157
Let n(p) = 150*p**2 + 4*p + 7. List the prime factors of n(4).
2423
Let k = -2936 - -5261. List the prime factors of k.
3, 5, 31
Let f(n) = -234*n - 44. List the prime factors of f(-3).
2, 7, 47
Suppose -14*k = -25*k + 9504. List the prime factors of k.
2, 3
Let c = -11 - -18. Let d(a) = -a**2 + 9*a - 11. Let q be d(c). Suppose -2*t + 72 - 16 = -5*m, -m = q*t - 50. List the prime factors of t.
2, 3
Let c(o) = 1 + 0 - 31*o - 11 - 3. What are the prime factors of c(-6)?
173
Suppose -29856 = -27*k + 3*k. What are the prime factors of k?
2, 311
Let c(w) = -w**2 + 6*w - 8. Let r be c(4). Let h(n) = 83*n + 2. Let d be h(2). Suppose k + 3*k - d = r. List the prime factors of k.
2, 3, 7
Suppose 321 = -4*g - 3*t, 3*g + 2*t - 7*t + 219 = 0. Let j = -27 - g. What are the prime factors of j?
3, 17
Let h be (25/10)/(4/8). Suppose 3*m - z = 503, 0 = -2*m - 0*m - h*z + 341. List the prime factors of m.
2, 3, 7
Let i(s) = 35*s + 145. List the prime factors of i(4).
3, 5, 19
Let q(z) = -z**3 + 5. Let x be q(0). Suppose 6*c - 5*r - x = c, -4*r + 8 = 2*c. Suppose -3*p - 4*f = -161, p - c*p + f = -49. What are the prime factors of p?
3, 17
Suppose -5*m - 2*b + 14 = -3, -8 = 2*b. Suppose m*k + 3*z = -28 + 220, 3*k = 2*z + 100. List the prime factors of k.
2, 3
Let f(s) = 4*s + 7. Let w(q) = -q**2 + 11*q - 10. Let k be w(8). Suppose -5*x + 9 + k = 4*a, x = -2*a + 1. List the prime factors of f(x).
5, 7
Let f = 11 + 7. Let t = f + -12. Suppose -30 = -3*l + t. What are the prime factors of l?
2, 3
Let n(o) = -o - 2*o + 1 + 4*o**2 + o + 4*o. Let v be n(-1). Suppose -v*d = -20 - 19. List the prime factors of d.
13
Suppose 2*s - 3*s = 0. Suppose 15 = 9*c - 6*c. Suppose s = -c*p + 3*r - 8*r + 80, r = -4. What are the prime factors of p?
2, 5
Suppose 0 = -60*g + 103*g - 130505. What are the prime factors of g?
5, 607
Suppose 2*r + 27 = 5*y + 7, -3*r + y - 4 = 0. Suppose 4*m - 374 = -r*i - 5*i, 0 = i - 4*m - 94. List the prime factors of i.
2, 3, 13
Suppose 0*q + 3*c = 5*q - 26, -8 = -q + 2*c. Suppose i + 2*x = 13 - 1, -5*i + 32 = -q*x. Suppose 76 = i*j - 4*j. What are the prime factors of j?
19
Let i be 0/(-1) - (1 - 1). Suppose -3*p - 3*k = -30, -p + 3*p + 3*k - 23 = 0. List the prime factors of i + -2 + 42/p.
2
Let m(x) = 18*x + 37. Let v be m(-12). Let w = v + 298. List the prime factors of w.
7, 17
Let h be -2 + 1 + 13/((-39)/6). List the prime factors of 0 + h - (-63 - (-4)/4).
59
Let w = 35 + -15. Suppose 2*u = 5*v + u + w, -4*v - 16 = -4*u. List the prime factors of 9/(18/20) - v.
2, 7
Suppose -4*g = 5*i - 3223, -11*g + 9*g - 3211 = -5*i. List the prime factors of i.
643
What are the prime factors of -2 + 2 + (-18)/(-3) + -4?
2
Let o(s) = 2*s**2 + 3*s + 2. Let n be o(-8). Suppose 4*l - n = 14. List the prime factors of l.
2, 3, 5
Let i be (-47)/(1/27*-3). Suppose -2*d + i = -169. List the prime factors of d.
2, 37
Let s(x) = x**2 + x + 10. Suppose 5*i - n + 5 = -0*i, 5*i = -3*n + 15. List the prime factors of s(i).
2, 5
Let x(l) be the first derivative of l**3/3 - 5*l**2/2 - 4*l - 11. List the prime factors of x(6).
2
Let x be 43 - (2 + -1 - 2). Let r = 3 + -1. Suppose 4*l = 3*t + x, -r*t = -7*t - 20. List the prime factors of l.
2
What are the prime factors of (-6)/(-5)*(54915/(-6))/(-7)?
3, 523
Let m(s) be the second derivative of 2*s**3/3 + 27*s. What are the prime factors of m(9)?
2, 3
Suppose 0 = -8*f + 3*f + 10. Suppose 8*z - 630 = f*z. What are the prime factors of z?
3, 5, 7
Let u be (-2)/(1 + (-14)/12). Let h(p) = 3*p + 9. What are the prime factors of h(u)?
3, 5
Suppose -79*t + 75*t = 1516. Let x = t - -655. List the prime factors of x.
2, 3, 23
Suppose 16*i - 11*i - 645 = 0. Let f = -79 + i. What are the prime factors of f?
2, 5
Suppose -4*t + 2*n + 3*n = -85, t - 24 = 4*n. Let v = 36 - t. Suppose 3*i + 2*j + 1 = 0, -i - v = 2*i + 5*j. What are the prime factors of i?
3
Let x = 37 + -84. What are the prime factors of (1 - (0 + -1))/((-2)/x)?
47
What are the prime factors of -58*(5 - 75/10)?
5, 29
Let v = 10 + -41. Let t be -1 + (-1)/(1/v). Let a = t + 0. List the prime factors of a.
2, 3, 5
Let s(d) be the second derivative of -d**3/3 - 10*d**2 - 2*d. Let z be s(-10). Suppose 3*m + 4*b = 148, -2*m + 96 = -z*m + 2*b. List the prime factors of m.
2, 11
Suppose -2*n + 953 = -5*b + 246, 4*n + 5*b = 1399. List the prime factors of n.
3, 13
Let g(x) = -21*x - 8. List the prime factors of g(-5).
97
Let a = 14 - 14. Suppose 2*n - 3*p = -43, 0 = 3*p - a*p - 15. Let q = n - -40. What are the prime factors of q?
2, 13
Let c = 22 + -10. Suppose -n = 4*g -
|
{
"pile_set_name": "DM Mathematics"
}
|
first derivative of f(q). What is the derivative of b(w) wrt w?
-18*w**2
Let j(t) be the second derivative of -43*t**8/56 + 13*t**4/6 + 56*t. Find the third derivative of j(i) wrt i.
-5160*i**3
Suppose c = -0*c - 5. Suppose 2 - 8 = -t. Let q(y) = 3*y - 5. Let b(p) = 3*p - 4. Let n(z) = c*q(z) + t*b(z). Differentiate n(g) wrt g.
3
Find the third derivative of 15*i**2 - 19*i**4 - 14*i**2 - 2*i**4 wrt i.
-504*i
Let m be (-4)/(-14) + (-48)/(-28). What is the third derivative of -4*p**m + 3*p**2 + 4*p**2 - 2*p**3 + p**3 wrt p?
-6
Let k be (1 - 0)*(-1 - -3). Find the second derivative of 2*n + 4*n + k*n**5 - 6*n + 6*n wrt n.
40*n**3
Let p(x) be the first derivative of -8 + 0*x - 8/3*x**3 - 2*x**2. Find the second derivative of p(l) wrt l.
-16
Suppose 5*w + 25 = 2*j + 3*j, 0 = 3*w + 6. What is the second derivative of -28*k**j + 5*k + 28*k**3 - 8*k**4 wrt k?
-96*k**2
Let m(f) = 35*f - 4. Let v(n) = -n. Let s(r) = m(r) - 3*v(r). What is the first derivative of s(q) wrt q?
38
Differentiate -2 + 3*w - 5*w - 3*w - 4 with respect to w.
-5
Let i(p) be the second derivative of -2*p**4/3 - 3*p**2/2 + 3*p. Find the first derivative of i(n) wrt n.
-16*n
What is the third derivative of 0*j + 0*j - 4*j**6 - 23*j**2 + 20*j**2 wrt j?
-480*j**3
Suppose -5*f = 2*a + 4, -4*f = -7*f - 6. What is the derivative of -2*j - 4*j**a - 2 - j + 3*j wrt j?
-12*j**2
Let u be ((-2)/6)/(1/(-27)). Let w be ((-33)/u)/((-2)/6). What is the third derivative of 11*g - g**2 - w*g + 2*g**6 wrt g?
240*g**3
Suppose 0 = -3*n + 21 - 15. Let t(j) be the second derivative of 1/6*j**4 + 0*j**3 + 1/10*j**5 + 0 + 0*j**n + 2*j. What is the third derivative of t(q) wrt q?
12
Suppose 8 = -2*r + r. Let c = r + 11. Differentiate -1 + 2 - c - 2*f**4 with respect to f.
-8*f**3
Let v(i) be the first derivative of 2 + 5/2*i**2 + 3*i. Let s(f) = -6*f - 4. Let m(q) = -2*s(q) - 3*v(q). Differentiate m(b) wrt b.
-3
Suppose z = -4*g - 11, -2*g - 2 = z - g. Suppose 3*t + 5*m = -t + 23, 0 = t + m - 5. Differentiate -k - z + 3*k**t + k wrt k.
6*k
Let t = -8 - -12. Suppose 2*d - 24 = -t*v, -2*d + 7*v - 3*v - 16 = 0. What is the second derivative of k**2 + k - 2*k**d + k wrt k?
-2
Suppose -2*a + 1 = -3. Differentiate -a + 1 + p + p - 3*p with respect to p.
-1
Find the third derivative of -4*c**2 + 4*c**5 + 5 + 7*c**5 - 5 wrt c.
660*c**2
Let m(r) be the first derivative of -25*r**6/6 + 8*r**3/3 + 20. Find the third derivative of m(v) wrt v.
-1500*v**2
What is the derivative of -21*z - 7 - 12 + 36 wrt z?
-21
Let a(y) = -y**3 + 8*y**2 - 8*y + 8. Let u be a(7). Find the first derivative of 0 + 2 - u - 3 - 2*g**2 wrt g.
-4*g
Let n(f) be the second derivative of -f**6/30 - 3*f**5/20 - f**4/3 + 3*f**2/2 - 2*f + 7. Find the third derivative of n(p) wrt p.
-24*p - 18
Let k be 3 - (-3 - -2)*1. Suppose -k*s = -3*d + 4 + 16, -5*d + 14 = 3*s. Find the second derivative of -2*r**4 - 2*r**d + 2*r + 3*r**4 wrt r.
-12*r**2
Differentiate -4 + 9*j - 2*j + 2 wrt j.
7
Let y(u) = 6*u - 1. Suppose 3*h = 0, -4*w + 5*w - 5*h - 1 = 0. Let n be y(w). Find the third derivative of 2*m**3 + 2*m**2 + m**n - 2*m**3 wrt m.
60*m**2
Find the second derivative of 50*c**5 - 3*c - 14*c - 5*c - 26*c**5 wrt c.
480*c**3
Let v(d) = d. Let k(l) = 4*l - 5. Suppose -3*r = -5*i - 6, -i - 2*r = 3*i + 18. Let t(y) = i*v(y) - k(y). What is the derivative of t(z) wrt z?
-7
What is the second derivative of -25*d**3 + 53*d**3 + 3*d - 25*d**3 wrt d?
18*d
Let t(n) be the first derivative of -29*n**5/5 - 4*n - 34. Find the first derivative of t(b) wrt b.
-116*b**3
Let z = 3 + 10. What is the derivative of -2*x - 9 + z - 2*x - 5*x wrt x?
-9
Let z(h) = 14*h**4 - 6*h**3 + 6*h**2 - 6*h + 7. Let v(b) = -b**4 - b**3 + b**2 - b + 1. Let r(x) = 6*v(x) - z(x). What is the first derivative of r(t) wrt t?
-80*t**3
Suppose -4*t + 6 + 6 = 0. Suppose -5*g = -t*g - 6. Find the third derivative of -2*l**2 + l**2 - l**2 - l**g wrt l.
-6
Suppose 0 = -5*k + z + 9, -4*k + 6 = -3*z + z. What is the first derivative of x**k + 15*x + 1 - 15*x wrt x?
2*x
Let f(n) be the first derivative of -n**7/70 - n**3/2 + 2*n**2 - 5. Let g(t) be the second derivative of f(t). What is the first derivative of g(c) wrt c?
-12*c**3
Let i be (-1925)/(-14)*12/15. Find the second derivative of i*f**4 - 4*f**5 - 110*f**4 - 2*f wrt f.
-80*f**3
Let n(h) = -18*h**2 - 13*h - 25. Let m(z) be the first derivative of 3*z**3 + 3*z**2 + 12*z - 4. Let p(s) = 13*m(s) + 6*n(s). Differentiate p(k) wrt k.
18*k
Find the second derivative of 7*u**5 - 36*u - 2*u**5 + 30*u wrt u.
100*u**3
Let p(b) be the second derivative of 4*b**6/15 + 4*b**2 + 3*b. What is the derivative of p(u) wrt u?
32*u**3
Let w = 3 - 3. Let f(k) be the second derivative of -3/2*k**2 + w*k**4 - k + 0*k**3 + 1/20*k**5 + 0. What is the first derivative of f(o) wrt o?
3*o**2
Let j(v) be the second derivative of 4/3*v**3 + 0*v**2 - 3/10*v**5 + 0*v**4 + 5*v + 0. What is the second derivative of j(u) wrt u?
-36*u
Find the first derivative of -7 + 2*g**2 + 9*g**2 + 6 wrt g.
22*g
Suppose 8*w - 3*w = 4*d - 6, 0 = -3*w + 6. Find the first derivative of 10 + 2*c**3 - 2*c**3 + c**d wrt c.
4*c**3
Let w(c) = -c**5 - c**4 + c**2. Let y(k) = -15*k**5 - 5*k**4 + 20*k**2. Let s(o) = -5*w(o) + y(o). Find the third derivative of s(p) wrt p.
-600*p**2
Find the third derivative of 31*i**2 + 6*i**5 - 77*i**2 + 37*i**2 wrt i.
360*i**2
Let w(v) = v**2 - v + 1. Let s(x) = 5*x**2 + 4*x - 17. Let h(t) = -s(t) - 4*w(t). Find the first derivative of h(d) wrt d.
-18*d
Let f(q) be the first derivative of -19*q**4/2 + 31*q + 37. What is the derivative of f(x) wrt x?
-114*x**2
Let t(b) = b**3 + 4*b**2 - 4*b + 6. Let i be t(-5). What is the first derivative of -i - 2 - 2*u + u + 2*u wrt u?
1
Let a = -3 + 3. Find the third derivative of -s**4 + 2*s**4 - 3*s**2 + a*s**2 wrt s.
24*s
Let u(i) be the third derivative of i**8/56 + 3*i**4/4 + 21*i**2. What is the second derivative of u(w) wrt w?
120*w**3
Let q(z) = -189*z**3 + 9. Let r(n) = 19*n**3 - 1. Let u(y) = 2*q(y) + 21*r(y). Differentiate u(p) with respect to p.
63*p**2
Let p(h) be the third derivative of h**7/30 + 2*h**3/3 - 6*h**2. Differentiate p(z) with respect to z.
28*z**3
Let b(u) be the first derivative of u**7/420 - u**5/120 + 2*u**3/3 - 3. Let c(m) be the third derivative of b(m). Find the second derivative of c(n) wrt n.
12*n
Let s = -83/10 - -49/5. Let t(l) be the second derivative of 0 - 1/10*l**5 + 0*l**4 + 0*l**3 + 4*l + s*l**2. What is the first derivative of t(a) wrt a?
-6*a**2
Let q(x) be the first derivative of -5*x**7/42 + x**3/3 - 4*x + 3. Let t(s) be the first derivative of q(s). Find the second derivative of t(o) wrt o.
-100*o**3
Let z(k) be the second derivative of k**5/5 - k**3/2 + 5*k. What is the second derivative of z(d) wrt d?
24*d
Let f be -1*((-14)/4 + 3). Let s(g) be the first derivative of -1 - g - f*g**2. What is the derivative of s(u) wrt u?
-1
Let z(y) be the third derivative of y**6/40 - y**5/10 - 5*y**2. Find the third derivative of z(s) wrt s.
18
Let n(q) = 17*q**5 - 11*q**2 + 24*q - 11. Let g(d) = -9*d**5 + 6*d**2 - 12*d + 6. Let i(w) = -11*g(w) - 6*n(w). What is the second derivative of i(u) wrt u?
-60*u**3
Let q(a) be the second derivative of a**6/60 + 5*a**4/24 + 3*a**2/2 - 5*a. Let y(m) be the first derivative of q(m). Find the second derivative of y(g) wrt g.
12*g
Find the second derivative of 475*l + 59*l**3 - l**2 + l**2 - 524*l wrt l.
354*l
Suppose 0 = -5*a + 5*q, 3*a + 0*a = -3*q + 24. Find the third derivative of -p**4 + 7*p**a - p**2 - 3*p**4 + 4*p**2 wrt p.
72*p
Suppose -5*p = -2*r - 7 - 20, 3*p - 17 = 2*r. Let c be -4*-2*(-3)/(-12). What is the third derivative of f**p + 3*f**c - 3*f**2 + f**2 wrt f?
60*f**2
Let i(c) = -c + 1. Let q be i(-1). What is the third derivative of s**5 - s**q + 2*s**2 + 2*s**4 - 2*s**4 wrt s?
60*s**2
Let m(b) be the second derivative of -b**7/420 + b**4/24 - b**3/6 + b. Let l(u) be the second derivative of m(u). Differentiate l(y) wrt y.
-6*y**2
Let u(r) = 2*r - 4. Let f be u(3). Let d(i) = i**3 + 4*i**2 - i - 2. Let x be d(-4). Find the second derivative of 2*w**2 + 2 + x*w - f wrt w.
4
Let i = -32 + 38. Let j(f) be the second derivative of 0*f**2 + 0*f**5 + f + 0 - 1/3*f**3 + 1/15*f**i + 0*f**4. What is the second derivative of j(h) wrt h?
24*h**2
Let o(l)
|
{
"pile_set_name": "DM Mathematics"
}
|
84 and 308632216?
184
What is the greatest common divisor of 75043643 and 215?
43
What is the highest common factor of 81 and 40718583?
9
What is the greatest common factor of 2053415 and 14?
7
Calculate the highest common divisor of 397615 and 380635.
1415
Calculate the greatest common divisor of 1191806 and 8459.
11
Calculate the greatest common factor of 1031379 and 23187.
177
Calculate the highest common factor of 156655 and 661249.
1649
Calculate the greatest common divisor of 6768502 and 3744.
26
What is the highest common divisor of 17592232 and 5946?
1982
What is the highest common divisor of 77925 and 76886?
1039
Calculate the highest common factor of 14014 and 607331725.
7007
What is the highest common divisor of 3280 and 1602400?
80
Calculate the highest common divisor of 196430265 and 3810.
1905
What is the highest common factor of 81892 and 2392745?
59
What is the greatest common divisor of 2558700 and 3816?
36
Calculate the greatest common factor of 48545 and 294736113.
9709
Calculate the highest common divisor of 54824 and 4129244.
2492
Calculate the greatest common factor of 40155792 and 736.
368
Calculate the highest common factor of 377304 and 316632.
1896
Calculate the greatest common divisor of 2564248 and 3996.
148
Calculate the greatest common divisor of 758193879 and 19.
19
Calculate the highest common divisor of 7176 and 8288952.
24
What is the highest common divisor of 11347099 and 35981?
3271
Calculate the highest common factor of 4843800428 and 3092.
3092
Calculate the greatest common factor of 2107512 and 19008.
2376
What is the highest common factor of 3168 and 1960200?
792
What is the highest common divisor of 13020 and 2037?
21
Calculate the greatest common factor of 3052163 and 5587.
151
What is the greatest common factor of 7023948 and 21684?
1668
What is the highest common factor of 48276 and 1925080?
596
Calculate the greatest common divisor of 66992 and 121264.
848
What is the greatest common factor of 11286 and 1101122?
22
Calculate the highest common divisor of 7791509 and 368869.
2263
Calculate the highest common divisor of 30783 and 1367007.
93
What is the greatest common factor of 147 and 7799316?
21
What is the highest common divisor of 80927129 and 3062?
1531
What is the greatest common factor of 11 and 19103907?
1
What is the greatest common factor of 37238211 and 6885?
1377
What is the highest common divisor of 7830 and 61393?
29
What is the highest common divisor of 2434363 and 119439?
577
What is the greatest common divisor of 528583 and 1160?
29
Calculate the highest common divisor of 959 and 1461.
1
Calculate the greatest common divisor of 319146 and 5138498.
2474
Calculate the greatest common divisor of 78105 and 31980.
615
What is the highest common factor of 1410 and 6896028?
282
What is the highest common divisor of 96492 and 83589?
561
Calculate the highest common divisor of 46 and 90622714.
46
What is the highest common factor of 99020383 and 14?
7
Calculate the highest common divisor of 2352978 and 270729.
333
Calculate the greatest common divisor of 252 and 67846198.
14
Calculate the highest common divisor of 2317219 and 4743.
527
What is the greatest common factor of 528 and 122172688?
176
What is the greatest common factor of 2425 and 113878?
97
Calculate the greatest common divisor of 3888320 and 1015.
145
Calculate the greatest common factor of 219 and 260666502.
219
Calculate the highest common factor of 25 and 42184325.
25
Calculate the greatest common factor of 2975 and 94492375.
425
What is the highest common divisor of 8414 and 2397389?
601
What is the highest common divisor of 71980870 and 130?
130
Calculate the highest common factor of 48 and 161472656.
16
What is the highest common factor of 109800648 and 193546?
6674
What is the greatest common divisor of 211926 and 3522?
6
Calculate the greatest common divisor of 439872 and 156.
12
What is the highest common factor of 150155 and 198510?
2545
What is the greatest common divisor of 122 and 3650?
2
Calculate the greatest common factor of 153282 and 13639500.
2598
What is the highest common factor of 37698 and 217948?
206
Calculate the highest common divisor of 14385199 and 1.
1
Calculate the greatest common factor of 25356253 and 7267.
169
Calculate the highest common factor of 96609 and 21.
3
Calculate the highest common factor of 3088 and 50609618.
386
What is the highest common divisor of 6104682 and 198543?
687
Calculate the greatest common factor of 147951 and 6949829.
967
Calculate the greatest common divisor of 2894254 and 1086580.
9878
Calculate the greatest common factor of 21344 and 36968.
8
Calculate the greatest common factor of 98674851 and 34.
17
What is the highest common divisor of 633190 and 26680?
230
What is the greatest common divisor of 1873745 and 90871?
751
What is the highest common divisor of 104630196 and 369?
123
What is the highest common divisor of 39460 and 235763635?
9865
What is the greatest common divisor of 4995929 and 62?
31
What is the highest common factor of 16478 and 13375642?
1498
Calculate the highest common factor of 3040531855 and 6715.
6715
What is the highest common factor of 562626 and 15251?
151
Calculate the highest common factor of 7672550 and 52592.
346
What is the highest common factor of 37918583 and 103247?
4489
What is the highest common divisor of 2860386 and 71978?
986
What is the greatest common factor of 50 and 13623250?
50
What is the highest common factor of 17633484 and 4158?
594
What is the highest common divisor of 137428 and 1224?
68
What is the highest common factor of 562118461 and 13934?
6967
Calculate the highest common factor of 910637 and 5824.
91
Calculate the greatest common factor of 1891 and 80570519.
31
Calculate the greatest common divisor of 54104576 and 48.
16
What is the highest common divisor of 115 and 229638785?
115
What is the greatest common divisor of 54 and 489731967?
27
What is the greatest common divisor of 154105622 and 542960?
13574
What is the highest common divisor of 4122350 and 5800?
1450
Calculate the greatest common divisor of 12883595 and 30.
5
Calculate the greatest common factor of 196290595 and 3595.
3595
What is the highest common factor of 92 and 29117310?
46
Calculate the highest common divisor of 778601 and 32402.
953
Calculate the greatest common factor of 12274 and 1182826.
646
What is the greatest common divisor of 27010 and 277765?
365
What is the greatest common factor of 7060 and 1032402156?
1412
What is the greatest common divisor of 11378 and 3141?
1
Calculate the highest common divisor of 816366 and 402498.
2274
What is the highest common divisor of 67418291 and 9687?
3229
Calculate the greatest common divisor of 15 and 1576293.
3
What is the highest common factor of 428 and 31412?
4
What is the highest common factor of 235899840 and 352?
352
Calculate the greatest common factor of 485002 and 686.
686
Calculate the greatest common divisor of 17724 and 608454.
42
What is the highest common factor of 33216 and 147648?
192
Calculate the highest common factor of 186632 and 6619696.
328
Calculate the greatest common divisor of 2366367 and 48.
3
What is the highest common factor of 21658007 and 1946?
973
What is the greatest common divisor of 7525378 and 2870?
14
What is the greatest common divisor of 75 and 1370185?
5
What is the highest common factor of 1021146 and 217?
7
Calculate the highest common divisor of 58 and 747891440.
58
Calculate the greatest common factor of 188061183 and 14418.
7209
Calculate the greatest common divisor of 6675900 and 561.
561
What is the highest common divisor of 16 and 57173216?
16
Calculate the highest common factor of 10299 and 49488.
3
What is the greatest common factor of 22612888 and 21204?
2356
Calculate the highest common factor of 10068 and 47364.
12
What is the greatest common factor of 14 and 44854747?
7
What is the highest common divisor of 1026314255 and 205?
205
What is the greatest common factor of 108358356 and 21936?
5484
Calculate the greatest common divisor of 115 and 131603171.
23
What is the highest common divisor of 3319558677 and 387?
387
Calculate the greatest common divisor of 764959 and 163.
163
Calculate the highest common factor of 418 and 1297586.
38
Calc
|
{
"pile_set_name": "DM Mathematics"
}
|
q + l*x, 2*q - 151 = -5*x. Does 21 divide q?
True
Let y = -22 + 20. Let d(g) = g**3 + 5*g**2 + 2. Let t be d(-5). Is 15 a factor of t*((-81)/y)/3?
False
Let p = -89 - -252. Suppose -5*o + p + 92 = 0. Is o a multiple of 17?
True
Suppose -2*j - 3*j = -45. Let w be 3/j + 8/3. Suppose -2*z = w*z - 25. Is 4 a factor of z?
False
Let s(p) = -30*p**3 + 3*p**2 + 2*p - 6. Is 25 a factor of s(-3)?
True
Suppose -3*t - 2*h + 96 = -t, 42 = t - h. Let a = -8 + t. Is 17 a factor of a?
False
Let y = 7698 - 4279. Is 13 a factor of y?
True
Let f = 45 - -307. Suppose -5*d + d = -f. Does 24 divide d?
False
Suppose 2*l + 10 = 586. Is 24 a factor of l?
True
Suppose 25 = -5*a, 2*a + 19 = -y - 14. Let o = 41 + y. Is o a multiple of 6?
True
Let d(u) = -u**2 + 23*u - 4. Suppose 4*n + 0*a + a = 63, 3*a + 15 = 0. Is 14 a factor of d(n)?
True
Let h be (-3 - -36)/(-3) - 1. Let c(y) = -5*y - 11. Is c(h) a multiple of 16?
False
Let m(r) = 4*r + 31. Let q be m(-7). Suppose x + 4*k - 5 = 0, q*k = k - 8. Is x a multiple of 7?
True
Let o = -84 - -14. Let y = o + 132. Is y a multiple of 31?
True
Let d(n) = 7*n**2 - 14*n - 360. Is d(-12) a multiple of 34?
True
Let k be 3 - (1 + 8 + 0/(-1)). Does 2 divide 29 + ((-3)/(-1) + k - -5)?
False
Let f = 3 + -3. Is 10 a factor of (-22)/(-10)*(f + 5)?
False
Does 49 divide 2356 - (6 + -17) - 6/3?
False
Let l be (5 + -2 + -4)*-121. Suppose 0 = -s + 2*s - l. Is 11 a factor of s?
True
Let k be (-3 - -2)*14/2. Let p = -4 - k. Suppose -3*o + s = -136, o + p*s - 177 = -3*o. Is 15 a factor of o?
True
Let h(n) = -12*n - 25. Let d be h(9). Let j = 283 + d. Does 23 divide j?
False
Let u(v) be the second derivative of 7*v**4/4 - v**2/2 - 11*v + 3. Let x = -2 + 3. Does 20 divide u(x)?
True
Is 14 a factor of (7866/(-27) - -2)/((-2)/3)?
True
Let y(n) = 30*n**2 - 18*n - 14. Does 16 divide y(6)?
False
Let o = 498 - -933. Is 14 a factor of o?
False
Let m = 3957 - 2683. Is m a multiple of 14?
True
Suppose 2*d - 4*k = -25 + 5, -3*k = -9. Let p(a) = -a**3 - 3*a**2 + 2*a - 4. Let n be p(d). Suppose 0*t - n*t - l + 37 = 0, 4*l + 5 = t. Is t a multiple of 5?
False
Let r be (-2)/(-10) - 7495/(-25). Suppose 2*u - 8*u = -r. Is 18 a factor of u?
False
Let g(t) = 2*t**2 - 8*t + 18. Let s be g(4). Let k = 29 - s. Is 4 a factor of k?
False
Let j be (-3 - 0)/3 - -566. Suppose -2*f = 5*b + j, -f + 2*b = -89 + 385. Is 6 a factor of f/(-14) + (-2)/(-7)?
False
Let d = -58 - -228. Is d a multiple of 34?
True
Let b(w) = 3*w + 50. Let f be b(11). Let q = -11 + 56. Let o = f - q. Is o a multiple of 27?
False
Let z(a) = 6*a**3 - a**2 + 4*a + 5. Is z(4) a multiple of 63?
False
Is 5 a factor of (3545/(-20) - -6)/(1/(-4))?
True
Suppose -4*v + 86 = -3*f - 235, v - 2*f = 79. Suppose 3*r = -5*l + v, 45 = 2*l - 2*r - r. Does 9 divide l?
True
Let p = -30 - -53. Let h = -62 + p. Let r = -17 - h. Is r a multiple of 15?
False
Suppose 4*z + 2*z = 816. Let m = -71 + z. Does 13 divide m?
True
Let u(a) = 739*a + 10. Let c be u(10). Let j be c/14 - (-24)/(-42). Is 11 a factor of (1/4)/(12/j)?
True
Let m = 7 - 4. Suppose 30 + 0 = m*r. Does 12 divide ((-52)/(-8) - 1)*r?
False
Let k = 110 - 40. Is k a multiple of 13?
False
Suppose 3*x = 19 + 5. Does 42 divide (3/(-6))/(x/(-1808))?
False
Let y = 507 + -199. Suppose -5*t = h - 356, 0*t = 4*t - 5*h - y. Is 16 a factor of t?
False
Let t = -1128 + 2316. Is 108 a factor of t?
True
Suppose 300 = 8*x - 7*x. Suppose -44*v = -39*v - x. Is v a multiple of 19?
False
Let x(o) = 15*o**3 + 2*o**2 + 2*o + 11. Is x(3) a multiple of 55?
True
Suppose 32 = 2*v - 32. Does 21 divide (v - 8)*(-4)/(12/(-7))?
False
Is 9 a factor of 192 + -1 + 6 + 4?
False
Let m(k) = k + 4. Let a be m(0). Suppose -4*u = 5*f - 22, -a*u + 0*f = -4*f - 4. Suppose -u*q + 50 = 2*q. Is q a multiple of 5?
True
Let p be (0/(-1) - 0) + 8. Suppose 16 = -4*i + p*i. Suppose -m + 5*j = -41, i*m - 2*j = 2*j + 116. Is m a multiple of 13?
True
Let g = 4 + -11. Let n = g - 15. Let i = 5 - n. Does 22 divide i?
False
Let x = -873 - -1368. Is 15 a factor of x?
True
Let l(t) = 20*t**2 + 2*t + 4. Suppose -2 = v - 4*u - 1, u - 2 = 0. Let b = v + -9. Does 16 divide l(b)?
True
Suppose -189 = -2*x + 193. Suppose 3*o - x = -2*o - t, t = 3*o - 121. Let i = o + 9. Does 10 divide i?
False
Suppose -3*o - 23 = 4. Let f(q) = -q**2 - 8*q + 11. Let n be f(o). Is (60/(6/n))/1 a multiple of 6?
False
Let k(z) = -z**3 - 3*z**2 + 6*z + 6. Let i be k(-5). Suppose -29*x = -i*x - 102. Is 34 a factor of x?
True
Let a be 4/8*2 + -1. Suppose 5*c + 4*n - 2*n = 74, 3*c - 4*n = 60. Suppose a = 3*h - 154 + c. Is h a multiple of 6?
False
Let n(b) = -349*b - 85. Does 19 divide n(-4)?
True
Let y(g) = 8*g**2 + 2*g + 1. Let o be y(-1). Suppose 3*u - o*u + 4 = 0. Suppose -4*d = 2*f - 18, -2*f - 10 = -5*d - u. Does 3 divide f?
True
Let a = -1551 + 2801. Is a a multiple of 50?
True
Let t(o) = -2*o - 13. Let r be t(-9). Suppose -5*k + r*u + 1100 = 0, k + 4*u = 273 - 73. Is 17 a factor of k?
False
Let b = 21 - 13. Suppose b - 120 = -d. Does 14 divide d?
True
Let d = 157 - 61. Let r = 164 - d. Suppose -3*h - n + r = 0, -3*n - 3 = 9. Is h a multiple of 24?
True
Suppose -4 = 3*k - 2*k. Let y be 5103/12 + (-3)/k. Suppose -3*w - 3*w + y = 0. Is 13 a factor of w?
False
Let d(y) be the first derivative of y**4/4 + 2*y**3 - 4*y**2 + 8*y + 13. Does 5 divide d(-7)?
True
Let h be (6 - (5 + -1)) + 9. Let s(l) = l - 4 + 6 - h*l + 9 + l**2. Does 2 divide s(9)?
True
Let t(k) = 3*k**3 - 5*k**2 + 4*k. Let n = -9 - -11. Suppose 4*a - 23 = -r, 0 = r + n*r - 5*a + 16. Does 8 divide t(r)?
True
Let c(h) be the first derivative of -h**2/2 + 14*h + 3. Let p be c(10). Is 14 a factor of p*((-210)/8)/(-5)?
False
Let y be (-1 - 7) + (-2 + 2)/(-2). Is (-237)/y - (-39)/104 a multiple of 5?
True
Is (1216/(-190))/(2/(-330)) a multiple of 44?
True
Suppose 5*s = 407 + 753. Does 5 divide s?
False
Suppose -3*f + 71 = -3*d - d, 0 = -3*d + f - 52. Let p(a) = -12*a + 8. Let v(w) = 37*w - 23. Let x(n) = d*p(n) - 6*v(n). Does 17 divide x(-2)?
False
Suppose -19 + 91 = 3*z. Let u = z - 10. Does 14 divide u?
True
Let l(f) = f**2 - 4*f + 6. Let r(w) = 5*w**2. Let h be r(-1). Let j = h - 9. Is l(j) a multiple of 16?
False
Suppose 4*n - 3222 = -2*i, n - 4026 = -4*n - 2*i. Is 67 a factor of n?
True
Let o = 250 - 23. Is 4 a factor of o?
False
Let f(c) = -10*c - 22. Suppose -2*s - s - 55 = 4*b, -4*s - 5*b = 72. Is 18 a factor of f(s)?
True
Let y = -11 - -8. Let z be (-1)/y*0 - -2. Suppose c = z*c - 54. Does 15 divide c?
False
Let n be 264/42 + -2 + 4/(-14). Suppose -17 = 5*r + n*x - 108, r = -3*x + 27. Is 11 a factor of r?
False
Suppose c = 3*t + 2*t - 228, 5*c = 10. Let o = t + -33. Suppose -4 + o = g. Is g a multiple of 9?
True
Suppose -2*s + 3*y = 228 - 909, -3*s + 5*y = -1021. Let h = s + -180. Is h a multiple of 18?
True
Is ((-8)/5)/((-7)/2730) a multiple of 20?
False
Let r be (-30)/(-18)*(-12)/(-10). Suppose -5*d + 4*z + 1486 = 0, -3*d - r*z + 6*z + 898 = 0. Does 26 divide d?
False
Let d(g) = 8*g**2 + 2*g + 3. Let p be (-6)/(-4)*24/18. Suppose -14 = -p*h - 2*l, 2*h = -3*l - l + 22. Is 27 a factor of d(h)?
True
Let t(f) = -f**2 + f + 3. Let h be t(0). Suppose 7*q = h*q. Suppose 3*z + 0*z - 216 = q. Does 24 divide z?
True
Let x(f) be the second derivative of -f**5/20 + 3*f**4/4 + 7*f**3/3 - 16*f. Does 8 divide x(10)?
True
Let c be ((-1)/(-2))/((-1)/32). Let g = 29 + c. Suppose m = g + 26. Is 16 a factor of m?
False
Suppose -144*h + 8766 = -126*h. Is 40 a factor of h?
False
Suppose r = -4*i - 33, -2*i = 3*i. Let w = r - -90. Does 19 divide w?
True
Suppose -8*q = -455 - 41. Let z = q - 34. Is 7 a factor of z?
True
Let b = 92 + 224. Is b a multiple of 28?
False
Let a = -147 + 387. Let y = -147 + a. Suppose 129 + y = 6*k. Is k a multiple of 8?
False
Let h(k) = k**2. Suppose 9*b = 16 + 11. Let y(p) = -p**3 - 18*p**2 + 16*p + 16. Let w(n) = b*h(n) + y(n). Is w(-16) a multiple of 5?
False
Suppose -5*f = 4*p - 1812, 3*p + 648 + 450 = 3*f. Does 7 divide f?
True
Suppose x - 5*j - 1909 = 0, 4*x - 23*j = -22*j + 7636. Is 83 a factor of x?
True
Let w(f) = 3*f**2 + 4 - 2*f**3 - 9*f**2 + 0 + f + f**3. Let t be w(-6). Is 5 a factor of (64/(-20))/(t/15)?
False
Suppose -3*c = -5 - 94. Is c a multiple of 5?
False
Let f(s) = 3*s**2 + 7*s - 17. Let t(n) = n**2 + 4*n - 6. Let z(q) = 3*f(q) - 8*t(q). Let w(p) = -p*
|
{
"pile_set_name": "DM Mathematics"
}
|
millions digit of 256102878?
2
What is the thousands digit of 300530207?
0
What is the millions digit of 280540032?
0
What is the ten millions digit of 84125549?
8
What is the hundred millions digit of 886440105?
8
What is the ten millions digit of 87015417?
8
What is the ten millions digit of 822117384?
2
What is the tens digit of 5143859?
5
What is the units digit of 706855983?
3
What is the hundreds digit of 26090278?
2
What is the ten thousands digit of 481842166?
4
What is the ten millions digit of 99714772?
9
What is the tens digit of 976873302?
0
What is the billions digit of 2076367157?
2
What is the thousands digit of 172947269?
7
What is the units digit of 295205753?
3
What is the thousands digit of 358167541?
7
What is the hundred thousands digit of 506852436?
8
What is the hundred millions digit of 307053860?
3
What is the hundreds digit of 753224075?
0
What is the millions digit of 73470277?
3
What is the units digit of 244082903?
3
What is the hundred thousands digit of 184958988?
9
What is the millions digit of 430042744?
0
What is the hundred thousands digit of 7105246887?
2
What is the hundred thousands digit of 21872286?
8
What is the tens digit of 3488731170?
7
What is the ten millions digit of 54637398?
5
What is the thousands digit of 2939249442?
9
What is the hundreds digit of 2965268612?
6
What is the ten thousands digit of 1044394218?
9
What is the ten millions digit of 1116803663?
1
What is the hundreds digit of 21165889?
8
What is the units digit of 5708140?
0
What is the hundred thousands digit of 34480118?
4
What is the hundred millions digit of 7441352461?
4
What is the thousands digit of 2811575916?
5
What is the units digit of 1787978234?
4
What is the hundred millions digit of 1253134285?
2
What is the millions digit of 873557280?
3
What is the ten thousands digit of 594337906?
3
What is the hundreds digit of 830470691?
6
What is the units digit of 38115106?
6
What is the tens digit of 68822728?
2
What is the hundreds digit of 28221396?
3
What is the ten thousands digit of 221385461?
8
What is the hundred thousands digit of 429431646?
4
What is the ten thousands digit of 110495622?
9
What is the ten millions digit of 126203766?
2
What is the hundred thousands digit of 13923332?
9
What is the hundred thousands digit of 273025913?
0
What is the billions digit of 1246808732?
1
What is the hundred millions digit of 149445135?
1
What is the hundreds digit of 139594450?
4
What is the hundred thousands digit of 260354190?
3
What is the ten thousands digit of 142895265?
9
What is the millions digit of 225528417?
5
What is the thousands digit of 142805026?
5
What is the ten millions digit of 891788276?
9
What is the millions digit of 205282800?
5
What is the units digit of 18032730?
0
What is the hundred thousands digit of 70063891?
0
What is the hundred millions digit of 432959636?
4
What is the ten thousands digit of 522546240?
4
What is the millions digit of 2957376726?
7
What is the ten millions digit of 2177798295?
7
What is the thousands digit of 183002236?
2
What is the millions digit of 50727363?
0
What is the ten millions digit of 15350337?
1
What is the units digit of 690505433?
3
What is the hundred thousands digit of 28190245?
1
What is the billions digit of 3790789829?
3
What is the ten millions digit of 38649958?
3
What is the hundreds digit of 3940127?
1
What is the millions digit of 51018835?
1
What is the ten thousands digit of 763231427?
3
What is the thousands digit of 83966573?
6
What is the tens digit of 370963296?
9
What is the hundred millions digit of 300462649?
3
What is the units digit of 62167602?
2
What is the hundred thousands digit of 32594381?
5
What is the ten millions digit of 27784758?
2
What is the ten millions digit of 68946738?
6
What is the ten millions digit of 468989354?
6
What is the thousands digit of 27463347?
3
What is the millions digit of 505988804?
5
What is the billions digit of 2076212913?
2
What is the hundred millions digit of 4861722259?
8
What is the tens digit of 258328063?
6
What is the thousands digit of 2971311137?
1
What is the tens digit of 129842922?
2
What is the tens digit of 253535647?
4
What is the thousands digit of 5341259652?
9
What is the thousands digit of 56923708?
3
What is the tens digit of 160802678?
7
What is the ten millions digit of 6038121174?
3
What is the billions digit of 6486924505?
6
What is the millions digit of 70143754?
0
What is the units digit of 388671469?
9
What is the hundreds digit of 105061514?
5
What is the hundred millions digit of 549626839?
5
What is the thousands digit of 34186764?
6
What is the millions digit of 217793147?
7
What is the hundred thousands digit of 2844601644?
6
What is the units digit of 74303260?
0
What is the tens digit of 299694446?
4
What is the thousands digit of 70803?
0
What is the hundred millions digit of 1409096173?
4
What is the ten thousands digit of 868578206?
7
What is the thousands digit of 83793119?
3
What is the hundred thousands digit of 3209844726?
8
What is the hundreds digit of 257789286?
2
What is the millions digit of 7077697531?
7
What is the hundred thousands digit of 269267228?
2
What is the ten millions digit of 377622091?
7
What is the units digit of 237564746?
6
What is the units digit of 138638954?
4
What is the units digit of 146000657?
7
What is the hundred millions digit of 204279669?
2
What is the tens digit of 331963583?
8
What is the ten millions digit of 133078864?
3
What is the hundred thousands digit of 90581394?
5
What is the ten thousands digit of 499609035?
0
What is the hundred thousands digit of 3819815500?
8
What is the units digit of 68183188?
8
What is the ten millions digit of 32534970?
3
What is the ten thousands digit of 850312329?
1
What is the tens digit of 2568116957?
5
What is the thousands digit of 2994605?
4
What is the ten millions digit of 26688288?
2
What is the ten thousands digit of 145178094?
7
What is the hundred millions digit of 1239044877?
2
What is the tens digit of 218270323?
2
What is the ten millions digit of 28236973?
2
What is the thousands digit of 55194860?
4
What is the thousands digit of 23691780?
1
What is the ten thousands digit of 568476045?
7
What is the billions digit of 2936022815?
2
What is the ten millions digit of 24426182?
2
What is the thousands digit of 73268857?
8
What is the hundreds digit of 91104473?
4
What is the units digit of 333932999?
9
What is the thousands digit of 400851991?
1
What is the hundred thousands digit of 630165932?
1
What is the ten thousands digit of 5367809134?
0
What is the tens digit of 1102897360?
6
What is the ten millions digit of 18264413?
1
What is the hundred millions digit of 5651566695?
6
What is the units digit of 4416987161?
1
What is the tens digit of 1044895443?
4
What is the ten thousands digit of 3370516420?
1
What is the hundred millions digit of 197627500?
1
What is the hundred thousands digit of 437088367?
0
What is the thousands digit of 760290898?
0
What is the millions digit of 32638114?
2
What is the thousands digit of 2560924929?
4
What is the tens digit of 29624330?
3
What is the ten millions digit of 450313067?
5
What is the tens digit of 6496686573?
7
What is the units digit of 2699406239?
9
What is the hundred thousands digit of 5355805778?
8
What is the tens digit of 5917615646?
4
What is the thousands digit of 595553428?
3
What is the hundred millions digit of 1332241561?
3
What is the hundreds digit of 755009648?
6
What is the ten thousands digit of 3785658387?
5
What is the ten millions digit of 1961583673?
6
What is the hundred thousands digit of 3547189002?
1
What is the ten millions digit of 16474915?
1
What is the thousands digit of 5685708?
5
What is the thousands digit of 6658550?
8
What is the hundred millions digit of 129036543?
1
What is the ten millions digit of 3158036041?
5
What is the ten thousands digit of 2088101704?
0
What is the ten thousands digit of 26136281?
3
What is the millions digit of 107322183?
7
What is the tens digit of 131126146?
4
What is the hundred thousands digit of 315537345?
5
What is the millions digit of 4709614082?
9
What is the hundred millions digit of 146409210?
1
What is the thousands digit of 111957244?
7
What is the mi
|
{
"pile_set_name": "DM Mathematics"
}
|
picking 2 r when two letters picked without replacement from {r: 7}?
1
Calculate prob of picking 2 h and 1 u when three letters picked without replacement from {q: 1, h: 3, u: 1, c: 1, t: 1}.
3/35
Calculate prob of picking 2 x when two letters picked without replacement from gbxggxbggx.
1/15
What is prob of picking 2 l and 1 a when three letters picked without replacement from {x: 1, a: 1, z: 1, l: 2, j: 1, y: 1}?
1/35
What is prob of picking 1 f and 1 u when two letters picked without replacement from {u: 1, l: 1, f: 1, i: 1, t: 1}?
1/10
Three letters picked without replacement from dqdccqqdddcdcdqc. What is prob of picking 1 c and 2 d?
3/16
Calculate prob of picking 1 v and 1 f when two letters picked without replacement from {f: 15, v: 4}.
20/57
What is prob of picking 3 i when three letters picked without replacement from iwwiiwm?
1/35
Two letters picked without replacement from {u: 8, y: 3, o: 1, p: 2, l: 5}. Give prob of picking 2 u.
28/171
Four letters picked without replacement from ororoorrre. What is prob of picking 1 e, 2 r, and 1 o?
4/21
Three letters picked without replacement from {f: 15, s: 3}. What is prob of picking 3 f?
455/816
What is prob of picking 1 r and 1 u when two letters picked without replacement from {u: 8, r: 4, e: 4}?
4/15
What is prob of picking 2 k and 1 j when three letters picked without replacement from jjjjjjjdkjkjdjk?
6/91
Calculate prob of picking 2 t and 1 c when three letters picked without replacement from {c: 3, t: 5}.
15/28
Calculate prob of picking 1 c and 2 n when three letters picked without replacement from {n: 8, d: 2, q: 1, j: 2, c: 2}.
8/65
Four letters picked without replacement from {q: 3, n: 3, s: 2, r: 2, w: 1, m: 7}. What is prob of picking 3 n and 1 w?
1/3060
Calculate prob of picking 2 z, 1 n, and 1 b when four letters picked without replacement from zbeoppzoeoznpb.
6/1001
Two letters picked without replacement from {d: 1, f: 3, b: 1, h: 10}. What is prob of picking 1 d and 1 h?
2/21
What is prob of picking 2 n when two letters picked without replacement from nvvnsssnvsn?
6/55
Calculate prob of picking 1 m, 1 c, and 1 u when three letters picked without replacement from {y: 4, c: 1, u: 4, m: 1}.
1/30
Three letters picked without replacement from {v: 1, q: 2, k: 1, n: 1}. Give prob of picking 2 q and 1 v.
1/10
Calculate prob of picking 2 g and 1 r when three letters picked without replacement from {g: 3, m: 1, v: 1, o: 5, r: 1}.
1/55
Calculate prob of picking 1 n and 1 u when two letters picked without replacement from {m: 2, t: 1, u: 1, n: 3}.
1/7
What is prob of picking 3 z when three letters picked without replacement from {z: 15, o: 3}?
455/816
Three letters picked without replacement from {w: 2, u: 1, l: 6, z: 3}. Give prob of picking 1 w and 2 l.
3/22
Two letters picked without replacement from ooglgxplc. What is prob of picking 1 x and 1 l?
1/18
Three letters picked without replacement from mrjrxrjjrxzzm. Give prob of picking 1 r, 1 x, and 1 j.
12/143
What is prob of picking 1 j, 1 b, 1 u, and 1 r when four letters picked without replacement from {j: 1, u: 1, r: 1, b: 1, m: 1}?
1/5
What is prob of picking 1 l and 2 v when three letters picked without replacement from {z: 2, v: 2, l: 2}?
1/10
Calculate prob of picking 1 w, 1 o, and 2 l when four letters picked without replacement from {o: 1, q: 1, r: 5, w: 6, l: 2, p: 1}.
3/910
Four letters picked without replacement from {u: 2, j: 1, f: 7, m: 8, c: 2}. Give prob of picking 1 m, 2 c, and 1 f.
56/4845
Calculate prob of picking 1 i and 1 o when two letters picked without replacement from bobobbiibbii.
4/33
Four letters picked without replacement from {g: 6, n: 8, a: 1}. Give prob of picking 3 n and 1 a.
8/195
What is prob of picking 1 k and 1 f when two letters picked without replacement from {q: 2, w: 1, k: 4, t: 1, f: 7}?
4/15
What is prob of picking 3 t when three letters picked without replacement from {p: 1, c: 1, r: 2, m: 4, t: 3, x: 4}?
1/455
What is prob of picking 1 a and 1 w when two letters picked without replacement from wuububwasb?
2/45
Two letters picked without replacement from {n: 1, d: 2, r: 4, c: 9}. Give prob of picking 1 r and 1 n.
1/30
Calculate prob of picking 1 p, 1 d, and 2 j when four letters picked without replacement from {p: 2, v: 1, j: 2, d: 6, f: 1}.
4/165
Four letters picked without replacement from xxxxooxxoxxxxxxx. Give prob of picking 1 x and 3 o.
1/140
Calculate prob of picking 1 e and 2 l when three letters picked without replacement from {h: 1, l: 1, p: 2, e: 1}.
0
Two letters picked without replacement from {i: 6, m: 1, s: 2, q: 7, z: 1}. What is prob of picking 1 q and 1 s?
7/68
What is prob of picking 1 g and 2 o when three letters picked without replacement from {t: 1, g: 1, f: 1, p: 1, o: 5}?
5/42
Calculate prob of picking 1 p and 1 o when two letters picked without replacement from xxhxhoohph.
2/45
Two letters picked without replacement from ijhphaaippmmap. Give prob of picking 1 p and 1 j.
4/91
Calculate prob of picking 1 g and 1 b when two letters picked without replacement from {f: 1, g: 1, b: 1}.
1/3
Three letters picked without replacement from qkkokqooqkoqqqqq. Give prob of picking 1 o, 1 k, and 1 q.
8/35
Calculate prob of picking 1 s, 1 k, and 1 q when three letters picked without replacement from ksssqskkskkkk.
35/286
What is prob of picking 2 e and 1 o when three letters picked without replacement from feoeeffofofefeoeeeee?
3/19
What is prob of picking 2 r when two letters picked without replacement from {m: 1, r: 3, a: 3, u: 3}?
1/15
Three letters picked without replacement from syptttsystsspmssett. Give prob of picking 1 p, 1 y, and 1 e.
4/969
Four letters picked without replacement from iihihiiiiii. What is prob of picking 4 i?
21/55
Calculate prob of picking 1 e, 1 k, and 1 w when three letters picked without replacement from {e: 4, p: 1, s: 3, k: 1, w: 10}.
40/969
Two letters picked without replacement from aazaz. Give prob of picking 2 z.
1/10
Four letters picked without replacement from ptvttvaabvvsv. What is prob of picking 2 v and 2 t?
6/143
Three letters picked without replacement from {r: 2, u: 3, n: 3, s: 1, z: 1, f: 3}. Give prob of picking 2 n and 1 r.
3/143
Two letters picked without replacement from abaarrrababrrrrara. What is prob of picking 1 a and 1 r?
56/153
Calculate prob of picking 1 p and 3 m when four letters picked without replacement from {p: 4, d: 2, m: 6}.
16/99
Four letters picked without replacement from {v: 1, q: 3, n: 2, c: 3, u: 1}. Give prob of picking 1 q and 3 c.
1/70
What is prob of picking 1 r, 1 w, and 1 c when three letters picked without replacement from {w: 1, c: 2, k: 1, r: 1, i: 2, z: 1}?
1/28
Three letters picked without replacement from {j: 4, p: 2}. Give prob of picking 3 j.
1/5
Two letters picked without replacement from uff. What is prob of picking 1 f and 1 u?
2/3
What is prob of picking 1 a and 3 z when four letters picked without replacement from sazppptapzpzszpez?
1/119
Two letters picked without replacement from {w: 5}. What is prob of picking 2 w?
1
What is prob of picking 1 y and 1 u when two letters picked without replacement from yuuz?
1/3
Calculate prob of picking 3 r when three letters picked without replacement from {d: 3, r: 3, y: 1}.
1/35
Four letters picked without replacement from mmmmbcymcmmnyhm. What is prob of picking 1 n, 1 h, and 2 y?
1/1365
Calculate prob of picking 1 v and 3 q when four letters picked without replacement from qgnngnvngnqgqnqgqqg.
5/969
Calculate prob of picking 2 l and 1 h when three letters picked without replacement from qhcchcccdcccccllccch.
1/380
Two letters picked without replacement from bqub. What is prob of picking 2 b?
1/6
Calculate prob of picking 1 v, 1 h, and 1 b when three letters picked without replacement from bbfohjhv.
1/14
What is prob of picking 2 c when two letters picked without replacement from {g: 4, x: 2, c: 3}?
1/12
Two letters picked without replacement from veevwuevvvjvyvevyjwj. Give prob of picking 1 u and 1 v.
4/95
Two letters picked without replacement from {w: 3, a: 11}. What is prob of picking 2 w?
3/91
Three letters picked without replacement from {j: 4, q: 5, w: 2}. Give prob of picking 3 q.
2/33
Two letters picked without replacement from wwwwwyxwjjewjyje.
|
{
"pile_set_name": "DM Mathematics"
}
|
67. Let m be k(a). Solve 0 = 11*h - m + 51 for h.
-4
Let d be (-8)/(5 - 1) - -4 - -173. Let p = 195 - d. Solve -4*n + p = -8*n for n.
-5
Let v(x) = -x**3 - 10*x**2 + 10*x + 2. Let s be v(-10). Let n be (-4)/14 - 714/s. Let h be -5*(1 + n/(-5)). Solve 0 = -h*p + p for p.
0
Suppose 196*m + 3 = -4*s + 199*m, 5*s - 3*m + 3 = 0. Solve -455*r + 456*r = s for r.
0
Let b be -11 + ((-75)/(-5) - -1). Suppose -2*v + 66 = n, -2*v = 6*n - 3*n - 62. Let f = v + -20. Solve -f = -b*h + 11 for h.
5
Let y(i) = i - 3. Let t be y(7). Let l(f) = -f**2 + 34*f - 205. Let o be l(26). Suppose t*r - 5 = o. Solve -4*k = -r*k for k.
0
Let k be 12/9 + (-16)/(-6). Suppose 0 = 3*h + 2*h - 2*u - 26, 4*h = -4*u + k. Solve 5*v - 4*v + h = 0 for v.
-4
Suppose 5*r = -q + 1124 - 243, 3*r = 2*q + 526. Solve -38*c + 60*c + r = 0 for c.
-8
Let x be (0*(63/(-36))/(-7))/4. Solve -3*f + 16 - 4 = x for f.
4
Suppose 41*b - 18 = 39*b. Let m be b/(-24) - 670/(-80). Solve -m*r - 20 = -4*r for r.
-5
Let p = 20248 + -20200. Solve 34*h - 42 = p*h for h.
-3
Let r(l) be the first derivative of l**4/4 + l**2 - 6*l + 1. Let b(x) = 3*x**3 + 17*x**2 - 18*x. Let f be b(1). Let u be r(f). Solve -u*k + 2*k + 4 = 0 for k.
1
Suppose 4 = -2*d, -2*x - 21 = 2*d + 211. Let a = -113 - x. Solve -s = -a - 3 for s.
4
Suppose 17*n + 672 = 65*n. Suppose -17*x + 13 = -d - n*x, 2*d - 14 = -2*x. Solve 9*c - 7*c = d for c.
1
Let b be (-5 - (-2)/2)/((-356)/979). Solve 17*i - 23 = b for i.
2
Let v(z) = -9*z - 141. Let y be v(-14). Let d(b) = b**3 + 15*b**2 - 2*b - 14. Let u be d(y). Solve -19 = 3*n - u for n.
-1
Suppose -17*b = -11*b - 168. Suppose 52 = 3*p + b. Suppose 4*w = 2*t - 38, 4*t - p = -5*w + 3. Solve -3*s + 6*s + t = 0 for s.
-3
Suppose 21*q = 121*q - 6900. Solve -q = h - 72 for h.
3
Let v be (-4 + 1)/(2 - 20/12). Let o be 56 + 3 + v + 4 - 3. Solve 12*d = o + 9 for d.
5
Let q = 723 - 717. Suppose -9*r = -20 - 61. Solve -7*l - q = -r*l for l.
3
Let s = 13000 + -12976. Solve 5*t - s = -4 for t.
4
Let y be (-2)/(12/(-5)) - (-2300)/552. Suppose -1 = g, -y*r + 6*r = -4*g. Solve 0 = -r*c - 4*c for c.
0
Suppose 2*w + 26 = 30. Let z = -21 + 23. Solve z*v + 4 = -w*v for v.
-1
Suppose -4*f + 31 = -105. Solve -f*x = -30*x - 16 for x.
4
Let w be 597/7 + (2 - 80/35). Let t = 95 - w. Let f be ((-1)/2)/(1/(-4)). Solve 0*n = -f*n + t for n.
5
Let x = 34 + -30. Let f be (1/x)/((-5)/(-20)). Suppose 5*b = -h + 4, 4*b = -h + 3 + f. Solve i + 6 - 1 = b for i.
-5
Let t(r) = r**3 + 4*r**2 + 20*r + 80. Let i be t(-4). Let g(w) = -7*w - 9. Let v be g(-5). Let a = v + -23. Solve i = a*f - 6 for f.
2
Let z = 37 + -35. Let a be 6/z + 140/14 + -5. Suppose 0 = 2*v + 5*y - 20, 3*v + y + 20 = 6*y. Solve v = 6*s - 2*s + a for s.
-2
Let c = 491 + -110. Let m = 389 - c. Solve -13*v = -m*v - 10 for v.
2
Suppose -686*b - 11730 = -755*b. Solve 3*c = 37*c + b for c.
-5
Suppose -7*h + 145 = 103. Suppose -h*n = -i - 9*n - 10, -3*i - 2*n + 5 = 0. Solve 0 = -6*t + i*t + 1 for t.
1
Let o(i) = 2*i**2 - 11*i - 14. Let b(c) = c**2 - 6*c - 7. Let d(q) = 9*b(q) - 4*o(q). Let y be d(11). Solve y = n + 7 for n.
-3
Let f(k) be the second derivative of k**3/6 + 5*k**2 + k. Let n be f(-6). Let x be 190/114 - 4/(-3). Solve -x = 3*m - n*m for m.
3
Let c(t) = t**3 - 3*t + 24. Let i be c(0). Solve -3*z = -15*z + i for z.
2
Let w be ((-36)/(-132))/(-3) - (3 - 1618/11). Solve 77*g = 95*g + w for g.
-8
Suppose 5*p + 3*c = 12, 4*p + c = 6*c + 17. Let q be 36/(-4)*1/p. Let t = q - -15. Solve z - t = 4*z for z.
-4
Suppose 5*q - 165 = 3*o + 74, q - 39 = 5*o. Suppose 8*y - q - 23 = 0. Solve -y*a + 8*a = 0 for a.
0
Let z be (8 + -6)/(1 + 0). Suppose 8*a - z = 7*a. Let m be a/(-4) - (-45)/18. Solve m = 4*x + 6 for x.
-1
Let n be ((-14)/(-8) - 2) + (-26106)/(-456). Solve 0 = -6*a + 81 - n for a.
4
Let l be (-4)/(-18)*(1 - 25)*(-54 + 51). Solve l*a + 10 = -6 for a.
-1
Let a be 0*1*1/(-2). Suppose -44*u + 46*u - 8 = 0. Suppose -u*d = -0*d - 32. Solve a*m = -4*m + d for m.
2
Suppose 21*p - 11*p = -60. Let n(l) = -l**3 - 6*l**2 - 10*l - 41. Let s be n(p). Solve s*g - 15 = 22*g for g.
-5
Suppose -12*v + 10*v - 440 = 0. Let r be v/(-4) - -4 - 3. Suppose -r = -3*t - 4*t. Solve -5*c = -t - 7 for c.
3
Let u = -343 + 336. Let k(r) = r**3 + 7*r**2 + r + 13. Let c be k(u). Solve 0 = 2*t + 8 - c for t.
-1
Let c(o) = -2*o**2 - 13*o - 1. Let r be c(-6). Suppose 1 - r = -2*k. Let d be ((-16)/(-32))/(1/48*k). Solve 3*z = -0*z + d for z.
4
Suppose -4*p + 2178 = -5*o, -58*p + 1629 = -55*p - 3*o. Solve -9*s + p = 600 for s.
-7
Suppose 17*f - 12 = 11*f. Suppose -b - f*v - 10 = v, -2*b = 4*v + 10. Solve -b*h + 26 = 1 for h.
5
Suppose -40*g = -47*g + 14861. Suppose 0 = -3*z + 2135 - g. Solve -r = -9 + z for r.
5
Let m(o) = o - 10. Let b be m(16). Suppose 0 = 12*f - 13*f + 3. Suppose 0 = -5*j + f*j + b. Solve j = -t + 1 for t.
-2
Suppose -6*x - 20*x = -78. Suppose -10 = -x*y + t - 5, -15 = 4*y + 3*t. Solve 0 = n - y for n.
0
Let j be 255875/6325 - (-2 + (-48)/(-33)). Solve 196 = j*k + 57*k for k.
2
Let m(o) = -o**3 - 4*o**2 - o. Let q be m(-4). Let j = 4372 - 4369. Solve -q*g + 1 = -j for g.
1
Suppose 10976 = -272*p + 29492 + 9228. Solve -p*n + 128 = -86*n for n.
8
Let x(a) = -14*a - 26. Let v be x(-3). Suppose 8*i - v = -0*i. Solve 0*d + d + i = 0 for d.
-2
Let g(j) = j**3 + 7*j**2 - 26*j - 186. Let r be g(-6). Solve 8*q - r = 7*q for q.
6
Suppose 0 = 9*f - 0*f - 54. Suppose -3*u + 3 = -f*u. Let r be (u - 56/(-6)) + (-1)/3. Solve 0 + r = 4*x for x.
2
Suppose -9 = -3*o + 6*o, 0 = 5*g - o + 7. Let t be (((-4)/6)/g)/(7/84). Solve t*u + 6 = 14 for u.
2
Let c = -4049 + 4040. Let m = 28 + -41. Let q = c - m. Solve q*j = 5*j + 1 for j.
-1
Let l = 1389 - 1307. Solve -80 = -18*o + l for o.
9
Suppose -8 = -43*k + 774 + 121. Solve 92 = -k*m + 8 for m.
-4
Let z(u) = 16*u - 189. Let i be z(-14). Let a = i + 435. Solve 7*q = -a + 57 for q.
5
Let s be 3 + 819/33 + 2/11. Let d = 29 - s. Solve -4*q = d + 11 for q.
-3
Let m be (-465)/(-62)*(1 + -1 - -10). Suppose 5*d + v = m, 0 = 2*d - d + 4*v - 34. Solve -8*i + d = -i for i.
2
Let i(w) = -w**3 - 29*w**2 - 56*w - 33. Let f be i(-27). Solve 0 = -16*c - f*c for c.
0
Suppose 11*p + 24 = 156. Solve 15 = 9*s - p for s.
3
Let y be (-380)/(-1615) + 1828/34. Solve 0 = -97*w + y*w - 43 for w.
-1
Let v = 19 - 13. Let s = 5 - v. Let w be (-2 - -2)/(s + (-12)/(-4)). Solve -n - 4*n = w for n.
0
Suppose 6*t - 4*t + 358 - 2416 = 0. Solve -1038*g = -t*g + 54 for g.
-6
Let v(j) = j**2 - 93*j + 1058. Let b be v(13). Solve b = 20*q - 82 for q.
5
Let s(u) be the first derivative of u**3/3 - 9*u**2 - 4*u - 7. Let m be s(19). Suppose -7*a + m = -13. Solve -3*l - l = -a for l.
1
Let x(n) = n**3 - 6*n**2 + 7*n + 7. Let v be 3 + 4 + -7 - (-1 - 3). Let p be x(v). Let m(i) = -2*i**2 + 8*i - 4. Let y be m(p). Solve -14 = -y*h - 4 for h.
5
Let f(t) = t**2 + 9*t + 16. Let k be f(-8). Suppose i = 0, -4*a + i = -k*a + 84. Solve 0 = -5*g + 4 + a for g.
5
Suppose 167 - 167 = -20*w. Solve w = -0*h + h + 7*h for h.
0
Suppose 0 = -2*x + 38 + 68. Let p = x - 34. Let j(z) = -2*z + 38. Let a be j(p). Solve -y + 2*y = a for y.
0
Let p(u) = 2*u**2 - 94*u - 292. Let t be p(-3). Solve -32 = -t*k + 16 for k.
6
Let j be 782/(-459)*-48 + (-8)/(-36). Solve 0 = -66*b + j*b + 80 for b.
-5
Let m be (12 + (-300)/10)*2/(-9). Solve -25*z - m - 146 = 0 for z.
-6
Let m(k) be the second derivative of -k**4/12 + 2*k**3/3 + 191*k. Let g = 1 - -2. Let y be m(g). Solve -7*z + y*z = 4 for z.
-1
Let s(v) = v + 15. Let t be s(-5). Suppose 0 = 5*u + w - 33, -4*u + 2*w = t - 28. Solve u = 2*j - 4*j for j.
-3
Suppose 3*y = -y + 64. Let h = -35 + 40. Suppose w + w - 12 = g, 19 = h*w + 3*g. Solve -a + y = -w*a for a.
-4
Let k(v) = 113*v - 673. Let a be k(6). Let f(d) = -2*d + 22. Suppose -5*g = -48 + 3. Let z be f(g). Solve z*h = a*h for h.
0
Let y = 165 + -165. Suppose y = -8*u - 8 + 48. Solve -u + 3 = -t for t.
2
Let w = 1302 - 1296. Solve -8*i - w = -46 for i.
5
Let a(u) = -2*u**2 + 10*u + 6. Let n be a(5). Let l be (2 + 0)*9/n. Suppose l*f + 0*f - 3 = 0. Solve -3*i + 2 + f = 0 for i.
1
Let y(x) = 6*x**2 + 52*x + 86. Let z be y(-2). Solve z*n = 57*n - 306 for n.
6
Let m(x) = 3*x - 5. Let a be m(4). Suppose 6*u - 23 = a. Suppose -u*r = -2*t + 26 + 2, 5*r + 40 = 5*t. Solve -o = o + t for o.
-2
Let d = 1830 + -1830. Solve -34*y
|
{
"pile_set_name": "DM Mathematics"
}
|
t, z, -0.1?
-0.1
Let n = 58 - 58. Suppose 0 = -f + 5*z - 28, -5*f - z = 2 + 8. Let o be 10/f*(-3)/5. Which is the closest to n? (a) o (b) 6 (c) 3
a
Let u be -28*(-204)/(-432) - -13. What is the nearest to 3/25 in -23, 2/11, 0, u?
2/11
Let p = -12905/42 - -1843/6. Let i = -0.85 - -0.15. What is the nearest to -0.1 in p, 2, i?
p
Let i = -126744/7 - -18106. What is the nearest to -1/25 in i, -2, 5, -5/4?
i
Let f = -16.96508 + -0.03492. Which is the closest to f? (a) -2/3 (b) 1 (c) -2/19
a
Let z = -2.033 + 1.633. Let u = 0.02 + -6.02. Let b = u + 5. What is the closest to z in -1/7, b, 5?
-1/7
Let u = -1770.2 - -1373. Let m = u - -397. Which is the closest to -5? (a) m (b) 4 (c) -3/4
c
Let i = -65.48 + 54.48. What is the closest to -1/2 in -15/2, 0.4, 3, i?
0.4
Let p = -6.449 + 6.649. What is the nearest to 0 in -2/9, p, -11, -1.8?
p
Let b = -3637/7270 + 1/3635. What is the closest to b in -3/7, 5, -2.6, -2?
-3/7
Let s = 51 + -82. Let m be (88/(-210) - 134/(-469))/((-4)/12). Which is the nearest to -1/2? (a) 1/3 (b) s (c) m
a
Suppose -4 + 3 = o. Let t = -215.8 - -216. Let g = 4.4 - 4.9. What is the nearest to -0.1 in t, g, o?
t
Let z be ((-75)/(-2) + -3)*304/54. Let n = z - 194. Which is the nearest to n? (a) -1/5 (b) 0.2 (c) -0.08
b
Let h be 40/(-22) + 6/(-6) + 3. Let o be ((-204)/918)/(2/3). Let j = 3 + -3. Which is the nearest to j? (a) o (b) h (c) -0.4
b
Suppose -10*z + 52 - 2 = 0. Which is the nearest to -46? (a) z (b) 2/3 (c) -2
c
Let z = 0.174 + -0.05. Let y = -0.224 + z. Which is the closest to y? (a) -2/19 (b) -10 (c) 5
a
Let i = -351 - -347. Let h = 4.5 - -5. Let y = h - 10. Which is the closest to 1? (a) -2/13 (b) i (c) y
a
Suppose 4 = 2*w - 14*y + 19*y, -6*w + y = -12. What is the closest to w in -2/7, 0.1, -11, 3?
3
Let x be (4/10)/1 - (-60)/(-375)*-35. Which is the closest to x? (a) -5 (b) -1 (c) -1/18
c
Suppose 8*c + 18 = 4*l + 6*c, -3*l = -4*c - 26. Suppose z - l*j = 6*z + 5, 0 = z + 5*j + 24. Suppose -3 - z = 2*o. What is the closest to 6/7 in 1, o, 0.5?
1
Let g = -0.1 + -0.9. Let l = -7.291 + 8.291. Let i = g - l. What is the nearest to -2/3 in i, -2/3, -3/2?
-2/3
Let q = 102 - 98. Let a be (-20)/(-60)*(-6)/q. Suppose -12*n + 15*n + 3 = 0. What is the closest to a in -3, n, -2?
n
Let u = 0.0828 - 0.0828. Let b = 1.11 + -0.21. Let w = b - 1. What is the closest to u in 0.2, w, 2/9?
w
Let l = 354 + -496. Let t = l + 127. What is the nearest to 2/7 in t, 0.1, -5?
0.1
Let x = 142/3 - 46. Suppose -3*v = 6*v. Let p = 247 - 5185/21. What is the nearest to x in v, -0.2, p?
p
Let l = -304.1 - -304.2. What is the nearest to 6 in -1, 0.9, l?
0.9
Let m = 3088/7501 - 60/577. What is the nearest to 0.2 in 3/13, -2/7, m?
3/13
Let j = -196265/7 - -28038. Let d = -0.04 + -3.96. What is the closest to 4/13 in d, -2, j?
j
Let v = -11 + 11.2. Suppose -5 = -215*n + 220*n. What is the nearest to -6 in v, 3, n?
n
Let r = 14 - 29/2. Let q = -0.29005 + 0.23005. What is the closest to -2 in r, q, 5, -3?
-3
Let y = 1630 + -1635. Let s = -4 - -6. Suppose 0 = -5*m + 4*g - 24, 0 = 2*m - 5*m - 3*g - 9. What is the nearest to 1/4 in s, y, m?
s
Let g = -0.1 + 0.2. Let n = -1951/3948 - -75/188. Which is the nearest to g? (a) 1 (b) n (c) 14
b
Let u = -12.12052 + 0.22052. What is the closest to 0.4 in 1, -3, u?
1
Suppose 5*a - 1953 = -153. Let x be 5 + 0 + (-1692)/a. What is the nearest to x in -5, 0, 1/3?
1/3
Let t = 1 + 0. Suppose m - 2*j - 5 = 0, -j - 4*j = -3*m + 10. Let c = 45725/8 - 5716. What is the closest to t in -0.4, c, m?
c
Let z = 12487/21840 - 1/3120. Which is the nearest to -54? (a) z (b) -2/11 (c) -4
c
Let x = 265 + -119. Let b = x - 152.7. Let a = 1.7 + b. What is the nearest to 3/5 in 5, -3, a?
-3
Let k = -1765 - -1760. Which is the nearest to 1/4928? (a) 5 (b) k (c) 2/11
c
Let x = -112 + 112.106. Let g = 0.206 - x. Let d = 3.8 + -0.8. What is the nearest to g in -10, d, -2?
-2
Let l = -1175649 + 204564413/174. Let m = 4/87 - l. Let q = -37/4 - m. Which is the closest to 0.1? (a) -5 (b) -1/3 (c) q
b
Suppose 8*j - 9*j + 7 = 0. Suppose -10*x = -17*x + j. Suppose 4*z - 59 = -h, -2*h - x = -z - 5*h. Which is the nearest to -0.1? (a) z (b) 1/4 (c) -2/11
c
Let j = -59.57 - 0.43. Let v = j + 60.2. Let h = -0.274 - 0.126. What is the closest to -1 in v, h, 2?
h
Let h(z) = 10*z - 139. Let t be h(14). Let p be 6/8 + t - (-3)/(-4). Which is the nearest to -0.4? (a) p (b) -2/3 (c) 2
b
Let f = 2.7 + -0.7. Let h be (84/(-210))/((-12)/(-15)*2). Which is the nearest to h? (a) -1 (b) 0.01 (c) f
b
Suppose -r = -6 - 6. Let g(v) = -v**3 - 12*v**2 - 34*v - 11. Let h be g(-8). Suppose a - r = -h*a. What is the closest to 0 in 4, a, 2/5?
2/5
Let y = -0.117 + 0.327. Let d = 4.79 + y. Suppose 0 = c - 2*c. What is the nearest to c in 4, d, -1/2?
-1/2
Let m = -3.4 + 0.4. Let s = 14/835 + 988/835. What is the nearest to 2/3 in -1, s, m?
s
Let z = 38989.7 + -38990. Which is the nearest to 3/4? (a) 0.6 (b) z (c) 2/7
a
Let z = -101528 - -101526. Let o = 4.4 + -5. Let s = -3 - -1. What is the nearest to z in -1/8, s, o?
s
Let p(o) be the first derivative of o**4/2 + 2*o**3/3 - o**2 + 3*o - 237. Let m be p(-2). Which is the closest to -3/7? (a) 2/9 (b) m (c) -2
b
Let z be 56/(-126)*(-9)/(-210). Which is the nearest to z? (a) 1 (b) 0.5 (c) 0
c
Let g = -8 + 5. Let d = -4420/6061 - -502/551. Which is the nearest to 3? (a) -4 (b) g (c) d
c
Let r = 0.39 + 0.01. Let f(y) = -y + 12. Let n be f(11). Let k = 17.516 + -17.616. Which is the closest to n? (a) r (b) -0.4 (c) k
a
Let r = 6839.7 - 6840. Which is the nearest to 0.7? (a) -11 (b) -0.4 (c) r (d) 0.3
d
Let u = -18871.9 - -18872. Which is the nearest to -1/4? (a) -99 (b) 0.03 (c) -3/8 (d) u
c
Let a = 402 - 2820/7. Let p = 641.8229 + 0.0771. Let b = -642 + p. What is the nearest to -1/2 in a, 2, b?
a
Let d = -89 - -88.8. Suppose 0 = 2*y + 5*v - 0*v + 27, -20 = 4*v. Suppose -210 = -635*a + 593*a. What is the nearest to y in -0.4, d, a?
-0.4
Let k = -0.31 - -0.11. Let j be (16/(-16))/(3/(-5)). Suppose -5*r = -4*u + 8, -4*u + r = u - 10. What is the closest to u in 4, j, k?
j
Let j = 38931 - 40156. What is the nearest to 1 in 0.03, j, 1?
1
Let c = 83.5132 - 1.5132. What is the closest to -2 in 0.5, c, -2/5?
-2/5
Let o = -18 + 21. Suppose -b = 2*v, -b + 5 + 0 = -o*v. Suppose -2*x + 2*s = 6, -x - 4 = -2*s + b. What is the nearest to x in 1, 0.14, -4?
0.14
Let x = -40087/5 + 8017. Which is the closest to 1.4? (a) -1/6 (b) 0.4 (c) -1/3 (d) x
b
Let g(n) = 2*n**3 + 14*n**2 + 15*n + 12. Let r be g(-6). Let d = -38 - -57. Let s be d/(-10) + (r/10 - -1). What is the closest to -0.1 in s, 5, -2/9?
-2/9
Let x = 247.0396 - 0.0396. Let f = 246.9 - x. What is the closest to 4 in 6, f, 4?
4
Let y = 232 + -227. Let w = 579/7 + -1730/21. Let z = 1 + -1.1. What is the closest to w in -2/3, y, z?
z
Let i = -4.11 + 0.11. Let s = -48 + 48.01. Let l = s + -0.51. Which is the nearest to 0.1? (a) 0.3 (b) i (c) l
a
Let q = -249/4 + 62. Let n = 0.20736 + -5.20736. What is the nearest to -13/3 in n, q, -4?
-4
Let l = 2563 + -2563.4. What is the closest to 0.1 in l, -1/3, -2/3, -0.07?
-0.07
Let w = 2.2 + -1.8. Which is the closest to 0.2? (a) w (b) 2 (c) 2.4
a
Suppose 2*m = -4*p - 20, p - 4 = 2*p. Let n = 0.0691 + 3.9309. Let t = -3 - 0. Which is the nearest to -1/3? (a) n (b) t (c) m
c
Let w = 28.9 - 32. Let f = -3 - w. Let g = -9916 - -9916. Which is the nearest to -3? (a) -2/15 (b) g (c) f
a
Let v = 1341.1 - 1342.1. Which is the nearest to -0.1471? (a) v (b) 2 (c) -2/9
c
Let x(h) = -h**3 - 55*h**2 + 3*h + 217. Let l be x(-55). Which is the nearest to -11? (a) l (b) -0.1 (c) -1
c
Let i = 119.55 - 116.55. What is the nearest to 0.06 in -0.5, -0.055, i, -0.3?
-0.055
Let r = -1.828 + 121.928. Let j = 119.16 + 0.84. Let v = r - j. Which is the closest to v? (a) 1 (b) -3 (c) 0.3
c
Let x = 49/2 - 24. Let m = -579.76 - -579.66. Which is the nearest to x? (a) m (b) 0.035 (c) 1/3
c
Let v = -22595 - -3185789/141. Let n = v - -4/47. What is the closest to n in 0.1, 2/9, -5?
0.1
Let h = 13.761 - 13.661. Let x = 1/18 - -13/90. What is the closest to h in x, 2, -4?
x
Let h be 3/(-14)*-14*2/(-1). Which is the nearest to h? (a) -0.3 (b) -1 (c) -0.07 (d) -0.2
b
Let z =
|
{
"pile_set_name": "DM Mathematics"
}
|
divided by 166.
58
What is the remainder when 534147 is divided by 75?
72
What is the remainder when 629 is divided by 625?
4
Calculate the remainder when 5548 is divided by 297.
202
What is the remainder when 10555 is divided by 3240?
835
Calculate the remainder when 100670 is divided by 8.
6
Calculate the remainder when 1294598 is divided by 13.
6
Calculate the remainder when 794924 is divided by 75.
74
What is the remainder when 21969 is divided by 21958?
11
What is the remainder when 128567 is divided by 56?
47
What is the remainder when 339018 is divided by 1012?
1010
What is the remainder when 9871 is divided by 580?
11
Calculate the remainder when 57685 is divided by 222.
187
What is the remainder when 2114 is divided by 15?
14
What is the remainder when 348782 is divided by 69753?
17
What is the remainder when 5879 is divided by 14?
13
Calculate the remainder when 4998 is divided by 4722.
276
What is the remainder when 5435 is divided by 1461?
1052
Calculate the remainder when 496 is divided by 103.
84
What is the remainder when 34686 is divided by 609?
582
Calculate the remainder when 54279 is divided by 59.
58
What is the remainder when 5225 is divided by 1735?
20
What is the remainder when 37399 is divided by 374?
373
Calculate the remainder when 16365 is divided by 129.
111
Calculate the remainder when 3948 is divided by 298.
74
What is the remainder when 3527 is divided by 1702?
123
Calculate the remainder when 5231214 is divided by 2095.
2094
Calculate the remainder when 12813 is divided by 6404.
5
Calculate the remainder when 3894 is divided by 322.
30
What is the remainder when 29938 is divided by 64?
50
What is the remainder when 526 is divided by 179?
168
What is the remainder when 5579 is divided by 30?
29
Calculate the remainder when 2094 is divided by 1937.
157
What is the remainder when 16907 is divided by 60?
47
What is the remainder when 7833 is divided by 224?
217
Calculate the remainder when 251130 is divided by 39.
9
What is the remainder when 1286 is divided by 127?
16
What is the remainder when 377279 is divided by 82?
79
Calculate the remainder when 335992 is divided by 55997.
10
What is the remainder when 8103 is divided by 405?
3
What is the remainder when 45934 is divided by 6562?
0
What is the remainder when 17040 is divided by 13?
10
Calculate the remainder when 790243 is divided by 15.
13
What is the remainder when 87230 is divided by 79?
14
What is the remainder when 106341 is divided by 8?
5
What is the remainder when 12367 is divided by 6175?
17
Calculate the remainder when 204037 is divided by 50992.
69
What is the remainder when 12607 is divided by 12492?
115
Calculate the remainder when 23331 is divided by 753.
741
What is the remainder when 97324 is divided by 1232?
1228
Calculate the remainder when 40798 is divided by 67.
62
Calculate the remainder when 6145 is divided by 836.
293
What is the remainder when 121759 is divided by 60874?
11
What is the remainder when 29453 is divided by 10?
3
What is the remainder when 3585 is divided by 45?
30
Calculate the remainder when 3446 is divided by 32.
22
Calculate the remainder when 15686 is divided by 21.
20
What is the remainder when 6288 is divided by 126?
114
What is the remainder when 5669 is divided by 172?
165
What is the remainder when 2849900 is divided by 7?
4
What is the remainder when 20511 is divided by 25?
11
Calculate the remainder when 224752 is divided by 322.
318
What is the remainder when 679388 is divided by 43?
31
What is the remainder when 183525 is divided by 22939?
13
Calculate the remainder when 32686 is divided by 27.
16
What is the remainder when 679 is divided by 608?
71
What is the remainder when 1745819 is divided by 869?
867
What is the remainder when 2771 is divided by 82?
65
What is the remainder when 51288 is divided by 10256?
8
Calculate the remainder when 67445 is divided by 878.
717
Calculate the remainder when 8587 is divided by 4250.
87
What is the remainder when 102915 is divided by 25706?
91
What is the remainder when 135234 is divided by 19?
11
What is the remainder when 1318 is divided by 1268?
50
Calculate the remainder when 133431 is divided by 18.
15
What is the remainder when 230027 is divided by 9?
5
Calculate the remainder when 48900 is divided by 627.
621
Calculate the remainder when 53891 is divided by 2566.
5
Calculate the remainder when 360669 is divided by 208.
205
Calculate the remainder when 645451 is divided by 773.
769
What is the remainder when 7962 is divided by 795?
12
What is the remainder when 18147 is divided by 55?
52
What is the remainder when 18220 is divided by 160?
140
Calculate the remainder when 14644 is divided by 603.
172
Calculate the remainder when 6606 is divided by 15.
6
What is the remainder when 5801 is divided by 967?
966
What is the remainder when 3157 is divided by 10?
7
What is the remainder when 15122 is divided by 27?
2
Calculate the remainder when 1325791 is divided by 19.
9
Calculate the remainder when 8189 is divided by 10.
9
What is the remainder when 816814 is divided by 462?
460
Calculate the remainder when 236991 is divided by 6.
3
Calculate the remainder when 45563 is divided by 186.
179
What is the remainder when 304977 is divided by 367?
0
What is the remainder when 925168 is divided by 377?
10
Calculate the remainder when 384243 is divided by 492.
483
Calculate the remainder when 94176 is divided by 217.
215
Calculate the remainder when 7854 is divided by 23.
11
Calculate the remainder when 7951 is divided by 102.
97
What is the remainder when 363533 is divided by 121160?
53
What is the remainder when 841785 is divided by 293?
289
What is the remainder when 6258 is divided by 702?
642
What is the remainder when 80554 is divided by 848?
842
What is the remainder when 37482 is divided by 2675?
32
What is the remainder when 1986 is divided by 36?
6
What is the remainder when 4466 is divided by 444?
26
What is the remainder when 2479 is divided by 179?
152
Calculate the remainder when 7638 is divided by 1496.
158
What is the remainder when 692745 is divided by 46?
31
What is the remainder when 28159 is divided by 5612?
99
What is the remainder when 1027 is divided by 455?
117
Calculate the remainder when 1046 is divided by 30.
26
Calculate the remainder when 13204 is divided by 61.
28
What is the remainder when 2387568 is divided by 22?
18
Calculate the remainder when 116930 is divided by 23.
21
Calculate the remainder when 1972 is divided by 1769.
203
What is the remainder when 2833 is divided by 1306?
221
Calculate the remainder when 13275 is divided by 2654.
5
What is the remainder when 2693 is divided by 180?
173
Calculate the remainder when 119733 is divided by 119729.
4
Calculate the remainder when 813 is divided by 78.
33
Calculate the remainder when 6655 is divided by 824.
63
Calculate the remainder when 15984 is divided by 5218.
330
What is the remainder when 4357 is divided by 533?
93
Calculate the remainder when 3343 is divided by 195.
28
What is the remainder when 464 is divided by 62?
30
What is the remainder when 7283 is divided by 820?
723
Calculate the remainder when 3431 is divided by 497.
449
What is the remainder when 257 is divided by 58?
25
Calculate the remainder when 173122 is divided by 152.
146
What is the remainder when 688 is divided by 171?
4
Calculate the remainder when 756 is divided by 173.
64
What is the remainder when 13220 is divided by 745?
555
What is the remainder when 2972 is divided by 32?
28
What is the remainder when 233652 is divided by 817?
807
Calculate the remainder when 962 is divided by 107.
106
What is the remainder when 593 is divided by 314?
279
Calculate the remainder when 126186 is divided by 67.
25
What is the remainder when 19199 is divided by 237?
2
What is the remainder when 1124 is divided by 337?
113
Calculate the remainder when 74381 is divided by 77.
76
Calculate the remainder when 27542 is divided by 63.
11
Calculate the remainder when 10646 is divided by 674.
536
Calculate the remainder when 2482725 is divided by 141.
138
Calculate the remainder when 3190 is divided by 637.
5
Calculate the remainder when 115 is divided by 37.
4
What is the remainder when 9398 is divided by 4681?
36
What is the remainde
|
{
"pile_set_name": "DM Mathematics"
}
|
et r(u) = u**3 - 10*u**2 - 38*u + 305. What is the remainder when 60 is divided by r(11)?
4
Suppose x = -2*q - 28, x + 116 = -3*x - 4*q. Let j = -26 - x. Suppose -j*z + 84 = 24. Calculate the remainder when z is divided by 6.
3
Suppose -12*w + 17*w = -4*u + 478, 4*w - 5*u - 407 = 0. Calculate the remainder when w is divided by 48.
2
Calculate the remainder when 1512 is divided by (5 - 12) + (-32)/(1*4/(-22)).
160
Suppose 162 - 3713 - 5171 = -49*h. Suppose 0 = 2*g - 2, 3*c = 4*c + 5*g - 20. What is the remainder when h is divided by c?
13
Let h(q) = -510*q - 755. What is the remainder when h(-4) is divided by 43?
38
Let c = -24 - -46. Suppose -m - 107 = -5*a + 3*m, -m = -a + c. Suppose 45959 = -3827*s + 1609*s + 250015. What is the remainder when s is divided by a?
16
Let h = 8316 - 8305. What is the remainder when (-4)/(-3)*3*7 is divided by h?
6
Suppose 4*g - 4 = 3*g. Suppose -45 = -5*k + g*k. Suppose 558 - 753 = -15*u. Calculate the remainder when k is divided by u.
6
Let f(s) = -s**3 + 6*s**2 - 6*s + 7. Let g(c) = 10*c**2 + 50*c. Let p be g(-5). What is the remainder when p*(-1)/(-4) - (-35)/7 is divided by f(5)?
1
Suppose 4*c + 15029 = 16209. Calculate the remainder when 676 is divided by c.
86
Let i = 200 + -118. Calculate the remainder when i is divided by (759/(-828) + 2/12)*-40.
22
Let s = -707 - -733. Suppose 122 = s*z - 8. Suppose 3*x + 4 = 5*x. Calculate the remainder when z is divided by x.
1
Let i(g) = 7*g + 1. Let o be i(2). Let k = -2535 + 2564. What is the remainder when 1239/o + 15/(-25) is divided by k?
24
Let i = -2587 - -2634. Calculate the remainder when 91 is divided by i.
44
Let l be ((-65)/(-4))/5 + 20/(-16). Let m(a) = 3*a**2 - 1. Suppose -u = 3*u + 4*k - 216, -5*u - 3*k + 268 = 0. What is the remainder when u is divided by m(l)?
9
Let w = 3778 - 3687. What is the remainder when 817 is divided by w?
89
Let h = -314 + 350. Let i(p) = -76*p**3 - p**2 - p. What is the remainder when i(-1) is divided by h?
4
Let t = -1546 + 1557. Let q = -28 + 12. Let i = q - -46. Calculate the remainder when i is divided by t.
8
Suppose -2*j = -2*s - 26, -s + 3 = 4. Let y(n) = 5*n + 5. Let v be 9 - 5 - 1*-2. Calculate the remainder when y(v) is divided by j.
11
Let m = -446 + 473. Suppose -76 = -4*i + 4. What is the remainder when i is divided by (m - 25) + (0 - (-2 + -2))?
2
Suppose 5*n + 2433 = h, 38*n - 12165 = -5*h + 36*n. Calculate the remainder when h is divided by 24.
9
Let h(i) = 11*i**3 + 10*i**2 - 2*i + 5. Let j be (57/(-133) - (-2)/70)*-10. Calculate the remainder when h(j) is divided by 27.
24
Let y = -239 + 371. Let z = 64 + -58. What is the remainder when 43 is divided by ((-2)/(-4))/(z/y)?
10
Suppose -8*q + 4275 - 1595 = 0. Suppose 11*r - 798 = q. Let f(h) = 21*h**3 + h - 1. What is the remainder when r is divided by f(1)?
19
Let v be (159/4)/(36/48). Let o = -28 + v. Calculate the remainder when 373 is divided by o.
23
Let u be (-6)/4*-5*(-24)/(-30). Let y be 2/(-3)*(-80 + -1 + 0). Calculate the remainder when (118/6)/(u/y) is divided by 9.
6
Let z = 51 - 24. Let a = -153829 + 153908. What is the remainder when a is divided by z?
25
Suppose 4362*n = 4339*n + 2162. What is the remainder when 282 is divided by n?
0
Let a(m) = 286*m + 11235. What is the remainder when 1613 is divided by a(-39)?
74
Let j = 744 - 425. Suppose 466*g - 470*g = -80. Calculate the remainder when j is divided by g.
19
Let u = -7570 + 7557. Let j(o) = 9*o + 2*o**2 + 0 + 14 + 14*o. What is the remainder when 210 is divided by j(u)?
51
Suppose -2*j + 6 = -4*j, -3*w - 2*j + 1245 = 0. Calculate the remainder when w is divided by 148.
121
Let u(d) = 12*d + 92. Let k be u(-8). Calculate the remainder when (-96 - -130)/(-3*k/90) is divided by 16.
15
Suppose -4*w + 2*w + 22 = 0. Suppose -14*i = -3*b - w*i + 93, -2*b - 4*i + 44 = 0. What is the remainder when 73 is divided by b?
17
Let i = -6999 - -7059. Calculate the remainder when 77 is divided by i.
17
Let v(d) = -2*d + 97. Let y be v(43). Suppose -99 = -0*n - y*n. Calculate the remainder when 99 is divided by n.
0
Let r = -89 + 135. Let s = 450 - 449. Calculate the remainder when r is divided by 4 + (-2)/5*-30*s.
14
Let v = 7824 + -7582. Calculate the remainder when v is divided by 30.
2
Suppose -12*o + 16*o - 1020 = -d, 0 = -5*d - 2*o + 5064. What is the remainder when d is divided by 5?
2
Suppose 3*k - 38 = -5*h + 465, 3*h - 293 = -4*k. Calculate the remainder when h is divided by 442/12 - 19/(798/35).
31
Let r = -54 - -85. Let w = r + 5. Let u = w - 27. Calculate the remainder when 16 is divided by u.
7
Calculate the remainder when 911 is divided by 2 + (-16 - -17) + 12/((-4)/(-4)).
11
Let s = -328 + 338. Let q = 112 - 76. Suppose -2*o + 26 = -2*i - 2*i, 2*o + i - q = 0. Calculate the remainder when o is divided by s.
7
Suppose 0 = -4*l + 3*t + 38, -t + 0*t = -3*l + 26. Let m(d) be the first derivative of -d**2/2 + 17*d - 338. Calculate the remainder when 26 is divided by m(l).
8
Let l(m) = 3*m + 35. Let k be l(-9). Let o(j) = -1 + j**3 - 6*j**2 - 19*j - 4 + 4 + 5*j. What is the remainder when o(k) is divided by 6?
3
What is the remainder when ((-45732)/24)/((-1)/2) + 6 is divided by 19?
17
Suppose -39 = -5*q + 6*q. Let f = -27 - q. Let h(m) = m**2 - 5*m - 8. What is the remainder when h(f) is divided by 13?
11
Suppose 3*p - 1650 = -5*s - 2*p, -5*s = -p - 1650. Calculate the remainder when 81 is divided by (-11)/(s/24)*-35.
25
Let x(o) = -o**2 - 27*o + 58. Calculate the remainder when x(-27) is divided by 20.
18
Let o(j) = j**3 + 6*j**2 + 2*j + 3. Suppose -7*u - 10 = -5*u. Let h(l) = -l**3 - 77*l**2 - 223*l - 43. What is the remainder when h(-74) is divided by o(u)?
13
Let b(f) = -f**3 - 18*f**2 - 16*f + 40. Let r be b(-17). Suppose r*z - 138 = 21*z. What is the remainder when z is divided by (28/(-12) - -1)*-27?
33
Let w(d) be the second derivative of 11*d**3/3 - 49*d**2/2 + 14*d. Let s be w(7). What is the remainder when (-1)/((-213)/s - -2) is divided by 10?
5
Suppose 0 = 4*q + 5*r - 1038, -3*q + 2*r = -7*q + 1032. What is the remainder when q is divided by 102?
53
Suppose 350 = -h + 2*h. Suppose 0*n = -7*n + h. Suppose x - 2*x = 2*q - n, 5*q - 128 = -x. Calculate the remainder when 101 is divided by q.
23
Let a(z) = -z**2 - 9*z + 5. Let n be a(-10). Let u(d) = -d**3 - 4*d**2 + 4*d + 12. Let j = 210 - 178. What is the remainder when j is divided by u(n)?
15
Suppose -12097 = -30*k + 6983. What is the remainder when k is divided by 13?
12
Let v(y) = 4*y + 11. Let n be v(7). Let s = -29 + n. Suppose -s*l + 5*l = -175. Calculate the remainder when 101 is divided by l.
31
Suppose -378*y + 59*y = -100166. What is the remainder when y is divided by 99?
17
Let g be -1 + 3 + -5 - -40. Suppose 3*f - g = 11. Let o(d) = 12*d - 112. Calculate the remainder when o(14) is divided by f.
8
Let p be ((-105)/2)/(7*10/(-980)). Let y = -602 + p. Calculate the remainder when y is divided by 73.
60
Let k = -967 - -1040. Suppose 0 = 3*l - 4*l - 56. Let m = l + k. Calculate the remainder when m is divided by 6.
5
Let u = 23899 + 10146. Calculate the remainder when u is divided by 27.
25
Suppose p = -4*z - 0*p - 3168, 4*z = -5*p - 3184. Let d = 1284 + z. Suppose -17*r + 1275 = -d. What is the remainder when r is divided by 15?
14
Let w = 4208 + -4107. Suppose -42*x = -46*x + 140. Calculate the remainder when w is divided by x.
31
Let m(s) = 13*s**2 - 387*s - 62. Calculate the remainder when 189 is divided by m(30).
21
Let g be (-1119)/45 + 10/(-75). Let w = g - 50. Let q = 80 + w. Calculate the remainder when 18 is divided by q.
3
Suppose -32*h - 26*h = -20*h - 798. Let r(f) = f**3 - 4*f**2 + 4*f - 4. Let v be r(6). Let p = v - 11. Calculate the remainder when p is divided by h.
18
What is the remainder when 1007 is divided by (36 + -22 + -13)*-2*(-301)/2?
104
Suppose -c + 24 = 5*a, 0 = -15*a + 10*a - 20. What is the remainder when 59 is divided by c?
15
Suppose -8*q = -11*q. What is the remainder when -1*(2 + q) + 300 is divided by 60?
58
Let f be (-1 - 93)/(1/(56/(-16))). Suppose f = 25*j - 171. Calculate the remainder when 169 is divided by j.
9
Let q(h) = 5*h - 113. Let b be q(23). Suppose 3*m = b*w - 61, 3*w + 3*m + 67 = 166. Calculate the remainder when 82 is divided by w.
18
Suppose 134 = 2*m + 16. Let z = 88 - -
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 77 + 4 = -k, 0 = 5*t + 4*k - 126. Let i(w) be the first derivative of w**4/4 - 6*w**3 - w**2/2 + 24*w - 3. Give i(t).
6
Let v(u) = -11*u - 8*u**2 - 189 + 179 + 9*u**2. Calculate v(12).
2
Let y(m) = 7*m - 4. Let j(s) = 31*s - 134. Let i be j(5). Suppose -i*t = -19*t - 6. Calculate y(t).
17
Let c(i) = 35*i**2 + 9*i + 12. Let o(h) = 122*h**2 + 27*h + 37. Let f(g) = -14*c(g) + 4*o(g). Give f(-8).
-4
Suppose -39*n + 210 = -34*n. Let t be (-22)/(-8) - (-1)/4. Let l(d) = 4 + 44*d - n*d - t - 7*d**2. What is l(-1)?
-8
Suppose l + 3 = -5*f, -l = -3*f - 6 + 1. Let q(d) = -4*d**2 - 48 - 4*d**2 - 8 + 62 - 5. Determine q(l).
-31
Let r(a) be the second derivative of 7*a**3/6 - 13*a**2/2 + 489*a. What is r(-13)?
-104
Let p(n) = n**2 + 14*n + 14. Let d be p(-13). Let g(a) = 21*a**2 + 6. Let f(b) = -4*b**2 - b + 1. Let k(m) = d*g(m) + 5*f(m). Give k(6).
17
Let k(u) = -u**3 - 10*u**2 - 16*u + 8. Let r be ((-32)/3)/2*(-222)/(-148). Calculate k(r).
8
Let i(x) = -x**3 + 7*x**2 - 3*x + 16. Suppose -3*g = g + g. Suppose g = 3*m + 2*f - 23, 2*m + 36 = 7*m + f. Determine i(m).
-5
Let m(k) = -15*k - 43. Let t(j) = 5*j + 17. Let l(o) = -3*m(o) - 8*t(o). Give l(7).
28
Let y(v) = 4*v + 3*v**2 - 6*v**3 - 159 - 8*v**3 + 30*v**3 - 12*v**3 + 157. What is y(-2)?
-30
Let k(d) = 2*d**2 - 28*d + 48. Suppose 60*b + 240 = 80*b. Give k(b).
0
Let t(z) = z - 2. Let i = -3352 - -3355. Calculate t(i).
1
Let l = 178 - 167. Let s(k) = -7*k**3 - 5*k**2 + 10*k + 9. Let g(r) = 13*r**3 + 10*r**2 - 19*r - 17. Let z(b) = l*s(b) + 6*g(b). What is z(-6)?
-15
Let n = -65 - -91. Suppose l + 0 = -3*b - 6, -5*l - b = -n. Let p(z) be the second derivative of z**3/6 - z**2 + 13*z. Give p(l).
4
Let h = -84 + 94. Let l(v) = -2 - 10*v - h*v + 18*v. Determine l(2).
-6
Let r be 2/(-1)*(-12)/6. Let i(h) be the first derivative of -4/3*h**3 + 1/4*h**4 + h**2 - 48 + 0*h. Determine i(r).
8
Let w(l) be the third derivative of -168*l**2 - 7/24*l**4 + 0 + 0*l - 1/3*l**3. What is w(-4)?
26
Let i(j) be the third derivative of -j**6/120 - j**5/30 - j**4/24 + j**3 - 63*j**2 - 2*j - 9. What is i(-4)?
42
Let k(u) be the first derivative of 2*u**3/3 - 6*u**2 + 4*u + 1519. Calculate k(7).
18
Let p(w) = -w**2 + 7*w - 14. Let z(t) = t**3 - 12*t**2 + 27*t + 5. Let a be z(9). Calculate p(a).
-4
Suppose 0 = 4*i + 5*w - 3*w + 48, -27 = 5*i - 3*w. Let t(u) be the first derivative of -u**3/3 - 5*u**2 - 5*u - 25. Give t(i).
4
Let j = -143 - -148. Suppose -j*w + 4*s = 0, 0 = -6*w + 4*w - s. Let i(v) be the third derivative of -v**5/60 - v**4/24 - v**3/6 - 9*v**2. Calculate i(w).
-1
Suppose v - 2*l - 542 = 3*v, -4*l - 1354 = 5*v. Let z = 274 + v. Let t(d) = d - 1. Let k(p) = -p**2 + 9*p - 5. Let w(o) = -k(o) + 6*t(o). Calculate w(z).
3
Let g(a) = 2*a. Suppose 4*c = 3*u - 348, -4*c - 2*u + 197 = 565. Let k = 97 + c. Suppose -3*p = -p - 3*f + k, f + 15 = 5*p. Calculate g(p).
8
Let f(h) = -6*h + 4. Let o(p) = p + 9. Let z be o(-9). Let g be f(z). Let b(i) = i + 4. What is b(g)?
8
Let u(k) = k**2 + 5*k - 7. Let h(p) = p**2 - 15*p + 28. Let j be h(13). Suppose 0 = 3*w - 6, j = -i + 4*i - 2*w. What is u(i)?
7
Let i(n) = -3*n - 3. Let t be i(1). Let g(a) = -10*a**3 + a**2 - 10*a - 10. Let m be g(-1). Let s(l) = m*l - 5 + 6*l - 28*l + 10*l. Determine s(t).
1
Let l(w) = 3*w**3 - 4*w**2 + 8*w - 52. Let a(g) = -g**3 + 3*g**2 - 3*g + 16. Let v(b) = 7*a(b) + 2*l(b). Determine v(13).
-57
Let m(u) = u - 4. Let w = 98 + -101. Let x be 10/(-15)*1*w. What is m(x)?
-2
Let k(r) = -4*r**2 + 49*r - 20. Let n be (-3 - 14/(-4))*10. Suppose n*v - 10 = -55. Let b(w) = -w**2 + 12*w - 5. Let i(q) = v*b(q) + 2*k(q). Determine i(7).
-16
Let p(k) = -k - 1670. Let h(u) = 239. Let s(w) = -7*h(w) - p(w). Let b(d) = d**2 - 2*d + 3. Let m be b(3). Determine s(m).
3
Let h(j) be the second derivative of j**4/12 + 17*j**3/6 + 7*j**2/2 + 177*j. Let s(t) = -2*t**2 - 32*t - 14. Let l(z) = 5*h(z) + 3*s(z). What is l(-10)?
3
Suppose -3*a + 2 = i, -4*a = -2*a - 4*i + 8. Let u be (-2)/((-16)/(-4 + a))*-6. Suppose 51*s = 52*s - u. Let h(l) = -l**2 - l + 2. What is h(s)?
-10
Let s(o) = -6*o + 13. Let a be ((13/26)/((-1)/(-28)))/(-2). What is s(a)?
55
Suppose -19*x - 21*x = 0. Suppose -6*b - 24 = -x*b. Let w(l) = l**2 + 0*l - 2*l + 6*l - 5. Determine w(b).
-5
Let t(f) = -34*f**3 - 22*f**2 - 46*f - 32. Let i(d) = -45*d**3 - 23*d**2 - 45*d - 32. Let x(o) = 3*i(o) - 4*t(o). Determine x(-16).
16
Let x = -231 - -233. Let q(r) = -r + 8 + 1 - x. Let l be 6 - ((-2 - -3) + 0). What is q(l)?
2
Let f(q) be the third derivative of 7*q**6/30 + q**5/60 + q**4/24 - q**3/6 - q**2. Let u be ((-70)/4 - -17)*-2. Calculate f(u).
29
Let o = -388 + 382. Let z(y) = -6*y**2 - 33*y + 6. Let u be z(o). Let s(d) = 2*d + 4. Give s(u).
-20
Let k(f) = -f**3 - 2*f + 5. Let c(g) = -5*g**2 - 5*g - 11. Let a(m) = -c(m) + k(m). Determine a(6).
-2
Let g(x) be the first derivative of x**3/3 - 3*x**2 + 3*x + 4. Suppose 134*v - 34 = 132*v. Let w = 22 - v. Calculate g(w).
-2
Let g = -21532 - -21528. Let m(s) = -s**2 - 93*s - 356. Give m(g).
0
Let c be (-896)/(-14) + 5*-1. Let l(q) = -3*q + q**2 - c + 18 + 29. Calculate l(6).
6
Suppose -3*b + 15 = -12. Let g(t) = 7*t**3 - 20*t**2 + 30*t + 21. Let z(p) = 3*p**3 - 10*p**2 + 14*p + 10. Let l(k) = 2*g(k) - 5*z(k). Calculate l(b).
-17
Let c(l) = -l**2 - l + 3. Let h be 1 + ((-7)/1 - -3) - -80. Let g = 85 - h. Let r be (6 + -6 - g)*2/4. What is c(r)?
-9
Let a be ((-120)/(-100))/((-2)/(-55)) + -1. Let b be (a/4)/((-2 + 0)*1). Let u(g) = g**2 - 3*g + 4. Give u(b).
32
Let b(d) be the third derivative of d**6/180 + d**5/40 + 3*d**4/8 + 5*d**2. Let x(r) be the second derivative of b(r). Let c be (0 - 1)/(23/46). Calculate x(c).
-5
Let i(o) = -o**3 + 5*o**2 + 8*o - 4. Let t be 36/(-9)*((-3)/2 + 1). Suppose -17 = -3*s + t*r + 3, 2*s + 2*r = 10. Calculate i(s).
8
Let o(m) be the second derivative of -m**4/12 - m**3/2 - m**2 + 4306*m - 1. Let q = 1 - 2. Give o(q).
0
Let h(o) = -3*o**3 + o**2 + 2*o + 2. Let x(g) = -2354*g + 16480. Let l be x(7). Give h(l).
-14
Let s(d) = -d**3 + 5*d**2 + 4*d - 5. Let l(w) = 14 - w - 13 + 3*w + 6*w**2. Let m be l(-1). Suppose 4*z - 27 = -3*r, 0 = -4*z + z + m*r + 13. Determine s(z).
-17
Let n(s) be the third derivative of s**5/10 + 9*s**4/8 - 7*s**3/3 + 59*s**2. Let m(h) = 4*h**2 + 18*h - 9. Let u(f) = -8*m(f) + 5*n(f). Determine u(-4).
6
Let p be 1/3 - (-2)/(-6). Suppose 4*n - n + b + 21 = p, -4*b = -12. Let k(z) = 2*z + 16. Let r(o) = 1. Let v(t) = -k(t) + 10*r(t). Give v(n).
10
Let t be (8*37 - 0)/((-2)/3). Let r = t + 449. Let z(h) = -h**2 + 7*h - 4. Calculate z(r).
6
Let w(d) be the third derivative of d**6/120 + 3*d**5/20 + d**4/6 - 5*d**3/6 + 6732*d**2. Give w(-7).
65
Let f(t) = -13712 - 10*t - 2*t + 13720. Determine f(2).
-16
Suppose 477*p - 448 = 445*p. Let q(x) be the first derivative of -x**3/3 + 7*x**2 - 2*x - 1. Determine q(p).
-2
Suppose -49 = -z + 2*q, 0*q - 5*q + 169 = 3*z. Suppose 5*j + z = 93. Suppose -j + 23 = 3*d. Let i(l) = -l**2 + 4*l - 6. Calculate i(d).
-11
Suppose h - 12 = -3*s, -3 = 3*s - 3*h - h. Let x(z) = -2*z**2 + z**3 - s*z**2 - 3*z**2 - 7 + z**2. Determine x(6).
-43
Let b(t) = t**3 - 20*t**2 + 7*t - 140. Let l(o) = -o**3 + 14*o**2 + 21*o - 2. Let v be l(-2). Determine b(v).
0
Let g = -106 - 54. Let f = 156 + g. Let x(s) = s**3 + 3*s**2 - 6*s - 1. Calculate x(f).
7
Let o(g) = -8*g**2 - 8*g - 3. Let z(l) = 5*l**2 + 10*l + 3. Let k(x) = -4*o(x) - 5*z(x). Determine k(3).
6
Let v(g) = g**3 + 7*g**2 + 6*g + 6. Let j = 391 - 558. Let k = -173 - j. Calculate v(k).
6
Let q(r) = 2*r**2 + 3*r - 2. Let g be (-1)/(3/(-30)*2). Suppose 2*s + 6 = 3*y - s, 0 = g*y + 2*s + 25. Give q(y).
7
Let z(b) = b**2 + 16*b + 61. Let k be z(-6). Let o(w) = -w + 13. Let x(m) = 2. Let c(l) = k*o(l) - 5*x(l). Let p = 7 - 5. Give c(p).
1
Let x(t) be the third derivative of -t**5/15 + t**3/6 + t**2. Suppose 4*m + 4*z = -172, 0*m + m - 4*z + 68 = 0. Let f be (-32)/m*9/(-6). Give x(f).
-3
Let c(s) = s**3 + 5*s**2 - 21*s - 14. Let q(n) = 18*n**2 - 394*n - 52. Let g be q(22). Give c(g).
-38
Let s(d) = -3*d**3 - d + 1. Let z(a) = 17*a**3 + 6*a**2 + 18. Let m(q) = -6*s(q) - z(q). Calculate m(6).
12
Let b(o) be the first derivative of 11*o**4/4 + o**3 - 4*o + 7953. Determine b(-2).
-80
Let j(c) be the first derivative of 4*c**3 - c + 24. Let w be 112/18 -
|
{
"pile_set_name": "DM Mathematics"
}
|
-48*k**2
Let b(z) = -31*z**2. Let f(u) = -1397 + 19*u + 1397 + 43*u. Calculate f(b(o)).
-1922*o**2
Let j(q) = 9*q. Let m(n) = 4082*n + 26. Let c(h) = -814*h - 5. Let u(y) = -26*c(y) - 5*m(y). What is u(j(x))?
6786*x
Let z(b) = 2*b + 19. Let j(r) = r - 6. Let p(a) = 4*a - 2*a - 3*a + 5. Let m(f) = -5*j(f) - 6*p(f). What is m(z(w))?
2*w + 19
Let j(m) = 57*m. Let y(l) be the first derivative of -l**5/60 + 112*l**3/3 + 77. Let r(c) be the third derivative of y(c). Give j(r(t)).
-114*t
Let z(a) = -15*a. Let p(t) = 22*t + 23*t + 22*t - 69*t + 3 + t. Determine p(z(r)).
15*r + 3
Let t(q) = -4409307*q + 4409307*q + 3728*q**2 - 2. Let h(m) = -2*m**2. Give t(h(y)).
14912*y**4 - 2
Let k(j) = -130*j**2 - 2. Let g(v) = -2*v - 18. Let l(m) = 36*m + 312. Let f(s) = -104*g(s) - 6*l(s). Give f(k(x)).
1040*x**2 + 16
Let z(d) = -29*d**2 + 1 - d + 13*d**2 + 15*d**2. Let v(x) = 5*x**2 + 2*x - 2. Let c(f) = v(f) + 2*z(f). Let k(u) = 13*u. Determine k(c(m)).
39*m**2
Let z(g) = -208*g**2. Let m(k) be the first derivative of -3*k**2/2 + 2*k - 6. Let l(o) = 7*o - 5. Let i(y) = -2*l(y) - 5*m(y). What is z(i(s))?
-208*s**2
Let h(b) = -3327 + 3*b**2 + 1837 + 3*b**2 - 4*b**2. Let u(x) = -2*x**2. Calculate h(u(o)).
8*o**4 - 1490
Let x(h) = -3*h - 4. Let q(l) be the third derivative of 0*l**4 + 1/30*l**5 + 0*l + 0 + 0*l**3 - 7*l**2. Determine x(q(j)).
-6*j**2 - 4
Let f(g) be the first derivative of 2*g**3/3 - 3. Let r(j) be the first derivative of 0*j**2 + 17/3*j**3 + 0*j - 2. Give f(r(a)).
578*a**4
Let h(k) = -7*k + 5. Let p(v) = 8*v - 6. Let m(u) = 6*h(u) + 5*p(u). Let a(l) = -261*l + 16*l - 619 + 619. Determine a(m(b)).
490*b
Let o(x) = 4*x**2. Let f be ((0/((0 + -2)/1))/2)/2. Let r(b) be the first derivative of 0*b + 10 + 1/3*b**3 + f*b**2. Give r(o(h)).
16*h**4
Let y(s) = 3*s + 4. Let o(g) = -126018*g. Calculate o(y(h)).
-378054*h - 504072
Let h(l) = -413*l + 2457. Let x(f) = 16*f. Determine h(x(j)).
-6608*j + 2457
Let l(t) = 53938*t**2. Let o(b) = 21*b + 2. Determine o(l(z)).
1132698*z**2 + 2
Let l(f) = -19*f + 346. Let z be l(16). Let x(y) = 39*y**2 + 3*y - z*y**2 - 3*y. Let s(w) = 3*w**2 + 1. Give x(s(k)).
-27*k**4 - 18*k**2 - 3
Let z(y) = -8*y + 186. Let x(t) = 53*t**2 - 4*t. Give z(x(g)).
-424*g**2 + 32*g + 186
Let l(d) = 5*d. Let t be ((-20)/(-50))/((-4)/(-10)). Let z(a) = -2*a - 1. Let r(u) = -3*u + 3. Let x(n) = t*r(n) + 3*z(n). Calculate l(x(v)).
-45*v
Let x(b) be the first derivative of 13*b**2 - 650. Let v(u) = 6*u**2. Give x(v(i)).
156*i**2
Let s(u) = u. Let h(m) = -m**3 - 12*m**2 - 14*m + 38. Let t be h(-11). Let x(q) = -363*q**2 + t - 71 + 10*q**2. What is x(s(d))?
-353*d**2
Let t(h) = -393*h**2. Let b(j) be the first derivative of 2*j**3/3 - 1387. Give t(b(l)).
-1572*l**4
Let b(r) = -43*r**2. Let w(a) = 114475*a. Give w(b(n)).
-4922425*n**2
Let f(b) be the first derivative of 9*b**2/2 + 5*b + 84. Let p(r) = -11*r + 2. Give f(p(k)).
-99*k + 23
Let i(q) be the third derivative of -52 + 4*q**2 - 1/4*q**4 + 0*q - 1/6*q**3. Let j(y) be the first derivative of y**3/3 - 1. Give j(i(u)).
36*u**2 + 12*u + 1
Let h(w) be the second derivative of w**4/4 + w. Let m(u) be the second derivative of 0*u**2 + 3*u - 52 + 5/6*u**3. Calculate m(h(q)).
15*q**2
Let w(g) = -42*g - 39*g - 46*g - 48*g + 181*g. Let u(k) = -5*k**2 + 4. What is w(u(o))?
-30*o**2 + 24
Let z(l) = 13*l - 22. Let x(h) = 4*h - 7. Let u(s) = 19*x(s) - 6*z(s). Let c(q) = 59*q. Give c(u(g)).
-118*g - 59
Let s(b) = 78*b + 32*b + 55*b - 328*b + 77*b. Let h(g) = -2*g**2 - 36*g. Calculate s(h(p)).
172*p**2 + 3096*p
Let g(z) = 6*z**2. Let w(k) = 2212080*k. What is w(g(h))?
13272480*h**2
Let n(y) = -2*y + 207. Let u(v) be the second derivative of 0*v**2 - 41*v - 1/3*v**3 - 3. Determine n(u(b)).
4*b + 207
Let g(o) = 6*o**2 - o - 3. Let t be g(2). Suppose 0 = 5*p - t - 11. Let y(w) = 5*w**2 + 2*w**2 - p*w**2 + 0*w**2. Let j(b) = -5*b. Give y(j(s)).
25*s**2
Let s(x) be the first derivative of 339*x**2/2 + 1302. Let f(y) = -3*y. Give f(s(b)).
-1017*b
Let p(k) = -25*k - 2. Let g(y) be the first derivative of y**2 - 892. Calculate p(g(a)).
-50*a - 2
Let p(a) = -7*a - 477*a**2 + 7*a - 16 + 479*a**2. Let g(d) = -519 - 3*d + 519. Calculate g(p(f)).
-6*f**2 + 48
Let b(z) = 12*z + 1. Let n(d) be the third derivative of 0*d**3 - d + 0 - 1/12*d**4 + 46*d**2. Calculate b(n(w)).
-24*w + 1
Suppose 19*a + 3*s = 21*a - 53, 116 = 5*a - 2*s. Let c(m) = -a*m - 91*m + 28*m - 49*m. Let g(q) = 2*q. Give g(c(h)).
-268*h
Let t(j) = 651 - 310 - 341 + 6*j. Let a(i) be the first derivative of i**4/3 + i - 1. Let k(u) be the first derivative of a(u). Give t(k(s)).
24*s**2
Let t(b) = 2*b. Let c(r) = 21967055*r**2. Give c(t(i)).
87868220*i**2
Let h(n) = -727*n**2. Let j(q) = 88 + 2*q**2 - 342 + 254. Give j(h(c)).
1057058*c**4
Let p(w) = -w**2. Let i = -14 + 77. Let y = -947 + 1083. Let c(t) = 65*t - y*t + i*t. Give c(p(g)).
8*g**2
Let v(s) = 6086*s + 159. Let p(b) = 234*b + 6. Let o(r) = 159*p(r) - 6*v(r). Let i(z) = -22*z. Determine i(o(l)).
-15180*l
Let c(k) = 23*k - 64*k + 40*k. Let f(s) = -s**3 + 11*s**2 + 14*s - 13. Let q be f(12). Let r(b) = q*b**2 + 16*b**2 + 12*b**2. What is r(c(m))?
39*m**2
Let c(q) = 80*q. Let o(r) = -14*r**2 + 707 + 703 + 703 - 2113. What is c(o(t))?
-1120*t**2
Let j(z) = -5*z. Let l(i) = -2*i + 6 + 3*i + 2*i. Let g = -3504 + 3498. Let v(h) = -2*h - 5. Let b(a) = g*v(a) - 5*l(a). Give b(j(c)).
15*c
Let b(d) = 13484*d**2. Let z(q) = 411*q**2. Calculate b(z(m)).
2277730764*m**4
Let b(a) be the third derivative of -122*a**5/5 - 766*a**2. Let o(h) = 2*h. Calculate b(o(f)).
-5856*f**2
Let o(h) = 164*h - 11*h + 48*h - 94*h + 229*h. Let i(g) = 4*g**2. Calculate o(i(m)).
1344*m**2
Let r(s) be the third derivative of -433*s**4/24 + 487*s**2. Let y(j) = 2*j**2. Determine r(y(a)).
-866*a**2
Let r(y) = -y**2 + 2*y - 1. Let w(h) = -16*h**2 + 12*h - 6. Let s(n) = 6*r(n) - w(n). Let m(a) be the first derivative of 13*a**3/3 + 59. Give s(m(t)).
1690*t**4
Let f(k) be the second derivative of k**4/12 + 1108*k + 3. Let b(w) = 603*w**2. What is f(b(h))?
363609*h**4
Let b(h) = 63*h**2. Let n(l) = -8*l + 5. Let d(m) = 6*m + 40. Let t be d(-8). Let r(j) = 13*j - 8. Let p(y) = t*n(y) - 5*r(y). Determine p(b(k)).
-63*k**2
Let p = 408 + -392. Let y(g) = 58*g**2 - 3*g - 3. Let o(v) = 176*v**2 - 8*v - 8. Let m(t) = p*y(t) - 6*o(t). Let l(r) = -2*r. Calculate m(l(q)).
-512*q**2
Let m(g) = g. Let c(a) = 6*a. Suppose 4*h = -2 - 2. Let o(v) = h*c(v) + 4*m(v). Let i(u) = -8011*u**2 - 9471*u**2 + 17492*u**2. Determine o(i(l)).
-20*l**2
Let h(m) = -m - 27*m - 14*m - 22*m. Let q(i) = -60*i. Determine h(q(v)).
3840*v
Let l(u) = u. Let b(c) = 7*c**2 - 25*c + 15. Let w = 426 - 434. Let j(i) = -10*i**2 + 38*i - 24. Let d(y) = w*b(y) - 5*j(y). Give l(d(v)).
-6*v**2 + 10*v
Let y(w) = 5*w**2. Let r(m) = -82*m - 9. Let o(a) = 33*a + 5. Let h(b) = -5*o(b) - 2*r(b). Calculate h(y(c)).
-5*c**2 - 7
Let t(b) = -9933*b. Let d(a) = -134*a**2 + 148*a. Give d(t(s)).
-13221041526*s**2 - 1470084*s
Let l(d) = -2*d. Let r(g) = -104667*g + 208972*g - 104638*g. What is l(r(j))?
666*j
Let r(h) = 24*h. Let v(u) = -24*u**2 - 15217*u. What is v(r(w))?
-13824*w**2 - 365208*w
Let f(m) be the first derivative of -m**5/15 + 5*m**2/2 - 6. Let b(q) be the second derivative of f(q). Let s(l) = -6*l - l - 8*l + 9*l - l. What is b(s(d))?
-196*d**2
Let k(f) = 141*f. Let s(o) = 3*o - 76. Let j be s(26). Let u(t) = 6*t - j*t - 119 - 5*t + 119. What is u(k(h))?
-141*h
Let p(d) = -d**2 - d. Let j(w) = -w**2 - 3*w. Let q(f) = -2*j(f) + 6*p(f). Let k(n) = -426*n**2 - 3653 + 427*n**2 + 3653. Determine q(k(i)).
-4*i**4
Suppose 0 = -2*h - 3*c + 20 + 12, h = -4*c + 11. Suppose -13 + 70 = 3*x. Let m(g) = -h*g + x*g - 9*g**2. Let q(f) = -5*f**2. Calculate m(q(z)).
-225*z**4
Let g(k) = -27*k**2 - 23*k**2 - 8*k**2 + 6*k**2. Let v(l) = 23*l + 25*l - 92*l + 22*l + 20*l. Calculate g(v(f)).
-208*f**2
Let r(w) = 128*w**2. Let z(c) be the third derivative of 0*c - 2*c**2 - 12 + 0*c**3 - 1/12*c**4. Give r(z(g)).
512*g**2
Let a(n) = 4*n + 4*n + 0*n. Let x(r) be the second derivative of 0*r**2 + 0*r**3 + 3 - 5*r - 1/12*r**4. Give x(a(d)).
-64*d**2
Let k(r) be the second derivative of -2*r**4/3 + 140*r + 5. Let u(y) = y - 192. What is k(u(d))?
-8*d**2 + 3072*d - 294912
Let w(l) = -800*l + 22. Let g(p) = -2*p*
|
{
"pile_set_name": "DM Mathematics"
}
|
ator of 49/1088847 and -52/9693.
3266541
Find the common denominator of -35/18 and 167/1678110.
5034330
Find the common denominator of 47/46318 and 117/14.
324226
What is the smallest common multiple of 84 and 653520?
653520
Calculate the smallest common multiple of 16182 and 19778.
178002
What is the lowest common multiple of 150 and 2378?
178350
Calculate the least common multiple of 28 and 5752.
40264
What is the common denominator of -169/1368840 and 163/4080?
2737680
What is the least common multiple of 12765 and 28083?
140415
What is the lowest common multiple of 9900 and 180?
9900
Calculate the smallest common multiple of 18 and 16523.
297414
Calculate the lowest common multiple of 287385 and 1034586.
5172930
What is the smallest common multiple of 30 and 18390?
18390
Calculate the common denominator of -55/378 and 67/10692.
74844
What is the smallest common multiple of 43 and 83291?
83291
Find the common denominator of 77/34152 and -55/22768.
68304
Calculate the common denominator of 149/1260 and 67/36.
1260
What is the lowest common multiple of 65930 and 6940?
131860
What is the lowest common multiple of 21896 and 4692?
65688
What is the least common multiple of 8672 and 44444?
355552
Find the common denominator of -69/2912 and 19/5088.
463008
What is the common denominator of 47/594 and -21/352?
9504
What is the least common multiple of 8925 and 30?
17850
Calculate the common denominator of -137/216 and -91/423270.
5079240
Calculate the lowest common multiple of 985764 and 890.
4928820
Find the common denominator of 109/6 and -125/27576.
27576
What is the least common multiple of 468 and 234?
468
What is the lowest common multiple of 167 and 528?
88176
Calculate the smallest common multiple of 2337 and 46617.
885723
What is the lowest common multiple of 4356 and 184?
200376
What is the smallest common multiple of 3872 and 5324?
42592
Find the common denominator of -33/1840 and -191/7590.
60720
What is the least common multiple of 247489 and 151?
247489
Calculate the smallest common multiple of 64839 and 367421.
1102263
What is the common denominator of -19/40 and 49/171760?
171760
Calculate the smallest common multiple of 23316 and 5829.
23316
Calculate the least common multiple of 7425 and 550.
14850
What is the lowest common multiple of 58490 and 11698?
58490
Calculate the common denominator of -89/2598 and 45/49.
127302
What is the least common multiple of 21 and 289995?
2029965
What is the lowest common multiple of 35 and 25635?
179445
What is the least common multiple of 7406 and 33856?
236992
What is the least common multiple of 1681783 and 9?
15136047
Calculate the common denominator of 25/52 and -119/18954.
37908
Calculate the least common multiple of 24 and 12.
24
What is the smallest common multiple of 24456 and 264?
269016
Find the common denominator of -15/88484 and -35/185012.
2035132
What is the least common multiple of 4620 and 1428?
78540
What is the smallest common multiple of 10 and 11195?
22390
What is the least common multiple of 2840 and 1704?
8520
What is the common denominator of 73/22 and 25/40744?
40744
What is the least common multiple of 435 and 26622?
133110
What is the lowest common multiple of 14739 and 235824?
235824
What is the lowest common multiple of 55 and 64790?
64790
Calculate the common denominator of 1/188 and 61/51720.
2430840
Calculate the common denominator of -29/3705 and 97/523887.
2619435
Calculate the least common multiple of 1143 and 198.
25146
Find the common denominator of 89/7880 and 123/2810.
2214280
What is the common denominator of -40/4401 and -115/6?
8802
Calculate the lowest common multiple of 2418 and 18972.
246636
Find the common denominator of -115/378 and 56/210411.
2945754
Calculate the common denominator of 37/5978 and -44/56791.
113582
What is the common denominator of -37/2688 and -65/2592?
72576
What is the lowest common multiple of 2840 and 16756?
167560
Find the common denominator of 139/980 and -51/100450.
200900
Find the common denominator of 91/1240 and 125/2418.
48360
What is the least common multiple of 27 and 235941?
2123469
What is the smallest common multiple of 12306 and 42?
12306
Find the common denominator of 23/68457 and -7/627.
753027
What is the common denominator of -69/9380 and 121/19698?
196980
Calculate the common denominator of 45/18428 and -87/187532.
3188044
Calculate the common denominator of -101/77580 and -13/5172.
77580
What is the least common multiple of 88 and 11880?
11880
Calculate the common denominator of 3/1534 and -109/22.
16874
Calculate the common denominator of 13/92720 and 149/7320.
278160
Calculate the common denominator of -59/8802 and 61/110840.
2992680
What is the common denominator of 37/38448 and 71/3672?
653616
What is the smallest common multiple of 199662 and 27?
1796958
What is the smallest common multiple of 542008 and 1016265?
8130120
Calculate the least common multiple of 24273 and 3.
24273
Calculate the smallest common multiple of 6944 and 2016.
62496
What is the lowest common multiple of 30 and 39100?
117300
Calculate the smallest common multiple of 34814 and 1352.
139256
What is the common denominator of 11/2778 and 85/24?
11112
What is the lowest common multiple of 5356 and 28?
37492
Calculate the lowest common multiple of 8604 and 23900.
215100
Calculate the common denominator of -87/53984 and 75/784.
377888
Calculate the least common multiple of 3509 and 58377.
642147
What is the common denominator of -11/74752 and 163/42?
1569792
What is the smallest common multiple of 1254 and 7866?
86526
What is the smallest common multiple of 181836 and 72?
363672
Calculate the smallest common multiple of 264 and 123.
10824
Calculate the smallest common multiple of 267225 and 33.
2939475
What is the least common multiple of 425412 and 15756?
425412
Calculate the smallest common multiple of 4605 and 19955.
59865
What is the smallest common multiple of 35673 and 1128?
285384
Find the common denominator of -121/46340 and -131/360.
834120
What is the least common multiple of 160212 and 4?
160212
Calculate the common denominator of 13/212688 and -19/504.
212688
Find the common denominator of 173/194292 and -133/48.
777168
What is the lowest common multiple of 250 and 573725?
5737250
Calculate the common denominator of -161/248352 and -67/56.
1738464
Calculate the smallest common multiple of 46672 and 344206.
2753648
Calculate the common denominator of 29/4766 and -31/431323.
862646
What is the least common multiple of 136 and 278256?
278256
Calculate the lowest common multiple of 56 and 4844.
9688
Calculate the common denominator of -77/8 and -27/3880.
3880
Calculate the common denominator of -83/10098 and -43/546.
918918
What is the common denominator of 18/65 and 94/105?
1365
What is the common denominator of -19/78 and 47/2393?
186654
What is the smallest common multiple of 7 and 299815?
2098705
What is the lowest common multiple of 587910 and 60?
1175820
Calculate the common denominator of -40/1016057 and 19/870906.
6096342
Calculate the common denominator of -2/255351 and -93/14.
3574914
Calculate the common denominator of -20/12663 and 89/945.
63315
What is the smallest common multiple of 936 and 1159496?
10435464
Find the common denominator of 127/168 and 73/48.
336
Find the common denominator of 17/796 and -23/26.
10348
Calculate the common denominator of 76/169599 and -65/18.
1017594
What is the common denominator of 81/578380 and -21/880?
2313520
Calculate the common denominator of 37/156774 and 5/10353.
1097418
Calculate the smallest common multiple of 42 and 4242.
4242
What is the lowest common multiple of 205088 and 336?
4306848
Calculate the smallest common multiple of 171 and 15426.
293094
Calculate the lowest common multiple of 14410 and 20174.
100870
What is the lowest common multiple of 9 and 2403804?
7211412
What is the smallest common multiple of 301454 and 14?
2110178
What is the least common multiple of 4172 and 313794?
4393116
Calculate the least common multiple of 9350 and 28050.
28050
What is the least common multiple of 76856 and 104?
76856
Find the common denominator of 54/1015 and 8/245.
7105
What is the smallest common multiple of 444491 and 6?
2666946
What is the smallest common multiple of 6226
|
{
"pile_set_name": "DM Mathematics"
}
|
ment from ysisifiqyfsqqy?
6/91
What is prob of picking 1 m and 1 e when two letters picked without replacement from {x: 2, m: 1, a: 1, q: 2, e: 1, s: 2}?
1/36
Three letters picked without replacement from {x: 3, v: 3}. What is prob of picking 1 x and 2 v?
9/20
Four letters picked without replacement from {l: 1, p: 2, s: 3, m: 4, i: 6, j: 2}. What is prob of picking 3 l and 1 j?
0
What is prob of picking 1 t and 1 c when two letters picked without replacement from ggtocgttgtt?
1/11
Four letters picked without replacement from {z: 3, h: 11}. What is prob of picking 2 z and 2 h?
15/91
Three letters picked without replacement from zzmzmlllzl. Give prob of picking 2 m and 1 l.
1/30
Four letters picked without replacement from {b: 2, u: 3}. What is prob of picking 1 b and 3 u?
2/5
Two letters picked without replacement from {t: 11, w: 1, u: 2, k: 2}. What is prob of picking 2 t?
11/24
What is prob of picking 1 b and 2 p when three letters picked without replacement from bbpp?
1/2
Calculate prob of picking 3 e when three letters picked without replacement from {e: 3}.
1
What is prob of picking 2 o and 2 q when four letters picked without replacement from hohqohhqo?
1/42
Calculate prob of picking 1 j and 3 t when four letters picked without replacement from {q: 2, j: 1, d: 1, s: 1, t: 6, i: 4}.
4/273
What is prob of picking 1 a, 1 n, and 1 t when three letters picked without replacement from {g: 1, a: 6, m: 3, q: 2, n: 2, t: 5}?
20/323
Calculate prob of picking 2 l and 2 x when four letters picked without replacement from {l: 4, b: 7, m: 5, x: 3}.
3/646
Four letters picked without replacement from cccuccuccccucuuccccc. What is prob of picking 4 c?
91/323
What is prob of picking 2 d and 1 g when three letters picked without replacement from ggdgdgddddddddddddg?
455/969
Two letters picked without replacement from {g: 5, j: 5}. What is prob of picking 2 g?
2/9
What is prob of picking 1 o and 1 h when two letters picked without replacement from {q: 11, h: 2, e: 5, o: 1}?
2/171
Three letters picked without replacement from kudvztzukkvdvk. Give prob of picking 2 z and 1 d.
1/182
Two letters picked without replacement from wwpwwqlqwqtlcwlq. What is prob of picking 1 c and 1 l?
1/40
What is prob of picking 1 q and 1 k when two letters picked without replacement from kxppxqjpppqqqqqpqpp?
7/171
Two letters picked without replacement from bbltbtxxtblxbbttb. What is prob of picking 2 x?
3/136
Calculate prob of picking 3 s and 1 b when four letters picked without replacement from gsssgsssbsbbxbbxbs.
28/255
What is prob of picking 1 d, 2 t, and 1 w when four letters picked without replacement from {e: 8, t: 2, w: 4, g: 1, d: 1}?
1/455
Calculate prob of picking 3 s when three letters picked without replacement from {s: 7, p: 3}.
7/24
Four letters picked without replacement from {j: 3, t: 3, f: 1, d: 1, c: 2, h: 1}. Give prob of picking 1 d, 1 c, and 2 t.
1/55
Two letters picked without replacement from {s: 2, m: 2, o: 4, q: 1}. Give prob of picking 2 m.
1/36
Calculate prob of picking 1 w, 1 h, and 2 d when four letters picked without replacement from dpppppdwhddddddphp.
14/765
Three letters picked without replacement from {x: 1, l: 1, g: 7}. Give prob of picking 3 g.
5/12
Four letters picked without replacement from ncsyscfsyyc. What is prob of picking 1 y and 3 s?
1/110
Calculate prob of picking 1 x and 1 o when two letters picked without replacement from qxouxxuoq.
1/6
Two letters picked without replacement from pyceh. What is prob of picking 1 e and 1 y?
1/10
Two letters picked without replacement from {z: 1, g: 1, v: 2, n: 2, u: 2, w: 1}. Give prob of picking 1 z and 1 w.
1/36
Calculate prob of picking 2 m and 1 o when three letters picked without replacement from mmooomomkok.
2/11
Two letters picked without replacement from itiuiuuhhiipuhhhhi. Give prob of picking 1 i and 1 h.
4/17
What is prob of picking 2 f when two letters picked without replacement from ffttfqfftftfqf?
4/13
Two letters picked without replacement from {l: 1, v: 1, k: 2, h: 2}. What is prob of picking 1 h and 1 l?
2/15
Four letters picked without replacement from {o: 3, d: 5}. Give prob of picking 3 d and 1 o.
3/7
Four letters picked without replacement from bqggngqtntft. Give prob of picking 1 q, 2 n, and 1 g.
2/165
Calculate prob of picking 1 b, 1 y, and 1 k when three letters picked without replacement from {g: 1, k: 4, v: 2, f: 2, y: 4, b: 6}.
32/323
What is prob of picking 1 n and 2 y when three letters picked without replacement from {n: 11, y: 3}?
33/364
Four letters picked without replacement from {t: 1, s: 2, b: 4, d: 2, y: 1, l: 2}. What is prob of picking 1 t, 1 d, and 2 s?
2/495
What is prob of picking 2 s when two letters picked without replacement from {j: 1, s: 2, y: 2, e: 1, r: 1}?
1/21
Three letters picked without replacement from mmmmmmmmmmmmn. Give prob of picking 3 m.
10/13
What is prob of picking 1 i and 3 c when four letters picked without replacement from {i: 4, a: 2, c: 3, s: 2}?
2/165
Two letters picked without replacement from {s: 9, h: 5}. What is prob of picking 2 h?
10/91
What is prob of picking 1 g and 1 p when two letters picked without replacement from {a: 1, p: 4, w: 1, q: 1, j: 5, g: 5}?
5/34
Calculate prob of picking 2 f when two letters picked without replacement from {z: 1, s: 3, u: 1, g: 8, f: 4}.
3/68
Four letters picked without replacement from gppppgx. Give prob of picking 2 p, 1 x, and 1 g.
12/35
Calculate prob of picking 1 v and 1 s when two letters picked without replacement from {k: 1, s: 1, v: 2, c: 6, y: 2}.
1/33
Calculate prob of picking 1 m and 3 z when four letters picked without replacement from zmzzmzzzzzzz.
16/33
What is prob of picking 2 x and 1 h when three letters picked without replacement from {x: 2, m: 1, l: 1, h: 1}?
1/10
Three letters picked without replacement from {i: 6, w: 2, k: 1, y: 4}. What is prob of picking 2 y and 1 k?
3/143
Calculate prob of picking 2 e and 2 i when four letters picked without replacement from {e: 4, i: 3, v: 5, m: 7}.
3/646
Two letters picked without replacement from {o: 9, w: 3, s: 2, x: 2}. What is prob of picking 1 w and 1 s?
1/20
Two letters picked without replacement from {s: 2, b: 1, f: 1, n: 2, o: 2}. What is prob of picking 1 s and 1 o?
1/7
Three letters picked without replacement from {q: 1, r: 2, u: 1, n: 2, j: 1, h: 2}. What is prob of picking 2 n and 1 u?
1/84
What is prob of picking 1 r and 1 m when two letters picked without replacement from {f: 2, t: 2, r: 5, m: 3}?
5/22
Two letters picked without replacement from ouozcz. Give prob of picking 1 z and 1 c.
2/15
Four letters picked without replacement from hhahahha. Give prob of picking 3 a and 1 h.
1/14
Calculate prob of picking 2 n when two letters picked without replacement from nnnmmnmmnnnmnnnn.
11/24
Three letters picked without replacement from {f: 4, d: 6}. What is prob of picking 3 d?
1/6
Four letters picked without replacement from yyyyxlyxl. What is prob of picking 1 y, 2 x, and 1 l?
5/63
What is prob of picking 1 c and 2 v when three letters picked without replacement from {e: 1, l: 2, v: 2, c: 6}?
2/55
Four letters picked without replacement from {y: 6}. Give prob of picking 4 y.
1
Two letters picked without replacement from kmmmmvmvkvmvvmmmmvm. What is prob of picking 2 k?
1/171
Two letters picked without replacement from vovwcnt. What is prob of picking 1 o and 1 c?
1/21
What is prob of picking 1 m and 1 z when two letters picked without replacement from mmzmmmzmm?
7/18
Four letters picked without replacement from {c: 2, s: 8, o: 5, m: 4}. What is prob of picking 3 o and 1 m?
10/969
What is prob of picking 2 o when two letters picked without replacement from bbbbbbobobb?
1/55
Four letters picked without replacement from {p: 3, d: 4, q: 11}. What is prob of picking 4 d?
1/3060
Two letters picked without replacement from {g: 7, q: 10, r: 1, i: 1}. What is prob of picking 1 g and 1 r?
7/171
Two letters picked without replacement from sgtsuhgsss. Give prob of picking 1 g and 1 s.
2/9
Calculate prob of picking 1 q and 1 k when two letters picked without replacement from {q: 5, k: 14, a: 1}.
7/19
Four letters picked without replacement from mimiiviivvvm. What is prob of picking 1 i and 3 v?
4/99
What is prob of picking 2 s when t
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{
"pile_set_name": "DM Mathematics"
}
|
f -22422, -22202, -21830, -21300, -20606?
g**3 + 70*g**2 + 3*g - 22496
What is the r'th term of 452820, 452075, 450832, 449091, 446852, 444115, 440880?
-249*r**2 + 2*r + 453067
What is the m'th term of 742, 544, 356, 178, 10, -148?
5*m**2 - 213*m + 950
What is the z'th term of -5753563, -11507161, -17260759, -23014357, -28767955?
-5753598*z + 35
What is the o'th term of 208815, 208735, 208657, 208581, 208507, 208435?
o**2 - 83*o + 208897
What is the w'th term of -4323, -8599, -15715, -25665, -38443?
w**3 - 1426*w**2 - 5*w - 2893
What is the s'th term of -116847, -116780, -116713, -116646?
67*s - 116914
What is the a'th term of -2008705, -4017404, -6026103, -8034802, -10043501, -12052200?
-2008699*a - 6
What is the n'th term of 361330583, 361330586, 361330589, 361330592, 361330595, 361330598?
3*n + 361330580
What is the v'th term of -1030, -1568, -2114, -2668, -3230?
-4*v**2 - 526*v - 500
What is the k'th term of 1190, 4558, 10196, 18116, 28330, 40850?
2*k**3 + 1123*k**2 - 15*k + 80
What is the j'th term of -37732, -53873, -70014, -86155, -102296, -118437?
-16141*j - 21591
What is the y'th term of -58997513, -117995028, -176992543, -235990058, -294987573?
-58997515*y + 2
What is the q'th term of 4390, 35295, 119282, 282919, 552774, 955415, 1517410?
4428*q**3 - 27*q**2 - 10*q - 1
What is the s'th term of 123380, 246685, 369990, 493295, 616600?
123305*s + 75
What is the b'th term of 650, 313, -476, -1717, -3410, -5555?
-226*b**2 + 341*b + 535
What is the l'th term of 13017906, 13017891, 13017876, 13017861, 13017846, 13017831?
-15*l + 13017921
What is the h'th term of -10958, -21832, -32628, -43346, -53986, -64548, -75032?
39*h**2 - 10991*h - 6
What is the q'th term of -294813, -294818, -294823?
-5*q - 294808
What is the a'th term of 516497, 1033215, 1550153, 2067311, 2584689?
110*a**2 + 516388*a - 1
What is the r'th term of -128, 100, 792, 2188, 4528?
40*r**3 - 8*r**2 - 28*r - 132
What is the p'th term of 2185, 8716, 19653, 35038, 54913, 79320?
7*p**3 + 2161*p**2 - p + 18
What is the m'th term of -2392, -9922, -22478, -40066, -62692?
-m**3 - 2507*m**2 - 2*m + 118
What is the t'th term of -530, -357, 198, 1135, 2454?
191*t**2 - 400*t - 321
What is the d'th term of -515, -1104, -1759, -2480?
-33*d**2 - 490*d + 8
What is the v'th term of 1056933, 2113868, 3170803?
1056935*v - 2
What is the q'th term of 1510, 5176, 15408, 35488, 68698?
547*q**3 + q**2 - 166*q + 1128
What is the a'th term of 21725, 43357, 64989, 86621, 108253, 129885?
21632*a + 93
What is the f'th term of 382166, 382160, 382154?
-6*f + 382172
What is the j'th term of -121981, -121955, -121905, -121825, -121709, -121551, -121345?
j**3 + 6*j**2 + j - 121989
What is the a'th term of 42425, 41143, 39007, 36017?
-427*a**2 - a + 42853
What is the c'th term of 19201, 38060, 56921, 75784, 94649?
c**2 + 18856*c + 344
What is the z'th term of -139628, -139645, -139678, -139733, -139816, -139933?
-z**3 - 2*z**2 - 4*z - 139621
What is the k'th term of 876, 3134, 6816, 11922?
712*k**2 + 122*k + 42
What is the i'th term of -86673651, -86673646, -86673641, -86673636, -86673631, -86673626?
5*i - 86673656
What is the z'th term of 6359285, 6359292, 6359303, 6359318, 6359337?
2*z**2 + z + 6359282
What is the q'th term of -1066736, -4266631, -9599684, -17065895?
-1066579*q**2 - 158*q + 1
What is the k'th term of -9346, -23851, -38356, -52861, -67366, -81871?
-14505*k + 5159
What is the t'th term of -401785, -803408, -1205021, -1606618, -2008193, -2409740, -2811253, -3212726?
t**3 - t**2 - 401627*t - 158
What is the g'th term of -148442, -298955, -449468, -599981, -750494?
-150513*g + 2071
What is the p'th term of -15098, -30494, -45916, -61370, -76862, -92398, -107984?
-p**3 - 7*p**2 - 15368*p + 278
What is the y'th term of 5338, 10604, 15860, 21106, 26342, 31568?
-5*y**2 + 5281*y + 62
What is the x'th term of -58752524, -117505051, -176257578, -235010105?
-58752527*x + 3
What is the v'th term of 51578, 103117, 154560, 205859, 256966?
-8*v**3 + 51595*v - 9
What is the d'th term of 170, 581, 1190, 2021, 3098, 4445, 6086?
4*d**3 + 75*d**2 + 158*d - 67
What is the a'th term of 2370, 9404, 21138, 37572, 58706, 84540?
2350*a**2 - 16*a + 36
What is the a'th term of 288445, 288454, 288483, 288538, 288625, 288750, 288919?
a**3 + 4*a**2 - 10*a + 288450
What is the b'th term of 6171, 6218, 6299, 6414, 6563, 6746?
17*b**2 - 4*b + 6158
What is the s'th term of 41850772, 83701545, 125552318, 167403091, 209253864?
41850773*s - 1
What is the t'th term of -201599, -203797, -205995?
-2198*t - 199401
What is the c'th term of -264070, -528206, -792406, -1056670?
-32*c**2 - 264040*c + 2
What is the k'th term of 1722, 3514, 5302, 7086, 8866, 10642?
-2*k**2 + 1798*k - 74
What is the d'th term of 169, 443, 967, 1741, 2765, 4039?
125*d**2 - 101*d + 145
What is the y'th term of 5508, 10972, 16418, 21840, 27232, 32588, 37902?
-y**3 - 3*y**2 + 5480*y + 32
What is the c'th term of -26852497, -53705001, -80557507, -107410015, -134262525, -161115037, -187967551?
-c**2 - 26852501*c + 5
What is the y'th term of 93278311, 93278310, 93278309, 93278308, 93278307, 93278306?
-y + 93278312
What is the u'th term of 17727047, 35454096, 53181157, 70908236, 88635339, 106362472, 124089641?
u**3 + 17727042*u + 4
What is the y'th term of -19583, -18444, -17303, -16160, -15015, -13868, -12719?
y**2 + 1136*y - 20720
What is the a'th term of -272, 1128, 4060, 8524, 14520?
766*a**2 - 898*a - 140
What is the i'th term of -5411804, -10823669, -16235534, -21647399, -27059264?
-5411865*i + 61
What is the x'th term of -4184, -4023, -3748, -3353, -2832?
x**3 + 51*x**2 + x - 4237
What is the z'th term of 23819, 97991, 221615, 394691, 617219?
24726*z**2 - 6*z - 901
What is the g'th term of 773932, 773877, 773836, 773815, 773820, 773857?
g**3 + g**2 - 65*g + 773995
What is the z'th term of -148719, -297921, -447123, -596325?
-149202*z + 483
What is the q'th term of -236292, -236284, -236270, -236250, -236224, -236192, -236154?
3*q**2 - q - 236294
What is the g'th term of -2017450, -2017517, -2017582, -2017645, -2017706, -2017765, -2017822?
g**2 - 70*g - 2017381
What is the o'th term of 2197361, 2197387, 2197411, 2197433, 2197453, 2197471?
-o**2 + 29*o + 2197333
What is the j'th term of -15663, -31365, -47075, -62793?
-4*j**2 - 15690*j + 31
What is the h'th term of 32213, 128852, 289867, 515216, 804857, 1158748, 1576847?
-7*h**3 + 32230*h**2 - 2*h - 8
What is the b'th term of 20153, 35020, 49887, 64754, 79621?
14867*b + 5286
What is the l'th term of 3530618, 3530620, 3530622, 3530624, 3530626?
2*l + 3530616
What is the b'th term of -930670, -1861241, -2791716, -3722095, -4652378, -5582565?
48*b**2 - 930715*b - 3
What is the z'th term of 17675698, 35351399, 53027100?
17675701*z - 3
What is the f'th term of -438409, -877010, -1315605, -1754188, -2192753, -2631294?
f**3 - 3*f**2 - 438599*f + 192
What is the t'th term of -115994, -466618, -1050992, -1869116?
-116875*t**2 + t + 880
What is the q'th term of -3536123, -3536124, -3536125, -3536126, -3536127?
-q - 3536122
What is the a'th term of 108, 262, 398, 516, 616, 698?
-9*a**2 + 181*a - 64
What is the h'th term of 5745, 2649, -447, -3543, -6639, -9735?
-3096*h + 8841
What is the h'th term of -105, -247, -429, -651, -913, -1215, -1557?
-20*h**2 - 82*h - 3
What is the g'th term of 3121, 2999, 2793, 2503, 2129?
-42*g**2 + 4*g + 3159
What is the n'th term of -2253993, -4508002, -6762009, -9016014, -11270017?
n**2 - 2254012*n + 18
What is the g'th term of 30196, 30407, 30620, 30835, 31052, 31271?
g**2 + 208*g + 29987
What is the c'th term of 5487, 11918, 22633, 37632?
2142*c**2 + 5*c + 3340
What is the k'th term of 2551849, 2551854, 2551869, 2551900, 2551953?
k**3 - k**2 + k + 2551848
What is the i'th term of 1027915, 1027911, 1027897, 1027867, 1027815, 1027735, 1027621, 1027467?
-i**3 + i**2 + 1027915
What is the r'th term of -37970853, -75941700, -113912541, -151883376, -189854205?
3*r**2 - 37970856*r
What is the w'th term of 3308370, 6616653, 9924936, 13233219, 16541502, 19849785?
3308283*w + 87
What is the z'th term of 263, 2164, 7279, 17216, 33583?
268*z**3 - z**2 + 28*z - 32
What is the a'th term of -20436, -40797, -61070, -81261, -101376, -121421, -141402, -161325?
-a**3 + 50*a**2 - 20504*a + 19
What is the
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{
"pile_set_name": "DM Mathematics"
}
|
2 + 12*w - 37. Let z be q(4). Put u, 1/10, z in decreasing order.
1/10, u, z
Let k(t) = t**3 + 6*t**2 - 7*t - 1. Let j be k(-7). Let g = -12 + 17. Put j, 0.1, g in decreasing order.
g, 0.1, j
Suppose -i + 2*h + 4 = 0, -2*i = -0*i - 2*h - 4. Suppose 4*p - 2*p - 2 = i, 0 = -5*q + 3*p - 8. Let n = 4.03 - 0.03. Put q, -4, n in descending order.
n, q, -4
Let c = -4.5 - -5. Put 1/5, 0.1, 5, c in ascending order.
0.1, 1/5, c, 5
Let s = 63/4 - 16. Let m = -12 + 17. Let j = -4 + m. Put s, -2, j in increasing order.
-2, s, j
Let z(s) = -s**2 - 4*s. Let w be z(-5). Let b = -6 + -3. Let a = -8 - b. Sort -2, w, a in increasing order.
w, -2, a
Let w = -4.2 - -5. Let g = w - 0.5. Let m = 0.5 - 0.8. Put g, 1/8, m in decreasing order.
g, 1/8, m
Suppose 4*z - 450 = 474. Let j = 2077/9 - z. Put 1/2, -2/5, j in ascending order.
-2/5, j, 1/2
Let v = 18 - 18. Suppose -2*d - 10 = -v*d. Sort 4, d, 2 in ascending order.
d, 2, 4
Let o = 3/23 - -14/69. Sort -0.5, o, -3.
-3, -0.5, o
Let q(m) = m - 2. Suppose -10 = 5*o, 4*v + 2*o + 0*o = 16. Let g be q(v). Sort -2, g, 2/9.
-2, 2/9, g
Let p(f) = -f + 5. Let q be p(8). Let k = -9 + 11. Put q, -1, k in descending order.
k, -1, q
Suppose -4*z + 19 = 15. Sort -5, -3/4, 0.4, z in decreasing order.
z, 0.4, -3/4, -5
Suppose -3*u + 2*y = 2, 2 + 2 = 4*y. Sort u, 1, -3 in descending order.
1, u, -3
Let c = 0.04 - 4.04. Sort 2, 2/23, c in descending order.
2, 2/23, c
Let x = -73 + 77. Put 5, x, -0.5, 0 in descending order.
5, x, 0, -0.5
Let d be 2/4*-2 + (-5 - -2). Sort 3, 2, -2, d.
d, -2, 2, 3
Let o = -2 + -1. Let z = -8 - o. Sort 0.5, z, 0 in descending order.
0.5, 0, z
Let b be ((-3)/(-9))/((-1)/9). Sort b, 3, -5.
-5, b, 3
Let s(q) = -q**2 - 5*q - 1. Let i be s(-4). Let f(w) = 2*w + 1. Let v be f(2). Suppose -8*t = -v*t + 15. Put t, -1, i in descending order.
i, -1, t
Let r = 50 - 48. Sort -1, -5, r in ascending order.
-5, -1, r
Let n(z) = z**3 - 8*z**2 + 9*z. Let r(m) = -2*m**3 + 16*m**2 - 19*m + 1. Let u(a) = -7*n(a) - 3*r(a). Let i be u(7). Sort i, 5, -5 in descending order.
5, i, -5
Let q = 12 + -14. Sort 4, q, -0.3 in descending order.
4, -0.3, q
Let q be 2/(-6) + (18/4 - 4). Put 0.5, q, -0.4 in increasing order.
-0.4, q, 0.5
Suppose 5*y - b = -6 - 2, 5*b = 2*y + 17. Suppose 0*m = -3*m. Suppose m = -3*o + 5*o + 4. Sort o, 2, y in descending order.
2, y, o
Suppose -5*a + 29 = 84. Let f = a - -7. Let m = 2 - 5. Sort f, m, -1 in descending order.
-1, m, f
Suppose -5*x = -4*w - 2, 0 = x - 5*w - 4 + 12. Sort x, 2/11, 4.
2/11, x, 4
Let z = -3.8 + 4. Sort z, -0.1, 4.
-0.1, z, 4
Suppose -2*r - 2*r - 11 = l, -37 = -5*l + 3*r. Let q = 0.13 + -1.33. Let a = q + 1. Put 2/7, l, a in descending order.
l, 2/7, a
Suppose -45 = -9*d - 18. Sort 15, -5, d in decreasing order.
15, d, -5
Let q = -1.2 + 0.2. Let j = -2.81 + -0.19. Let r = j - q. Sort -3, r, -0.3.
-3, r, -0.3
Suppose -f - 25 = 3*d - 9, d = -4. Sort f, -3, -5, -31 in increasing order.
-31, -5, f, -3
Suppose 3*n + 7*v = 3*v + 7, 1 = 4*n - 3*v. Suppose g = 2*g - 4. Let y be (-1 + 0)*(g + -1). Put n, y, 0 in increasing order.
y, 0, n
Let s(o) = -o**2 - o. Let r be s(1). Sort 1, r, 3, 0.1.
r, 0.1, 1, 3
Let t be 2/3 + 14/6. Let o = t + -5. Suppose -2*j = 4*x - 26, 3*x + 2*x + 5*j - 40 = 0. Sort 1, x, o in increasing order.
o, 1, x
Suppose -4*c - 3*i + 19 + 7 = 0, 5*c + 2*i - 29 = 0. Suppose 2 = 4*m + 6. Put c, 3, m in decreasing order.
c, 3, m
Let r = -0.01 + -0.29. Let x = -1.3 - r. Let d(i) = 4*i - 27. Let l be d(7). Put 3, x, l in increasing order.
x, l, 3
Let a = 0.05 - -0.35. Let b = a + -0.33. Let r = -4.07 + b. Sort r, -0.2, 0.4 in descending order.
0.4, -0.2, r
Let j = -1.13 + 4.13. Let d = 4.06 - 0.06. Sort d, j, -0.3 in decreasing order.
d, j, -0.3
Let h = -0.15 + 5.15. Sort -3/8, -0.3, h in ascending order.
-3/8, -0.3, h
Let q = -10036/21 + 478. Let a = 2.3 - 0.3. Sort a, q, -0.1.
-0.1, q, a
Let d = -12.5 + 13. Let k = 1 - -2. Put d, -1/2, k in decreasing order.
k, d, -1/2
Let i(z) = -z + 3. Suppose -4*l = 5*p, -l = -0*p + 3*p. Let a be i(l). Put a, 0.3, -1/6 in ascending order.
-1/6, 0.3, a
Suppose -4*c + 20 = -48. Suppose -i + 3*k - 9 = k, 3*i = k - c. Put i, 4, -1 in decreasing order.
4, -1, i
Let y(b) = -b**2 + 4*b + 6. Let j be y(5). Suppose -23*m + 24*m = 8. Let i be (3/m)/(j/(-1)). Sort 3, -3, i in decreasing order.
3, i, -3
Let a(c) = -c**2 - 3*c + 6. Let m be a(-5). Let g = 0 + 3. Let z = 2.5 - g. Put m, z, -3/2 in descending order.
z, -3/2, m
Let p be 2/(-7)*3/6. Let k = -0.04 - -0.44. Let n = -1.6 - k. Put 1, p, n in ascending order.
n, p, 1
Let j = -11 - -13. Let k be 16/(-33) + 2/3. Put 4, k, j in ascending order.
k, j, 4
Let p = -5.6 + 0.6. Suppose -7 = 5*b - 37. Let o be 3/(0 + b/(-4)). Put p, o, -0.3 in decreasing order.
-0.3, o, p
Suppose -3*p + 3*h + 3 = -0*p, 4*p + 3*h + 3 = 0. Suppose 8*a - 4*a + 3*j - 9 = p, 2*j - 6 = 0. Suppose a = -0*b - 4*b. Sort b, 3, -3 in increasing order.
-3, b, 3
Let p(l) = -l + 6. Let x be p(6). Put 4, -1, x in descending order.
4, x, -1
Suppose 2*t - 6 - 4 = 0. Suppose -t*a + 25 = -2*i + i, -4*a + 36 = -4*i. Let y be 2/(-4)*(2 - a). Sort y, -2, -0.2.
-2, -0.2, y
Let s = -25 - -29. Sort s, 0.2, -0.5 in descending order.
s, 0.2, -0.5
Let w = 0.1 - 0.13. Let c = -0.47 + w. Put -2/7, c, 4 in decreasing order.
4, -2/7, c
Let t = -1 + 6. Suppose h = 3*h. Suppose -y - 8 = -3*d - 0*d, 5*d - y - 14 = h. Sort d, -0.5, t in ascending order.
-0.5, d, t
Let d be 18/(-5) + 6/(-15). Let x be 2/5 - (-51)/(-15). Put 5, x, d in descending order.
5, x, d
Suppose -5*r - 3 = 4*g, -2*g + 9 = -2*r - 3. Suppose -g = -4*k - 7. Suppose 0 = 2*i + 5 + 5. Put 4, k, i in decreasing order.
4, k, i
Let p(r) be the first derivative of -r**2/2 - r + 7. Let l be p(-4). Sort -5, -7, l in ascending order.
-7, -5, l
Let j = -46.6 + 47. Let g be 1/(-2) + (-31)/(-2). Let w = 10 - g. Put w, -2/3, j in decreasing order.
j, -2/3, w
Let b = 6.97 + -7. Let y = b - -0.13. Let x = -0.43 - -0.03. Put x, 0, y in descending order.
y, 0, x
Let b = 2 + -2.6. Let k = -0.2 - b. Sort k, -2, -1/5 in descending order.
k, -1/5, -2
Let r be ((-2)/(-3))/((-2)/(-9)). Put -1, -5, r in ascending order.
-5, -1, r
Suppose 2*z = 5*z - 6. Suppose 0 = -2*a - 1 - 1, -10 = -2*f + z*a. Suppose r = 2*c - 15 + 6, f*r - 16 = -5*c. Sort c, 5, 3 in ascending order.
3, c, 5
Let g = 0.044 - 0.144. Let x = 0.3 + -0.2. Sort x, g, -0.2 in descending order.
x, g, -0.2
Let u = -8 + 7. Let z be 9/(-6)*u/3. Put z, -0.4, 4 in ascending order.
-0.4, z, 4
Let d be ((-14)/(-49))/(6/(-14)). Sort 1/10, d, 3.
d, 1/10, 3
Let i(l) = l - 4. Let p be i(-3). Put -1, 4, 0, p in increasing order.
p, -1, 0, 4
Let o be 2/(-12) - (-145)/(-30). Suppose -j + 4 = -3*j. Sort o, -1, j in increasing order.
o, j, -1
Suppose 1 + 3 = 2*u. Let o = 1.7 + -2.2. Let x = o - -0.7. Put x, -3, u in ascending order.
-3, x, u
Let h = -12.7 - -16.7. Put 0.1, h, -12 in ascending order.
-12, 0.1, h
Suppose 3 = -2*v + 9. Let r = 4 + -3. Put v, 5, r in descending order.
5, v, r
Let r = 861 - 864.69. Let v = r + 0.29. Let j = -0.4 - v. Put j, -2, -2/17 in decreasing order.
j, -2/17, -2
Let g = -9 + 6. Let u = -19 - -17. Suppose 8*s = 4*s + 4. Sort g, u, s in decreasing order.
s, u, g
Let t be (2/16)/((-3)/4). Let d = -61 + 245/4. Let x be 1/(-4) - 2/8. Sort t, x, d in increasing order.
x, t, d
Let n = -5 + 8. Suppose -6 = -2*g + 4*g. Sort -4, n, g in decreasing order.
n, g, -4
Let x(d) be the third derivative of -7/6*d**3 + 1/6*d**4 - 4*d**2 + 1/60*d**5 + 0*d + 0. Let l be x(-5). Sort l, 0.03, -0.3.
l, -0.3, 0.03
Suppose -4*r + 10 = r. Suppose -4*h - 8 = -q, -r*q + 4 + 6 = -2*h. Suppose -10 = -4*z - z. Put z, h, 4 in increasing order.
h, z, 4
Suppose 77 = -4*k + 11*k. Sort -1, k, -4, 0 in increasing order.
-4, -1, 0, k
Let b = -7 - -12. Let z = -3 + 0. Let v = z + 7. Sort -4, v, b in descending order.
b, v, -4
Let y be 10/10 + (1 - 2). Suppose -2*j + 0 = -4. Suppose y*i = j*i. Put -3, 2, i in decreasing order.
2, i, -3
Suppose 0 = 10*a - 5*a. Let z be 3/9 - (-8)/(-6). Sort a, z, -2 in ascending order.
-2, z, a
Suppose w + 3 = 3*n, -5*w - 19 = 5*n - 4. Sort 4, w, -4 in descending order.
4, w, -4
Let n = 2/13 - 19/39. Sort n, -4, 1 in descending order.
1, n, -4
Let g be 1*(2 + 2 + -2). Let w be (0 - 2/g)*4. Let o = 4 + -7. Put o, w, 0 in increasing o
|
{
"pile_set_name": "DM Mathematics"
}
|
- 1096. Give s(-18).
8
Let o(y) be the first derivative of 45*y**2/2 - 525*y - 7085. Determine o(12).
15
Let w(j) be the first derivative of -2*j**3/3 + 5*j**2 - 9*j + 7. Suppose 50*b = 52*b - u - 11, -2 = -2*u. Calculate w(b).
-21
Let t = -28 - -31. Suppose -r - 1 + t = 0. Let m be (-95)/(-15) - r/6. Let k(p) = p**3 - 5*p**2 - 5*p. What is k(m)?
6
Let o be -12*((-18)/(-24))/(-3). Let z(m) = -1 + m**2 - o + 5 + 2*m. Give z(-2).
1
Suppose -11*x + 26 - 4 = 0. Let w be x/(4/(-11)) + (-5)/10. Let g(r) = 2*r + 10. Determine g(w).
-2
Let t(m) be the first derivative of -m**3/3 - 8*m**2 - 43*m + 2279. Determine t(-10).
17
Let h(g) = -g**3 - 11*g**2 + 14*g + 12. Let i(m) = 2*m**3 - 13*m - 43. Let z be i(-6). Let l = z - -385. Give h(l).
-12
Let j(x) = -2987 - 6*x + 2959 - 3*x. What is j(-6)?
26
Let d(x) = -x**3 - 7*x**2 + 9*x - 11. Let g(m) = m**3 - 10*m**2 + m + 11. Let r be g(5). Let z = r + 101. Calculate d(z).
-19
Let a(r) = -r**3 + 2*r**2 + 3*r - 4. Let o be a(2). Suppose -5*u + 10 = -o*s, -s - 46 = 5*u - 41. Let p(k) = -k + 2. What is p(s)?
7
Let o(s) be the first derivative of s**2/2 - 40*s + 6294. Give o(-11).
-51
Let s(n) = 60*n**2 + 3*n + 13. Let u be s(21). Let z(b) = -u + b**3 + 26535 + 2*b**2 + 7*b**3. What is z(1)?
9
Let p(w) = -w**2 + 6*w - 6. Let b = 250 + -243. Suppose 0 = -33*c - b*c + 240. Calculate p(c).
-6
Suppose 0 = 3*r - 3*f - 132, -5 = 3*f + 2*f. Let c(m) = -r + 15 + 25 + 3*m. Let g(u) = -2*u + 1. Let z(y) = -3*c(y) - 5*g(y). What is z(7)?
11
Suppose -90*u = 1090 - 370. Let r(d) = 17*d + 15. Calculate r(u).
-121
Let m = 9648 + -9653. Let h(l) be the first derivative of l**3/6 + 3*l**2 + 5*l + 3. Let k(s) be the first derivative of h(s). Give k(m).
1
Let h(p) = -34 + 12 + 10 + 10. Let v(q) = 4*q + 26. Let u(r) = 12*h(r) + v(r). Give u(-1).
-2
Let c(r) = r**2 - r + 2. Let o be c(2). Let i(j) = -6 + 4 - j**3 - 47*j**2 + j + 8*j**2 + 3*j + 42*j**2. Give i(o).
-2
Suppose -134 = -2*o - 118. Let j(u) = 7 + 42*u - 21*u - 22*u - 5 + 15. What is j(o)?
9
Let h(o) = o**2 - 10*o - 55. Suppose -3*u - 49*n + 52*n + 27 = 0, 2*u - 23 = n. What is h(u)?
1
Let b(u) = 844*u - 25. Let a(x) = 67*x - 2. Let p(h) = 74*a(h) - 6*b(h). What is p(-1)?
108
Let i(v) = -3*v**2 - 55*v + 2 + 50*v + 0. Let r be (168/(-4))/(-7) - 8. Determine i(r).
0
Let w(f) = 13*f**3 - 7*f - 14*f**3 + 7 - 5*f**2 - 4*f**2. Suppose -99*m + 101*m = l - 21, 0 = 2*l - 10. Give w(m).
-1
Let k(l) = 157*l + 1256. Let s be k(-8). Let c(f) = f**2 + 2*f + 6. Determine c(s).
6
Let u(m) = -10*m**3 - m**2 + 3*m - 2. Suppose 5*o + f = 1 - 0, -3*o - 5*f = 17. Give u(o).
-10
Let q(t) = -16*t**2 - 5*t. Let i be 10/(-5) - (-4 - -1). Let h be q(i). Let u(w) = -w**3 - 21*w**2 - w - 16. Calculate u(h).
5
Let v be 7 + (-25)/4 - (-45)/20. Let t(w) = -17*w - 27. Calculate t(v).
-78
Let g be (12/(-32))/((-132)/704). Let f(d) be the second derivative of 1/3*d**3 + d**g + 13*d + 0 - 1/6*d**4. Give f(2).
-2
Let d(t) = t**3 - 7*t**2 - 7*t - 5. Suppose 0 = -5*g + 2*b + 35 + 53, 3*g - 58 = -4*b. Let i be -4*g/(-24) - -5. Calculate d(i).
3
Let i(l) be the first derivative of -105 + 1/2*l**2 + 2*l. Calculate i(-4).
-2
Suppose -9*b = -6*b - 12. Suppose 0 = b*v - 20. Suppose 6 = 2*r - v*p, r + 3*p = -0*r + 3. Let h(z) = 2*z + 1. Determine h(r).
7
Suppose -d = 9 - 6. Let y be (d/(-2))/1*16/6. Suppose 0 = -y*s - 5*s - 9. Let q(g) = 12*g**3 - g**2 - g. Give q(s).
-12
Let j be (-167 + -2)*9*(-5)/15. Let y = j + -510. Let v(p) = 6*p + 1. Calculate v(y).
-17
Let o(j) = -13526 - 2*j**2 + 36*j + 27060 - 13523. What is o(18)?
11
Suppose -6*l - 21 + 153 = 0. Let y(g) = 2*g - 10 - 7*g**2 - l*g**3 + 6 + 21*g**3. What is y(-7)?
-18
Let b(u) = -u**2 + 6*u - 5. Let p(z) = -2*z - 6. Let v = -41 + 41. Suppose v = r - 7*r - 36. Let m be p(r). Give b(m).
-5
Let c = 20 + -26. Let w(v) = -3*v**2 - 7*v - 1. Let f(y) = y**2 + 2. Let m(i) = 2*f(i) + w(i). What is m(c)?
9
Suppose -6*h = -2*h - 4, -2*h = -4*o + 22. Let g(b) be the second derivative of -5/2*b**2 - 1/12*b**4 + 2/3*b**3 + 5 - 6*b. What is g(o)?
-17
Let k(h) = -h - 1 - 3*h + 3*h. Let j be (252/(-63))/(4/(-5)*-1). Determine k(j).
4
Let w(j) = -28*j**2 + 15*j + 25. Let k(v) = -33*v**2 + 15*v + 26. Let n(m) = -6*k(m) + 7*w(m). What is n(-6)?
1
Let n(r) = r**2 - 1. Let i(v) = 3*v**2 + 3*v - 5. Let z = 57 - 61. Let t(f) = z*n(f) + i(f). Suppose 5 + 1 = 3*a. Give t(a).
1
Let p(g) = -8*g**2 + 9*g + 3. Let i(u) = 25*u**2 - 31*u - 10. Let l(v) = 2*i(v) + 7*p(v). Let k be 3/(-7)*(1 + -8). Suppose -n + 2 = -k*n. What is l(n)?
-6
Let d(l) = -14*l - 14. Let u = 11579 - 11579. What is d(u)?
-14
Let k(x) = 27*x**3 + 108*x**2 - 111*x - 94. Let g(z) = 5*z**3 + 21*z**2 - 22*z - 19. Let f(i) = 11*g(i) - 2*k(i). What is f(-16)?
43
Let n(f) = f + 7. Let d be (-1 + 10/4)*(370 + -368). Determine n(d).
10
Let y(v) = 77*v**3 + 4*v**2 + 2*v - 1. Let x be y(-1). Let d = 73 + x. Let m(o) = -o**3 - 2*o**2 - 3*o - 3. Give m(d).
15
Let j(f) = -f**2 - 4*f. Suppose 5*q + 3*q = -40. Let x(h) = 7*h + 20. Let n be x(q). Let w = 10 + n. Calculate j(w).
-5
Suppose 0 = -5*s - 3*d - 9, 2*s + 5*d = -0*s - 15. Suppose -14*f + 0*f + 84 = s. Let t(r) = -6*r + 8. Give t(f).
-28
Suppose -22*o - 240 = -12*o. Let h be 4 + (-248)/o + 1/(-3). Let v(y) = -y**3 + 15*y**2 - 15*y + 17. Calculate v(h).
3
Let r(a) = -5*a**3 + 6*a**2 + 8*a + 24. Let c(x) = 9*x**3 - 12*x**2 - 16*x - 43. Let d(j) = -4*c(j) - 7*r(j). Let z = 793 + -786. Determine d(z).
11
Let p(f) = -5*f**2 + 8*f + 3. Let r(v) = -4*v**2 + 9*v - 5. Let a(l) = 3*p(l) - 4*r(l). Give a(5).
-6
Let z(j) = 0 - 687*j + 684*j - 5. Suppose -5*a - 18 = 2*h, a + 4*a + 26 = -4*h. What is z(a)?
1
Suppose -5*n = -2*w - 3*w + 20, 5*w - 5 = 0. Let l be 39/(-9) - (-2)/n. Let s(r) = 78*r + 61*r + 82*r + 81*r - 304*r - 3. Determine s(l).
7
Let p be ((-20)/(-18))/((-84)/(-378)). Let g(x) = -5*x - 1 - 2*x**2 + 2*x + 0*x - 14*x**3 + p*x + 4*x**3. What is g(1)?
-11
Let y(l) = 3*l - 2. Suppose -76 = -w - 235. Let t be (-38)/209 + w/33. Give y(t).
-17
Let q = -651 - -636. Let a(p) = -p**2 - 12*p + 3. Calculate a(q).
-42
Let s(u) = -u**3 - 8*u**2 - 10*u + 12. Let k be s(-6). Let p(n) = k*n - 517 + n + 512. Determine p(5).
0
Suppose k - 3 = 0, 72*k + 21 = 3*c + 73*k. Let o(s) = -10*s - 38. What is o(c)?
-98
Let n(i) be the second derivative of -7*i**3/6 + 3*i**2/2 + 10034*i. Let d = -1 + 4. What is n(d)?
-18
Let i(l) be the second derivative of l**4/6 - 3*l**2/2 + 173*l + 1. Determine i(-6).
69
Let n(y) = -y**3 - 2*y**2 + 8*y + 43. Let m be n(-4). Let o(u) = m - 93 - u**2 - 7*u + 38. What is o(-5)?
-2
Let j be (-7)/(-14)*(0 + 10). Let k(x) = 5 + 6*x - 2 - 14*x - x**2 + 1 + 3*x**2. Calculate k(j).
14
Suppose 0 = -4*y - 1 + 5. Let u(t) = 3*t**2 - 6*t - 2. Let l(n) = 3*n**3 + 64*n**2 - 128*n - 41. Let h(a) = -l(a) + 21*u(a). Calculate h(y).
-3
Let f(z) = z**2 + 9*z + 14. Let j be f(-8). Suppose -8*l + j = -82. Suppose l*h + 70 = 26. Let n(s) = -3*s - 3. Calculate n(h).
9
Let p(u) = -60*u - 306. Suppose -237*z + 226*z - 55 = 0. What is p(z)?
-6
Let s(o) = o**3 - 6*o**2 + 4*o. Suppose -269 = -33*j - 104. Calculate s(j).
-5
Let z(p) = p**3 + 91*p**2 - 136*p**2 - 129 + 28*p**2 - 31*p. Determine z(19).
4
Let v(t) = -t**3 - 6*t**2 + 19*t + 11. Suppose 22*q + 488 = 312. Determine v(q).
-13
Let z(y) = 2*y**2 + 2*y**2 + 3 - 2. Suppose 2*u + 18 = 5*c - 66, c - 22 = 3*u. Let s be 5 + (-26)/8 + 4/c. What is z(s)?
17
Let o = 85 - 76. Let c(m) = 6 - 5*m + o*m - 1 + m**2 + 4*m. Give c(-8).
5
Let d(n) = -2*n - 4. Let f(m) = -m - 4. Let x = 312 + -308. Let o(u) = x*f(u) - 3*d(u). Calculate o(-1).
-6
Let w(j) = -2*j + 1. Let z(d) = 7*d - 16. Let g(c) = 2*w(c) + z(c). Let l be (-376)/(-376)*-3*(-3 + 1). What is g(l)?
4
Let a(m) be the first derivative of -17*m**2/2 - 221*m - 6979. Calculate a(-12).
-17
Let x(j) = -3*j - j**2 + 121 + 114 - 225. Give x(-9).
-44
Let x = 44 - 42. Let p(i) = -i + 3 + 4*i**2 + i**x - 5*i - 4*i**2. Let d(w) = -w**2 + 5*w - 2. Let n(g) = -3*d(g) - 2*p(g). What is n(3)?
0
Let v(m) = m**2 - 11*m + 14. Suppose 90*j + 1158 = 139*j + 144*j. Calculate v(j).
-16
Let l(k) = -8*k**2 + 43*k - 13. Let i be l(5). Let z(j) = 3*j**3 + j**2 - 9*j + 3. What is z(i)?
13
Let x(q) = -738*q - 1471. Let u be x(-2). Let p(a) = a**2 - 13*a + 31. Determine p(u).
-9
Let s = -12509 + 12510. Let l(q) = -q. Let
|
{
"pile_set_name": "DM Mathematics"
}
|
478556?
26*n**2 + 369534*n + 4
What is the y'th term of -50799, -101529, -152187, -202779, -253311, -303789?
-y**3 + 42*y**2 - 50849*y + 9
What is the c'th term of -138520, -138841, -139162, -139483, -139804, -140125?
-321*c - 138199
What is the k'th term of -132812, -265600, -398388, -531176, -663964, -796752?
-132788*k - 24
What is the d'th term of 86650, 173316, 259988, 346666, 433350, 520040?
3*d**2 + 86657*d - 10
What is the i'th term of 398003, 1592019, 3582045, 6368081?
398005*i**2 + i - 3
What is the l'th term of -5325969, -10651942, -15977929, -21303936, -26629969?
-l**3 - l**2 - 5325963*l - 4
What is the a'th term of 332, 801, 2106, 4667, 8904, 15237, 24086, 35871?
70*a**3 - 2*a**2 - 15*a + 279
What is the n'th term of -12789, -15257, -7401, 10779, 39283, 78111, 127263?
5162*n**2 - 17954*n + 3
What is the r'th term of -156836, -156852, -156862, -156860, -156840, -156796, -156722?
r**3 - 3*r**2 - 14*r - 156820
What is the w'th term of -10443, -41666, -93669, -166452, -260015, -374358, -509481?
-10390*w**2 - 53*w
What is the y'th term of 124293, 124311, 124347, 124407, 124497?
y**3 + 3*y**2 + 2*y + 124287
What is the p'th term of -3787533, -3787091, -3786347, -3785295, -3783929, -3782243?
p**3 + 145*p**2 - 3787679
What is the d'th term of 77530562, 77530559, 77530552, 77530541?
-2*d**2 + 3*d + 77530561
What is the a'th term of 5825, 5763, 5669, 5525, 5313, 5015, 4613, 4089?
-3*a**3 + 2*a**2 - 47*a + 5873
What is the g'th term of 648364669, 1296729340, 1945094011, 2593458682?
648364671*g - 2
What is the q'th term of -4348, -4321, -4252, -4123, -3916, -3613, -3196?
3*q**3 + 3*q**2 - 3*q - 4351
What is the j'th term of -1445215, -11561717, -39020799, -92493751, -180651863, -312166425, -495708727, -739950059?
-1445215*j**3 + 3*j - 3
What is the h'th term of -229247, -229237, -229213, -229169, -229099?
h**3 + h**2 - 229249
What is the s'th term of -12401104, -12401085, -12401066, -12401047?
19*s - 12401123
What is the d'th term of -204525970, -204525975, -204525982, -204525991?
-d**2 - 2*d - 204525967
What is the y'th term of -4961, -4302, -2521, 940, 6639?
93*y**3 + 3*y**2 - y - 5056
What is the i'th term of 2977068, 5954149, 8931234, 11908323, 14885416?
2*i**2 + 2977075*i - 9
What is the t'th term of 2840744, 2840745, 2840746, 2840747, 2840748, 2840749?
t + 2840743
What is the b'th term of 971817, 1943609, 2915401, 3887193?
971792*b + 25
What is the j'th term of 5681432, 5681412, 5681392, 5681372, 5681352, 5681332?
-20*j + 5681452
What is the q'th term of -219204, -438410, -657612, -876810, -1096004, -1315194?
2*q**2 - 219212*q + 6
What is the m'th term of 68981, 68958, 68935, 68912?
-23*m + 69004
What is the f'th term of 2050, 9296, 21606, 38986, 61442, 88980?
f**3 + 2526*f**2 - 339*f - 138
What is the t'th term of -29, 84, 291, 592?
47*t**2 - 28*t - 48
What is the o'th term of -243, -398, -649, -990, -1415, -1918, -2493?
o**3 - 54*o**2 - 190
What is the l'th term of -106, -280, -482, -712?
-14*l**2 - 132*l + 40
What is the d'th term of 26608, 26502, 26320, 26062, 25728?
-38*d**2 + 8*d + 26638
What is the i'th term of -7182, -14019, -20856?
-6837*i - 345
What is the i'th term of 7212, 56421, 189998, 450129, 879000, 1518797, 2411706, 3599913?
7031*i**3 - 2*i**2 - 2*i + 185
What is the m'th term of 2348, 5701, 10048, 15389, 21724, 29053?
497*m**2 + 1862*m - 11
What is the n'th term of 6194, 6254, 6394, 6644, 7034, 7594?
5*n**3 + 10*n**2 - 5*n + 6184
What is the r'th term of 5782, 11547, 17284, 22975, 28602, 34147?
-3*r**3 + 4*r**2 + 5774*r + 7
What is the r'th term of 402, 143, -750, -2283, -4462, -7293?
-r**3 - 311*r**2 + 681*r + 33
What is the d'th term of -620554, -1241008, -1861452, -2481880, -3102286?
d**3 - d**2 - 620458*d - 96
What is the b'th term of -86862, -163972, -241082, -318192, -395302, -472412?
-77110*b - 9752
What is the y'th term of 56438046, 225752165, 507942372, 903008673, 1410951074?
y**3 + 56438038*y**2 - 2*y + 9
What is the b'th term of -148597817, -148597815, -148597813?
2*b - 148597819
What is the b'th term of 491, 2144, 5249, 10094, 16967, 26156, 37949?
48*b**3 + 438*b**2 + 3*b + 2
What is the d'th term of -446, -776, -1326, -2096, -3086, -4296, -5726?
-110*d**2 - 336
What is the d'th term of -7207, -14436, -21705, -29014, -36363?
-20*d**2 - 7169*d - 18
What is the a'th term of -90437, -180828, -270969, -360734, -449997, -538632, -626513?
21*a**3 - a**2 - 90535*a + 78
What is the a'th term of 156526, 156543, 156560, 156577?
17*a + 156509
What is the j'th term of -400759, -801530, -1202327, -1603162, -2004047, -2404994, -2806015?
-2*j**3 - j**2 - 400754*j - 2
What is the w'th term of -414274850, -414274849, -414274848, -414274847, -414274846, -414274845?
w - 414274851
What is the d'th term of -6608, -13487, -20366, -27245?
-6879*d + 271
What is the q'th term of -45604, -364911, -1231610, -2919397, -5701968, -9853019, -15646246?
-45616*q**3 + 5*q + 7
What is the d'th term of -10141, -79654, -268329, -635746, -1241485?
-9930*d**3 - d**2 - 210
What is the b'th term of 152795, 149141, 143059, 134555, 123635, 110305?
b**3 - 1220*b**2 - b + 154015
What is the q'th term of -843403, -1686819, -2530229, -3373627, -4217007, -5060363, -5903689, -6746979?
q**3 - 3*q**2 - 843414*q + 13
What is the d'th term of -28651363, -28651362, -28651361, -28651360?
d - 28651364
What is the a'th term of -2145, -9020, -20615, -36918, -57917?
2*a**3 - 2372*a**2 + 227*a - 2
What is the l'th term of -1163, -1272, -1493, -1832, -2295, -2888, -3617?
-l**3 - 50*l**2 + 48*l - 1160
What is the b'th term of 2277296, 2277301, 2277306, 2277311, 2277316, 2277321?
5*b + 2277291
What is the b'th term of -8437017, -16874028, -25311037, -33748044, -42185049?
b**2 - 8437014*b - 4
What is the k'th term of 85732, 342812, 771282, 1371142?
85695*k**2 - 5*k + 42
What is the n'th term of 1792, 1483, 1008, 373, -416, -1353?
n**3 - 89*n**2 - 49*n + 1929
What is the b'th term of 2438, 7445, 11588, 11429, 3530?
-573*b**3 + 3006*b**2 + 5
What is the m'th term of -7634, -5957, -4280, -2603, -926?
1677*m - 9311
What is the s'th term of -39010, -39050, -39090?
-40*s - 38970
What is the z'th term of 43449, 43546, 43801, 44292, 45097?
13*z**3 + z**2 + 3*z + 43432
What is the d'th term of 131, 52, -237, -760, -1541?
-4*d**3 - 81*d**2 + 192*d + 24
What is the d'th term of -6621569, -6621560, -6621545, -6621524, -6621497?
3*d**2 - 6621572
What is the o'th term of 5337, 10947, 20301, 33399, 50241, 70827?
1872*o**2 - 6*o + 3471
What is the l'th term of -17835, -17839, -17853, -17883, -17935?
-l**3 + l**2 - 17835
What is the z'th term of 6285, 24849, 55795, 99129, 154857, 222985, 303519, 396465?
z**3 + 6185*z**2 + 2*z + 97
What is the k'th term of 17133, 65617, 145455, 256647, 399193, 573093, 778347?
15677*k**2 + 1453*k + 3
What is the z'th term of 210078, 840343, 1890782, 3361395, 5252182?
210087*z**2 + 4*z - 13
What is the m'th term of -11680793, -46723185, -105127173, -186892757, -292019937, -420508713?
-11680798*m**2 + 2*m + 3
What is the s'th term of -39275, -78623, -118057, -157583, -197207, -236935, -276773, -316727?
-s**3 - 37*s**2 - 39230*s - 7
What is the t'th term of -17027750, -34055492, -51083234, -68110976?
-17027742*t - 8
What is the z'th term of -8555866, -8555864, -8555862, -8555860, -8555858, -8555856?
2*z - 8555868
What is the u'th term of -4423, -8946, -13443, -17914, -22359, -26778, -31171?
13*u**2 - 4562*u + 126
What is the s'th term of -117, -2127, -7935, -19437, -38529, -67107, -107067, -160305?
-316*s**3 - 3*s**2 + 211*s - 9
What is the g'th term of -112, -741, -2396, -5587, -10824, -18617, -29476, -43911?
-85*g**3 - 3*g**2 - 25*g + 1
What is the x'th term of 16385, 64272, 144085, 255824?
15963*x**2 - 2*x + 424
What is the b'th term of 43687, 44121, 44555, 44989, 45423, 45857?
434*b + 43253
What is the c'th term of -10991, -21429, -31859, -42281, -52695?
4*c**2 - 10450*c - 545
What is the v'th term of -2329353, -2329270, -2329173, -2329056, -2328913, -2328738?
v**3 + v**2 + 73*v - 2329428
What is the z'th term of -42480, -85047, -127686, -170397, -213180?
-36*z**2 - 42459*z + 15
What is the s'th term of 30013591, 30013583, 30013571, 30013555, 30013535?
-2*s**2 - 2*s + 30013595
What is the h'th term of 2310, 5685, 10034, 15357, 21654?
487*h**2 + 1914*
|
{
"pile_set_name": "DM Mathematics"
}
|
*3 + 9*g**2 + 6*g - 7. Let j(r) = -7*r**3 + 9*r**2 + 5*r - 8. Let k(s) = 5*j(s) - 6*z(s). Calculate k(10).
-8
Let c(d) = 5*d - 49. Let h(p) = p - 12. Let f(t) = -2*c(t) + 9*h(t). Determine f(0).
-10
Suppose 3*d = 4*f - 22, -10*d = -14*d - 4*f + 8. Let z(a) = -a**3 + 2*a**2 - 3*a - 3. Give z(d).
19
Let f(s) = -s**2 + 2*s + 2. Let j(k) be the second derivative of -5*k**4/12 + 3*k**3/2 + 9*k**2/2 + 3*k. Let w(b) = 9*f(b) - 2*j(b). Calculate w(-2).
4
Let b(o) be the third derivative of o**4/24 - o**3/2 - o**2. Let c(n) = n**2 - 3*n - 23. Let i be c(7). Give b(i).
2
Let k be (0 - 1)*(0 - 0). Suppose k = -7*j + 2*j - 30. Let h(n) = -2*n - 7. Calculate h(j).
5
Let k(c) = c**3 - c**2 - 2*c + 2. Let t be k(2). Let m = t - 1. Suppose 2*w - 1 = 3*b, -m = -4*w - 5*b - 10. Let r(n) = n**2 + n + 1. Determine r(w).
1
Let f(r) be the first derivative of -7*r + 7*r + 0 - 2 + r**2. Determine f(2).
4
Suppose -4*y - 13 = u, -5*y + 6 - 1 = -3*u. Let l = 0 + 0. Let h(q) = l - 3*q**2 - q + 0*q - 2*q - 3. What is h(y)?
-9
Let c be 6*(-3 + 2)*-1. Let b(l) = -5*l**3 - 6*l - 13. Let a(q) = 11*q**3 - q**2 + 13*q + 27. Let n(h) = -6*a(h) - 13*b(h). What is n(c)?
7
Let l(v) = 57*v - 28*v - 1 + v**2 - 28*v. Determine l(-2).
1
Let a(l) be the first derivative of -11*l**3/3 - l - 11. Calculate a(-1).
-12
Suppose 0 = -2*i - c + 1, -2*i - 2*i + 17 = 5*c. Let q(t) = -2*t**2 - t - 1. Determine q(i).
-7
Suppose 3*u - 4 = 8. Suppose 3*c - 9 = 0, 7*c = -u*z + 2*c + 27. Let s(d) = -d**3 + 2*d**2 + 4. Calculate s(z).
-5
Let p(w) = w + w**3 - 4*w**2 - 153 + 153. Calculate p(3).
-6
Let r = -16 + 22. Let o(f) = f**3 - 6*f**2 + f - 8. Calculate o(r).
-2
Let t(n) be the third derivative of n**5/120 + n**4/4 + n**3 - 5*n**2. Let m(o) be the first derivative of t(o). Determine m(-6).
0
Let q(n) = n + 5. Let m be q(0). Let y(o) = -5 - o**3 + m*o**2 - 2*o - 5*o**2 + 5*o**2. Suppose 89 - 85 = h. What is y(h)?
3
Let y(z) = -5*z - 2. Let n = 7 - 2. Let j(p) = -1 + n*p - 4*p + 2 - 2*p. Let s(q) = 2*j(q) + y(q). What is s(-1)?
7
Let z be 4/6 + 174/9. Suppose -2*h = -2*n - 52, z = -0*h + h - 4*n. Let x be (-4)/(-6) + h/(-6). Let b(y) = -y - 3. Calculate b(x).
1
Let z(r) = -r + 1. Let i = 10 + -15. Let m = i + 5. Calculate z(m).
1
Let x = 4 - 4. Let y(c) be the second derivative of 0 + 11/2*c**2 - 1/6*c**3 - c. Determine y(x).
11
Let o(j) be the third derivative of -j**4/12 - 2*j**3/3 - 2*j**2. What is o(-5)?
6
Suppose -o = 2*o + 33. Let p = -7 - o. Suppose -2*b - 26 = p*w, -4*w - 3*b - 33 = -2. Let d(r) = -r**3 - 4*r**2 - 2*r - 6. Give d(w).
2
Suppose r - 2*r = -5*o, 4*r = 5*o. Let f = 0 - o. Let v(b) = -b + f + 0 - 1. Calculate v(2).
-3
Let b(v) = 3*v - 3. Suppose 4*w - 16 = 2*w + 3*f, -3*f = -5*w + 22. Suppose 3*z + 3 = -2*j, 0 = j - 4*j + w*z - 11. Give b(j).
-12
Let j(i) be the third derivative of i**5/15 + i**4/12 - i**2. Let o be (5 - (2 - -1))*-1. Determine j(o).
12
Let w = -6 + 8. Let z(g) = 4 + 0*g - w*g + 1. What is z(4)?
-3
Let u(f) = -4*f + f**2 + 3*f**2 - 5 - 3*f**2. Let m(b) = -b**3 + 6*b**2 - 3*b - 6. Let j be m(5). What is u(j)?
-5
Let v be 2/(-4) - 18/4. Let s be 12/2*(-2)/(-6). Let p(u) = -3 + u**3 + 3*u**s + 9*u - 8*u + 2*u**2. What is p(v)?
-8
Let h(c) = -c**3 - 6*c**2 - 6*c - 2. Suppose 19*q = 15*q - 20. Determine h(q).
3
Let n(r) be the second derivative of r**3/6 + 7*r**2/2 + 125*r. Let a = -2 - -3. Let g = -1 + a. Give n(g).
7
Let v(q) = 49*q - 25*q - 26*q + 1 - 2. What is v(5)?
-11
Let c(d) be the third derivative of d**5/20 + d**4/24 - d**2. Let u(j) = j - 4. Let l be u(5). Let g be l*(-1 - -4) + -2. What is c(g)?
4
Let j(h) = -5 - 2*h - 11*h + 10*h. Give j(-4).
7
Let b(q) be the second derivative of q**4/6 - q**3/3 + 3*q**2/2 - 11*q. What is b(2)?
7
Let h(u) = 14*u + 8. Let f(a) = -5*a - 3. Let s(r) = -11*f(r) - 4*h(r). Let z = -6 + 17. Let v(k) = -k**3 + 10*k**2 + 12*k - 16. Let n be v(z). Calculate s(n).
6
Let w be (5/(-30)*2)/((-1)/9). Let y(p) be the third derivative of -p**4/12 + p**3/6 - p**2. Determine y(w).
-5
Let d(o) = o**3 + 3*o**2 + 2*o + 1. Let j be d(-3). Let b = 1 + j. Let v(h) = -h**3 - 4*h**2 + 2*h - 2. Give v(b).
-10
Let s = -4 - -7. Let t(m) be the third derivative of -1/8*m**4 + 0*m**s + 0*m + 1/15*m**5 + m**2 + 0 - 1/120*m**6. Give t(3).
0
Let d be (-10)/4*(-20)/25. Let z(a) = d*a**2 - 1 - 4*a**2 - 3*a + a**2. Give z(-4).
-5
Let u(x) = -x**2 + 8*x - 9. Let s be u(7). Let k(n) = 8*n + 6. Let f(z) = z**2 - z - 1. Let c(p) = -4*f(p) - k(p). Calculate c(s).
-10
Let x(d) = -d**2 + d + 1. Let u(j) = 2*j**3 - j**2 - 4*j + 3. Let t be u(2). Let m = t - 12. Let v be 1/5 + (-9)/m. Give x(v).
-1
Let d(o) = -o**3 - 4*o**2 + o - 5. Suppose 0 = h, -6*h - 12 = 4*m - h. Let q be -6 + -1 + (0 - m). What is d(q)?
-9
Suppose -2*o + 2 = 2*r - 2, -2 = -o + 4*r. Suppose q - 5*q + o*a = -6, 2*a - 10 = 0. Let d(x) = -x + 4. Calculate d(q).
0
Let r(i) = i**3 + 1. Let f(z) = z**3 + 2*z**2 - 1. Let b(v) = -f(v) + 2*r(v). What is b(3)?
12
Let n(a) be the second derivative of -a**3/6 - 4*a**2 + a. Suppose 5*b + 11 = -19. What is n(b)?
-2
Let r(i) = 2*i - i + 1 + 1. Let a be r(3). Let u(s) = 3*s - 7. Let o(k) = 6*k - 14. Let f(b) = -3*o(b) + 7*u(b). What is f(a)?
8
Let w(g) = g**2 - 7*g + 5. Suppose 0 = -0*u + 4*u. Let d = -26 + 46. Suppose 7*o = 3*o + 3*h + 25, u = 2*o - 4*h - d. Calculate w(o).
-7
Suppose 9 = 5*w - 1. Let n(c) = -2*c**2 + 3*c**3 - c - w*c**3 + c**2. Let r(l) = 3*l**3 - 8*l**2 - 5*l + 2. Let y(f) = -5*n(f) + r(f). Calculate y(-2).
6
Let s be (-6)/((-57)/66 - -1). Let z be 4/(-6) - s/(-6). Let x = -6 - z. Let g(d) = -2*d + 3. Determine g(x).
-1
Let a(u) = -4*u**2. Suppose -10*q - 24 = -6*q. Let w be -2*(-6)/(-4) - 2. Let o = w - q. Calculate a(o).
-4
Let r(h) = -6*h**2 + 7*h + 4. Let p(m) = m**2 - m - 1. Let a(j) = -5*p(j) - r(j). Calculate a(1).
0
Let y(q) be the second derivative of q**6/72 + q**5/120 + q**3/2 - 4*q. Let z(i) be the second derivative of y(i). What is z(1)?
6
Let q = 6 + -7. Let a be (-6)/4 + (-6)/(-4). Let t(w) = 0*w + 1 - w + 3*w + a*w. Determine t(q).
-1
Let t = 0 - -5. Suppose -d = -0 - t. Let n(g) = -g**2 + 4*g. Give n(d).
-5
Let p(r) be the third derivative of r**4/2 - r**3/6 - r**2. Calculate p(1).
11
Let l(q) = 5*q**3 + q**2 - 6*q + 2. Let w(h) = 9*h**3 + 3*h**2 - 12*h + 3. Let f(k) = -11*l(k) + 6*w(k). What is f(5)?
16
Let j(l) = -4*l - 1. Let p(n) = -n**3 - 4*n**2 + 12*n + 7. Let d be p(-6). Suppose -r + d - 5 = 0. Calculate j(r).
-9
Let a(p) be the first derivative of p**4/4 + 2*p**3/3 + p**2/2 + p + 1. Let m = 6 - 8. What is a(m)?
-1
Suppose 0 = -2*j + 5*f + 30, -j = -2*j - f + 1. Let n(w) = j*w + 4 - 3*w - 3*w - w. Calculate n(5).
-6
Let b(z) = -6*z**2 - 4 + 0 - z + 5*z**2. Calculate b(0).
-4
Let h(j) be the first derivative of -3*j**4/4 - 4*j**3 + 5*j**2 + 6*j + 3. Let k(b) = b**3 + 6*b**2 - 5*b - 3. Let n(t) = 2*h(t) + 5*k(t). Determine n(5).
-3
Let v be 20*(3 - 10/4). Let u = -15 + v. Let r be (6/u)/(2/5). Let q(k) = k**3 + 5*k**2 + 3*k - 4. Calculate q(r).
5
Let k(m) = 19*m - 36. Let q(w) = 7*w - 12. Let x(d) = -3*k(d) + 8*q(d). Determine x(6).
6
Let f = 8 + 4. Suppose f = 2*p + 2. Let t(x) = -4*x**2 - 3*x - x**2 + 2*x**2 + 2*x**2 + p. What is t(-5)?
-5
Let a(g) be the second derivative of -g**5/20 - 2*g**4/3 - 3*g**3/2 - 4*g**2 + 17*g. Determine a(-7).
6
Let k(o) = -3*o - 1. Let j(x) = x**3 + 5*x**2 + 4*x - 3. Let m be j(-4). Let w be (-10)/30 + (-7)/m. What is k(w)?
-7
Let r(j) = 3*j - 2*j**2 + 0*j - 4*j - 6*j**3 - 4*j**3. Give r(-1).
9
Let r be 14 + (4 - (-2)/(-1)). Suppose 0 = 4*c + r. Let q(x) = -x**3 - 5*x**2 - 6*x. Give q(c).
8
Let m be 1 - -4 - (0 - 0). Let h(c) = 5*c**3 - 6 + 5 + 5*c**2 - 6*c**3. Give h(m).
-1
Let b be ((-28)/(-2))/((-6)/(-3)). Let g = -2 + b. Let d(z) = -1 - g + 1 + z. Calculate d(5).
0
Let u be (-3)/6*-4*2. Suppose -u*l + 10 = l. Let k(m) = m**3 - 2*m**2 - m + 1. Determine k(l).
-1
Let v(b) = -b**2 - 3*b - 1. Let d = -11 - -9. What is v(d)?
1
Let r(w) = -w**2 - 6*w. Suppose 0 = -t + 3*t + 12. Let d be r(t). Let j(g) = 3*g**2 - 8 - 4*g**2 - g**3 - g + 0*g**2. Determine j(d).
-8
Let h be 0/(1 - 4 - -4). Let r(q) = -q - 10. Suppose -2*z - 21 = -7. Let n(c) = c + 11. Let t(p) = z*r(p) - 6*n(p). Give t(h).
4
Let v(g) = -5*g**3 - 2*g**2 + 1. Let a = 3 - 5. Let l be -1 + a*6/3. Let j(b) = -b**2 - 6*b - 4.
|
{
"pile_set_name": "DM Mathematics"
}
|
What is next in 7329, 7325, 7321?
7317
What is the next term in -3271, -6454, -9637?
-12820
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1075687
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-40915
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-1221303
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7578
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-3519693
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14335
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58314
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275990
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-290
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574583
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-54800
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-92923
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2137
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327586
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-70351
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40442
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-3312
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-14626
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-225932
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1580252
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-6831
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6825237
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-12984
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198
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720445
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23209
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-75715
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-2588
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1206
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126579
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-170181
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9895
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2204
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-4241
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3636
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-1361020
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53146
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168
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-2621
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-429
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-485931
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901
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99846
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-7599
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1904
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1454
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-11542
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48435
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-251
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-202082
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-9698
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132763
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3077
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-951331
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-21719422
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1973
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7601
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23939
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94541
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5074
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4313
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-3412
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What comes next: 57899, 57877, 57855, 57833, 57811?
57789
What is next in -669, -1277, -1885, -2493, -3101, -3709?
-4317
What comes next: -5895, -11803, -17725, -23661, -29611, -35575?
-41553
What comes next: -509, -2243, -5133, -9179, -14381?
-20739
What is the next term in 9980, 9994, 10022, 10070, 10144, 10250, 10394, 10582?
10820
What is the next term in -902, -2625, -5174, -8549?
-12750
What is the next term in 515, 1085, 1639, 2171, 2675, 3145?
3575
What comes next: -5572, -5547, -5522, -5497?
-5472
What is next in 117, 156, 141, 72, -51?
-228
What is next in -21861, -43692, -65535, -87396, -109281?
-131196
What is next in 95616, 191222, 286828, 382434, 478040?
573646
What is next in 306, 2382, 8022, 19008, 37122, 64146, 101862?
152052
What is the next term in 3572, 3700, 3828, 3956, 4084?
4212
What is the next term in 59975, 59966, 59957, 59948, 59939, 59930?
59921
What is next in 35134, 35137, 35140, 35143, 35146, 35149?
35152
What is next in -2158, -2158, -2170, -2200, -2254, -2338, -2458, -2620?
-2830
What is the next term in -2115, -8467, -19061, -33903, -52999?
-76355
What is next in 3045, 3078, 3111, 3144, 3177, 3210?
3243
What is the next term in -64049, -64048, -64047?
-64046
What comes next: -56, 388, 1818, 4726, 9604?
16944
What is the next term in -1734, -1694, -1616, -1488, -1298, -1034?
-684
What is next in 610, 655, 696, 733, 766?
795
What is next in 3795, 15226, 34285, 60978, 95311, 137290, 186921?
244210
What is the next term in 794, 1585, 2376, 3167, 3958, 4749?
5540
What is next in -117, -139, -115, -21, 167, 473?
921
What is next in -2324, -2330, -2340, -2354, -2372, -2394?
-2420
What comes next: -5623, -5425, -5229, -5035, -4843, -4653?
-4465
What is next in 1764, 3549, 5322, 7077, 8808?
10509
What is next in 892, 1756, 2618, 3478, 4336, 5192, 6046?
6898
What is the next term in 3002, 6076, 9232, 12470, 15790, 19192, 22676?
26242
What is next in 145, 234, 323, 412, 501, 590?
679
What is next in 32536, 32523, 32502, 32473?
32436
What is next in 412, 1676, 3782, 6730?
10520
What comes next: 612228, 612215, 612198, 612177, 612152, 612123?
612090
What is the next term in -7047, -14096, -21161, -28248, -35363?
-42512
What is the next term in -471, -716, -1123, -1692, -2423?
-3316
What is the next term in -1120, -2259, -3444, -4699, -6048, -7515?
-9124
What comes next: 420, 591, 7
|
{
"pile_set_name": "DM Mathematics"
}
|
, a, h
Suppose -142 = 24*d + 506. Put d, -2, -5, 5 in increasing order.
d, -5, -2, 5
Suppose -3*o = -3*s - 45, -2*o = 3*s - 27 - 8. Suppose 17*y + 182 = -107. Let d = o + y. Put 5, 2, d in descending order.
5, 2, d
Let f be 3 - (-3 + 99/18). Put -35, f, -10 in ascending order.
-35, -10, f
Suppose -3*g = -g - 2*h + 32, h + 49 = -4*g. Let j = -11 - g. Put 4, -5, j in decreasing order.
4, j, -5
Let v = 0.53 - 14.13. Let u = v - -9.6. Sort -2, 2/37, u, 0.
u, -2, 0, 2/37
Let b = -1.987 + -0.013. Let s = -41.3 + 41. Sort -0.4, s, b, 4.
b, -0.4, s, 4
Suppose -i + 0*i = 0. Let j = 122 - 125. Put j, 5, i in increasing order.
j, i, 5
Let w be 3 + (4 - 3) + 1. Suppose -2 = -4*g + 2*l, -4*l = g - 2 + 15. Put -3, g, 1, w in increasing order.
-3, g, 1, w
Let u be -6 + 6/4*2. Let g(f) = 2*f + 14. Let w be g(-10). Let s be (-2)/w - 7/12. Put s, u, -2 in decreasing order.
s, -2, u
Let o = 1.3 + -1. Let u = o - -0.7. Let f = -6.3 + 6. Sort f, u, -1/6 in increasing order.
f, -1/6, u
Suppose -17*h + 3 = -48. Sort -4, h, 5 in increasing order.
-4, h, 5
Let w = -10 - 3. Let u = 17 + w. Put -3/7, u, 0.09 in descending order.
u, 0.09, -3/7
Let u(x) = 24*x + 1375. Let l be u(-57). Put 2, -2, l, 6 in descending order.
l, 6, 2, -2
Let t = -7 + 13. Let v = 16 + -6. Suppose 5*i - v = -0. Sort i, 1, t in descending order.
t, i, 1
Let l = -10 + 13. Suppose -3 = -l*f, -3*t = -t - 2*f + 2. Suppose 5*v = -8 - 7. Put v, 1, t in ascending order.
v, t, 1
Let l = -192 - -187. Let v(a) = a - 1. Let y be v(1). Sort l, -1, 5, y in descending order.
5, y, -1, l
Let k(m) = m - m - m + 0*m - 1. Let z be k(-4). Let r be 3/(-2)*(-136)/(-51). Put -1, z, r in descending order.
z, -1, r
Let q = -0.2 + 0. Let l = 0.4 + q. Let j = 18 - 16. Put l, -0.5, j in descending order.
j, l, -0.5
Let q = -32 + 60. Let r = -23 + q. Let o = 2.4 + -2. Sort r, -3/8, o.
-3/8, o, r
Suppose 5*t = 4*c + 318, 2*t - 5*c + 57 = 191. Put 11, 0, t, 1 in decreasing order.
t, 11, 1, 0
Suppose -2*p = 2*m, -5*m = 3*p + p - 5. Suppose m*x - 16 + 11 = 0. Suppose 3*w + 5*l = 19, w = 3*l - 1 - 2. Sort 0, w, x in decreasing order.
w, x, 0
Let a(r) = 5 + r**2 + 4 - 5. Let o be a(0). Let g be (o - 5)*(2 - -1). Sort g, 3, -2 in decreasing order.
3, -2, g
Let u = -2 + -1. Let f be 845/5577 + (-1 - (-2)/3). Put u, -2/31, f, 3 in decreasing order.
3, -2/31, f, u
Let p be (1 - -3) + (-2 - 3). Suppose -40 = -3*k + 95. Let s be 6/k*(-5)/4. Put p, s, -2/5 in descending order.
s, -2/5, p
Suppose 19 = -3*s + 5*g - 1, 0 = -4*s + 3*g - 12. Put -4, -1, 3, s in ascending order.
-4, -1, s, 3
Let r be 4*((-3 - -1) + -9)*4. Sort r, 3, -3.
r, -3, 3
Let p = -49.12 + 50. Let t = -144 - -144.12. Let o = t + p. Sort -0.1, o, -5 in descending order.
o, -0.1, -5
Let v = 1.99 + 0.01. Let l = 0.5 - 0.6. Let c = 0.1 - l. Put c, -0.5, v in decreasing order.
v, c, -0.5
Let d = -15 + 17. Suppose -d*g + 4*x = 30, -5*g - 25 - 5 = -x. Sort g, -2, 2 in decreasing order.
2, -2, g
Let r = -22 + 20. Let i be 5 - 9 - -8 - (r - -4). Let a be 0 + -1 + -2 + 0. Sort i, a, -1 in increasing order.
a, -1, i
Let k(o) = -o**2 + 11*o - 7. Let f be k(10). Suppose -x + f*x = 6. Suppose -2*l + 3*l = -x. Put -0.4, 5, l in descending order.
5, -0.4, l
Suppose 1 = 57*j - 113. Sort 1/5, j, 3, 8/9.
1/5, 8/9, j, 3
Let t = 0 - -0.05. Let o = t + 4.95. Let f be 11 - 81/(-45) - 13. Put f, 0.2, o in ascending order.
f, 0.2, o
Let d = 572.5 - 572. Sort d, -2/7, 2/27, -0.1 in ascending order.
-2/7, -0.1, 2/27, d
Suppose 0 = -62*x + 64*x. Suppose -v + 7 = -2*o + 2, 2*v - 3*o - 7 = x. Sort 5, v, 2 in decreasing order.
5, 2, v
Let a be -2 + (-4 - -4 - 2). Let k be a/(1/9*-3). Let q be (1/(-3))/(2/k). Put q, -6, -4 in ascending order.
-6, -4, q
Suppose -20 + 1 = j - 5*k, 4*k - 18 = -2*j. Let v = 312 + -326.9. Let u = 9.9 + v. Sort j, -1, u in ascending order.
u, -1, j
Let s(c) = 72*c + 76. Let z be s(-1). Let a be (6/(-4) - -1)*8. Put a, -2, z, 3 in increasing order.
a, -2, 3, z
Let s be -4 - (1 + -2) - -10. Let i(x) = 3*x - 49. Let j be i(17). Put s, -5, 5, j in decreasing order.
s, 5, j, -5
Let l = 0.6 + -0.2. Let s be 4/(14/(-21)*-9). Let n = -13.97 + 14. Put n, l, s in decreasing order.
s, l, n
Let i(t) = 10*t**2 + t. Let v be i(-1). Let d = -43 + 46. Suppose -3*o = -6*m + 4*m + v, m = -d*o - 18. Put 1, 4, o in increasing order.
o, 1, 4
Let c be (-46)/115*(1 - -29)/(-3). Put 3, 2, c, -278 in decreasing order.
c, 3, 2, -278
Let d be (0 + -1)*(-1 + 4). Put -2, d, 4/9, 74 in decreasing order.
74, 4/9, -2, d
Let r = 561 + -560. Put -5, -34, r, -2 in increasing order.
-34, -5, -2, r
Suppose -4*p - 5*o = -3*o - 4, -p - 3*o - 4 = 0. Suppose -17*y + 14*y + 129 = 0. Sort -2, p, y, 0 in decreasing order.
y, p, 0, -2
Suppose 0 = -s + 4*n - 4, n = 2*s + s + 1. Suppose s = -2*z + 3*p + 8, -2*p = -5*z + 5 + 15. Let b = 0.36 + -0.16. Put b, z, 2/7 in descending order.
z, 2/7, b
Suppose -1 = -2*p + i - 10, 0 = -3*i + 15. Sort 55, -3, p, 2 in increasing order.
-3, p, 2, 55
Let g be (-80)/15*((-14)/4 - -2). Let v(a) = 5*a - 38. Let l be v(g). Put -1, -3, -5, l in increasing order.
-5, -3, -1, l
Suppose 0 = 4*k - 0*k. Suppose 57*g = 51*g + 150. Suppose k = -5*d - 5*t + g, -3*d - 2*t + t + 13 = 0. Put 2, d, 0 in descending order.
d, 2, 0
Let p = -25 + 32. Suppose -p*y - 6 = -6*y. Sort 0, y, 4 in increasing order.
y, 0, 4
Suppose -3*k + 2*k - 11 = 4*g, -3*k = -5*g - 18. Let u be -1 + 3 + k + -9. Put 0, 2, u, 4 in ascending order.
u, 0, 2, 4
Let m = 426 - 326. Sort -5, m, 5/2 in decreasing order.
m, 5/2, -5
Let l = -13 - -28. Let z(y) = -21*y - 5 - l*y + 37*y. Let g be z(3). Put g, -3, 1 in increasing order.
-3, g, 1
Let q(x) = x**2 + 7*x + 12. Let f be q(-4). Sort 0.3, f, 1, -4 in descending order.
1, 0.3, f, -4
Let x(g) = g**3 - 4*g**2 + 2*g + 1. Let b be x(3). Let d = 4 + b. Sort d, 6, 5.
d, 5, 6
Let a = 0.356 - -0.144. Put -0.3, -3, 12/17, a in increasing order.
-3, -0.3, a, 12/17
Let p be 4/100*40/4. Sort -3, p, 1.1, 0 in ascending order.
-3, 0, p, 1.1
Suppose -y = 5*p + 5 + 12, -5*y + 5*p = -5. Suppose -5*r = 5*g + 15, 3*r - 2*r + 5*g = 1. Sort 8, r, y in descending order.
8, y, r
Let g = 12 + -12. Let t be (-2 - g)/(8/(-24)). Suppose -13 = -3*q - 1. Put -3, q, t in ascending order.
-3, q, t
Suppose 161 = 4*r + 393. Let n = 71 + r. Let i = 59/42 + 2/21. Put i, n, 1 in ascending order.
1, i, n
Let o = -4.73 + 4.33. Put -0.09, 2/5, -11, o in decreasing order.
2/5, -0.09, o, -11
Let i = 70 + -91. Let j = -25 - i. Put 1, j, 0 in ascending order.
j, 0, 1
Let d = -1878 + 1883. Sort 2, d, -59 in increasing order.
-59, 2, d
Let x(z) = -z**2 - 4*z + 5. Let p be x(-5). Let t = 5 + -3. Put -2, t, p in descending order.
t, p, -2
Let x = 12 - 7. Let q(h) = -h**3 + 4*h**2 - h - 5. Let g be q(3). Let n be (8 - 9)*(g - 1). Sort -4, n, x.
-4, n, x
Suppose 4*s = -0*s + 16. Suppose s*z - 124 + 18 = -3*c, -80 = -3*z - 2*c. Sort 4, -4, 3, z in ascending order.
-4, 3, 4, z
Suppose 10*z - 132 = -142. Sort z, -17, -3, 2.
-17, -3, z, 2
Let v(b) = 8*b - 3. Let n be v(2). Let g = 275 + -290. Let k = g + n. Put 2, 14, k in ascending order.
k, 2, 14
Let j = -24 - -18. Let q = j - -10. Sort 1/9, -6, q in decreasing order.
q, 1/9, -6
Let f = -28 + 39. Suppose f + 4 = 4*p - 3*u, -3*p = 3*u + 15. Suppose p = -g - 0*g. Sort 4, g, -3.
-3, g, 4
Let t = 823 - 822. Sort 0, -11, t, 5 in increasing order.
-11, 0, t, 5
Let y(l) = -l - 2. Let f = -10 + 15. Let r be 1/(-3)*-3 - f. Let c be y(r). Put -0.1, 3, c in decreasing order.
3, c, -0.1
Let i = 187 + -183. Put -2, i, 8, -5 in increasing order.
-5, -2, i, 8
Let l = -777 - -782. Put l, -39, 0.06 in descending order.
l, 0.06, -39
Suppose -27 = -5*v + 5*c + 3, 3*c + 11 = -4*v. Suppose x - v = 0, -143 - 7 = t - 2*x. Let z = t + 1626/11. Sort 1/5, z, 3/4 in ascending order.
z, 1/5, 3/4
Let g = -11 + 3. Let x = 0.0641 + 0.2359. Put 0, g, -4/3, x in increasing order.
g, -4/3, 0, x
Suppose -13 + 19 = 5*j - 3*b, 5*j = 2*b + 4. Put j, 9, -3 in decreasing order.
9, j, -3
Let q = 2391/7 - 341. Sort 1/9, 2, q, 3/8 in increasing order.
1/9, 3/8, q, 2
Let a = 0.45 + -37.45. Let c = -34 - a. Put c, -3, 1, 0.5 in ascending order.
-3, 0.5, 1, c
Let j = -0.3 - -0.2. Let k = 0.4 + j. Let l(h) = 267*h + 1065. Let i be l(-4). Sort k, i, -3/4.
i, -3/4, k
Suppose d = 3*p - p + 5, 4 = -2*p. Let l be (-234)/(-546)
|
{
"pile_set_name": "DM Mathematics"
}
|
= -12 + 17. Let h = 58 + -59. Let t = 0.0756 + -0.0256. What is the third smallest value in h, j, t, 4?
4
Let d = -0.1992 - -5.1992. Which is the third biggest value? (a) 174 (b) d (c) 3
c
Let s be (2/(-3))/((-30)/(-585)). Let g = s - -11. Let l = 8 + -5. What is the second biggest value in l, g, 4, -5/6?
l
Let j = -1498.3 + 1260.3. Which is the third biggest value? (a) -2/7 (b) 5 (c) j
c
Let v = -22.8 - -22.99. Let o = v + -0.29. Which is the third biggest value? (a) 0.081 (b) 2 (c) o
c
Let v(l) = 5*l**2 + 41*l - 34. Let r = 198 + -207. Let y be v(r). Which is the second smallest value? (a) -2/17 (b) y (c) 11
b
Let u = 360 + -363.51. Let w = -614 + 613.51. Let k = u + w. Which is the smallest value? (a) -1 (b) -0.1 (c) k
c
Let k = 5.32 + -8.365. Let j = 0.045 + k. Which is the second smallest value? (a) -1/14 (b) 0 (c) j
a
Let i(x) = -x**3 + 8*x**2 - 6*x - 11. Let r be i(7). Let p = 191 + -209.4. Let q = -18 - p. Which is the biggest value? (a) r (b) q (c) -2/39
b
Let c = -9804 - -9805. What is the biggest value in -1, 33.34, c, -2?
33.34
Let t = -101/20 - -21/4. Let s = 471 - 660. Let l be (-9)/(s/(-14)) - 7/12. Which is the smallest value? (a) 1 (b) l (c) t
b
Let k = -1795.1 + 1565. Let i = 230 + k. What is the smallest value in -0.03, i, -4, -3?
-4
Let f be ((-9)/(-18))/(4/16) - (0 - 0). Which is the fourth biggest value? (a) 5 (b) -32 (c) f (d) -62
d
Let s = -75 - -77. Suppose -3*v + s*h + 3*h = 6, -v + 3*h - 2 = 0. Let i = -90/1343 + -4/79. Which is the third biggest value? (a) i (b) v (c) 1/8
b
Let l = -24225 + 24230. Which is the second biggest value? (a) l (b) -5 (c) 2 (d) -0.388
c
Let t = -1152 - -1151.8274. Let w = 0.0274 - t. Let m = -0.5 - -0.9. What is the third biggest value in 0.7, w, m?
w
Let v = 14.4 - 14.45. Let y = -10 - -10. Let n be 0 - (y + 1 - (3 + -1)). Which is the second smallest value? (a) -4 (b) 0.2 (c) n (d) v
d
Suppose k + 6*h + 4 = 3*h, 4*h = 0. Let x = 283.72 + -271. Let t = -0.28 - x. Which is the biggest value? (a) 4 (b) k (c) 3 (d) t
a
Let d = -6141.1 + 6141. What is the third smallest value in -1/7, -4, d, 2/3, -36?
-1/7
Let u be ((-68)/6)/(76/1026). Let i be 2/3 + 204/u. Which is the fourth biggest value? (a) i (b) -1/2 (c) 0.5 (d) 2/29
a
Let w = 0.4 + 0. Let x = 0 - w. Let f = 5.958 + -3.958. What is the smallest value in -1, f, x?
-1
Let g = 26 + -22. Suppose -9 + g = -p. Let l = -90.6 + 91. What is the second smallest value in l, p, 0?
l
Let m = -75 - -74.838. Let y = -0.182 - m. Let d = -22 - -22. Which is the second biggest value? (a) d (b) -2 (c) y
c
Let t be 7/((-56)/(-32))*327/(-18). Let x be (-324)/30*(-40)/6. Let b = t + x. What is the second biggest value in 4, 0, b, -5?
0
Let w be (-2)/(-4) + (-143)/(-286). Which is the third smallest value? (a) w (b) 255 (c) 0
b
Let d = -58.911 - 0.089. Let c = d + 62. What is the second smallest value in c, -5, 4, 2/15?
2/15
Let l = 1379 - 1379.4. What is the third biggest value in l, 3, 19, 5?
3
Let x = -224349385/1544 + 145304. What is the third smallest value in -3/2, -0.5, x?
x
Let n(w) = -w**2 - w - 19. Let z be n(0). Let m be 9/(-12) + z/(-36). Let g be 875/280 - ((-2)/16)/(-1). Which is the biggest value? (a) m (b) -2/7 (c) g
c
Let k(d) = -d**2 - 66*d - 745. Let f be k(-51). What is the second smallest value in -0.3, -5, f, 3, -8?
-5
Let p(v) = 28*v + 20. Let k be p(4). Suppose -4*j - 122 = 3*l - 8*l, 5*l = -j + k. Let g be l*(4 + (-9)/2). What is the second smallest value in g, -3, 5?
-3
Suppose -5 + 69 = -8*a. Let x = -34.09 - -34.49. What is the second biggest value in a, x, -2/3, -1/3?
-1/3
Let c = 0.3716 + -0.6716. What is the biggest value in c, 5, 1/68, -2/9?
5
Let a = 0.071 + 107.429. Let x = a + -107. Suppose 0 = -y + 1. What is the third biggest value in y, x, -7?
-7
Let n be (-19)/3211*-26 - 3/(-156)*-6. Which is the fourth smallest value? (a) -0.12 (b) 0.1 (c) -0.1 (d) n (e) 4
b
Let n = 4237 - 4241. Let p = 2 - -1. Let m = 2 + -1.92. Which is the second biggest value? (a) p (b) 4/5 (c) m (d) n
b
Let f(d) = -120*d + 11128. Let p be f(93). Let y = -0.1 + 0.1. Which is the second smallest value? (a) 0.3 (b) y (c) p
b
Let d = 11272.5 + -11273. What is the fifth biggest value in 2, -2, d, 5, -37?
-37
Let k = 1/8 - -3/8. Let f(q) = q**2 + 20*q + 28. Let y be f(-19). Suppose 0*m + y = 3*m. Which is the third biggest value? (a) k (b) m (c) -4
c
Let y = 0.85 + -8.65. Let w = y - -13.8. Which is the biggest value? (a) w (b) 0.05 (c) -0.4
a
Let a be 6/10*20/28. Let y = -7253 - -7255. What is the fourth biggest value in y, 3/10, 4, a?
3/10
Let i be 30/405 - (-73)/108. Let y = 2.7 - 3. Let h(l) = -l**2 + 4*l + 3. Let v be h(4). Which is the biggest value? (a) y (b) 2 (c) i (d) v
d
Let f = -542 + 547. What is the third biggest value in 262, f, 0.3?
0.3
Let g = -183.18 + 182.18. Which is the fourth biggest value? (a) -0.3 (b) 0.4 (c) -3 (d) g (e) 9
d
Let w = 5.3924 + -0.3924. Which is the smallest value? (a) w (b) 0.1 (c) -4/5
c
Let x = 10282 + -10281.8. What is the fifth biggest value in 2/15, x, -0.4, 3, 6?
-0.4
Let t be (-7 - -8)/(-9 + 2). Let o = -11 - -12. Let f be (-33)/9 + 4 + -4 + 2. What is the biggest value in f, o, t?
o
Let v = 3924 + -19622/5. Which is the second biggest value? (a) -3 (b) 4 (c) -10/7 (d) v (e) 3
e
Let d be (-7)/(-1) - (80927/12397 - 6/(-14)). What is the third biggest value in 5, d, 20, 5/4, 1/4?
5/4
Let f = 3.5 + 0.5. Let p = 504.92 - 10.92. Let v = p + -493. What is the smallest value in v, -0.24, f?
-0.24
Let n = -0.01 + -1.99. Suppose -4*o - 171*s = -175*s - 44, 0 = -3*o - 2*s + 3. What is the third biggest value in 2, n, o, -3/14?
-3/14
Suppose 0 = -2*i - 10 + 26. Suppose -207*m = -67*m - 140. What is the biggest value in m, i, 2/15?
i
Let w = -0.02 - 2.98. Let d = -699 + 699.03. What is the biggest value in 0, d, w?
d
Let b = -97.84 + 97.34. What is the fourth biggest value in -211, -5, b, 0.1?
-211
Let n(o) = -o + 8. Let a be n(6). Suppose 0 = -2*j - 2, v - 3*j - j = a. Let z = -13.737 + 13.667. What is the second biggest value in 0.1, 0.3, z, v?
0.1
Let v = 494/15 - 97/3. Let u = 29.72 - 2.42. Let y = 27 - u. Which is the smallest value? (a) 0.17 (b) y (c) v
b
Let s = -2699.9 - -2700. Which is the smallest value? (a) -2 (b) s (c) 1/2 (d) 345 (e) 0.2
a
Let b = 157 + -116. Let p = -71 + b. What is the second smallest value in p, -4, 0.1?
-4
Let c = 67.876 + -68. Let a = c - 3.876. What is the second biggest value in -3/10, a, 0, 3?
0
Let m = 3 - -19.2. Let g = m - 22. Let n = -0.2 + -0.3. Which is the smallest value? (a) 2 (b) g (c) 3 (d) n
d
Let b = -6731.3 - -6731. What is the fifth smallest value in 0.1, 0.08, b, 3, -0.5?
3
Let u = -1412 + 1415. Suppose -9*l + 72 = -u*l. Let z = 3.2 + -3. What is the third smallest value in -3, z, l?
l
Let c = -0.029 - 25.971. Let a = -19.953 - 0.047. Let t = a - c. What is the third smallest value in 5, t, 0.5?
t
Let k = -25585 + 25581. Which is the third biggest value? (a) k (b) 8 (c) -3.7
a
Let a = 1037/5698 - 1/5698. What is the third biggest value in -7/3, a, -2, -1/2?
-2
Let l = -9657/5 - -1932. What is the third biggest value in l, -10, 2, 3?
l
Let v = 31188 - 31199. What is the fifth biggest value in v, 0.1, 4, 2/3, -9?
v
Suppose -14 = 125*y - 126*y. Suppose -y*f = -19*f + 15. Let b be 4 - f*48/27. What is the second biggest value in -5, -1/7, b?
b
Suppose -2769 = 5*p - 2879. Which is the biggest value? (a) -3 (b) -1/3 (c) p (d) 0 (e) 4
c
Let g be (-2)/(-5) + 47589/(-135). Let t = -30905/153 - g. Let q = 150 - t. Which is the second biggest value? (a) 0 (b) q (c) 8
a
Let p = -74 + 73.71. Let d = p - -0.59. Let m be 4 + (-1 - 4/(-2)). Which is the second biggest value? (a) m (b) d (c) -0.1
b
Let a = -7913 - -7916. What is the fourth smallest value in -2/13, 29.3, a, -2?
29.3
Let i = 15423 + -293039/19. What is the fourth smallest value in i, 2, -2/3, -4, -0.5?
i
Let t = 229.8 - 230. What is the fourth biggest value in -5, t, 0.2, 70?
-5
Let y = 4.549 - -1.451. What is the smallest value in 1, -7.8, y?
-7.8
Let q = 628 - 628.2. Let u = 218/129 - 1/43. Which is the second smallest value? (a) -13 (b) q (c) u
b
Let z = 18.3 + -20. Let i = 1.661 + z. Let p = -
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{
"pile_set_name": "DM Mathematics"
}
|
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