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1. Let b be i(2). Let m be (2/6)/((-2)/6). Let v be (-3 - -7)*m/(-2). Is b at least v?
False
Suppose 2*o - 3*k - 40 = 0, -2*k + 25 = 4*o - 23. Is o < 13?
False
Let b = 12 + -4. Which is smaller: b or 7?
7
Let g = 5 + -6. Let q = g + 0. Does 0 = q?
False
Suppose -2*j + k = -7, -4*j - 3*k + 25 = 6. Suppose 0 = -j*w - 5*c - 19, 2*w + w = 2*c - 20. Which is smaller: -7 or w?
-7
Let d = -74.1 + 74. Which is smaller: d or 34?
d
Let k = 0.015 + -0.215. Let q(m) = -m - 1. Let w be q(0). Which is smaller: w or k?
w
Let m(n) = n**3 + n**2 + n - 1. Let s be m(0). Which is bigger: s or -0.09?
-0.09
Let d = -252 + 767/3. Which is smaller: 4 or d?
d
Let b be (-2 - 1)*2/(-6). Let i(a) = a + 4. Let w be i(-3). Is b less than or equal to w?
True
Let v = -1.82 + 2.12. Let x = -3.1 + 3. Let w = 0 - x. Are w and v equal?
False
Suppose 298 + 341 = -9*d. Is -71 equal to d?
True
Let v = 0.02 + -0.42. Let p = 0.4 + v. Let o = -0.1 + p. Which is smaller: 0.2 or o?
o
Let m = 6 - 17/3. Let v be 2*14/30 + -1. Let o = v - m. Which is smaller: o or -2?
-2
Suppose 5*u + 8 = 33. Suppose 8 + 17 = -u*z. Is -4 >= z?
True
Let x(r) = r**2 - 7*r + 11. Let o be x(5). Which is greater: -3/10 or o?
o
Suppose 4*l = 108 + 4. Let w = l + -139/5. Is -1 greater than or equal to w?
False
Let b be 35/6*16/(-15). Is b at most -5?
True
Let q = -0.2 - -0.6. Is q equal to 10?
False
Let q be (-1 + 2)*1/(-1). Which is smaller: q or 0?
q
Suppose -4 = 5*q - 14. Let g be 0*((-1)/q + 1). Which is smaller: 1 or g?
g
Let g = 2/93 - 2143/186. Are g and -11 non-equal?
True
Let x = 32 - 35. Which is smaller: -22 or x?
-22
Suppose 3*r - 3*a - 18 = -2*a, 3*r - 6 = 5*a. Let c = -5 + r. Which is smaller: 7/3 or c?
c
Let k = 63 - 57. Which is greater: 13/2 or k?
13/2
Suppose 2*r + 544 = -d, -2*d = r + 313 + 787. Let w be d/(-56) - (-1)/7. Which is bigger: 8 or w?
w
Let h(o) = -o - 4 - 1 + 12. Let y be h(7). Which is bigger: y or 2/17?
2/17
Let v be (1 - 3/6)*12. Let y be 2/1 + (-10)/v. Let z = 101/35 + -13/5. Which is smaller: y or z?
z
Let b = -1 - -1.5. Let g = b - 0.8. Which is smaller: g or 0?
g
Let o be (2 + -4 + 133)*1. Let k = -1443/11 + o. Let v(g) = g + 4. Let l be v(-5). Is l > k?
False
Let b = 0 - 3. Let n be (-37)/b + 2/(-6). Let m be 2*(-1 - n/(-11)). Is m less than or equal to 0?
False
Let r(l) = -3*l + 4. Let h be r(3). Let a(s) = s**3 + 4*s**2 - 7*s - 7. Let f be a(h). Suppose 4*v = v - f. Is 1/3 less than v?
False
Let b be (-8)/10*(-2)/(-4). Let g = 0 + -0.4. Let t = g + 0.5. Is t greater than or equal to b?
True
Let d be (4/(-6))/((-6)/(-477)). Is -53 at least as big as d?
True
Let k be (1/(-3))/(3/9). Let n(d) = -d**3 + d**2. Let p be n(k). Which is smaller: 4/5 or p?
4/5
Let z be 2/425*5/(-1). Which is greater: 0 or z?
0
Let u be ((-1)/2)/(1/12). Let r = -4 - u. Let y be (2/3)/(r/(-6)). Which is smaller: 0 or y?
y
Let c = -5 + 5.05. Let v = c + 5.95. Let m = v + -6. Is m greater than 0.2?
False
Let a = -15 - -13. Let r = -1 - 1. Is a at least as big as r?
True
Let r = -907/5 - -182. Is -0.11 bigger than r?
False
Suppose -10*g + 5*g = -15. Is -2/7 <= g?
True
Let q(s) = s**3 + 12*s**2 + 20*s - 4. Let g be q(-10). Are g and -3 unequal?
True
Suppose 2*u + 3 = 19. Let c be (u/(-10))/((-5)/(-25)). Is -4 <= c?
True
Suppose 8*j = 6*j + 8, 4*l + 4*j - 12 = 0. Let x = -9803/37 + 265. Which is greater: l or x?
x
Let q = -5/26 + 97/234. Let r(h) = -h + 9. Let t be r(8). Which is bigger: q or t?
t
Let k = -0.02 - -0.42. Let u = 0.1 - k. Let i = 1 + 0. Which is smaller: i or u?
u
Let u be 2/(-1*32/(-12) + -2). Is 2 greater than u?
False
Suppose -39 = -p + 4*o, 3*o = -2*p - o + 42. Is p greater than or equal to 25?
True
Let a(w) = -w**3 - 8*w**2 + 2. Let v be a(-8). Which is bigger: v or 3?
3
Let j be (-4)/(-10) - 3/(-5). Which is bigger: j or 2/39?
j
Let b(v) be the second derivative of v**3/6 - 3*v**2 - v. Let i be b(7). Let u(q) = -q - 2. Let o be u(-4). Which is bigger: i or o?
o
Let y = 0.15 + -2.15. Is y less than -0.4?
True
Let m = 2381/9 - 265. Which is smaller: 1 or m?
m
Let u = 16 - 22. Let x = u + 4. Let v be x*-3*3/(-18). Is -2/5 > v?
True
Suppose 0 = 5*s - s + 40. Let m be 99/(-30) - (-2)/s. Is -3 not equal to m?
True
Let c = 24649/19 - 1297. Are 1 and c unequal?
True
Suppose 0 = 2*i + 3*c - 14, 3*c - 14 = -2. Suppose -l = -2*l - i. Let g be ((0 - -2) + -2)/l. Is 0 less than g?
False
Let r = -1.04 - -0.5. Let w = r - 0.06. Let n = w + 0.3. Which is bigger: 0.1 or n?
0.1
Suppose -3*d + 4*d + 2 = -3*y, -y - 44 = -4*d. Let b = d + -7. Suppose -b*r = r - 8. Is r > 4?
False
Let r = -39 - -40. Which is bigger: r or -1?
r
Let k = 3 + -2. Let o = -8.5 + 9. Are o and k non-equal?
True
Let n(b) = -4*b - 13. Let u be n(-3). Is -1/4 greater than u?
True
Suppose 5*y + 251 = 3*j, y = 2*y + 3*j + 61. Which is smaller: y or -51?
y
Let m = -1987/35385 + -1/1011. Is 1 greater than or equal to m?
True
Let k = 18 - 18.02. Which is greater: -1 or k?
k
Let l(i) = i**3 - 12*i**2. Let u be l(12). Which is smaller: 1/5 or u?
u
Suppose -c + 5 - 10 = 0. Let k = -7 - c. Is 0 smaller than k?
False
Suppose -3*c - 4 - 5 = 0. Let n be (-7)/6 - c/6. Are -1 and n nonequal?
True
Suppose 0 = -a - 41 + 5. Let h = a + 250/7. Which is smaller: h or 0?
h
Let h = 0.8 - 0. Let c = h - 1.1. Which is greater: c or -0.1?
-0.1
Let r = 0.783 - -0.017. Which is greater: r or 0.2?
r
Let z be 6/(-4) + 13/(-26). Is 2 > z?
True
Let m(b) = 6*b - b**2 + 37 - 18 - 23. Let v be m(5). Which is greater: 1/3 or v?
v
Let g = 15 - 14.6. Which is smaller: g or 5?
g
Let n(y) = -y**2 + 3*y + 3. Let z be n(4). Suppose f = -3*l - 11, 4*f = -6*l + 8*l + 12. Is z bigger than f?
False
Let c be ((-2)/(-28))/(6/(-36)). Let p = 10 - 11. Which is greater: c or p?
c
Let z be 1/((-3)/(-3) - 0). Let x be (z/3)/(2/(-6)). Let s be (1 + x - 0)/1. Is s equal to -1?
False
Let k = -19 - 7. Which is smaller: k or 2/3?
k
Let w = 1/44 + 83/220. Let p(n) = -n**2 + 6*n + 3. Let i be p(7). Which is greater: i or w?
w
Suppose 5*f = 5*k - 9*k + 3, -k - 3 = 5*f. Let i be ((-1)/(-2))/((-2)/12). Is f not equal to i?
True
Let a(y) = -y**2 - 9*y - 9. Let t be a(-8). Let g be 0 + 0 + 2/(-4). Which is smaller: t or g?
t
Let i = -582 + 1766/3. Which is smaller: i or 6?
6
Let l = -2.196 - 0.184. Let j = l + 2.5. Is j greater than 1?
False
Let b be (-16)/(-12)*(-3)/2. Let n = -1 - b. Is 2 equal to n?
False
Suppose -13*h + 166 = -393. Is h bigger than 45?
False
Let w = -2327 + 9237/4. Are w and -17 nonequal?
True
Let f(z) = -z**2 - 3*z - 5. Let a be f(-4). Are a and -42/5 nonequal?
True
Let a = -57 + 57. Is a <= 3/34?
True
Let p = 6812/601 + -2/1803. Do p and -2/7 have the same value?
False
Let r(i) = i**3 + i**2 - 2*i - 1. Let v be r(2). Suppose 0 = -d + v - 4. Let s(j) = j + 11. Let y be s(-8). Is d less than or equal to y?
True
Let j = 5.8 + -7. Let c = -1.1 - j. Which is greater: 3 or c?
3
Suppose y - 5 = -3*d, 4*y = 3*d + 21 - 1. Is 7 < d?
False
Let a(k) = -k**2 - 10*k - 16. Let h be a(-3). Let c(y) = 4*y**2 + 3*y + 2. Let p be c(-2). Let z = h - p. Are z and -6 equal?
False
Let q(p) = -p**2 - p - 3. Suppose -w + 8 - 1 = -4*h, -2*h = 5*w + 9. Let v be q(h). Are -5 and v non-equal?
False
Let s = 6.1 - 6. Let h = -0.12 - -8.12. Let c = h - 9. Is c >= s?
False
Let d = 0.06 - -0.14. Let s = d - 7.2. Is s at least 1?
False
Let s = 2.7 + 0.3. Let p = s + -2.96. Do p and -1 have the same value?
False
Let x be 1*-3 + 6 + -7 + 3. Are 1/142 and x equal?
False
Let c be 51/13 + 2/(-3)*6. Which is greater: 0 or c?
0
Let u be (-12)/(-2)*(-3)/(-6). Let n(y) = y**2 + 5*y - 3. Let a be n(-6). Is u less than or equal to a?
True
Let i = -0.04 + 2.04. Let z = 1.9 - i. Is 1/5 equal to z?
False
Let v = 12.1 - 12. Let y = 1.8 - 0.8. Which is greater: v or y?
y
Let h = 1/3 - 7/12. Let v(c) = c**3 - 2*c**2 + 2*c - 3. Let s be v(2). Suppose 0 = -g - s. Are h and g non-equal?
True
Let f(v) = -v**2 - 3*v + 4. Let u be f(-4). Let t = 45 - 139/3. Is u less than t?
False
Let n = -71 + 72. Which is greater: 2/137 or n?
n
Let u = -5 - -8. Is 4 <= u?
False
Let t(o) = -o**2 + 9*o - 5. Let c = 17 + -9. Let p be t(c). Let i be (-2)/3*p/2. Which is smaller: -2/17 or i?
i
Suppose 3*u + 2 = -4*t, 0 = -2*u + 2*t + t - 7. Is -10/9 equal to u?
False
Suppose -2*d - 5*u = 3, -4 = -d - 4*d - u. Suppose 3*m - 1 = 4*o + 39, 32
|
{
"pile_set_name": "DM Mathematics"
}
|
visor of v and b?
7
Let g be -2 - -1 - (-69)/(-6)*-2. What is the highest common divisor of 154 and g?
22
Suppose -2*a - 15 = -7*a. Calculate the highest common factor of 12 and a.
3
Suppose 0*s + 4*s - 168 = 0. What is the greatest common divisor of 21 and s?
21
Let c = 51 + -30. Calculate the highest common factor of c and 3.
3
Let i(h) be the first derivative of -3 - 9/2*h**2 + 0*h. Let p be i(-2). What is the greatest common factor of p and 9?
9
Let g(a) = -a + 9. Let q be g(0). Suppose -5*t + q = -61. Let i(o) = 2*o - 6. Let c be i(4). Calculate the greatest common factor of t and c.
2
Suppose 6*y - 82 = 4*y. Suppose -15 = -3*x + 4*w, 4*x = -2*w + y + 1. What is the greatest common divisor of x and 1?
1
Suppose 15 = -2*v + 5*v. Calculate the highest common factor of v and 5.
5
Suppose 8 = -2*c + 2*n + 54, -32 = -c + 4*n. Suppose -3*y + 240 = y. What is the highest common divisor of y and c?
20
Let y be (2/(-3)*12)/(-1 + 0). What is the greatest common factor of y and 8?
8
Let p be (-2)/(2/1)*0. Let t be 3 + p + 19 + 3. What is the highest common factor of t and 10?
5
Let u(f) = -14*f + 8 - f**3 - 7*f + 10*f**2 + 12*f. Let m be u(9). Suppose -6*w + 200 = -w. What is the highest common divisor of m and w?
8
Suppose 3*r = r + 4. Suppose -2*l = 2*n - 56, 5*n - 76 - 70 = -r*l. Let j be ((-22)/6)/((-2)/n). Calculate the greatest common divisor of 11 and j.
11
Suppose 2*p = -2*n + 10, 5 = 4*n + 3*p - 13. Calculate the highest common divisor of 15 and n.
3
Suppose 29*c + 630 = 34*c. What is the greatest common divisor of c and 84?
42
Suppose 16 = 5*h - 14. Let z be h/(-24) + (-42)/(-8). Calculate the greatest common divisor of 55 and z.
5
Let b = -7 - -12. Suppose b = -t - 1. Let h be 37/3 + 2/t. What is the highest common divisor of h and 48?
12
Suppose -n + 8 = -7. Let j(s) = -18*s - 6. Let i be j(-4). Suppose k - 9 = i. Calculate the highest common factor of n and k.
15
Let v(a) = -4*a + 2. Suppose -3 = w - 2. Let s be v(w). What is the highest common factor of 48 and s?
6
Let i(t) = 13*t + 5. Let g be i(4). Let b be (2 - g/15)*-5. Suppose -2*x + 86 = 4*k - 20, -5*k = 4*x - 131. What is the greatest common divisor of b and k?
9
Suppose 25 = -0*a + a. Suppose 0*t + t = 5. Calculate the highest common divisor of a and t.
5
Let z be (-2)/2 - (5 - 8). Suppose -z*c + 260 = 64. Calculate the greatest common factor of c and 14.
14
Let g(v) = 2*v**2 + 7*v - 2. Let a be g(-6). What is the highest common divisor of a and 7?
7
Let p(w) = -1 - 5*w + w**3 - 3*w**2 + 5 + 2. Let d be p(4). Calculate the highest common divisor of 1 and d.
1
Let z(o) = -7*o + 17. Let b be z(-7). Calculate the greatest common factor of 33 and b.
33
Let l be (-12)/(-2) - (-4)/2. Let i = 1 - -9. Let g be i/1 - (0 + 2). What is the highest common factor of g and l?
8
Let l(v) = -v**3 - 5*v**2 + 4*v. Let r = 23 + 7. Suppose -6*b = -b + r. Let i be l(b). What is the highest common divisor of 12 and i?
12
Suppose -5*f - l + 2624 - 757 = 0, 0 = 2*f - 5*l - 736. Suppose 3*k = 2*h - f, 4*k - 236 = -2*h + 116. Calculate the highest common factor of h and 26.
26
Let s(v) = -v**2 + 12*v - 15. Let x be s(10). Suppose x*u - 684 = u. What is the highest common divisor of 19 and u?
19
Let q(j) = 4*j - 5*j**2 - 5*j + 2 + 3*j + j**3. Let d = -8 - -13. Let c be q(d). Calculate the highest common factor of c and 108.
12
Let n = 21 + -20. Let z be (-51)/(-15) - (-4)/(-10). Suppose -n - z = -t. What is the highest common divisor of 6 and t?
2
Let h(r) = 5*r - 44. Let x be h(13). Calculate the greatest common factor of 42 and x.
21
Let h(g) = 9*g - 39. Let m be h(6). Calculate the greatest common divisor of 165 and m.
15
Suppose 0 = -3*h + r + 136, 4*h + 2 - 177 = -5*r. Calculate the highest common factor of h and 105.
15
Suppose 5*u - 42 = -z, 6*z - 2*z = -4*u + 200. Calculate the highest common factor of 26 and z.
26
Suppose -2*y - 9 = -y. Let l = -4 - y. Let i = l + -3. Calculate the highest common divisor of i and 16.
2
Suppose -2*w = -6*w + 44. Calculate the highest common divisor of w and 55.
11
Let k be 8/32 - 1/4. Suppose -70 = -t - k*t. Calculate the highest common divisor of 10 and t.
10
Suppose 4*v + 12 + 4 = 0. Let j be 128/9 + v/18. Let s = -8 + j. Calculate the greatest common factor of 24 and s.
6
Let l be (-1)/(-2) - 34/(-4). Let s(c) = -c**3 - 6*c**2 - 9*c - 9. Let b be s(-6). Calculate the greatest common divisor of l and b.
9
Suppose 4*i - 2*i = 24. What is the greatest common divisor of 8 and i?
4
Let f(h) = 8*h**2 - h. Let r be f(1). What is the greatest common divisor of r and 35?
7
Suppose -4*c = 2*a - 66, 2*c = -3*a + a + 32. Suppose b - 14 = -3*i + c, -52 = -4*i - 4*b. Let k = 30 + -21. Calculate the highest common divisor of i and k.
9
Suppose 2*s = -s. Suppose s = 4*n + n. Suppose -4*c + 35 + 49 = n. What is the greatest common divisor of c and 21?
21
Let b(o) = -o**3 - 15*o**2 - 18*o + 16. Let k be b(-14). Calculate the greatest common factor of 8 and k.
8
Suppose 101 + 76 = -3*d. Let g = d - -101. Calculate the greatest common divisor of 21 and g.
21
Let t be (((-48)/15)/2)/((-5)/50). What is the highest common factor of 40 and t?
8
Let f = 43 + -39. Suppose -4 = -3*v + 2. Suppose 3*k = 5*o + 36, v*k = -2*o + 17 + 7. What is the highest common factor of k and f?
4
Let c(g) = -42*g - 1. Let t be c(-1). Let w = -14 + t. Calculate the greatest common divisor of 18 and w.
9
Let i = -35 + 41. Calculate the greatest common factor of i and 66.
6
Let s = 45 + -25. Calculate the greatest common divisor of s and 10.
10
Let v = -4 - -4. Let g be (1 - v)/(4/60). Let z = g + -5. Calculate the highest common divisor of z and 20.
10
Suppose 2*m + 4*m - 408 = 0. What is the highest common divisor of 4 and m?
4
Let s(n) = -n**3 - 12*n**2 - 5*n - 16. Let h be s(-12). What is the greatest common factor of h and 4?
4
Let v = 12 - 9. Calculate the highest common factor of v and 3.
3
Let b(m) = 2*m - 5. Let j be b(6). Suppose -p = -r - 3, r + 3*p - 10 - 7 = 0. Suppose -7 = -r*u + u. Calculate the highest common factor of u and j.
7
Let m(t) = t**2 - t - 5. Let j(s) = 2*s**2 - 7*s + 3. Let r be j(5). Let a be 188/36 - 4/r. Let d be m(a). What is the highest common factor of d and 15?
15
Let s(a) = a**3 - 18*a**2 + 28. Let i be s(18). Calculate the greatest common divisor of 196 and i.
28
Let k = 2 - 0. Suppose x + k*x = 0. Suppose 31 = b - w - 2*w, x = 4*w - 12. Calculate the highest common factor of b and 8.
8
Suppose 0*k + 8 = 2*k. Suppose k*s - 13 = -2*o + 11, 5*o - s - 49 = 0. Let f be (-2)/(-3) + 148/3. Calculate the highest common factor of f and o.
10
Let l = -6 + 8. Suppose 4*k - l*k = 12. Suppose -n = -5*y - 22, 6*n - 2*n - 4*y = 24. What is the highest common divisor of n and k?
2
Suppose -4*t = -3*k + 87, 3*k + 2*k - 110 = -5*t. Calculate the greatest common factor of 10 and k.
5
Let j(a) = -4*a**2 - 1. Let b be j(-1). Let t be ((-4)/b)/(3/75). Calculate the greatest common divisor of t and 4.
4
Let i = 12 + -10. Calculate the highest common factor of 22 and i.
2
Let x(n) = n**2 - 2*n + 8. Let m be x(-6). Let y be 4*1 + (-6 - -9). Calculate the highest common factor of m and y.
7
Suppose n - 528 = -5*n. Calculate the greatest common factor of n and 11.
11
Suppose 12 = -0*m + 3*m. Suppose -m*y = -49 - 59. Let i = 27 + -18. Calculate the greatest common factor of i and y.
9
Suppose -2*d = y + 3*y - 336, -4*y - 4*d + 340 = 0. Suppose 5*s - y = -18. What is the highest common factor of 117 and s?
13
Suppose 0 = 9*q - 10*q - 3. Suppose -11 = -j + 3. Let i = j + q. Calculate the greatest common factor of 22 and i.
11
Let o = 32 + -23. What is the highest common divisor of 45 and o?
9
Suppose -3*h + 480 = 129. Let z = h + -60. Calculate the greatest common divisor of z and 19.
19
Suppose -5*b + 6*y - 2*y + 238 = 0, -4*b = -5*y - 194. Suppose 2*q - b = -v, -51 - 15 = -v + 2*q. Calculate the highest common factor of 14 and v.
14
Let s = -35 - -62. Let k = -17 + s. Calculate the greatest common factor of 80 and k.
10
Let j = 17 + -14. Suppose 0*v = j*v - k - 16, 0 = 2*k + 2. What is the highest common factor of 5 and v?
5
Let o(h) = -1 - 13 - 3*h - 1. Let m be o(-10). What is the highest common factor of m and 15?
15
Let x(g) = 2*g - 4. Let s be x(3). Let d(z) = 7*z - 1. Let f be d(-2). L
|
{
"pile_set_name": "DM Mathematics"
}
|
picking 4 p?
1/210
What is prob of picking 1 b and 1 w when two letters picked without replacement from pfbpw?
1/10
What is prob of picking 1 c, 1 d, and 1 h when three letters picked without replacement from {f: 1, c: 2, h: 3, d: 1}?
6/35
Calculate prob of picking 1 z and 1 w when two letters picked without replacement from {z: 1, c: 3, w: 5}.
5/36
What is prob of picking 2 k and 1 o when three letters picked without replacement from {k: 2, a: 1, o: 1}?
1/4
Four letters picked without replacement from {x: 4, v: 3}. What is prob of picking 3 x and 1 v?
12/35
Calculate prob of picking 2 y when two letters picked without replacement from {i: 2, u: 7, y: 9}.
4/17
Two letters picked without replacement from {o: 1, e: 1, c: 1, i: 1, b: 1}. What is prob of picking 1 o and 1 e?
1/10
What is prob of picking 1 h and 3 i when four letters picked without replacement from ihhii?
2/5
Four letters picked without replacement from {d: 2, s: 2, r: 1, g: 4, n: 1}. Give prob of picking 2 g, 1 n, and 1 s.
2/35
Three letters picked without replacement from {l: 3, e: 5}. What is prob of picking 2 e and 1 l?
15/28
Two letters picked without replacement from ciwcicwiwiwcii. Give prob of picking 1 i and 1 c.
24/91
Two letters picked without replacement from krhhhhhhkkkkhhhhhhhh. What is prob of picking 1 h and 1 k?
7/19
Two letters picked without replacement from {d: 1, i: 3, c: 3, l: 7, r: 2, v: 1}. Give prob of picking 1 l and 1 v.
7/136
Calculate prob of picking 3 z when three letters picked without replacement from {z: 10, e: 4}.
30/91
Two letters picked without replacement from {s: 3, t: 3, k: 1, u: 2, b: 1}. What is prob of picking 1 s and 1 k?
1/15
What is prob of picking 2 i and 1 y when three letters picked without replacement from {q: 1, y: 3, i: 16}?
6/19
Two letters picked without replacement from {m: 17, j: 3}. Give prob of picking 1 m and 1 j.
51/190
Three letters picked without replacement from {r: 3, u: 6, c: 1, v: 3}. What is prob of picking 2 v and 1 u?
9/143
Calculate prob of picking 3 q when three letters picked without replacement from qeeedxqmeeqm.
1/220
Four letters picked without replacement from {r: 7}. Give prob of picking 4 r.
1
Three letters picked without replacement from {i: 2, r: 1, j: 1, s: 2, l: 1, v: 1}. What is prob of picking 1 v and 2 s?
1/56
Three letters picked without replacement from {t: 1, m: 1, c: 2, l: 10}. Give prob of picking 1 c, 1 t, and 1 m.
1/182
Three letters picked without replacement from glmlmlrmvv. Give prob of picking 1 l, 1 m, and 1 g.
3/40
Two letters picked without replacement from kkkkzkkkkkkkzkzkkz. Give prob of picking 2 k.
91/153
Calculate prob of picking 1 l and 1 i when two letters picked without replacement from {i: 2, l: 1}.
2/3
Three letters picked without replacement from mvvvtkvmtavvtvffmtat. What is prob of picking 2 f and 1 k?
1/1140
What is prob of picking 2 g when two letters picked without replacement from {g: 4, s: 1, l: 5}?
2/15
What is prob of picking 3 p when three letters picked without replacement from {p: 10}?
1
What is prob of picking 2 x and 1 v when three letters picked without replacement from {u: 1, e: 2, h: 1, x: 3, v: 3}?
3/40
Calculate prob of picking 1 n and 2 j when three letters picked without replacement from {j: 7, n: 12}.
84/323
What is prob of picking 2 h and 1 n when three letters picked without replacement from {n: 4, h: 3, k: 5}?
3/55
What is prob of picking 1 i and 1 c when two letters picked without replacement from {i: 7, c: 7, u: 2}?
49/120
Three letters picked without replacement from mmmmaalmymmmlaalmmm. Give prob of picking 1 a, 1 y, and 1 m.
44/969
Two letters picked without replacement from gggggaggga. Give prob of picking 2 g.
28/45
Two letters picked without replacement from enwpnjjpjp. What is prob of picking 1 e and 1 w?
1/45
Two letters picked without replacement from trrtrtr. What is prob of picking 2 t?
1/7
Two letters picked without replacement from {q: 2, j: 9}. Give prob of picking 2 q.
1/55
What is prob of picking 3 d when three letters picked without replacement from hhaadahdada?
1/165
Two letters picked without replacement from {k: 11, d: 5}. What is prob of picking 2 k?
11/24
What is prob of picking 1 j and 1 l when two letters picked without replacement from {l: 1, j: 2, p: 4, q: 2}?
1/18
Four letters picked without replacement from {a: 12, e: 2, p: 4, m: 2}. What is prob of picking 3 p and 1 a?
16/1615
What is prob of picking 2 q and 1 m when three letters picked without replacement from qmqmqmmmmqmam?
24/143
Two letters picked without replacement from {y: 1, o: 1, r: 1, i: 1, u: 1}. What is prob of picking 1 i and 1 y?
1/10
Calculate prob of picking 2 n and 1 w when three letters picked without replacement from awnwznanaanananan.
21/340
Three letters picked without replacement from {r: 1, t: 11, i: 3, x: 2, d: 1}. Give prob of picking 1 i, 1 x, and 1 r.
1/136
Calculate prob of picking 2 p when two letters picked without replacement from {p: 3, y: 1}.
1/2
Two letters picked without replacement from lzgz. Give prob of picking 1 g and 1 z.
1/3
Two letters picked without replacement from {q: 11, o: 2, v: 1, z: 1, i: 3}. What is prob of picking 1 o and 1 q?
22/153
Calculate prob of picking 1 f and 3 p when four letters picked without replacement from pfpppfpfpfff.
8/33
Calculate prob of picking 3 r and 1 f when four letters picked without replacement from rxfgx.
0
Three letters picked without replacement from {a: 9}. What is prob of picking 3 a?
1
Two letters picked without replacement from oppaoairjopp. What is prob of picking 2 p?
1/11
What is prob of picking 2 o when two letters picked without replacement from crgzczgccgoccrgzz?
0
Three letters picked without replacement from {y: 2, r: 3, z: 5, v: 5}. Give prob of picking 1 v and 2 z.
10/91
Calculate prob of picking 1 k and 1 p when two letters picked without replacement from {p: 2, l: 4, t: 2, m: 1, k: 1}.
2/45
Calculate prob of picking 2 c when two letters picked without replacement from {u: 2, c: 9}.
36/55
Four letters picked without replacement from {q: 4, g: 3, b: 2}. Give prob of picking 2 g and 2 q.
1/7
What is prob of picking 2 r and 2 t when four letters picked without replacement from {r: 3, t: 2}?
3/5
What is prob of picking 1 u and 3 q when four letters picked without replacement from {s: 1, u: 7, d: 2, n: 4, q: 4}?
7/765
Two letters picked without replacement from qqwsw. Give prob of picking 2 w.
1/10
Four letters picked without replacement from {a: 3, v: 2, x: 6, w: 8}. What is prob of picking 1 w, 1 v, and 2 a?
4/323
Calculate prob of picking 2 b and 1 u when three letters picked without replacement from {k: 1, u: 1, m: 1, b: 2}.
1/10
What is prob of picking 1 v and 2 f when three letters picked without replacement from fvfqflfffqfvffqqfff?
44/323
Calculate prob of picking 1 m and 1 d when two letters picked without replacement from {n: 2, d: 4, m: 1}.
4/21
Calculate prob of picking 1 s and 2 c when three letters picked without replacement from {u: 1, l: 4, s: 1, d: 2, c: 2}.
1/120
Two letters picked without replacement from {k: 1, c: 2, u: 1, i: 1, t: 2, q: 2}. Give prob of picking 1 q and 1 c.
1/9
What is prob of picking 1 p and 2 y when three letters picked without replacement from jpppppppypyyypppy?
11/68
Three letters picked without replacement from {m: 7, l: 1, u: 4, j: 2, s: 1, z: 4}. Give prob of picking 1 z, 1 l, and 1 s.
4/969
What is prob of picking 3 u when three letters picked without replacement from xewuewueewwuwieuwwxd?
1/285
Three letters picked without replacement from wwwam. What is prob of picking 3 w?
1/10
Calculate prob of picking 1 n and 1 q when two letters picked without replacement from nxxxqxxqqxqqnxqqqq.
2/17
Four letters picked without replacement from eweooofoowwoeoeh. What is prob of picking 1 h, 2 e, and 1 w?
9/910
Three letters picked without replacement from ffbbbqfbfbbfbibbb. What is prob of picking 1 f, 1 b, and 1 q?
5/68
Calculate prob of picking 2 q and 1 p when three letters picked without replacement from {q: 3, r: 3, y: 2, g: 1, p: 4, t: 2}.
12/455
Four letters picked without replacement from {h: 6, u: 5, g: 2}. Give prob of picking 1 h, 1 g, and 2 u.
24/143
Calculate prob of picking 1 e and 3 z when four letters picked without replacem
|
{
"pile_set_name": "DM Mathematics"
}
|
qrt(2)
Simplify (0 + sqrt(108))**2 + -2.
106
Simplify (3*sqrt(14)*-5)/sqrt(7).
-15*sqrt(2)
Simplify (sqrt(12)/sqrt(6))**2*-3 + 0.
-6
Simplify -2 + 1*sqrt(13) + 3.
1 + sqrt(13)
Simplify sqrt(30)/sqrt(6)*4 + (sqrt(5) - sqrt(80)/sqrt(4)).
3*sqrt(5)
Simplify (sqrt(11)*5 + 2)*4.
8 + 20*sqrt(11)
Simplify -2 + sqrt(2156).
-2 + 14*sqrt(11)
Simplify 2 + (2 + sqrt(72))**2.
24*sqrt(2) + 78
Simplify 1*(sqrt(11) + sqrt(11) + 2)*5*-6.
-60*sqrt(11) - 60
Simplify 6*((sqrt(7) - 6*-2*sqrt(7))**2 + (sqrt(7) - (sqrt(1008)*-1)**2)).
6*sqrt(7) + 1050
Simplify 3 + (sqrt(343) - (2*sqrt(343) - sqrt(343))**2)*5.
-1712 + 35*sqrt(7)
Simplify (-1*sqrt(513) - sqrt(57))/(sqrt(147)*-2 - sqrt(3)).
4*sqrt(19)/15
Simplify -3*(-3*sqrt(44)/sqrt(4) + sqrt(704)*-1)*5.
165*sqrt(11)
Simplify -4 + 4 + sqrt(19)*2 + ((sqrt(57)/sqrt(3) - sqrt(19)) + -2)**2.
4 + 2*sqrt(19)
Simplify ((sqrt(350) - sqrt(350)*-1 - sqrt(350)) + sqrt(350))/sqrt(7).
10*sqrt(2)
Simplify ((sqrt(133)*-2*1)/sqrt(7))**2.
76
Simplify (-2*sqrt(5))**2*-3 - sqrt(40)/(sqrt(24)/sqrt(3)).
-60 - sqrt(5)
Simplify 0 + sqrt(1584) + 2.
2 + 12*sqrt(11)
Simplify ((sqrt(1539) - (sqrt(1539) - sqrt(1539)*1))*4)**2.
24624
Simplify 3*sqrt(21)/sqrt(3)*1.
3*sqrt(7)
Simplify (2*sqrt(121))/sqrt(11) - (2 + sqrt(44)).
-2
Simplify (sqrt(72) + (sqrt(72) - 4*sqrt(72)) + 4 + sqrt(72))**2.
-48*sqrt(2) + 88
Simplify 5 + ((sqrt(3) - (1 + (sqrt(27))**2)) + sqrt(3) + sqrt(3) - -5*sqrt(3)*-3).
-23 - 12*sqrt(3)
Simplify (2 + (sqrt(5) - sqrt(180)*3))**2.
-68*sqrt(5) + 1449
Simplify 2*sqrt(51)/(sqrt(3) + (-3*sqrt(3) - sqrt(3)) + sqrt(3)).
-sqrt(17)
Simplify -5 + (-2*sqrt(85)*-2)/sqrt(5) + -5.
-10 + 4*sqrt(17)
Simplify sqrt(4)/sqrt(2) + -1 + sqrt(72)*2 + -1.
-2 + 13*sqrt(2)
Simplify 3*(-2 + sqrt(1053)) - sqrt(1053).
-6 + 18*sqrt(13)
Simplify sqrt(18)*-4 - (sqrt(12)/sqrt(6) + 3).
-13*sqrt(2) - 3
Simplify (-1*sqrt(190)*5 + sqrt(190) + sqrt(190))/sqrt(10)*-4.
12*sqrt(19)
Simplify sqrt(57)/(sqrt(75)*-1).
-sqrt(19)/5
Simplify ((-2*sqrt(88))/sqrt(2))/(3*sqrt(4)*5 - sqrt(4) - sqrt(4)).
-2*sqrt(11)/13
Simplify (-1 + sqrt(700) + 5 - (-1 + sqrt(700) + 1))**2.
16
Simplify 4*(5*sqrt(112) - sqrt(7) - sqrt(7) - ((sqrt(7) - (sqrt(7) + 0))*-2)**2).
72*sqrt(7)
Simplify (sqrt(150)/sqrt(5))/sqrt(6) + (-3*(sqrt(5) + sqrt(45) + sqrt(5)))**2.
sqrt(5) + 1125
Simplify (-1*sqrt(2000) - sqrt(2000))/sqrt(10).
-20*sqrt(2)
Simplify ((sqrt(128) + sqrt(2) + (sqrt(2) + sqrt(2)*-2 - sqrt(2)) + 2)*4)**2.
448*sqrt(2) + 1632
Simplify sqrt(3) + ((2 + sqrt(3))*3)**2 + sqrt(3) + 0.
63 + 38*sqrt(3)
Simplify 5*(-1 + sqrt(11)) + 0.
-5 + 5*sqrt(11)
Simplify -2 + sqrt(110)/(sqrt(110)/sqrt(99)).
-2 + 3*sqrt(11)
Simplify (sqrt(18)/(sqrt(9) + sqrt(45)/(sqrt(30)/sqrt(6) + sqrt(5))))**2*4.
32/9
Simplify sqrt(1573) + (sqrt(1573) + 0)*-3.
-22*sqrt(13)
Simplify (-1*-1*sqrt(156))/(1*sqrt(12)*-4).
-sqrt(13)/4
Simplify sqrt(7) + sqrt(672)/sqrt(6) - (-1*sqrt(63))**2.
-63 + 5*sqrt(7)
Simplify (-5*(sqrt(1872) + 2*sqrt(1872) - sqrt(1872) - sqrt(1872))*1)**2.
46800
Simplify (sqrt(48)/(sqrt(12) - sqrt(12)*-1) - sqrt(4))/sqrt(2).
-sqrt(2)/2
Simplify ((sqrt(1700) - 1*(3 + sqrt(1700)))**2 + sqrt(1700))*4.
36 + 40*sqrt(17)
Simplify -5*(sqrt(5) - sqrt(20)/sqrt(4))*6.
0
Simplify -1*(sqrt(98) + -1)*-6.
-6 + 42*sqrt(2)
Simplify (-3*sqrt(132)*-2)/(sqrt(300) - 2*sqrt(300)).
-6*sqrt(11)/5
Simplify sqrt(132)/(2*(sqrt(12) + sqrt(24)/sqrt(2))).
sqrt(11)/4
Simplify ((sqrt(152) + sqrt(152)*-2 + sqrt(152))*-5)/sqrt(8).
0
Simplify sqrt(700) + -5 - (-6*(sqrt(28)/sqrt(4))**2 - sqrt(7)).
11*sqrt(7) + 37
Simplify (-5*(sqrt(75)/sqrt(3) + sqrt(25)))/(-3*sqrt(5)*-1).
-10*sqrt(5)/3
Simplify (sqrt(270)/sqrt(5))/sqrt(2).
3*sqrt(3)
Simplify -4*2*-4*-1*sqrt(180).
-192*sqrt(5)
Simplify (sqrt(99) + 0 + sqrt(99) + sqrt(99))**2 - (sqrt(99) + (-5*sqrt(99) - sqrt(99)))/sqrt(9).
5*sqrt(11) + 891
Simplify -3 + (sqrt(1980)/sqrt(11))**2.
177
Simplify (-3 + sqrt(1573) + -3 + sqrt(1573) + 0)**2.
-264*sqrt(13) + 6328
Simplify ((sqrt(119) - 1*sqrt(119) - sqrt(119) - sqrt(119))*5)/(sqrt(84)/(2*sqrt(12))).
-20*sqrt(17)
Simplify (sqrt(5324)*-1)/(sqrt(36)/(sqrt(36) + sqrt(9) + sqrt(9))).
-44*sqrt(11)
Simplify 1 + (4 + sqrt(5)*3)**2 + sqrt(30)/sqrt(6)*6.
62 + 30*sqrt(5)
Simplify (sqrt(39) + (-2*sqrt(78) + sqrt(78))/sqrt(2) - sqrt(39))/(sqrt(36)/(sqrt(48)/sqrt(4))).
-sqrt(13)
Simplify (sqrt(567) - (0 + sqrt(567) + -1))**2.
1
Simplify (((sqrt(55) + sqrt(165)/sqrt(3) + sqrt(55))/sqrt(5) + sqrt(11))**2 - (sqrt(176) + 4)) + 0 + -1*sqrt(1584).
-16*sqrt(11) + 172
Simplify 2 + 2 + sqrt(252).
4 + 6*sqrt(7)
Simplify (5 + sqrt(76)/sqrt(4)*-4)**2.
-40*sqrt(19) + 329
Simplify (sqrt(11) - (sqrt(11) + 4 + -4)) + 4.
4
Simplify sqrt(60)/(sqrt(36)/sqrt(3)*-1).
-sqrt(5)
Simplify (sqrt(605) + -1*sqrt(605) + sqrt(605) + 3 + -1 + sqrt(605) + (sqrt(605) - (sqrt(605)*-1 - sqrt(605))) + sqrt(605))**2.
264*sqrt(5) + 21784
Simplify sqrt(6)/sqrt(2)*2*4.
8*sqrt(3)
Simplify ((sqrt(35) - (sqrt(1715) + sqrt(1715)*-1))/((sqrt(960) - sqrt(60))/sqrt(12)))**2.
7/9
Simplify (sqrt(117) + 4*sqrt(117)*2)/sqrt(9) + 0.
9*sqrt(13)
Simplify -1 + (-4*(sqrt(2057)*-3 + sqrt(2057)))**2 + sqrt(2057) + sqrt(2057).
22*sqrt(17) + 131647
Simplify (((2*sqrt(70))/sqrt(10) - sqrt(70)/(sqrt(10) + sqrt(10)*1))*-3)**2.
567/4
Simplify (sqrt(6)/((sqrt(36)*-2)/sqrt(12)))**2.
1/2
Simplify 5 + -2 + 1*sqrt(5) + -2.
1 + sqrt(5)
Simplify (sqrt(99) + 2 + -2)**2 - ((sqrt(11) - (-2 + sqrt(11) + -1)) + sqrt(121)/(sqrt(33)/sqrt(3)))**2.
-6*sqrt(11) + 79
Simplify -2 + -3*-3*sqrt(19).
-2 + 9*sqrt(19)
Simplify (sqrt(2106) + sqrt(2106) + (sqrt(2106) - (sqrt(2106)*-1 - sqrt(2106))) + sqrt(2106))/(sqrt(2) - sqrt(128)*1).
-54*sqrt(13)/7
Simplify ((sqrt(76) - sqrt(19)) + 5 + sqrt(19) + -2 + sqrt(19)*2)**2.
24*sqrt(19) + 313
Simplify (-3 + sqrt(34)/sqrt(2) - (sqrt(272) + -5))**2*1.
-12*sqrt(17) + 157
Simplify ((sqrt(88)*1 - sqrt(88))/sqrt(8))**2 + (sqrt(1331) - sqrt(1331)*1)**2.
0
Simplify (sqrt(2) + 3*sqrt(2) + 0)**2 + -4.
28
Simplify 3 + (((sqrt(99)*1 + sqrt(99))*-3)/sqrt(9))**2.
399
Simplify sqrt(931)*-1*5.
-35*sqrt(19)
Simplify 3 + (sqrt(396)/sqrt(4))**2.
102
Simplify 2*(sqrt(13) + -1) + sqrt(39)/sqrt(3) + 3.
1 + 3*sqrt(13)
Simplify (-4*sqrt(96)/sqrt(72))**2.
64/3
Simplify (0 + sqrt(1573))*-1.
-11*sqrt(13)
Simplify (sqrt(4608) + sqrt(4608) + sqrt(4608)*-2 + 0 - ((sqrt(4608) - -2*sqrt(4608)) + sqrt(4608) + sqrt(4608) + 5))**2.
2400*sqrt(2) + 115225
Simplify -1*sqrt(240)/(sqrt(5) - (2*sqrt(245) + sqrt(245))).
sqrt(3)/5
Simplify (5*sqrt(25))/sqrt(5) + 3.
3 + 5*sqrt(5)
Simplify 1*(sqrt(1573) + 1)*-4.
-44*sqrt(13) - 4
Simplify -1 + (sqrt(70) + 5*sqrt(70)*2)/sqrt(10).
-1 + 11*sqrt(7)
Simplify -1 + -5 + sqrt(76)/sqrt(4).
-6 + sqrt(19)
Simplify -1 + sqrt(5808) - (0 + sqrt(5808)).
-1
Simplify ((sqrt(4320) - (2*sqrt(4320) - sqrt(4320)))/sqrt(6))**2.
0
Simplify ((-2*sqrt(1700) - sqrt(1700))*1*2*6)**2.
2203200
Simplify (5*sqrt(209)/(sqrt(22)/sqrt(2))*1)**2.
475
Simplify (sqrt(66) + sqrt(66) + 5*2*sqrt(66))/sqrt(6).
12*sqrt(11)
Simplify ((sqrt(15) - (6*1*sqrt(15) + sqrt(15) + sqrt(15)))/((sqrt(99)/sqrt(3))/sqrt(11)))**2.
245
Simplify -5*(sqrt(931) + 0 + sqrt(931)) + sqrt(931) + (sqrt(931) + 6*sqrt(931)*-1 + sqrt(931))**2.
-63*sqrt(19) + 14896
Simplify 5 + (-1 + sqrt(5) + 3)**2.
4*sqrt(5) + 14
Simplify (-1*sqrt(14)*-1 - sqrt(14))/sqrt(7).
0
Simplify ((-2*sqrt(39))/sqrt(3) + 2)**2.
-8*sqrt(13) + 56
Simplify 4 + (sqrt(8)*2)/sqrt(4).
2*sqrt(2) + 4
Simplify sqrt(19) - (sqrt(152)/(4*sqrt(8) + sqrt(8)))**2 - (sqrt(228)*1)/sqrt(12).
-19/25
Simplify (-2*sqrt(112)*3 + 4)**2*1.
-192*sqrt(7) + 4048
Simplify (sqrt(1216)*-4 + sqrt(1216) + sqrt(1216))**2 - (sqrt(1216) + sqrt(1216) + (-4*sqrt(1216))**2).
-14592 - 16*sqrt(19)
Simplify ((sqrt(2) - 5*-2*sqrt(2))**2 - (sqrt(32) + 2)) + 1.
-4*sqrt(2) + 241
Simplify (sqrt(26) - 1*(sqrt(936) - sqrt(26)))/sqrt(2).
-4*sqrt(13)
Simplify sqrt(405) - (sqrt(405) + -2 + -4).
6
Simplify 0 + -1 + sqrt(153).
-1 + 3*sqrt(17)
Simplify -1 + sqrt(5) + 5 + sqrt(15)/(sqrt(3)*-1 - sqrt(3) - sqrt(3)).
2*sqrt(5)/3 + 4
Simplify (sqrt(176) + 1 - sqrt(11) - (sqrt(33) + -2*sqrt(33))/sqrt(3))**2 + 3.
8*sqrt(11) + 180
Simplify ((1*sqrt(121) + sqrt(121))*-1)/(sqrt(11) + sqrt(704)*2 + sqrt(11) - sqrt(11)).
-2*sqrt(11)/17
Simplify sqrt(117)/(sqrt(27)/sqrt(3)*1) - sqrt(26)/((sqrt(12)*-2)/sqrt(6)).
3*sqrt(13)/2
Simplify (-1*sqrt(130)*-1 + sqrt(130)
|
{
"pile_set_name": "DM Mathematics"
}
|
4 for j.
4
Solve 15*q = -38*q - 53 for q.
-1
Solve 0 = 7*b + 39 - 60 for b.
3
Solve -11*p - 32*p = -43 for p.
1
Solve 32*t = 36*t for t.
0
Solve -20 = 41*v - 46*v for v.
4
Solve -8*c + 7*c = 4 for c.
-4
Solve 0 = -15*l - 60 + 165 for l.
7
Solve 1077*y - 1082*y = -25 for y.
5
Solve 7*a + 26 = -2 for a.
-4
Solve -11 = 100*m - 111 for m.
1
Solve 0 = -4*w - 0*w + 20 for w.
5
Solve 4354*z - 4370*z + 176 = 0 for z.
11
Solve 13*v = 15*v + 10 for v.
-5
Solve 69 = -68*b + 45*b for b.
-3
Solve -115 = -14*f - 73 for f.
3
Solve -612 = 106*z - 82 for z.
-5
Solve 1 = -19*v + 58 for v.
3
Solve 81 = -7*y + 130 for y.
7
Solve 2*i - 4*i - 8 = 0 for i.
-4
Solve 0 = 7*a - 2*a for a.
0
Solve 16*g - 12*g + 12 = 0 for g.
-3
Solve -3*x + 99 = 87 for x.
4
Solve -88 + 49 = 13*m for m.
-3
Solve -80*t = -56*t - 144 for t.
6
Solve 2*q = -6*q - 24 for q.
-3
Solve 0*k - 6*k = k for k.
0
Solve 0 = 10*c + 14*c + 144 for c.
-6
Solve 9*u + 31*u + 80 = 0 for u.
-2
Solve -c + 66 = 67 for c.
-1
Solve 0 = 2*j + 5 - 7 for j.
1
Solve -34 = 5*x - 59 for x.
5
Solve -9*n - 2*n + 22 = 0 for n.
2
Solve 2*u = 5*u - 0*u for u.
0
Solve -41*v + 35*v + 18 = 0 for v.
3
Solve -8*x = 3*x - 33 for x.
3
Solve 0 = 5*q - 10 for q.
2
Solve 58 = h + 54 for h.
4
Solve -8*q - 3 = -5*q for q.
-1
Solve 4*o = -4 - 16 for o.
-5
Solve 2*r - r + 2 = 0 for r.
-2
Solve 4*l = -7*l + 44 for l.
4
Solve 8*j + 13 = -19 for j.
-4
Solve -173*d = -159*d + 98 for d.
-7
Solve -60 = -40*y + 25*y for y.
4
Solve -69 = 2*c - 69 for c.
0
Solve -8*w = -5*w - 15 for w.
5
Solve -4*b - 1284 + 1264 = 0 for b.
-5
Solve 478*l - 490*l = 84 for l.
-7
Solve -3 = 15*g - 12*g for g.
-1
Solve 9*z + 3 = -15 for z.
-2
Solve 3*q - 31 = -16 for q.
5
Solve 365*r = 364*r + 3 for r.
3
Solve 8*z + 8 = 6*z for z.
-4
Solve 4*d + 603 = 631 for d.
7
Solve -b - 1 = 2 for b.
-3
Solve -4*g + 0*g = -4 for g.
1
Solve 30*t - 187 = 113 for t.
10
Solve -8*z = -3*z + 15 for z.
-3
Solve 5*h - 34*h = 87 for h.
-3
Solve 17*v - 40 + 57 = 0 for v.
-1
Solve 285 = 4*q + 257 for q.
7
Solve -1 = -10*l - 11 for l.
-1
Solve 6 = 7*j - 10*j for j.
-2
Solve -6*m - 3 = 9 for m.
-2
Solve 0 = -21*j + 5*j + 48 for j.
3
Solve -992 = -d - 987 for d.
5
Solve 10 = -4*j + 30 for j.
5
Solve 2238 - 2278 = -8*u for u.
5
Solve -5 = 10*x + 25 for x.
-3
Solve 4*r + 22 = 6 for r.
-4
Solve 21 = -17*g + 14*g for g.
-7
Solve -3*x - 11 = -8 for x.
-1
Solve -5*m = 5*m + 20 for m.
-2
Solve 28*l + 128 = -68 for l.
-7
Solve -40*y = 103 - 423 for y.
8
Solve -182*a + 15*a = -501 for a.
3
Solve -25 = 19*p + 32 for p.
-3
Solve -50 = 13*g + 2 for g.
-4
Solve -87 + 101 = 2*v for v.
7
Solve 0*y = 8*y - 32 for y.
4
Solve 0 = -40*f + 5 - 125 for f.
-3
Solve 7*q = -19 + 19 for q.
0
Solve -82 = 8*o - 138 for o.
7
Solve 10 = 3*n - 5 for n.
5
Solve 31 = 3*m + 22 for m.
3
Solve 11*b + 0*b = -11 for b.
-1
Solve 350*x - 325*x + 175 = 0 for x.
-7
Solve 1080*n = 1074*n - 48 for n.
-8
Solve -6 = -i - 3 for i.
3
Solve 228*n - 211*n = 0 for n.
0
Solve -36 = 3*j - 27 for j.
-3
Solve 0 = 30*i - 8*i for i.
0
Solve -97*g + 344 = -11*g for g.
4
Solve -276*i + 268*i = 0 for i.
0
Solve 9*o = 22 - 4 for o.
2
Solve 4 = -13*v + 9*v for v.
-1
Solve 181*j = 161*j - 40 for j.
-2
Solve -9*s - 4*s + 91 = 0 for s.
7
Solve -57*i + 82 = -32 for i.
2
Solve 0 = 23*u - 10 - 128 for u.
6
Solve 751*k = 754*k + 18 for k.
-6
Solve 0 = -3*m - 19*m - 66 for m.
-3
Solve 4*x - 8 = -4 for x.
1
Solve 1 - 29 = 14*l for l.
-2
Solve -2 = 3*b + 1 for b.
-1
Solve -1112*s = -1111*s - 6 for s.
6
Solve 57*i - 61*i = 24 for i.
-6
Solve l = 23 - 27 for l.
-4
Solve 9*d + 16 = -2 for d.
-2
Solve 1265*s = 1272*s for s.
0
Solve 0 = -3*g - 11 + 5 for g.
-2
Solve 10*m + 126 = 31*m for m.
6
Solve -12*i = -3*i + i for i.
0
Solve 33*i + 40 = 13*i for i.
-2
Solve 29*d - 30 = 44*d for d.
-2
Solve 7*t = 10*t - 9 for t.
3
Solve 19*c + 66 = 8*c for c.
-6
Solve -5*j - 152 = -142 for j.
-2
Solve 12*t = -11*t for t.
0
Solve 20 = -19*k + 9*k for k.
-2
Solve 216*f - 219*f - 6 = 0 for f.
-2
Solve -76*a + 110 = -131*a for a.
-2
Solve 0 = 5*g - 8 - 17 for g.
5
Solve -6 = -2*s + 5*s for s.
-2
Solve -6 = -60*g + 63*g for g.
-2
Solve -7*m + 2*m = -11*m for m.
0
Solve 113 + 62 = 25*y for y.
7
Solve 17*s + 1188 = 1239 for s.
3
Solve 5*v - 16 = v for v.
4
Solve -60 - 115 = 25*v for v.
-7
Solve 116*x + 424 - 76 = 0 for x.
-3
Solve -22*l + 22 = -66 for l.
4
Solve -595*j = -597*j - 6 for j.
-3
Solve 5*k - 32 = -27 for k.
1
Solve 9*i = 14 - 77 for i.
-7
Solve -2 = -3*x + 1 for x.
1
Solve -2*y - 3*y = -2*y for y.
0
Solve -205*n = -200*n - 5 for n.
1
Solve 72*h - 74*h + 6 = 0 for h.
3
Solve -5 = 47*x - 42*x for x.
-1
Solve -24*q + 31 = 7*q for q.
1
Solve 2*q + 52 = 62 for q.
5
Solve 3174*t = 3170*t - 36 for t.
-9
Solve -3*k + 84 = 108 for k.
-8
Solve -21*b + 26*b + 10 = 0 for b.
-2
Solve -3*h - 3316 = -3298 for h.
-6
Solve 1286*a = 1290*a - 24 for a.
6
Solve 11 - 14 = i for i.
-3
Solve 3*w - 15 = -30 for w.
-5
Solve -12 = 5*t - 2 for t.
-2
Solve 9*z - 33 = 30 for z.
7
Solve 9*i + 1022 = 1049 for i.
3
Solve -3*p + 19 = 10 for p.
3
Solve 156*m + 18 = 147*m for m.
-2
Solve -22 + 14 = -2*a for a.
4
Solve 22 - 74 = 13*s for s.
-4
Solve 21*s = 9 + 12 for s.
1
Solve -95*h + 132 = -83*h for h.
11
Solve 0 = 108*s + 1275 - 411 for s.
-8
Solve -13*s = -32*s + 152 for s.
8
Solve 0 = v - 10 + 5 for v.
5
Solve -29*d - 142 = -287 for d.
5
Solve 7*b = 10*b for b.
0
Solve -3*k + 8*k = -25 for k.
-5
Solve -32*c = -240 + 80 for c.
5
Solve 10*p + 6 = -4 for p.
-1
Solve -20*b + 21*b - 10 = 0 for b.
10
Solve -11*q = -q - 30 for q.
3
Solve 55*a - 58*a = 15 for a.
-5
Solve -41*y - 39 = 84 for y.
-3
Solve 91*r = -38*r - 387 for r.
-3
Solve -156*f = -153*f + 9 for f.
-3
Solve 0 = 26*k - 42*k for k.
0
Solve 0 = 54*d - 51*d + 6 for d.
-2
Solve -82*w + 86*w + 20 = 0 for w.
-5
Solve -65*z = -69*z - 12 for z.
-3
Solve 3*z + 8 - 20 = 0 for z.
4
Solve 0 = -12*q + 566 - 602 for q.
-3
Solve -10 = -19*t + 9*t for t.
1
Solve 0 = 37*m - 30*m + 35 for m.
-5
Solve 0 = 29*z - 44*z + 105 for z.
7
Solve -25*r = -22*r + 12 for r.
-4
Solve 0 = m + 2*m - 9 for m.
3
Solve 4*t + 4 = 20 for t.
4
Solve -70 = -23*t + 58*t for t.
-2
Solve 0*l - 5*l = 15 for l.
-3
Solve 10*f + 5 - 35 = 0 for f.
3
Solve 3*j + 2*j = 15 for j.
3
Solve 0 = -65*q + 54*q + 66 for q.
6
Solve -7*p + 2*p + 25 = 0 for p.
5
Solve -11*s = -38 - 6 for s.
4
Solve -47*m = -36*m + 11 for m.
-1
Solve -5 = -3*c + 8*c for c.
-1
Solve 2186*v - 2191*v = -25 for v.
5
Solve 0 = 41*l - 61*l - 120 for l.
-6
Solve -30 = -3*w - 39 for w.
-3
Solve 0 = m - 13 + 18 for m.
-5
Solve 15 - 19 = -2*o for o.
2
Solve 130*v = 9*v + 605 for v.
5
Solve -225 = -41*t + 144 for t.
9
Solve 0 = y + 5 - 7 for y.
2
Solve 26 = -9*z - 19 for z.
-5
Solve 0 = 30*v + 12*v + 210 for v.
-5
Solve -h - 5 = -10 for h.
5
Solve 62*i + 640 = 142*i for i.
8
Solve 22*t + 35 = 101 for t.
3
Solve 5 = 4*i + 9 for i.
-1
Solve 0 = -m + 57*m + 280 for m.
-5
Solve 4*m = m + 8*m for m.
0
Solve 22*o - 9*o = 13 for o.
1
Solve -100 + 28 = -9*o for o.
8
Solve 13*y + 2 = -11 for y.
-1
Solve -12*d + 11*d = -2 for d.
2
Solve 1630*m = 1627*m + 15 for m.
5
Solve 6 = 39*d - 42*d for d.
-2
Solve 204 = 68*z - 340 for z.
8
Solve -7 = 58*x - 65*x for x.
1
Solve -8335*v - 54 = -8341*v for v.
9
Solve b - 1 = 4 for b.
5
Solve -171*r + 174*r = 6 for r.
2
Solve 15 = -9*p + 4*p for p.
-3
Solve 8 = 2*z + 14 for z.
-3
Solve 10*q = -0*q + 10 for q.
1
Solve 4*i - 2*i = 0 for i.
0
Solve 1 = 3*j + 13 for j.
-4
Solve -4 = 12*g - 11*g for g.
-4
Solve -20*g - 107 = -27 for g.
-4
Solve 0 = 11*x - 0*x + 66 for x.
-6
Solve 0 = f + 13 - 11 for f.
-2
Solve -334 + 59 = 25*f for f.
-11
Solve 2*c = -4*c - 30 for c.
-5
Solve -92*r + 95*r = 21 for r.
7
Solve 5*o + 9 = 29 for o.
4
Solve -31 = s - 38 for s.
7
Solve -347 = 13*f - 373 for f.
2
Solve -18*l = -21*l for l.
0
Solve -28*k + 208 = -80*k for k.
-4
Solve 11*n = -1 + 1 for n.
0
Solve 8*g + 9*g = -3*g for g.
0
Solve -12*k = 213 - 285 for k.
6
Solve 0 = 7*c + 1 + 6 for c.
-1
Solve -5*p + 15 = -10*p for p.
-3
Solve 10*a + 5 = -15 for a.
-2
Solve 0 = 3*b - 2*b - 2*b for b.
0
Solve 3*a = a + 2 for a.
1
Solve -18*a - 27 = -153 for a.
7
Solve -6*k = 3 - 9 for k.
1
Solve 10*x - 3*x = 35 for x.
5
Solve 2*l - 7*l + 5 = 0 for l.
1
Solve -29*v = -7*v for v.
0
Solve -7*k - 9*k - 64 = 0 for k.
-4
Solve 7101*p + 24 = 7095*
|
{
"pile_set_name": "DM Mathematics"
}
|
19/4)
Simplify (y*y/(y*y**(-12)*y))/(y*y/y**3)*y**(-18/5)/(y/(y**(-12)*y)) assuming y is positive.
y**(-13/5)
Simplify ((h/(h*h/h**(-4)*h*h))/h**(2/19))**48 assuming h is positive.
h**(-6480/19)
Simplify ((g/((g**(-9)*g*g)/g))/(g/((g**(-2/25)/g)/g)))/(g*g*g/((g**(-3/8)/g)/g))**(6/5) assuming g is positive.
g**(-53/100)
Simplify ((z/z**(-3/4))**(-3/34)/(z**(3/5)*z**(-7/3)/z))**(1/37) assuming z is positive.
z**(5261/75480)
Simplify ((n*n**(-21))/n*n*n/n**(6/25)*n)/((n**(2/43)*n*n)/n**(1/8)) assuming n is positive.
n**(-173389/8600)
Simplify (o**(-1/7)*o**(-1/26))/((o*o*o**3*o)/o**7) assuming o is positive.
o**(149/182)
Simplify (a**(-2)*a*((a*a*a*a/((a/a**29)/a))/a)/a)/(a**(-15)/((a**(2/9)/a*a)/a)) assuming a is positive.
a**(398/9)
Simplify (k*k*k*k**(2/33))/k**10*k/(k**(-2/25)/k*k)*k**9 assuming k is positive.
k**(2591/825)
Simplify ((j**(1/2))**(-2)/(j**(1/3))**16)**(-35) assuming j is positive.
j**(665/3)
Simplify g*g*(g*g/(g*g**(-19)*g))/g*g*g**(-3/8)*((((g/(g**8*g*g*g))/g)/g)/g)**(1/5) assuming g is positive.
g**(721/40)
Simplify c**0*c*c/c**(-12)*c*(c**(-5)/c)/c*c**(-15) assuming c is positive.
c**(-7)
Simplify p**(-11)*p/(p**(-13)/p)*p*(p*p**(-2/13))/(p/(p**(-4/21)/p)) assuming p is positive.
p**(998/273)
Simplify (g**(-17)*g**24)/((g*g*g/(g*(g**(-2/17)*g)/g)*g)/g*g*g*g**(-2/29)) assuming g is positive.
g**(1455/493)
Simplify g**22*g/(g*g**(-1)*g)*g*(((g/g**(-1))/g)/g)/((g*g**(-24))/g) assuming g is positive.
g**47
Simplify ((t**(-8/9)*t**(-13))**(2/75))**(1/5) assuming t is positive.
t**(-2/27)
Simplify w/w**(-7)*(w/w**(1/8))/w*w*w/(w*w**7)*w/(w**0/w) assuming w is positive.
w**(31/8)
Simplify (z**12/z)/(z/(z/(z/(z/z**(4/9)))))*(z**13)**(-4/7) assuming z is positive.
z**(197/63)
Simplify ((c*c*c**(-1/3)*c*c)/(c**6*c))/(c/(c*c*c**1/c*c*c))**13 assuming c is positive.
c**(107/3)
Simplify j**3/j**11*j**15*(j*j*j/j**(2/19)*j*j)/j assuming j is positive.
j**(207/19)
Simplify ((k**(-1/2)*k*k)**(4/7))**(-31) assuming k is positive.
k**(-186/7)
Simplify w*w/(w*w*w**(-1/12)*w)*w*w*w**(-22)/w*(w/w**(-27)*w)/(w/(w/(w**(12/7)*w))) assuming w is positive.
w**(367/84)
Simplify t/(t/(t**(-5/6)*t)*t)*t*((t*t**14*t)/t)/t*t**(6/7)/(t*t*t*(t*t*t/(t**(-15)*t))/t*t*t*t) assuming t is positive.
t**(-293/42)
Simplify (b/(b/(b*b/b**16)*b))**(-2/35)*b**(-22)/(b*b/b**23*b) assuming b is positive.
b**(-8/7)
Simplify (t**(2/13)*t*t)/t**(-12)*t**(-8)*t**8/t assuming t is positive.
t**(171/13)
Simplify q**(-25)*(q**(1/43)*q)/q*q**15*q*(q/(q/q**(9/4)))/q assuming q is positive.
q**(-1329/172)
Simplify d**(1/23)/d*d*d*d**(-2/5)*d*(d/(d*d**(-1)*d))**12 assuming d is positive.
d**(189/115)
Simplify (a**3)**42/((a/(a**(-2/5)*a))/a)**(2/13) assuming a is positive.
a**(8196/65)
Simplify ((q**(2/7)*q**(-1/9))/(q**(1/4)*q**(5/2)))**4 assuming q is positive.
q**(-649/63)
Simplify (((s/s**(-1/2))/(s/(s*(s/s**(2/7))/s)))/(s**(-1/4)/s)**(-5/3))**(-1/44) assuming s is positive.
s**(73/3696)
Simplify (q**(-12)/(q/(q/q**(-13))))/(q**(-1/28)/q*q**(-18)) assuming q is positive.
q**(561/28)
Simplify ((o**(8/7)/(o**(-9)/o))/((o/(o*o**(6/7)/o))/o**4))**(-17/2) assuming o is positive.
o**(-255/2)
Simplify ((w**(2/11)/w*w**7)/((w**(-5)/w)/(w/((w*w/(w*w**(-5)))/w))))**(-6) assuming w is positive.
w**(-540/11)
Simplify y*y*y*y**(2/55)*(y/y**2)/y*(y*y/(y*y**(1/4)*y)*y)**34 assuming y is positive.
y**(2919/110)
Simplify ((k/(k*k*k**(-1))*k**10)**(-5/2))**5 assuming k is positive.
k**(-125)
Simplify (o/((o**(-1/13)/o)/o*o)*o)/(o/(o**(-3/4)/o))*(o**(-3))**(2/63) assuming o is positive.
o**(253/1092)
Simplify (s**2*s**(-6))/(s**(1/3)/s**(3/13)) assuming s is positive.
s**(-160/39)
Simplify (k*k/((k*k/k**(-1/4)*k*k)/k))**48/(k*k**5)**(6/11) assuming k is positive.
k**(-696/11)
Simplify (d*d**15)**(-3/10)*((d/(d/(d*((d/d**(-9)*d)/d)/d)))/d)**(1/16) assuming d is positive.
d**(-339/80)
Simplify v*v**(-2/9)*v*v**(-2/21)*v*(v/(((v*v**(-25))/v)/v))/v**(-2/5) assuming v is positive.
v**(9476/315)
Simplify (j/(j/((j*j*j/(j*j/(((j*j**(17/4))/j)/j))*j)/j))*j)/(j/(j**(-4/25)/j))*((j/j**2)/j)/(j/j**(-1/7)) assuming j is positive.
j**(-37/700)
Simplify (((s/s**15)/s)/s**28)/(s*s**12)**3 assuming s is positive.
s**(-82)
Simplify ((o/(o**(3/8)/o*o))/(o**1/o))/(o**(-2/9)*o**(-2/7)) assuming o is positive.
o**(571/504)
Simplify ((t**(1/4)*t*t**(2/17))/(t*t**(-2))**(-18))**(10/7) assuming t is positive.
t**(-5655/238)
Simplify (c**(-2/61)*c**(-1/3))/(c**(-1/7))**(1/30) assuming c is positive.
c**(-1543/4270)
Simplify ((y**(-19)/y)/y**(-4/7))/(y**(-1/3)*y**(-35)) assuming y is positive.
y**(334/21)
Simplify ((f/((f/f**(-1/5))/f)*f*f**1)/(f**0)**(4/5))**(-9) assuming f is positive.
f**(-126/5)
Simplify (x*(x*(x/x**1)/x)/x*x**4)/(x/(x**(-9)/x))**(1/21) assuming x is positive.
x**(73/21)
Simplify (i/i**(-1/39)*i**(-2/5))/(i*i**(-18)*(i*(((i/(i/((i/(i*(i/(i*(i**(2/25)*i)/i))/i))/i*i)))/i)/i)/i)/i) assuming i is positive.
i**(19057/975)
Simplify (((q/q**(-1/4)*q)**(-6/17))**(-2/47))**(39/2) assuming q is positive.
q**(1053/1598)
Simplify ((g**(-1/5))**(-1/13))**(12/11) assuming g is positive.
g**(12/715)
Simplify (m/(m*m/(m*m**0*m)))**(1/23)*(m/(m*m*m*(m*m**(-12)*m)/m*m))/(m/(m*m*m**(-2/5)*m)) assuming m is positive.
m**(1109/115)
Simplify (c**(2/141)*c**32*c)/(c**(-8)/c**(6/23)) assuming c is positive.
c**(133855/3243)
Simplify ((d**(-1/3)*d)**(-5/7)*(d/((d/(d**3/d))/d))/d**(-3/4))**(-2/67) assuming d is positive.
d**(-275/2814)
Simplify ((t*(t/t**(-2/3)*t)/t)/t)**(-5/9)/((t/t**(-1/5))/(t/(t**(1/12)/t))) assuming t is positive.
t**(-113/540)
Simplify (((v/v**(2/9)*v)/v**(-2/7))/(v**(-1)*v**(4/9)))**(26/7) assuming v is positive.
v**(1430/147)
Simplify (((u*u/u**(-12))/u**5)/((u*u/u**(-2/7)*u)/(u/u**(9/2))))**35 assuming u is positive.
u**(155/2)
Simplify (((m**(-1/13)*m)/m)/(m*((m*(m**(4/3)*m)/m)/m)/m))/(m*(m/m**(-1/4))/m)**(-37) assuming m is positive.
m**(6995/156)
Simplify (u**(-6))**(3/25)/(u**17/(u**24/u)) assuming u is positive.
u**(132/25)
Simplify n**(-5)/n**17*(n**(-6))**17 assuming n is positive.
n**(-124)
Simplify ((g/(g*g*g**25))/(g/((g/((g*(g/(g**(-3/16)*g))/g)/g)*g)/g)))/(g**(-6)*g**(-17)) assuming g is positive.
g**(-35/16)
Simplify (n*n*n*n/(n/(n**(-21)*n)))/(n/n**(-16))*(n*n**(7/4)*n)**(3/22) assuming n is positive.
n**(-2947/88)
Simplify ((l*l/l**(1/4))**42*l**(5/6)*l**5)**(-41) assuming l is positive.
l**(-9758/3)
Simplify ((b/b**(-1)*b)**(22/3)/((b**(-1)*b)/b)**0)**36 assuming b is positive.
b**792
Simplify ((t**(-2/5)/t*t)**(-38))**(1/25) assuming t is positive.
t**(76/125)
Simplify ((t*(t**9*t)/t*(t*t**(-10)*t*t)/t*t*t*t)**(3/10))**(-38) assuming t is positive.
t**(-57)
Simplify (u**(7/6)/u)/((u/u**(-3/14))/u*u)*(u/(u**(2/5)/u))/(((((u**(-20/9)*u)/u)/u)/u)/u) assuming u is positive.
u**(1819/315)
Simplify f**(-19)*(f**(-24)/f)/f*f/(f**(-10/7)/f*f)*f*f**(11/3) assuming f is positive.
f**(-796/21)
Simplify v**16/v**(2/63)*v**18/(((v**11/v)/v)/v) assuming v is positive.
v**(1636/63)
Simplify ((w/(w*w*w**(-4/3)))/(w/w**(2/51)))/(w**(2/3)*w*w*w/w**(-2/5)) assuming w is positive.
w**(-399/85)
Simplify (((q/q**(6/13))/((q**(-6/5)/q)/q))**(4/7))**7 assuming q is positive.
q**(972/65)
Simplify (((n**(-33)*n)/n*n)/(((n*n*n/n**(5/4))/n)/n))/((n/n**(-2/9))/n**11) assuming n is positive.
n**(-791/36)
Simplify (v**3/v)**(-16/3)/((v*v**(-2/23)/v)/(v*v**(1/13))) assuming v is positive.
v**(-8524/897)
Simplify (m**(-16)*m*(m/(m*m**16))/m)/((m*m/m**37*m*m)/(m*m**(-6/11)*m*m*m)) assuming m is positive.
m**(49/11)
Simplify (k*k**13)/(k**3/k)*k/(k**(-17/4)*k)*k**26*k assuming k is positive.
k**(173/4)
Simplify (s**(-2/35)*s)**(-1)*(s*s**5)**(-1/66) assuming s is positive.
s**(-398/385)
Simplify ((d**(-7)*d**9)**(6/13))**(1/11) assuming d is positive.
d**(12/143)
Simplify ((u**0)**28/(u**10/(u*u**(-8))))**(-1/28) assuming u is positive.
u**(17/28)
Simplify j*j**5*j/(j*j**12)*(j**(-2)*j)**(-2/33) assuming j is positive.
j**(-196/33)
Simplify (w*w**16)**(-7)*w**(4/29)*w/(w/(w*w**(-2/57))) assuming w is positive.
w**(-194884/1653)
Simplify y*y*y**10*y*y**(-13)*(y*y/y**(3/5)*y)**28 assuming y is positive.
y**(336/5)
Simplify a**13/a**(-2/9)*(a*((a/(a*a/((a/(a**(-2/3)/a))/a)*a))/a)/a)**(-3/2) assuming a is positive.
a**(137/9)
Simplify r**(5/2)/(r/(r*r**(-7)))*r/r**(-3)*r/(r/(r**3/r)) assuming r is positive.
r**(3/2)
|
{
"pile_set_name": "DM Mathematics"
}
|
d + r. Is d composite?
True
Let a(p) = -p**3 - 2*p - 3. Let b be a(0). Let g be (2/6)/(1/b) - -5. Let i(d) = 23*d**3 + 4*d**2 + 4*d + 7. Is i(g) composite?
False
Suppose 3*h + 17*p = 19*p + 18519, -h = -3*p - 6180. Let j = h - 3976. Is j prime?
False
Suppose 27 = 9*s - 9. Let f(q) = 7693*q + 1. Is f(s) a prime number?
True
Let w(h) = 690*h**3 - 7*h**2 + 27*h + 15. Is w(13) prime?
False
Let c(i) be the third derivative of 985*i**5/6 - 5*i**4/8 - 7*i**3/3 + 197*i**2. Is c(-1) a prime number?
True
Let o(r) = -11097*r - 391. Is o(-20) composite?
False
Suppose -2*a - 43048 = -3*j, 8*j = 13*j - 5*a - 71740. Let n = j - 6983. Is n a composite number?
False
Suppose -11*u + 0*u + 11 = 0. Is (1330 + (2 - -5))*u prime?
False
Let f be 23 + -15 + 2 - 1*5. Suppose f*v - 16893 = -n + 48700, 5*n = v - 13129. Is v a composite number?
True
Let v = 1005 - 583. Suppose 4*a - v = 2*a + 2*l, 3*a + 2*l = 633. Is a composite?
False
Is (3 + 0)*644172/36 a composite number?
False
Let x(b) = -11*b**3 - 16*b**2 - 21*b - 83. Let r be x(-13). Suppose 4*p = -20, 2*d - r = -6*p + p. Is d composite?
True
Suppose -3*i - 31 = -2*b - 2*i, b + 4*i = -7. Let n(g) = 8*g + 8*g + 14*g + 6 - 44*g + 14*g**2 + 12*g - g**3. Is n(b) a prime number?
True
Suppose -5*u + 23 = -7. Is -182014*(4/u - (-224)/(-192)) composite?
True
Suppose 18 = 3*u + 5*b - 15, 30 = 4*u + 2*b. Suppose -i + u*i + i = 0. Suppose 0 = -5*x + 3*a + 4567, 0 = -4*x - i*x + 3*a + 3656. Is x a prime number?
True
Let t be 4 - (-5 - 770) - 0. Suppose 7*h - t = 3799. Let l = 2365 - h. Is l a prime number?
False
Let a be 36667 - (22/44)/(2/(-4)). Suppose 18*x - 17314 - a = 0. Is x a composite number?
False
Let w = 839 - 329. Suppose q + 4*m = 453, -3*q + w = -4*m - 833. Is q composite?
False
Let a be 6 + (-1 - -7380 - -6). Let q = a + -3434. Is q a composite number?
True
Is (-1)/4 + 674631216/1472 a composite number?
False
Suppose -566*a = -565*a - 1312. Let i = a + 309. Is i prime?
True
Suppose 288974 = 4*q - 4*i - 3498, -q + 73136 = 5*i. Is q prime?
True
Is (8 + -3 - -33428) + -1*0/3 a prime number?
False
Let g = -27 - -32. Let v = g + 0. Suppose 2*w - 2*k + 104 = 676, -k = -v*w + 1434. Is w prime?
False
Suppose 360 + 3726 = -3*d. Let o = d - -2141. Is o prime?
False
Let s(i) = -15*i - 31*i**2 + 28*i - 9*i + 108*i**2 - 5. Is s(-6) a composite number?
True
Let g(q) be the third derivative of q**6/60 - q**5/20 + q**4/6 - 13*q**3/6 - 2093*q**2. Suppose 2*n - 4*f + 32 = 6*n, -10 = -5*f. Is g(n) a prime number?
False
Let h(t) = -10*t**2 - 3*t**2 + 6*t**2 + 6*t + 4*t**3 - 7. Let b be h(4). Suppose s - b = 90. Is s a composite number?
False
Let x = -683 - -1340. Let c(k) = 2 + x*k + 11 + 8 - 15. Is c(3) composite?
True
Suppose 8 = -43*l + 47*l. Suppose 0 = q + o - 4, -l*o - 2*o - 38 = -5*q. Suppose 0 = -4*j + 10*p - q*p + 9628, 0 = -5*p + 20. Is j a prime number?
True
Let s(v) = -v**3 - 21*v**2 + 16*v + 18. Let c be s(-10). Let g = c + 1759. Is g a composite number?
True
Let b be (-28)/126 - 29023/9. Let o be (2126/5)/(2/(-10)). Let j = o - b. Is j composite?
True
Let g = 22620 + 48973. Is g a prime number?
True
Is 10/6 + (-3488)/327 + 212786 a prime number?
True
Suppose 66*x - 17727564 = 20814440 - 13053794. Is x a composite number?
True
Let p = -62405 + 136716. Is p composite?
False
Suppose 50*f = 32*f + 693774. Is f a prime number?
True
Let t = 206797 + -114060. Is t composite?
False
Suppose 5*l + 509 - 5644 = 0. Suppose -d - 4*n + 2919 = 0, -2*d - 2*n + l = -4817. Is d a prime number?
False
Suppose 16*u + 72*u + 743920340 = 428*u. Is u a composite number?
False
Let i = 3 - 2. Let l be 14/(-21) + 22/6 + i. Is 1/((-6376)/19164 + l/12) a prime number?
True
Let v(b) = -b**3 - 6*b**2 - 99*b + 67. Is v(-58) a composite number?
True
Is ((-8)/4)/((-26)/373763) composite?
False
Let g = -3135 + 9043. Let a(s) = s**2 + 3*s - 4. Let q be a(-4). Suppose 18*h - 22*h + g = q. Is h prime?
False
Let b(s) = -208*s - 31. Let x(m) = 35*m + m**2 - 2*m**2 - 26*m + 13 + 2*m**2. Let k be x(-6). Is b(k) composite?
False
Let c(w) = 3*w**2 - 27*w - 43. Let v(i) = -i**2. Let n(o) = c(o) - 2*v(o). Suppose -108 = -193*b + 199*b. Is n(b) a composite number?
False
Is 196970 + (-16)/((-160)/(-30)) composite?
True
Suppose 1321830 - 883129 + 1608239 = 20*c. Is c a composite number?
True
Suppose -26*o + 260959 = -117500 - 164499. Is o a composite number?
True
Let m(b) = 70*b**3 + 7*b**2 + 12*b + 27. Let c(z) = -70*z**3 - 7*z**2 - 13*z - 28. Let w(x) = 4*c(x) + 5*m(x). Is w(6) a composite number?
False
Let g = -37 - -80. Suppose m = -g + 52. Is (-9)/(-6)*(-3)/(m/(-1682)) a prime number?
False
Let i = 574879 + -313908. Is i a prime number?
False
Let r(i) be the third derivative of -i**6/120 - i**5/30 - i**4/8 - i**3/2 + 18*i**2. Let t be r(-2). Suppose t*h - 1431 - 1488 = 0. Is h a composite number?
True
Let g(f) = 9*f**2 + 91*f - 1429. Is g(96) a prime number?
False
Let f(s) = s**3 + s**2 - 8*s. Let n be f(-3). Let o(r) = 131*r + 1. Is o(n) a prime number?
True
Let m(b) = b**3 + 3*b**2 - 9*b + 4. Let i be m(-5). Is 6 + (-4 + i)*-271 prime?
True
Is (1/((-1)/1))/(-27 + 7159804/265178) a composite number?
False
Suppose 5*z - z = 8. Suppose -869 = -3*b + z*x, b = -b - x + 570. Is b composite?
True
Let j(x) = -x**3 - 12*x**2 + 13. Let u be j(-12). Suppose t = 3*g + 4 - u, 0 = 2*t + 4*g - 12. Suppose 7*r - 14*r + 18011 = t. Is r a composite number?
True
Suppose -6*o + 3*o + 35 = 5*w, 2*w = -3*o + 23. Suppose -o*v + 10479 = 3694. Is v prime?
False
Let g(c) = c**2 + 37*c - 53. Let r be g(-40). Suppose 2*k = 5*k - 438. Let n = k - r. Is n composite?
False
Let f(o) = -7*o - 3*o**2 - 2*o**2 - 24 - 4*o + 4*o**2. Let u be f(-4). Suppose 6*s + 2*m - 12616 = 2*s, s - u*m = 3163. Is s a prime number?
False
Let y(n) be the first derivative of 571*n**3/3 + 13*n**2/2 - 11*n + 156. Is y(-4) prime?
False
Let m = 55806 - 25826. Let n = m + -14819. Is n prime?
True
Let w(b) = -b**2 - 10*b. Let a be w(-10). Suppose -5*l + 0*l + 455 = a. Let y = l - -1078. Is y a prime number?
False
Let u(c) = -13*c**3 - 31*c**2 - 51*c - 71. Is u(-26) a composite number?
False
Let x(j) = -j - 21. Let q be x(-12). Let a = 11 + q. Suppose 1 = 3*m + 7, -4*l = a*m - 1456. Is l a composite number?
True
Suppose 0 = -3*m + 6*m + n - 10, -2*m - 12 = -4*n. Suppose -m*x = 3*s - 7093, -10*x + 2*s - 14198 = -14*x. Is x a composite number?
True
Let c = -3402 + 6768. Suppose 4*z - 2*z = -4*s - 4766, 4*z + 9562 = 2*s. Let x = c + z. Is x a prime number?
True
Let y(p) = 5*p - 53. Let g be y(11). Let o(h) = -4*h**2 + 5*h - 8. Let i be o(g). Is 586/((-8)/i*63/18) a composite number?
False
Suppose 4*h + 11*h = 31*h - 2766928. Is h prime?
True
Let t(w) = w**3 + 10*w**2 - 21*w + 11. Suppose 24 = -2*g - g. Is t(g) prime?
True
Let u(k) = -78*k**2 + 8 - 436*k + 194*k**2 + 454*k. Let l be u(-9). Suppose -l = 96*c - 98*c. Is c a composite number?
False
Let n = 187954 + -31013. Is n prime?
True
Let a(l) = l**3 - l**2 + 3*l + 21. Let h be a(0). Suppose z + h = 28. Let q(b) = b**3 - 4*b**2 - 3*b + 1. Is q(z) composite?
False
Suppose 275*h = 160*h + 18413265 + 52072420. Is h a composite number?
True
Suppose -6422 = 27*k + 4432. Let j = k - -613. Is j a prime number?
True
Let q(v) = 5*v**2 + 88*v + 2. Let n be q(-18). Suppose -n*s + 46934 = -7*s. Is s prime?
False
Let m(r) = 17*r**3 - 27*r**2 - 31*r - 93. Let v(l) = -5*l**3 + 9*l**2 + 10*l + 31. Let d(o) = -2*m(o) - 7*v(o). Is d(18) a composite number?
False
Suppose 2*v + 0*v = 6. Let l(o) = -o**3 + 122*o**2 - 913*o + 129. Let k be l(114). Suppose -m + 3*c + 883 = m, 0 = -v*c + k. Is m a prime number?
True
Let d be (-2)/(-4) + (-489253)/(-82). Suppose d = p + 4*h, -11*p - h - 17849 = -14*p. Is p a prime number?
False
Let l = -4143 + 45742. Is l a composite number?
True
Suppose -46*k = -52*k + 74490. Suppose -4*n - k + 3735 = 0. Let m = -1283 - n. Is m a composite number?
False
Suppose -23*k + 310154 + 146557 = 0. Suppose 0 = -57*t + 60*t - k. Is t composite?
False
Let t = -6 - -10. Let k = 1904 + -1900. Suppose -t*q + k*n + 503 = 71, 5*n - 364 = -3*q. Is q prime?
True
Suppose 6 = -7*f + 27. Let r(j) = 457*j - 10. Is r(f) prime?
True
Let w = 242 + -237. Suppose -36*r + 113939 = w*r. Is r a composite number?
True
Suppose -2*u - q = 122440, 5*u - 10*u = 3*q + 306099. Let v = 97018 +
|
{
"pile_set_name": "DM Mathematics"
}
|
c be ((-12600)/108)/(4/6). Let h = -397 + 274. Let u = h - c. What is the tens digit of u?
5
Let u = -10 - -95. What is the tens digit of u?
8
Suppose 3*b + 44 = 1922. What is the tens digit of b?
2
Let t be (-6)/24 + 30/(-8). Let h = -76 + 45. Let z = t - h. What is the tens digit of z?
2
What is the thousands digit of (4 - 4)/(-5) - (-3 + -2617)?
2
Let q be -24*(-3)/24*10. Suppose -6*g = -126 - q. What is the tens digit of g?
2
Let x = 1926 - 485. What is the hundreds digit of x?
4
Let i = 5 + -5. Let h = 0 + i. Let z = 4 - h. What is the units digit of z?
4
Let h(a) = -a**2 - 8*a + 6. Let c be h(-8). Let u = -8 - c. Let n = 44 + u. What is the units digit of n?
0
Let y be 1/(3/(-606)*-2). Suppose 2*r - 63 = -z, -r + 2*r = 2*z - y. What is the tens digit of z?
5
Let g be 2 + 0 + 1*-4. Let k be g/2 - (2 + -33). Suppose -3*b + 0*b + k = 0. What is the units digit of b?
0
Suppose 12 = 7*s - 3*s + v, s - 5*v - 3 = 0. What is the tens digit of 232 - (0/s)/(-4)?
3
Suppose -3*x = -3*h - 9 - 6, 4*x - 3*h = 25. Suppose j - x + 49 = 0. Let c = 62 + j. What is the tens digit of c?
2
Suppose n - 7 = -4. Suppose l = 54 + n. What is the units digit of l?
7
What is the units digit of 1310*(66/12 + -5)?
5
Let p = -5 + 10. Suppose -3*x - x = -m - 97, p*x - 5*m - 140 = 0. What is the tens digit of x?
2
Let k(r) be the first derivative of 2*r**2 + 1 - 1/4*r**4 - 4/3*r**3 - 4*r. What is the units digit of k(-5)?
1
Let s = 2117 + -1314. What is the hundreds digit of s?
8
Suppose 3*m = 5*l - 15947, -l + 3203 = -5*m + m. What is the tens digit of l?
8
Let i = 171 - 153. Let x = -14 - -3. Let z = i + x. What is the units digit of z?
7
What is the hundreds digit of 3572/36 + 1 - (-8)/(-36)?
1
What is the units digit of 3/9*939*4?
2
Suppose 4*c - 4 = 16. Suppose 4*v + 46 = c*n, -15 = 4*v + 4*n + 13. Let a = v + 34. What is the tens digit of a?
2
Suppose 1 = 3*w + 10. What is the units digit of 10 + (-4 + 10)/w?
8
Let y(s) = -372*s**3 + 2*s**2 - 5*s - 7. What is the units digit of y(-1)?
2
Suppose 45*s - 38*s = 16513. What is the units digit of s?
9
Suppose -r = -4*b - 958, 0 = r - 26*b + 28*b - 982. What is the hundreds digit of r?
9
Suppose 0 = 16*f - 17519 - 16817. What is the units digit of f?
6
Suppose -11425 = -13*w - 2806. What is the hundreds digit of w?
6
Let u(i) = i**3 - 5*i**2 - 5*i - 3. Let l be u(6). Suppose -l*r + 5*m + 237 = r, 0 = -r + m + 59. What is the units digit of r?
8
Suppose 9*v - 441 = 2214. What is the hundreds digit of v?
2
Let v(i) = 10*i - 2*i - 5*i + 1 + 7*i. What is the units digit of v(3)?
1
Let x(q) = -q**2 - 5*q. Let d be x(-6). Let z be d/4*4/(-3). Suppose z*s + 60 = 4*s. What is the units digit of s?
0
Let l(v) = -139*v + 2. Let r(s) = 93*s - 1. Let a(x) = 5*l(x) + 7*r(x). What is the units digit of a(-1)?
7
Suppose 5*h - b = b, 3*h + 2*b = 0. Suppose m - 34 = -h. Suppose m = 2*z + 4. What is the tens digit of z?
1
Let c = 1116 - 1105. Suppose 0 + 25 = 5*k. Let l = c + k. What is the tens digit of l?
1
Let l = -148 + 175. What is the tens digit of l?
2
Let d = 165 + -57. Suppose 28*s - 27*s - d = 0. Suppose -18*n = -15*n - s. What is the units digit of n?
6
Let w be 9/(-5*(-3)/15). What is the units digit of (0 + 70/(-3))*(w + -12)?
0
Suppose 3*k - 10 = -2*k, -2*j - 22 = -5*k. Let n = 7 + j. What is the tens digit of n - -2 - 462/(-14)?
3
Let x = -8 + 2. Let u be (-5 - -3)/(x/9). Suppose u*q + 2*s - 25 = -2*s, -4*q - s + 16 = 0. What is the units digit of q?
3
Let a = 1417 + -868. What is the hundreds digit of a?
5
What is the hundreds digit of (-35 + 34)/(-2 - (-11235)/5619)?
8
Suppose 4*v = -3*v. Suppose 5*i - 60 = -v*i. What is the tens digit of i?
1
Suppose 6 = -3*g, 3*j - 2*j + 432 = 3*g. What is the tens digit of ((-1)/2)/(3/j)?
7
Let u be (-2)/(-3) - (-11)/(-3). Let b(m) = -16*m + 9*m + 2*m - 17*m. What is the tens digit of b(u)?
6
Suppose -5291 = -15*v + 2*v. What is the hundreds digit of v?
4
Let n(l) be the second derivative of l**4/12 - 2*l**2 - l. Suppose 47 = -17*p + 22*p - 3*t, -5*p + 51 = -4*t. What is the units digit of n(p)?
5
Let w(i) = 3*i - 3. Let n be w(7). What is the units digit of n/45 + (-128)/(-5)?
6
Suppose 0 = -j - i + 55, 19 = j - i - 44. What is the tens digit of j?
5
Let n(d) = 14*d**2 - 19*d + 6. What is the hundreds digit of n(5)?
2
Let t(w) = 9*w - 17. Let k be t(4). Suppose 16*n + 264 = k*n. What is the units digit of n?
8
Suppose -z - 752 = -3*w + 4*w, -z + 1501 = -2*w. Let v = -450 - w. What is the hundreds digit of v?
3
Let t = -19 + 19. Suppose -3*x - 3*x + 150 = t. What is the units digit of x?
5
Suppose -3*s + 8 = 2*m - 5, 5*s - 4*m = 7. Let q(p) = 6*p - 190. Let r be q(32). Suppose 4*x = -3*b + 52, -s*x = -0*x - r*b - 22. What is the units digit of x?
0
What is the tens digit of (10 - (-7 + 20)) + 2*101?
9
Let b(x) = 11*x - 3. Let w(d) = d + 1. Let a(q) = -b(q) + 4*w(q). Let n(u) = -20*u + 20. Let t(f) = -11*a(f) + 4*n(f). What is the units digit of t(-7)?
4
Let k be (1 + 2)*(-72 + 5 + -1). Let t = k + 299. What is the tens digit of t?
9
Let o(v) = -v**3 - 16*v**2 - 14*v + 16. Let d be o(-15). What is the units digit of (1 - d)/3 - -20?
0
Let c = -315 + 457. What is the tens digit of c?
4
Let x = 1243 - 878. What is the tens digit of x?
6
Let n be -2*(-2 + -1 + 2). Let r be (40 - 7) + n + -2. Let l = r + -15. What is the units digit of l?
8
Let q(r) = -1007*r - 341. What is the tens digit of q(-3)?
8
Let l = -547 - -609. Let k(x) = -3*x**2 - 2*x + 1. Let q be k(-2). Let t = q + l. What is the units digit of t?
5
Let f = 543 + -78. What is the units digit of f?
5
Let r = 3424 + -1840. What is the units digit of r?
4
Let q be 7 - (-1)/(4/16). Suppose -q*c = -13*c + 28. What is the units digit of c?
4
Suppose 0 = -s + 2 - 3, -s - 171 = 5*b. Let t be b/221 - (-2)/13. What is the tens digit of (39 + -1 - t) + -4?
3
Let r(o) be the third derivative of -o**6/120 + o**5/6 + 13*o**4/24 + 11*o**3/6 + 22*o**2. What is the units digit of r(9)?
9
Suppose f + 0*f - 5 = 0. Suppose 2*h = f*n - 19, -n + 3*h + 15 = 2*n. Let d(q) = 15*q + 2. What is the tens digit of d(n)?
4
Let c = 7 + 1. Suppose -4*t + 2*u = 8, 3*u + 20 = 3*t + c*u. Suppose 2*j - 4*k - 52 = -16, -3*j - 2*k + 78 = t. What is the tens digit of j?
2
Let d = 13 - 9. What is the units digit of 9/(-18) + 86/d?
1
Let k(c) = -7*c + 4*c + 2*c + c**2 + 7. What is the tens digit of k(-4)?
2
Let y(w) = -w - 3*w**2 + 4*w + w**3 - 2*w**2 + 2*w**2 - 1. Let i be y(3). What is the tens digit of (-6)/i*(3 + -35)?
2
Let j = -14 - -423. What is the units digit of j?
9
What is the hundreds digit of (-260 + -12)*14/(-4)?
9
Suppose -12*c = 2420 - 16496. What is the thousands digit of c?
1
Suppose 3*z + 11125 = 3*b + 2677, -5*b - 4*z + 14116 = 0. What is the thousands digit of b?
2
Let p(b) = 10*b**2 + 10*b + 245. What is the hundreds digit of p(19)?
0
What is the hundreds digit of 5 - (74/259 - 20402/14)?
4
Let f(x) = 4*x - 10. Let p be f(7). Let s = p - 15. Suppose -s*b + 5*c = -19, b + 4*c + c + 7 = 0. What is the units digit of b?
3
Let k(z) = 11 + 13 + 3*z - 7*z + 3*z. Let m be k(10). Suppose 0*j - m = -j. What is the units digit of j?
4
Let t = 35 - 35. Suppose t = -5*q - 2*q + 231. What is the tens digit of q?
3
What is the thousands digit of 10731*(1 + 10)/33?
3
Let t = -2 - -5. Suppose 0*x + 8 = t*q + x, 0 = 5*q + 5*x. What is the units digit of q?
4
Let c(t) = 4*t**2 - t - 1. Let l be c(-1). Suppose -99 = -q + l*f, 0 = -f - f - 2. What is the units digit of ((-6)/(-30))/(1/q)?
9
Let d(l) = l**3 - 6*l**2 + 2*l + 5. Let x be d(5). Let y = 10 - 5. Let f = y - x. What is the tens digit of f?
1
Suppose f = 3*g + 2, g - 2*g = -3*f + 6. Let b(q) = 4*q**2 - 2 - 7*q**f + q + q**3 - 1 - 3*q**2. What is the units digit of b(6)?
3
What is the tens digit of ((-427)/(-14))/(4*5/600)?
1
Let m be 0/(-5)*1/(-2). Let o be (m - -12)/(15/20). Suppose o = -3*z + 58. What is the units digit of z?
4
Let a(m) = 5*m - 1. Let x be a(1). Suppose -60 = -x*y + 24. What is the units digit of y?
1
Let n(t) = -5*t + 17. Let y(d) = d. Let w(p) = n(p) + 4*y(p). What is the units digit of w(-18)?
5
What is the tens digit of 3/6 - 119/(-2)?
6
Suppose 500 = 2*r + 2*b, -4*b + 1223 = 5*r - 8*b. What is the tens digit of r?
4
Let y(n) = n**2 - 3 + n**2 - 3*n**2 + 6*n**2 + 2*n - n**3. Let
|
{
"pile_set_name": "DM Mathematics"
}
|
hat is prob of picking 2 z when two letters picked without replacement from {c: 3, z: 1, i: 1, w: 2}?
0
Calculate prob of picking 2 j when two letters picked without replacement from {j: 2, f: 16}.
1/153
Calculate prob of picking 3 p when three letters picked without replacement from cgccapmamppbagm.
1/455
What is prob of picking 2 j when two letters picked without replacement from {j: 4, h: 2, s: 1, a: 7, r: 6}?
3/95
Two letters picked without replacement from xbubvbc. What is prob of picking 2 b?
1/7
What is prob of picking 2 g and 2 e when four letters picked without replacement from {g: 3, e: 4}?
18/35
Calculate prob of picking 1 l and 1 j when two letters picked without replacement from djdijddddilj.
1/22
What is prob of picking 2 r when two letters picked without replacement from rrrirrrirrrirrr?
22/35
What is prob of picking 2 r when two letters picked without replacement from krrk?
1/6
Two letters picked without replacement from zzpgpgeppbepgep. Give prob of picking 1 g and 1 e.
3/35
What is prob of picking 1 h and 3 r when four letters picked without replacement from qzzoooohrooloo?
0
Two letters picked without replacement from {e: 1, a: 1, r: 2, d: 4, l: 5, q: 2}. Give prob of picking 2 l.
2/21
Four letters picked without replacement from jjjjjjjjjjjjjjbjjjjj. Give prob of picking 4 j.
4/5
Two letters picked without replacement from ouuuovhuuououvuuouoo. Give prob of picking 1 u and 1 h.
1/19
Two letters picked without replacement from {x: 5, g: 9}. What is prob of picking 2 x?
10/91
What is prob of picking 2 o, 1 s, and 1 v when four letters picked without replacement from {o: 4, s: 3, v: 4}?
12/55
Calculate prob of picking 3 n when three letters picked without replacement from {n: 4, c: 7}.
4/165
Three letters picked without replacement from nvubjnjujbvvv. Give prob of picking 1 b and 2 j.
3/143
Three letters picked without replacement from fanftonofnnon. Give prob of picking 1 o, 1 t, and 1 a.
3/286
What is prob of picking 1 b and 1 o when two letters picked without replacement from bbbbobobbo?
7/15
What is prob of picking 2 f when two letters picked without replacement from mmfzmfzzzzmzfff?
2/21
Four letters picked without replacement from {l: 2, p: 1, f: 4, m: 1, r: 5, y: 2}. What is prob of picking 2 f, 1 r, and 1 m?
2/91
Four letters picked without replacement from {e: 5, v: 3}. What is prob of picking 4 e?
1/14
Four letters picked without replacement from {w: 14, v: 5}. What is prob of picking 4 v?
5/3876
Two letters picked without replacement from ndfolof. What is prob of picking 1 f and 1 o?
4/21
Two letters picked without replacement from {j: 1, t: 1, i: 1, g: 1, q: 4}. Give prob of picking 1 g and 1 t.
1/28
Three letters picked without replacement from {f: 1, v: 1, l: 3, s: 5, k: 2, a: 3}. Give prob of picking 1 v and 2 l.
3/455
What is prob of picking 1 s, 2 b, and 1 a when four letters picked without replacement from baabaabssseaaaaaaau?
33/1292
Three letters picked without replacement from {q: 1, s: 1, a: 1, o: 2, x: 1, h: 1}. Give prob of picking 1 h, 1 q, and 1 s.
1/35
What is prob of picking 1 d and 2 g when three letters picked without replacement from ggdggggdgg?
7/15
Two letters picked without replacement from {j: 1, m: 1, o: 1, i: 2}. What is prob of picking 1 j and 1 m?
1/10
What is prob of picking 2 c, 1 i, and 1 s when four letters picked without replacement from {c: 8, i: 1, s: 2, r: 1, d: 5}?
2/85
Four letters picked without replacement from {l: 1, x: 2, i: 3, c: 1}. Give prob of picking 1 c, 1 x, and 2 i.
6/35
Four letters picked without replacement from {w: 2, t: 2}. What is prob of picking 3 t and 1 w?
0
Calculate prob of picking 1 v and 3 t when four letters picked without replacement from {v: 2, a: 1, t: 1}.
0
Four letters picked without replacement from gzxgxggzsxxxxgssghgx. Give prob of picking 1 h and 3 x.
7/969
Calculate prob of picking 4 i when four letters picked without replacement from xjnininnnnssijdinss.
1/3876
Three letters picked without replacement from qaanntktna. Give prob of picking 1 q, 1 a, and 1 n.
3/40
Three letters picked without replacement from zzzzzzzzvzpzzzzuupz. What is prob of picking 1 p and 2 u?
2/969
Three letters picked without replacement from jhvtrtfjjhrjj. Give prob of picking 2 h and 1 r.
1/143
Three letters picked without replacement from nqyiqvg. Give prob of picking 1 v, 1 i, and 1 n.
1/35
Three letters picked without replacement from vvyvooo. What is prob of picking 3 o?
1/35
Four letters picked without replacement from {y: 1, k: 1, r: 2, g: 1, b: 2}. Give prob of picking 1 k, 1 y, 1 b, and 1 g.
2/35
Four letters picked without replacement from {e: 4, u: 5, w: 5, s: 1, v: 4}. Give prob of picking 3 w and 1 v.
10/969
Four letters picked without replacement from {h: 10, t: 1, i: 7}. Give prob of picking 2 h, 1 t, and 1 i.
7/68
Two letters picked without replacement from hrhhrhhll. What is prob of picking 1 l and 1 h?
5/18
Two letters picked without replacement from okooossosrcj. What is prob of picking 1 r and 1 o?
5/66
Calculate prob of picking 1 g, 2 a, and 1 e when four letters picked without replacement from {g: 2, i: 7, a: 2, e: 7}.
7/1530
What is prob of picking 3 u and 1 p when four letters picked without replacement from {p: 1, u: 14}?
4/15
What is prob of picking 1 s and 1 t when two letters picked without replacement from {s: 7, t: 9}?
21/40
What is prob of picking 1 r, 1 s, and 1 z when three letters picked without replacement from tzzozstotztrsm?
2/91
Calculate prob of picking 1 d and 1 p when two letters picked without replacement from {d: 3, x: 2, j: 6, p: 1, e: 1}.
1/26
Calculate prob of picking 1 z, 2 c, and 1 g when four letters picked without replacement from hgnccppzn.
1/126
What is prob of picking 2 d and 1 i when three letters picked without replacement from {i: 2, d: 3}?
3/5
Calculate prob of picking 4 w when four letters picked without replacement from wwkwwk.
1/15
What is prob of picking 2 p when two letters picked without replacement from {g: 6, p: 7}?
7/26
What is prob of picking 2 k when two letters picked without replacement from nzznzmkkkk?
2/15
Calculate prob of picking 1 k and 1 l when two letters picked without replacement from {k: 1, l: 1, p: 1}.
1/3
What is prob of picking 2 e and 1 v when three letters picked without replacement from {d: 3, v: 1, e: 4}?
3/28
Two letters picked without replacement from ehr. Give prob of picking 1 e and 1 h.
1/3
What is prob of picking 4 f when four letters picked without replacement from {x: 2, w: 1, f: 4, i: 2}?
1/126
Two letters picked without replacement from jmwojpcmmjmccjjj. What is prob of picking 1 o and 1 j?
1/20
Three letters picked without replacement from kzexezpk. What is prob of picking 1 p and 2 e?
1/56
Calculate prob of picking 2 d and 2 g when four letters picked without replacement from {g: 3, d: 5}.
3/7
Three letters picked without replacement from {w: 3, v: 4, o: 4, b: 2, a: 1}. What is prob of picking 2 v and 1 w?
9/182
What is prob of picking 1 c, 1 o, 1 d, and 1 a when four letters picked without replacement from coaxd?
1/5
Calculate prob of picking 2 u and 1 o when three letters picked without replacement from {u: 3, t: 8, o: 2, i: 6}.
2/323
Four letters picked without replacement from {l: 12, s: 2, d: 3}. Give prob of picking 4 l.
99/476
Two letters picked without replacement from iizay. Give prob of picking 1 z and 1 i.
1/5
What is prob of picking 1 v and 1 y when two letters picked without replacement from yvgvvgvvgvgyv?
7/39
Three letters picked without replacement from ioiowwwfoiwiwwg. Give prob of picking 3 i.
4/455
Three letters picked without replacement from {i: 17, f: 2}. What is prob of picking 2 f and 1 i?
1/57
Four letters picked without replacement from wdddddwddddddddddd. Give prob of picking 3 d and 1 w.
56/153
Calculate prob of picking 1 n, 1 a, 1 p, and 1 k when four letters picked without replacement from aaanmjpaknjaajnj.
9/910
Calculate prob of picking 1 n and 1 t when two letters picked without replacement from {n: 2, t: 1, k: 9, f: 2}.
2/91
Three letters picked without replacement from {j: 3, s: 2, o: 5}. Give prob of picking 1 s and 2 j.
1/20
Four letters picked without replacement from {q: 13, s: 1, e: 3}. What is prob of picking 3 e and 1 s?
1/23
|
{
"pile_set_name": "DM Mathematics"
}
|
ment from bfrbfffzzzz. Give prob of picking 1 b and 1 f.
8/55
What is prob of picking 2 i and 2 q when four letters picked without replacement from iqeeqi?
1/15
Three letters picked without replacement from {v: 6, y: 1, a: 3, w: 3, c: 1}. Give prob of picking 2 v and 1 y.
15/364
Two letters picked without replacement from xqqfqss. Give prob of picking 1 s and 1 q.
2/7
Three letters picked without replacement from seulluullsell. Give prob of picking 2 l and 1 e.
15/143
What is prob of picking 1 j and 2 n when three letters picked without replacement from dataajtjnandandaadda?
1/190
Two letters picked without replacement from {w: 1, s: 1, v: 1, p: 2}. What is prob of picking 1 w and 1 v?
1/10
Calculate prob of picking 1 d and 1 a when two letters picked without replacement from dxlwxxyyxxaaaxwxxw.
1/51
Two letters picked without replacement from xxxxxyvyvy. What is prob of picking 1 v and 1 y?
2/15
Three letters picked without replacement from nnoonooons. What is prob of picking 1 s and 2 o?
1/12
Four letters picked without replacement from nlnnlnzuldzn. Give prob of picking 2 n, 1 l, and 1 z.
4/33
Four letters picked without replacement from wppwwvwvywvwypwwwvvw. Give prob of picking 1 v, 1 y, and 2 p.
2/323
Calculate prob of picking 1 t, 1 g, and 2 d when four letters picked without replacement from {j: 2, t: 1, z: 1, d: 2, n: 1, g: 2}.
1/63
Calculate prob of picking 1 h, 2 k, and 1 a when four letters picked without replacement from flhkklkkfalffff.
2/455
Three letters picked without replacement from {l: 1, k: 2, d: 5, h: 1}. Give prob of picking 2 d and 1 k.
5/21
What is prob of picking 3 y when three letters picked without replacement from yyyyyyyykkykyy?
165/364
What is prob of picking 3 d when three letters picked without replacement from {m: 5, b: 1, l: 1, g: 2, d: 5, j: 1}?
2/91
What is prob of picking 3 s and 1 w when four letters picked without replacement from cswwwswscs?
8/105
Calculate prob of picking 1 q and 1 o when two letters picked without replacement from {o: 1, q: 7}.
1/4
What is prob of picking 1 u and 1 n when two letters picked without replacement from hunuu?
3/10
Three letters picked without replacement from {c: 2, z: 2, b: 4}. Give prob of picking 2 b and 1 c.
3/14
Calculate prob of picking 2 k and 1 y when three letters picked without replacement from yykkl.
1/5
Two letters picked without replacement from {p: 4, r: 2, v: 2, k: 1}. Give prob of picking 1 v and 1 k.
1/18
Two letters picked without replacement from sdsssssisdiqdddiosoo. Give prob of picking 1 q and 1 i.
3/190
What is prob of picking 3 s when three letters picked without replacement from syseuuhxyusxsyu?
4/455
What is prob of picking 1 d, 1 p, and 1 k when three letters picked without replacement from dkdqquqdpukkkgpp?
9/140
Calculate prob of picking 1 k and 3 t when four letters picked without replacement from {k: 2, t: 7}.
5/9
What is prob of picking 2 q when two letters picked without replacement from qcuquccuqcqcqqcqu?
21/136
What is prob of picking 1 m and 1 r when two letters picked without replacement from {m: 3, r: 8}?
24/55
Four letters picked without replacement from {x: 6, p: 1, y: 1, s: 1}. Give prob of picking 1 x, 1 s, 1 y, and 1 p.
1/21
Three letters picked without replacement from {z: 5, j: 1, d: 3, a: 2, x: 8, o: 1}. Give prob of picking 1 z, 1 j, and 1 d.
1/76
What is prob of picking 1 h and 3 u when four letters picked without replacement from suusshhushhs?
4/495
Two letters picked without replacement from fuufuuuuuluflffffl. What is prob of picking 1 u and 1 f?
56/153
Calculate prob of picking 1 z and 1 e when two letters picked without replacement from zzzzzzzzzzzzzzzzzeez.
18/95
Two letters picked without replacement from nqnnnnnnnnqnnqqnnn. Give prob of picking 2 q.
2/51
Calculate prob of picking 2 z when two letters picked without replacement from dzdzzz.
2/5
Two letters picked without replacement from rcccgcrcmcmcfcfgr. Give prob of picking 2 m.
1/136
Two letters picked without replacement from {f: 4, w: 3, s: 2}. Give prob of picking 1 f and 1 w.
1/3
What is prob of picking 2 y when two letters picked without replacement from {q: 2, y: 5, t: 4}?
2/11
Calculate prob of picking 2 k when two letters picked without replacement from kssskjks.
3/28
Three letters picked without replacement from {n: 1, a: 2, z: 1, h: 1}. Give prob of picking 2 a and 1 h.
1/10
Three letters picked without replacement from {e: 11, z: 9}. Give prob of picking 1 e and 2 z.
33/95
Four letters picked without replacement from {c: 5, n: 4, a: 2}. Give prob of picking 2 c and 2 n.
2/11
What is prob of picking 1 b and 1 u when two letters picked without replacement from {l: 2, u: 12, g: 2, b: 2}?
8/51
Four letters picked without replacement from iuuuuuuuuiuu. What is prob of picking 2 i and 2 u?
1/11
Calculate prob of picking 1 v and 2 f when three letters picked without replacement from fffffffvvvf.
28/55
Two letters picked without replacement from tttdddttwtttttt. Give prob of picking 1 d and 1 w.
1/35
Two letters picked without replacement from ududuuuu. Give prob of picking 2 d.
1/28
Two letters picked without replacement from {j: 7, b: 1, y: 8, a: 2, w: 2}. What is prob of picking 1 a and 1 b?
1/95
What is prob of picking 1 r and 1 u when two letters picked without replacement from {i: 1, d: 1, u: 1, r: 1, k: 1}?
1/10
What is prob of picking 1 t and 1 s when two letters picked without replacement from tiiiisistdiispsti?
3/34
Four letters picked without replacement from {c: 3, q: 3, m: 8, y: 3}. What is prob of picking 1 m, 2 q, and 1 c?
18/595
Calculate prob of picking 4 e when four letters picked without replacement from xeeeeeeexeeeexeexeee.
364/969
Four letters picked without replacement from ppttgptgp. Give prob of picking 2 p and 2 g.
1/21
Calculate prob of picking 1 t, 1 s, and 1 c when three letters picked without replacement from {b: 1, t: 1, s: 2, r: 2, c: 1, u: 1}.
1/28
Three letters picked without replacement from oxehl. What is prob of picking 1 x, 1 h, and 1 e?
1/10
Three letters picked without replacement from pkphwkhhwh. Give prob of picking 3 h.
1/30
Three letters picked without replacement from fffkxffefffffk. What is prob of picking 1 x and 2 f?
45/364
Two letters picked without replacement from {a: 4, m: 2, z: 2}. What is prob of picking 2 z?
1/28
What is prob of picking 2 b when two letters picked without replacement from eebzdezezzdbdb?
3/91
Calculate prob of picking 2 i and 1 j when three letters picked without replacement from {a: 2, y: 4, d: 1, h: 4, j: 2, i: 7}.
7/190
Two letters picked without replacement from uuouoruuokrfuk. What is prob of picking 1 k and 1 o?
6/91
What is prob of picking 3 k when three letters picked without replacement from kqkvvqkkkvkkvkkqqqk?
40/323
Three letters picked without replacement from mttttmaaamamtm. Give prob of picking 1 a and 2 m.
10/91
Two letters picked without replacement from {c: 8, h: 2, f: 7, m: 1}. Give prob of picking 1 c and 1 h.
16/153
Three letters picked without replacement from {k: 2, l: 1, n: 3, v: 1}. Give prob of picking 2 n and 1 k.
6/35
What is prob of picking 2 v and 2 c when four letters picked without replacement from vzccnvcvnvccnmv?
20/273
Four letters picked without replacement from dduuuu. Give prob of picking 1 d and 3 u.
8/15
Calculate prob of picking 1 t, 1 s, and 1 m when three letters picked without replacement from {r: 4, m: 1, s: 4, t: 9, j: 2}.
3/95
Two letters picked without replacement from {v: 1, l: 1, o: 1, u: 1, w: 1}. Give prob of picking 1 l and 1 w.
1/10
Two letters picked without replacement from rzzktpzzmmpzzzz. Give prob of picking 1 z and 1 t.
8/105
Three letters picked without replacement from {n: 1, z: 2, x: 1, p: 1, q: 2, o: 1}. What is prob of picking 1 p, 1 n, and 1 z?
1/28
What is prob of picking 1 w and 1 l when two letters picked without replacement from {f: 1, w: 2, l: 3, h: 4}?
2/15
Calculate prob of picking 2 g when two letters picked without replacement from gfgfuuugu.
1/12
Calculate prob of picking 1 k and 2 d when three letters picked without replacement from {d: 4, k: 9, e: 1}.
27/182
Two letters picked without replacement from {s: 11, h: 5}. What is prob of picking 1 s and 1 h?
11/24
Two letters picked without replacement from {a: 3,
|
{
"pile_set_name": "DM Mathematics"
}
|
28184
What is the t'th term of 745, 784, 841, 910, 985, 1060?
-t**3 + 15*t**2 + t + 730
What is the i'th term of -55, -200, -373, -520, -587?
9*i**3 - 68*i**2 - 4*i + 8
What is the m'th term of -8201, -16415, -24629, -32843, -41057, -49271?
-8214*m + 13
What is the k'th term of -1343, -2691, -4035, -5381, -6735, -8103?
-k**3 + 8*k**2 - 1365*k + 15
What is the j'th term of -25650, -25658, -25668, -25680, -25694, -25710, -25728?
-j**2 - 5*j - 25644
What is the t'th term of 25812, 51613, 77414, 103215, 129016?
25801*t + 11
What is the b'th term of 8381, 8369, 8349, 8321, 8285, 8241?
-4*b**2 + 8385
What is the q'th term of -75, -346, -817, -1488?
-100*q**2 + 29*q - 4
What is the w'th term of -181147, -181148, -181151, -181156, -181163?
-w**2 + 2*w - 181148
What is the o'th term of -228073, -456143, -684213, -912283?
-228070*o - 3
What is the b'th term of -11501, -23006, -34511, -46016?
-11505*b + 4
What is the n'th term of 233247, 466491, 699735, 932979?
233244*n + 3
What is the w'th term of 5373, 10768, 16163, 21558?
5395*w - 22
What is the v'th term of 983, 2144, 3327, 4544, 5807, 7128?
2*v**3 - v**2 + 1150*v - 168
What is the p'th term of 92, 119, 174, 263, 392?
p**3 + 8*p**2 - 4*p + 87
What is the j'th term of 382, 662, 942, 1222?
280*j + 102
What is the a'th term of 150559, 150482, 150353, 150172, 149939?
-26*a**2 + a + 150584
What is the a'th term of 2871, 2778, 2685?
-93*a + 2964
What is the n'th term of 106, 393, 684, 979, 1278, 1581?
2*n**2 + 281*n - 177
What is the n'th term of -4323, -8626, -12905, -17148, -21343, -25478?
2*n**3 - 4317*n - 8
What is the n'th term of 265371, 265370, 265369, 265368?
-n + 265372
What is the j'th term of -79243, -79237, -79217, -79177, -79111, -79013, -78877, -78697?
j**3 + j**2 - 4*j - 79241
What is the g'th term of -43, -96, -159, -238, -339, -468?
-g**3 + g**2 - 49*g + 6
What is the n'th term of -11166, -44662, -100490, -178650, -279142, -401966, -547122?
-11166*n**2 + 2*n - 2
What is the s'th term of -1687, -1707, -1739, -1789, -1863?
-s**3 - 13*s - 1673
What is the y'th term of -190, -29, 406, 1253, 2650, 4735?
23*y**3 - y**2 + 3*y - 215
What is the h'th term of -543, -1083, -1597, -2079, -2523, -2923, -3273?
h**3 + 7*h**2 - 568*h + 17
What is the t'th term of 152, 216, 284, 362, 456?
t**3 - 4*t**2 + 69*t + 86
What is the u'th term of 25, 811, 1597, 2383, 3169?
786*u - 761
What is the p'th term of -1914, -3824, -5728, -7620, -9494, -11344, -13164, -14948?
p**3 - 3*p**2 - 1908*p - 4
What is the q'th term of 1171, 941, 711, 481?
-230*q + 1401
What is the c'th term of -12940, -51752, -116438, -206998, -323432, -465740?
-12937*c**2 - c - 2
What is the n'th term of -1942, -3873, -5804?
-1931*n - 11
What is the h'th term of 8543, 8541, 8539, 8537, 8535?
-2*h + 8545
What is the u'th term of -311, -610, -901, -1178, -1435, -1666, -1865, -2026?
u**3 - 2*u**2 - 300*u - 10
What is the z'th term of -7483, -7318, -7051, -6688, -6235, -5698, -5083, -4396?
-z**3 + 57*z**2 + z - 7540
What is the x'th term of -1539840, -1539839, -1539838, -1539837, -1539836?
x - 1539841
What is the w'th term of 3028, 2331, 1634?
-697*w + 3725
What is the s'th term of -6484, -6466, -6448, -6424, -6388, -6334?
s**3 - 6*s**2 + 29*s - 6508
What is the s'th term of -1613, -3171, -4727, -6281, -7833, -9383, -10931?
s**2 - 1561*s - 53
What is the w'th term of -75, -145, -193, -207, -175, -85, 75?
2*w**3 - w**2 - 81*w + 5
What is the v'th term of -13995, -13996, -13997, -13998?
-v - 13994
What is the t'th term of 12, 51, 106, 177, 264?
8*t**2 + 15*t - 11
What is the v'th term of 164, 554, 1592, 3602, 6908, 11834?
54*v**3 + 12*v + 98
What is the h'th term of -15693, -31370, -47039, -62694, -78329, -93938, -109515, -125054?
h**3 - 2*h**2 - 15678*h - 14
What is the c'th term of -187231, -374461, -561691, -748921, -936151?
-187230*c - 1
What is the l'th term of -4376, -8854, -13332?
-4478*l + 102
What is the t'th term of 45, 261, 805, 1833, 3501, 5965?
26*t**3 + 8*t**2 + 10*t + 1
What is the i'th term of -531973, -1063939, -1595905, -2127871?
-531966*i - 7
What is the g'th term of 582, 897, 1226, 1575, 1950?
g**3 + g**2 + 305*g + 275
What is the n'th term of -1183, -2362, -3537, -4708, -5875, -7038?
2*n**2 - 1185*n
What is the g'th term of 2929, 3209, 3979, 5485, 7973, 11689, 16879, 23789?
41*g**3 - g**2 - 4*g + 2893
What is the o'th term of -2465, -2530, -2595, -2660, -2725, -2790?
-65*o - 2400
What is the k'th term of -112763, -112762, -112761, -112760, -112759?
k - 112764
What is the w'th term of 107, 575, 1043, 1511, 1979?
468*w - 361
What is the s'th term of 231, 477, 733, 999, 1275, 1561?
5*s**2 + 231*s - 5
What is the p'th term of 5620, 22531, 50716, 90175, 140908, 202915, 276196?
5637*p**2 - 17
What is the v'th term of -46832, -93704, -140562, -187400, -234212, -280992, -327734, -374432?
v**3 + v**2 - 46882*v + 48
What is the m'th term of 6614, 6615, 6618, 6623, 6630, 6639, 6650?
m**2 - 2*m + 6615
What is the j'th term of -62385, -124753, -187109, -249453?
6*j**2 - 62386*j - 5
What is the l'th term of 94, 59, 24, -11, -46?
-35*l + 129
What is the g'th term of 6883331, 6883332, 6883333, 6883334, 6883335?
g + 6883330
What is the f'th term of 191, 750, 1685, 2996, 4683, 6746, 9185?
188*f**2 - 5*f + 8
What is the r'th term of -3170, -12782, -28840, -51344, -80294, -115690, -157532?
-3223*r**2 + 57*r - 4
What is the h'th term of -2950, -11800, -26550, -47200?
-2950*h**2
What is the j'th term of 147, 366, 655, 1014?
35*j**2 + 114*j - 2
What is the o'th term of -738, -746, -760, -780, -806, -838, -876?
-3*o**2 + o - 736
What is the m'th term of -731, -762, -783, -788, -771, -726, -647?
m**3 - m**2 - 35*m - 696
What is the v'th term of -10, -22, -46, -88, -154, -250, -382?
-v**3 - 5*v - 4
What is the f'th term of 494, 1907, 4238, 7487, 11654?
459*f**2 + 36*f - 1
What is the s'th term of -3806, -15391, -34700, -61733, -96490, -138971, -189176?
-3862*s**2 + s + 55
What is the q'th term of -21, -99, -223, -393?
-23*q**2 - 9*q + 11
What is the o'th term of 60, 83, 120, 171, 236, 315, 408?
7*o**2 + 2*o + 51
What is the t'th term of -14662, -58634, -131916, -234508, -366410, -527622, -718144?
-14655*t**2 - 7*t
What is the s'th term of 79, 74, 49, -8, -109, -266, -491?
-2*s**3 + 2*s**2 + 3*s + 76
What is the p'th term of 29, -109, -525, -1357, -2743, -4821, -7729?
-23*p**3 - p**2 + 26*p + 27
What is the x'th term of -11, -43, -115, -245, -451, -751?
-3*x**3 - 2*x**2 - 5*x - 1
What is the o'th term of -14, -86, -158, -230?
-72*o + 58
What is the s'th term of -27, -111, -277, -567, -1023?
-7*s**3 + s**2 - 38*s + 17
What is the b'th term of 98, 197, 314, 461, 650?
2*b**3 - 3*b**2 + 94*b + 5
What is the y'th term of -156, -557, -1186, -2031, -3080, -4321, -5742, -7331?
2*y**3 - 126*y**2 - 37*y + 5
What is the v'th term of 1368, 2943, 4518, 6093, 7668?
1575*v - 207
What is the d'th term of -97, -476, -1231, -2464, -4277, -6772, -10051, -14216?
-17*d**3 - 86*d**2 - 2*d + 8
What is the d'th term of 102, -112, -470, -972, -1618, -2408?
-72*d**2 + 2*d + 172
What is the d'th term of 6284, 6261, 6200, 6083, 5892, 5609, 5216, 4695?
-3*d**3 - d**2 + d + 6287
What is the h'th term of 1666, 3155, 4644, 6133, 7622, 9111?
1489*h + 177
What is the m'th term of -120, -433, -938, -1635, -2524, -3605, -4878?
-96*m**2 - 25*m + 1
What is the t'th term of 12794, 12805, 12832, 12881, 12958, 13069?
t**3 + 2*t**2 - 2*t + 12793
What is the a'th term of 12897, 25786, 38671, 51558, 64453, 77362, 90291, 103246?
a**3 - 8*a**2 + 12906*a - 2
What is the c'th term of 456, 485, 520, 561, 608, 661?
3*c**2 + 20*c + 433
What is the o'th term of -2435, -4510, -6585, -8660, -10735, -12810?
-2075*o - 360
What is the b'th term of 690, 2719, 6100, 10833, 16918?
676*b**2 + b + 13
What is the n'th term of -22782, -45555, -68328, -91101?
-22773*n - 9
What is the g'th term of 475, 470, 503, 610, 827?
6*g**3 - 17*g**2 + 4*g + 482
What is the g'th term of -824, -267, 290, 847, 1404, 1961?
557*g - 1381
What is the i'th term of 380569, 761139, 1141709?
380570*i - 1
What is the t'th term of -97309, -194619, -291927, -389233, -486537, -583839, -681139?
t**2 - 97313*t + 3
What is the x'th term of -44621, -89236, -133847, -178454, -223057, -267656?
2*x**2 - 44621*x - 2
What is the s'th term of -311, -293
|
{
"pile_set_name": "DM Mathematics"
}
|
o l*j**2 + h*j**4 + i + y*j + u*j**3 and give h.
13
Express -2*r - r - r + (4*r - 3*r + r)*(3 - 3 + 1) + (2 - 5 + 0)*(-4*r + 9*r + 4*r) in the form t*r + k and give t.
-29
Express (-2*h + 3*h - 2*h)*(h**3 + 2*h**3 + h**3) + (-2*h + h - h)*(-2*h**3 + 2*h**3 + 2*h**3) as i + b*h**2 + l*h**3 + j*h**4 + u*h and give j.
-8
Rearrange 2*w + 4*w**3 - 2*w + (5*w + 0*w - 2*w)*(-2 + 0*w**2 + 5*w**2 - 3*w**2) to q + z*w**3 + i*w**2 + a*w and give a.
-6
Express -61*m + 110*m - 19*m as x + a*m and give a.
30
Rearrange 5 - 2 - 55*n**2 - 2*n**4 - n + 58*n**2 - n**3 to the form p + x*n**2 + b*n + c*n**3 + y*n**4 and give p.
3
Rearrange 14*z + 29*z + 65*z - 13*z to k + t*z and give k.
0
Express -4*r**2 + 21 + 0*r - 8*r**2 + 10*r**2 + r in the form l*r**2 + f + q*r and give l.
-2
Rearrange (o - o - 3*o)*(-6 + 3 + 1)*(-2 + 2 - 3)*(o**2 - 4*o**2 + 5*o**2 - 6*o) to the form i + q*o + u*o**2 + s*o**3 and give s.
-36
Rearrange 39*m - 7*m - 17*m + 2 - 2*m - 2 + (2 - 2 + 2)*(-3*m - m + 2*m) to v*m + b and give v.
9
Express v - 4*v - 2*v as l*v + y and give y.
0
Rearrange -166*f**2 - f**4 + 0*f + 165*f**2 - 2*f to the form a*f + c*f**4 + z + g*f**3 + n*f**2 and give n.
-1
Express 5*z + 14*z + 15 - 18*z in the form g*z + a and give a.
15
Express -5 + z**2 + 0*z**2 - z - 2*z**3 + 3*z**3 as x + i*z**2 + s*z**3 + u*z and give x.
-5
Express 3 - 2*n**3 - 20 - 2*n**4 + 7*n**4 - 2*n**4 in the form c*n**3 + i + q*n + l*n**2 + b*n**4 and give i.
-17
Rearrange (6 - 3 - 2)*(5*c**2 + 2*c**2 + 0*c**2) to d*c**2 + r*c + h and give d.
7
Rearrange (w + 0*w - 3*w + (1 - 1 + 2)*(2*w + 0*w + 0*w) - 4 - 7*w + 4)*(-2 - 2 + 7)*(-3 + 7*w + 3) to y*w**2 + j*w + g and give g.
0
Rearrange -4*q**4 + 7*q**4 + 2*q**3 - 6*q**2 + 5*q**2 to r*q**4 + n*q**3 + a + y*q**2 + w*q and give w.
0
Express 108 - 108 + 176*r as z*r + n and give z.
176
Express (-5 + 8 + 19)*(-2*a**3 + 0*a + 0*a) as z*a + d*a**2 + f*a**3 + s and give f.
-44
Express -2 - 3*l**2 + 2 + 0*l**2 as o + i*l**2 + c*l and give i.
-3
Rearrange (-2*y + 1 - 1)*(-3*y**2 + 3*y**2 + y**3) - y**4 - 5*y**4 - 2*y**4 to n*y**3 + f*y**2 + o*y + w + s*y**4 and give s.
-10
Express ((4*i - i - i)*(0 + 0 + 2) + 2*i - 4 + 4 - 2 + 2 - i - 5*i - i + 4*i)*(14 + 20*i - 14) in the form w*i + k*i**2 + p and give k.
60
Rearrange -10 - 13 + 2*t**2 - 21*t + 23 to the form y*t**2 + j + o*t and give y.
2
Rearrange b**2 - b**2 + 21 + 2*b**2 - 4*b**2 to k + w*b**2 + h*b and give w.
-2
Express (1 + 3 - 2)*(1 + 3 - 5)*(-3*l**3 + 19*l**3 + 19*l**3) in the form x + y*l + m*l**2 + t*l**3 and give t.
-70
Express 12*g**2 - 8*g**2 + 5 - 3*g**3 - 5 - 4*g in the form r*g**2 + x + b*g**3 + w*g and give x.
0
Rearrange (1 - 4 + 2)*(0*x + x + 2*x) - 3*x + 0*x + 4*x - 2*x - 2 - 4*x + 4 to v*x + z and give z.
2
Express 8 - 9 - 2*c - 1 - c**2 + 0*c**4 - 2*c**4 as o + d*c**3 + z*c + b*c**4 + w*c**2 and give w.
-1
Express 6 - 6*f - 6 - 18*f in the form p*f + s and give s.
0
Express (1 - 1 - 1)*(-39 + 39 + 11*m**2 + m + (2 + 1 - 1)*(0 - m**2 + 0)) as c*m + g*m**2 + n and give g.
-9
Rearrange 5*t**3 - t**4 - 2*t**2 + 5 - 6 + 0*t**4 - 1 to the form u*t**4 + c + v*t + j*t**3 + h*t**2 and give j.
5
Rearrange -1 + 8*u - 3*u**3 + 0*u + 5*u**3 - 3*u**4 - 6*u to the form o*u + g*u**4 + m*u**3 + j*u**2 + w and give j.
0
Express (5 - 4 - 4)*(4*a - 4*a + 3*a**4) + (2*a**2 - a**2 + 4*a**2)*(-6*a**2 + 3*a**2 + 4*a**2) in the form q + n*a + w*a**3 + i*a**2 + z*a**4 and give z.
-4
Rearrange -3*f + 13*f + 6*f to the form c + g*f and give g.
16
Express (-f**2 - 2*f**2 + 2*f**2)*(-14*f**2 + 41*f**2 + 0*f**2) as g*f**3 + r + c*f**2 + m*f + b*f**4 and give b.
-27
Rearrange (2 - 7 - 6)*(13 - 13 - 6*d)*(4 + d - 4 + 1) to r*d**2 + b*d + f and give r.
66
Rearrange -5*y**2 + 3*y**3 + 5*y**2 - 4 + 0*y**2 to the form f*y + o*y**3 + h*y**2 + p and give p.
-4
Express (-4*d - 2 + d + d)*(4*d**3 - 4*d**3 + 3*d**3) + (-d**2 + 3*d**2 + d**2)*(-3*d**2 - 3*d**2 + 4*d**2) as s + m*d**3 + q*d**2 + b*d**4 + p*d and give m.
-6
Express (3*r + 0*r - r)*(2 + 1 + 1) + 3*r - 3*r - 3*r + 0*r - 3*r + 3 - 5 in the form m*r + n and give n.
-2
Rearrange (2 - 1 + 1)*(b + 4*b - 3*b) - 2 - 9*b + 7*b + b to the form u*b + r and give r.
-2
Rearrange b**2 - 8*b**3 + 2*b**3 + 14*b**3 + b**2 to the form c + h*b**2 + a*b**3 + r*b and give h.
2
Express 4 - 12*i - 4 in the form s + p*i and give p.
-12
Rearrange 3*a**4 + 5 - 5 + (4*a + a - 3*a)*(-a**3 - a**3 - 3*a**3) + 2*a**4 + 3 - 3 to m*a**4 + j*a**3 + h*a + c*a**2 + t and give m.
-5
Rearrange (-1 - 4 + 6)*(-3 - 1 + 3)*(0 + 0 + a) to h*a + b and give h.
-1
Express (4*d**2 - 5*d**2 + 0*d**2)*(-d + d + 3*d)*(2*d - 5 + 5) in the form j*d**3 + q*d**2 + t + o*d**4 + m*d and give o.
-6
Rearrange -12 + 12 - 13*i to h + x*i and give x.
-13
Rearrange (4*h**2 + 2*h**2 - 4*h**2)*(2*h - h + 0*h) + 21*h + 3*h**3 + 3 - 12*h - 10*h to the form n*h**2 + j*h**3 + t*h + k and give j.
5
Express -4*i + 2*i - 7*i + (-2 + 2 - 2*i)*(1 + 1 + 0) + 3*i - 4*i + 0*i in the form r + n*i and give n.
-14
Express (30 - 30 - 9*o + (-4*o + 6*o + 0*o)*(3 - 5 + 1))*(-6*o + 4*o + 3*o - 2) in the form r*o + m*o**2 + n and give r.
22
Rearrange 0*t + 3*t - 4*t + 0*t + 2*t + 3*t + (-4*t + 4*t + 2*t)*(1 - 1 + 3) to j*t + p and give j.
10
Rearrange (-1 + 5 - 2)*(3*h**2 - 3*h**2 - 9*h**4) - 4*h**4 + 2*h**4 + 6*h**4 to x*h**4 + j + c*h**3 + m*h**2 + q*h and give x.
-14
Rearrange (-n**4 + 0*n**3 - 2*n**3 + 3*n**4)*(10 + 27 + 0) to the form z + k*n**2 + i*n + v*n**3 + t*n**4 and give v.
-74
Rearrange 11*i**3 - 3*i**2 - 6*i**3 - 2*i**3 + 3*i to k*i + d*i**3 + w*i**2 + n and give k.
3
Express 2*l**2 - 1 - 135*l + 135*l as x*l + o*l**2 + s and give s.
-1
Rearrange (-p + 0 + 0)*(-3*p + p**2 - p + 2*p + 3) to w*p**3 + k*p + n + d*p**2 and give k.
-3
Express -4*i**2 + 5*i**2 - 2*i**2 - 3 as c*i + o + b*i**2 and give b.
-1
Express 26*z + 8*z - 14*z as c + j*z and give j.
20
Express (-1 + 1 - 1)*(x + 0*x - 3*x) + 2*x - 2*x + x - 2*x + 4*x + 0*x + 48 - 48 + 9*x + 5*x - 6*x - x as t + p*x and give p.
12
Express c**4 + 11 - 28 + 4 - 2*c**2 + 11 as x*c**4 + w*c + v*c**2 + f*c**3 + j and give j.
-2
Rearrange (j**2 + j - j)*(4*j - 3*j + j) + (4 - 4 + 2*j)*(5*j**2 + 13*j**2 + j**2) to the form n*j**2 + d + t*j**3 + x*j and give t.
40
Express r + 230 - 8*r**2 - 230 as s*r**2 + x*r + a and give s.
-8
Rearrange (-1 - 1 + 3)*(0 - 2*h + 0 + (-1 + h + 1)*(-3 + 5 - 1) - 2*h + 4*h + 6*h) - 2*h + 3*h - 3*h to q*h + z and give q.
5
Rearrange -1109*k - 2 + 2*k**2 - 3*k**2 + 1113*k - 2*k**4 to x*k + n*k**4 + q*k**3 + b + g*k**2 and give x.
4
Express -4*w**3 + 1 + 1 - w**3 + 6*w**3 - 5*w in the form c*w**2 + t*w + s*w**3 + q and give t.
-5
Rearrange -v**2 + 5 - 2 + 0 - v + v**4 - 5 to the form y*v**3 + d*v + p*v**2 + o + t*v**4 and give d.
-1
Express 5*p + 7*p - 6*p in the form z*p + m and give z.
6
Express -3*g**3 + 3 + 2*g - 1 + g**3 - 6 as d*g**3 + w*g + a*g**2 + p and give d.
-2
Rearrange (4*f**3 - 2*f**3 + 0*f**3)*(-12*f + 4*f - 17*f) to p*f**4 + w + c*f**2 + h*f**3 + b*f and give h.
0
Rearrange 41*z**3 - 36*z**3 - 19*z**3 + (-2*z + 2*z + 2*z**2)*(-z - 3 + 3) to t*z**3 + j*z + i*z**2 + g and give t.
-16
Express -39*j + 64*j + 48*j as c + x*j and give x.
73
Express 50 + l**2 - 50 + 3*l as g*l**2 + t*l + w and give t.
3
Express (-1 + 1 + 7)*(-2*x + 5*x + x) as n + w*x and give n.
0
Rearrange (-25 + 25 + 13*l**2)*(2*l + 0 + 0)*(-2 - 1 + 4) to t*l**3 + y + g*l + x*l**2 and give t.
26
Express 3*a + a + 5*a**2 - 5*a as v*a + w*a**2 + s and give w.
5
Rearrange (-7 - 3 - 8)*(-t + 0*t + 0*t)*(-2 - 2 + 2) to b*t + w and give b.
-36
Express 9*i**4 - 7*i**4 + 4 + 0 - i as a*i + b*i**3 + y*i**4 + r + h*i**2 and give y.
2
Express -3*u - 2*u + 3*u + (2 + 0 + 0)*(2*u - 3*u + 2*u) - 2 + 2*u + 2 + 4 - 5*u - u + 3*u as f*u + i and give f.
-1
Rearrange 25*o + 2 + 0 - 22*o + 2 to the form l + u*o and give l.
4
Rearrange -3*u - 11*u**2 - 17*u**2 - 15*u**2 + 44*u**2 - 4 + 3*u**3 to the form h*u**3 + v + f*u**2 + x*u and give h.
3
Express -80*y**3 + 78*y**3 + 33*y + 1 + 5*y as s*y**3 + n*y**2 + q + b*y and give s.
-2
Express 13 - 17*f - 13 in the form i + u*f and give u.
-17
Express t**3 + 4*t - t**3 + 5*t**3 - 6*t**3 in the form w*t + x*t**3 + v + j*t**2 and give w.
4
Express (3*g - 3*g + 2*g)*(-7*g - g + 3*g)*(0*g + 3*g - 2*g) as m*g**3 + h*g**2 + b + p*g and give m.
-10
Express 3
|
{
"pile_set_name": "DM Mathematics"
}
|
4 + 9 + -1
-4
(-2 - 5 - -3) + 5
1
-14 + -7 + 10 + 8
-3
What is -10 - (9 + (6 - 23))?
-2
What is the value of 3 + (9 - 12 - -2)?
2
What is the value of (1 - 2) + (4 + -11 - -9)?
1
What is the value of (3 - (7 - 1)) + 6?
3
Calculate 4 + 0 + -4 + (-7 - -2).
-5
What is the value of 5 - ((-33 - -36) + -1 + 0)?
3
Evaluate -1 - 10 - (40 - 47).
-4
Calculate (1 - 2) + -3 + 0.
-4
What is the value of 12 - (0 + 1) - 12?
-1
-2 - (-2 - (-4 + -2))
-6
What is the value of 3 + -3 - -2 - -1?
3
What is 2 - -15 - 4 - 6?
7
What is the value of (-1 - (-1 + 2)) + 6?
4
What is 2 + -2 + 0 + 1 + 2?
3
What is -11 + (18 - -9) - 9?
7
What is -10 + 5 + -2 - (-4 - 9)?
6
(-80 - -77) + -4 + 0
-7
What is the value of 5 - (2 + 8 + -5)?
0
Calculate 3 - -2 - (-1 - -5) - -4.
5
Calculate (24 - 27 - (1 - 9)) + 2.
7
Calculate 0 - -4 - -14 - 9.
9
Calculate -5 + (-2 + 7 - 2).
-2
Calculate (-1 - 1) + 3 + -3 + 4.
2
What is 2 + -7 + 8 + -4?
-1
What is the value of -17 + 20 - (0 - -1 - 1)?
3
3 - (2 + 3 + 0)
-2
Calculate (0 + -1 - 0) + 1 - -2.
2
0 + 3 + 0 + -2
1
Evaluate -12 - ((0 - 5) + 0).
-7
-5 - -4 - -8 - 2
5
What is (-11 + 5 - -4) + -1?
-3
Evaluate -3 - (-6 + 3 + -5).
5
What is the value of -9 + 8 + 2 + -49 + 43?
-5
Calculate 10 - -2 - (9 - 4) - 7.
0
What is (2 - 0) + -5 + 5 + -7?
-5
Calculate 5 - (0 + -6 - -8).
3
What is the value of 1 + -8 - (8 - (-9 - -21))?
-3
-5 + 6 + -5 + 6
2
What is the value of (2 - -3) + (-29 - -23)?
-1
What is the value of -7 + 1 + (19 - 2) + -4?
7
Calculate 3 + -5 - 1 - (-1 - 1).
-1
Evaluate 0 + (1 - 1) - 1 - 3.
-4
Evaluate 3 + -1 - (2 - 2).
2
What is 22 + (-13 - -4) + -4?
9
Calculate 7 - (-4 + 15) - (0 + -2).
-2
Evaluate (0 - (-3 + 1 - 4)) + -3.
3
What is -8 + (0 - -9) + (42 - 50)?
-7
(0 + (-1 - -2) - 1) + 1
1
Evaluate -2 - (27 + -30 + -2 + 0).
3
-1 + -9 + 1 + 8
-1
What is the value of 11 + (1 - 9 - -3)?
6
Calculate (3 - 2) + (2 - (-1 + -1)).
5
What is the value of -9 + (-2 - -7) + 8?
4
What is (4 - (-4 + 2 - -1)) + -5?
0
What is the value of 5 + -6 + 1 - 5?
-5
Calculate -4 + 3 + (-9 - -5).
-5
What is 4 - ((0 - 2 - 2) + 8)?
0
What is the value of -1 + 3 - (4 + 2 + 1)?
-5
Calculate -2 + -6 + 5 + 1 + -2.
-4
Calculate 6 + 1 + 8 + -6 + -10.
-1
Evaluate -3 + -4 + 6 + 2.
1
Calculate 1 - (10 + -11 + (0 - 1)).
3
What is the value of -7 + (-4 + 16 - 6)?
-1
What is the value of -3 - (12 + -19 + 7 + 6)?
-9
-36 + 42 - (2 + -5 - -3)
6
What is the value of 6 - 6 - (2 + -4)?
2
Calculate 10 + -8 + -1 + 3 + 3.
7
What is the value of -3 - (4 - ((-3 - 3) + 10))?
-3
5 + -1 - (6 + 0 - -3)
-5
What is the value of 2 - (0 + -3 - -5 - 2)?
2
Evaluate (6 - (4 + -6)) + -5.
3
What is the value of -1 - -6 - (5 + 2 + 0)?
-2
Calculate -3 + 2 + (-8 + 1 - -4).
-4
What is the value of -12 + 2 - (14 + -18) - -12?
6
What is the value of (0 - 23) + 8 + 7?
-8
Evaluate -4 + 3 + -4 + 0.
-5
What is the value of 4 + (3 + 1 - 2) - 7?
-1
Calculate -1 - -5 - (0 + 15 - 17).
6
-4 + (7 - 3) + (-5 - -2)
-3
Evaluate (61 - 57) + (-2 - 0).
2
What is 4 - (-5 - (-6 - 3))?
0
2 + ((2 - 1) + -2 - 1)
0
(4 - (6 - 3 - -1)) + -2
-2
Calculate (-3 - -1) + 5 + -3 + -4.
-4
What is -3 - (-4 - -4) - -1?
-2
Calculate 5 + -11 + 9 - (3 + -1).
1
Calculate 0 - (-8 - (-10 + 1)).
-1
Calculate -5 - ((-54 - -58) + (-2 - 0)).
-7
What is 4 + (-4 - -3 - 5) + -3?
-5
What is the value of -5 - (3 - 5) - (0 - -3)?
-6
-99 + 96 + 0 + 0
-3
Calculate -9 + (-9 - (-14 - 2)).
-2
What is the value of -2 + 11 + -7 + -3?
-1
-1 + 1 + 7 + 4 + -8
3
Evaluate 7 + -3 - (-2 - (0 - 2)).
4
Evaluate (6 - 14) + 1 + 3.
-4
What is (-10 - -2 - -4) + 6 + -3?
-1
What is -5 - (2 + -3 + -6)?
2
Calculate -14 + 0 - (209 - 212).
-11
Calculate (-3 - 8) + 7 - (-1 + 2).
-5
(77 - 76) + -1 + 0
0
(-13 - -6) + 3 + -2
-6
Evaluate (-8 - -7 - 2 - 1) + 6.
2
-61 + 51 - (-3 - 1)
-6
Calculate -4 + (-7 + 8 + 6 - 14).
-11
Calculate -7 + (-3 + 2 - -6).
-2
What is the value of -6 + (14 - 6) + -5?
-3
What is the value of 1 + 0 + 1 + -3 + 2?
1
What is 2 + 2 - (-17 - -22)?
-1
-5 + (-6 - -3) - -5
-3
Evaluate -10 - (-4 - (-2 - -2)).
-6
Evaluate 1 + -27 + 23 + 1 + 2.
0
-9 + 17 + -15 + 5
-2
Evaluate -6 + -2 - (53 + -55).
-6
What is -1 - -6 - (4 + -3)?
4
Evaluate 1 + (-18 + 3 - -9).
-5
What is the value of 0 - (5 + -7 + 4 - 1)?
-1
What is the value of -14 + 1 + 5 - -3?
-5
What is the value of 3 + (-10 + 1 + 2 - 1)?
-5
Evaluate (6 - 13 - 3) + 8 + 12.
10
What is 4 - ((1 - 2) + 2)?
3
What is 2 - 3 - (10 + -12) - 0?
1
Calculate (2 + (0 - 3) - 0) + -3.
-4
What is the value of 8 - 2 - (-5 - (-9 - -4))?
6
What is the value of 11 - ((13 - 9) + 7)?
0
What is the value of 13 - 21 - 2 - -6?
-4
What is the value of (-3 - -4 - (5 - 0)) + 3?
-1
Calculate (-14 - 5) + (3 - 2) - -8.
-10
Evaluate 4 + (1 + -15 - -4).
-6
1 + (10 - 3) + -4
4
What is 1 + 0 + 4 - (-35 - -44)?
-4
Evaluate 3 + (-2 - (-4 - -7)).
-2
What is the value of 5 - (8 - 3 - (-7 + 10))?
3
What is the value of (4 - 5) + -6 + 3?
-4
What is 1 - (1 + 0 + 1)?
-1
Evaluate -4 - ((5 - 3) + -2).
-4
-5 - (9 + -2 + -4) - -3
-5
What is the value of -2 + -5 + 8 - -4?
5
3 + (-6 - -3) - 1
-1
What is 2 + (-2 - 6) + 2?
-4
Calculate -3 + (2 - (3 - -1 - 3)).
-2
What is the value of -1 + -14 + 5 + 3 + 2?
-5
What is -2 - (-1 - (5 + 1 + -1))?
4
-8 + 0 + 8 - 2
-2
-29 - (-52 + 26) - (-1 - -7)
-9
What is the value of 3 + -1 + (-2 - (-2 + 1))?
1
Evaluate 16 + -14 + 9 + -5.
6
What is the value of -5 - ((-4 - 2) + 5 + -7)?
3
Evaluate -2 + (3 - 3) - (0 + -5).
3
What is (8 - 4) + 1 + 0 - -2?
7
What is -3 - (3 - 3) - (-1 - -2)?
-4
5 + (3 - 6 - (1 - 0))
1
What is the value of -1 + (2 - -1 - 0 - 2)?
0
What is (4 - (5 - -13)) + 18?
4
-7 + (3 - 4 - -8)
0
What is 9 + (-70 - -63 - (1 - 2))?
3
Evaluate 9 - (15 - (-6 + 13)).
1
Evaluate 2 - (0 - -4) - 0.
-2
Evaluate 7 - ((-1 - -8) + -4 - -4).
0
Evaluate (-7 - 4) + 1 + 2 - -3.
-5
-1 - ((-8 - 2) + 6)
3
Evaluate 9 - (4 - 6 - -7).
4
Evaluate 3 + 4 + -4 + 0 + 0.
3
What is -5 + 2 + 0 + -1?
-4
What is 10 + -9 + 9 - 7?
3
Evaluate 3 - (-4 + (-3 - -6) + 0).
4
Calculate 1 + -5 - (-4 + -5).
5
Calculate (4 - 2) + -6 - -2.
-2
What is (9 + -17 - -7) + 3?
2
-2 - -1 - 3 - -5
1
What is 2 + -1 + (2 - 2)?
1
Calculate -21 - -17 - (0 + -1 + -7).
4
What is the value of -13 + 23 + -12 - (3 - 11)?
6
Calculate 17 - 21 - (0 + -5 - -2).
-1
Evaluate -91 + 80 - (-7 - 0).
-4
Calculate -2 + -1 - (-2 + -1 + 2).
-2
4 - (6 - -2 - (0 - -2))
-2
What is the value of (-3 - -8 - 7) + (-2 - -2)?
-2
What is the value of (6 - 3 - 6) + (3 - 3)?
-3
Evaluate -5 + 4 - (-2 + 7 - 0).
-6
What is -4 + 5 + -1 - -1?
1
What is -3 + 9 + (-2 - -3) + -4?
3
Calculate 3 + -4 - (-1 + 3 + -1).
-2
Calculate -2 - -8 - (-11 - -15).
2
What is the value of -3 - (-6 - -13 - 13)?
3
1 + -4 + 2 + -3
-4
Calculate 0 - (2 + -4 - (-1 - 2)).
-1
What is -7 + 5 + 2 + 3?
3
Evaluate 3 + 0 + -1 + -4 + -1.
-3
What is the value of -6 + -11 - -12 - (1 + 2)?
-8
What is the value of -7 - -6 - (-9 + 8)?
0
What is the value of (-4 - (-2 - 8)) + 3?
9
-2 + 1 - -4 - -7
10
Evaluate 12 + -5 + (-1 - 5) + 1.
2
Evaluate 0 - (-4 + 5 + 3) - -3.
-1
Evaluate 29 + -16 + -16 + (-2 - -5).
0
What is -2 + (-5 - -9) - -2?
4
What is the value of 2 + -10 - -6 - -1?
-1
What is the value of 3 - (-4 - (5 - (8 + 5)))?
-1
Calculate -2 - -2 - (-2 - 6).
8
What is 6 + 1 + -3 + 20 + -18?
6
What is the value of 1 + 4 + 5 + 6 + -13?
3
11 + 9 + -6 + -5
9
Evaluate (-20 - -15) + 4 + -1.
-2
What is 7 + -13 + 13 + -8?
-1
(-4 + 11 - 13) + 6
0
Calculate (-8 - (-1 - 3)) + 0.
-4
What is (-15 - -4) + (-7 - (-16 - -7))?
-9
What is the value of (-6 - -11) + 1 - 7?
-1
Evaluate 8 - ((-10 + 4 - -1) + 9).
4
Evaluate (2 - -2) + -4 + 5.
5
What is the value of (3 - -1) + (9 - (-7 - -15))?
5
5 - (7 + -3 + -3)
4
Calculate 9 - 9 - (2 + 3).
-5
Evaluate -1 + -1 + 5 - (0 - -7).
-4
-48 + 52 - (-1 - -13)
-8
Evaluate -4 - 7 - -6 - -8.
3
What is 3 + (-1 - 0) - (9 + -5)?
-2
3 + 2 + (1 + 3 - 4)
5
2 + -7 + -9 - -8
-6
Calculate 21 + -21 - (-7 - -1).
6
What is -4 + -6 + 17 + -6?
1
What is (-3 - 1) + (7 - 2)?
1
What is 8 + -14 + 12 + -3?
3
What is the value of 2 - (-10 + 8 + 4)?
0
Calculate (-2 - -3) + (-6 - -1).
-4
Calculate (5 - -4) + (6 - 3) + -6.
6
What is the value of (-1 - 1 - (-9 + 5)) + -1?
1
Calculate 4 + -8 + 4 - 5.
-5
-4 - (16 + -14 - (0 - 2))
-8
Evaluate 6 + -1 - (-13 + 17).
1
Calculate 0 + 6 + -1 + 1 - 6.
0
-62 + 76 - (2 - -9)
3
What is -1 - (2 - 16) - 5?
8
(7 - (-5 +
|
{
"pile_set_name": "DM Mathematics"
}
|
c)/c*c**(-4/7) assuming c is positive.
c**(79/21)
Simplify (f**(-6))**(-3/23) assuming f is positive.
f**(18/23)
Simplify f**(-5)*f/f**(6/13) assuming f is positive.
f**(-58/13)
Simplify (v**11/(v*(v**(-4/3)*v)/v))**(1/6) assuming v is positive.
v**(17/9)
Simplify (r**(-21)/r**(9/8))**(-1/15) assuming r is positive.
r**(59/40)
Simplify ((((y/y**(-2/11))/y)/y)/y)/(y*y*y**(-1/2)/y)*((y**1*y*y)/y)**(3/16) assuming y is positive.
y**(-171/88)
Simplify ((z**(-10)*z)**15)**18 assuming z is positive.
z**(-2430)
Simplify (z**(-2/49)*z)/((z**(1/55)*z*z*z)/z*z) assuming z is positive.
z**(-5549/2695)
Simplify l*l**(1/3)*l**(-3)*l/(l**0*l)*l**5/l assuming l is positive.
l**(7/3)
Simplify (t/(t*t/((t**(-1/5)/t)/t)))**(-7/2) assuming t is positive.
t**(56/5)
Simplify ((a/((a**1*a)/a))/a*a*a)/(a*a**(7/6)*a) assuming a is positive.
a**(-13/6)
Simplify (h*(h*(h**(-9/7)*h)/h)/h*h)/h**(-8) assuming h is positive.
h**(61/7)
Simplify w**3*w**(-5/2)*(w**(-4)*w)/(w/(w*w**(-3)/w)*w*w) assuming w is positive.
w**(-17/2)
Simplify ((s/(s*s*((s/(s/(((s*s**(-4)*s)/s*s*s)/s)))/s)/s))/(s*s**(3/5)*s))**(2/15) assuming s is positive.
s**(4/75)
Simplify k**(-8)*k/k**(-1/5) assuming k is positive.
k**(-34/5)
Simplify (d*(d**14/d)/d*d)/d*d*d**(-1/52) assuming d is positive.
d**(727/52)
Simplify i/(i*i*i**(-13))*i*i*i**6 assuming i is positive.
i**20
Simplify ((o**5*o)/(o*o/(o**(-3)*o)))/(o/o**(3/8)*o*o**(-1)/o*o) assuming o is positive.
o**(11/8)
Simplify b**0/b**11 assuming b is positive.
b**(-11)
Simplify (m/((m/m**8)/m))**(-1/16) assuming m is positive.
m**(-9/16)
Simplify (x**1*x*x*x/(x*x**(2/7)/x))**(-2/77) assuming x is positive.
x**(-52/539)
Simplify (((c/c**(-3/4))/c)/c*c)/(c/(c**(-10)*c)) assuming c is positive.
c**(-37/4)
Simplify r**(2/13)*r**(-2) assuming r is positive.
r**(-24/13)
Simplify ((m**(-3))**39)**14 assuming m is positive.
m**(-1638)
Simplify t**(-4/9)/(t/(t/(t*t**9*t))) assuming t is positive.
t**(-103/9)
Simplify (n**(20/9)*n*n)/n*n**(-6) assuming n is positive.
n**(-25/9)
Simplify g**15/g**(2/49) assuming g is positive.
g**(733/49)
Simplify (j**(-5/2)/j)**(-3/19) assuming j is positive.
j**(21/38)
Simplify x**(-2/23)*x**(-1/9) assuming x is positive.
x**(-41/207)
Simplify (h**7*h)**(-48) assuming h is positive.
h**(-384)
Simplify c**(-1/12)*c**1 assuming c is positive.
c**(11/12)
Simplify (l**(-2/5)*l)**(-3/5)/(l**(-2/5))**(-5/6) assuming l is positive.
l**(-52/75)
Simplify (i*i/(i/(i**4*i))*i**(-9))**4 assuming i is positive.
i**(-12)
Simplify (q*q**(-6)*q*(q/((q**(-2/9)*q)/q))/q*q)**(-40) assuming q is positive.
q**(1000/9)
Simplify (t/(t/(t**27/t)*t))/(t*t**(-18/11)) assuming t is positive.
t**(282/11)
Simplify ((a/(a/((a/((a*(a/a**(1/2))/a)/a*a))/a*a*a)))/(a*a**3))/((a**4*a)/(a**7*a)) assuming a is positive.
sqrt(a)
Simplify (h/h**(1/5))**(1/4) assuming h is positive.
h**(1/5)
Simplify (x**(-1/2))**(-26)/(x**(3/5)*x**(-4/5)) assuming x is positive.
x**(66/5)
Simplify (t*t**(-2/7))**27/(t**(-2/3))**15 assuming t is positive.
t**(205/7)
Simplify ((n/(n/n**(5/7)))/(n**(4/7)/n))**(-13) assuming n is positive.
n**(-104/7)
Simplify (x**(5/9))**39 assuming x is positive.
x**(65/3)
Simplify (((h/(h**10*h))/h)/h**(-2/5))/(h/(h/(h*h**(3/7))*h)*h**(2/19)) assuming h is positive.
h**(-7404/665)
Simplify (o**(1/4))**18*((o*o/((o/o**0)/o)*o)/o)/(o/(o/(o*o**(1/6)))) assuming o is positive.
o**(16/3)
Simplify (y/(y**(2/5)/y))**44/(y/y**(-2/5))**(5/11) assuming y is positive.
y**(3837/55)
Simplify ((k*k**(2/9)/k)/(k/(k/k**(-3))))/(k**(2/7))**(4/5) assuming k is positive.
k**(943/315)
Simplify (j/j**(-1))**(-49)*(j*j**(1/3))**(-14/15) assuming j is positive.
j**(-4466/45)
Simplify i**(1/2)*i/((i/((i/((i**(2/11)*i)/i))/i))/i*i)*(i/i**(-1/4))**(-8/9) assuming i is positive.
i**(-157/198)
Simplify (u/(u*u/((u**(-27)*u*u)/u)*u*u*u)*u)/u*u**(7/4)/u assuming u is positive.
u**(-117/4)
Simplify n**(-25)*n/(n**20*n*n) assuming n is positive.
n**(-46)
Simplify x/(x**(-12)/x*x)*x/(x*x**6) assuming x is positive.
x**7
Simplify ((g/(g**0/g)*g*g)/g*g/(g**(-2/3)*g)*g)/(g**(-2/5)*g**6) assuming g is positive.
g**(-14/15)
Simplify (z**8/z)/z**(-6/5)*z**(-2/11)*z/(z/z**(-1/7)) assuming z is positive.
z**(3032/385)
Simplify ((g*g/g**(-2)*g)/(g*g**(-11/5)*g))**(-2/17) assuming g is positive.
g**(-52/85)
Simplify (s**(-2)/s)**(1/50) assuming s is positive.
s**(-3/50)
Simplify f**33*f/((f**(-2/9)/f)/f) assuming f is positive.
f**(326/9)
Simplify (h**0)**(-16)/(h**(-2/21)*h*h**(2/5)) assuming h is positive.
h**(-137/105)
Simplify (r**(-6)*r**(-4/11)*r)/(r**(-1))**(21/8) assuming r is positive.
r**(-241/88)
Simplify ((u/(u**5*u*u*u*u))/u**9)/(u**(-7)*u**8) assuming u is positive.
u**(-18)
Simplify ((c*c*c**0*c*c)/c*c/(c*c*c/(c/c**(-2)))*c)/(((c/(c/c**0))/c)/c*c/((c**6/c)/c)) assuming c is positive.
c**10
Simplify (g**(-2/11)/g*g)/(g**(-2)/g)*g**8*g*(g/(g/(g*g**(-4/7)*g*g)))/g assuming g is positive.
g**(1020/77)
Simplify o/(o/(o/o**2))*o*o*o/(o/(o/(o*o**(-2/37)))) assuming o is positive.
o**(39/37)
Simplify c*c*(c**4/c*c*c)/c*c**(-1/3)*(c*c**(1/3))**(-2) assuming c is positive.
c**3
Simplify ((y/((y*y**(-1))/y))/(y/y**(2/9)))**(-49) assuming y is positive.
y**(-539/9)
Simplify (q/((q*q**43)/q)*q)/((q**(-38)/q)/q) assuming q is positive.
1/q
Simplify (i*i**(-1/6))/(i/(i*i**(2/5)*i*i)) assuming i is positive.
i**(97/30)
Simplify ((u**0*u)**(-49))**(-1/33) assuming u is positive.
u**(49/33)
Simplify g*g/g**(4/3)*g**(2/15)*((g/(g/g**4))/g)/((g*g**(2/15))/g) assuming g is positive.
g**(11/3)
Simplify (i**(-10)*(i/(i/i**(-10))*i*i)/i)/(i*i/(i/(i**2*i)))**37 assuming i is positive.
i**(-167)
Simplify (f*f*f**(-10)/f*f*f/(f/f**(1/16)))**(-2/113) assuming f is positive.
f**(127/904)
Simplify (b**(3/4)/(b*b*b/(b/b**(-2/3))))/((b/(b*b*b**4*b))/(b**6/b*b)) assuming b is positive.
b**(137/12)
Simplify (h/(h**(-2/3)*h*h))**(-6/25)/(h**(-1)*h/h**(-2/17)) assuming h is positive.
h**(-16/425)
Simplify w**21/((w*w**(6/5))/w*w*w) assuming w is positive.
w**(89/5)
Simplify r**1/((r*r**(3/2))/r)*(r*r/r**(-1/2))**21 assuming r is positive.
r**52
Simplify (s**(-1/4)/((s**(-1/2)*s)/s))**(6/25) assuming s is positive.
s**(3/50)
Simplify (d**2/d)/(d*d**(-1/10)) assuming d is positive.
d**(1/10)
Simplify d**(3/2)*d**(4/9) assuming d is positive.
d**(35/18)
Simplify ((i**(-3/10)*i)**(3/29))**(4/3) assuming i is positive.
i**(14/145)
Simplify (d/(d**(1/3)*d))**(3/4)/(d*d/(d/(((d/(d*d**(-1/3)/d))/d)/d)))**(-4/3) assuming d is positive.
d**(7/36)
Simplify (x**9*x*x**5)/((x*x**(-5))/((x/(x/x**(-4))*x)/x)) assuming x is positive.
x**15
Simplify (v*(v*v**3*v*v)/v*v*v**(-7))**24 assuming v is positive.
1
Simplify (l**(3/4)*l*l*l**(-2/11))**49 assuming l is positive.
l**(5537/44)
Simplify (i/((i/(i**(-1/3)/i))/i))**(-46)*(i*i**(-2/5))/(i**3*i) assuming i is positive.
i**(179/15)
Simplify ((p**(-2/7)/p)**(2/27))**28 assuming p is positive.
p**(-8/3)
Simplify (((o*o/o**(1/3))/o)**(2/3))**(-44) assuming o is positive.
o**(-176/9)
Simplify m**0/m*m/m**26 assuming m is positive.
m**(-26)
Simplify ((w*w/w**(-2/9))/w)**(-24)*(w**(-2/3))**6 assuming w is positive.
w**(-100/3)
Simplify (r**(3/7))**(-17)/(r**9/r*r**(-2/9)/r) assuming r is positive.
r**(-886/63)
Simplify (a**(2/13)*a/((a*a**(-2/9)*a*a)/a))**46 assuming a is positive.
a**(-3358/117)
Simplify (z**(-2/23))**(5/11) assuming z is positive.
z**(-10/253)
Simplify ((f/((f*f**(-1/2)*f)/f))/f)**38*(f*f/f**(-6))/f**5 assuming f is positive.
f**(-16)
Simplify o**(-1/37)*o**(-4/3)/o*o assuming o is positive.
o**(-151/111)
Simplify (s*s/(s/(s*s/s**(-1/10))))**(-18/11) assuming s is positive.
s**(-279/55)
Simplify ((j*j**(2/3))**23)**(9/8) assuming j is positive.
j**(345/8)
Simplify b*b*b*b*b**(-1/3)/b*b**1*(b*b**(2/3)*b)**40 assuming b is positive.
b**(331/3)
Simplify o**(14/3)*o**(-28) assuming o is positive.
o**(-70/3)
Simplify ((s*s*s/(s**(2/5)*s)*s)**(-4/25))**(-8/5) assuming s is positive.
s**(416/625)
Simplify (i**(-1))**6 assuming i is positive.
i**(-6)
Simplify ((y**0/y)**23)**(2/9) assuming y is positive.
y**(-46/9)
Simplify (g**(1/9)/g**(-12))**27 assuming g is positive.
g**327
Simplify s**10*s**(-7) assuming s is positive.
s**3
Simplify d**15/d**(-16/3) assuming d is positive.
d**(61/3)
Simplify (c*(c/(c/(c/(c/(c/c**(2/3)))))*c*c)/c)**13 assuming c is positive.
c**(
|
{
"pile_set_name": "DM Mathematics"
}
|
s w even?
False
Let n(m) = 2*m**2 + 2*m - 4*m + 3*m. Does 12 divide n(4)?
True
Let t(v) = v**2 + v + 1. Let k(i) = -3*i**3 - 6*i**2 - 6*i - 6. Let j(h) = k(h) + 5*t(h). Let w be ((-4)/(-6))/((-3)/9). Is j(w) a multiple of 10?
False
Let y be 26 + 5 + (-5 - -2). Suppose 0*n + y = 2*n. Is 6 a factor of n?
False
Let w be (-3 + (-3 - -4))/2. Let r(t) = 44*t**2 - 1. Is r(w) a multiple of 11?
False
Let o(c) = c**2 + 1. Let g be o(4). Let b be 2/3 + 25/3. Let l = g - b. Is 6 a factor of l?
False
Let w(i) = 6*i + 7. Does 5 divide w(3)?
True
Let q(y) = -96*y**2 + 2*y. Let w(s) be the third derivative of -4*s**5/5 + s**4/24 + s**2. Let o(g) = -3*q(g) + 5*w(g). Is o(1) a multiple of 16?
False
Suppose -468 = -2*r - 4*r. Does 6 divide r?
True
Let j(b) = 11*b - 7. Suppose -d + 6 = 1. Let v be j(d). Suppose 0*n + 4*n = v. Does 11 divide n?
False
Suppose -90 = 4*f - 9*f. Does 9 divide f?
True
Let k = -39 - -50. Is k even?
False
Suppose -4*r + 183 = 4*x + 23, -159 = -4*r - 3*x. Is r a multiple of 8?
False
Let d(f) = -2*f**2 + 0*f - 3 - 2*f + f**2 - 7*f**3 + 2. Does 3 divide d(-1)?
False
Let o(l) = 3*l**2 - l. Is 4 a factor of o(-3)?
False
Let g(c) = -8*c - 1. Is g(-1) a multiple of 2?
False
Is 22 a factor of (-2034)/(-27) + 2/(-6)?
False
Let i(a) = a**3 - 9*a**2 - 2*a + 10. Is i(10) a multiple of 20?
False
Let l(f) = -f**2 + 10*f. Suppose 5*j - 46 = -16. Suppose -9 = -3*h + j. Is 7 a factor of l(h)?
False
Let o(h) = h**2 - 3*h + 1. Let x be o(3). Is 13 a factor of 154/4 + x/2?
True
Let q = 1 - -2. Does 2 divide q?
False
Let y(b) = b**2 - 5*b - 7. Let g(u) = u**3 + 5*u**2 + 4*u + 1. Let v be g(-3). Does 4 divide y(v)?
False
Suppose -x = 2*c - 0*x - 9, 3*c + 2*x = 11. Suppose c*y = 2*y. Suppose -2*z + 47 = 3*a, y = -a - a + 2*z + 48. Does 15 divide a?
False
Let i be 8/28 - 303/7. Let m = -4 - i. Does 13 divide m?
True
Suppose 9*l = 14*l - 75. Is l a multiple of 5?
True
Let y(u) = 4*u**2 + 5*u - 3. Let g = 2 + 1. Is 16 a factor of y(g)?
True
Let n(v) = -7*v + 1. Let i = 7 + -12. Let d(p) = p**3 + 5*p**2 + p + 4. Let u be d(i). Is n(u) a multiple of 7?
False
Let s = -273 + 465. Is s a multiple of 24?
True
Let n = -72 + 108. Is 12 a factor of n?
True
Suppose 36 = -0*j + 3*j. Suppose -2*z + j = 2*q, 0 = 2*q + z + 5 - 15. Suppose -2*x = 2*w - 38, -x + q*x + 5*w = 63. Is 8 a factor of x?
True
Let m(g) = 3*g - 27. Does 6 divide m(11)?
True
Let i(p) = 2*p**2 - 7*p - 9. Let w be i(7). Let m = w + -10. Suppose 3*v + 0*t - m = 3*t, -2 = -t. Is v a multiple of 6?
True
Suppose -74*i = -77*i + 24. Does 4 divide i?
True
Let w(f) = f**3 - 11*f**2 + 12*f - 6. Suppose 6*s = 3*s + 30. Does 4 divide w(s)?
False
Suppose d + 30 = 5*g, -1 = 4*g + d - 16. Does 4 divide g?
False
Suppose 3*w - 3*n - 156 = 0, -2*n + 0*n - 200 = -4*w. Does 8 divide w?
True
Let a(j) = -j + 39. Does 13 divide a(0)?
True
Let h(w) be the third derivative of -w**5/60 + w**4/8 - 5*w**3/3 + 2*w**2. Let x be h(8). Let z = 90 + x. Is z a multiple of 16?
False
Suppose -2*j - 5*s + 33 = -47, 20 = -5*s. Does 25 divide j?
True
Let f(m) be the third derivative of 5*m**4/12 - m**3/3 + 3*m**2. Let s be f(6). Let t = s - 38. Does 10 divide t?
True
Let n(o) be the third derivative of -1/120*o**6 - 1/24*o**4 - 5/6*o**3 + 0 - 3*o**2 + 0*o + 1/10*o**5. Does 15 divide n(5)?
True
Let f(t) = t**3 - t**2 - 2*t + 1. Let u be f(-2). Let m = 11 + u. Suppose m*r = 37 - 1. Is r a multiple of 8?
False
Let w be ((-14)/21)/(4/(-30)). Let d(l) = -l**3 + 6*l**2 - 2*l. Is d(w) a multiple of 5?
True
Suppose -5*b - 4*h + 15 = 0, -5*h + 0 = -3*b + 9. Let j = 24 - b. Suppose j = 2*c - 3*l, 18 = 2*c - 3*l - l. Is 5 a factor of c?
True
Suppose -3*y + 401 = 4*w, -y + 202 = 2*w + y. Does 14 divide w?
True
Let h be 1/2 - (-34)/(-4). Let p = -5 - h. Suppose p = -3*q + 36. Is q a multiple of 4?
False
Let k(q) = -6*q + 13. Let n(a) = 5*a - 13. Let z(w) = -6*k(w) - 7*n(w). Let t be (3 - (3 + -4)) + -12. Is z(t) a multiple of 5?
True
Let h = -13 - -37. Does 6 divide h?
True
Suppose 0*f + 28 = 2*f. Is f a multiple of 14?
True
Let j(p) = -p**3 - 6*p**2 + 5*p. Does 22 divide j(-8)?
True
Let m = 113 - 77. Suppose -4*h - m + 232 = 0. Suppose -5*u + h = -6. Is u a multiple of 11?
True
Suppose -f = 5*x - 29, 4*f + 2 - 49 = 3*x. Suppose f + 14 = o. Does 28 divide o?
True
Suppose 4*v + 5*f + 0*f + 7 = 0, v = -f - 3. Let t = 24 + v. Is t a multiple of 16?
True
Suppose 5*w - 3*h = 85, w - h - 15 = -0*w. Is w a multiple of 14?
False
Let a be 2 + (-5)/(10/4). Suppose a = -4*c + 35 + 41. Suppose c + 16 = 2*j - 5*y, -3*j = 4*y + 5. Is 2 a factor of j?
False
Let q(x) = -x**2 + 23*x + 9. Is 8 a factor of q(20)?
False
Let p = 18 - -14. Let s = 50 - p. Suppose -q - q + s = 0. Is 5 a factor of q?
False
Let q(o) = o**2 - 7*o - 10. Let k be q(8). Is (k + -1)/3*-20 a multiple of 20?
True
Is (-3)/(-24) - (-1195)/40 a multiple of 9?
False
Let r(p) = 3*p - 5. Let m be r(5). Is 20 a factor of m/4*20/2?
False
Suppose -5*l = 5*i - 20, 0 = 5*i - 3*l + 5 + 7. Suppose i = 9*v - 5*v - 56. Suppose -10 - v = -2*b. Is 7 a factor of b?
False
Suppose -2*l + 8 = 0, 2*f - 28 = -f - l. Suppose 0 = f*j - 4*j - 48. Is 6 a factor of j?
True
Let l(k) = k. Let d(g) = -2*g - 6. Let y(i) = d(i) + 3*l(i). Let o be y(9). Suppose -a - 3*a = s - 51, 5*s - 51 = -o*a. Does 12 divide a?
True
Suppose 4*w - 6 = -18, 4*m = 4*w + 84. Suppose 4*v - 14 = -3*n - v, -3*v = 5*n - m. Does 8 divide (-3)/n - 1 - -24?
False
Suppose 6*n = 2*n + 28. Suppose -4*z = -n*z. Suppose 3*b + 4*i + 6 = 1, -b + 2*i + 15 = z. Is 2 a factor of b?
False
Let t(y) = -y**3 + 6*y**2 - 5*y + 3. Let b be t(5). Let d(j) = 4*j + 1. Let g be d(1). Suppose 0 = n - 3*r - 25, -2 = -b*n - g*r + 3. Is 10 a factor of n?
True
Let x(c) be the third derivative of 0*c**5 + 0*c - c**2 + 1/24*c**4 + 0 - 1/30*c**6 + 1/6*c**3. Is x(-1) a multiple of 4?
True
Is 2/(-4) - 404/(-8) a multiple of 25?
True
Does 41 divide -2 + -1 - 174/(-1)?
False
Let k(o) = 5*o - 5*o**2 + 3 - 2*o - 4*o - o**3. Is 2 a factor of k(-5)?
True
Suppose -2 = -z + 1. Suppose 7 + 200 = z*k. Is 33 a factor of k?
False
Suppose 2*m - 96 = -5*g, 2*g - m = 3*g - 18. Suppose -3*w - 5*x + g = 0, 0 = 3*w - 0*x - 3*x - 60. Is w a multiple of 5?
True
Let n(f) = -f**3 - f**2 + 6. Suppose -3*m = -m. Does 2 divide n(m)?
True
Suppose 3398 = 11*r + 538. Does 13 divide r?
True
Suppose 0 = 4*i - u + 4*u + 44, 4*u = 16. Let y = i + 23. Is 6 a factor of y?
False
Suppose -8 = -4*w + w - 5*h, -4*h - 1 = -5*w. Let u(r) = -r + 1. Let o be u(w). Suppose o = t - 2*d - 5 - 3, -4*t + 46 = -d. Does 12 divide t?
True
Let l = 9 - 3. Does 16 divide (116/(-6))/((-2)/l)?
False
Let d = -42 + 61. Is 6 a factor of d?
False
Let b = 23 + -7. Is 2 a factor of b?
True
Suppose -8 - 4 = -3*s. Suppose 24 = s*k - 8. Suppose -3*v = -k*v + 100. Does 5 divide v?
True
Let i(b) = -b**2 + 6*b - 6. Let x be i(5). Does 28 divide 27 - 1*(-2 - x)?
True
Suppose -3*v = -4*y - 185, -3*v - 5*y + 3*y + 173 = 0. Is 6 a factor of (-3)/(-15) + v/5?
True
Let j(n) = n**3 + 7*n**2 - n + 2. Let o be j(-7). Suppose -g + o = 3. Is g a multiple of 6?
True
Suppose 0 = -8*h + 5*h - 15. Let z be (0 + h)*48/(-10). Let q = z - 15. Is 4 a factor of q?
False
Suppose 0*a + 5*a - 195 = 0. Does 10 divide a?
False
Suppose 7*a + 267 = 10*a. Suppose 25 - a = -2*o. Is 7 a factor of o?
False
Let q(b) = -3*b + 1. Let x be q(-1). Does 9 divide (-2)/4 - (-102)/x?
False
Let a(x) = x**2 - 3. Let t be a(6). Suppose t = 5*u + 8. Is 2 a factor of u?
False
Let h(g) = 8*g - 1. Let x be h(6). Suppose b = -1, 0 - x = -2*w - 5*b. Let t = -9 + w. Is t a multiple of 13?
False
Let l = -30 - -58. Let u = 7 + l. Is u a multiple of 24?
False
Suppose -25 = 3*y - 10, 0 = -4*c + 4*y + 92. Suppose 4*g + 4*l = 112, 4*g + 4*l = 5*g - c. Does 13 divide g?
True
Let z(w) = 60*w + 1. Let q be 2 - (-3)/6*-6. Let b be z(q). Let x = -35 - b. Does 20 divide x?
False
Let k(u) = u - 4. Is k(15) a multiple of 2?
False
Suppose 0 = 3*o - s - 396, -o - s + 53 = -79. Is o a multiple of 44?
True
Let b be (-2 - (-6)/3)*1. Suppose 5*r = -4*w + 15, -3*w - 4*r + 3 + 9 = b. Let t(l) = -l**3 + l**2 + l + 10. Is t(w) a multiple of 10?
True
Let k be (-9)/6 - 1/2. Is 26 a factor of 0 - 49*(-3 - k)?
False
Let y be ((-27)/4)/(4/32). Is 50/(-15)*y/4 a multiple of 12?
False
Let g be (-2 - (-1)/1) + 10. Suppose 4*m = -4*f
|
{
"pile_set_name": "DM Mathematics"
}
|
510
What is the least common multiple of 351 and 33?
3861
What is the common denominator of 31/189 and 20/147?
1323
Find the common denominator of 17/2 and 53/26.
26
What is the smallest common multiple of 1792 and 320?
8960
What is the lowest common multiple of 2153 and 2?
4306
What is the common denominator of -53/108 and 119/36?
108
Calculate the smallest common multiple of 130 and 5174.
25870
What is the lowest common multiple of 3 and 41?
123
Calculate the smallest common multiple of 68 and 357.
1428
Calculate the common denominator of 127/54 and 179/1230.
11070
What is the common denominator of 109/154 and -61/99?
1386
Calculate the common denominator of 71/1380 and 91/345.
1380
What is the common denominator of -57/8659 and -57/7?
8659
Calculate the common denominator of 7/20 and 61/118.
1180
What is the common denominator of 23/7 and 22/103?
721
Find the common denominator of 127/3230 and 27/2584.
12920
Calculate the lowest common multiple of 3214 and 12856.
12856
What is the smallest common multiple of 6 and 124?
372
Calculate the common denominator of 13/54 and -139/2442.
21978
Calculate the least common multiple of 21 and 1029.
1029
Find the common denominator of 32/35 and -64/875.
875
Calculate the common denominator of -173/300 and -47/420.
2100
Calculate the least common multiple of 8 and 7935.
63480
What is the least common multiple of 312 and 18?
936
Calculate the least common multiple of 387 and 27.
1161
What is the common denominator of -28/505 and -19/101?
505
What is the smallest common multiple of 5 and 88?
440
What is the least common multiple of 12 and 36?
36
What is the least common multiple of 36 and 102?
612
What is the lowest common multiple of 1638 and 3?
1638
Find the common denominator of -29/28 and -53/48.
336
Calculate the least common multiple of 3 and 803.
2409
What is the smallest common multiple of 165 and 6?
330
Find the common denominator of 47/1890 and 1/22.
20790
What is the lowest common multiple of 128 and 448?
896
Calculate the common denominator of -117/50 and -47/18.
450
What is the lowest common multiple of 114 and 6?
114
What is the common denominator of 17/401 and -5/17?
6817
What is the common denominator of -1/6696 and 125/648?
20088
What is the least common multiple of 1682 and 8?
6728
What is the smallest common multiple of 98 and 10?
490
Calculate the common denominator of -11/16926 and 181/546.
16926
Calculate the common denominator of -33/721 and 38/105.
10815
Calculate the least common multiple of 119 and 136.
952
Find the common denominator of -167/990 and -35/16.
7920
What is the lowest common multiple of 64 and 224?
448
Find the common denominator of 53/70 and -9/3605.
7210
Calculate the common denominator of -71/12540 and -193/4560.
50160
Calculate the common denominator of 93/2 and -151/30.
30
Calculate the least common multiple of 90 and 72.
360
What is the least common multiple of 10 and 30?
30
What is the lowest common multiple of 1112 and 973?
7784
Calculate the lowest common multiple of 70 and 160.
1120
What is the least common multiple of 140 and 76?
2660
Calculate the lowest common multiple of 39 and 6.
78
What is the common denominator of -8/461 and 19/8?
3688
Calculate the common denominator of -137/70 and -65/4.
140
Find the common denominator of 97/14 and -8/7.
14
Find the common denominator of -43/108 and 161/90.
540
What is the common denominator of -47/528 and 55/144?
1584
Calculate the least common multiple of 27 and 831.
7479
Find the common denominator of 5/816 and 163/2244.
8976
What is the common denominator of -29/280 and -63/176?
6160
What is the least common multiple of 1330 and 8?
5320
Calculate the common denominator of -85/22 and 101/234.
2574
Calculate the least common multiple of 114 and 24.
456
What is the least common multiple of 791 and 1017?
7119
What is the smallest common multiple of 2412 and 3618?
7236
Find the common denominator of 87/2 and 49/22.
22
What is the smallest common multiple of 5 and 522?
2610
Calculate the lowest common multiple of 5 and 88.
440
What is the smallest common multiple of 27 and 21?
189
Calculate the common denominator of -1/270 and -47/450.
1350
What is the lowest common multiple of 10 and 76?
380
What is the common denominator of -1/468 and -47/9?
468
What is the smallest common multiple of 7 and 115?
805
Find the common denominator of 52/3 and -65/424.
1272
What is the common denominator of 95/96 and -89/2?
96
Calculate the common denominator of -28/243 and 83/420.
34020
What is the common denominator of -65/56 and 93/224?
224
What is the common denominator of 107/42 and 9/1267?
7602
Calculate the common denominator of 64/15 and -31/5940.
5940
Calculate the least common multiple of 5 and 55.
55
What is the common denominator of -29/8 and 79/88?
88
Calculate the common denominator of 28/657 and 77/438.
1314
What is the least common multiple of 684 and 209?
7524
Calculate the lowest common multiple of 54 and 38.
1026
Find the common denominator of -87/1880 and 67/15980.
31960
Calculate the smallest common multiple of 208 and 377.
6032
Calculate the least common multiple of 8 and 105.
840
What is the least common multiple of 231 and 63?
693
Find the common denominator of 7/582 and -13/2910.
2910
Calculate the common denominator of 34/133 and 41/665.
665
Find the common denominator of 41/72 and -25/774.
3096
What is the common denominator of 29/308 and -23/8?
616
Calculate the lowest common multiple of 312 and 264.
3432
Calculate the common denominator of 123/10 and 103/2158.
10790
What is the common denominator of 53/14 and 81/14?
14
What is the common denominator of -59/1120 and -45/16?
1120
Calculate the least common multiple of 64 and 80.
320
What is the least common multiple of 54 and 1764?
5292
Calculate the least common multiple of 987 and 2303.
6909
Find the common denominator of -1/22 and 7/146.
1606
What is the common denominator of -10/19 and 99/76?
76
What is the least common multiple of 300 and 40?
600
Calculate the smallest common multiple of 183 and 183.
183
Calculate the smallest common multiple of 336 and 462.
3696
What is the lowest common multiple of 1050 and 250?
5250
Calculate the least common multiple of 39 and 258.
3354
Calculate the common denominator of 18/371 and 28/41.
15211
Calculate the least common multiple of 31 and 279.
279
What is the common denominator of 41/660 and 17/30?
660
Calculate the common denominator of -31/880 and -71/600.
13200
What is the smallest common multiple of 1463 and 1254?
8778
What is the least common multiple of 957 and 348?
3828
Calculate the least common multiple of 720 and 264.
7920
What is the least common multiple of 6 and 370?
1110
What is the common denominator of 109/24 and 101/52?
312
Find the common denominator of -27/14 and -27/68.
476
Calculate the lowest common multiple of 22 and 1870.
1870
Calculate the common denominator of 103/306 and -139/36.
612
Calculate the lowest common multiple of 10 and 15.
30
Calculate the lowest common multiple of 92 and 27.
2484
What is the least common multiple of 108 and 2?
108
What is the common denominator of -91/30 and 73/30?
30
What is the least common multiple of 12 and 168?
168
What is the common denominator of -23/150 and -53/200?
600
What is the least common multiple of 705 and 2585?
7755
What is the smallest common multiple of 40 and 100?
200
Calculate the smallest common multiple of 300 and 18.
900
Calculate the common denominator of 127/390 and -29/120.
1560
Calculate the smallest common multiple of 183 and 12.
732
What is the common denominator of -39/137 and 97/4?
548
What is the common denominator of 63/338 and -95/22?
3718
What is the smallest common multiple of 110 and 2?
110
Calculate the lowest common multiple of 12006 and 8.
48024
Calculate the smallest common multiple of 1846 and 8307.
16614
What is the common denominator of 35/54 and 11/1510?
40770
Find the common denominator of 41/18 and 79/2542.
22878
Calculate the common denominator of -119/1818 and 137/1818.
1818
Calculate the least common multiple of 6 and 3.
6
What is the smallest common multiple of 12 and 206?
1236
What is the lowest common multiple of 10 and 3650?
3650
What is the least common multiple of 195 and 3770?
11310
What is the commo
|
{
"pile_set_name": "DM Mathematics"
}
|
(z). What is the units digit of 0 - -16 - (-3)/a?
5
Let h(z) = -z**3 - 8*z**2 - 6*z - 28. Let c be h(-8). What is the units digit of 5/c - (-1677)/12?
0
Let l = -484 - -1046. What is the units digit of l?
2
Let l(b) be the second derivative of -b**5/20 - b**4/6 + b**3 + 3*b**2/2 - 2*b + 10. Suppose 4*u + 0*u + 16 = 0. What is the tens digit of l(u)?
1
Let y(m) = m**2 + 2*m + 3. Suppose 0*k - 4*k = -88. Let v = -27 + k. What is the units digit of y(v)?
8
Suppose 5*f + 41 = -o + 9, o = 4*f + 4. Let i(u) = u**3 + 13*u**2 + 3*u + 9. What is the tens digit of i(o)?
1
Suppose -4*v + 34 = -14. Let m = 4 + v. What is the tens digit of m?
1
Suppose 0*j - 2 = 2*j + 2*f, 3*f = 2*j + 7. What is the units digit of j/5 - (156/(-15) + 6)?
4
Suppose 225*f = 212*f + 4173. What is the hundreds digit of f?
3
Let k = -642 - -1204. What is the hundreds digit of k?
5
Let n = -45 + 55. What is the tens digit of -2*(-113)/n + 12/(-20)?
2
Let c(r) = 5*r**2 - 4*r - 2. Let v be c(6). Let h be 21/5 - ((-66)/(-30) - 2). Suppose -v = -h*l - 2*d, l + d - 157 = -3*l. What is the units digit of l?
0
Let p be 10 - 1 - (0 + 4). Suppose 12 + 416 = 3*c + p*d, -3*c - 4*d = -430. What is the hundreds digit of c?
1
Let h(v) = -v**3 - 6*v**2 - 6*v - 1. Let a be h(-5). Let p be (-86)/4 - a/(-8). What is the units digit of p/6*24/(-14)?
6
Let a(d) = -d**3 - 6*d**2 - 3*d + 12. Let h be a(-5). Suppose -h*j = -0*j - 350. What is the tens digit of j?
7
Let f(w) = -w - 6. Let x be f(-8). Let k(j) = 24 + j**x + 15*j - 2*j - 7. What is the units digit of k(-12)?
5
Suppose -3*l - 5 = -4*l. Suppose 0 = 11*a - l*a - 90. What is the tens digit of a?
1
Let f = 11 + -8. Let v(z) = -z - f*z + 25*z**3 + 3*z. What is the units digit of v(1)?
4
Let b(k) = -2*k + 2. Let o be b(2). Let g = 1 + -1. Let h = g - o. What is the units digit of h?
2
Suppose 518*a - 522*a = -356. What is the tens digit of a?
8
Suppose -3*x + 119 = r - 110, 3*x - 3*r = 225. What is the tens digit of x?
7
Suppose 4*r - 3 = 4*u - 7, u - 2*r = 0. Suppose 0*g = -u*g + 4. What is the units digit of -1 + g + 81/3?
8
Let b(p) = -p**3 + 27*p**2 + 16*p - 92. What is the tens digit of b(27)?
4
Suppose 0 = -9*i + 7*i + 8. Let s(q) = -13 - q**2 - i*q - q**3 + 2*q**2 + 7*q**2. What is the tens digit of s(6)?
3
What is the tens digit of (-2960)/2*(12/4 - 4)?
8
Suppose -5*s + 23*d = 22*d - 16336, -4*s + 3*d + 13060 = 0. What is the units digit of s?
8
Let f(v) = 153*v + 2. Let x be f(2). Suppose -x = -4*t + 32. What is the units digit of t?
5
Suppose 5*l - 10 = -p + 2*l, 0 = -p + 5*l + 50. Suppose 0 = -3*w + 3*r - 0*r - 18, -5*w - 3*r = 6. Let u = w + p. What is the tens digit of u?
2
Let m(w) = -69*w**2 + w + 1. Let n be m(2). What is the tens digit of (n/(-13))/(0 - (-2)/12)?
2
Suppose -4*y + 20 = 0, 0 = 7*l - 2*l - y + 15. Let c(g) = 37*g**2 + 1. What is the hundreds digit of c(l)?
1
Suppose 2*f = 0, 5*f + 228 = 4*m + f. Let v = 22 + m. What is the tens digit of v?
7
Suppose -2 = -4*c + 10. Let s be 120/(-36)*c/(-2). Suppose -5*o + 24 = x, 5*x - 70 = s*o + 50. What is the units digit of x?
4
Suppose 2*l - 2*f = -2*l + 2264, f - 4 = 0. What is the tens digit of l?
6
Suppose -86 = 4*m + 2*n, -5*m - 126 = 5*n - 6. Let x be m/(-2) + (-27)/18. What is the units digit of (-1576)/(-28) - x/28?
6
Suppose -2*t - 2*t = -3*g - 265, -3*t + g + 205 = 0. Suppose 9*y - t - 20 = 0. What is the units digit of y?
0
Suppose -4*k = -5*d - 4 + 37, -2*d + 5*k + 3 = 0. Suppose -d + 7 = -j. What is the tens digit of 29 + -5 + j - 0?
2
Let b = 25 + -40. Let f = b + 117. What is the units digit of f?
2
Let y = 21 + -7. Let p = y + 2. What is the tens digit of p?
1
Suppose 1192 + 2092 = 2*a. What is the thousands digit of a?
1
Let y = -25 - -32. Suppose m - y = -0. Suppose 0 = -m*a + 2*a + 315. What is the tens digit of a?
6
Let a be (-4)/6*(2 + 25/(-2)). Let r(s) = s**3 - 5*s**2 - 8*s + 6. What is the units digit of r(a)?
8
Suppose 4*i - 2*r - r = 33, -3*r + 51 = 3*i. Let w be (1 + 7)*6/i. Suppose 0 = -2*y - w*n + 10, -2*y + 16 = 2*y + 4*n. What is the units digit of y?
3
Let u(a) = -a**3 + 6*a**2 + 5*a - 1. Suppose 14*c - 12*c = 12. What is the tens digit of u(c)?
2
Suppose 5*w + 2*r = 174, -4*r = -3*w - r + 96. Suppose 0*y - 2*y = -w. Suppose 2*h = z - 3*z + 4, -h = -2*z - y. What is the units digit of h?
7
What is the units digit of (-9)/(-15) - (4 - 10810/25)?
9
Let k(d) = d**2 - 4*d - 17. Let o(c) = -c**3 + 5*c**2 + 8*c - 3. Let m be o(6). What is the tens digit of k(m)?
2
Let w = -227 - -239. What is the tens digit of w?
1
Let m(w) = 44*w**2 - 4. Let z be m(-3). Suppose 38*i - 42*i + z = 0. What is the units digit of i?
8
Let g(w) = w**3 - 4*w**2 - w + 8. Let s be g(4). Let t(c) be the first derivative of 5*c**2/2 - 5*c + 2. What is the units digit of t(s)?
5
What is the tens digit of 75/(-10) - -7 - (-5103)/6?
5
Suppose 2*f = -0*w + 3*w + 16, -4*f - 4 = 0. Suppose -s + 12 = 2*s. What is the units digit of (-38)/s*(w + 4)?
9
Suppose -3*t + i + 925 = 5*i, 950 = 3*t - i. Suppose p - 2*j - 17 = 40, -5*p + t = 5*j. What is the units digit of p?
1
Suppose -3*x = -5*f + 16, -2*x + 0 - 4 = -2*f. Suppose 3*i = 4*i - 5*d + x, d = 2*i + 15. Let k = 23 - i. What is the tens digit of k?
3
Suppose 467 = 16*b - 47325. What is the thousands digit of b?
2
Let n = -3289 + 4715. What is the thousands digit of n?
1
Let f(v) = 3*v + 3. Let s be f(0). What is the tens digit of s/(-3)*3*146/(-6)?
7
Suppose -4*z = -98 - 18. Suppose -30*o + 337 = -z*o. What is the units digit of o?
7
Suppose 0 = -n + 5 - 3. Let j(h) = 3*h + 24. Let v be j(-8). Suppose v = m + w - n*w - 22, 5*m = -w + 86. What is the units digit of m?
8
Let x = -48 + 48. Suppose -6*b + 180 + 258 = x. What is the tens digit of b?
7
Let z(n) = -67*n + 82. What is the thousands digit of z(-19)?
1
Let n = -15 + 12. Let d = -19 - -7. What is the tens digit of d/8*26/n?
1
Let i = -2902 - -5074. What is the hundreds digit of i?
1
Let b(i) be the second derivative of -2/3*i**4 - 3*i**2 - 1/20*i**5 + i + 0 + 5/6*i**3. What is the units digit of b(-9)?
0
Suppose 2*y - 7*h - 8 = -6*h, 1 = -3*y - 5*h. Suppose -3*f + 291 = -0*f - y*d, 2*d = -f + 109. What is the hundreds digit of f?
1
Let l(v) = 1. Let d(u) = u - 2. Let x(y) = -d(y) - 4*l(y). Let p be x(2). What is the tens digit of p/(4/(-41)) + -3?
3
Let m(a) = -3*a - 12 + a - 2*a + a**2. Let i = 132 + -137. What is the units digit of m(i)?
3
Let t = 459 + -400. What is the units digit of t?
9
Let m(f) = f**3 - 2*f**2 + 22*f - 19. What is the hundreds digit of m(10)?
0
Let c be (-6 - -6) + 54/1. Let o = c - 26. Suppose -86 = -5*j + 3*x, 0*j - 3*x + o = j. What is the units digit of j?
9
Let h(w) = 2*w - 21. Let q be h(9). What is the units digit of (-2 - q) + (-5 - -69)?
5
Let t = 2 - 18. Let o = t + 17. Let b(z) = 39*z**2 - z + 1. What is the units digit of b(o)?
9
Let u(c) = c**3 + 56*c**2 - 109*c + 184. What is the hundreds digit of u(-57)?
1
Suppose -2*c = 3*c - 35. Let s(b) = -b**2 + 8*b - 7. Let d be s(c). Suppose -3*y + 2*l + 75 = 0, y = -d*y - 4*l + 39. What is the tens digit of y?
2
Suppose -8*i + 32 - 88 = 0. Let u(k) = -k**3 - 6*k**2 + 3*k - 3. What is the units digit of u(i)?
5
Let h(y) = -15*y - 1. Let o(c) be the second derivative of c**4/12 + c**3/3 - c**2/2 + 2*c. Let x be o(-2). What is the tens digit of h(x)?
1
Suppose -2*y - 3*h = -581, 7*h + 1117 = 4*y + 4*h. What is the units digit of y?
3
Suppose -4*y = 5*k + 10, y + 5*k - 2*k + 6 = 0. Let c be (-43)/(129/180)*1*-1. Suppose y = -j - 2*j + c. What is the units digit of j?
0
Let s(i) = -5*i + 13. Let n be s(3). What is the units digit of (-138)/(-3)*(-1)/n?
3
Let y = -251 - -372. Suppose 4*j = 3*w - y, -5*w - 3*j = -248 + 56. Let f = -7 + w. What is the tens digit of f?
3
Suppose 0 = -3*h - 12 + 54. Let i = h - 8. What is the units digit of (-618)/(-18) + 4/i?
5
Let x = 779 - 178. What is the hundreds digit of x?
6
Let m(x) = x**3 + x**2 - x + 1. Let y be m(0). Let f be 2 + y/(2/(-4)). Suppose 5*s + 34 - 179 = f. What is the units digit of s?
9
Let a = -37 + 61. Let z be 2/(-3)*a/(-8). Suppose 4*n - 36 = -z*n. What is the units digit of n?
6
Suppose c + 2*v - 256 = 0, -1244 = -5*c - 3*v + 5*v. What is the tens digit of c?
5
Suppose 0 = -f - 9 - 1. Let c be (-3)/15 + (-52)/f. Suppose 2*q = -2*a + q + 3, 5
|
{
"pile_set_name": "DM Mathematics"
}
|
12599 + 12629. Let a = 140 - 27. What is the remainder when a is divided by l?
23
Let u = 12341 + -7087. Calculate the remainder when u is divided by 18.
16
Suppose -3*y + 5*a = -477, 8 = -4*a + 20. What is the remainder when y is divided by 83?
81
Suppose 4*o - 304 = 4*t, o + 2*t - 115 = -30. Suppose -11*h + 33 + 209 = 0. What is the remainder when (3 + o)*1/2 is divided by h?
19
Let x(m) = m**3 - 6*m**2 - 3*m + 3. Let d be x(6). Let s be (18 + d)/(6/(-32)). Calculate the remainder when 8 is divided by (-2)/(-2) + (s - -20).
3
Let d(m) = -m**3 + 18*m**2 - 2*m + 14. Let b = 249 - 181. What is the remainder when d(17) is divided by b?
65
Suppose 2*p + 2*p - 12 = 0. Let u(d) = 7*d**2 - 2. Suppose 10 + 22 = m. What is the remainder when u(p) is divided by m?
29
Let g = -134 + 194. What is the remainder when 225 is divided by g?
45
Calculate the remainder when 5541 is divided by (-3260)/(-90)*(-90)/(-20).
162
Suppose -2*f + 2*g - 428 = 732, -3*g - 2884 = 5*f. Let x = f + 585. Calculate the remainder when 76 is divided by x.
6
Suppose -3*z - 2*l + 48 = -246, 3*z - 2*l - 294 = 0. Suppose 92*d + 228 = z*d. Calculate the remainder when d is divided by 5.
3
Suppose 4*s + 24 - 36 = 0. Suppose 0 = 5*f, 2*a + 2*f - 108 = -s*f. Let k(m) = 21*m - 2. What is the remainder when a is divided by k(1)?
16
Let m(j) = -148*j - 4506. Calculate the remainder when 196 is divided by m(-31).
32
Let x = 297 - 263. Let f(o) = -o**3 + 35*o**2 - 35*o + 62. What is the remainder when 88 is divided by f(x)?
4
Let d be ((-24)/(-27))/4 - (-2164)/(-18). Let y = d + 130. What is the remainder when 26 is divided by y?
6
Suppose 5*b + 9*k + 16 = 5*k, -20 = 5*k. Suppose b = 2*l - 189 - 1. What is the remainder when l is divided by 11?
7
Let u = 13201 + -11856. Calculate the remainder when u is divided by 18.
13
Suppose s + 51 = 5*o, 5*s = -o + 2*o + 9. What is the remainder when ((-59)/3)/(104/(-312)) is divided by o?
4
Suppose -2*y - 11168 = -5*x, 123*x + 5*y = 121*x + 4502. What is the remainder when x is divided by 20?
16
Let r be (2 + 1)/(11 - 75/6). Calculate the remainder when 30 is divided by 39*((-12)/9 - r).
4
Calculate the remainder when 101 is divided by (-3)/(-2 - 752/(-384)).
29
Suppose -4*m - 126 = 5*z - 819, -z - 357 = -2*m. Let a = m - 106. Suppose 4*i - 6*i = 3*g - 51, -3*g = -i - 42. What is the remainder when a is divided by g?
11
Let v = 22684 + -22669. Let q = 277 + -57. What is the remainder when q is divided by v?
10
What is the remainder when 36369/513 + (220/(-76) - -3) is divided by 7?
1
Let x(n) = n**3 - 20*n**2 + 84*n + 87. What is the remainder when 1346 is divided by x(15)?
14
Suppose -8*u + 9*u = 111. Suppose u = 4*k + 3*b, 5*k - 113 = 3*b + 46. Calculate the remainder when k + (-6 - -2) - 2/2 is divided by 13.
12
Suppose 23 + 107 = 13*f. What is the remainder when (107 + 0)*f/5 is divided by 9?
7
Let y(x) = x**3 + 10*x**2 + 12*x - 7. What is the remainder when 5/(45/(-324))*(-9)/2 is divided by y(-7)?
50
Let v = 323 + -322. Let y(b) = 29*b + 4. What is the remainder when 77 is divided by y(v)?
11
Suppose 15*i = 11*i + 8. Suppose -2*t + o + 7 = 3*t, i*t - 3*o + 5 = 0. Suppose -3*k + t*y = k - 146, k = y + 34. What is the remainder when k is divided by 14?
11
Let b = 75 - 5. Calculate the remainder when 2 + 1 - (2 + (1 - b)) is divided by 18.
16
Let c = 134 - 28. Let o = c - 85. What is the remainder when o is divided by 4/(-14) - 79/(-7)?
10
Let x(l) = -2*l**3 - 18*l**2 - 36*l - 14. What is the remainder when x(-8) is divided by 114?
32
Suppose 3*l = -4*l + 35. Let p(n) = -n**3 + 30*n**2 - 31*n + 79. Calculate the remainder when p(29) is divided by l.
1
Calculate the remainder when 1046 is divided by (-11)/3 + (-11)/((-132)/(-16)) + 38.
23
Suppose -32*j - 12813 + 14762 = -23299. Calculate the remainder when j is divided by 34.
7
Let t(q) = q + 10. Calculate the remainder when 15448/84*1 + 2/21 is divided by t(17).
22
Suppose 15*t - 10 = 155. Suppose -3*i - 48 = -t*i. Calculate the remainder when 45 is divided by i.
3
Let s(w) = w**3 - 22*w**2 + 36*w + 56. What is the remainder when s(21) is divided by 39?
20
Let j = 35356 + -35260. What is the remainder when 1915 is divided by j?
91
Suppose -59614 = -99*b - 11599. What is the remainder when b is divided by 483?
2
Suppose 2*n + 2 = 0, -11 = -p - 3*p - n. Suppose p*t = -31 + 82. What is the remainder when t is divided by 10?
7
Suppose -6*u + 20456 - 19550 = 0. What is the remainder when u is divided by 54?
43
Let p(k) = -k**2 + 37*k - 202. Suppose 0 = 4*b - 17 - 35. What is the remainder when p(8) is divided by b?
4
Let c(k) = k**3 + 22*k**2 + 51*k - 40. What is the remainder when c(-19) is divided by 11?
8
Let x(w) = w**3 - 17*w**2 - 60*w + 135. Calculate the remainder when 717 is divided by x(20).
42
Suppose 0 = -4*x + 4, 3*p + 0*x - 5*x + 5 = 0. Suppose p*z - 90 = -5*z. Let k = -1596 + 1641. Calculate the remainder when k is divided by z.
9
Suppose 0 = -5*v + 5*r + 890, 158*v - 157*v - 2*r - 177 = 0. Calculate the remainder when v is divided by 19.
8
Let d = -7 + 18. Suppose 48*r - 62*r - 270 = -32*r. What is the remainder when r is divided by d?
4
Suppose 3*y = 4*b + 122, 2*y + 115*b - 110*b = 43. What is the remainder when 199 is divided by y?
29
Let c = 8216 - 8189. Suppose 2*p - 24 = 5*h, -p + h = -0*h - 6. Suppose -4*q + 170 = p*r, -r + 3*q + 2*q = -50. Calculate the remainder when r is divided by c.
21
Suppose 17 = g + 3*l, -3*g + 5*l - 7*l + 86 = 0. Suppose 5*q = -3*c + 68, -6*c + 2*c = -q + g. What is the remainder when 91 is divided by q?
11
What is the remainder when (-3 - 0)*(-301)/42*4 is divided by (1/4*-25)/((-185)/296)?
6
Let l = 119 + -71. Let c = l + 47. What is the remainder when c is divided by (6/9)/(2 + 14 + 334242/(-20925))?
20
Suppose -5*o + 4*h = -399, -4*o + 4*h + 228 = -88. Calculate the remainder when 1153 is divided by o.
74
Suppose 2*x + 2*x = 44. Let f(u) = 7*u - 3. Let l be f(1). Suppose -5*h - l*o = -65, h + h = 5*o - 7. What is the remainder when x is divided by h?
2
Suppose -6*f - 140 = -452. Let c be (-26)/(-8) + (-3)/12. Suppose -2*q = -6, 6*x - c*x + 4*q - 93 = 0. Calculate the remainder when f is divided by x.
25
Let x(z) = -3*z**3 - 4*z**2 - 3*z - 1. Let u(l) = -216*l + 6731. What is the remainder when u(31) is divided by x(-2)?
9
Suppose -640*w + 628*w = -360. Calculate the remainder when 106 is divided by w.
16
Let p be ((-2)/3)/(2/33). Let w(s) = s**3 + 10*s**2 - 12*s - 3. Let i(c) = -648*c + 15. What is the remainder when i(0) is divided by w(p)?
7
Suppose 91 + 39 = -13*j. Let q be ((-6)/(-4))/((-15)/j*1). What is the remainder when 35 is divided by 3/(-36)*-39 - q/4?
2
What is the remainder when 301 is divided by 114*(6 - (-140)/(-24))?
16
Suppose 2*c = 8*c - 66. Suppose -2*k = 5*m - 149, -2*k = m + 3*m - 154. Let d = k + -68. Calculate the remainder when d is divided by c.
8
What is the remainder when (-2)/((-3784)/539 - -7) is divided by 10?
8
Let s = 344 + -347. Let c(d) = -d**3 - 3*d**2 + 12. Calculate the remainder when 66 is divided by c(s).
6
Let j(c) = -7*c - 35. Let u be j(-8). Suppose 120 = -u*g + 834. Calculate the remainder when 164 is divided by g.
28
Let h(x) = 2*x**2 - 1528*x - 15291. Calculate the remainder when h(-10) is divided by 47 - (0 + -1)*1.
45
Suppose 0 = -4*w - 2290 + 2510. Calculate the remainder when 998 is divided by w.
8
Let d = -11785 - -11821. Suppose 0*t = -7*t + 7. What is the remainder when d is divided by t?
0
Let q(s) = 7317*s + 58544. Let a = 6 - 3. Calculate the remainder when 1/a*(-93)/(-1) is divided by q(-8).
7
Let j be -2*(1 + (-2)/1). Suppose 3*b - 635 = -5*f, 2*b = f - j*b - 104. Let y(o) = -21*o**2 - 750*o + 258. What is the remainder when f is divided by y(-36)?
40
Let v be -2*3 + 0/(2 + 2). Let h be v*(20/(-90) - (-16)/18). Let z(r) = -3*r - 7. What is the remainder when 42 is divided by z(h)?
2
Let r = -33 + 68. Suppose i + d = 1, 4*i + 4*d - 1 = i. Suppose -5*v = 2*u + 2, -48 + 9 = -3*u + i*v. What is the remainder when r is divided by u?
8
Let m be 27 + (-3 - (-1 + 0)). Suppose m*o - 220 = 3*o. Let l(q) = 2*q**3 - 5*q**2 + 4*q + 3. What is the remainder when l(4) is divided by o?
7
Suppose 0 = -5*l + 3*a + 22165, -5*l + 11215 = 3*a - 10920. What is the remainder when l is divided by 13?
10
Let n = 12 +
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 10*r**3
Expand x**2 - x**2 - x**3 + (2*x + 3*x + 2*x)*(2*x**2 - 4 + 4) + x**3 - 2*x**3 + 0*x**3.
12*x**3
Expand -14*i + 2*i**2 + 1 + 12*i + 1 + (27*i - 14 + 14)*(2*i - 3 + 3).
56*i**2 - 2*i + 2
Expand (-2*j**2 - 2*j**2 + 0*j**2)*(7*j - 70 + 70).
-28*j**3
Expand (2 - 3 - 2)*(3 + 5 - 6 - 7*j) + 0*j + 0*j - j.
20*j - 6
Expand (-1 + 2*q**3 + 1)*(2 + 2*q**2 + 3*q**2 - 1).
10*q**5 + 2*q**3
Expand -2*r**5 + r**5 + 0*r**5 + (-r + 2*r**3 + r)*(-7*r**2 + 3*r**2 - 4*r**2).
-17*r**5
Expand ((1 - s - 1)*(-2 + 3 + 1) - 2*s - 3*s + 4*s + s - s - 2*s - s + 0*s + 3*s + 3*s - 2*s + 0*s - 4*s + 6 - 6)*(1 - 3*s - 1).
18*s**2
Expand (-31 - 2*t + 31)*(-3*t**2 + 2*t**4 + 3*t**2 + (t + 3*t - 3*t)*(2*t**3 + 3*t**3 - 6*t**3)).
-2*t**5
Expand (-3 + 4 + 0)*((5*c + 3*c**3 - 5*c)*(-5*c**2 + c - c) - c**5 + 4*c**3 - 4*c**3).
-16*c**5
Expand (-2 + 2 - 2*t)*(-3 - 1 + 5) + 4*t - 2*t - 3*t.
-3*t
Expand -6*k + 6*k - k + 2 + 2*k - 2 + (1 - 1 - 2)*(0*k - 2*k + k) + 2 + 2*k - 2 + (-2*k + k + 2*k)*(-5 + 3 + 1) - 4 + 4 - 3*k + 1 - 1 + 2*k.
3*k
Expand (4*y**2 - 6*y**2 + y**2)*(-4*y**2 - 16 + 16).
4*y**4
Expand (0*u - 2*u + 0*u)*(u + 3*u - 3*u) + 9*u**2 + 3*u**2 + 4*u**2 + 1 - u**2 - 1.
13*u**2
Expand ((-1 - 1 + 7)*(4*s + 0*s - 3*s) + 0 + 0 - s)*(-13*s - 1 + 8*s + 6*s).
4*s**2 - 4*s
Expand g**2 - 35*g + 35*g - 3 + (-3*g + 2 - 2)*(2*g + 3*g - g).
-11*g**2 - 3
Expand -6*k + 4*k + 0*k - 2*k + 6*k + 2*k + (-1 + 1 + 1)*(2*k + k - 2*k) + 0*k + 2*k - 4*k.
3*k
Expand 39*v - 39*v + 3*v**5 + (0 + 1 - 2)*(-v**3 - 3*v**5 + v**3).
6*v**5
Expand -m**5 + 2*m**5 + m**5 + (2*m**5 + 2*m**5 + 2*m**5)*(3 - 6 + 1) - 3*m**5 - 3*m**5 + 7*m**5.
-9*m**5
Expand (-3*s**3 + 4*s**3 + 9*s**3)*(-13 - 12 + 2).
-230*s**3
Expand (-1 - 1 - 1)*(3 + w**2 - 1 - 4*w**2).
9*w**2 - 6
Expand (2*r + 0 + 0)*(-2 - 1 + 1) + 5*r - r - 2*r + (1 - 2 + 2)*(3*r - 10*r + 0*r).
-9*r
Expand (1 - 1 + 2*o)*(o - 5*o + 0*o) - 5*o**2 + 2*o**2 + 5*o**2 + o - o + 3*o**2.
-3*o**2
Expand (-j + 2*j - 4*j)*(4*j**2 - 3*j + 0*j + 2*j).
-12*j**3 + 3*j**2
Expand (0*g - 2*g - g)*(0*g + 8*g + g) + (4*g - 3*g - 3*g)*(2*g + 4 - 4) + 3 - 2*g**2 - 3.
-33*g**2
Expand (3*t + t - 2*t)*(3 + 5*t - 3 + (0 + 4 - 2)*(3*t - 5*t - t)).
-2*t**2
Expand (2 + 2*p**2 - 2)*((1 - 2 + 3)*(-p**2 - p**2 + 4*p**2) + 4 + 2*p - 4 + 3*p**2).
14*p**4 + 4*p**3
Expand (x - x - x + (2 + 1 - 1)*(4 - 4 - 2*x) + 5*x - 4*x + 0*x + 4*x - 3*x + 0*x - 3 + x + 3 + 2*x - 4*x + x)*(2*x - x - 2*x)*(3*x + 0*x + 4*x).
21*x**3
Expand 2*b - 2*b - b**2 + (-6 + 0 + 4)*(2*b**2 + 3*b**2 - 2*b**2).
-7*b**2
Expand -m**3 + m**4 - m**4 - 4*m**5 + 0*m**3 + 0*m**3 - m**5 + (5*m**3 - 3*m**3 - 3*m**3)*(-1 + 1 - 2*m**2) - 4*m**5 - 3*m**5 + 5*m**5.
-5*m**5 - m**3
Expand -6*k + 3*k + k - 3*k - 2*k - k + (-5*k - 2*k + 5*k)*(1 + 2 - 5).
-4*k
Expand (-d - d + 0*d + (-3 + 3 + 2*d)*(0 - 3 - 2))*(-4*d + 2*d + 3*d).
-12*d**2
Expand -k + 2*k + 2*k - k - 4 + 4 + (4 + 1 - 3)*(2*k - 1 + 1) - 2 + 2 - 2*k.
4*k
Expand 0*v**2 + v**4 + 0*v**2 + (1 - 1 + 2*v**3)*(0 + 0 - 2*v) - v**2 + v**4 + v**2 - 8*v**4 + v**4 + v**4.
-8*v**4
Expand (-1 + 0 + 2 + 2*p)*(-2*p**2 - 10 + 10).
-4*p**3 - 2*p**2
Expand (-1 + 0 + 4)*(-2*t**5 + t**5 + 3*t**5) + 0*t**5 - 6*t**5 + 4*t**5 + t**5 + 0*t**5 + 2*t**5.
7*t**5
Expand (0 + 2 + 2*v + 0)*(0 + 2 - 4).
-4*v - 4
Expand (-2*o**4 + 0*o**4 - 2*o**4)*(2 + 1 - 1)*(0*o + 4*o + 5*o).
-72*o**5
Expand (2 - 1 + 1)*(-3*a**5 + 2*a**5 - 3*a**5) + 3*a**5 - 2*a**5 + a**5.
-6*a**5
Expand (-6*y**2 - y**2 - 16*y**2)*(-y + 0 + 0 + y + 1 - 1 - 2*y - 5*y + 5*y + (-4 - 2 + 4)*(-y + 0*y + 2*y) - 2 + y + 2).
69*y**3
Expand -5*b - 4*b + 4*b + ((2 - 3 + 3)*(3*b - b + 0*b) - b - 4*b + 6*b + b + 0*b + b)*(-1 + 2 - 3).
-19*b
Expand (0 + 0 + 2*p)*((2 + 1 - 4 + (4 - 2 - 3)*(2 + 3 - 3))*(64 - 64 + 8*p**2) + 0*p**2 + 4*p**2 + 0*p**2).
-40*p**3
Expand (-4 + 5 + 2)*(56*r - 14 + 12 + 4).
168*r + 6
Expand (c + 0*c + 0*c)*(-3*c**3 + c**3 + 0*c**3) - 3*c**4 + 1 - 1 + (3 - 3 - 2*c**2)*(c**2 + 2*c**2 - 2*c**2).
-7*c**4
Expand (-5*f + 0*f + 3*f)*(-6*f + 6*f - 4*f**3) - f**4 - 3*f**4 + 2*f**4.
6*f**4
Expand (3 - 1 - 4)*(-2*g**2 + 3*g**2 + 2*g**2)*(g + 6*g - g).
-36*g**3
Expand -z + 4*z - z + 2 - 2 - z + z + 0*z + 0*z + (0 - 1 + 3)*(0*z + 4*z - 2*z) + 0 + 0 + 2*z + 3*z + 2*z + 7*z.
20*z
Expand ((2*q - 2*q**3 - 2*q)*(2*q**2 + 0 + 0) - 13*q + 13*q + 13*q**5)*(0 + 0 + 1).
9*q**5
Expand (4*s - 4 + 4)*(83 - 8*s - 83).
-32*s**2
Expand (-7*m - 3*m - 2*m)*(2*m**2 + 3*m**2 - 3*m**2) + m**3 + 0*m**3 - 2*m**3 - 4 + 4 - 2*m**3.
-27*m**3
Expand 301*v**4 - 289*v**4 - 132*v**4 + (3*v**2 - 2*v**2 + 0*v**2)*(-2*v**2 - 1 + 1).
-122*v**4
Expand (-4*h**2 - 2*h**2 - 3*h**2)*(-2*h**3 + 2*h**3 + h**3 + (0*h + 0*h - 2*h**2)*(2 - 2 + 2*h) - 2*h**3 + 0*h**3 + 4*h**3).
9*h**5
Expand 2 + p - 2 + (-2 + 4 - 3)*(0*p + 3*p - 2*p) + 2 - 2 - p + 3*p + 0 + 2 - 5*p.
-3*p + 2
Expand (-n + 1 - 1)*(-8 + 12 - n - 6).
n**2 + 2*n
Expand (0 + 1 + 4)*(2*j**4 + 5 - 5) + (4*j**2 + 0*j**2 - 2*j**2)*(j**2 + 0*j**2 + j**2).
14*j**4
Expand (-6 + 4 + 1)*(6 + 6*g - 6)*(4 - 3 - 5).
24*g
Expand (-2*p - 13*p + 2*p)*(-1 - 1 - 1)*(5 - 3 - 4).
-78*p
Expand (-6*i**2 - i - 2*i + 8*i**2)*(3 - i - 3)*(3 - 5 - 5).
14*i**3 - 21*i**2
Expand -4*q**4 + 6*q - 6*q + 3 + 2*q**4 - 3 + (2*q**3 + q**3 - 5*q**3)*(3*q + 3*q - 3*q).
-8*q**4
Expand (-4 - 2*y**2 + 4)*(-6 + 4*y**3 + 6).
-8*y**5
Expand (12*p**3 - 3*p**3 + 3*p**3)*(-4*p + 5*p + p) + 2*p**4 + 0*p**4 + 2*p**4.
28*p**4
Expand (2*r**3 - 3*r**2 + 2*r**3 - 2*r**3)*(-3 + 3 - 3).
-6*r**3 + 9*r**2
Expand (4 - l**2 - 4)*(0 + 0 - 2*l**3) + (l**2 - l**2 - 3*l**2)*(-5*l**3 + 2*l**3 + 2*l**3).
5*l**5
Expand (0 - 1 + 0 - m)*(5*m**3 + 0*m**3 - 3*m**3).
-2*m**4 - 2*m**3
Expand (8*u - 3*u - 2*u)*(2*u**3 + 2*u**3 - 5*u**3 + (-4*u**3 + 3*u**3 - u**3)*(0 + 1 - 2)).
3*u**4
Expand (-3 + 12 - 6)*(1 + a - 1)*(0 + a + 0).
3*a**2
Expand (5*n - n - 2*n)*(1 + 0 + 1 + (1 + 6 - 5)*(1 + 4 - 2) + 0 + 1 + 0)*(-4*n**2 + 3*n**2 + 3*n**2).
36*n**3
Expand 0*z + z**2 + 0*z + (2*z + 4 - 4)*(4 - 1 - 5)*(-3*z + z + 0*z) + 3*z + 5*z**2 - 3*z.
14*z**2
Expand ((1 + 2 - 4)*(-3*h + 0*h + h) - 5 - h + 5)*(0*h**2 + 6*h**2 + 0*h**2).
6*h**3
Expand (1 + 16*r - 6*r - 9*r)*(0*r**4 + r**4 - 3*r**4).
-2*r**5 - 2*r**4
Expand -2*v - 2*v**2 + 5*v + 0*v + (0 + 2 + 8)*(-3*v + 3*v - 2*v**2).
-22*v**2 + 3*v
Expand (0 + 3 + 2)*(4*y + 0*y - 3*y)*(3*y - 4*y - y).
-10*y**2
Expand (2*p**3 - 2*p**3 + 2*p**3)*(-3*p + 3*p - p**2) + 3*p**4 - 3*p**4 + p**5 - p**2 + 3*p**5 + p**2.
2*p**5
Expand (2 - 6 + 1)*(-1 + 1 - 2*x)*(-2*x**2 - 2 + 2).
-12*x**3
Expand (-3*x + 8*x + 4*x)*(2*x**3 + 2*x**3 - 3*x**3).
9*x**4
Expand (-3*x - 32 + 32)*(2*x**2 - x**2 - 3*x**2) - 3 + 3 - 2*x**3.
4*x**3
Expand (-2*s - 2*s + 2*s + (2*s + 2*s - 6*s)*(1 - 5 + 5) + 1 + s - 1)*(-6*s + 0*s + 4*s).
6*s**2
Expand 4*m**3 + m - m + (-m - m + 0*m)*(2*m**2 - 2*m + 2*m) - 18*m - 16*m**3 + 18*m.
-16*m**3
Expand -x**5 + 3*x**5 + 0*x**5 + (0*x**3 - 2*x**3 - x**3)*(3*x**2 - 6*x**2 - 3*x**2 + (-x - x + x)*(-5*x + x + 3*x)).
17*x**5
Expand 3*o**5 - 2*o**5 - 2*o**5 - o**5 + 6*o**5 + 0*o**5 + (2*o**3 - 5*o**3 + 5*o**3)*(o - o + o**2).
6*o**5
Expand (5*w**2 - 5*w**3 - 5*w**2)*(1 - 3*w - 1 + (0 - 2 + 4)*(-w + w - 2*w) + 0*w - w + 0*w).
40*w**4
Expand (5*p - p - 9*p)*(-2*p + p**2 + 2*p) + 0 + p**3 + 0 + (0*p**2 + p**2 + p**2)*(2*p - 1 + 1) - 2*p**3 - 2*p**3 + 3*p**3.
-p**3
Expand (0 + 1 - 2)*(-364*d + 364*d - 2*d**5 - 1 + 3*d**3).
2*d**5 - 3*d**3 + 1
Expand 2*o**2 + 2*o**2 - 5*o**2 + (0*o - 5*o + 3*o)*(-4*o + 6*o - 3*o) + 0*o**2 + 3*o**2 - o**2 + o - o - 2*o**2 - 4*o**2 + 3*o**2 + 4*o**2.
4*o**2
Expand -2*r + 17 - 17 + (0 - 6 + 3)*(-r + 0*r + 2*r) + (1 - 1 - 2*r)*(-6 + 4 + 0).
-r
Expand (0*h - h + 2*h - 3*h - h + h + (-h - 1 + 1)*(-3 + 1 + 1) + 0 - h + 0)*(-2 - 2 + 3).
2*h
Expand 1 + 2*j - 1 + (-3*j - 3*j + 5*j)*(5 - 2 - 5).
4*j
Expand (3 + 2 - 4 + (-1 + 6 - 3)*(0 + 2 - 1) - 1 - 2 + 4)*(-6 + 1 + 0)*(0 + 0 + 2*y).
-40*y
Expand (-2*m**2 - 2*m**2 + 3*m**2)*((-m + 5*m - 3*m)*(0 + 3 - 1) - 3*m - 3 + 3) - 4*m**3 + 4*m**3 + 4*m**3.
5*m**3
Expand (d**3 + 2*d**3 + d**3)*(-5 + 1 + 7*d + 2).
28*d**4 - 8*d**3
Expand (9 + 0 - 3)*(4 - 2 - 3)*(3*n - 2*n + n).
-12*n
Expand (1 - 1 + t)*(0*t - t - 2*t) + 0*t**2 + 0*t**2 + t**2.
-2*t**2
Expand (-10 - 4*o + 10 + (0 + 3 - 4)*(-3 + 3 + 2*o))*(2*o - 3*o + 2*o).
-6*o**2
Expand ((0 + 3 - 4)*(0 - 3 + 2) + (4 - 1 - 4)*(-1 + 2 + 1) - 3 + 1 - 2)*(1
|
{
"pile_set_name": "DM Mathematics"
}
|
.3
a
Which is the smallest value? (a) -3 (b) -1/3 (c) -0.347 (d) 5
a
What is the smallest value in -0.0296, -0.8, -2/5, 4, 5?
-0.8
What is the second smallest value in 0.4, 4, 356, 12?
4
What is the fourth biggest value in -0.5, 6, 1/6, 1/22?
-0.5
What is the second smallest value in -0.7, 0, 0.087?
0
What is the smallest value in 3, -0.1, -7, 1/5?
-7
Which is the smallest value? (a) -2/41 (b) 8 (c) 0.5
a
Which is the smallest value? (a) 0.52 (b) -6 (c) 0.3
b
Which is the biggest value? (a) -1/2 (b) -1/3 (c) 1/62 (d) 4/7
d
Which is the third biggest value? (a) 4 (b) 0.51 (c) -0.1 (d) -4 (e) 0.2
e
Which is the third smallest value? (a) -11 (b) 4 (c) -5 (d) -0.4
d
Which is the fourth smallest value? (a) 7/4 (b) 4 (c) 1 (d) -7
b
What is the biggest value in 1.8, 2, -1.7, -2?
2
What is the second biggest value in 2, -1/5, 1?
1
What is the biggest value in 1/4, 36, -71?
36
What is the smallest value in -1/8, 2/35, 1, 2/3?
-1/8
What is the biggest value in -2, -0.194, 2?
2
What is the third smallest value in -25, 0.3, -1/6, -3?
-1/6
Which is the fourth biggest value? (a) 3 (b) 11 (c) -0.01 (d) -0.3 (e) 1/2
c
What is the third smallest value in 0.5, -2, 2, -0.1?
0.5
Which is the second biggest value? (a) 0.1 (b) -4 (c) -17 (d) -1
d
What is the biggest value in -3, 0, -3/4, -0.011, -2/3?
0
Which is the smallest value? (a) -11408 (b) 3/2 (c) 5
a
What is the smallest value in 0, 3, -2/13, 3/5?
-2/13
What is the second smallest value in -18/11, -5/4, -48?
-18/11
Which is the second biggest value? (a) -0.2 (b) 4 (c) -6 (d) 6 (e) 5
e
Which is the biggest value? (a) -33 (b) -0.3 (c) -1/3 (d) -2/3
b
Which is the second smallest value? (a) 5 (b) -0.4 (c) 2 (d) -0.046
d
What is the third smallest value in -0.09, 0.15, 1/2?
1/2
Which is the second smallest value? (a) 1 (b) 0.3 (c) 100 (d) -2
b
What is the fourth smallest value in 1.43, 0.5, 0, 3, -5?
1.43
What is the third smallest value in -83, -14, 3?
3
Which is the fourth biggest value? (a) -3/2 (b) 5 (c) 0.09 (d) -0.2 (e) 4
d
What is the biggest value in 0.77, 1/2, 0.2?
0.77
What is the biggest value in 6, 467/6, -2?
467/6
What is the third biggest value in -123, -1/3, 3?
-123
What is the biggest value in 2, 0.3, -33, -2/13?
2
Which is the second biggest value? (a) 0.2 (b) 4 (c) -3/4 (d) 20 (e) 3
b
What is the third smallest value in 2/7, 4, -20, 0.3, 1/3?
0.3
Which is the third biggest value? (a) -0.1 (b) -276 (c) -1
b
Which is the third biggest value? (a) 0 (b) 2/3 (c) -0.1 (d) -1/57
d
What is the third biggest value in 0.4, -1/6, -0.4, 510, -1/7?
-1/7
What is the biggest value in -4, -2, -3/320?
-3/320
What is the smallest value in 0.3, -1/65, -0.05?
-0.05
What is the second biggest value in 1/6, 1.6, 5?
1.6
Which is the smallest value? (a) 0.1 (b) 4/3 (c) 0.2 (d) 3/43
d
Which is the fourth smallest value? (a) 3/2 (b) 5 (c) 3 (d) 0 (e) -2/121
c
Which is the third biggest value? (a) -2/5 (b) 2/41 (c) 1/13 (d) -2/3 (e) -0.5
a
Which is the second biggest value? (a) 7 (b) -2/7 (c) -0.4
b
What is the second biggest value in 1/40, 0, -0.3, 0.2?
1/40
Which is the biggest value? (a) 0.4 (b) -1 (c) 87 (d) -8
c
Which is the biggest value? (a) 51 (b) 9 (c) -4 (d) -0.4
a
What is the smallest value in 5, -1, -11.3, 0?
-11.3
What is the second biggest value in 22, -0.2, 1/44, 0.05, 5?
5
Which is the smallest value? (a) -1.8 (b) 4 (c) 0.4
a
Which is the second smallest value? (a) 25 (b) -6 (c) 5 (d) -1
d
Which is the second biggest value? (a) -85 (b) 5 (c) 2
c
What is the smallest value in 0.2, 4, 0.1, -13/4, 1/4?
-13/4
Which is the third biggest value? (a) -7 (b) 0.02 (c) 1/4 (d) 4
b
What is the second biggest value in -2/7, -1, 0, 5?
0
Which is the fourth biggest value? (a) 0 (b) -8 (c) -1 (d) -5/4 (e) -0.129
d
What is the third biggest value in -3/2, 3, 3/2, -0.2, -0.6?
-0.2
What is the biggest value in -0.5, -4, -3, -103?
-0.5
What is the smallest value in 0.4, 5, 22/7, 0?
0
What is the smallest value in -16, -9, 3, -1?
-16
Which is the smallest value? (a) -6/5 (b) -4 (c) -1 (d) 0.2
b
Which is the fourth biggest value? (a) 0.03 (b) 0 (c) 0.1 (d) -5
d
Which is the third smallest value? (a) -11 (b) -0.02 (c) -0.1
b
What is the fourth smallest value in 54, 1/6, 0.06, -1/5?
54
Which is the second biggest value? (a) -18/23 (b) 7/3 (c) 4
b
What is the fifth smallest value in 74, -0.5, 7, 0, -0.4?
74
Which is the biggest value? (a) -1/5 (b) 1195 (c) 4/5
b
Which is the second smallest value? (a) 0.3 (b) 2 (c) 2/13
a
Which is the fifth smallest value? (a) 4 (b) -4 (c) 11 (d) -3/16 (e) -0.4
c
What is the biggest value in -0.4, 1002, 3, -1?
1002
Which is the third biggest value? (a) 4/11 (b) 0 (c) -6
c
What is the second smallest value in -10/9, 26, 0.5?
0.5
What is the biggest value in 0, -0.4, 2, 65, -2?
65
Which is the second smallest value? (a) 3 (b) -1/3 (c) 6 (d) 0.02
d
What is the second biggest value in 4, 2/17, 6.1?
4
Which is the second smallest value? (a) 6 (b) -0.2 (c) -4/7 (d) 10
b
Which is the fourth biggest value? (a) -5 (b) 4 (c) -1 (d) -2
a
Which is the fourth biggest value? (a) -1 (b) -0.5 (c) -2 (d) 3
c
What is the smallest value in 3, 2/7, 0?
0
Which is the second biggest value? (a) -4 (b) 3/2 (c) 0.043
c
Which is the biggest value? (a) 0.3 (b) 84 (c) -1
b
Which is the third biggest value? (a) 4 (b) 0.0422 (c) 0.2
b
What is the smallest value in 1/7, -18/61, 2, -1/3?
-1/3
Which is the second biggest value? (a) -6 (b) -1 (c) -2/497
b
Which is the biggest value? (a) -0.5 (b) -0.07 (c) 39
c
What is the second biggest value in -0.7, 2/3, 10, -2/13?
2/3
Which is the fourth biggest value? (a) 2/15 (b) 2 (c) -2 (d) -294 (e) -5
e
Which is the biggest value? (a) 1/6 (b) -1 (c) -1/5 (d) 5/2 (e) -2
d
What is the biggest value in -4, 1/4, 19?
19
Which is the second biggest value? (a) 0.314 (b) 2/9 (c) -0.2 (d) 4
a
Which is the second smallest value? (a) -2 (b) -22 (c) 1/18 (d) -0.3 (e) 4
a
Which is the second biggest value? (a) -3 (b) -23 (c) -5 (d) 3
a
What is the biggest value in 0.15, 4, 1?
4
Which is the biggest value? (a) 18 (b) -2/7 (c) -1/4 (d) -4/3 (e) 0.5
a
Which is the smallest value? (a) -154 (b) -0.03 (c) -0.01
a
Which is the third smallest value? (a) -1 (b) 5 (c) -2 (d) 0
d
Which is the smallest value? (a) -9 (b) 0.5 (c) 7 (d) -3
a
What is the fifth smallest value in 0.4, -0.1, -5, 1/2, 37?
37
What is the second biggest value in -4, 1, 0.4, 97?
1
What is the third smallest value in 0.1, -4, 19, -3/10?
0.1
Which is the second biggest value? (a) 2/3 (b) 1/4 (c) 2/13 (d) -3/44 (e) 3
a
Which is the fourth biggest value? (a) 1/2 (b) -0.18 (c) 2/11 (d) 0.15 (e) 1
d
What is the second biggest value in 2/5, 271, -1, -3?
2/5
Which is the biggest value? (a) 2/1037 (b) -0.4 (c) -1/4
a
Which is the third smallest value? (a) -2/5 (b) 26.4 (c) 1
b
Which is the second smallest value? (a) -42/11 (b) 1 (c) -1 (d) 4
c
What is the second biggest value in -3, -0.3, 2, 473?
2
Which is the fifth smallest value? (a) 4 (b) -4 (c) 0.2 (d) 2 (e) 1/51
a
What is the third smallest value in 5, -0.7, 1/5, 0?
1/5
What is the third smallest value in -7/3, 1/2, -1?
1/2
Which is the third biggest value? (a) -17 (b) 5 (c) -0.12 (d) 3/5
c
What is the biggest value in 0.2, 0, -7/9?
0.2
What is the third biggest value in 9, -0.2, 2/7, 2?
2/7
What is the second smallest value in -3, 2535, 2/5, -1/10?
-1/10
What is the fourth biggest value in 0, -0.007, -1/6, 0.01?
-1/6
What is the second biggest value in -1/12, -24/11, 2.5?
-1/12
Which is the third smallest value? (a) -1/2 (b) -2/9 (c) 51
c
What is the third smallest value in 1, -6, -0.5?
1
What is the third smallest value in -0.1, -3.09, 2, -2?
-0.1
Which is the fifth smallest value? (a) 1 (b) 2 (c) -22 (d) 1/2 (e) -1
b
What is the biggest value in 0.4, 7/5, 4/3, -5?
7/5
Which is the biggest value? (a) -511 (b) -3/7 (c) 2/13
c
What is the smallest value in -0.1, -601, -2/9?
-601
Which is the biggest value? (a) 5 (b) -3 (c) -1/5
a
What is the second biggest value in -1/3, 10, -0.12, -1/5?
-0.12
Which is the third biggest value? (a) -4
|
{
"pile_set_name": "DM Mathematics"
}
|
et b(q) = 5*l(q) - 6*t(q). Suppose 15 = 3*x - 0. Determine b(x).
5
Let v(t) = -12*t - 12 - 24*t**2 + 33*t**2 + 0 + t**3. Calculate v(-10).
8
Let o(n) = -2*n - 2. Let j be o(-2). Let y(m) = -4 + 3*m - 9*m + m + m**j. Calculate y(5).
-4
Suppose 25 = l - 4*c, -l + 6*l - 41 = -c. Let i(o) = -2*o + 9. Give i(l).
-9
Let m(q) = 2*q + 12. Let w(s) = -s**3 - 22*s**2 - 107*s - 34. Let x be w(-15). Calculate m(x).
4
Let p(o) = 10*o**2. Let s(g) = -4*g**2 - 31*g + 46. Let d be s(-9). Determine p(d).
10
Let t(d) = d - 6. Suppose -2*c = 14 - 22. Determine t(c).
-2
Let u(t) = 18 - 16 - t - 12 + 2*t - 3. Give u(7).
-6
Let l = -3 + -1. Let r(n) be the first derivative of -2*n**2 - 3*n - 11. Give r(l).
13
Let w be 18/162 - 490/(-45). Let p(g) = -3*g + 25. What is p(w)?
-8
Let b(g) = -6 - 4*g - g + 8 + 3*g. Calculate b(5).
-8
Let k(b) = -5*b + 4*b**2 - 3 - b**2 - 6*b**2. Let t(m) = m - 4 - m - 2*m**2 - 5*m. Let y(i) = 3*k(i) - 4*t(i). Calculate y(6).
1
Let f = 137 - 193. Let y be (f/70)/((-1)/(-5)). Let h(p) = p**2 + 4*p + 3. Let d be h(y). Let i(l) = 2*l**2 - 3*l - 2. Give i(d).
7
Let z(d) = 2*d - 33. Let w(j) = -2*j + 34. Let f(o) = -8*w(o) - 9*z(o). What is f(10)?
5
Let q(n) = -n**3 + 3*n**2 + 30*n + 2. Let k(h) = h**3 - 4*h**2 - 20*h - 2. Let u(p) = -3*k(p) - 2*q(p). Let v be -1*1 - (-1 - 6). What is u(v)?
2
Suppose 4*s - 2*s - 2*t + 18 = 0, 5*t + 5 = 0. Let z = 12 + 0. Let w = s + z. Let f(y) = y**3 + y**2 + 2*y - 1. Give f(w).
15
Let i = -239 + 239. Let a(c) = c + 7. Calculate a(i).
7
Suppose -3*m + 24*i = 19*i + 9, i - 1 = m. Let w(h) = -3*h**3 - 2*h**2 + 3*h - 3. Calculate w(m).
-29
Let g = -59 - -29. Let c be (-400)/32*(2 - 3)*2. Let x = c + g. Let t(p) = -p**2 - 5*p - 7. Calculate t(x).
-7
Let b(t) = 3*t**2 + 7*t + 12. Let h(q) = 4*q**2 + 7*q + 16. Let u(m) = -3*b(m) + 2*h(m). Give u(-4).
8
Let c(z) = -z**2 + 3*z + 4. Suppose 5*h - 26 = 24. Let p(b) = b**2 - 12*b + 24. Let m be p(h). Determine c(m).
0
Let y(s) = s**3 + s + 12. Let j be 0/(3*-1)*(28 + -29). What is y(j)?
12
Let o(i) = -6*i**2 + i - 1. Suppose 5*j - 84 - 46 = 0. Suppose -8*m - 5*x - 20 = -3*m, 5*x = m - j. Calculate o(m).
-6
Let y(d) = -12*d + 36. Let v(l) = -6*l + 21. Let h(g) = -5*v(g) + 3*y(g). What is h(5)?
-27
Let o = 453 + -462. Let h(k) = -k**3 - 10*k**2 - 9*k + 4. Give h(o).
4
Let v be ((-6)/(-9) + 3)/(10/(-30)). Let c(f) = -f**2 - 12*f - 9. Calculate c(v).
2
Let d(h) be the first derivative of -3*h**4/4 + h**2 - h - 2. Suppose 2*z + 7*z = 9. Determine d(z).
-2
Let q = 482 - 479. Let x(i) = i**3 - 2*i**2 - 3. Calculate x(q).
6
Suppose -k - 3*h = -20, -15*h + 20*h - 15 = 0. Let n(w) = w**2 - 9*w - 5. Give n(k).
17
Let c(q) = 6*q**2 - 259*q + 252*q + 4*q**3 - 5*q**3. What is c(4)?
4
Let r(l) = l**2 + 3*l - 3. Let p = 3 + -1. Suppose 0 = n - p + 6. Let y be r(n). Let q(t) = 4*t**3 + t - 1. Give q(y).
4
Let n(m) = -3*m**2 - 17*m - 13. Let l(d) = -8*d**2 - 36*d - 27. Let r(s) = 2*l(s) - 5*n(s). What is r(12)?
23
Let u = 12 - 11. Let c be 203/14 + u/(-2). Suppose -c = 2*v - 2. Let k(a) = -a**3 - 7*a**2 - 7*a - 3. Determine k(v).
3
Let y(p) = -7*p - 25. Let v(l) = 2*l + 9. Let a(h) = -17*v(h) - 6*y(h). Determine a(2).
13
Let c(q) = -q**2 + 4*q + 5. Let b(w) = w**2 + 2*w + 3. Let s be b(-4). Suppose -35 = 4*k - s*k. Determine c(k).
0
Let f = 34 + -21. Suppose r - f = -5*u, 3*r = 3*u - 0 + 3. Let x(l) = -1 + 11 + u*l - 5. What is x(4)?
13
Let f = -29 - -22. Let b(d) = 3*d**3 + 11*d**2 - 4*d + 21. Let q(t) = -t**3 - 4*t**2 + t - 7. Let v(k) = f*q(k) - 2*b(k). Give v(-6).
1
Let b = -162 - -184. Let f(m) = 2*m - 50. Determine f(b).
-6
Let s(j) = j**2 - 2*j + 3. Let l be (7 - 9) + (4 - 0). Suppose -l*i - 3 = -7. Give s(i).
3
Let i(h) = -17*h + 18*h - 7 + 4. Determine i(3).
0
Let i = -1198 + 1201. Let s(f) = 3*f - 1. Determine s(i).
8
Let d = 10 - 9. Let g = 3 - d. Let h(j) = -j**3 - 8*j**2 + 3*j**2 + 4 + 3*j**g. Give h(-3).
13
Suppose -2*q - 546 = -3*x, 0*x = -4*x - 3*q + 711. Let d(l) = 371*l - 1 - 180*l - x*l. What is d(2)?
21
Let n(x) = -x**2 + 2*x + 4. Let q be (-3)/6*-2 - -2. Suppose 0 = p - 3, u - 20 = q*p - 4*p. Let g = u - 14. Determine n(g).
1
Let t(n) = 2*n + 5. Suppose -5*o + 35 = -5*u, 0 = 2*o - 5*o - 5*u + 13. Let z = -2 - -7. Let h be (o/z)/((-3)/15). What is t(h)?
-7
Let f(r) be the first derivative of -r**5/10 + r**4/6 + 2*r**3/3 - r**2/2 + r - 19. Let q(u) be the first derivative of f(u). Determine q(3).
-25
Suppose -152 = -14*a + 2. Suppose a*o = -26 + 4. Let d(q) = -q**3 - q**2 - 2. Give d(o).
2
Let m(v) = 18*v + 46. Let f be m(-3). Let k(y) = -y**3 - 7*y**2 + 12*y + 2. What is k(f)?
-30
Let w(c) = -5*c**2 + 2*c - 3. Let n(o) = 12*o**2 - 7*o + 6. Let d(m) = 3*n(m) + 7*w(m). Calculate d(7).
-3
Let v(x) = -x**3 - 7*x**2 + 7*x - 9. Let y be v(-8). Let s(k) = -26*k - 2. Let h be s(y). Let m be (-6)/(-4) - h/16. Let w(c) = c**2 - c - 5. Determine w(m).
-5
Let i(t) = t**3 - 3*t**2 - 4*t + 4. Let v be i(4). Suppose -3*c - 21 = -6*c. Let h(s) = -s**2 - 4 - 3 + v*s + c + 1. Give h(5).
-4
Let c(u) = u**2 - 3. Let j = 425 - 421. Determine c(j).
13
Let i(r) be the second derivative of -r**3/3 - 5*r**2/2 - 156*r. Calculate i(-7).
9
Let z(i) = 4*i - 1. Let k = 2 - -19. Let h be ((k/2)/(-7))/(6/(-20)). Calculate z(h).
19
Let q(l) = -5*l**3 - 5*l**2 - 7 + 3*l**3 + 3*l**3. Determine q(5).
-7
Let o(g) be the third derivative of -1/3*g**3 + 0 + 1/24*g**4 - 8*g**2 + 0*g. Let x = 1 - -1. What is o(x)?
0
Suppose 0*b = 4*b. Let v be b + 0 - 4/2. Let a(r) be the second derivative of r**3/3 + 3*r**2/2 - 410*r. What is a(v)?
-1
Let l(j) = 14*j + 10. Let k(u) = u + 1. Let b(i) = -10*k(i) + l(i). What is b(-3)?
-12
Let n(z) = z**2 + 7*z - 7. Let d = 90 - 36. Suppose 6*g = -0 - d. Determine n(g).
11
Let v(w) = -2*w - 2 + 4 - 4 + 5*w + w**2. What is v(-3)?
-2
Let c(s) be the third derivative of s**6/120 - s**5/10 + s**4/4 - 2*s**2. Let j(o) = 6*o**2 - 31*o + 9. Let a be j(5). Determine c(a).
-8
Suppose -5*m + 2*m = -21. Let h(i) be the first derivative of i**2 - 6*i + 6. What is h(m)?
8
Suppose -4*i + 20 = i - 5*q, -4*i + 5*q = -11. Let c(t) = -1 - 4*t + t + i*t - t. Calculate c(3).
14
Let c(k) = 9 + 4 - 3*k + 2 - 13 + 8. Give c(3).
1
Let s = 769/2298 + -1/766. Let m(w) be the third derivative of -3*w**2 + 0 + s*w**3 + 0*w + 1/12*w**5 + 1/120*w**6 - 1/12*w**4. Give m(-5).
12
Let n(j) = j + 6. Let r be n(-15). Let o(y) = -y**2 + 13*y + 7. Let c(g) = 6*g**2 - 67*g - 37. Let a(z) = -2*c(z) - 11*o(z). Calculate a(r).
-3
Suppose -2*g = -25 - 5. Let v(m) = -m**2 + 16*m - 14. Let d be v(g). Let c(o) be the second derivative of -17*o**3/6 + o**2/2 + o. Calculate c(d).
-16
Let g(v) = -v + v + v - 9*v - 2. Determine g(-4).
30
Let u be (-5)/10 + (-10)/4. Let g(j) = 3*j**3 - 3*j**2 - j + 2. Let v(k) = 6*k**3 - 7*k**2 - 2*k + 5. Let c(t) = u*v(t) + 7*g(t). Determine c(-1).
-3
Suppose -v + 1 = -17. Suppose 0 = -0*h + 2*h - v. Let t(p) = p + 1 + 2*p**2 + p + h*p**3 - 4*p. Determine t(1).
10
Suppose -5*b - 6*b = -33. Let g(c) = b + c + 8 - 3 + 0. Calculate g(0).
8
Let z(f) = -f**2 + 7*f + 3. Let q(g) = 2*g**2 - 9*g - 4. Let y(t) = 2*q(t) + 3*z(t). What is y(-5)?
11
Let c(m) = m - 3. Let f be (-3)/((-26)/(-9) - 3). Let r = -22 + f. Determine c(r).
2
Let w(p) = -5*p - 7 + 1 + 7*p - p - 3*p**2 - 1. Calculate w(5).
-77
Let l(t) = -8*t + 10 - 14 + 5*t**3 - 2*t**3 - 7*t**2 - 4*t**3. Determine l(-6).
8
Let g(x) = -x - 4. Let z be g(-7). Suppose i = -z*w + 4*i + 27, -31 = -3*w - i. Let o be (4/w)/((-15)/150). Let t(f) = -f**2 - 3*f - 3. Determine t(o).
-7
Let y(a) = 21 - 6*a**2 - 2*a - a**3 - 17 + 2*a**2. Suppose 3*x - 18 = 12. Let k be (-12)/30 - 36/x. Give y(k).
12
Suppose -22 = 25*n - 172. Let l(c) = -c**2 + 3*c + 5. Determine l(n).
-13
Let o(k) = -16 + 0*k + 12 + k. Let l = -18 + 18. What is o(l)?
-4
Let c = -20 + 22. Suppose -d + 4*o + c = 1, 0 = 3*d + 3*o - 18. Let h(j) be the second derivative of -j**3/6 - 3*j**2/2 + 3*j. Calculate h(d).
-8
Let m(x) = -2*x**2 + 6*x. Let a be m(4). Let c(v) = -56*v - 3. Let y(p) = 9*p - 1. Let r(w) = -c(w) - 6*y(w). Determine r(a).
-7
Suppose 4 = -13*k + 12*k. Let g(j) = 5*j**3 - 10*j**2 + j - 8. Let h(c) = -c**3 + c**2 + 1. Let u(r) = g(r) + 6*h(r). What is u(k)?
-6
Let h(f) be the third derivative of -f**4/12 + 4*f**3/3 - 51*f**2. Determine h(6).
-4
Let g(c) = 749*c + 7 - 373*c -
|
{
"pile_set_name": "DM Mathematics"
}
|
9
What is the next term in 241015, 241007, 240997, 240985, 240971, 240955?
240937
What is next in 269, 2235, 7581, 17999, 35181, 60819, 96605, 144231?
205389
What is the next term in -2945, -11778, -26495, -47096?
-73581
What is the next term in 5385, 5374, 5341, 5274, 5161, 4990, 4749, 4426?
4009
What is next in 215, -379, -973?
-1567
What comes next: 23286, 23287, 23288?
23289
What comes next: -104735, -209470, -314205, -418940, -523675?
-628410
What comes next: -93, -160, -327, -642, -1153, -1908, -2955?
-4342
What comes next: 9728, 19455, 29182, 38909, 48636?
58363
What is the next term in 1276, 1254, 1212, 1144, 1044?
906
What comes next: -2602, -10308, -23150, -41128, -64242?
-92492
What comes next: -1009, -1980, -2903, -3760, -4533, -5204, -5755, -6168?
-6425
What comes next: -801, -3130, -7007, -12432, -19405, -27926?
-37995
What is next in 1380, 2590, 3800?
5010
What comes next: -22943, -45878, -68813, -91748, -114683, -137618?
-160553
What is the next term in 3304, 3301, 3302, 3313, 3340, 3389, 3466, 3577?
3728
What is the next term in 9154, 18296, 27444, 36598?
45758
What is the next term in -35, -379, -1329, -3191, -6271, -10875?
-17309
What is next in -377, -378, -379?
-380
What comes next: -8411, -16821, -25231?
-33641
What is the next term in -5566, -11139, -16712, -22285?
-27858
What is the next term in 96, 274, 452?
630
What is the next term in -339, -1318, -2945, -5214, -8119?
-11654
What comes next: -4553, -18181, -40897, -72701, -113593, -163573, -222641?
-290797
What comes next: -6377, -6362, -6333, -6290?
-6233
What is the next term in 1018, 909, 608, 19, -954, -2407, -4436, -7137?
-10606
What comes next: -16307, -17437, -18569, -19703, -20839, -21977?
-23117
What is the next term in -42228, -42214, -42186, -42138, -42064, -41958, -41814, -41626?
-41388
What is the next term in -1377607, -1377610, -1377613, -1377616, -1377619?
-1377622
What comes next: -169, -321, -485, -667, -873, -1109, -1381, -1695?
-2057
What comes next: -31012, -31017, -31026, -31039?
-31056
What is next in -105, 25, 167, 327, 511, 725, 975?
1267
What is next in -313, -1287, -2907, -5167, -8061, -11583?
-15727
What comes next: -65, -136, -231, -362, -541, -780, -1091, -1486?
-1977
What is the next term in 413008, 413004, 412998, 412990, 412980, 412968, 412954?
412938
What is next in 9752, 9886, 10008, 10112, 10192, 10242?
10256
What comes next: -1295, -1612, -1929, -2246?
-2563
What comes next: -433041, -433039, -433035, -433029, -433021?
-433011
What is next in 2137, 16899, 56921, 134833, 263265, 454847, 722209, 1077981?
1534793
What is next in -1635, -4708, -9823, -16974, -26155, -37360?
-50583
What is next in -7234, -14524, -21920, -29476, -37246?
-45284
What comes next: -321, -1885, -6137, -14421, -28081, -48461?
-76905
What comes next: -627, -2977, -6891, -12363, -19387, -27957, -38067, -49711?
-62883
What comes next: 6039, 12090, 18149, 24222, 30315, 36434?
42585
What is the next term in -469, -4097, -13943, -33115, -64721, -111869?
-177667
What is next in -72, -315, -708, -1245, -1920, -2727, -3660, -4713?
-5880
What is the next term in -333, -2624, -8815, -20856, -40697?
-70288
What is next in 5405, 10834, 16263?
21692
What comes next: 4528, 4493, 4458, 4423, 4388?
4353
What is the next term in 55, 80, -99, -662, -1789?
-3660
What is the next term in -1331570, -2663142, -3994714, -5326286?
-6657858
What is next in 206, 394, 534, 602, 574?
426
What is the next term in 12277, 24495, 36713?
48931
What comes next: 11, 7, -7, -31, -65?
-109
What is the next term in 2052, 2059, 2054, 2025, 1960, 1847?
1674
What comes next: -18139, -36433, -54725, -73015, -91303?
-109589
What is the next term in -491, -208, 73, 352, 629, 904?
1177
What is the next term in -436, -463, -532, -667, -892, -1231, -1708?
-2347
What is the next term in -7289, -14582, -21875, -29168?
-36461
What is next in -1288, -2635, -3982, -5329?
-6676
What is next in -2734, -2696, -2602, -2428, -2150, -1744, -1186, -452?
482
What comes next: -19035, -19056, -19077?
-19098
What is the next term in -3588, -5558, -7528?
-9498
What comes next: -5819, -5799, -5779, -5759?
-5739
What comes next: -97884, -195770, -293656, -391542?
-489428
What comes next: -29210, -58445, -87692, -116957, -146246, -175565, -204920?
-234317
What comes next: 6249, 11963, 17677, 23391, 29105, 34819?
40533
What is next in -116, -242, -412, -626, -884, -1186, -1532?
-1922
What is the next term in 40, 85, 156, 265, 424, 645?
940
What comes next: -27328, -54657, -81984, -109309, -136632, -163953?
-191272
What comes next: -39886, -40028, -40180, -40348, -40538, -40756, -41008, -41300?
-41638
What comes next: -26080, -26088, -26096, -26104, -26112, -26120?
-26128
What comes next: -48, -50, -40, -18?
16
What is the next term in -55136, -110363, -165590, -220817?
-276044
What is the next term in 11794, 11780, 11762, 11740, 11714, 11684?
11650
What is next in -2217, -2214, -2211, -2208, -2205, -2202?
-2199
What comes next: -3370, -4134, -5408, -7192, -9486, -12290, -15604?
-19428
What is the next term in 3016, 3026, 3054, 3106, 3188, 3306, 3466, 3674?
3936
What is next in 94612, 189299, 283986, 378673?
473360
What is the next term in 993, 1041, 1091, 1149, 1221?
1313
What is the next term in 64192, 64191, 64190, 64189, 64188?
64187
What comes next: 5040, 9916, 14798, 19692, 24604?
29540
What comes next: -8798, -35186, -79164, -140732, -219890, -316638, -430976?
-562904
What is next in 356, 789, 1236, 1697, 2172, 2661, 3164?
3681
What is the next term in -166, 119, 594, 1259?
2114
What comes next: 96, 292, 688, 1332, 2272, 3556, 5232, 7348?
9952
What comes next: 1278, 1161, 1044, 927?
810
What is the next term in -101, -284, -595, -1040, -1625, -2356, -3239, -4280?
-5485
What comes next: 4006, 4009, 4012, 4015, 4018?
4021
What comes next: -8124, -16311, -24496, -32679, -40860, -49039, -57216?
-65391
What comes next: 2783, 5539, 8281, 11003, 13699, 16363, 18989, 21571?
24103
What is the next term in -856, -1783, -2720, -3673, -4648, -5651, -6688?
-7765
What comes next: -25745, -25769, -25793?
-25817
What is next in -3203, -3495, -3787?
-4079
What is next in -11104, -11093, -11078, -11059, -11036?
-11009
What comes next: 1038, 701, -190, -1911, -4738, -8947, -14814, -22615?
-32626
What is the next term in 945, 1954, 2977, 4020, 5089, 6190, 7329?
8512
What is the next term in -32464, -64913, -97344, -129757, -162152?
-194529
What is the next term in 1051, 948, 783, 562, 291?
-24
What is the next term in -351449, -702896, -1054343, -1405790, -1757237, -2108684?
-2460131
What is the next term in -161, -190, -253, -362, -529?
-766
What is the next term in 2399, 2344, 2275, 2186, 2071, 1924, 1739?
1510
What is the next term in 40701, 40702, 40703, 40704, 40705?
40706
What is next in 1081, 4379, 9893, 17623, 27569?
39731
What is the next term in 49235, 98471, 147707, 196943?
246179
What is the next term in 362, 730, 1098, 1466, 1834?
2202
What comes next: -200, -178, -144, -98, -40, 30, 112?
206
What comes next: -1388, -1421, -1500, -1649, -1892, -2253, -2756, -3425?
-4284
What comes next: -694, -1060, -1426, -1792?
-2158
What comes next: -784, -869, -1012, -1213, -1472?
-1789
What comes next: 2720, 5442, 8164, 10886?
13608
What is next in -387, -576, -563, -348, 69, 688, 1509?
2532
What is next in 52, 248, 606, 1150, 1904, 2892, 4138, 5666?
7500
What is next in -18586, -37164, -55744, -74326?
-92910
What is the next term in -460, -1779, -3956, -6985, -10860, -15575, -21124?
-27501
What is next in -12538, -25025, -37512?
-49999
What is the next term in 211, 270, 367, 502, 675, 886?
1135
What is next in -363, -807, -1337, -1953, -2655, -3443, -4317?
-5277
What is next in 396, 365, 320, 267, 212, 161, 120, 95?
92
What is the next term in 45, 287, 779, 1593, 2801?
4475
What is next in -681, -681, -685, -693, -705, -721?
-741
What is next in -973861, -1947732, -2921615, -3895516, -4869441, -5843396, -6817387, -7791420?
-8765501
What is the next term in 47, 80, 163, 320, 575, 952, 1475, 2168?
3055
What is next in 3006, 2990, 2956, 2898, 2810, 2686, 2520?
2306
What comes next: -49429, -49437, -49445, -49453?
-49461
What comes next: 96827, 193655, 290483, 387311, 484139?
580967
What is next in -10, -80, -206, -406, -698, -1100, -163
|
{
"pile_set_name": "DM Mathematics"
}
|
What is r in -2*r**3/5 + 24*r**2 + 1226*r/5 + 1104/5 = 0?
-8, -1, 69
Find f, given that -12*f**5 - 28*f**4 + 312*f**3 + 768*f**2 - 640*f = 0.
-4, 0, 2/3, 5
Factor 35*z**2 - 375*z - 110.
5*(z - 11)*(7*z + 2)
Determine h so that -2*h**4 + 60*h**3 - 414*h**2 + 756*h = 0.
0, 3, 6, 21
Factor -p**2 + 70*p/3 + 16.
-(p - 24)*(3*p + 2)/3
Determine g so that 78*g**2/7 - 54*g - 60/7 = 0.
-2/13, 5
Factor 6650*m**3 - 3130*m**2 + 2336*m/19 - 24/19.
2*(7*m - 3)*(95*m - 2)**2/19
Factor -2*y**5 + 32*y**4 - 176*y**3 + 384*y**2 - 288*y.
-2*y*(y - 6)**2*(y - 2)**2
Solve -3*l**4 + 1362*l**3 - 166359*l**2 + 2672244*l - 11548332 = 0 for l.
9, 218
Factor 7*o**3/6 - 17*o**2/2 + 28*o/3 - 2.
(o - 6)*(o - 1)*(7*o - 2)/6
Factor 4*l**3 + 60*l**2 - 1684*l - 1740.
4*(l - 15)*(l + 1)*(l + 29)
Factor -o**5/7 - 24*o**4/7 - 66*o**3/7 - 64*o**2/7 - 3*o.
-o*(o + 1)**3*(o + 21)/7
Factor 2*q**3/13 - 22*q**2/13 - 2*q/13 + 22/13.
2*(q - 11)*(q - 1)*(q + 1)/13
Let -t**3/2 - 236*t**2 - 941*t/2 - 235 = 0. Calculate t.
-470, -1
Suppose 2*u**5/9 + 4*u**4 + 116*u**3/9 + 16*u**2/3 - 118*u/9 - 28/3 = 0. What is u?
-14, -3, -1, 1
Determine r, given that -6*r**5 + 15*r**4 - 12*r**3 + 3*r**2 = 0.
0, 1/2, 1
Suppose -3*t**4/2 - 1617*t**3 + 6477*t**2/2 - 1620*t = 0. What is t?
-1080, 0, 1
Let -36*k**5 + 674*k**4 + 212*k**3 - 422*k**2 + 76*k = 0. What is k?
-1, 0, 2/9, 1/2, 19
Factor -3*r**2/5 + 9*r.
-3*r*(r - 15)/5
Determine m, given that -3*m**2 - 1101*m - 1098 = 0.
-366, -1
Solve -3*p**5 - 12*p**4 + 156*p**3 - 240*p**2 = 0 for p.
-10, 0, 2, 4
Factor -5*c**3 + 90*c**2 + 425*c + 330.
-5*(c - 22)*(c + 1)*(c + 3)
Suppose 21*s**3/2 - 660*s**2 + 1113*s/2 + 93 = 0. Calculate s.
-1/7, 1, 62
Factor 5*s**3 - 100*s**2 + 585*s - 810.
5*(s - 9)**2*(s - 2)
Suppose 2*t**5/5 - 4*t**4/5 - 82*t**3/5 + 84*t**2/5 = 0. Calculate t.
-6, 0, 1, 7
Factor -t**3 + 21*t**2.
-t**2*(t - 21)
Find w, given that 8*w**4 - 10*w**3 - 24*w**2 + 46*w - 20 = 0.
-2, 1, 5/4
Factor 2*r**4/7 + 16*r**3/7 + 10*r**2/7 - 4*r.
2*r*(r - 1)*(r + 2)*(r + 7)/7
Suppose -k**2 + 71*k + 72 = 0. Calculate k.
-1, 72
Solve 2*x**3 + 118*x**2 - 244*x = 0 for x.
-61, 0, 2
Factor -x**4/5 + 11*x**3/5 - 9*x**2/5 - 119*x/5 - 98/5.
-(x - 7)**2*(x + 1)*(x + 2)/5
Factor -2*m**4 + 164*m**3 - 1362*m**2 + 3544*m - 2920.
-2*(m - 73)*(m - 5)*(m - 2)**2
Let 5*o**5 + 50*o**4 + 120*o**3 + 110*o**2 + 35*o = 0. Calculate o.
-7, -1, 0
Factor -2*p**2 - 46*p - 84.
-2*(p + 2)*(p + 21)
Factor 2*l**4/3 + 24*l**3 + 260*l**2 + 1352*l/3 - 4394.
2*(l - 3)*(l + 13)**3/3
Factor 14*q**2/5 - 26*q/5 + 12/5.
2*(q - 1)*(7*q - 6)/5
Factor -70*j**2 - 284*j - 16.
-2*(j + 4)*(35*j + 2)
Determine k so that 5*k**4/2 + 55*k**3/2 + 60*k**2 - 90*k = 0.
-6, 0, 1
Factor -4*m**3 - 192*m**2 + 396*m - 200.
-4*(m - 1)**2*(m + 50)
Solve o**2 - 73*o + 210 = 0 for o.
3, 70
Factor -u**2/4 + 26*u - 676.
-(u - 52)**2/4
Factor 2*k**3/3 - 18*k**2 - 126*k - 198.
2*(k - 33)*(k + 3)**2/3
Factor m**2/6 + 233*m/2 + 697/3.
(m + 2)*(m + 697)/6
Factor m**5 + 11*m**4 + 18*m**3 - 130*m**2 - 275*m + 375.
(m - 3)*(m - 1)*(m + 5)**3
Factor 2*i**2/3 - 22*i/3 - 52/3.
2*(i - 13)*(i + 2)/3
What is x in 2*x**4/13 - 32*x**3/13 + 126*x**2/13 - 184*x/13 + 88/13 = 0?
1, 2, 11
Let 6*c**2/5 - 11*c + 9/5 = 0. Calculate c.
1/6, 9
Let 5*b**3 - 80*b**2 + 260*b - 240 = 0. Calculate b.
2, 12
Factor 2*g**3 - 531*g**2 - 267*g + 266.
(g - 266)*(g + 1)*(2*g - 1)
Factor -u**3/8 + 5*u**2/8 - 7*u/8 + 3/8.
-(u - 3)*(u - 1)**2/8
Let -h**5/7 + 20*h**4/7 + 12*h**3/7 - 160*h**2 - 448*h = 0. What is h?
-4, 0, 14
Solve 76*o**3 - 60*o**2 - 136*o = 0 for o.
-1, 0, 34/19
Solve 5*x**2 - 1610*x + 6360 = 0 for x.
4, 318
Factor 19*f**4 + 880*f**3 + 10327*f**2 + 3174*f.
f*(f + 23)**2*(19*f + 6)
Solve 3*j**5/2 + 93*j**4/2 + 933*j**3/2 + 2931*j**2/2 - 468*j - 1512 = 0 for j.
-12, -7, -1, 1
Solve k**3/4 - 577*k**2/2 = 0 for k.
0, 1154
Solve 3*o**5/5 + 3*o**4/5 - 1527*o**3/5 - 14703*o**2/5 - 2028*o + 26364/5 = 0 for o.
-13, -2, 1, 26
Factor 4*m**4 + 8*m**3 - 20*m**2 - 24*m.
4*m*(m - 2)*(m + 1)*(m + 3)
Find c such that 5*c**2 - 240*c - 245 = 0.
-1, 49
Suppose v**4/5 - 2*v**2 + 9/5 = 0. Calculate v.
-3, -1, 1, 3
Find z such that -94559612*z**3/5 + 988428*z**2/5 - 3444*z/5 + 4/5 = 0.
1/287
Factor -a**3/8 + 33*a**2/4 - 129*a/8 + 8.
-(a - 64)*(a - 1)**2/8
What is a in -3*a**2 + 213*a - 612 = 0?
3, 68
What is y in -y**3/6 - 7*y**2/3 + 31*y/6 - 8/3 = 0?
-16, 1
Factor t**2/3 - 16*t - 100/3.
(t - 50)*(t + 2)/3
Factor 2*p**2/5 + 4*p/5 - 6/5.
2*(p - 1)*(p + 3)/5
Factor -4*a**3 - 2516*a**2 - 389276*a + 2009780.
-4*(a - 5)*(a + 317)**2
Factor 2*l**3/11 - 48*l**2/11.
2*l**2*(l - 24)/11
Suppose 16*o**5 + 132*o**4 + 134*o**3 - 50*o**2 - 54*o + 14 = 0. Calculate o.
-7, -1, 1/4, 1/2
Let c**4/8 + c**3/8 - 33*c**2/8 + 59*c/8 - 7/2 = 0. Calculate c.
-7, 1, 4
Let -3*z**2/2 - 105*z - 204 = 0. Calculate z.
-68, -2
Factor -i**2/5 - 4862*i/5 - 5909761/5.
-(i + 2431)**2/5
Let 35*j**5 - 235*j**4 - 350*j**3 + 3700*j**2 - 3960*j - 1440 = 0. What is j?
-4, -2/7, 2, 3, 6
Find l, given that l**5/7 - 153*l**4/7 - 90*l**3 + 302*l**2/7 + 1893*l/7 - 1413/7 = 0.
-3, 1, 157
Find r, given that r**5/2 + 5*r**4/6 - 25*r**3/6 + 5*r**2/2 + 5*r/3 - 4/3 = 0.
-4, -2/3, 1
Determine i, given that i**4 + 4*i**3 + 5*i**2 + 2*i = 0.
-2, -1, 0
Suppose h**3/7 + 50*h**2/7 - 212*h/7 + 216/7 = 0. Calculate h.
-54, 2
Find t, given that t**3/10 + 7*t**2/10 + t = 0.
-5, -2, 0
Factor -3*l**2 - 171*l - 330.
-3*(l + 2)*(l + 55)
Let -5*q**2 + 30*q - 40 = 0. What is q?
2, 4
Factor 4*p**4 + 64*p**3 + 248*p**2 + 320*p + 132.
4*(p + 1)**2*(p + 3)*(p + 11)
Find n, given that -n**3/2 + 37*n**2/2 - 231*n/2 - 2205/2 = 0.
-5, 21
Factor -z**3/2 - 90*z**2.
-z**2*(z + 180)/2
Factor j**4/2 + 7*j**3/2 - 3*j**2/2 - 23*j/2 - 7.
(j - 2)*(j + 1)**2*(j + 7)/2
Find z, given that z**2/6 - 7*z/3 + 13/6 = 0.
1, 13
Factor -8*v**5 + 100*v**4 + 103*v**3/2 + 13*v**2/2.
-v**2*(v - 13)*(4*v + 1)**2/2
Determine a so that -3*a**5 + 521*a**4 - 22005*a**3 - 53329*a**2 - 38544*a - 7744 = 0.
-1, -1/3, 88
Determine c, given that c**2 - 104*c - 212 = 0.
-2, 106
Factor -c**4 - 1293*c**3.
-c**3*(c + 1293)
Solve -3*a**3 - 6570*a**2 - 3603636*a - 7181016 = 0.
-1094, -2
Factor 3*j**2 - 120*j - 252.
3*(j - 42)*(j + 2)
Factor 3*a**3/8 + 45*a**2/8.
3*a**2*(a + 15)/8
Solve 3*z**2 + 36*z + 60 = 0 for z.
-10, -2
Suppose 6*g**5 + 23*g**4 + 71*g**3/3 + 4*g**2/3 - 4*g = 0. Calculate g.
-2, -3/2, -2/3, 0, 1/3
Factor -44*z**3/3 - 56*z**2 + 32*z/3.
-4*z*(z + 4)*(11*z - 2)/3
Factor 2*g**2/3 + 4*g.
2*g*(g + 6)/3
Determine a, given that -3*a**4/8 - 4827*a**3/8 - 323811*a**2 - 58069704*a - 57746496 = 0.
-536, -1
Suppose 5*a**4 + 965*a**3 - 4910*a**2 + 7900*a - 3960 = 0. What is a?
-198, 1, 2
Factor p**5/5 - 6*p**4/5 - 7*p**3/5.
p**3*(p - 7)*(p + 1)/5
Factor 3*x**4 + 12*x**3 - 63*x**2.
3*x**2*(x - 3)*(x + 7)
Suppose 50*j**3 - 3910*j**2 - 3152*j - 632 = 0. Calculate j.
-2/5, 79
Solve 3*g**4/8 + 531*g**3/8 = 0 for g.
-177, 0
What is y in 3*y**5 - 18*y**4 + 12*y**3 + 18*y**2 - 15*y = 0?
-1, 0, 1, 5
Find g such that g**4 + 28*g**3 + 278*g**2 + 1148*g + 1617 = 0.
-11, -7, -3
Let -3*h**3/5 - 6*h**2/5 + 9*h/5 = 0. Calculate h.
-3, 0, 1
Determine j so that -5*j**2 - 60*j - 175 = 0.
-7, -5
Solve -n**2 + 522*n - 68121 = 0.
261
Solve -j**3/7 - j**2/7 + 4*j/7 + 4/7 = 0 for j.
-2, -1, 2
Suppose -2*g**4 - 10*g**3 - 16*g**2 - 8*g = 0. What is g?
-2, -1, 0
Solve 4*w**5 - 72*w**4 + 240*w**3 + 800*w**2 = 0.
-2, 0, 10
Factor -2*i**5/5 - 16*i**4 - 78*i**3/5.
-2*i**3*(i + 1)*(i + 39)/5
Factor -2*u**2 - 18*u + 20.
-2*(u - 1)*(u + 10)
Let -m**4/3 + 97*m**3/3 + 100*m**2/3 - 196*m/3 = 0. What is m?
-2, 0, 1, 98
Factor 5*w**4 + 75*w**3 - 80*w**2.
5*w**2*(w - 1)*(w + 16)
Factor 963*u**2/4 + 1686*u + 21/4.
3*(u + 7)*(321*u + 1)/4
Factor -3*x**3 + 237*x**2 - 4560*x - 4800.
-3*(x - 40)**2*(x + 1)
Let -m**5/2 + 16*m**4 - 109*m**3 - 340*m**2 + 867*m/2 = 0. Calculate m.
-3, 0, 1, 17
Solve -2*y**5/5 - 14*y**4/5 - 18*y**3/5 + 38*y**2/5 + 44*y/5 - 48/5 = 0 for y.
-4, -3, -2, 1
Factor -2*n**5/9 - 2*n**4/3 - 2*n**3/3 - 2*n**2/9.
-2*n**2*(n + 1)**3/9
Let 5*v**5 + 185*v**4 + 2550*v**3 + 15500*v**2 + 35000*v = 0. What is v?
-10, -7, 0
Factor -2*w**5 - 104*w**4 - 1928*w**3 - 14720*w**2 - 38912*w - 32768.
-2*(w + 2)**2*(w + 16)**3
Determine n so that n**3 + 6*n**2 + 8*n = 0.
-4, -2, 0
Solve 5*i**5 + 65*i**4 + 155*i**3 + 35*i*
|
{
"pile_set_name": "DM Mathematics"
}
|
scending order.
-18, n, s
Let u = 1070.88 - 1114. Let r = u - -38. Let p = r - -0.12. Sort p, 1, -0.5 in ascending order.
p, -0.5, 1
Let w = 2.034 - 0.114. Let j = w + -0.92. Sort j, -9, -2 in ascending order.
-9, -2, j
Let x = -2 - -3. Let h be (-3)/x*6/30. Let a = -14.4 - -14. Put h, a, -3/7 in descending order.
a, -3/7, h
Suppose 11 = -6*p + 71. Sort 4, -2, 1, p in ascending order.
-2, 1, 4, p
Suppose -1937 = 16*s - 289. Let x = s - -106. Sort 2, -5, x in descending order.
x, 2, -5
Let t = -4 - -4. Let p be 3 + -2 + 2 + t. Suppose u = -2*u - p*c + 6, 0 = -2*c. Put u, -5, 1 in increasing order.
-5, 1, u
Let g = 202 + -205. Sort -5, 3, g in decreasing order.
3, g, -5
Suppose 225*k - 48 = 241*k. Let b be (-1)/(-1) + (-6)/4. Sort b, 1/4, k in ascending order.
k, b, 1/4
Let u = 0 - -3. Suppose 3*b = u + 3. Let o(h) = -h**2 + h + 2. Let q be o(b). Sort -4, q, 2 in descending order.
2, q, -4
Let y be (1/2)/(1/10). Suppose 6*k + 9 = 9*k. Suppose -8*x - 5 = -k*x. Sort y, x, -5.
-5, x, y
Let h = -830 + 779.31. Let r = h + 51. Let l = 0.09 + r. Sort 4, l, -0.1 in increasing order.
-0.1, l, 4
Suppose 5*c + 91*q = 92*q - 214, 2*c + 64 = -5*q. Sort 5, c, 1.
c, 1, 5
Let b = -22.2 - -27.2. Sort b, 4/17, 2/5 in decreasing order.
b, 2/5, 4/17
Let a(m) = m**3 - 22*m**2 + 38*m + 42. Let q be a(20). Sort -30, q, 5.
-30, q, 5
Let u(c) = -7*c**2 - 3*c + 2. Let k(f) = f**2 - 1. Let d(n) = -4*k(n) - u(n). Let s be d(-1). Sort 4, -5, s, -3 in descending order.
4, s, -3, -5
Let b = 0.202 + 0.098. Put b, -1/13, -3/2, -0.2 in increasing order.
-3/2, -0.2, -1/13, b
Let s = 5288 + -5526.1. Let v = s + 228. Let f = -10 - v. Sort f, 4, -1/6 in increasing order.
-1/6, f, 4
Let w = 1.99 + 0.01. Suppose -6*c + 54 = -0*c. Let g be 12/c*(-3)/(-18). Sort 4, g, w in increasing order.
g, w, 4
Let w be (0 - 4/(-6))*-3. Suppose -15 = -4*o - 7. Let u = -57 - -56. Put u, w, o in ascending order.
w, u, o
Let h = 12 - 8.5. Let p = 4 - h. Let a(b) = -b**3 + 36*b**2 - 9. Let m be a(36). Sort 4, p, m in ascending order.
m, p, 4
Let k = -0.4 + 0.46. Put -2, 1, k in descending order.
1, k, -2
Let n be (-17)/(-42) - (-3)/(21/(-4)). Sort 1/2, n, 8, -3/2 in increasing order.
-3/2, n, 1/2, 8
Suppose -3*y + 3*t - 1 - 11 = 0, 0 = 3*y + t. Put -3/2, -5, 5, y in decreasing order.
5, y, -3/2, -5
Let s be (-1 + 4)*40/(-72)*3. Sort s, 1, -1, 2 in increasing order.
s, -1, 1, 2
Let p = 41/24 + -13/8. Let h = 403/1020 - -1/204. Sort h, -16, p in descending order.
h, p, -16
Let d be ((-44)/(-14))/(-11 + 546/49). Put d, -5, -2 in decreasing order.
d, -2, -5
Let w be (3 + 32/(-11))*(-1 + 2). Put w, 0.4, -2/9, -0.5 in ascending order.
-0.5, -2/9, w, 0.4
Let k = 1.1 + -1. Suppose -3*s = 3*n + 2*s - 114, 3*s = -9. Let c = -133/3 + n. Put -2, k, c in descending order.
k, c, -2
Let l = 971 - 967. Sort -4, 2, 0, l in descending order.
l, 2, 0, -4
Suppose -41*j + 64 + 18 = 0. Let m be (-24)/(-14) + (-4)/(-14). Let n be (0/m - 1) + 2. Sort j, n, 0.
0, n, j
Let o = -15.2 + 19.2. Sort 23/6, -9, -1, o.
-9, -1, 23/6, o
Let p = -1/40 + -77/120. Let g = -322 + 201. Let z = g + 117. Put 4, p, z in descending order.
4, p, z
Let l(a) = 409*a - 401*a + a**2 + 14 + 4. Let b be l(-6). Sort 0, b, -1 in descending order.
b, 0, -1
Let n be 2/((-16)/36 + 213/54). Let j = -3 - -35/11. Put n, -4/5, 0.1, j in ascending order.
-4/5, 0.1, j, n
Let j = 191 - 195. Put -3, 3, j in descending order.
3, -3, j
Let r(p) = -p**3 - 3*p**2 + 6*p + 3. Let t be r(-4). Sort 2, -11, t, -4 in ascending order.
-11, t, -4, 2
Let t be (-2)/20 + (-5 - 2358/20). Put -1/5, t, 1 in ascending order.
t, -1/5, 1
Let p = -1884 - -1883. Put 6, -7, p in increasing order.
-7, p, 6
Let b(c) = -8*c**2 - 9*c - 3. Let k be b(3). Let y be (-2 + k/(-52))*(-12)/(-39). Sort 2, y, 0.2 in decreasing order.
2, 0.2, y
Let f be 2628/54 + 2/6. Sort f, 1, -1, 5 in descending order.
f, 5, 1, -1
Let m be 7/4*(14 + -16). Let l = 4 + m. Let t be ((-4)/(-6) + -1)*-3. Sort 2/13, t, l in increasing order.
2/13, l, t
Let k = 3 - 1. Let o = 5.2 - 1.2. Let r be (3 - 5) + 13/6. Put k, r, o in decreasing order.
o, k, r
Let j(z) = -3*z + 41. Let h be j(13). Suppose 4*g - 5*p = -g - 15, h*p = -g. Put g, 5, 3 in ascending order.
g, 3, 5
Suppose 2*y + 0 - 4 = 0. Suppose -2*b = -b + y. Let v = -402 - -405. Put b, -4, v in increasing order.
-4, b, v
Let g be (-14 - -15)*(-1)/43*2. Let s = -29/301 + g. Sort -5, -3, s in descending order.
s, -3, -5
Let o = -0.284 + 0.034. Let l = o + -0.75. Sort l, -17, -3/4.
-17, l, -3/4
Let w = 539 + -401. Sort 0.5, 5, w in descending order.
w, 5, 0.5
Suppose 4 = -2*i - 2*q, 0*i + 2*i = -4*q - 12. Sort -0.15, 0.4, i.
-0.15, 0.4, i
Let q = -16956/301 + 394/7. Sort q, 0.4, 5 in descending order.
5, 0.4, q
Let x = -6.98 + 5.98. Put 0, x, 1, 0.02 in increasing order.
x, 0, 0.02, 1
Suppose 5*h + 27 = -23. Let r be (6 - 7)/((-2)/h). Let q be (5/4)/(8/32). Put 1, q, r in increasing order.
r, 1, q
Let h(q) = q**2 + 6*q - 11. Let g be h(-7). Sort g, 4, -1, -2 in descending order.
4, -1, -2, g
Let h = -1.96 + 2. Let y = 0.36 + h. Let s = -91.7 + 92. Put y, 1/4, s in descending order.
y, s, 1/4
Let f be 76/16 + (-1)/(-4). Suppose -f*i = -21 + 6. Let o = 643 + -647. Sort o, i, 1.
o, 1, i
Suppose 0 = 25*f + 5*f + 60. Let j = 3 + -2.9. Let m be (-2)/(-8) + (-3)/6. Put j, f, m in descending order.
j, m, f
Suppose 86 = -12*p + 14. Sort 12, -2, 1, p in decreasing order.
12, 1, -2, p
Let q be (0 - -4) + (-1 - -2). Let x = -14 - -10. Let f be 2 + -4*x/16. Sort -3, q, f in decreasing order.
q, f, -3
Let c be 3*3/((-1377)/(-6)). Let i = -0.989 - -3.989. Sort i, -1, c in ascending order.
-1, c, i
Suppose 9*d = 42*d - 132. Put 6, -15, d in descending order.
6, d, -15
Let a = 230.2 + -230. Put a, 0.9, 2/17 in decreasing order.
0.9, a, 2/17
Let l(y) = -y**3 - 3*y**2 - 9*y + 16. Let c be l(-6). Let n = c - 178. Let i = -2 + 5. Sort i, n, 1.
n, 1, i
Let t = 1640/13 - 126. Let d = 1.2 + -0.9. Sort d, 2/7, t in ascending order.
t, 2/7, d
Let i be 2 + ((-24)/10 - (-22)/22). Let n be 5/(-4)*(2 + 2). Let v(j) = -j - 1. Let t be v(n). Sort t, 0, i.
0, i, t
Let i = 59 + -61. Sort -107, i, 2 in ascending order.
-107, i, 2
Let s = -1.38 - -0.98. Let a = -58 - -752/13. Put s, 1.2, a in ascending order.
s, a, 1.2
Let w = 518 + -358. Let r = w + -137.1. Let g = -23 + r. Sort -4, 1, g in increasing order.
-4, g, 1
Let o = -2020 - -2016. Put 2/9, 1/7, o in ascending order.
o, 1/7, 2/9
Let l = -25 + 7. Let x be 4/5 - l/40. Let r = -2 + 3/2. Put x, 0, r in increasing order.
r, 0, x
Let f = 46 - 44. Suppose -f*a - 11 = -g - 1, -a - 8 = -2*g. Sort a, 0, 1, -1 in descending order.
1, 0, -1, a
Suppose -6*g = -2*g - 60. Let d be g/30 - (-1)/(-2). Let v = -8 + 17. Put d, 5, v in increasing order.
d, 5, v
Let l = 41 - 39. Let s = 42 - 41. Sort 0.1, l, s, 1/6 in descending order.
l, s, 1/6, 0.1
Let q be 1*-2*(-88)/16. Let k = 15 - q. Let h(s) = s - 14. Let t be h(12). Put 5, t, k in descending order.
5, k, t
Suppose -2*y = 17 - 15. Put -4, -13, 2, y in decreasing order.
2, y, -4, -13
Suppose 0*u + p = -4*u - 25, -4*u + 4*p = 0. Let v = -31 + 35. Suppose 5 + 0 = 5*b - 5*a, -3*b + v*a = -1. Sort b, 2, u in descending order.
b, 2, u
Let z be (10 + 0 + 2)*(-3)/(-2). Suppose u - 23 = -z. Put 3/5, 0.3, 1, u in ascending order.
0.3, 3/5, 1, u
Suppose 22 = 2*w - 5*h, h + 2*h + 6 = 0. Let d be ((-4)/10)/(3/(-90)). Suppose -9 = 3*s - d. Put -4, w, s in ascending order.
-4, s, w
Let h(o) = -o**2 + 34*o - 260. Let k be h(12). Put -1, 1, k in descending order.
k, 1, -1
Suppose -2*h = 3*s - 0*s - 159, -s = -4*h + 353. Let l be 1 - (2 + h/(-60)). Let j = l - -3/10. Put 4, 2, j in decreasing order.
4, 2, j
Let y(k) = -2*k**3 + 6*k**2 + 8*k. Let u be y(4). Sort -3/8, 3/7, 0.2, u in descending order.
3/7, 0.2, u, -3/8
Let p = -0.15 - -0.04. Let j = -9.89 + p. Let r = -8 - j. Put r, -4, -1 in decreasing order.
r, -1, -4
Let m be ((-2)/(-24))/(4*(-156)/(-32)). Let n = -199/8190 - m. Put n, 3, 0.3, -2/7 in increasing order.
-2/7, n, 0.3, 3
Let j be 15/(-160)*2/(-3). Let h = 0.0903 + 4.9097. Sort -2/3, h, j in descending order.
h, j, -2/3
Let h = 14.6 - 17. Let l = h + -7.6. Let o = l - -8. Put -3, o, 4 in decreasing order.
4, o, -3
Suppose -2*k - 5*k - 84 = 0. Let n = 11 + k. Sort 1, 3, n.
n, 1, 3
Let a be (-1 - 22/(-4))/((-31)/5
|
{
"pile_set_name": "DM Mathematics"
}
|
/7
Let u = -0.09 - 1.91. Let c = 2/7 + -20/21. Let s = -0.6 + 3.6. What is the closest to c in 5, u, s?
u
Let s be 0 - 1 - (-117)/123. Let a = s - 37/82. What is the nearest to a in -1, -0.2, 2?
-0.2
Let w = 2.6 - 3. Let q = -4.07 - -0.07. Let k = -3.6 - q. Which is the closest to -1? (a) k (b) w (c) 1
b
Let t = 5 - 4. Let p = 0.05 + -0.1. Let x = -0.35 + p. What is the nearest to t in x, 1/3, -0.2?
1/3
Let k = 34 - 38. Which is the closest to 3.8? (a) 1 (b) k (c) -1
a
Let j = -6 + 8. Suppose -j*z = -z - 1. Which is the nearest to z? (a) -0.4 (b) -1 (c) 2
c
Let p = 2.8 + -2.7. Let l = -12 - -7. What is the closest to p in 0.1, 1, l?
0.1
Let d = 4.6 + -5. Let x(o) = o**3 - 7*o**2 + 6*o - 2. Let q be x(6). Suppose -s - 1 = -5. Which is the closest to q? (a) s (b) -2/9 (c) d
c
Suppose 0*q - 2*q = -6. Suppose -q*f + 0*f = -21. Let x be -1 + -2 + 1 + f. What is the closest to 1/4 in -0.5, x, 0.4?
0.4
Let x be (2/(-25))/((-1)/(-5)). Let f be ((-2)/(-7))/((-8)/(-7)). Let n = -0.1 - 0.4. Which is the nearest to f? (a) 4 (b) n (c) x
c
Let p = 4 + -4. Let v = 5 - 0. Suppose 2*g - t + 4 = v, 0 = -4*g - 5*t - 5. What is the closest to g in p, 2, 5?
p
Let y = -42 - -37.8. Let u = 11 + -15. Let n = y - u. Which is the nearest to -0.1? (a) 4 (b) n (c) 2
b
Let w = 0.37 + 0.03. Let t = -0.6 + 0.1. Let s = -0.5 + t. What is the nearest to s in 0.1, w, -4?
0.1
Let y = -0.3 + 0.4. Let g = y - -0.9. Let z = 0.08 - -0.92. What is the nearest to g in 0, 5, z?
z
Let c = 2.3 - 1.3. What is the nearest to c in -0.1, 0.2, -2?
0.2
Suppose -4*a + 20 = 0, 0*a = -u - 2*a + 25. Suppose u + 10 = 5*f. Let s = -0.05 + 2.05. What is the nearest to 0.1 in f, 3, s?
s
Let b be 4/(-14) + (-96)/56. Let a be (b/15)/(2/(-3)). What is the nearest to a in -0.2, 2/13, -4?
2/13
Let t be (-14)/8 - (-3 - -1). Let f = 4 - 4. What is the nearest to -2 in -1/6, f, t?
-1/6
Let q be 6/(-8)*6/(-45). What is the closest to -2/7 in 0, q, 4?
0
Let w = 763/604 - 2/151. Let f = w - 3/4. Which is the closest to f? (a) -4 (b) 0.5 (c) 1/10
b
Let c = -148/3 - -49. What is the nearest to c in 0.5, 0.3, 2?
0.3
Let x = 1.92 - -21.18. Let n = x + -23. Which is the closest to n? (a) 1/5 (b) 0.3 (c) 1
a
Let v = -7 + 10. Let d = -32.7 - -34. Let a = d - 0.3. What is the closest to a in 0, v, -5?
0
Let v = 71/28 + -16/7. Which is the nearest to v? (a) 1 (b) -4/7 (c) -1
a
Let z = -7 - -2. Let v = z - 2. Let h = 7 + v. What is the nearest to h in 3/2, -2, 2/5?
2/5
Let l = -12 + 11. Which is the nearest to l? (a) 1 (b) 0 (c) -10
b
Let p = 0.9 - 1. Let x = p + 0.1. Which is the closest to x? (a) -1/3 (b) 2/9 (c) -1
b
Let g = -4 + 6. Let t = -66.6 + 67. Which is the nearest to g? (a) 5 (b) 1 (c) t
b
Let q(s) = -2*s - 2. Let m be q(-4). Let i be (-18)/10 - m/(-3). Let n = -4 - -6. What is the nearest to n in i, 2, 0.1?
2
Let b = -18 + 17.6. Let u = -0.08 + 0.1. Let i = u + 2.98. What is the closest to 2 in -0.5, i, b?
i
Let y = 0.35 - 0.05. Let p = 58 + -55. Let k = 0.4 - 0.1. Which is the nearest to y? (a) -5 (b) k (c) p
b
Let n be (-36)/(-21) - (5 + -3). What is the nearest to n in -6, -1/5, 0.2?
-1/5
Let t = 122 + -121.9. What is the nearest to 0 in t, -0.22, -5?
t
Let y = -4 - 5. Let m = -13 - y. Let f = -5 - -8. Which is the closest to 0? (a) f (b) 2/3 (c) m
b
Let x = -1.33 + 1.33. Let i = 13 + -51/4. Let s = -7 - -11. What is the nearest to x in i, s, 0.4?
i
Suppose -2*k = -3*k - 1. Let l(g) = g**3 + 3*g**2 + g + 1. Let u be l(-3). Which is the nearest to -0.1? (a) u (b) -2/3 (c) k
b
Let s = -0.03 - 1.97. What is the closest to 1 in 0, s, 2/15?
2/15
Let h = -0.01 + 1.01. Let z = h + -1. What is the nearest to z in 2, 5, 4?
2
Let i be 3/(-3) - 2537/13. Let x = 196 + i. What is the nearest to -1 in x, -0.2, -1/3?
-1/3
Let j = -0.2 + 0.7. Which is the nearest to -5/4? (a) j (b) -4 (c) 1
a
Let q = -8.8 - -1.8. Let o = 6.4 + q. Let j = -3.6 - o. Which is the nearest to -2/7? (a) j (b) 5/4 (c) 4/3
b
Let o = 0.5 + -0.5. Which is the closest to -2/5? (a) o (b) -0.2 (c) -3
b
Let k(d) = d**3 - 2*d**2 - 7*d + 1. Let i be k(5). Let o be i/63 + 4/(-18). What is the nearest to 0.2 in o, 0.1, -1?
0.1
Let z = 1.9 - 9.9. Let l = -7.5 - z. Suppose -4*j - 2*x = -4*x + 12, 0 = 3*x + 12. What is the closest to -0.1 in j, l, -0.2?
-0.2
Let z = -5 - -2. Let p be 3/(6/(-4))*-1. Let d = -0.9 + 0.7. What is the nearest to p in -0.3, z, d?
d
Let w = 532/45 + -58/5. Let x = -0.7 + -0.3. Let d = -245/44 + 75/11. Which is the closest to x? (a) w (b) -1/6 (c) d
b
Let i = 0.2 + -1.2. Let v = -1.8 - -2.4. Let x = v + i. Which is the closest to -1? (a) -1/2 (b) x (c) -2/3
c
Let q = 5 + -9. Let f = -0.31 + -1.59. Let s = 0.9 + f. What is the nearest to s in 5, -3, q?
-3
Let s be 8/6 - 8/360*78. Which is the nearest to 1? (a) 3 (b) 15 (c) s
c
Let d = -37 + 36. Let s be (-9)/(-15) - (0 + 1). Which is the nearest to s? (a) d (b) 0.3 (c) -2
a
Let b be -9*33/(3 - 6). Let z be (-4)/b - 2/(-9). What is the closest to -1 in -4, z, -5?
z
Let q be 1 + (5/(-6) - 0). Let n = 302/51 + -112/17. What is the closest to n in -4, q, 0.2?
q
Let m = 5 + -3.3. Let v = m + 0.3. Which is the closest to v? (a) 0.2 (b) 2 (c) 1/4
b
Suppose -3 - 5 = 4*m. Let d be (m/(-6))/(2/18). What is the closest to -2/5 in d, 3/4, -3?
3/4
Suppose 7 = -3*n + 16. Which is the closest to -3/4? (a) 3/7 (b) 0.3 (c) n
b
Let u = 137 - 143.3. Let l = u - -7. Let g = 0.6 - l. Which is the nearest to -0.1? (a) -2 (b) g (c) -3
b
Let d be (9/(-90))/((-2)/5). What is the closest to -2 in d, 4/3, -2?
-2
Let y = 0.12 + -5.12. Let q = 0.224 + -0.024. What is the nearest to q in y, 1/2, 2?
1/2
Let t = 0.8 + -0.6. Let w = t - 0.2. Let s = 1 + -0.7. Which is the nearest to w? (a) 0.5 (b) s (c) -0.4
b
Let c(s) = s**2 - 1. Let d be c(-1). Let u = 1.037 + -0.037. What is the closest to -0.1 in d, 4, u?
d
Let c = -0.6 + 1. Let m = c + -5.4. Let r = -0.1 + 1.1. What is the closest to r in 1/3, m, 3?
1/3
Let p(y) be the third derivative of -y**6/120 + y**4/24 + 3*y**2. Let d be p(1). Suppose d*h - 4 = -4*h. What is the nearest to h in -0.5, 0.1, 2?
0.1
Let m = -10.3 + 10.5. Which is the closest to 1/8? (a) m (b) 2 (c) 2/25
c
Let n(f) = 42*f**3 + 1. Let a be n(-1). Let s = -202/5 - a. What is the closest to 0.1 in s, -3, -4/7?
s
Let i = -2.4 - -2.3. Let v = 15.9 + -12. Let f = 4 - v. Which is the nearest to i? (a) f (b) 3 (c) 1/3
a
Suppose 8 = -v + 21. Let m be 14/(-49) - v/(-21). Which is the closest to -0.1? (a) m (b) 0.5 (c) -1
a
Let k = -3 - -2.9. Let j = 0.7 + -0.4. Let i = k - j. Which is the closest to 0.1? (a) -1 (b) i (c) 2/7
c
Let v(u) = -u**3 + 6*u**2 + 7*u + 10. Let a be v(7). Let p be (a/(-25))/((-26)/10). What is the nearest to 0 in -0.3, p, -3?
p
Let q = 0.4 - 0.3. Which is the closest to q? (a) -2/5 (b) -0.01 (c) 1
b
Let p be 3 + -2 + 10/14 + -2. Which is the closest to p? (a) -2 (b) 0.5 (c) -25
b
Let c be 5 + (0 - 85/20). What is the nearest to -9 in 4, c, -2/13?
-2/13
Let t be -1 - (0 + 1 + 1). Let l = -3.2 - 0.8. Let s = -61 - -61.3. What is the nearest to 0.1 in l, t, s?
s
Let y = -14 - -14. What is the closest to -2 in y, -0.1, 2/9?
-0.1
Let l = 6 + -8. Let o be -1 - 0/(4/l). Which is the closest to -1? (a) -3/2 (b) o (c) -3/4
b
Suppose 0 = -g - 3 - 0. Let n = -0.8 - -1. Let r = 38.5 + -38.4. What is the nearest to r in n, -2, g?
n
Let r = -0.09 + -0.01. Which is the nearest to -0.1? (a) 2 (b) r (c) -1
b
Suppose 10 = -5*s - 2*y, 2*s - s - y + 2 = 0. Which is the nearest to 15? (a) -2/11 (b) 4 (c) s
b
Let t be (-6)/(6/10 - 1). Let n be 5/t*(-4)/(-3). What is the nearest to -1/2 in 2, 0.3, n?
0.3
Let o = 0.3 + 1.7. Let w be (-3)/6 - 2/12. Which is the nearest to w? (a) o (b) -6 (c) -3
c
Let o = 3 + -2.8. Let q = 15.6 + 0.4. Let w = q - 13. Which is the closest to 1? (a) w (b) -5 (c) o
c
Suppose -9*g - 12 = -m - 13*g, 3*m + 4*g = 12. Let f = 0.2 - 0.2. What is the closest to m in -2/13, -1/8, f?
f
Let s = 0.4 + -5.4. Let l = 1.8 + 6.2. Let x = s + l. Which is the nearest to 1? (a) x (b) 4/7 (c) -0.4
b
Suppose -4*v - 24 = 5*d, -3*v - 1 - 2 = 0. What is the nearest to 1 in d, 2/3, -2?
2/3
Let t = 17 - 38. Let m = t - -187/9. Let b = -0.28 + 0.08. What is the closest to -2 in b, -0
|
{
"pile_set_name": "DM Mathematics"
}
|
gest value? (a) -1 (b) -1/2 (c) 2/17 (d) -30923
a
What is the third smallest value in -97338, 2, 41?
41
Which is the biggest value? (a) 196 (b) 9614 (c) 4
b
Which is the fourth smallest value? (a) 55 (b) 140 (c) 39 (d) -2/13
b
What is the smallest value in -0.005, 2, -2/11, -0.4, 0.4, 57/4?
-0.4
What is the sixth biggest value in -5/2, 2579/4, 5, 3/2, -3, 1, -5?
-3
What is the fourth biggest value in -0.23, -3, 1/4, -149813?
-149813
What is the sixth smallest value in -718, 3/52, -1, 1/4, 2, -3?
2
Which is the smallest value? (a) -4.9 (b) 1/2 (c) 409 (d) 5/6 (e) -6
e
What is the second biggest value in -68244, 2/79, -1/5, 1, 4, -0.1?
1
Which is the fifth biggest value? (a) 0.2 (b) 27 (c) 132 (d) -0.5 (e) -4
e
Which is the fifth smallest value? (a) -4 (b) 62.12 (c) -5 (d) -0.15 (e) -3 (f) 2/11 (g) -2/5
d
What is the biggest value in -46, -1, -0.34, 7, -16/205?
7
Which is the second biggest value? (a) -0.05 (b) 5 (c) -1/759 (d) -3
c
What is the fourth biggest value in -4, 15.46, 9, 4/183, -2/11, -0.1?
-0.1
Which is the third biggest value? (a) 96553 (b) 4 (c) -4/7 (d) 0.4 (e) 1/7
d
What is the fourth smallest value in -6, -4, 2/7, -1, 3, 2, 43?
2/7
What is the second biggest value in -70, 2800/3, 13?
13
What is the sixth biggest value in -2, 0.5, -4352, -1, -4, 69?
-4352
Which is the third biggest value? (a) 5 (b) -0.3 (c) 68 (d) 21 (e) -0.2 (f) 0.14 (g) -2/17
a
What is the second smallest value in -0.02, -4, 4, 5, 0.4, -20883?
-4
Which is the third biggest value? (a) 90/37417 (b) -4 (c) -1/9 (d) 1
c
What is the fifth smallest value in -2/9, 5, -0.22, 28, 1/3?
28
Which is the biggest value? (a) 0.37 (b) -10.455 (c) -0.3
a
Which is the fourth biggest value? (a) 25733/12 (b) -3 (c) -0.3 (d) -4
d
Which is the sixth smallest value? (a) -41 (b) 1 (c) -1656 (d) -1/7 (e) -4 (f) 1/6
b
Which is the biggest value? (a) -3 (b) -5 (c) 3 (d) -0.5 (e) 0.4 (f) -13 (g) -64/5
c
Which is the seventh biggest value? (a) -160 (b) -1 (c) -15 (d) 0.57 (e) 4 (f) -2 (g) -1/2
a
Which is the third smallest value? (a) -559 (b) -0.05 (c) -1.2 (d) -2
c
Which is the second smallest value? (a) 7835 (b) 0.1 (c) -0.02 (d) -1
c
What is the third biggest value in 12389/4, 2, -51?
-51
Which is the biggest value? (a) 705633 (b) -1.7 (c) 1/11
a
What is the smallest value in 7, 0.0463, -2, -2/11, -0.5, 0.027, 5?
-2
Which is the sixth biggest value? (a) -58 (b) -47 (c) 31 (d) -73 (e) 0.4 (f) -2/15
d
What is the second smallest value in -23.1, -0.4, -5613?
-23.1
What is the third smallest value in -24226, 0.007, 5?
5
Which is the third smallest value? (a) 57 (b) 14 (c) 0.1 (d) -9 (e) -0.037
c
Which is the third biggest value? (a) 3/2 (b) 1/4 (c) -1/4 (d) -26/15 (e) 0.049 (f) 0.4
b
What is the seventh smallest value in -26, -0.1, 0.02, 0.2, 3, 0, 145?
145
What is the third biggest value in 2/7, 1/1854, -0.29, 3?
1/1854
What is the fifth biggest value in -0.4, 6, -1/3, -4, 3/2, -5019?
-4
What is the second smallest value in -531/5, -16, 2, -4, 3/7?
-16
Which is the fourth smallest value? (a) -0.3 (b) 1 (c) 178 (d) 4/9 (e) 73 (f) -1 (g) -4
d
What is the biggest value in -993, -0.203, 2, 1.05?
2
What is the second biggest value in 6, 3, -173, 258?
6
Which is the biggest value? (a) 138 (b) -2 (c) 1209 (d) -1/2 (e) -3
c
Which is the fourth biggest value? (a) 3/5 (b) 1/4 (c) 9/2 (d) 3184 (e) 204
a
What is the fourth biggest value in -0.2, 27, -37412, 0?
-37412
Which is the fifth smallest value? (a) 296/135 (b) -0.1 (c) 1/5 (d) 3/7 (e) -2/5 (f) -2/11
d
What is the smallest value in -127.5, 6, 190, -1?
-127.5
What is the second smallest value in -17/5, -0.1, 0, 4/3, 1/51826, 3/5?
-0.1
Which is the third biggest value? (a) 2/15 (b) -5 (c) -2/8311 (d) -267 (e) 3
c
Which is the biggest value? (a) -0.4 (b) -7.7 (c) -2/21 (d) -56.98 (e) 1
e
Which is the third biggest value? (a) -3 (b) 4854 (c) 0.3 (d) -0.5 (e) 1/2 (f) -2/11 (g) 68
e
Which is the third biggest value? (a) -0.5 (b) -0.4 (c) -9 (d) 0.4 (e) 8 (f) -24/4805 (g) -4
f
Which is the fourth smallest value? (a) 4 (b) 1/15 (c) 16/3 (d) 5.21343
c
What is the fifth biggest value in 9, -0.0111, 125, -2/11, 1, -2?
-2/11
Which is the biggest value? (a) -3777.06 (b) -2 (c) 4 (d) -5
c
Which is the sixth biggest value? (a) 0.5 (b) 0 (c) 0.43 (d) 15 (e) -1/4538 (f) -5/2
f
What is the second biggest value in 9955415/6, -5/9, 3?
3
Which is the fifth smallest value? (a) -0.07 (b) 1 (c) 0.7 (d) -4 (e) 3
e
Which is the sixth biggest value? (a) -0.1 (b) -8 (c) -0.0413 (d) 2/9 (e) 4 (f) 1/3 (g) 0
a
What is the fifth biggest value in 2/7, -1/11, 3, -115, 0.3, -2/3?
-2/3
What is the fifth smallest value in 55, -1/285, 1/4, 7, 1, -3?
7
What is the smallest value in -0.05, 2/13, -5, -3/4, 0.5, 3, -0.1?
-5
What is the fifth smallest value in 1, 14444/7, 109, -4, 5?
14444/7
Which is the third smallest value? (a) 2/3 (b) -4/11 (c) 1635 (d) -1 (e) -2/3 (f) -0.2 (g) -0.1
b
What is the sixth biggest value in -10241, 2/7, -0.2, -0.5, -5/364, -4?
-10241
What is the third smallest value in 24948, -20/3, 10/13, 4/7?
10/13
What is the sixth smallest value in 0.2, -10, 2489, 5, 4, 11?
2489
Which is the third smallest value? (a) 6961 (b) -581 (c) -0.04
a
What is the second smallest value in -2/3, -2.4, 40491?
-2/3
What is the fourth biggest value in -0.03, 8, -4, 4, -1/9, 3274?
-0.03
What is the biggest value in -8, 83269/4, 0.3, 2/7, 4, 5?
83269/4
What is the second smallest value in -5, 3/17, 23.4, -1117?
-5
Which is the fifth biggest value? (a) 0.4 (b) 1168/45 (c) 7/4 (d) 4 (e) -2/23
e
Which is the second smallest value? (a) 0 (b) 190 (c) -30.14 (d) -1 (e) -8
e
Which is the biggest value? (a) -1/2 (b) 1/6 (c) -0.3 (d) -6 (e) -9.5 (f) -5 (g) 0.011
b
Which is the smallest value? (a) -2 (b) -1 (c) 6/41 (d) 8 (e) -192
e
Which is the fourth biggest value? (a) -62 (b) -3 (c) 3 (d) -2.691 (e) -1
b
What is the third biggest value in 1.03, -734, -262?
-734
Which is the second biggest value? (a) -1 (b) 363 (c) -2444 (d) -5 (e) 0
e
What is the seventh biggest value in 2/7, -3, -44, -0.2, -31438, -0.5, 2?
-31438
What is the biggest value in 0, 56.2795, 3, 46?
56.2795
What is the third biggest value in 2/361, -127, -1, 0.3, 2/7, -0.3?
2/361
What is the second smallest value in -25, 0, 4327.02?
0
Which is the biggest value? (a) -0.059 (b) 6.868 (c) -7
b
What is the third biggest value in 81, 0.036, -350?
-350
What is the second smallest value in 3, 0.2, 961, -16, -0.6?
-0.6
Which is the third smallest value? (a) 5/6 (b) 9/7 (c) -2/5 (d) -2/3755 (e) -0.2
d
What is the third smallest value in -35, -3, -44674, -4?
-4
What is the fourth smallest value in -1/2831, -0.2, -3053, -3?
-1/2831
Which is the fifth smallest value? (a) -0.2 (b) -96 (c) 0.5 (d) 48.35 (e) -5
d
Which is the second smallest value? (a) -0.3 (b) -0.5 (c) 1.7 (d) 0.66 (e) 8241 (f) 2/3
a
What is the fourth biggest value in -0.0442, -9, -3/2, -1579?
-1579
Which is the smallest value? (a) -2 (b) -2/3 (c) -1190 (d) -6 (e) 2 (f) -4
c
What is the smallest value in 29/462, 3, -0.34?
-0.34
What is the sixth smallest value in -3, -3/4, 10, 4, -1/4, -2?
10
Which is the fifth smallest value? (a) 553 (b) -0.1 (c) -6 (d) -5 (e) -16 (f) 10/19
f
Which is the second smallest value? (a) 388 (b) -7 (c) 328/33
c
Which is the third biggest value? (a) -43.04 (b) -4.3 (c) -1/10
a
What is the second smallest value in -1.1841, 0.1, 0.4, -4/7?
-4/7
Which is the biggest value? (a) 124 (b) 95 (c) 0.04
a
Which is the second biggest value? (a) 24 (b) 0 (c) -459821
b
What is the fifth smallest value in 2/605, -19, 0.02, 2, -3?
2
Which is the third biggest value? (a) -5.02 (b) -13486 (c) 3
b
Which is the smallest value? (a) -2/5 (b) 0.3 (c) -0.1 (d) -0.15 (e) -4 (f) -368
f
Which is the second smallest value? (a) 13/6 (b) -2150 (c) -2
c
Which is the third biggest value? (a) -0.1 (b) 5 (c) 223 (d) 3 (e) 1.1 (f) 0.0359
d
What is the fourth biggest value in 6/35, 1/3, 36, 0.184, 1/7, 2/5?
0.184
Which is the second biggest value? (a) 168225.4 (b) -54 (c) -2
c
What is the biggest val
|
{
"pile_set_name": "DM Mathematics"
}
|
76, 37280, 46400, 55542?
64712
What comes next: 2312, 7374, 15688, 27242, 42024, 60022, 81224?
105618
What is the next term in -1142, -4418, -9828, -17330, -26882, -38442, -51968?
-67418
What comes next: 13090, 17215, 21340?
25465
What is the next term in -2256985, -4513980, -6770977, -9027976, -11284977, -13541980?
-15798985
What is next in 12916, 18209, 23502, 28795, 34088?
39381
What comes next: 1244305386, 1244305387, 1244305388, 1244305389, 1244305390, 1244305391?
1244305392
What is the next term in 4520787, 9041580, 13562373?
18083166
What is the next term in 2440, 2467, 2474, 2449, 2380?
2255
What comes next: -8217, -12150, -16083?
-20016
What is the next term in 5317621, 5317625, 5317629, 5317633, 5317637, 5317641?
5317645
What is the next term in -462, -370, -260, -132?
14
What is the next term in 32466, 32566, 32666?
32766
What is the next term in -42166, -42093, -42032, -41989, -41970, -41981, -42028, -42117?
-42254
What comes next: 1267, 826, 345, -194, -809, -1518, -2339, -3290?
-4389
What comes next: -17204505, -17204500, -17204483, -17204448, -17204389, -17204300?
-17204175
What comes next: 7832, 31349, 70566, 125513, 196220, 282717, 385034, 503201?
637248
What comes next: -601, -1553, -3037, -5053, -7601, -10681, -14293?
-18437
What is the next term in 8350, 22555, 46226, 79363, 121966?
174035
What comes next: -7066, -6768, -6470, -6172?
-5874
What is the next term in -995547, -995608, -995709, -995850, -996031?
-996252
What comes next: -166268, -665068, -1496400, -2660264?
-4156660
What is the next term in -169, -2125, -7669, -18595, -36697?
-63769
What is next in 39598, 39674, 39750, 39826, 39902, 39978?
40054
What is next in 8282, 34075, 77060, 137237?
214606
What is the next term in 3375976, 6751952, 10127926, 13503898, 16879868, 20255836, 23631802?
27007766
What comes next: 118884, 238870, 359954, 482136, 605416, 729794, 855270?
981844
What comes next: -38145, -38241, -38337?
-38433
What comes next: -538123, -538085, -538047?
-538009
What is the next term in -152768, -152839, -152912, -152987?
-153064
What is the next term in -91903, -183935, -275963, -367987, -460007, -552023?
-644035
What comes next: 1405072, 2810138, 4215204, 5620270, 7025336, 8430402?
9835468
What is the next term in -2687, -5553, -10323, -16991, -25551, -35997, -48323?
-62523
What is the next term in -5396, -5512, -5694, -5936, -6232?
-6576
What is next in 487498, 487488, 487478?
487468
What is next in -1709040, -3418087, -5127134, -6836181, -8545228, -10254275?
-11963322
What is the next term in 299152, 299454, 299756, 300058, 300360, 300662?
300964
What comes next: 6073, 9827, 13581?
17335
What is next in -44108, -88254, -132474, -176804, -221280, -265938?
-310814
What comes next: 2945878, 2945872, 2945866, 2945860, 2945854?
2945848
What comes next: -4796, -9730, -14946, -20444, -26224, -32286, -38630?
-45256
What is the next term in -11655865, -23311732, -34967599, -46623466?
-58279333
What is next in -10394257, -20788516, -31182775, -41577034, -51971293?
-62365552
What comes next: 11288725, 22577446, 33866167, 45154888?
56443609
What is next in -597708543, -597708545, -597708547, -597708549?
-597708551
What is the next term in 25148224, 50296474, 75444724, 100592974, 125741224?
150889474
What is the next term in 289357005, 578714008, 868071011, 1157428014, 1446785017?
1736142020
What comes next: -659021, -1317961, -1976901, -2635841?
-3294781
What is the next term in -1840052504, -1840052503, -1840052502?
-1840052501
What is next in 1255, 2346, 3371, 4318, 5175?
5930
What comes next: 5626, 10643, 15662, 20683?
25706
What comes next: 4786, -1448, -7682?
-13916
What is next in 78, -149, -1330, -4119, -9170, -17137?
-28674
What is next in -8786, -35312, -79500, -141332, -220790, -317856, -432512, -564740?
-714522
What comes next: -273, -478, -701, -942, -1201?
-1478
What comes next: 453986, 449023, 440752, 429173, 414286, 396091, 374588?
349777
What is next in 117075, 116505, 115937, 115371, 114807, 114245?
113685
What is the next term in -5927905, -5927904, -5927901, -5927896, -5927889?
-5927880
What is next in 35747172, 35747174, 35747176?
35747178
What is next in -436494356, -436494354, -436494352, -436494350, -436494348, -436494346?
-436494344
What comes next: -407320, -814510, -1221700, -1628890?
-2036080
What is next in -23290, -93089, -209422, -372289?
-581690
What is next in -109008, -122097, -135186, -148275, -161364?
-174453
What comes next: -16338073, -16338072, -16338073, -16338076, -16338081?
-16338088
What comes next: -400443, -804049, -1207655?
-1611261
What is next in -1490163, -1490163, -1490165, -1490169, -1490175, -1490183?
-1490193
What is the next term in 95197402, 95197397, 95197394, 95197393, 95197394, 95197397, 95197402?
95197409
What is next in 1349, 4568, 9603, 16454, 25121, 35604, 47903?
62018
What comes next: 8853828, 8853848, 8853868, 8853888, 8853908, 8853928?
8853948
What is next in -153166, -307859, -462552, -617245, -771938, -926631?
-1081324
What comes next: 103, 583, 1817, 4171, 8011, 13703?
21613
What is next in -1249, -1136, -875, -394, 379, 1516, 3089, 5170?
7831
What comes next: -24983, -24864, -24659, -24362, -23967, -23468, -22859?
-22134
What is next in 100873722, 201747452, 302621182, 403494912, 504368642?
605242372
What is the next term in 2070, 4133, 6218, 8331, 10478, 12665, 14898, 17183?
19526
What is next in -165909, -165892, -165891, -165912, -165961, -166044, -166167, -166336?
-166557
What is next in -3912, -9280, -16106, -24390, -34132?
-45332
What is next in -3549207, -7098430, -10647653, -14196876, -17746099?
-21295322
What comes next: 132925, 132914, 132881, 132814, 132701, 132530, 132289, 131966?
131549
What is next in -18951010, -37902089, -56853170, -75804253, -94755338, -113706425, -132657514?
-151608605
What is the next term in 9234, 36789, 82684, 146919, 229494, 330409?
449664
What comes next: -23413, -23373, -23303, -23203, -23073, -22913, -22723?
-22503
What is the next term in 31978767, 31978769, 31978771, 31978773, 31978775, 31978777?
31978779
What is next in -71, -90, -255, -638, -1311?
-2346
What is next in -11400, -45664, -102790, -182778, -285628, -411340?
-559914
What is next in -68773, -66381, -62397, -56821, -49653, -40893?
-30541
What comes next: 75595, 150793, 225991?
301189
What is next in -48641, -40017, -31389, -22757?
-14121
What is next in -104351, -208728, -313105, -417482, -521859, -626236?
-730613
What is the next term in 13645831, 13645833, 13645835, 13645837, 13645839?
13645841
What is the next term in -1740162, -1740438, -1740714?
-1740990
What is the next term in -88361, -353183, -794557, -1412483, -2206961?
-3177991
What comes next: 96, -198, -1022, -2640, -5316, -9314, -14898?
-22332
What comes next: 462566, 462573, 462580, 462587, 462594, 462601?
462608
What comes next: 148, 853, 1574, 2311, 3064?
3833
What is next in -16011, -16703, -17823, -19377, -21371, -23811, -26703, -30053?
-33867
What is the next term in -559330, -2237327, -5033996, -8949337, -13983350, -20136035, -27407392?
-35797421
What is next in -223, -473, -663, -763, -743, -573?
-223
What is next in -9224658, -18449310, -27673938, -36898530, -46123074?
-55347558
What is next in -1998, -2783, -3950, -5493, -7406, -9683, -12318, -15305?
-18638
What is the next term in 791131, 1582538, 2373947, 3165358, 3956771, 4748186?
5539603
What comes next: -2861924, -5723865, -8585808, -11447753?
-14309700
What is the next term in 3674, 7355, 11050, 14765, 18506, 22279?
26090
What is the next term in 218548, 219148, 220140, 221518, 223276?
225408
What is the next term in -2978, -12135, -27480, -49013?
-76734
What is next in 502, 465, 412, 343, 258, 157?
40
What comes next: 3099652, 3099734, 3099878, 3100090, 3100376, 3100742, 3101194, 3101738?
3102380
What is next in 3970, 3552, 2848, 1858?
582
What is the next term in 3520, 6069, 10306, 16225, 23820, 33085, 44014, 56601?
70840
What comes next: 376901, 377178, 377641, 378290, 379125, 380146?
381353
What is the next term in 927, 937, 991, 1089, 1231, 1417, 1647?
1921
What is the next term in -77160, -310692, -700604, -1246908, -1949616, -2808740?
-3824292
What comes next: 1671754, 3343548, 5015352, 6687172, 8359014?
10030884
What is next in -110911, -221626,
|
{
"pile_set_name": "DM Mathematics"
}
|
t: 673654925, 1347309850, 2020964775?
2694619700
What is next in 10223, 41228, 92929, 165320, 258395?
372148
What comes next: -30091, -60415, -90739, -121063, -151387?
-181711
What is the next term in -39529, -156808, -352271, -625918, -977749, -1407764?
-1915963
What is next in -7, 131, 197, 203, 161, 83, -19?
-133
What is next in 61885937, 123771892, 185657847, 247543802?
309429757
What is next in -1458, -5409, -9360?
-13311
What is next in -179909, -359555, -538941, -718067, -896933?
-1075539
What is the next term in -9297075, -9297079, -9297083, -9297087?
-9297091
What is next in 5595, 5333, 4891, 4269, 3467, 2485?
1323
What is the next term in 769, 3079, 9541, 22237, 43249, 74659?
118549
What comes next: 1750076, 3500119, 5250132, 7000115?
8750068
What is next in -18237502, -18237504, -18237506, -18237508, -18237510, -18237512?
-18237514
What is the next term in 2462362, 4924661, 7386960?
9849259
What is next in 1264202, 5056695, 11377510, 20226653, 31604130, 45509947, 61944110, 80906625?
102397498
What comes next: 75106, 74947, 74786, 74623, 74458, 74291, 74122?
73951
What comes next: -8327656, -16655313, -24982972, -33310633, -41638296, -49965961, -58293628?
-66621297
What is the next term in -66095, -132183, -198341, -264605, -331011?
-397595
What comes next: 1490, 3195, 5128, 7301, 9726?
12415
What comes next: 3393101, 3393102, 3393103, 3393104?
3393105
What is next in -5038, -16790, -35466, -61072, -93614, -133098, -179530, -232916?
-293262
What is the next term in 121488, 485980, 1093470, 1943958, 3037444, 4373928, 5953410?
7775890
What is next in -27833217, -27833216, -27833215, -27833214?
-27833213
What comes next: -173520, -173599, -173744, -173961, -174256, -174635, -175104, -175669?
-176336
What is the next term in -4656, -9670, -14790, -20022, -25372, -30846, -36450, -42190?
-48072
What is the next term in 379145, 757879, 1136613?
1515347
What comes next: -1635095, -3270252, -4905409, -6540566, -8175723, -9810880?
-11446037
What is next in -1331, -4159, -9999, -20369, -36787?
-60771
What is next in 1501, 6485, 14805, 26473, 41501, 59901, 81685, 106865?
135453
What comes next: -704050, -704135, -704384, -704881, -705710, -706955, -708700?
-711029
What is the next term in 1285, 2281, 3287, 4309, 5353, 6425, 7531?
8677
What is the next term in 8157829, 16315645, 24473461, 32631277?
40789093
What comes next: -1936209, -3872766, -5809323, -7745880, -9682437, -11618994?
-13555551
What is next in -19270, -76720, -172352, -306166?
-478162
What is next in -1959408, -3918744, -5878080, -7837416?
-9796752
What is the next term in -195638, -1566105, -5285946, -12529847, -24472494, -42288573?
-67152770
What is next in 13164, 105082, 354478, 840090, 1640656, 2834914, 4501602?
6719458
What is next in -9556, -11128, -12698, -14266?
-15832
What comes next: 4509, 8894, 13273, 17646, 22013?
26374
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39261
What comes next: 347095950, 347095952, 347095954, 347095956?
347095958
What comes next: 8982055, 17964114, 26946173?
35928232
What comes next: -2700, -7430, -15322, -26382, -40616, -58030, -78630?
-102422
What is next in -2270, -4241, -5908, -7271, -8330, -9085?
-9536
What is next in 17068, 17098, 17116, 17122, 17116, 17098?
17068
What is the next term in 79968, 78567, 77166, 75765, 74364, 72963?
71562
What is the next term in 22827, 22452, 22077?
21702
What is the next term in 35252, 141049, 317368, 564209?
881572
What comes next: -6745398, -6745412, -6745438, -6745482, -6745550?
-6745648
What is the next term in -17611, -114539, -276081, -502231, -792983, -1148331?
-1568269
What is the next term in 300042, 1200187, 2700430, 4800771, 7501210, 10801747?
14702382
What is the next term in 2049, 1424, 379, -1086, -2971, -5276, -8001?
-11146
What is next in 2856, 5774, 8694, 11616, 14540, 17466?
20394
What is the next term in -577, -1350, -2661, -4528, -6969?
-10002
What comes next: 9199175, 9199176, 9199177?
9199178
What is next in -231, -1511, -4915, -11505, -22343, -38491, -61011, -90965?
-129415
What is next in -6292, -4108, -1924?
260
What is the next term in -144938, -289858, -434776, -579698, -724630, -869578, -1014548, -1159546?
-1304578
What comes next: -12606, -26093, -40456, -55701, -71834, -88861?
-106788
What is next in 264, 1606, 4026, 7524, 12100, 17754, 24486?
32296
What comes next: -304915220, -304915219, -304915218?
-304915217
What comes next: 41020, 41061, 41102, 41143?
41184
What comes next: 21362, 85431, 192210, 341699, 533898, 768807, 1046426?
1366755
What comes next: -6638, -7154, -8004, -9182, -10682, -12498?
-14624
What comes next: -1336, -5309, -14720, -32287, -60728, -102761, -161104?
-238475
What comes next: -2303574, -2303556, -2303528, -2303490?
-2303442
What is the next term in 149966, 1199888, 4049688, 9599306, 18748682, 32397756?
51446468
What is next in 3147, 7343, 11539, 15735?
19931
What is next in 1269, 2404, 4293, 6936, 10333, 14484, 19389?
25048
What is next in -1088533, -2177078, -3265625, -4354174, -5442725?
-6531278
What comes next: 10301, 20554, 30705, 40730, 50605, 60306, 69809, 79090?
88125
What is next in -519414, -519491, -519568, -519645, -519722, -519799?
-519876
What is the next term in 90121, 90073, 89935, 89659, 89197, 88501?
87523
What is the next term in -16145037, -32290073, -48435109, -64580145, -80725181, -96870217?
-113015253
What comes next: -1394678, -5578698, -12552062, -22314770?
-34866822
What comes next: 61076, 122371, 183666, 244961, 306256?
367551
What is the next term in -4129, -8843, -14177, -20131, -26705, -33899, -41713?
-50147
What comes next: -35994986, -35994984, -35994982, -35994980, -35994978, -35994976?
-35994974
What is next in -2579, -5606, -8695, -11852, -15083?
-18394
What is next in -87, -1134, -4017, -9636, -18891, -32682, -51909?
-77472
What is the next term in 152155425, 304310829, 456466231, 608621631, 760777029, 912932425?
1065087819
What is next in -4082, -4130, -4182, -4232, -4274, -4302, -4310, -4292?
-4242
What comes next: 36348, 72429, 108518, 144615, 180720?
216833
What is next in -5769, -23740, -54981, -100548, -161497, -238884, -333765?
-447196
What is the next term in 4083074, 8166165, 12249258, 16332353, 20415450, 24498549, 28581650?
32664753
What is next in 33043, 33045, 33053, 33073, 33111?
33173
What is next in -8355952, -8355987, -8356022, -8356057?
-8356092
What is next in 9477, 10518, 11557, 12594?
13629
What comes next: 107908, 107338, 106388, 105058, 103348, 101258, 98788?
95938
What comes next: 33485526, 33485528, 33485530, 33485532?
33485534
What is the next term in -51496, -101135, -150764, -200377, -249968?
-299531
What comes next: 450040972, 450040975, 450040978, 450040981?
450040984
What is the next term in -3764, -1606, 552, 2710, 4868, 7026?
9184
What is next in 1144, 2510, 4102, 5920, 7964, 10234, 12730?
15452
What is the next term in -88715, -88758, -88801, -88844, -88887, -88930?
-88973
What is the next term in -4405, -3942, -3479?
-3016
What is next in -102517, -204917, -307317, -409717, -512117?
-614517
What is next in 11265, 12481, 15759, 22131, 32629, 48285?
70131
What comes next: 11560210, 11560206, 11560200, 11560192, 11560182?
11560170
What is the next term in -1213, 2674, 9153, 18224, 29887, 44142, 60989?
80428
What comes next: -29151, -17424, 2115, 29460, 64605, 107544, 158271?
216780
What comes next: 840492, 840510, 840530, 840552, 840576?
840602
What comes next: -227123, -227193, -227263, -227333, -227403?
-227473
What comes next: 530198, 530126, 530054, 529982, 529910, 529838?
529766
What is next in -68040, -68490, -69240, -70290, -71640, -73290, -75240?
-77490
What is next in 35537169, 35537173, 35537179, 35537187?
35537197
What is the next term in -2782, -18195, -43908, -79927, -126258?
-182907
What comes next: -145563, -291124, -436689, -582258?
-727831
What is the next term in -171929989, -343859977, -515789965, -687719953, -859649941, -1031579929?
-1203509917
What is the next term in 7793, 7805, 7815, 7823, 7829, 7833?
7835
What is the next term in -671, -654, -699, -806?
-975
What is next in -1166, -1278, -1394, -1514?
-1638
What is next in -1557060, -1557084, -1557108, -1557132, -1557156?
-1557180
What is next in -3666603, -7333197, -10999799, -14666415, -18333051?
-21999713
Wha
|
{
"pile_set_name": "DM Mathematics"
}
|
686*p*x wrt x?
5446*p**2
What is the second derivative of 36*k*l**3*v**2 + 6*k*l*v**2 - 3*k*l*v - 49*k*l + 3*l**3 + 5*l**2*v**2 wrt l?
216*k*l*v**2 + 18*l + 10*v**2
Find the third derivative of 107*y**4 - 2*y**3 - y**2 + 20.
2568*y - 12
What is the second derivative of -74*o**4 + 115*o wrt o?
-888*o**2
What is the third derivative of -7*a*u**4*x + 4*a*u**3 - 2*a*u**2*x + a*u**2 + a*u + 10*u**4*x - 278*u**2 + x wrt u?
-168*a*u*x + 24*a + 240*u*x
Find the second derivative of 28*d**3*w + 17*d**3 - 443*d*w wrt d.
168*d*w + 102*d
Differentiate 200*q*v**3 - 7*q*v**2 + 4*v**3 + 3*v wrt q.
200*v**3 - 7*v**2
Find the second derivative of 308*j**5 - 4*j.
6160*j**3
What is the first derivative of 30*f**2*q**3*u + 8*f**2*q**3 + 4*f**2*q**2*u - 7*f**2*q**2 + f*q**2 wrt u?
30*f**2*q**3 + 4*f**2*q**2
What is the derivative of -227*u**2 + 332?
-454*u
Find the second derivative of -6*a*f**2*q**4 - 51*a*f**2*q - 3*a*f**2 + a*f + 18*a*q**4 wrt q.
-72*a*f**2*q**2 + 216*a*q**2
Find the first derivative of -p*s**3*w + 377*p*s**3 - 6*p*s*w - p*s + 209*p*w - 2*p wrt w.
-p*s**3 - 6*p*s + 209*p
What is the derivative of 1177*p + 930?
1177
Differentiate -583*l**2 + 12843 wrt l.
-1166*l
Differentiate 4*a*b**2*u*y - 2*a*b**2*y + 111*a*b**2 - 20*a*u + a*y + 7*b**2*u - 2*b**2 + 2 with respect to u.
4*a*b**2*y - 20*a + 7*b**2
What is the third derivative of -1550*j**6 + 3006*j**2 + 2*j?
-186000*j**3
What is the third derivative of 831*z**3 + 134*z**2 - 1?
4986
What is the first derivative of 52*f**2*h + 2*f**2*n**2 + f**2 + 5*h*n**3 + 2*h + 26*n**3 wrt n?
4*f**2*n + 15*h*n**2 + 78*n**2
Find the second derivative of 52*b*t**2*v**3 + 160*b*t**2*v**2*x**3 - b*t*v**3 - 3*b*v**2*x - 2*t*v**2*x**3 - 11*v**3*x + 13*v**2*x**3 wrt t.
104*b*v**3 + 320*b*v**2*x**3
Find the third derivative of -17*f**5 - 12*f**4 + 2*f**3 + 20182*f**2.
-1020*f**2 - 288*f + 12
Find the second derivative of -7117*m**2*s**3 - 53*m*s**3 - m*s wrt m.
-14234*s**3
Find the second derivative of 6*i**5 + 5*i**4 - 2*i**3 - 12*i + 92 wrt i.
120*i**3 + 60*i**2 - 12*i
Find the third derivative of 3*h*o**3 - 12*h*o**2 - 10*h - 6*o**4 - 11*o**3 wrt o.
18*h - 144*o - 66
Differentiate 78*f*r**2*w**3 - f*r**2*w**2 - f*r - 2*r**2*w + 53*r**2 - r*w**3 with respect to f.
78*r**2*w**3 - r**2*w**2 - r
Find the third derivative of 6*c**2*f**3 - 2*c**2*f**2 + 8*c*f - 15*f**5 - 11*f**2 wrt f.
36*c**2 - 900*f**2
Differentiate 6*i*y + 6*i + 29*y - 60 with respect to y.
6*i + 29
Find the third derivative of 77*o**3*p**3*z - o**3*p**2 + 119*o*p**2 + 27*p**3*z + 39*p*z wrt p.
462*o**3*z + 162*z
Find the second derivative of -191*i**2*k**2 - 17*i**2*z + 2*i*k**2*z + 2*i - 9*k**2*z - 55*k**2 - k wrt i.
-382*k**2 - 34*z
Find the second derivative of 206*a**2*c**2*r*u**3 - 2*a**2*c**2*u**3 + 3*a*c**2*u**3 - a*c**2*u**2 - 26*a*r*u**2 - 5*r*u**3 wrt a.
412*c**2*r*u**3 - 4*c**2*u**3
Find the second derivative of -62*d**2*j**2*p - 2*d**2*j**2 - d**2*j*p + 2*j**2*p**3 - j + 23*p**3 + p**2 wrt j.
-124*d**2*p - 4*d**2 + 4*p**3
What is the second derivative of 157*a**2 - 477*a wrt a?
314
Find the third derivative of 1757*g**4 + 2413*g**2 wrt g.
42168*g
What is the derivative of -y**4 + 25*y**2 + 224?
-4*y**3 + 50*y
What is the second derivative of 10108*p**2 + 8593*p wrt p?
20216
What is the second derivative of 172*k**3 + 71*k wrt k?
1032*k
Find the second derivative of -35061*z**2 + z - 607.
-70122
Find the second derivative of 2*g**3*t**2 - 2*g**3*t - 2*g**3 - 29*g**2*t**2 - 2*g*t**2 - 10*g + 22*t wrt t.
4*g**3 - 58*g**2 - 4*g
Find the second derivative of -18618*r**2 + 234*r - 25.
-37236
Find the third derivative of -b**5 + b**3*w**3 - 16*b**3*w - b**2*w**3 + w**3 - 11*w**2 wrt b.
-60*b**2 + 6*w**3 - 96*w
Find the second derivative of -o**2*x - 122*o**2 + 339*o*x + 2*o wrt o.
-2*x - 244
What is the second derivative of 3*m**4 - 44*m**3*y**2 - 12*m**3 + 7227*m*y**2 wrt m?
36*m**2 - 264*m*y**2 - 72*m
What is the second derivative of -36*p**2 - 4*p + 31 wrt p?
-72
Find the second derivative of 4*a**3*p**2 - 200*a**3*p - 2*a**3 + 19*p**2 - p wrt p.
8*a**3 + 38
Differentiate 531*g**2*h + 3609*g**2 - g*h**2 wrt h.
531*g**2 - 2*g*h
Find the second derivative of 1433*b**5 - 1683*b.
28660*b**3
Find the first derivative of 8137*d - 4301 wrt d.
8137
Find the third derivative of -21568*j**3*s**3*y - 16*j**2*s - 2*j*s**3*y + 125*j*s**2*y wrt j.
-129408*s**3*y
Differentiate 820*c**2*z - 241*c**2 wrt z.
820*c**2
What is the second derivative of 1289*n**2 + 6703*n?
2578
What is the derivative of 2992*x - 1742?
2992
Find the third derivative of -19*h**4*i**2 + 31*h**4*i + h**3*i**2 - 2448*h**2*i**2 wrt h.
-456*h*i**2 + 744*h*i + 6*i**2
What is the third derivative of 101*y**6 + 2*y**5 + 96*y**2 - 3 wrt y?
12120*y**3 + 120*y**2
What is the first derivative of 167*s*w + 2*w + 12 wrt s?
167*w
What is the third derivative of 4281*c**3 + 508*c**2 wrt c?
25686
Find the first derivative of -2*d**3*s + 16*d**3 + 1946*s + 104 wrt s.
-2*d**3 + 1946
What is the second derivative of g**2*t**3 - 12*g**2*t**2 - 2*g**2*t - 367*g**2 + 41*t**4 wrt t?
6*g**2*t - 24*g**2 + 492*t**2
Find the third derivative of 49*g**4*n + 2*g**3*n**2 - 2*g**3 - 6196*g**2 - n**2 wrt g.
1176*g*n + 12*n**2 - 12
What is the third derivative of -5*a**2*n**4 + 4*a**2*n**2 + 22*a**2*n - 11*a*n**4 + n**4 wrt n?
-120*a**2*n - 264*a*n + 24*n
Differentiate -5*a**3*o - a**3*x - 6*a*x**2 + 29*o*x - 3*x**2 - 2*x with respect to a.
-15*a**2*o - 3*a**2*x - 6*x**2
What is the derivative of -8*l**3*n + 10*l**3 - 2*n + 7 wrt l?
-24*l**2*n + 30*l**2
Find the second derivative of -98*a**2*t**2 - 3*a*t + 55*t**2 wrt a.
-196*t**2
Find the third derivative of 49*n**6*x - 2*n**5*x**2 + 410*n**2*x**2 + 2*x**2 wrt n.
5880*n**3*x - 120*n**2*x**2
What is the second derivative of 8*i*l**4 + i*l**2 + i*l + 2*i + 27*l**5 + 89*l wrt l?
96*i*l**2 + 2*i + 540*l**3
What is the derivative of -k**3*p + 2*k**3*u + 13*k*p*u + 18*p - 2*u wrt u?
2*k**3 + 13*k*p - 2
Find the first derivative of -1361*k + 3962.
-1361
Find the second derivative of -3*p**5 - 42*p**4 + 177*p - 2.
-60*p**3 - 504*p**2
Differentiate 122*b*p**2*t + 5*b + 27*p**2*t + 391*p**2 with respect to t.
122*b*p**2 + 27*p**2
What is the second derivative of -209*s**2 + 33*s - 3 wrt s?
-418
Find the first derivative of -35*m - 131 wrt m.
-35
What is the derivative of -124*s**2*u**4 + 1329*s**2 wrt u?
-496*s**2*u**3
Differentiate -200*c*m - 320*c with respect to m.
-200*c
Find the third derivative of 2*k*r**3 + 11*k*r**2 - k - 74*r**5 - 2*r**4 + 6*r**2 wrt r.
12*k - 4440*r**2 - 48*r
What is the third derivative of -1009*z**6 + 3*z**5 - 2*z**2 + 229*z wrt z?
-121080*z**3 + 180*z**2
What is the second derivative of 1611*i**2*s**2 - 2*i - 138*s**2 + 6 wrt i?
3222*s**2
Find the third derivative of -24*q**3*s**3 + 91*q**3*s**2 - 3*q**2*s**2 + 2*q*s - 5*s**3 - 280*s**2 wrt q.
-144*s**3 + 546*s**2
Differentiate 9*a**2*d - 29*a**2 - 2*a*d + d + 8219 with respect to a.
18*a*d - 58*a - 2*d
What is the second derivative of -223*d**2 - 212*d?
-446
What is the third derivative of -961*i**4*p**3 - 2*i**3*m**2*p**3 - 2*i**2 - 2*i*m**2*p**3 - 16*i*m**2*p wrt i?
-23064*i*p**3 - 12*m**2*p**3
Find the second derivative of -34*g*o**2 + g - 5*o**4 - o wrt o.
-68*g - 60*o**2
What is the second derivative of 639*a**2*y**3 - 98*a*y**3 wrt a?
1278*y**3
Find the second derivative of -2106*n**2 + 1651*n.
-4212
Find the second derivative of -25354*r**4 + 1651*r.
-304248*r**2
Differentiate -16413*d*p - 15245*p with respect to d.
-16413*p
What is the second derivative of -171*p**4 - 2*p + 62?
-2052*p**2
Find the second derivative of f**5 - 105*f**4 - 188*f wrt f.
20*f**3 - 1260*f**2
What is the second derivative of -63*p**2 - 335*p wrt p?
-126
Find the third derivative of -6177*m**3 - 17370*m**2.
-37062
Differentiate 156*d**2*m**2 - 432*d**2 - 2*m**2 wrt m.
312*d**2*m - 4*m
Differentiate -479*v*y**2 + 5*y**2 + 18 with respect to v.
-479*y**2
What is the third derivative of -1672*d*l**6 - 2*d*l**2 - 4*d*l + 44*d wrt l?
-200640*d*l**3
What is the derivative of 773*g**4 + 2683?
3092*g**3
Find the second derivative of 2*p**3*u*v**2 - 5*p**3*u + 12*p**2*u*v**2 + 6*p*v**3 - u*v - 5*u wrt v.
4*p**3*u + 24*p**2*u + 36*p*v
Find the third derivative of 1061*v**6 + 1726*v**2.
127320*v**3
What is the third de
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{
"pile_set_name": "DM Mathematics"
}
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**4 + 4*l**3 - 2*l**2 + 1. Let r(x) = 0. Calculate x.
0, 1
Let a(v) = -3*v**2 - 21*v + 23. Let n(f) = f**2 + 10*f - 11. Let o(p) = -2*a(p) - 5*n(p). Let k be o(7). Let -2/7*t**k - 2/7 - 4/7*t = 0. Calculate t.
-1
Let n(b) be the third derivative of -b**8/23520 + b**7/3528 + b**6/1260 + 3*b**5/20 - 5*b**2. Let a(l) be the third derivative of n(l). Factor a(w).
-2*(w - 2)*(3*w + 1)/7
Let o(y) = y**2 + 1. Let c(s) = -3*s**2 - 2. Let d(f) = -6*c(f) - 15*o(f). Suppose d(l) = 0. Calculate l.
-1, 1
Let j(y) be the first derivative of -y**8/3920 + y**7/490 - y**6/168 + y**5/140 - 5*y**3/3 - 2. Let w(z) be the third derivative of j(z). Factor w(o).
-3*o*(o - 2)*(o - 1)**2/7
Let u be 1784/28 + 4/14. Let z = u - 190/3. Solve -4/3 - z*f + 2/3*f**2 = 0.
-1, 2
Factor 44*u - 26*u + 3*u**2 - 42*u + 21.
3*(u - 7)*(u - 1)
Solve 1 + 459*y + 35*y**2 - 1 - 5*y**3 - 509*y = 0 for y.
0, 2, 5
Factor -2/5 - 6/5*r**2 - 2/5*r**3 - 6/5*r.
-2*(r + 1)**3/5
Suppose -19 - 1 = -5*y. Suppose -2*f = 5*b - 20, 2*f + 2 = 4*b + 4. Factor 5*u**y - 5*u**2 + 1 - 5*u**2 - u - 2*u**3 + 3*u**f + 4*u**2.
(u - 1)*(u + 1)**3*(3*u - 1)
Find l, given that 3/2*l - 21/4*l**2 + 21/4*l**4 + 0 - 3/2*l**3 = 0.
-1, 0, 2/7, 1
Let j(o) be the first derivative of -o**4/6 + 10*o**3/9 - 8*o**2/3 + 8*o/3 - 16. Determine d, given that j(d) = 0.
1, 2
Let p(f) = f**3 - 3*f**2 + 2*f - 4. Let w be p(3). Suppose -3*s + 3*n - 5 = -w, -2*s + 4*n - 8 = 0. Let -i**3 - 3/2*i**s + 0 + i + 3/2*i**4 = 0. What is i?
-1, 0, 2/3, 1
Let a = 1542 + -1540. Solve 32/13*n**a + 2/13 - 16/13*n = 0.
1/4
Let f be 11/14 + -2 + 84/49. Factor f*y + 0 + 1/2*y**2.
y*(y + 1)/2
Let g = -15 - -15. Let a(n) be the third derivative of g*n - 2*n**2 + 0*n**3 - 1/240*n**5 + 0 - 1/48*n**4. Factor a(t).
-t*(t + 2)/4
Let r(n) be the second derivative of -n**10/60480 - n**9/30240 + n**8/13440 + n**7/5040 - n**4/6 + 3*n. Let s(q) be the third derivative of r(q). Factor s(o).
-o**2*(o - 1)*(o + 1)**2/2
Let l(z) = z**3 + 4*z**2 - 5*z + 2. Let a be l(-5). Factor 4 - 4 - a*t + t - t**2.
-t*(t + 1)
Let u(q) be the third derivative of -q**6/40 + 3*q**5/20 - 3*q**4/8 + q**3/2 + 5*q**2. Factor u(y).
-3*(y - 1)**3
Let d be ((-24)/5 - -4)/((-4)/10). Let 1/2 + 1/4*b - 21/4*b**2 + d*b**3 + 7*b**4 = 0. Calculate b.
-1, -2/7, 1/2
Let o = 41/15 - 272/105. Solve 0 - o*n**2 + 2/7*n = 0.
0, 2
Factor 2/13*f**2 - 12/13 - 10/13*f.
2*(f - 6)*(f + 1)/13
Let k(l) be the first derivative of -2/25*l**5 + 2/5*l + 1/5*l**4 + 4 - 2/5*l**2 + 0*l**3. Find r, given that k(r) = 0.
-1, 1
Let n(f) = -f. Let x(j) = 2*j**4 - 6*j**2 - 10*j. Let v(i) = 12*n(i) - 2*x(i). Factor v(d).
-4*d*(d - 2)*(d + 1)**2
Let b(n) = -5*n**3 - 11*n**2 - 11*n - 3. Let j(d) be the second derivative of d**5/20 + d**4/12 + d**3/6 - 2*d. Let h(g) = -b(g) - 2*j(g). Factor h(v).
3*(v + 1)**3
Let u be 0 - 1 - (8 - 16). Let z = 10 - u. Let -2*c**2 - 5*c**z - 2*c**2 + 5*c**2 + 4*c**4 = 0. Calculate c.
0, 1/4, 1
Let m(w) = -11*w**3 + 8*w**2 + w - 6. Let d be (4/(-8))/(3/(-48)). Let a(l) = -7*l**3 + 5*l**2 + l - 4. Let u(z) = d*a(z) - 5*m(z). Solve u(c) = 0 for c.
-2, 1
Solve 1/3*m + 5/3*m**3 + 2/3 - 8/3*m**2 = 0 for m.
-2/5, 1
Suppose 10*g = 7*g. Let y(v) be the first derivative of 2 + 0*v**3 + 0*v + 1/15*v**6 + g*v**2 - 4/25*v**5 + 1/10*v**4. Factor y(t).
2*t**3*(t - 1)**2/5
Let q(p) be the first derivative of -p**6/3 - 6*p**5/5 - p**4 + 4*p**3/3 + 3*p**2 + 2*p + 7. Suppose q(v) = 0. What is v?
-1, 1
Let b(z) be the third derivative of z**5/15 - z**4/3 - 16*z**3/3 + 22*z**2. Factor b(t).
4*(t - 4)*(t + 2)
Determine v, given that -19/5*v**2 + 0 - 6/5*v + 7/5*v**3 = 0.
-2/7, 0, 3
Let d(c) = c**2 + 209*c + 1729. Let q(n) = -n**2 - 314*n - 2593. Let s(t) = 8*d(t) + 5*q(t). Determine u, given that s(u) = 0.
-17
Let b = -197 - -11821/60. Let w(z) be the third derivative of 0 + 0*z**3 + 0*z**4 + 3*z**2 - b*z**5 - 1/210*z**7 + 0*z - 1/60*z**6. Let w(i) = 0. What is i?
-1, 0
Let f(o) be the third derivative of o**7/455 - o**6/195 - 3*o**5/130 + 3*o**4/26 - 8*o**3/39 - 4*o**2 - 3. Determine x, given that f(x) = 0.
-2, 1, 4/3
Factor -27/5*m**3 + 0 - 21/5*m**2 - 3/5*m**5 - 6/5*m - 3*m**4.
-3*m*(m + 1)**3*(m + 2)/5
Suppose -t = 1 - 3. Suppose -48*w + 47*w = 0. Factor 2/3*m - 2/3*m**t + w.
-2*m*(m - 1)/3
Let v(g) be the first derivative of g**7/315 - g**6/90 + g**5/90 - 3*g**2/2 + 2. Let q(f) be the second derivative of v(f). Suppose q(y) = 0. Calculate y.
0, 1
Let m(l) = 3*l**3 - l**2 + 12*l + 12. Let i(y) = 2*y**3 - y**2 + 11*y + 12. Let r(k) = 4*i(k) - 3*m(k). What is f in r(f) = 0?
-2, 3
Factor 0*v**2 + 4*v**2 + 6*v + 4 + 4*v - 2*v.
4*(v + 1)**2
Suppose 0*c + 0 + c**2 + 1/2*c**5 + 5/2*c**3 + 2*c**4 = 0. Calculate c.
-2, -1, 0
What is a in -15*a - 2*a**4 - 315*a**3 - 5*a**2 + 10 - 3*a**4 + 330*a**3 = 0?
-1, 1, 2
Let x(z) be the first derivative of 3*z**5/4 - 3*z**4/2 - 9*z**3/4 + 3*z**2 + 3*z + 45. Suppose x(y) = 0. What is y?
-1, -2/5, 1, 2
Let x(d) be the third derivative of d**6/360 - d**4/24 + d**3/9 - 8*d**2. Determine y so that x(y) = 0.
-2, 1
Let n(b) be the second derivative of -1/15*b**6 - 1/12*b**4 + 6*b - 1/84*b**7 + 0*b**3 + 0 + 0*b**2 - 1/8*b**5. Find f such that n(f) = 0.
-2, -1, 0
Let c(d) = 8*d**4 + 4*d**3 - 8*d**2 - 9*d + 5. Let u(i) = i**4 + i**3 - i + 1. Suppose -6 = -3*p, 3*a - 5*p = -a - 6. Let r(o) = a*c(o) - 5*u(o). Factor r(x).
x*(x - 2)*(x + 1)*(3*x + 2)
Suppose 4*b + 35 = -149. Let g = -46 - b. Suppose g - 14/13*q**2 + 4/13*q - 4/13*q**3 + 14/13*q**4 = 0. Calculate q.
-1, 0, 2/7, 1
Find v such that -2/3*v + 2/3*v**3 + 0 + 0*v**2 = 0.
-1, 0, 1
Let -2/3*q**2 + 0 - q + 1/3*q**3 = 0. Calculate q.
-1, 0, 3
Let j(z) be the third derivative of -z**5/40 - z**4/8 - z**3/4 - 7*z**2. Factor j(q).
-3*(q + 1)**2/2
Let v = 175 + -347/2. Factor -3/2*i**4 + i**3 + 1/2 + 1/2*i**5 + i**2 - v*i.
(i - 1)**4*(i + 1)/2
Let q be 4/(-10)*30/(-8). Solve -q*z**2 + 0*z + 3/2 = 0 for z.
-1, 1
Factor v + 0 - 1/5*v**2.
-v*(v - 5)/5
Suppose -18*g + 20*g + 2*o + 6 = 0, 4*o + 12 = g. Suppose 2/9*j**2 + g + 4/9*j = 0. Calculate j.
-2, 0
Let i(k) be the third derivative of k**6/360 + k**5/90 + k**4/72 + 5*k**2. Find x, given that i(x) = 0.
-1, 0
Let s(c) be the second derivative of -c**4/48 + c**3/2 - 9*c**2/2 - 3*c. Solve s(n) = 0.
6
Suppose 34 = 3*j + 28. Let y(b) be the second derivative of 2*b + 1/6*b**3 - 1/42*b**7 - 1/6*b**4 + 0*b**5 + 0*b**j + 1/15*b**6 + 0. Factor y(o).
-o*(o - 1)**3*(o + 1)
Let y(p) be the third derivative of p**7/105 - p**6/30 + p**5/30 + 4*p**2. Factor y(b).
2*b**2*(b - 1)**2
Solve -12/7*n**2 + 0 + 0*n - 2*n**3 + 6/7*n**4 = 0 for n.
-2/3, 0, 3
Let w(g) = -g**2 + g. Let r(z) = 3*z**2 - 10*z - 5. Let x(q) = r(q) + 4*w(q). Factor x(m).
-(m + 1)*(m + 5)
Let b(d) = -4*d**4 + 8*d**3 + d + 5. Let w(h) = -5*h**4 + 9*h**3 + 2*h + 6. Let x(f) = 6*b(f) - 5*w(f). Determine c, given that x(c) = 0.
-2, 0, 1
Let d(h) be the second derivative of -h**4/36 + h**3/18 + h**2 - 18*h. Factor d(k).
-(k - 3)*(k + 2)/3
Let z(s) be the first derivative of -s**6/6 + 3*s**5/5 - s**4/2 - 2*s**3/3 + 3*s**2/2 - s - 2. Factor z(y).
-(y - 1)**4*(y + 1)
Suppose -4*i + 1 = g - 11, 3*g + 9 = 3*i. What is t in t - 3/2*t**2 + 0 + 1/2*t**i = 0?
0, 1, 2
Let b(a) be the second derivative of -a + 0*a**4 + 1/75*a**6 + 0 + 0*a**2 - 1/50*a**5 + 0*a**3. Factor b(k).
2*k**3*(k - 1)/5
Suppose -15*n + 233 = 158. What is i in 0*i**2 + 0*i + 0 + 2/11*i**n - 2/11*i**3 + 0*i**4 = 0?
-1, 0, 1
Suppose -a + 12 = 2*a. Factor -2*s**2 + 3 + a*s + 3 - 2 - 6.
-2*(s - 1)**2
Let z be (-3)/((-1008)/68) + (-6)/(-8). Let k(g) be the second derivative of 4/7*g**2 + 0 - 3*g - z*g**3 + 25/42*g**4. Factor k(i).
2*(5*i - 2)**2/7
Let b(g) be the third derivative of -g**7/525 + g**6/300 + g**5/75 + 18*g**2. Determine m, given that b(m) = 0.
-1, 0, 2
Let f(t) be the first derivative of -t**6/420 + t**4/84 + 5*t**2/2 + 2. Let u(i) be the second derivative of f(i). Factor u(o).
-2*o*(o - 1)*(o + 1)/7
Suppose -35 = -5*j - 4*u, 30 = -0*j + 5*j + 3*u. Suppose 9 + 2*a**2 - j*a**2 + 0*a**2 - 2*a**2 + 6*a = 0. Calculate a.
-1, 3
Factor 2*q - 1/2*q**2 - 2.
-(q - 2)**2/2
Factor -4/11*a + 0 + 2/11*a**3 + 2/11*a**2.
2*a*(a - 1)*(a + 2)/11
Let u be (-2)/(-2) - (-5)/(-7). Let h = 737 - 734. Factor 24/7*c + 16/7 + 12/7*c**2 + u*c**h.
2*(c + 2)**3/7
Let z(q) be the first derivative of -q
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{
"pile_set_name": "DM Mathematics"
}
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398)/(-5929) + (-148)/407. Sort 0.05, 0, t, 0.2, -2/3.
-2/3, 0, t, 0.05, 0.2
Let t = 152.97 + -0.97. Let u = 153 - t. Let x = 61 + -61.8. Sort x, u, 0 in descending order.
u, 0, x
Let p be (255/(-68) + 2/(-1))*-4. Suppose p = -2*d - d + b, 5*d + 3*b = -29. Put d, 4, -2 in increasing order.
d, -2, 4
Let w be 3 + 93/36 - (-4)/6. Let t = w + -97/20. Put t, -3/2, -1, -1/9 in increasing order.
-3/2, -1, -1/9, t
Suppose 5*h = -2*p + 95 + 33, p = -2*h + 50. Sort -11/2, h, 0.5 in decreasing order.
h, 0.5, -11/2
Let a be 216/270 - ((0 - -1) + -1). Put 4, 0.45, a in descending order.
4, a, 0.45
Suppose 106 = -228*q - 201 - 149. Put -1, q, -3, 45 in descending order.
45, -1, q, -3
Suppose 3*i + 64 = 4*n, -i + 80 = -22*n + 27*n. Put 0.4, -4, n, -6 in increasing order.
-6, -4, 0.4, n
Let w = 31 + 25. Let a = -54 + w. Let d = -0.8 + 0.7. Put a, 0.06, d in decreasing order.
a, 0.06, d
Let h = -734 - -5869/8. Suppose a - 5*a + 20 = 0. Sort h, a, -0.3 in increasing order.
h, -0.3, a
Let q = -20476 - -20408. Sort -8, 0, q in decreasing order.
0, -8, q
Suppose 1 = 2*b - b - 4*g, 4*b - 25 = -5*g. Suppose 2*q + 3 = -3. Let l be 309/206*32/(-6). Sort b, l, q in decreasing order.
b, q, l
Let o = 16.31 + -19.31. Put o, -5, 2, 28/3 in descending order.
28/3, 2, o, -5
Suppose 6*h + 165 - 27 = 0. Let g(q) = 3*q - 9. Let s be g(-4). Let c = s - h. Put c, 5, -1 in descending order.
5, c, -1
Let z = -12992/3 + 4330. Sort -1/6, 2/85, z, -0.2 in descending order.
2/85, -1/6, -0.2, z
Let t(s) = -s - 2. Let j be ((-2)/(-4))/((-1)/8). Let f be t(j). Suppose m = 10, -23*l + 26*l + 4*m - 40 = 0. Sort 3, f, l in increasing order.
l, f, 3
Suppose 2*t - l - 1333 = 0, -3*l = 2*t - 6*t + 2663. Let v = -673 + t. Sort -1, 4, v, -59.
-59, v, -1, 4
Suppose 28*t - 23*t - 35 = 5*l, -4*t + 4 = 4*l. Let u be (-2 + 1)/(6/2). Sort -3/7, -1/5, u, l in decreasing order.
-1/5, u, -3/7, l
Let v = 97 - 95. Let q(k) = k**2 - 4*k + 6. Let i be q(v). Put i, 0.04, -0.1, 5 in decreasing order.
5, i, 0.04, -0.1
Let j = 451/5 + -90. Suppose 26*o - 24 = 18*o. Sort -5, -20, o, j in descending order.
o, j, -5, -20
Let b = 18156 - 18116. Sort -3/2, b, -2/19.
-3/2, -2/19, b
Let c = 591 + -399. Let a = c - 166. Sort a, -5, -0.5, -4/3 in descending order.
a, -0.5, -4/3, -5
Let a be 0 - ((-3)/(-6))/((-297)/108). Sort a, -454, 1 in decreasing order.
1, a, -454
Let h(k) = 26*k**3 + 19*k - 8*k**2 - 15*k**3 + 4 - 10*k**3. Let w be h(5). Put -4, w, -2 in descending order.
w, -2, -4
Let x = 972 + -968. Let a(m) = 4*m**2 + 8*m - 5. Let u be (-20)/(-6)*(-72)/60. Let y be a(u). Put -2, x, y in descending order.
y, x, -2
Let c be (28*-2)/(-8) + -1. Suppose 4*o + 12*o + 16 = 0. Put o, c, -4 in decreasing order.
c, o, -4
Let j = -44.6 + 40.4. Let k = 64.8 - 72. Let v = k - j. Put 0, v, -5 in increasing order.
-5, v, 0
Suppose -r + 75 = 4*f - 10*r, 2*f - 2*r - 50 = 0. Sort f, 1, 47, 4 in descending order.
47, f, 4, 1
Let v be 1*3/2 + 35/10. Let i = -20.6 - -21. Suppose -3*p - 3*p = -9*p. Sort i, v, p, -2.
-2, p, i, v
Suppose 0 = 52*m + 126 + 30. Let i = -34 - -33. Sort i, -2, 1, m in descending order.
1, i, -2, m
Let u = -1141 + 1136. Sort u, 5, -9, 4, -4 in increasing order.
-9, u, -4, 4, 5
Let a = -17.54 - 1.76. Let i = 23.3 + a. Put i, 1/5, 11 in descending order.
11, i, 1/5
Let z = -2723 - -2476.8. Let x = z - -255. Sort 0.1, x, 1/7 in descending order.
x, 1/7, 0.1
Let h = 2576471/7 + -368696. Let o = -629 - h. Sort 3, 1, o, 9 in descending order.
9, 3, 1, o
Let m be 4/(-10) + (-132)/(-30). Suppose -4*g = -m*k + 12, -4*k + 27 = k - g. Let j be (-5 - 24/(-6))/(5/(-5)). Put -1, j, k, -0.5 in ascending order.
-1, -0.5, j, k
Let x be (-86)/18 + 5 - 0. Sort -1.1, 7, -2/9, 0.1, x in ascending order.
-1.1, -2/9, 0.1, x, 7
Suppose 4*a + 7 = 35. Suppose -7 = a*x + 28. Let b be 7/(28/452)*-1. Put b, 2, x in increasing order.
b, x, 2
Let f = 2202 - 2191. Let m = 10.92 + -11. Sort -5, m, f in decreasing order.
f, m, -5
Let h(a) = -a**2 - 6*a - 5. Let r be h(-4). Suppose -320*u + 4 = 3*w - 325*u, -67*w + 4*u = 126. Let g be ((-18)/(-5))/(3/10). Sort g, r, 4, w.
w, r, 4, g
Let l be (-11)/28 - 4/(-16). Let o = 2.806 - 2.706. Sort o, l, 2 in ascending order.
l, o, 2
Let a be ((-82)/42 + (-82)/(-287))*(-9)/3. Put -3, a, -1, 56 in ascending order.
-3, -1, a, 56
Let c = -9 + 6. Let l = 1.1953 + -1.0953. Put 3, l, c in ascending order.
c, l, 3
Suppose 2*f - 2 + 0 = 0. Let w be 2*(-45)/(-6)*36. Suppose -95 = 559*c - w*c. Put 8, f, c, -4 in ascending order.
c, -4, f, 8
Let x = 5574.6 + -5569.6. Let c = -0.5 + 0.4. Let q = 373/4 - 94. Sort q, x, c in descending order.
x, c, q
Let r(l) = -l**3 + 6*l**2 - 5*l + 3. Let t be r(5). Let g(m) = 2*m**3 + 38*m**2 + 18*m - 15. Let s be g(-18). Let k = s - 305. Put t, 13, k in decreasing order.
13, k, t
Suppose 5*k - 31 + 11 = 0. Let z be (-54)/(-2) - (k + -5). Let d = z + -31. Put 1, d, 4 in ascending order.
d, 1, 4
Let i = -0.0026 + 0.4086. Let u = -0.094 - i. Suppose 4*a + 7 = -9. Sort a, u, 2/3 in increasing order.
a, u, 2/3
Suppose -4*b = -0*b + 3*r + 66, 4*b = 5*r - 82. Let w be b/(-5) + (-8)/20*-1. Sort -7, 2, w, 1 in ascending order.
-7, 1, 2, w
Let u = -116/141 - -23/47. Let l be 1 + 2/(10/(-15)). Put l, 4, u, 0.1 in descending order.
4, 0.1, u, l
Let g be 10 + 80/(4 + -12). Let z = 1 + 11. Let x = -7 + z. Put x, g, 2 in decreasing order.
x, 2, g
Let x = -0.4 + 0.4. Let t be (32 + (-2420)/75)/(4/(-6)). Sort -50, t, x in ascending order.
-50, x, t
Let n = -1063/18 + 119/2. Let t = -7.98 - -11.5. Let r = -0.52 + t. Sort n, 2/11, r.
2/11, n, r
Let p(h) = -h - 12. Suppose -2*t + 10 - 24 = 0. Let r be p(t). Sort -8, r, -4 in descending order.
-4, r, -8
Let g = -1105.0545 + 0.0545. Let x = g - -1106. Let o = -7 + 33/5. Put x, o, 0.5, -2 in descending order.
x, 0.5, o, -2
Let g = 22229 - 22234. Put -3, 7/3, g, -4, -0.3 in decreasing order.
7/3, -0.3, -3, -4, g
Let p = -2700 - -2700.5. Put -98, -4, p, 25 in decreasing order.
25, p, -4, -98
Let o = 14429 + -14430. Sort -5, -612, o in increasing order.
-612, -5, o
Let i = -9 + 0. Let n = i - -4. Let b = 5435 + -5436. Sort b, n, -3 in decreasing order.
b, -3, n
Let u = 13643 + -13646. Sort -26, u, -4.
-26, -4, u
Let y be 96/117 - (5/3 - (-46 + 47)). Sort 213, 2, y in ascending order.
y, 2, 213
Let v = -0.1 + -0.9. Let c = 0.04 - -0.46. Let h = -755 + 760. Sort v, -2/9, h, c.
v, -2/9, c, h
Let k = -167 + 95. Let m = 28875 + -202127/7. Sort k, 2/3, m in descending order.
2/3, m, k
Let t = -7.275 - -7.375. Put -3, 1, -2/13, t, 0.05 in ascending order.
-3, -2/13, 0.05, t, 1
Let d(t) = 0 - 1 + 2*t + 0 + 3. Let l be d(-3). Let h = 371 - 5567/15. Sort h, l, -1/5 in ascending order.
l, -1/5, h
Let r = -0.874 - 0.026. Let p = 2.9 + r. Let g = -1/7 - 4/21. Put p, g, -2/13, -2 in ascending order.
-2, g, -2/13, p
Let b = -0.1051 - 261.3949. Let i = 262 + b. Sort 0, -9, 3/2, i in ascending order.
-9, 0, i, 3/2
Suppose 0 = 2*l + 8, -5*l = 2*z - 3*l + 12. Let x = -5 - 7. Suppose 2*s = m - 3*s + 10, -3*s = -m - 6. Sort -3, z, x, m.
x, -3, z, m
Let i = 0.02267 + -0.01267. Put -4/3, 8, -2, i, 2 in decreasing order.
8, 2, i, -4/3, -2
Let u = -0.08289 + -4.91711. Put 1/3, -0.4, 1.1, u, -2/45 in increasing order.
u, -0.4, -2/45, 1/3, 1.1
Let n = -10.9 - -10. Let v = 5.9 + n. Suppose -75*g = -71*g + 3*y - 1, -y = 5. Put v, 3, g in descending order.
v, g, 3
Let i(n) = 2*n**2 - 32*n - 211. Let g be i(-5). Put -2, g, 2, 6 in ascending order.
-2, g, 2, 6
Suppose -101*q - 5*q - 212 = 0. Put q, 37, 2 in decreasing order.
37, 2, q
Suppose -9*l - 25 = -4*l. Let x = -12 - -21. Let d = x + -13. Sort l, 11, d.
l, d, 11
Let p = 6 + -5.9. Let l be (-2)/14 + (-8)/(-28). Let s = -2010 - -2010. Sort p, l, 5/6, s.
s, p, l, 5/6
Let l = -155 + 152. Let n = -0.2162 + 4.2162. Put l, 0.3, -2/9, n in descending order.
n, 0.3, -2/9, l
Let z = 643 - 642.6. Let p = -56 + 55. Put p, z, 0 in decreasing order.
z, 0, p
Suppose 0 = 3*b + 4*n - 10 + 3, -5*n + 15 = 5*b. Let u be (2/b)/(16/(-160)). Let a be (8*(-5)/10)/(-6). Put a, u, 2, 0.5 in descending order.
2, a, 0.5, u
Suppose -5*x = 4*f - 1 - 11, 0 = -2*x - f + 6. Let v(j) = j**2 - 7*j + 8. Let g be v(6). Let w be g + 0 + -2*1. Sort w, x, -1, -8 in ascending order.
-8, -1, w, x
Let t be (12 - (-90)/(-8)) + 30/24. Sort -220, 3, -3, 0, t.
-220, -3, 0, t
|
{
"pile_set_name": "DM Mathematics"
}
|
- 2*s**4 + 6*s**3 + 2*s. Factor i(w).
4*w*(w - 3)**2
Suppose 10*p**3 - 3*p**2 + 18*p**4 - 24*p**4 - 2*p + p**2 = 0. Calculate p.
-1/3, 0, 1
Let r be -11 - (-4 - -1) - 1. Let b be (r/(-9))/((-2)/(-6)). Factor -1/5*i**b - 3/5*i + 3/5*i**2 + 1/5.
-(i - 1)**3/5
Let p(s) = 7*s**3 + 11*s**2 - 5*s - 8. Let t be (10/(-8))/(4/16). Let v(a) = -11*a**3 - 17*a**2 + 8*a + 12. Let b(f) = t*v(f) - 8*p(f). Let b(c) = 0. What is c?
-2, 1
Let y(g) be the first derivative of -g**4/6 + g**3/3 + 2*g**2 - 2*g + 1. Let f(n) be the first derivative of y(n). Factor f(o).
-2*(o - 2)*(o + 1)
Suppose 60/11*s**2 - 50/11*s**3 - 18/11*s + 0 = 0. What is s?
0, 3/5
Factor 1/3*b**2 - 1/6*b**4 - 1/6 - 1/6*b + 1/3*b**3 - 1/6*b**5.
-(b - 1)**2*(b + 1)**3/6
Let n(j) be the second derivative of -3*j**5/5 + 32*j**4/3 - 94*j**3/3 + 36*j**2 - 2*j - 12. Factor n(b).
-4*(b - 9)*(b - 1)*(3*b - 2)
Let g(x) be the second derivative of x**5/90 + x**4/18 - x**3/27 - x**2/3 - x - 23. Suppose g(o) = 0. What is o?
-3, -1, 1
Let p = 55 - 53. Determine o so that 2/3*o**p - 4*o + 6 = 0.
3
Suppose -59*c = -48*c. Solve -4/5*f + 0*f**3 + c + 2/5*f**4 - 6/5*f**2 = 0.
-1, 0, 2
Let w be 4*(-1 + 3)/4. Suppose -c + c + 6*c**4 + 5*c**w + 6*c**3 + 2*c**5 - 3*c**2 = 0. What is c?
-1, 0
Let v(g) be the first derivative of -g**6/2 - 48*g**5/25 - 51*g**4/20 - 6*g**3/5 - 8. Suppose v(u) = 0. Calculate u.
-6/5, -1, 0
Let k(m) be the third derivative of 3*m**8/224 - 13*m**7/140 + 19*m**6/80 - 11*m**5/40 + m**4/8 + 15*m**2. Let k(o) = 0. Calculate o.
0, 1/3, 1, 2
Let t(a) be the first derivative of a**4 - 8*a**3/3 + 2*a**2 - 12. Factor t(j).
4*j*(j - 1)**2
Let r(o) be the first derivative of 5*o**6/4 - 12*o**5/5 - 3*o**4/2 + 5*o**3 - 3*o**2/4 - 3*o + 39. Let r(y) = 0. What is y?
-1, -2/5, 1
What is j in 9/7*j**4 + 0*j + 0 + 3/7*j**3 - 6/7*j**2 = 0?
-1, 0, 2/3
Let j be (-28)/(-6) + (-11)/(-33). Let a(g) be the second derivative of -1/21*g**3 + 0*g**2 - 1/70*g**j + 1/21*g**4 - 2*g + 0. Suppose a(t) = 0. Calculate t.
0, 1
Suppose 2*a - 6 = 2. Suppose -a*x - 3*f = -17, 8*f = 4*x + 3*f + 7. Suppose 4*o**4 + 5*o - 7*o + 0*o**4 + 2*o**3 - 2*o**4 - 2*o**x = 0. Calculate o.
-1, 0, 1
Solve -18*v**4 - 19*v**2 - 26*v**3 - 3*v**5 - 17*v**2 - 13*v**3 - 12*v = 0 for v.
-2, -1, 0
Suppose 13 = 4*w + 5. Let -35*j**5 - 16*j - 80*j**w - 48*j**3 - 8 + 8 + 116*j**4 = 0. What is j?
-2/5, -2/7, 0, 2
Let c = -769/3 + 257. Factor 1/3*z**2 - c + 1/3*z.
(z - 1)*(z + 2)/3
Let n = 2 + -5. Let m(k) = -8 - k**2 - k**3 - k + 8. Let t(z) = 4*z**3 + 4*z**2 + 2*z - 1. Let s(r) = n*m(r) - t(r). Find j, given that s(j) = 0.
-1, 1
Let y be 143/6 - 4/(-6). Let c = y + -24. Factor 1/2*u**2 - u + c.
(u - 1)**2/2
Let q(b) = b**4 - 5*b**3 - 10*b**2 + 4*b + 4. Let z(m) = 6*m**4 - 36*m**3 - 69*m**2 + 27*m + 27. Let d(h) = -27*q(h) + 4*z(h). Determine c, given that d(c) = 0.
-2, -1, 0
Let d(t) be the first derivative of t**6/60 - t**5/10 + 5*t**4/24 - t**3/6 + t - 3. Let g(x) be the first derivative of d(x). Factor g(o).
o*(o - 2)*(o - 1)**2/2
Let y(q) be the first derivative of q**6/16 + q**5/4 + 3*q**4/8 + q**3/4 + q**2/16 + 32. Factor y(u).
u*(u + 1)**3*(3*u + 1)/8
Suppose i = -2 + 6. Suppose -q + 20 = i*q. Determine r, given that 18*r**2 - 2 + q - 8*r**3 - 10*r - 2*r = 0.
1/4, 1
Let c = -16675/3 + 5480. Let r = 79 + c. Determine g so that -r*g + 0 + 0*g**2 + 2/3*g**3 = 0.
-1, 0, 1
Let y(m) be the second derivative of -m**6/180 - m**5/30 - m**4/12 - m**3/3 + 2*m. Let s(d) be the second derivative of y(d). Factor s(h).
-2*(h + 1)**2
Let j(n) = n**3 + 2*n**2 - n. Let x be 1/(10/(-4) - -2). Let g be j(x). Suppose -2 - g - q**2 + 7 - 2 = 0. What is q?
-1, 1
Let a(h) be the first derivative of h**4/2 - 7*h**3/3 + 2*h**2 - 3*h - 1. Let z(v) be the first derivative of a(v). Factor z(o).
2*(o - 2)*(3*o - 1)
Let w(x) be the second derivative of -x**5/40 - x**4/3 - 7*x**3/12 + 16*x. Find r, given that w(r) = 0.
-7, -1, 0
Let b(d) be the first derivative of d**7/210 + d**6/90 - 2*d**3 + 1. Let z(t) be the third derivative of b(t). Find p such that z(p) = 0.
-1, 0
Suppose -4*b + 10 = -b - 4*j, 3*j = -4*b + 5. Find k, given that -2/9*k**3 + 0*k**b + 2/9*k + 0 = 0.
-1, 0, 1
Let s be -2 + 0 + 1 + 6. Determine n, given that 0*n**3 - n**5 + 2*n**s + n**5 - 2*n**3 = 0.
-1, 0, 1
Let f(p) be the second derivative of 0 - 4*p - 1/6*p**4 + 0*p**2 + 3/20*p**5 + 1/12*p**3 - 1/15*p**6 + 1/84*p**7. Suppose f(q) = 0. What is q?
0, 1
Let m(u) = 48*u**3 + 26*u**2 - 23*u + 3. Let p(i) = -480*i**3 - 261*i**2 + 231*i - 30. Let z(o) = -21*m(o) - 2*p(o). Determine g so that z(g) = 0.
-1, 1/4
Let y(r) = -5*r**5 + 30*r**4 - 60*r**3 + 34*r**2. Let k(g) = -5*g**5 + 30*g**4 - 60*g**3 + 33*g**2. Let w(u) = -6*k(u) + 7*y(u). Let w(m) = 0. What is m?
0, 2
Let c(t) = -3*t + 20. Let k be c(5). Let j(u) be the first derivative of 0*u - 3 + 6*u**4 - 8/3*u**3 - 2*u**k + 0*u**2. What is r in j(r) = 0?
0, 2/5, 2
Let l(h) be the first derivative of h**4 + 8*h**3 + 24*h**2 + 32*h - 18. Factor l(d).
4*(d + 2)**3
Let u(h) = 5*h**2 + 2*h + 3. Suppose -2*b + 5*b = -2*s - 2, 0 = -5*b - 2*s + 2. Let x(o) = o**3 - 1. Let g(r) = b*u(r) + 6*x(r). Factor g(d).
2*d*(d + 1)*(3*d + 2)
Let o(x) = x**2 - 9*x - 9. Let q be o(10). Let s be (2/(-8)*0)/q. Let s - 1/2*m**4 + 0*m**3 + 0*m**2 + 0*m + 1/2*m**5 = 0. Calculate m.
0, 1
Let r be (-35)/(-14)*(-4)/(-5). Suppose -9*b**2 + 6*b**3 + 3*b**r - 3*b**5 + 17 + 19 - 33 + 3*b**4 - 3*b = 0. Calculate b.
-1, 1
Let q(r) be the third derivative of -1/15*r**5 + 1/168*r**8 + 0 + 0*r - 1/30*r**6 + 1/12*r**4 - 3*r**2 + 1/105*r**7 + 1/3*r**3. Solve q(i) = 0.
-1, 1
Let t(y) be the second derivative of -1/14*y**4 + 3/7*y**2 + 0 - 3/14*y**3 - 2*y. Factor t(a).
-3*(a + 2)*(2*a - 1)/7
Factor -3/2*k**3 + 0*k**2 + 9/2*k - 3.
-3*(k - 1)**2*(k + 2)/2
Factor 2 - 2*s**2 - 1/2*s**3 + 1/2*s.
-(s - 1)*(s + 1)*(s + 4)/2
Let x(l) be the second derivative of -l**6/5 + 3*l**5/20 + 9*l**4/8 + 11*l**3/8 + 3*l**2/4 - 15*l. Factor x(b).
-3*(b - 2)*(2*b + 1)**3/4
Factor 4*u**3 - 104*u**2 + 55*u**2 - 4*u - 4 + 53*u**2.
4*(u - 1)*(u + 1)**2
Suppose -4/3*u**3 + 4/3*u**2 - 4/3*u**4 + 4/3*u + 0 = 0. What is u?
-1, 0, 1
Let h = -28 - -30. Let t(v) be the first derivative of 4/3*v + 1/9*v**3 + 2/3*v**h - 1. Suppose t(x) = 0. Calculate x.
-2
Let n = 2437/3065 - -3/613. Factor -n - 2/5*f**3 - 2*f - 8/5*f**2.
-2*(f + 1)**2*(f + 2)/5
Let d = -112 + 114. Let z(f) be the first derivative of -2*f**3 + 1/2*f**6 + 9/5*f**5 + 3/2*f**4 - 9/2*f**d - 3 - 3*f. Factor z(j).
3*(j - 1)*(j + 1)**4
Let m = -10 + -6. Let a = m + 18. Factor 2/7*i**a + 0*i + 0.
2*i**2/7
Let b(a) be the first derivative of a**4/12 + a**3/2 + 4*a - 3. Let m(c) be the first derivative of b(c). Determine h, given that m(h) = 0.
-3, 0
Let x = -12 + 14. Factor 5*j**x - 45*j**3 + 49*j**3 - 4*j - j**2 - 4.
4*(j - 1)*(j + 1)**2
Let z be ((-104)/65)/(-3*(-2)/(-10)). Determine s so that 2/3*s**2 + 8/3*s + z = 0.
-2
Let w = -3 - -6. Factor -m + 2*m**w + 3*m - 2*m - m**2.
m**2*(2*m - 1)
Let y(d) be the second derivative of -11*d**4/30 - 23*d**3/15 - 12*d**2/5 - 2*d + 5. Factor y(m).
-2*(m + 1)*(11*m + 12)/5
Let k = 9 - 4. Let o(h) be the first derivative of -8/5*h**k + h**2 - 8/3*h**3 + 1/3*h**6 + 3*h**4 + 0*h + 1. Solve o(n) = 0 for n.
0, 1
Let n(z) be the first derivative of -4*z**5/25 - 3*z**4/10 - 2*z**3/15 + 4. Solve n(o) = 0.
-1, -1/2, 0
Let l be ((4 + -1 + -3)/(-3))/(-1). Determine g so that -4/9*g + 10/9*g**2 + l - 8/9*g**3 + 2/9*g**4 = 0.
0, 1, 2
Let q(v) be the first derivative of 4/7*v**2 - 1 + 12/35*v**5 + 13/14*v**4 + 1/21*v**6 + 8/7*v**3 + 0*v. Factor q(f).
2*f*(f + 1)**2*(f + 2)**2/7
Let x(j) = -j**4 - j**3 + 8*j**2 - 6*j - 6. Let i(w) = -w**2 + w + 1. Let k(c) = -6*i(c) - x(c). Let k(v) = 0. Calculate v.
-2, 0, 1
Let f(a) be the second derivative of a**9/6048 - a**7/840 + a**5/240 - a**3/2 - a. Let u(w) be the second derivative of f(w). Factor u(k).
k*(k - 1)**2*(k + 1)**2/2
Let h(g) = -2 + 4 - 5 - g. Let m be h(-6). Let l**2 - 4 + l**m + 4 = 0. What is l?
-1, 0
What is r in -2/7*r + 0 - 6/7*r**2 - 4/7*r**3 = 0?
-1, -1/2, 0
Let v be (1 + (-1)/(-5))*1. Let y(l) be the second derivative of 0 + v*l**3 + 2*l - 27/20*l**4 - 2/5*l**2. Factor y(x).
-(9*x - 2)**2/5
Let k be 2*4/8*27. Let y = 27 - k. Determine r, given that -1/3 + 1/3*r**2 + y*r = 0.
-1, 1
L
|
{
"pile_set_name": "DM Mathematics"
}
|
19 - 22)*(14 - 14 + 5*g)) to t + n*g and give n.
142
Express -17*p - 4 + 57*p**4 + 0*p**2 + 0 + p**2 - 28*p**4 - 31*p**4 as j*p + u + w*p**4 + t*p**2 + v*p**3 and give w.
-2
Express -9*y**4 + 2*y**2 - 1 - 5*y**3 - 84*y + 0*y**2 + 8*y**4 - 6*y as z*y**4 + i*y + g*y**3 + j + l*y**2 and give z.
-1
Express (4 + 11 + 3)*(-2*v + v + 0*v)*(19*v**2 - 14*v**2 + 90*v**2) in the form w + m*v + c*v**3 + b*v**2 and give w.
0
Express (3 + 0 - 1)*(9 - 6 - 1)*(-4*t + 9*t - 12 - 7*t)*(-3*t + t + 0*t)*(-5*t + 6*t + 2*t) in the form g + z*t**2 + p*t + c*t**3 and give c.
48
Rearrange -3*z**3 + 21859*z**2 + 2 + 207*z - 21860*z**2 + 2*z**3 - 2*z**4 - 2*z**3 to q + x*z + c*z**3 + s*z**4 + f*z**2 and give x.
207
Rearrange -6792*b**3 + 19 + 5*b + 3389*b**3 + 3409*b**3 to s*b**2 + f*b + c + l*b**3 and give c.
19
Express 43077 - 1820*q - 21538 - 21539 in the form u*q + g and give u.
-1820
Rearrange (v - 3*v + 3*v)*(8553 - 8553 - 5974*v**2) to the form j + y*v**3 + c*v**2 + n*v and give y.
-5974
Rearrange (-79*y**3 - 35*y**4 + 79*y**3)*(-3 - 21 + 3)*(12 - 11 - 6) to the form m + g*y + u*y**3 + n*y**4 + o*y**2 and give n.
-3675
Rearrange 8 - 20 + 2036*l - 1 + 1 + 11 to the form x + q*l and give x.
-1
Express -5*h - 399*h**3 + 50*h**2 - 2*h**4 + 3*h**2 + 4*h**4 - 54*h**2 as f*h**4 + k*h + m*h**3 + v*h**2 + d and give f.
2
Rearrange (-5 - 1 - 3 + (-5 + 1 + 3)*(0 + 9 - 5) + 6 + 1 + 1)*(2*r**2 - 2*r**2 - r**2) to f*r + a + h*r**2 and give h.
5
Rearrange 7*y**2 + 3657*y**3 - 7324*y**3 + 3648*y**3 to g*y**2 + v*y**3 + w + o*y and give v.
-19
Rearrange 2*t - 1244 - 61*t**2 + 41*t**2 + 1241 to j*t + h + l*t**2 and give h.
-3
Express 4*a**2 - 4*a**3 - 25401*a + 5*a**3 + 33 + 25403*a as b*a + x*a**2 + g + z*a**3 and give x.
4
Rearrange -16*m**3 - 2*m + 2 + 21*m**2 + 5*m**4 - 16*m**3 - 18*m**2 + 10*m**3 to w*m**2 + k*m**4 + f*m + u + h*m**3 and give w.
3
Express 22*i - 14*i - 9*i + 17*i**2 + 31*i**2 in the form m*i + o + v*i**2 and give m.
-1
Express -31*u**2 - 75*u**2 - 2*u**2 + 2 + (7 + 35*u - 7)*(0*u - 2*u + u) as y*u + m*u**2 + k and give k.
2
Rearrange -3*d - 3 - d - 13629*d**3 + 13628*d**3 + 49*d**2 + 2*d to z*d**2 + t + k*d**3 + g*d and give z.
49
Rearrange o**3 + 0 + 0 + (0 + 0 + 2*o)*(4 - o**2 - 4) + 19 + 32*o**3 + 7*o**3 - 22 to i*o**3 + q + h*o**2 + n*o and give i.
38
Rearrange (7*l**4 + 8*l**4 - 3*l**4)*(255 - 28 - 221 + 490 + 505) to the form u*l**3 + b*l**4 + z*l + m*l**2 + g and give b.
12012
Rearrange (18*u - 6*u - 10*u)*(9 - 9 + 5) - 3*u + 5*u + 0*u to the form b + n*u and give b.
0
Rearrange -557*h**2 + h + 982*h**2 + 1081*h**2 + 1232*h**2 to u*h + z + b*h**2 and give b.
2738
Express 5*d - 2*d - 10*d + (-3*d - d + 5*d)*(1 + 1 - 1) + 3 - d - 3 + (81 - 63 + 134)*(0 + 3 - 2)*(-4 + 4 - 3*d) in the form w*d + i and give w.
-463
Rearrange (7*n - 3*n + 9*n)*(177*n - 19*n**2 - 177*n) + 37*n**3 + 3887*n - 3887*n to f*n + s*n**2 + l + a*n**3 and give a.
-210
Rearrange 87 + 11*j + 49 - 8*j + 7 + j**2 to the form p + f*j + h*j**2 and give f.
3
Rearrange -81*p + 14*p**3 + 0*p - 7*p**2 + 30*p - 15*p**3 to the form f*p**2 + c*p**3 + o + b*p and give b.
-51
Express 15*t**2 - 5*t**2 + 23*t**2 + (-t + 0*t - 4*t)*(-20 + 20 + 2*t) + 4*t - 4*t + 2*t**2 as n*t**2 + m*t + l and give n.
25
Express 3143 + 124*u**3 + 22*u**4 + 3139 + u - 6282 - 43*u**3 as j + h*u**3 + k*u**2 + w*u + s*u**4 and give s.
22
Rearrange 35*o + 10*o**4 - 14*o**4 - 40*o**4 + o**4 - 25*o**4 - 3*o**2 to the form l*o**3 + q*o**4 + m*o**2 + d*o + v and give q.
-68
Express (-4 - 5 - 9)*(-114*w**4 - 235*w**4 - 304*w**4) as p*w + m + t*w**3 + v*w**2 + s*w**4 and give s.
11754
Rearrange (10*g**2 - 9*g**2 + 0*g**2)*(26*g + 107*g + 155*g - 40*g - 1) to the form x*g**2 + k*g**3 + j*g + d and give x.
-1
Express -447*i**2 + 64 - 64 - 404*i**2 as h*i**2 + c + o*i and give h.
-851
Express 0*u - 5*u - 64 + 2*u**3 - 54*u**4 + 65 + 53*u**4 + 7*u - 642*u**2 in the form x*u**4 + t*u + c*u**3 + v + n*u**2 and give v.
1
Express 115*q**2 + 179*q**2 - 24*q**2 + (3*q + 2*q - 6*q)*(-2*q - q - q) + (-3*q + 3*q + q**2)*(2 + 1 - 1) in the form j*q**2 + l*q + g and give j.
276
Rearrange 2*x**4 + 6*x**2 + 1507*x**3 + 12 - 5*x**2 - 1503*x**3 to the form s*x**2 + j*x + m*x**4 + a + y*x**3 and give s.
1
Rearrange (-65*x - 52*x - 123*x)*(-43*x + 20*x + 27*x + 1) to t*x + c*x**2 + k and give t.
-240
Express -2*z**4 + z + 10*z**2 + 36712 + 3*z**4 - 36713 in the form b*z**4 + j*z**2 + t*z**3 + o*z + n and give j.
10
Rearrange -a + 0*a + 3*a + (-3 + 1 + 1)*(0*a + 4*a - 6*a) + 2*a - 9*a - 24*a + 62*a + 24*a + 80*a to the form h + l*a and give l.
139
Express -5873771 - 10944*i**2 + 5873771 as w*i**2 + o*i + r and give r.
0
Rearrange -5168*k - 7589*k + 6229*k to o*k + x and give o.
-6528
Rearrange (-862*h**2 + 4048*h**2 + 2352*h**2)*(-4 + 3 + 3) to the form j*h + o*h**2 + a and give o.
11076
Express -7*k**2 - 47 + 9*k**3 - 20 - 140*k**3 - 30 + 128*k**3 as z + p*k + f*k**2 + l*k**3 and give f.
-7
Rearrange -t**2 + 0*t**2 + 12*t**2 + (-2*t + 6*t - 3*t)*(199 - 83*t - 199) to m*t + v*t**2 + h and give h.
0
Rearrange 2858*z**2 - z**4 - 1 - 2 - z**3 + 14*z - 2857*z**2 to the form u*z**2 + x*z**4 + i*z + g + p*z**3 and give i.
14
Rearrange (27 - 83*o + 40 + 13*o - 34)*(-15 + 7 + 4) to q*o + k and give q.
280
Express -4*i**2 + 2328*i - 2 - 4648*i + 2318*i + 2*i**2 + 634*i**3 as b*i**3 + v*i + m + h*i**2 and give v.
-2
Express 53 - 4*o + 380 - 896 in the form v*o + u and give u.
-463
Express 22 - 106 - 2*m - 4 as g*m + o and give g.
-2
Express -o + 31 + 0*o - 88*o**2 + 173*o**2 + 0*o - 87*o**2 + 13*o**4 + o**3 in the form k*o + j*o**3 + x*o**2 + h*o**4 + l and give l.
31
Rearrange -4*b**3 - 4*b**3 + 5*b**3 + 3*b**3 - 5*b**3 + 4*b**3 + (-b**3 - 2 + 2)*(-553 + 1612 + 238) to w*b + n*b**2 + z + a*b**3 and give n.
0
Rearrange -11828*d + 11619*d**2 + 11828*d to the form v*d**2 + i + k*d and give v.
11619
Express -347171*b + 2*b**3 + 347171*b + 2*b**4 + 1084*b**2 in the form v + s*b**2 + l*b**4 + y*b + p*b**3 and give s.
1084
Express -40*j**2 + 17*j**3 - 12*j**4 + 39*j**2 - 92*j + 91*j in the form w*j**4 + a*j + i*j**3 + x + t*j**2 and give i.
17
Express 253*v**3 + v + 249*v**3 - 453 - 500*v**3 + v as b*v + f*v**3 + o + s*v**2 and give f.
2
Rearrange -1367*k**2 - 3*k - 42*k - 282*k**2 + 46*k - 5*k to the form p*k + a*k**2 + g and give a.
-1649
Rearrange -3380 + 6764 + 7135*o - 3384 + 21812*o to the form n*o + v and give n.
28947
Rearrange 5 + 2*f + 0*f**2 - 4 - 4*f**2 + 180*f**3 + f**2 - 178*f**3 to the form v*f**3 + d*f**2 + x*f + r and give d.
-3
Express 1652 + 2*r + 885 + 2566 - 1277 - 3*r as x*r + v and give v.
3826
Express -3*z**2 - z**2 - 2696 - 478 - 329 - z**2 in the form x*z + r + v*z**2 and give v.
-5
Rearrange (-21*y**2 - 77*y**2 - 21*y**2)*(14 - 17 - 4 - 23*y) to g*y + c*y**2 + p + d*y**3 and give d.
2737
Rearrange 6*w**3 + 4*w**3 - 3*w**3 + (9*w**3 + 31*w**3 - 4*w**3)*(-1 + 3 - 1) to the form j*w**2 + o + a*w + u*w**3 and give u.
43
Express 208 + 2026*m - 409 + 201 as p*m + s and give p.
2026
Express -922806*n**4 + 78*n**2 + 922804*n**4 + 3*n**3 + 81*n**3 as g*n**4 + a*n**3 + u*n + s*n**2 + i and give a.
84
Rearrange -147*b - 1289*b + 235*b to the form a + x*b and give x.
-1201
Express (-m**2 - 2*m**2 + 5*m**2 - m)*(-3*m + 2418 - 2418) + (52*m**2 + 49*m**2 - 118*m**2)*(m - 2 + 0 - 1) in the form i*m + q + y*m**2 + b*m**3 and give b.
-23
Express 28*b - 154 - 122*b + 158 - 158*b - 300*b as l*b + q and give q.
4
Rearrange 14*u**3 - 82503*u**2 + 2*u + 0 + 0 - u**4 - 12*u**3 + 82175*u**2 to the form d + r*u**4 + t*u**2 + h*u + k*u**3 and give r.
-1
Express 2*m - 69*m**3 - 2*m**4 + 72 - 65 + m**2 + 0*m in the form l*m**4 + p*m**3 + b*m + r*m**2 + h and give p.
-69
Rearrange -3 + 3*r**4 + 3 + (-49*r + 3*r - 56*r)*(r**3 - 4*r**3 + 6*r**3) to x*r**3 + a + w*r**4 + c*r**2 + q*r and give w.
-303
Rearrange 22*a - 1 + 2 - 1 + a - 3*a + 0*a + (-2 - 1 - 4)*(2*a - 7*a + 3*a) + (0*a - a - a)*(1 - 1 + 3) to the form z + s*a and give s.
28
Express (0 + 0 + 3*j)*(166 + 126*j**2 - 115 - 3*j - 46) in the form n*j**3 + h + q*j + x*j**2 and give q.
15
Rearrange (0*y**3 + 0*y**3 - 6*y**4)*(11 + 5 - 7)*(0 + 0 + 3)*(-20 + 5 - 13) to m*y**4 + n*y + o*y**2 + k + p*y**3 and give m.
4536
Rearrange 11*q**2 + 1 + 2*q**3 + 16*q**2 - 25*q**2 - q**2 - 2*q + 17*q**2 to the form a*q**3 + l
|
{
"pile_set_name": "DM Mathematics"
}
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) = 2*i**2 - 19*i + 4. Let o be y(9). Let n(d) = -3*d + 4. Calculate o*p(k) + 2*n(k).
4*k - 2
Let i(z) = 13*z - 1. Let l(m) = 11*m - 1. Determine 3*i(w) - 4*l(w).
-5*w + 1
Let s(r) = -4*r + 4. Let q(g) = -2*g - 3. Let j(n) = n + 1. Let t(h) = 5*j(h) + 2*q(h). Let f be (-32)/5 - 6/(-15). Determine f*t(b) - 2*s(b).
2*b - 2
Let s(y) = y - 10*y**2 + 19*y**2 - 3*y - 3*y**2. Let p(j) = -7*j**2 + 3*j. What is 2*p(i) + 3*s(i)?
4*i**2
Let o(r) = -18. Let d(f) = f - 20. Calculate -2*d(m) + 3*o(m).
-2*m - 14
Let l(t) = 8*t**2 - 106*t + 13. Let k(b) = -2*b**2 + 26*b - 3. Calculate -9*k(j) - 2*l(j).
2*j**2 - 22*j + 1
Let h(d) = 14*d + 2 - 18*d - d. Suppose -3*y = -3 - 3. Let i(m) = 16*m - 6. What is y*i(n) + 7*h(n)?
-3*n + 2
Let a(h) = -3*h**3 + 9*h**2 + 2*h - 7. Let v(z) be the third derivative of z**6/120 - z**5/12 - z**4/24 + 2*z**3/3 + 149*z**2 - z. What is -4*a(d) - 7*v(d)?
5*d**3 - d**2 - d
Let b(l) = -l**3 - 2*l**2 + 4*l - 2. Let n(m) = -m**3 + m - 1. Let k = -242 + 244. Determine k*n(o) - b(o).
-o**3 + 2*o**2 - 2*o
Suppose 2*x = -4*m + 6, -x - 9 = -5*m + m. Let t(l) = l + 16 - 16. Let q(p) = 2*p - 70. Let h(r) = -r + 29. Let f(k) = -12*h(k) - 5*q(k). Give x*f(g) + 4*t(g).
2*g - 2
Let d(y) = -3. Let z(g) = 170*g - 14. What is 5*d(t) - z(t)?
-170*t - 1
Let d(p) = 60*p**3 - 27*p**2 - 27. Let j(i) = i**3 - i**2 - 1. Determine -2*d(n) + 54*j(n).
-66*n**3
Let p(r) be the third derivative of -r**4/3 - r**3/3 - 1829*r**2. Let b(n) = -6*n. Let s(g) = 7*g. Let a(k) = -6*b(k) - 5*s(k). Calculate -5*a(c) - p(c).
3*c + 2
Suppose 0 = 2*t - 6 + 2. Suppose -3*o - 2184 = -15*o. Let y(x) = 183*x + 0 - o*x - 1. Let z(p) = 1. Determine t*y(k) + z(k).
2*k - 1
Let h(t) = -373*t**2 + 39*t - 3. Let l(a) = -371135*a**2 + 38792*a - 2984. Determine -2984*h(b) + 3*l(b).
-373*b**2
Let r(k) = -12*k + 4. Let b(j) = 36*j - 12. Give -3*b(p) - 8*r(p).
-12*p + 4
Let o(q) = -15*q - 13. Let u = -11 - -18. Let b(w) = 1 - 4 - 3 - u*w + 0. Let n = 36 + -23. What is n*b(s) - 6*o(s)?
-s
Let b = 66 - 62. Let n(c) = -2*c**2 + 5*c + 3. Let x(j) be the second derivative of j**3/6 + j**2/2 + 5*j. Give b*x(r) - n(r).
2*r**2 - r + 1
Let q be (6/7)/(3/(-21)). Let j(n) be the second derivative of -n**3/3 + 317*n. Let s(l) = 0*l + l + l. What is q*s(z) - 5*j(z)?
-2*z
Let n(l) = -l**2 - 4*l + 1. Let x(r) = 12*r**2 + 21*r - 2. What is 6*n(y) + x(y)?
6*y**2 - 3*y + 4
Let w(m) = 3*m**3 + 4*m**2 - m + 31. Let q(s) = s**3 + 2*s**2 + s. Give -2*q(l) + w(l).
l**3 - 3*l + 31
Let h(u) = 10*u**2 + 4*u - 1. Let x(i) = -9*i**2 - 4*i + 1. Calculate -5*h(n) - 6*x(n).
4*n**2 + 4*n - 1
Let x(g) = 41497*g**2 - 850*g - 85. Let l(d) = 1482*d**2 - 30*d - 3. What is 85*l(r) - 3*x(r)?
1479*r**2
Let i(q) = q**2 - 1. Let z(m) = 2*m**3 - 7*m**2 + 7. Let k be -2 - (1/(-1 - -2) + -4). What is k*z(x) + 5*i(x)?
2*x**3 - 2*x**2 + 2
Let z(v) = v**3 + v + 1. Suppose -3*w + 6*w - 9 = -5*q, -q = 0. Let b(x) = -x**3 - x**2 - 3*x - 3. Determine w*z(a) + b(a).
2*a**3 - a**2
Let g(r) = -2*r**3 + 2*r**2 - 9*r + 8. Let o be g(1). Let a(i) = -i**2 + 4*i**3 + 0*i**2 - 5*i**3. Let s(m) = -3*m**3 - 6*m**2. Determine o*s(y) + 6*a(y).
-3*y**3
Let w(n) = 4*n - 3. Let u(m) = 2*m - 2. Let h = -721 + 727. What is h*w(q) - 11*u(q)?
2*q + 4
Let d(s) = -s. Let b = -618 + 619. Let x(z) = -z - 1. What is b*x(k) - 3*d(k)?
2*k - 1
Let y(c) = 7*c**2 + 4*c - 13. Let x(l) = -26*l**2 - 6*l + 21. Let k(n) = 8*n**2 + 2*n - 7. Let f(a) = 7*k(a) + 2*x(a). Give 5*f(v) - 3*y(v).
-v**2 - 2*v + 4
Let d(q) = 1102*q**3 - 3. Let p(t) = -t**3 - 1. What is d(f) - 3*p(f)?
1105*f**3
Let l(q) = 5*q**2 + 6*q - 1. Let n(t) = t**2 - 2*t. Determine -l(m) - 3*n(m).
-8*m**2 + 1
Suppose -11*o + 162 = -2*o. Let c(z) = 32 - 18 + z - o. Let t(b) = b - 7. Let r(k) = -2*k + 15. Let f(v) = -4*r(v) - 9*t(v). Calculate 5*c(i) + 7*f(i).
-2*i + 1
Let i(r) = 9*r + 2*r + 2880 - 4*r - 2872. Let l(h) = 6*h + 7. What is 5*i(a) - 6*l(a)?
-a - 2
Let v(b) = 105*b**3 + 20*b**2. Let h(t) = -t**3 + t**2. Give -100*h(o) + 5*v(o).
625*o**3
Let z(m) be the first derivative of -1/3*m**3 - 12 + 5/2*m**2 - 5*m. Let n(o) = -o + 1. Calculate 15*n(i) + 3*z(i).
-3*i**2
Let v(f) = 4*f - 5*f + 2*f. Let o(j) = 6*j - 25. Let c(w) = -5*w + 20. Let u(n) = 5*c(n) + 4*o(n). What is 2*u(p) + 6*v(p)?
4*p
Let k(j) = 104 + 116 - 330 + 109. Let i be 2/9 + 28/36. Let x(r) = 2*r**2 + r - 1. Let c = -12 + 8. Give c*k(g) + i*x(g).
2*g**2 + g + 3
Let i(x) = -3*x + 3. Let v(w) = 4*w - 4. Let c(h) = -7*i(h) - 5*v(h). Let l(s) = 6*s - 6*s - 6 + 5*s + 1 + s. Determine 11*c(b) - 2*l(b).
-b - 1
Let k(r) = r**2 + 1. Let s(u) = -89*u**3 - u**2 + 2*u - 2. What is 2*k(t) + s(t)?
-89*t**3 + t**2 + 2*t
Let m(w) = -31*w**2 + 9*w**2 + 24*w**2. Let k(q) = -q**2 + q + 1. Give k(g) + m(g).
g**2 + g + 1
Let l(k) = -3*k**3 - 4*k**2 - 109. Let q(o) = -o**3 - o**2. Determine -l(p) + 4*q(p).
-p**3 + 109
Let j(c) = -111*c - 2. Let z(d) = 2*d + 1. Give j(k) + 3*z(k).
-105*k + 1
Let r(j) = -6*j**3 + 12*j**2 - 8*j - 8. Let b be (-27)/3 + 6 + 8/1. Let k(d) = 4*d**3 - 8*d**2 + 5*d + 5. What is b*r(p) + 8*k(p)?
2*p**3 - 4*p**2
Let j(h) = -6152*h + 0 + 6153*h - 4. Let d(t) = 3*t + 9. Let x(q) = q + 4. Let v(s) = -2*d(s) + 5*x(s). Calculate -3*j(c) - 5*v(c).
2*c + 2
Suppose q + 5 = -0. Let y(r) = 8*r**3 - 2*r**2 - 4*r - 6. Let d(k) = 5 - 3*k + 10*k - 8*k**3 - 2*k**3 + 2*k**2 - 4*k + 3*k**3. Calculate q*y(w) - 6*d(w).
2*w**3 - 2*w**2 + 2*w
Let i(g) be the second derivative of g**3/2 + 3*g**2 - 16*g. Let o(d) be the second derivative of -d**2/2 - 3*d. What is i(h) + 5*o(h)?
3*h + 1
Let b = 339 - 284. Let l(u) = -242*u**3 - 55*u**2 - 55*u - 55. Let j(z) = -9*z**3 - 2*z**2 - 2*z - 2. What is b*j(t) - 2*l(t)?
-11*t**3
Let b(z) = z**3 - z**2 + z. Let n(c) = -c**3 - 9*c**2 + 6*c - 3. Let l(a) = 2*a**3 + 25*a**2 - 17*a + 8. Let u(t) = 3*l(t) + 8*n(t). Calculate -8*b(o) - 3*u(o).
-2*o**3 - o**2 + o
Let b(g) = 133*g + 56. Let t(u) = 7*u + 3. Suppose 112 = 3*c + 4*a - 68, 68 = c + 4*a. What is c*t(z) - 3*b(z)?
-7*z
Let h(n) be the first derivative of 3*n**2 + 2. Let f(r) = 5*r + 2*r - 2*r - 8*r + 4*r. Determine f(i) - h(i).
-5*i
Let i(n) = -38 + 18 - n - 5*n**2 + 24. Let l(v) = -6*v**2 - v + 5. Calculate -5*i(s) + 4*l(s).
s**2 + s
Let g(w) = -2*w**2 - 2*w - 1. Let q(b) = 2*b**2 - 8*b - 6. Calculate g(s) - q(s).
-4*s**2 + 6*s + 5
Let k(t) = -26*t + 10. Let j(y) = 5*y + 1. Calculate -6*j(o) + k(o).
-56*o + 4
Let x(j) = 306*j**2 + 153*j + 153. Let m(y) = -y**2 - y - 1. Calculate 765*m(s) + 5*x(s).
765*s**2
Let c(m) = 13*m + 12. Let g(b) = 16*b + 11. What is -4*c(w) + 5*g(w)?
28*w + 7
Let q(u) = -28*u - 208. Let y(t) = -13*t - 104. What is 6*q(l) - 13*y(l)?
l + 104
Let n(l) = 64*l**2 + 6*l + 5. Let g(q) = 64*q**2 + 7*q + 7. Determine 3*g(w) - 4*n(w).
-64*w**2 - 3*w + 1
Let o(z) = -11*z**2 - 37*z - 70. Let g(w) = -2*w**2 - 9*w - 17. Give -9*g(i) + 2*o(i).
-4*i**2 + 7*i + 13
Let d(g) be the second derivative of -g**3/6 - g**2/2 + g. Let c(o) = 6*o + 3. Let u = -32389 - -32391. Give u*d(j) + c(j).
4*j + 1
Let h(u) = -9*u**3 - 15*u**2 - u + 1. Let s(k) = k**3 - 2*k**2 + k - 1. Give -h(f) - s(f).
8*f**3 + 17*f**2
Let l(p) = -9*p + 2. Let u(c) = -20*c + 7. Let m(y) = -y + 2. Let f(o) = -m(o) + u(o). Determine 4*f(x) - 9*l(x).
5*x + 2
Let c(q) = -q**3 + q + 1. Let d(m) = 68*m**3 - m**2 + 4*m + 4. Give -4*c(k) + d(k).
72*k**3 - k**2
Suppose 4*f + 7*f = 22. Suppose 6*a + 52 = f*a. Let x(y) = y + 2*y + 8 - 2*y. Let c(i) = -2*i - 17. Calculate a*x(n) - 6*c(n).
-n - 2
Let l(x) = x**3 - x - 1. Let t(w) = -6*w**3 - w**2 + 5. Give -2*l(c) - t(c).
4*c**3 + c**2 + 2*c - 3
Let f(z) = -4*z**2. Let d be 3 + -6 + (1 - -1). Let p = -10 + 12. Let a(w) = -10 - w**p + 10. What is d*f(y) + 3*a(y)?
y**2
Let d(b) = -37*b + 3. Let f(l) = 10*l - 1. What is -6*d(j) - 22*f(j)?
2*j + 4
Let o(w) = 495*w + 95. Let k(g) = 124*g + 23. Determine -25*k(u) + 6*o(u).
-130*u - 5
Let i(a) = 13*a**2 + 13*a + 9. Let y be (-23)/4 - (-73 + 67). Let x(m) be the second derivative of -m**2 - y*m**4 + m + 0 - 1/2*m**3. Determine 2*i(v) + 9*x(v).
-v**2 - v
Let x(u) = 242*u + 55. Let o(w) = 232*w + 21. Let h(j) = -43*j - 4. Let c(z) = 11*h(z) + 2*o(z). Determine 55*c(g) + 2*x(g).
-11*g
Let k(r) = 2*r**3 + r + 8. Let n(i) = 1. Suppose -90*q + 242 + 208 = 0. What is q*n(z) - k(z)?
-2*z**3 - z - 3
Let z(t) = 1. Let s(b) = -4*
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{
"pile_set_name": "DM Mathematics"
}
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Let z = 106 - s. What is the highest common factor of z and 30?
6
Let d(f) = f**2 - 6*f - 5. Let n be d(7). Let s = 22 - 20. Calculate the highest common divisor of s and n.
2
Let o = 4 + -4. Suppose o = n + 2. Let v be (-69)/(((-4)/n)/(-2)). What is the highest common factor of 23 and v?
23
Let f(p) = -p**2 + p - 1. Let j(r) = r**3 - r**2 - 2*r + 2. Let g(l) = -6*f(l) - j(l). Let b be g(4). What is the greatest common factor of 24 and b?
12
Let w = 1151 - 821. What is the highest common factor of 66 and w?
66
Let k = 14 + 18. Let d = -1772 - -1804. What is the greatest common factor of k and d?
32
Suppose 683 = 27*m - 721. Calculate the highest common factor of 65 and m.
13
Suppose 875*o - 854*o - 231 = 0. Calculate the highest common factor of 16 and o.
1
Let d(n) = 39*n - 368. Let q be d(10). Let p = 0 + 2. Calculate the highest common divisor of p and q.
2
Suppose -4 = 3*b - 10. Suppose -2*m - 38 = -4*l, b*m + m = -3. What is the greatest common factor of l and 72?
9
Let p(a) = a**3 + 15*a**2 + a + 15. Let g be p(-15). Let f be 60/24*(g + 22). What is the highest common factor of f and 11?
11
Suppose 0 = -76*w + 218 - 66. Calculate the greatest common divisor of w and 59.
1
Let t = -516 + 533. What is the highest common factor of 51 and t?
17
Let v = 183 + -8. What is the highest common factor of v and 35?
35
Suppose 0 = -5*i + 2*i - l + 38, -2*i + 4*l + 16 = 0. Suppose -i = 14*j - 15*j. Calculate the highest common divisor of j and 204.
12
Let t be (-1)/(33/9 - 4). Suppose 20 = 4*z - 3*p + p, -t*z - 5*p - 11 = 0. Calculate the highest common factor of 3 and z.
3
Let n(b) = -7*b - 45. Let p be n(-7). Suppose -542 = 6*w - 11*w + q, -p*q + 424 = 4*w. Calculate the greatest common divisor of w and 81.
27
Let k be 39/10 + (-1)/(-10). Let j be (1 + k/(-3))*-3*55. Suppose 0 = 6*c - c - 55. What is the greatest common divisor of j and c?
11
Let u(z) = 3*z - 4. Let n be u(3). Let k(f) = -f**2 + 8*f - 10. Let g be k(n). Suppose j - 24 = -g. What is the greatest common factor of 152 and j?
19
Let d(u) = 18*u**2 - u + 1. Suppose 5*k - 23 = -m, 26 = m + m + 5*k. Let t be d(m). Calculate the greatest common factor of 40 and t.
40
Let w(j) be the first derivative of 6*j**4 - j**3/3 - j**2/2 + 5. Let v be w(-1). Let a be (-16)/v - (-133)/3. What is the greatest common factor of a and 5?
5
Suppose -72 = 3*f - 12*f. Calculate the greatest common factor of f and 18.
2
Let r(c) = -c**2 - 6*c + 1. Suppose -46 = 5*i - 16. Let y be r(i). Suppose -54*o + 56*o - 18 = 0. Calculate the highest common divisor of y and o.
1
Let j(s) = s**2 - 3*s - 7. Let t be j(5). Suppose -5*g - 2*x + 38 = -20, t*g - 50 = -5*x. Let p be (g/3)/(2/27). What is the highest common divisor of 5 and p?
5
Let t be (-18436)/(-242) + 4/(-22). What is the highest common factor of 19 and t?
19
Suppose 3*s - 9 - 15 = -3*x, 5*s + 20 = 0. Let c = 21 - 18. Suppose -5*g = o - 2*o - 662, -c*o + 522 = 4*g. What is the highest common divisor of g and x?
12
Let o(u) = -7*u - 1. Let r be o(2). Let q = r - -27. Let i be 72/((9 + 1)/5). What is the greatest common factor of i and q?
12
Let x be (-2681)/(-35) + -6*3/30. Calculate the highest common divisor of 190 and x.
38
Suppose 0 = m + 2*n - 0*n - 26, -3*m = 3*n - 63. Suppose f = m + 29. Calculate the greatest common factor of f and 5.
5
Let x(y) = 12*y**3 - 1 + 13*y**3 + 2*y + y**2 - 18*y**3. Let t be x(3). Suppose 0 = -3*n + 283 + t. What is the highest common divisor of 18 and n?
18
Suppose -4*d + w = -310, -3*d + 0*d + 226 = -4*w. What is the highest common factor of d and 30?
6
Suppose -2*s + 15 = s. Suppose 4*i = -n + 30, -3*n - s*i = -42 - 13. Calculate the highest common factor of n and 70.
10
Let t = 52 + -28. Let i be (-80 - 0/((-4)/(-1))) + -2. Let l = -66 - i. What is the highest common divisor of l and t?
8
Suppose 5*x = x + 64. Suppose -2 + x = 2*q. What is the highest common factor of 35 and q?
7
Suppose -j + 8 = -7. Let s(d) = -d**3 - 8*d**2 - 9*d + 1. Let c be s(-7). Let g be ((-6)/c)/1*-150. Calculate the greatest common divisor of j and g.
15
Let l(u) = 3*u**2 + u - 2. Let d be l(1). Suppose 0*z - 3*z = -4*j + 77, d*j + 2*z - 42 = 0. What is the greatest common divisor of j and 10?
10
Let f be 6*(20/3 - 2). What is the greatest common factor of 4 and f?
4
Suppose z + 16*i - 390 = 13*i, -i = -3*z + 1150. Suppose 0*q + 48 = q. What is the greatest common divisor of z and q?
48
Suppose -2*q + 35 = 3*q. Suppose 8*z - q*z - 18 = 0. What is the greatest common divisor of 54 and z?
18
Let a be (-33 + 30)/((-9)/1716). Calculate the greatest common divisor of a and 44.
44
Suppose 11*c = -3*c + 8806. What is the highest common factor of 51 and c?
17
Let t be (-96)/(-1) - (8 + 0 - 5). What is the greatest common divisor of 124 and t?
31
Let p be (14/(-3) + 2)*-33. Let o(f) = 2*f**2 + 14*f + 22. Let a be o(0). Calculate the highest common divisor of p and a.
22
Suppose 2*h - 36 = -4*w, w + 0*h + 2 = 5*h. Suppose 24 = 9*u - 6*u. Calculate the greatest common divisor of u and w.
8
Let u(n) = -39*n - 36. Let c be u(-3). Let r = -9 + 36. What is the greatest common divisor of r and c?
27
Let i be (-5)/1*2/5. Let c(m) = 4 - 4*m**2 - 4*m**3 - m - 2 + 2*m**3. Let p be c(i). Calculate the highest common divisor of 36 and p.
4
Let l(j) = 6*j**2 - 32*j + 142. Let i be l(4). Calculate the highest common divisor of 10 and i.
10
Suppose 0 = -3*q - 4*u - 6, -4*q + 17 = -u - 2*u. Suppose -5 = -q*i - y - 6, 3*y + 15 = 0. Let b be i/7*-9*-42. What is the highest common factor of 12 and b?
12
Suppose -72 = -22*j + 19*j. Let x be 460/6 - -4*2/j. What is the highest common factor of 11 and x?
11
Let g = 36 - -356. Calculate the greatest common divisor of g and 98.
98
Let s be (6/(-8))/(71565/5112 + -14). Calculate the greatest common factor of s and 71.
71
Suppose -3*i + 52 = -5*s + 3*s, -50 = -5*i - 4*s. What is the highest common factor of i and 42?
14
Suppose 27 = 4*y - 5*u, -3*y = u - 3 - 3. Let p be (-2)/y + (-3)/((-54)/1794). Calculate the highest common divisor of p and 11.
11
Let w = 23 - 27. Let q = w + 7. Let y be -24*q*(-4)/36. Calculate the highest common divisor of 88 and y.
8
Let l be 3 + (-62)/(0 + 2). Let k = 34 + l. Suppose 4*y - 2 = 14. Calculate the highest common factor of y and k.
2
Let l = -15 - -35. Let a = l + -12. Let s = 21 + -13. What is the greatest common factor of a and s?
8
Suppose 8 = 4*u, -5*w - 3*u - 29 = -165. Suppose 2*k = w - 8. Calculate the highest common factor of k and 1.
1
Let q be (175/10 - 2)*-8. Let u = q - -133. Calculate the greatest common divisor of 3 and u.
3
Suppose 0 = -8*d + d. Suppose -5*g + 30 = -5*n, d = -4*g - 0*n - 5*n + 69. Let x = -24 + 57. What is the highest common divisor of x and g?
11
Suppose 2*v = -2*o + 112, -4*o + v - 40 + 284 = 0. What is the highest common divisor of 70 and o?
10
Let c(d) = -d**2 + 8*d + 2. Let s be c(6). Let n = -33 + 33. Suppose -y - 6*y + 784 = n. Calculate the highest common factor of s and y.
14
Suppose 2*p - p - 6 = 0. Suppose -b + 180 = p*z - z, 5*b + z = 828. Suppose 5*a - b = -0*a. What is the highest common factor of a and 22?
11
Let y be (-18)/15 + (-2104)/(-20). What is the highest common divisor of 416 and y?
104
Let x = 1693 - 1645. What is the greatest common divisor of x and 294?
6
Let a(i) = 39*i + 10. Let r be a(10). Calculate the greatest common factor of r and 50.
50
Suppose 4 = 5*j - 21. Suppose 3 + 1 = -4*i. Let r = j + i. Calculate the highest common divisor of r and 2.
2
Suppose 31*k - 461 = 407. What is the greatest common divisor of 294 and k?
14
Let o(y) = -y**3 + 10*y**2 + 29*y + 3. Let z be o(12). Let s be ((-63)/15)/(3/(-15)). What is the greatest common divisor of z and s?
21
Let s be 629/6 + -12*(-4)/288. Suppose -5*l + 135 = -0*l. Let b = l - 12. What is the highest common divisor of s and b?
15
Let t = 6 + -2. Suppose -t = -v + 3*v. Let f be (-2)/(1 + v) - -18. Calculate the greatest common factor of 180 and f.
20
Let a(x) = 925*x - 270. Let v be a(4). What is the highest common divisor of v and 10?
10
Let z = 223 - 11. Let x = -77 + z. Calculate the highest common divisor of x and 45.
45
Let k(w) be the third derivative of 0*w - 1/24*w**4 - 4*w**2 + 0 + 0*w**3 + 89/60*w**5. Let t be k(1). What is the greatest common factor of 11 and t?
11
S
|
{
"pile_set_name": "DM Mathematics"
}
|
se 2*r - 2 + 4 = -3*i, i = -3*r - 3. Suppose 5*y = -0*y + 125. Suppose 5*l - 35 = y. Solve -d - 5*q = -26 + 4, 3*q - l = i for d.
2
Suppose -4*c = g + 61, c = -2*g + 5*g - 12. Let b be 45/c - (-8 - 1). Solve 3*a = 3*y + 3, -2*a + 2 = -2*y - b*a for y.
-1
Let t(u) = u. Let q be t(2). Suppose 0 = j + 4*f + 2, q*j + 2 = j - f. Let c be 5/j*12/(-15). Solve c*g - g - 1 = 0, 3*g + 5 = -2*h for h.
-4
Let a(h) = 2*h + 7. Let g be a(-4). Let v = 6 + g. Suppose v*x - 5*q - 10 = 0, q = -5*x - 9 + 31. Solve -10 = 3*k - 5*z, -k = 4*k + x*z - 8 for k.
0
Let p(s) = s**3 + s**2 - s + 1. Let h(z) = -2*z**3 - 13*z**2 + 20*z - 9. Let j(f) = h(f) + 3*p(f). Let d be j(8). Solve -d*v - 19 = u - 4, -25 = 5*v for u.
-5
Let o be 3 - (-1 + 16/(-2)). Let j be (-16 + o)*(-2)/4. Solve -2*w - 20 = j*w - 2*z, 5*z = 3*w + 22 for w.
-4
Suppose -z + 5 = 0, q - 24 - 31 = -4*z. Solve q = 5*i + 3*f, 4*i - 5*f + 10 - 1 = 0 for i.
4
Let f be -4*(-7)/(14/8). Let s be ((-24)/f)/((-3)/(-4)). Let o(k) = -3*k - 3. Let q be o(s). Solve x - 2 = -q*y + 15, -5*x - 15 = -5*y for x.
2
Let m(u) = 2*u - 18. Let l be m(10). Let o be 27/36 + 117/(-12). Let h be 0/(-4 - (o + 2)). Solve 4*v - l*d + 0*d + 2 = h, 4*v = -4*d + 28 for v.
2
Suppose 5*t - 9 = -z, -4*t + 1 = -3*t. Suppose -10 = -3*q + 4*x, z*x - 5*x - 7 = -3*q. Solve 0*n + 6 = -n - 5*i, 4*n = -q*i + 12 for n.
4
Suppose -1 = -h + 3. Suppose y = -y + 58. Solve 0*g = 4*g + 5*c - y, -h*g - 11 = -3*c for g.
1
Let r = -354 - -359. Solve -4*l - r*f - 30 = 0, 5*f + 5 = l - 0*f for l.
-5
Let p(g) = -g**2 + 6*g - 2. Let j be 5/4*(5 - 1). Let n be p(j). Solve -3*l + 2*l + 3*m + 1 = 0, 4*l + n*m = 4 for l.
1
Let k be (0/10)/11 - 2*-2. Solve 3*r = 6*r, 3*q + k*r - 12 = 0 for q.
4
Suppose 19*d - 3 = 17*d - 3*n, -4*n = 4. Solve -d*h - 5*m - 15 = 0, 3*h - 5*m + 3*m = 6 for h.
0
Suppose 2*r - 125 = -3*r. Suppose -4*b + 3*b = o + r, -3*o + 2*b = 50. Let c = o + 25. Solve -2*z + 0*z - c*p - 20 = 0, -16 = 3*z + 4*p for z.
0
Let w(h) = -32*h - 442. Let y be w(-14). Solve -t = y*c - c + 7, -3*t = 3*c + 9 for c.
-1
Let x(r) = -36*r + 548. Let q be x(15). Solve -2*g + 3*i = 4, q = g + 3*i + 1 for g.
1
Let j(n) = n**3 + 8*n**2 - 22*n - 20. Let b be j(-10). Solve -2*f - 10 = 0, -3*o + 2*o - 2*f - 9 = b for o.
1
Let i(b) = -2*b + 35. Let x be i(8). Suppose -15*j + x*j = 12. Let n be 3/4 + 15/12. Solve -n*f = -j*o + 5, -3*o + 3*f = -2*o - 4 for o.
1
Let q(v) = -v**3 + 9*v**2 + 6*v - 51. Let l be q(9). Solve -r - 3*t + 10 = 0, 6*t - t - 10 = -l*r for r.
-5
Let p(t) = -2*t**2 + t**2 - 54*t + 37*t - 26. Let x be p(-15). Solve -f + x*h - 27 = -h, -2*h + 18 = -4*f for f.
-2
Suppose 458 = 4*r - 294. Suppose -r*v = -182*v - 30. Solve c = -2*c - 2*y - 5, 0 = v*c - y + 17 for c.
-3
Suppose -8 = -2*w - 2*w. Let f be (1 + -2)/(0 + -1). Solve -w*s + 5*v + 35 = 0, -f = -3*s + v + 19 for s.
5
Suppose 2*b + 0 = 10. Suppose -b*f + f = -60. Let i be 5/(f/6) - -2. Solve 0 = 4*d - n + 16, -i*d - d - 13 = -3*n for d.
-5
Let a = 70 - 40. Suppose -a = -5*u - 3*b + 16, -2*b + 44 = 5*u. Solve 3*g - 2*v = u, 0 = 8*v - 4*v - 8 for g.
4
Let g(p) = 18*p + 597. Let n be g(-33). Suppose 2*r - 3*r - 2*f - 2 = 0, -2*f = 2. Solve -n*v - 5 = 2*t, v - 15 = -4*t - r for v.
-5
Let p be 0*(-1 - 12/(-9)). Suppose 2*f - 4*f - 24 = p. Let v = f + 16. Solve -10 = 2*w, -4*l + l + v*w = -11 for l.
-3
Let y = 2 + 8. Let m(p) = p - 7. Let i be m(y). Let h(l) = -27*l + 248. Let g be h(9). Solve -3*u = 3*c + 2*c - 3, -i*c = -g*u + 5 for u.
1
Let r = -99 + 99. Solve r = 2*p + 5*w + 12, -3 = -5*p + 4*w + 33 for p.
4
Suppose 0*t = -4*t + 12. Suppose 10 = 5*z - t*z. Suppose -19 = x + 5*g, -2*x - 5 - 3 = 4*g. Solve -5*q = -2*h - 3, -2*h + h = z*q - x for q.
1
Let f = 9 + -4. Suppose v - f*v = 0. Suppose -5*g - 20 = 0, -3*z + 5*g - 4 = -7*z. Solve -l - r = z, r + 1 = -v*r for l.
-5
Let n be 2/6*(-9 + -3 + 18). Solve -2*p - u - n = 1, -2*u = 2 for p.
-1
Suppose -v + 5 = -1. Suppose 3*l + 30 = -2*i, -v*i + 3*i - 45 = -l. Let k = -13 - i. Solve -k*f = 2*w + 3*f + 29, 15 = -3*f for w.
-2
Suppose -3*y + 51 = -g - 4*g, 3*y = 2*g + 24. Let o = -6 - g. Solve -3*x = 5*p - o, 1 = -3*p - x + 2 for p.
0
Suppose 0*i - 4*i = -3*r - 14, -2*i = r - 12. Suppose 0 = p + 4, p + 4 = -0*j + 3*j. Suppose j*g = g - 24. Solve -r*f - f + 5*s = -g, -5*s = 15 for f.
3
Let u be (0 + 0)/(-2)*(-7)/21. Let c be 18/9 - (u + -2). Solve -z + 4*t + c = -6*z, 2*z = 3*t - 20 for z.
-4
Let o = 14 - 14. Let h(s) = 3*s + 3. Let a be h(o). Solve 17 = -a*g + q, -5*q + 5 = 5*g - 0*q for g.
-4
Suppose 4*g - 2 = -3*w - 3, 22 = -w + 3*g. Let h be -2 + (3 - 0) + (-5 - w). Solve -3*q + 27 = h*f, 5*q - 33 - 7 = -4*f for f.
5
Let n(g) = -g**3 - 4*g**2 - 3*g + 2. Let t be n(-3). Suppose -4*k = 2*y - 16, -4*k + 5*y - 11 + 27 = 0. Solve q = -0*m - m, k*q - t*m + 30 = 0 for q.
-5
Suppose 4*o + 10 = 18. Suppose 0*g + 21 = -t + 3*g, -o*t - 77 = g. Let l be 80/32*t/(-5). Solve -2*y + l = 4*s - 7*s, -4*y - s + 8 = 0 for y.
3
Suppose -34 = -5*g - 2*u, 4*u = 4*g - 24 - 20. Solve 11*j = n + 9*j - g, n = -2*j - 12 for n.
-2
Suppose 4*j + j + 25 = 0. Let i(m) = -m + 2. Let w be i(j). Suppose 4 = -0*k + 2*k + u, 0 = 5*k - u - 17. Solve -3*o + 9 = k*h, 10 = 3*h + 5*o - w for h.
-1
Suppose -205*b + 214*b = 18. Solve -9 = 3*c + b*r, -3*r + 2 = 2*c + 8 for c.
-3
Let p = 2 + -2. Suppose 2*j - 3*q = -q + 24, 5*j = 3*q + 62. Suppose -3*a + j = 1. Solve -5*v - 16 = w + w, p = 4*w - 4*v + a for w.
-3
Let o(r) = r + 5. Let u(x) = 3*x + 10. Let n(f) = -5*o(f) + 2*u(f). Let l be n(9). Suppose l*q = q + 15. Solve 3*z - q*h + h = 17, -5*z = 3*h + 20 for z.
-1
Let m be 0*((-6)/(-18) - 0). Solve m*p - 4*v = 3*p + 11, -4*p + 2*v = 22 for p.
-5
Suppose 0 = -2*i + 4*o - 1 - 3, 0 = i + 5*o + 37. Let w be i/60 + (-42)/(-10). Solve -z = 5*a + 15 + 3, -21 = 3*z + w*a for z.
-3
Suppose -11*q - 4 = -37. Suppose 76 = q*v + 4*t, -v + 14 = -t - 9. Solve -2*b = -4*m - v, -4*m + 1 - 21 = -b for b.
4
Let v(d) = d + 8. Let x be v(-3). Let z be (x*-1)/((-4)/(-36)*-3). Solve m + 4*c = z, 5*m + 2 - 20 = -c for m.
3
Let h be (-3 + 1)*(-5 + 0). Suppose -h = -w - w. Let x(m) = m - 10. Let d be x(12). Solve -5*t = d*a - 22, -13 = t - 3*t - w*a for t.
4
Suppose 5*n + 10 = 0, 17*d - 14*d - 35 = n. Solve 0 = j + 3*w + d, 11 = -3*j - 4*w + 6*w for j.
-5
Suppose 0*y + 3*y + 4*f = -5, 0 = 3*y - f - 5. Solve -4*b + b - 4 = n, 5*b = 4*n - y for b.
-1
Let c(s) = -s - 9. Let d be c(-6). Let g(b) = -b**3 - 3*b**2 - b + 1. Let r be g(d). Solve -5 + 17 = r*q, -v - 5*q = -15 for v.
0
Let m be (1 + -10)*(1 + -2). Solve 10 = -4*b - b + 2*x, -x - m = b for b.
-4
Let u(n) = -32*n - 158. Let m be u(-5). Solve -m*p = -5*f + p - 3, -2*p - 17 = 3*f for f.
-3
Let a(n) = -n**2 + 3*n + 23. Let u be a(0). Suppose -5*j - 6 + u = -b, 8 = -4*b. Solve 0 = -j*z - 3*h + 9, z + 3*z + 3*h = 14 for z.
5
Let j = -1693 - -1695. Solve -4*h + 2 = -j*t, 2*h = -h + 3*t - 3 for h.
2
Suppose -5*x - 4*k + 2*k = -15, 5*x = -5*k. Let f = 562 + -541. Solve -f = -5*r + p, x*r + p = 6*p + 5 for r.
5
Let f = 14 + -10. Suppose -2*a + 2*q = -a - 8, f*q + 12 = a. Solve -i = -3*y + 11, 0*i = -a*y - 3*i + 32 for y.
5
Let f = 2144 - 2140. Solve -3*r + 15*w - 15 = 16*w, -5*r = -f*w + 25 for r.
-5
Let y be 2 - 4/(-4)*4/(-2). Solve -9 + 29 = 4*u - 3*v, u - 5*v - 22 = y for u.
2
Suppose -315 = -173*n + 110*n. Let s(l) = l**2 + 2*l - 2. Let b be s(-3). Solve -2*m = -3*m - b, -3*j + 11 = -n*m for j.
2
Let y = -29 - -65. Suppose -6 + y = 3*j. Solve 0 = -c - 3*p + j, 2*c + c - p - 10 = 0 for c.
4
Let g be 47/4 + (-483)/276. Solve 0 = -2*p + g, -3*p + 0*p + 27 = -3*r for r.
-4
Let s(u) = u - 5. Let z be s(5). Solve z = 4*q + 4*a - 0*a + 4, -11 = -4*q - a for q.
4
Suppose 12*y = 4*y + 32. Suppose 0 = -y*t - 3*c + 27, 2*t + 5*c - 37 = -2*t. Solve 0 = r + 2*r + 5*k + 26, -t*r + k = 2 for r.
-2
Let h = 557 - 541. Solve 5*l + z + 16 - 36 = 0, 4*l = -4*z + h for l.
4
Let r be 48/80 + 12/5. Solve 0*v = -2*l - 3*v + 8, 4*l = -r*v + 4 for l.
-2
Suppose -p - 3*l = -5*p + 25, -2*l = -4*p + 22. Suppose 0*t = p*t. Suppose 4*y + u = 3*u + 4, t = -y + u. Solve n - 1 = 0, -s + y*s - 5*n = -10 for s.
-5
Let p be 8*-8*10/(-160). Solve 5*c = o + 8, p*c - 3*o - 14 = -6*o for c.
2
Let w(z) = -z**2 + 13*z + 3. Let y be (3 + 15/(-6))*26. Let u be w(y). Suppose 2*a - u*a = -4. Solve a*h - 35 = 3*v, 7*h
|
{
"pile_set_name": "DM Mathematics"
}
|
03/128 (c) 5
c
What is the sixth smallest value in -95, -5, -4, -0.5, 5642, -3/2?
5642
What is the second biggest value in 9, -199, -675/14?
-675/14
What is the third smallest value in 4, -5/2, -716, -0.4, -1, 1?
-1
Which is the third smallest value? (a) -1626.143 (b) 1 (c) -2/7
b
Which is the fifth smallest value? (a) 4 (b) -1 (c) 47 (d) 0.03 (e) -5/3 (f) -3 (g) -0.05
d
What is the fifth biggest value in 2, 7/5, -304, 0.3, -1, -2/5?
-1
What is the biggest value in 1/5, -119, -8, 0.1, -9, -1/5, 0?
1/5
What is the third smallest value in -22/7, 17098, -1/4?
17098
What is the fifth biggest value in -1/3, 2, 159074, -4, 7/6?
-4
Which is the second smallest value? (a) -0.1 (b) 0.6 (c) -67709 (d) 35 (e) 0.2
a
What is the third biggest value in 3/7, 1/2, 474/47, -58, 0.4?
3/7
Which is the fifth smallest value? (a) -129 (b) 17 (c) -0.4 (d) -3 (e) -0.3 (f) 36 (g) 8
g
Which is the second biggest value? (a) 0.09 (b) 113.87 (c) 79
c
What is the fourth smallest value in -4.934, -0.1, 3/2, -2, -3?
-0.1
Which is the third biggest value? (a) -8620049 (b) 0.081 (c) 3
a
What is the biggest value in -1/209, -1/7, -1/5, -3, -2?
-1/209
Which is the second biggest value? (a) 15 (b) -2/5969 (c) 0.3 (d) 0 (e) 5/32
c
Which is the fifth smallest value? (a) 9 (b) -1/5 (c) 0.2 (d) -16 (e) 0 (f) -17
c
Which is the fourth smallest value? (a) -8964 (b) 2/55 (c) 0.058 (d) -1
c
Which is the second smallest value? (a) 2/5 (b) -4/369 (c) 428614
a
What is the fifth smallest value in -2, 3/7, 31, 8, -4, -7, 273?
8
What is the third smallest value in -0.1, 0.2, 0.063, -1/392?
0.063
What is the second biggest value in 0.4, -0.5, 33, -1/3, 1, -14, -25?
1
Which is the smallest value? (a) -509 (b) 0 (c) 526 (d) 1/6
a
Which is the second biggest value? (a) -2 (b) -0.09 (c) -0.2 (d) -2/3 (e) -0.21 (f) -107474
c
What is the second biggest value in -0.04, -237, 860, -2/3?
-0.04
Which is the third biggest value? (a) 2 (b) -5 (c) 59511749
b
What is the sixth biggest value in -2, 4/15, 509, -3, -2/3, 53?
-3
Which is the smallest value? (a) -2/11 (b) 5/107241 (c) 2/45
a
Which is the third biggest value? (a) 0.2 (b) 4 (c) -5/4 (d) -107.05 (e) 5 (f) 1
f
What is the second smallest value in -5, -0.2, 1, 1/245, 10291, -0.1?
-0.2
Which is the fourth biggest value? (a) -2/21 (b) 15 (c) 7 (d) 55 (e) 1/2 (f) -40
e
What is the smallest value in 25, -1/8, -41.2, -4.2, 14?
-41.2
What is the second smallest value in 5, 26, -4.8451, 1/17?
1/17
What is the third biggest value in 2/3, 2/1017, 2, -1733?
2/1017
What is the third biggest value in -0.02, 132/7, -2/145, 0, 3/4?
0
What is the smallest value in -43821, 35, 0.15?
-43821
Which is the fourth biggest value? (a) 13 (b) -3/142 (c) -313 (d) 0.3
c
What is the sixth smallest value in 0.133, 0, -0.4, -5, -47, -4/5, 9?
0.133
What is the sixth smallest value in 3, -0.1, -23.4, 10, 106, 2, 0.4?
10
What is the seventh biggest value in 1/10, -4/3, -2, -0.4, -144.8, 0, -1?
-144.8
Which is the seventh biggest value? (a) 5/4 (b) 1/4 (c) 0.3 (d) 0 (e) -5 (f) -4 (g) 22274.1
e
What is the second biggest value in 0.04, 0.2, 4, 2308?
4
Which is the fourth biggest value? (a) -5 (b) 3/10 (c) 0.12 (d) -7/17 (e) 3
d
Which is the sixth biggest value? (a) -3/8 (b) -4 (c) -0.1 (d) 1 (e) 2 (f) 0.2624 (g) 0.17
a
What is the biggest value in 1693, -2/3, -0.3, 51/11, -1?
1693
What is the third smallest value in -7.6798, 26, -2/19?
26
What is the second smallest value in 3, 1/2, -5, -0.4, -239, 2/9?
-5
What is the biggest value in -832, 1/5, -36, -1246?
1/5
Which is the sixth smallest value? (a) 1/15174 (b) -4/7 (c) 0.5 (d) -0.5 (e) 0.2 (f) 4
f
What is the fourth biggest value in -2, 4/5, -0.4, -2/1819, 1/23, -53?
-0.4
Which is the fourth biggest value? (a) -0.1 (b) -5 (c) 2 (d) -2 (e) 0.11 (f) 624 (g) 0
g
Which is the smallest value? (a) -4 (b) -0.09 (c) 3325
a
Which is the second smallest value? (a) -2/13 (b) 1/4 (c) -23 (d) -2/143 (e) 2/3 (f) -0.4
f
What is the third smallest value in -11, 0.3, 3.83, -1, 5.9, -0.4, 5?
-0.4
Which is the third smallest value? (a) 183 (b) 3 (c) 4943 (d) 0.05
a
What is the third smallest value in 2/3, 5950.7, 3?
5950.7
What is the fourth biggest value in -231, -76, 0, -68, -6, 2/7?
-68
Which is the biggest value? (a) -193/7 (b) 3/7 (c) -7/26 (d) -0.1
b
What is the second biggest value in 0.3, 0, -10, -1425, -180, -0.1?
0
What is the second biggest value in 2, 1/5, -3607863?
1/5
What is the smallest value in -2/7, 0.1, -1.16, 2/15, -0.5, -0.2, 4?
-1.16
What is the third smallest value in -5, -0.21, 4/225, -3/7, 16/3?
-0.21
Which is the biggest value? (a) 2 (b) -2/7 (c) -131786 (d) -67/4
a
What is the fourth biggest value in 0.9, -24/271, 51, 3?
-24/271
What is the third biggest value in -26.33, 33/8, -3, 0.01?
-3
Which is the second biggest value? (a) 0.23 (b) -22/5 (c) -4 (d) 4 (e) -3/4 (f) -3 (g) -28
a
Which is the smallest value? (a) 777/41 (b) 2/3 (c) -6 (d) -781
d
What is the fifth smallest value in -0.3, -36, 563, -2/7, 4/3, 5, 328?
5
Which is the second smallest value? (a) -4 (b) -2/11 (c) 17/6 (d) -0.1 (e) -5 (f) -2125
e
Which is the smallest value? (a) -3 (b) 102 (c) -0.1 (d) 111/110 (e) -3/8
a
What is the third smallest value in 6/7, 3, 1/97, 1, 0.2, -0.21?
0.2
Which is the fourth smallest value? (a) 1 (b) -18202 (c) -15/8 (d) 5
d
What is the biggest value in -3, 10.88, -1.8, -2/17, 7?
10.88
What is the third biggest value in 0.3, 425/4, -1.1, -2/3, -1/2?
-1/2
What is the third biggest value in -7.1, -1/7, 2/13, 2/9, -57, -3?
-1/7
Which is the third biggest value? (a) -14 (b) 8 (c) -3/2 (d) 2 (e) 0.2 (f) -85
e
What is the second smallest value in -0.7, -24691, -35?
-35
Which is the second biggest value? (a) -4 (b) 20718/5 (c) -2/57 (d) -1.52 (e) 5
e
What is the second biggest value in -2/13, 0.5, -5, 4, -177.4, 137, -0.5?
4
Which is the second biggest value? (a) -7.4 (b) 1/4 (c) -136/59
c
Which is the fifth biggest value? (a) 17 (b) 1 (c) -5/101 (d) 5/48 (e) -2/7 (f) -0.4 (g) 0
c
Which is the third biggest value? (a) -2/1191 (b) 4 (c) 25 (d) -0.8 (e) -0.2
a
Which is the second biggest value? (a) 2/3 (b) -1779 (c) -1 (d) -2/15 (e) -1/59 (f) -1/2
e
Which is the smallest value? (a) 0.4 (b) -1/28 (c) 108/625
b
What is the third biggest value in -18, -1, -3, -2970, 3, 4, -4?
-1
Which is the fourth smallest value? (a) 1/6 (b) -6/5 (c) 2 (d) 3 (e) 5 (f) 304005 (g) -7
c
What is the third biggest value in 1/13, 0, -7, 2346, -0.5?
0
What is the third smallest value in 4/7, -0.119, -73, 0.02?
0.02
Which is the second biggest value? (a) -2/4183 (b) 0 (c) 16 (d) 1/15 (e) 3/2 (f) 3 (g) -3
f
What is the third smallest value in -2, -368782/25, 1?
1
What is the fourth biggest value in -5, 86/15, 15, 2, -1?
-1
Which is the smallest value? (a) 4/77 (b) 205425 (c) 0.2
a
What is the second smallest value in 3/2, -0.0242783, -2, 1?
-0.0242783
Which is the third smallest value? (a) -35053323 (b) 1/3 (c) 2/9 (d) -0.2
c
What is the smallest value in 241594, -11, -0.3?
-11
Which is the fourth biggest value? (a) 0.05 (b) -2/5 (c) -1/6 (d) -1/3 (e) -0.2529 (f) 29
e
Which is the second biggest value? (a) -0.04703 (b) -112379 (c) -2
c
What is the third smallest value in -48.626, 3, 0.1, -1.1, -4, 0.2?
-1.1
Which is the biggest value? (a) -2.9 (b) -81 (c) -1 (d) 0.2 (e) -2/7 (f) -0.5 (g) 13
g
What is the second biggest value in 829, 2, 4, -262?
4
Which is the second smallest value? (a) -2/9 (b) -73 (c) -1/2 (d) -1/5
c
What is the second biggest value in -1/2, 0.5, 82, -1/11, 2, 2/3?
2
Which is the third smallest value? (a) 14271 (b) 459 (c) -4/5
a
What is the smallest value in -5, 57.42, 0.3, 2, -21/4?
-21/4
What is the third biggest value in 0.1, 586, -117, 2, 85, 1.8?
2
What is the biggest value in 0, 10, 12483628?
12483628
Which is the second biggest value? (a) -4 (b) -13166/9 (c) 13
a
What is the third smallest value in 0.1, 1, -1, -2/3, -2, -0.0248, 3/1864?
-2/3
Which is the fifth biggest value? (a) 16/65 (b) 108 (c) -12 (d) 0.1 (e) 14
c
Which is the fourth smallest value? (a) -2 (b) -12 (c) -2/3 (d) 2/127 (e) 0.03
|
{
"pile_set_name": "DM Mathematics"
}
|
?
b
Let m = -4 - -4.1. Let f = -0.3 + m. Are -1 and f nonequal?
True
Suppose -4*t - t = -5. Let g be 2/(t - 7/3). Suppose 0 = -5*d - 3 - 2. Which is bigger: g or d?
d
Let x = 0.2 + 7.3. Let o = x - -1.5. Is o != 0.2?
True
Let u be (-3)/(-10 - 2)*4. Which is bigger: 0 or u?
u
Let c = -59/2 + 645/22. Which is bigger: 1 or c?
1
Let g be -1 + 4 - 0 - (-7)/(-2). Is -30 > g?
False
Let k(o) = o**2 - 5*o + 2. Let d(q) = -q**3 - 9*q**2 + 4. Let r = -22 - -13. Let c be d(r). Let j be k(c). Which is bigger: j or -3?
j
Suppose 13*z = 22*z + 45. Is 10 greater than or equal to z?
True
Let q be 12/9*4/2. Which is greater: q or 3?
3
Let g = 2 - -1. Suppose 3*x - 18 = -g. Let c be 2/(((-5)/2)/x). Is c less than or equal to -5?
False
Suppose 2*x + 4 = -2. Let o = -10 + 7. Does o = x?
True
Suppose 0*y = y - 12. Suppose 0 = v - 4*k - 9, -5*v - k + 2*k - y = 0. Is v greater than or equal to -5/2?
False
Let h = -19 - -7. Are -12 and h non-equal?
False
Let v(c) = -c - 1. Let r be v(-1). Let d = 1247/7 + -178. Is d <= r?
False
Suppose 3*s + 4 = 3*g - 7*g, g = 5*s - 1. Suppose -4*a - 32 = -12. Let q = a - -5. Is q smaller than s?
False
Let o(j) = -j**3 + j + 2. Let s be o(0). Suppose 0 = -4*m, 3*m + 0 = -s*y + 14. Is 6 bigger than y?
False
Let s = 56.06 + -40. Let g = s - 16. Which is bigger: -0.1 or g?
g
Let w(g) = -g**2 + 5*g. Let m be w(5). Let n(a) = -6*a + 3*a**3 + 6*a**2 + 2 - 4*a**3 + 3. Let q be n(5). Is m bigger than q?
False
Let j be (-20)/(-110) + (-282)/(-22). Is 13 greater than j?
False
Let l be (-24267)/(-5) - (-3)/5. Let m be l/35 - (-9)/15. Let q = -139 + m. Is q at most 2?
True
Let b = 24 + -42. Let r be (-12)/b + 7/12. Are 0 and r equal?
False
Let u(t) = t + 8. Let b be u(-6). Which is greater: b or -1/3?
b
Let l be 0/(1*(-1 - 0)). Let u = l + 1. Are u and 6/5 non-equal?
True
Let f = -2.88 - -3. Let s = f + 0.08. Which is bigger: s or -1?
s
Let l be 0*(1 + ((-7)/2 - -3)). Do l and -2/135 have the same value?
False
Suppose 0 = 4*q - 2*q. Suppose 4*t + 48 = 2*a, 5*t + 3*a + 107 - 25 = 0. Let j be (12/t)/(q + 2). Which is bigger: j or 0?
0
Let h = 1.1 - 9.1. Let c = 7.96 + h. Which is smaller: 0 or c?
c
Let d = 0.5 + -2.5. Let y = -0.03 + 4.03. Let s = d + y. Is s less than or equal to -1?
False
Suppose -7*x = -3*x. Suppose 5*f - 19 - 6 = x. Suppose 0*j = -f*j. Which is greater: j or 1/4?
1/4
Let o(a) = a - 3. Let i be o(3). Suppose -3 = x - i*x. Let p(n) = n - 14. Let t be p(11). Do x and t have the same value?
True
Let f = -21 - -20.9. Is 11 smaller than f?
False
Suppose -3*c - 14 = 22. Let y be (-40)/(-18) + c/54. Which is bigger: y or 1/2?
y
Let j = 82 - 82.1. Is 30 greater than j?
True
Let h = 3 - 2. Let n = -21/5 + 283/65. Is n at least as big as h?
False
Suppose -18 + 3 = -5*v. Suppose v*b = -12 + 3. Is b bigger than -4?
True
Suppose -5*i = -0*i - 10. Let h be (1/i)/(2/(-52)). Which is greater: h or 0?
0
Let k = -5.45 + 5.5. Are k and 0.5 unequal?
True
Let q(h) = h**3 + 2*h**2. Let s be q(-2). Suppose 0 = -2*w, -2*w = 3*y - s*w. Let z be (-1)/(-2) + 6/(-28). Are y and z nonequal?
True
Let v = -7/55 + 317/330. Suppose 0 = z - 0*z. Which is bigger: v or z?
v
Suppose 0 = 5*t - 30. Let j = t + -9. Which is smaller: -4 or j?
-4
Let b be (-3)/5 + 280/175. Do b and -1 have the same value?
False
Suppose 2*n - 8 = -2. Suppose n*c + 12 = -c. Which is greater: -2 or c?
-2
Let d(h) = -h**2 - h - 1. Let q be d(0). Do -5/11 and q have the same value?
False
Let f be 2*((-18)/4 - -1). Let y = -5 - f. Suppose -3*n = y*n - 15. Which is bigger: n or -2?
n
Suppose -6*s = -5*s + 180. Let n = 3/2486 + 2247329/12430. Let w = s + n. Is w greater than or equal to 0?
True
Let o = 43 - 39. Let k = 6 + -3. Suppose -o*b = -t + 1, -2*b - 3*b - 3 = -k*t. Is b at least as big as 3/4?
False
Let y be 6/(-90)*(-1 + 2) - 0. Is y >= 0.2?
False
Let q = 575 - 22427/39. Let c = 142/273 - q. Which is bigger: 2 or c?
2
Let u(n) = n**2 - n - 5. Let y be u(-4). Let h be y/(-10)*4/6. Is h greater than or equal to -4/5?
False
Suppose -2*o + 1 + 1 = 0. Suppose 0 = -f + 2*r - o - 3, -2*f + r - 2 = 0. Suppose 2*z - 10 = 5*q, -2*z + 1 = -9. Is q greater than or equal to f?
True
Suppose 90 = 4*h - 5*p, h - 8*p - 28 = -4*p. Let j be -1*(h/(-8))/(-5). Which is bigger: j or 5?
5
Let n be 322/(-207)*3*(0 + -1). Is n at most 6?
True
Suppose 0 = -22*t + 15*t - 343. Do t and -47 have the same value?
False
Suppose -20 = -4*x - 2*n, -n = -2 - 2. Is x at least as big as -13?
True
Suppose -5*a = -3*z - 69, 1 = -5*z - 14. Let o be 11/3 + (-8)/a. Suppose -4 = o*x + 2. Does x = -1?
False
Let y = 11 - 38. Let v be (12/(-14))/((-165)/y). Let q = v + -8/55. Which is bigger: q or -1?
q
Suppose 5*q = 15, -4*t = -q + 55 + 264. Is -78 at most t?
False
Let o = -11 - -18. Let g = o - 7. Let v = g + -0.4. Is 0 < v?
False
Suppose 0 = 9*n - 7*n. Are n and 12 equal?
False
Let h be -2*5*(-1)/2. Suppose -h = -2*c + 3*c. Let a = -4 - c. Which is greater: a or -2/7?
a
Let k = -45 - -46. Is k at least as big as 15?
False
Let a(q) = q + 1. Let g be a(-1). Suppose z = -g*z + 1. Is z greater than 3?
False
Let w be 2*10*(-2)/(-4). Suppose 3*h + w = 2*h - 2*p, -4*h + p = -5. Is h != 1/2?
True
Let o be 2*(1 + 17/(-10)). Does 0 = o?
False
Suppose -2*k - 9 - 3 = 0. Let l be (-3)/3 + k/2. Is -4 >= l?
True
Suppose -15 = -5*t - 2*q, 4*t - 2*q = 5*t - 11. Let x = 1.57 + 0.13. Let b = -0.3 - x. Which is greater: b or t?
t
Let v be (4/10)/((-16)/24)*5. Is v at least as big as 5?
False
Let u be (-51955)/119 + (-2)/7. Let m = u + 437. Which is smaller: 0 or m?
0
Let x be (-2)/(-6) + (-26)/6. Let p(h) = h**2 - 8*h + 5*h**3 - 6*h**3 + 6*h**2 + 8. Let u be p(6). Are u and x equal?
True
Let x be (-2)/(-2)*2*1. Suppose 4 = -x*z - 2*z. Is -2 equal to z?
False
Suppose 0 = 3*c - 0*c - 9. Suppose c*v - 4 = v. Which is bigger: v or 3/2?
v
Let o(d) = 2*d - 3*d**2 + d + 1 + 4*d**2 + 0. Let y be o(-1). Is y less than or equal to 3?
True
Suppose 0 = 4*l - l + 66. Let m = -8 - l. Suppose 0 = -4*x - 3*w - 9, -3*x = -8*x - w - m. Is x at least as big as -4?
True
Let j be (-21)/28 - (-15)/(-12). Suppose -3*t = 6, 2*i + 3*t = 5*i - 3. Which is bigger: i or j?
i
Suppose 0 = 4*a - 0*a + s - 3, 0 = 4*a + 4*s + 12. Suppose 0 = j - 3*l - 12, 0 = j + l - a*l - 2. Do 0.3 and j have the same value?
False
Suppose 3*u = -29 + 83. Which is smaller: 20 or u?
u
Let h(y) = y**2 + 2*y + 1. Let u be h(-4). Let n be ((-1)/(-2))/(u/6). Is -0.3 smaller than n?
True
Suppose -2*p + 4*p = -60. Let w be (1 - -1)/(8/p). Let k = 73/10 + w. Is 1 bigger than k?
True
Let o be (-3 + 6)*(0 + 1). Suppose -o*w - g = -7*w + 4, g - 10 = -3*w. Suppose -w*k = -7*k. Is k at most as big as -1?
False
Let o = 0.07 + 0.96. Let s = 7 - 6.97. Let b = o - s. Which is greater: 5 or b?
5
Let c(a) = -a**2 + 1. Let x be c(1). Suppose 2*l - 11 = -1. Suppose 4*s + l - 1 = x. Is s at least as big as -1?
True
Let z = 4 - 0. Suppose z + 0 = -m. Which is smaller: -5 or m?
-5
Let a(c) = 17*c**2 + 3*c - 3. Let b be a(-3). Do b and 142 have the same value?
False
Let b be ((-2)/(-8))/((-21)/(-12)). Is b != 1?
True
Let z(j) = 2*j - 6. Let k be (-5)/(-4)*(1 - -3). Let i be z(k). Let m be i/(-18)*9/(-12). Which is smaller: m or 0?
0
Suppose -6*c + 0*c = 18. Is -3 greater than or equal to c?
True
Let l(k) = -2*k - 5. Let o(u) = -5*u - 11. Let n(d) = 9*l(d) - 4*o(d). Let c be n(2). Let h = 0.22 - 0.12. Is h less than c?
True
Let m = 20 + -20. Which is greater: m or -1/4?
m
Let u be 44/84 - 3/(-21). Which is bigger: u or 0?
u
Let i = 19042/35 + -544. Is 1 != i?
True
Let t be 9/(-2)*8/6. Suppose 3*l = 3 - 0. Let v be (4 - l)/((-63)/t). Which is smaller: v or 1?
v
Let u = 3 + 11. Which is smaller: 0.1 or u?
0.1
Suppose -v - 3*d = -0*d - 6, -2*d - 21 = -v. Suppose z + z = 5*r - 10, 2*r + v = -3*z. Which is smaller: -4 or z?
z
Let i = 43 + -24. Is 19 at most as big as i?
True
Let i = -7 + 6. Let t be ((-1 - i) + 4)/14. Let w = 0.2 - 0.2. Which is smaller: w or t?
w
Suppose 4*d = 172 - 4. Let w be (1/(-15))/(3/d). Let t = -3/5 - w. Which is smaller: t or 1?
t
Let t = -68146438/2789 + 24434. Let v = -103853/153395 - t. Let a = v - -3/11. Is 1 < a?
False
Let v = -305 - -314.87. Let h = v - -0.23. Let c = 10 - h. Is 6/7 smaller than c?
False
Let j(l) = l**2 + 4*l + 3. Let w be j(-3). Suppose w = -5*q + 2 + 18. Let v(x) = -x - 2
|
{
"pile_set_name": "DM Mathematics"
}
|
3105*o**2 + 3105*o**2 - 4*o - 26*o**3.
-26*o**3 - 4*o
Collect the terms in 4*y**2 - 18*y**3 + y**3 - 29 + 29 - 3*y**2.
-17*y**3 + y**2
Collect the terms in -3609*g - 1 + 1 + 0.
-3609*g
Collect the terms in -273*a**2 + 23*a**3 + 88*a**2 + 98*a**2 + 87*a**2.
23*a**3
Collect the terms in 5 - 1864*h + 3635*h - 5 - 1757*h.
14*h
Collect the terms in -47*i + 1 + 52*i - 3 + 12*i + 40*i.
57*i - 2
Collect the terms in -86*d + 2180*d**2 + 156*d - 70*d.
2180*d**2
Collect the terms in 12*y**3 + 8*y**3 + 12*y**3 + 17*y**3 + 4*y**3 - 54*y**3.
-y**3
Collect the terms in 14*v**2 - 14*v**2 + 148*v**3 + 80*v**3.
228*v**3
Collect the terms in -187691*g**2 - 187184*g**2 + 374878*g**2.
3*g**2
Collect the terms in 7*n**3 - 51*n**2 - 46*n**2 - 52*n**2 + 139*n**2.
7*n**3 - 10*n**2
Collect the terms in -6163*o + 2845*o + 3312*o.
-6*o
Collect the terms in -l - 19*l**2 - 11*l**2 - 14*l**2 + 79*l**2 - 30*l**2.
5*l**2 - l
Collect the terms in -34*j - 17*j + 51*j + 1304*j**3.
1304*j**3
Collect the terms in 0*i**3 + 1646957*i - 1646957*i + i**3.
i**3
Collect the terms in -64*w**3 - 88*w**3 + 182*w**3 - 49*w**3.
-19*w**3
Collect the terms in -2*r**2 - 58*r**3 + 622*r**3 + 600*r**3.
1164*r**3 - 2*r**2
Collect the terms in 50 - 191 + 2*x + 46 + 95.
2*x
Collect the terms in -51 + 51 - 5929*c + 5936*c.
7*c
Collect the terms in 61*w**3 + 62249*w - 62249*w.
61*w**3
Collect the terms in 386*p**2 + 106*p**2 + 1114*p**2.
1606*p**2
Collect the terms in 9 - 10*z**3 - 8*z**3 + 18 + 17*z**3 + 11.
-z**3 + 38
Collect the terms in -z - 2*z + 456 + 64 - 56 + 320.
-3*z + 784
Collect the terms in -145*y + 17*y**3 + 258*y - 109*y.
17*y**3 + 4*y
Collect the terms in -6338397*b**2 + 6338397*b**2 + 27*b**3.
27*b**3
Collect the terms in -2*l - 136912 + 136912.
-2*l
Collect the terms in 4974*v + 7533 + 4975*v - 9947*v - 7533.
2*v
Collect the terms in 102*k**3 - 190*k**3 + 130*k**3.
42*k**3
Collect the terms in -151*y + 675*y + 351*y.
875*y
Collect the terms in -54*d**2 - 34*d**3 - 23*d**2 + 77*d**2.
-34*d**3
Collect the terms in 25 + 161*r + 160*r - 26 - 319*r + 71.
2*r + 70
Collect the terms in -8*h**2 + 6335 + 6323 - 12658.
-8*h**2
Collect the terms in 852*g - 1003*g - 1821*g.
-1972*g
Collect the terms in -178 - 175 + 203*w**3 + 353.
203*w**3
Collect the terms in 38*s**3 + 1347*s**3 - 1381*s**3.
4*s**3
Collect the terms in -13 - x + 25 + 14*x - 7 - 4.
13*x + 1
Collect the terms in -15*h + 2351 + 20*h - 627.
5*h + 1724
Collect the terms in 1269*m - 2532*m - 11*m**2 + 1263*m - 18*m**2.
-29*m**2
Collect the terms in 174*l - 219*l - 717*l - 21*l.
-783*l
Collect the terms in -21*h + 46*h + 23*h**3 - 7*h + 75*h.
23*h**3 + 93*h
Collect the terms in -30*s**2 - 14726 - s**2 + 14726.
-31*s**2
Collect the terms in 46847*m**3 - m**2 + m**2 - 46845*m**3 - 8*m**2 + 8*m**2.
2*m**3
Collect the terms in 18 - 4 - 12 - 1200*b**2.
-1200*b**2 + 2
Collect the terms in -23*l + 109*l + 5*l**3 - 86*l.
5*l**3
Collect the terms in -172*s**2 - 172*s**2 - 167*s**2 + 4*s + 510*s**2 - s.
-s**2 + 3*s
Collect the terms in 45*f - 66*f**2 + 19*f**2 - 43*f - 2*f.
-47*f**2
Collect the terms in -982*d**3 + 1113*d**3 + 1494*d**3.
1625*d**3
Collect the terms in 216*j - 253*j + 35*j + 6*j**2.
6*j**2 - 2*j
Collect the terms in 19*o**2 + 28*o**2 + 8*o**2 - 83*o**2 - 2*o.
-28*o**2 - 2*o
Collect the terms in 13*s**3 - 4*s**3 - 1659 - 6*s**3 + 1659.
3*s**3
Collect the terms in 23*f**2 - 23*f**2 - 89*f**3 + 66*f**3 + 31*f**3.
8*f**3
Collect the terms in -84027*t**3 - 84040*t**3 + 168066*t**3.
-t**3
Collect the terms in -12844*r**2 + 6504*r**2 + 6341*r**2.
r**2
Collect the terms in -8186*l + 24452*l - 8161*l - 8158*l.
-53*l
Collect the terms in -822*q**3 - 823*q**3 + 3281*q**3 - 821*q**3 - 819*q**3.
-4*q**3
Collect the terms in -2318*n - 2330*n + 4648*n - 103*n**3.
-103*n**3
Collect the terms in 19*q**3 + 7623*q**2 - 7625*q**2 + 7*q**3.
26*q**3 - 2*q**2
Collect the terms in -131*v**3 - 139*v**3 + 509*v**3 - 130*v**3 - 106*v**3.
3*v**3
Collect the terms in -5*n - 4*n - 7*n + 20*n - 2*n.
2*n
Collect the terms in 12*c**3 - 13*c**3 + 59413*c**2 - 29714*c**2 - 29718*c**2.
-c**3 - 19*c**2
Collect the terms in -909 + 909 - 1204*x + 13453*x.
12249*x
Collect the terms in 2*y**3 + 27 - 44 + 17 + 11*y**3.
13*y**3
Collect the terms in 216*i**3 - 209*i**3 + 58*i**2 - 32*i**2 - 10*i**3 - 26*i**2.
-3*i**3
Collect the terms in -17*g**2 + 0*g**2 - 37*g**2 + 4*g**2.
-50*g**2
Collect the terms in 324650*w**2 + 520404*w**2 + 495973*w**2.
1341027*w**2
Collect the terms in 109973849*c + 3*c**2 - 10*c**2 - 109973849*c.
-7*c**2
Collect the terms in -462 + 274 - 8*d**2 + 3*d**2.
-5*d**2 - 188
Collect the terms in 205*f + 8 - 8 + 722*f - 178*f.
749*f
Collect the terms in 2628 - 1318 - 1310 - 11403*j.
-11403*j
Collect the terms in -152*r**3 - 223*r**3 - r**2 + 26*r**3 - 8*r**2.
-349*r**3 - 9*r**2
Collect the terms in 47 + 43 + 16*z - 90.
16*z
Collect the terms in 5*i**2 - 74*i**2 + 26*i**2 + 26*i**2 + 20*i**2.
3*i**2
Collect the terms in -8 + 12*s - 1 + 4 - 1 - 3*s.
9*s - 6
Collect the terms in -1576*l**3 + 802*l**3 + 787*l**3.
13*l**3
Collect the terms in 195*b + 190*b + 195*b - 582*b.
-2*b
Collect the terms in 260409*n - 520826*n + 260418*n.
n
Collect the terms in -23065*r**2 + 11533*r**2 - 53*r**3 + 11532*r**2.
-53*r**3
Collect the terms in -3 + 0 + 0 - 5*t + 8*t + t.
4*t - 3
Collect the terms in 271393 - 271393 - 3*l - l**2.
-l**2 - 3*l
Collect the terms in k**2 + 23212319044 - 23212319044.
k**2
Collect the terms in -2152*s**2 + 4300*s**2 + 13 - 13 - 2155*s**2.
-7*s**2
Collect the terms in -1438*f**3 + 16 + 16 - 32.
-1438*f**3
Collect the terms in -373673005 - 40*a**2 + 373673005.
-40*a**2
Collect the terms in 10 - 20 + 6778*b + 10.
6778*b
Collect the terms in -p**3 - 49*p**2 + 59*p**2 - 10*p**2.
-p**3
Collect the terms in 184*u + 185*u + 3*u**3 - 15*u**3 - 369*u.
-12*u**3
Collect the terms in 2 - 3 - 6729*a**2 + 6728*a**2 + 1.
-a**2
Collect the terms in -4 + 2 + 37*b - 2 - 2 + 7.
37*b + 1
Collect the terms in 203*w**3 - 129 - 205*w**3 + 136.
-2*w**3 + 7
Collect the terms in 4*d**2 - 99 - 7*d + 99 + 21*d**2.
25*d**2 - 7*d
Collect the terms in -10*m + 23*m - 25*m + 14*m + 18*m.
20*m
Collect the terms in -86*b + 28 - 26 + 47*b.
-39*b + 2
Collect the terms in 3351*l**3 - 12845*l**3 - 1466*l**3.
-10960*l**3
Collect the terms in -90*i**2 - 221*i**2 + 6*i**2 - 68*i**2.
-373*i**2
Collect the terms in -24 - 2399*p + 2400*p + 2 + 1.
p - 21
Collect the terms in 2031026*g**3 - 4062060*g**3 + 2031031*g**3.
-3*g**3
Collect the terms in 38 - 66 + 28 + 150*q.
150*q
Collect the terms in -233*p**2 - 357*p**2 + 21*p - 21*p.
-590*p**2
Collect the terms in 9*f + 6*f + 46*f - 57*f + 42*f.
46*f
Collect the terms in -2 + 6644*n**2 + 103*n - 202*n + 97*n.
6644*n**2 - 2*n - 2
Collect the terms in -6*o + 67*o - 18*o - 28*o - 21*o.
-6*o
Collect the terms in 0*l**2 - 10*l**2 + 26779*l**3 + 10*l**2.
26779*l**3
Collect the terms in 7*a**2 + 1 + 13915*a - 13915*a.
7*a**2 + 1
Collect the terms in c + 1001*c**2 - 422*c**2 - 426*c**2.
153*c**2 + c
Collect the terms in 0 + 1882*u - 1845*u - 1.
37*u - 1
Collect the terms in -36*u + 72*u - 246*u - 135*u.
-345*u
Collect the terms in -8*r**3 - 14*r**3 + 47272210*r**2 + 25*r**3 - 47272210*r**2.
3*r**3
Collect the terms in 4209*w**2 + 4217*w**2 - 12634*w**2 + 4218*w**2.
10*w**2
Collect the terms in 88*x**2 + 5700*x - 5700*x - 88*x**2 + x**3 - 2*x**3.
-x**3
Collect the terms in 153*r**2 - 1 - 470*r**2 - 3 + 2.
-317*r**2 - 2
Collect the terms in -5*h**3 + 70 - 70 + 113*h.
-5*h**3 + 113*h
Collect the terms in -4*v - 741*v**3 + 601*v**3 + 5*v.
-140*v**3 + v
Collect the terms in -2578 - 262*k - 505*k + 2578.
-767*k
Collect the terms in 12 - 5 - 455*g**2 - 7 - 246*g**2 + 679*g**2.
-22*g**2
Collect the terms in 974*q**2 + 10 + 25 + 6 - 7 - 988*q**2.
-14*q**2 + 34
Collect the terms in -17778897*f + 17778897*f + 5*f**3 - 15*f**2 + 3*f**2.
5*f**3 - 12*f**2
Collect the terms in 80169 - 160343 - 24*z**3 + 80174 + 74*z**3.
50*z**3
Collect the terms in -4*h + 24 + 8*h - h.
3*h + 24
Collect the terms in -2*h**2 - h**2 + 161*h**3 - 127*h**3.
34*h**3 - 3*h**2
Collect the terms in 1878*f**3 - 391*f**3 - 396*f**3 - 1094*f**3.
-3*f**3
Collect the terms in 4 - 1151*m - 3*m**2 + 2296*m - 4 - 1139*m.
-3*m**2 + 6*m
Collect the terms in -6*b + 3*b + b - 42509 + b.
-b - 42509
Co
|
{
"pile_set_name": "DM Mathematics"
}
|
-l**2 - 9*l + 29153. Calculate r(-155).
6523
Let w(o) = -178*o - 1954. What is w(-14)?
538
Let l(q) = q**3 - 317*q**2 + 989*q - 14756. Determine l(314).
2
Let z(d) = d**2 + 1013*d - 26062. Give z(25).
-112
Let f(n) = n**3 - 40*n**2 - 1262*n - 126. What is f(61)?
1033
Let k(p) = -50*p**2 - 217*p + 6789. Give k(-14).
27
Let p(u) = 2*u**3 - 1528*u**2 + 77893*u + 5313. Determine p(55).
-22
Let f(s) = -4*s**2 + 613*s + 23721. Calculate f(-32).
9
Let r(l) = 2*l**3 + 16*l**2 - 6*l - 1823. Determine r(0).
-1823
Let j(g) = -2735*g - 1893. Determine j(-1).
842
Let v(a) = -13*a**2 - 1879*a + 18938. Give v(-154).
-4
Let k(v) = -524151*v - 2096625. Give k(-4).
-21
Let p(o) = o**2 - 91889*o - 827076. Give p(-9).
6
Let h(d) = 2*d**3 - 25*d**2 - 224*d + 145. What is h(16)?
-1647
Let h(k) = k**2 - 2969*k - 540314. Calculate h(-172).
-62
Let q(f) = 133*f**3 + 33*f**2 + 74*f + 6. Calculate q(-2).
-1074
Let d(c) = -52*c**3 - 229*c**2 + 176*c + 108. Determine d(-5).
3
Let n(f) = 7284*f + 495323. What is n(-68)?
11
Let y(i) = i**2 + 197519*i - 23. Calculate y(0).
-23
Let c(t) = 5*t**3 + 5*t**2 - 431*t - 2451. What is c(-6)?
-765
Let g(f) = -284*f - 974. What is g(-9)?
1582
Let x(j) = -2700*j**2 + 27038*j - 421. What is x(10)?
-41
Let s(j) = -5446*j + 141599. Determine s(26).
3
Let l(b) = b**3 - 242*b**2 + 2971*b + 73. Give l(13).
-5
Let l(f) = -141901*f - 141943. What is l(-1)?
-42
Let c(v) = 2*v**3 + 122*v**2 + 103*v + 733. Give c(-60).
1753
Let h(f) = -f**3 - 13*f**2 - 51*f - 121. Calculate h(-5).
-66
Let k(h) = 34*h**3 - 8124*h**2 - 536*h + 13867. Calculate k(239).
5
Let w(r) = 7*r**2 - 1737*r - 4869. Calculate w(251).
151
Let l(r) = -3*r**3 - 33*r**2 + 4*r - 193. Calculate l(-9).
-715
Let g(u) = 1332025*u - 9324181. What is g(7)?
-6
Let v(r) = -r**3 - 5*r**2 + 2648*r + 259. Give v(0).
259
Let c(y) = -y**2 + 936395*y - 6554715. Calculate c(7).
1
Let q(k) = 2322*k + 936273. Calculate q(-403).
507
Let a(o) = 29*o**3 - 262*o**2 - 80*o + 814. Determine a(9).
13
Let q(u) = u**2 + 59301*u - 1898649. Calculate q(32).
7
Let w(k) = 654*k - 18198. What is w(28)?
114
Let k(a) = 15*a**2 - 80*a - 11. Give k(-10).
2289
Let x(k) = -5*k**2 - 725*k - 11710. Give x(-17).
-830
Let g(z) = -z**2 + 32768*z + 229447. Give g(-7).
22
Let w(u) = u**3 - 230*u**2 + 1563*u - 621. What is w(223)?
-175
Let a(l) = 2*l**2 + 64*l + 507. What is a(-18)?
3
Let t(l) = -15*l**2 - 162*l - 93. Calculate t(-12).
-309
Let x(g) = -8*g**2 - 137*g + 33. Give x(-17).
50
Let b(a) = -242*a + 17332. Calculate b(72).
-92
Let c(z) = -3*z**3 - 36*z**2 - 94*z + 49. What is c(-4)?
41
Let g(r) = -665*r**2 + 131049*r - 8690. What is g(197)?
-22
Let d(v) = -38*v**3 - 16*v**2 + 28*v. Calculate d(2).
-312
Let p(d) = -9*d**2 + 336*d + 37. Give p(40).
-923
Let c(h) = h**2 - 18833*h + 188218. Give c(10).
-12
Let k(s) = -10*s**2 + 1165*s - 11604. Determine k(11).
1
Let q(u) = -350798*u + 2455580. Give q(7).
-6
Let v(f) = 2*f**2 - 2012*f - 29577. Give v(-15).
1053
Let r(k) = k**2 + 256*k + 6152. Determine r(-30).
-628
Let v(m) = -11247*m - 56181. Give v(-5).
54
Let z(m) = 62*m**2 - 2299*m + 2413. Determine z(36).
1
Let j(a) = -20715*a + 20690. What is j(1)?
-25
Let d(k) = -k**3 - 33*k**2 + 187*k + 9164. Give d(-28).
8
Let j(c) = 65448*c + 7853753. What is j(-120)?
-7
Let r(z) = 16*z**3 + 94*z**2 - 40*z - 288. What is r(-6)?
-120
Let r(d) = -1392*d + 9732. What is r(7)?
-12
Let r(q) = -q**3 + 48*q**2 + 92*q - 243. Determine r(50).
-643
Let v(i) = -i**2 - 87*i + 4048. Calculate v(-119).
240
Let a(t) = 1909*t - 68731. Calculate a(36).
-7
Let n(k) = 4*k**3 - 157*k**2 - 287*k - 77. Determine n(41).
-77
Let l(v) = v**3 + 638*v**2 + 5673*v - 381200. Give l(-628).
-4
Let v(k) = -8851*k**2 - 389449*k - 208. What is v(-44)?
12
Let x(w) = 2757*w + 38642. What is x(-14)?
44
Let p(g) = -15*g**2 - 855*g - 4608. What is p(-51)?
-18
Let d(s) = 14*s**2 + 922*s - 22577. Give d(19).
-5
Let o(t) = -272*t + 1201. What is o(3)?
385
Let a(m) = 3*m**3 + 5*m**2 - 12*m - 34. What is a(-6)?
-430
Let k(h) = -6093*h**3 - 16*h**2 + 3*h + 19. What is k(-1)?
6093
Let x(g) = -g**3 + 25*g**2 + 1114*g - 1461. Determine x(-24).
27
Let p(i) = 6722*i + 3414769. What is p(-508)?
-7
Let j(x) = -5953*x - 41639. Calculate j(-7).
32
Let g(q) = 17*q**2 - 8899*q - 4602. Determine g(524).
114
Let d(s) = -260962*s + 3392511. Determine d(13).
5
Let y(q) = -2*q**3 + 2*q**2 - 3*q - 196. Determine y(0).
-196
Let q(t) = 2303*t - 149728. Calculate q(65).
-33
Let y(i) = -359*i + 2164. Calculate y(3).
1087
Let z(x) = -x**3 + 12*x**2 - 7622*x + 30367. What is z(4)?
7
Let q(n) = n**3 - 62*n**2 - 1114*n - 2742. Determine q(-3).
15
Let f(h) = h**2 + 1240*h + 258537. Give f(-265).
162
Let l(t) = -10*t**2 + 6332*t - 13815. Calculate l(631).
67
Let k(x) = 8*x**2 + 672*x - 27356. Give k(-114).
4
Let l(s) = 1514*s + 77. Calculate l(2).
3105
Let k(m) = 2*m**2 + 139*m - 2209. Give k(14).
129
Let n(i) = -14606*i + 1066242. Calculate n(73).
4
Let g(p) = -4*p**2 - 5266*p - 36659. Determine g(-7).
7
Let n(b) = 473*b + 88843. Determine n(-188).
-81
Let d(x) = 4*x**3 - 930*x**2 + 419*x + 10440. Give d(232).
0
Let v(d) = -6*d**2 + 16109*d + 48389. Determine v(-3).
8
Let i(q) = 6*q**2 + 354*q - 8244. What is i(-77)?
72
Let b(a) = a**3 + 221*a**2 + 93*a + 20553. What is b(-221)?
0
Let s(y) = 91*y**3 + 1247*y**2 - 44*y + 29. Determine s(-14).
-4647
Let m(c) = 4*c**2 + 134725*c + 538920. What is m(-4)?
84
Let g(f) = f**3 - 40*f**2 - 155*f - 11013. Give g(48).
-21
Let l(w) = 4316*w - 159665. Give l(37).
27
Let o(w) = -526080*w - 8943358. Give o(-17).
2
Let o(d) = 7*d**3 + 10*d**2 - 67*d - 293. What is o(-4)?
-313
Let v(j) = -4*j**3 - 45*j**2 - 121*j + 80. What is v(-9)?
440
Let i(h) = -h**2 + 143266*h + 4298875. Give i(-30).
-5
Let z(m) = -m**2 - 170*m + 4025. Calculate z(-191).
14
Let c(r) = -523*r**2 + 6*r + 36. Give c(0).
36
Let t(v) = v**3 + 3*v**2 + 52*v - 418. What is t(10)?
1402
Let g(x) = -1336*x + 28191. Give g(21).
135
Let t(a) = 25*a**3 - 1298*a**2 - 2693*a - 1. Calculate t(-2).
-7
Let j(q) = -33*q**2 - 292*q + 677. What is j(2)?
-39
Let w(p) = -p**2 + 72*p - 1488. Give w(57).
-633
Let t(f) = 34497*f + 310489. Determine t(-9).
16
Let s(j) = j**2 + 573*j - 58146. Give s(88).
22
Let s(i) = 13*i**2 + 15*i + 45. Give s(-7).
577
Let y(w) = 19676*w - 865734. What is y(44)?
10
Let k(m) = -814*m + 786309. Give k(966).
-15
Let w(j) = -j**2 + 98*j - 2486. Determine w(20).
-926
Let y(n) = -4*n**3 - 3*n**2 - 89*n - 418. Calculate y(-7).
1430
Let y(d) = 2*d**2 - 247*d + 2375. What is y(10)?
105
Let p(c) = 115*c + 823. Give p(-6).
133
Let x(u) = u**2 + 7049*u - 14094. What is x(2)?
8
Let k(h) = h**3 + 354*h**2 + 1451*h + 17866. Determine k(-350).
16
Let w(a) = -3694*a - 55492. Determine w(-15).
-82
Let k(m) = -76*m + 11479. Calculate k(151).
3
Let p(r) = 54*r - 592. Determine p(25).
758
Let q(y) = -y**2 - 33*y + 1105. Give q(-44).
621
Let i(r) = 8*r**3 - 448*r**2 - 23*r + 959. Determine i(56).
-329
Let o(a) = -22578*a + 541857. What is o(24)?
-15
Let c(k) = -2960*k - 290107. Calculate c(-98).
-27
Let t(j) = 1135*j - 137300. Give t(121).
35
Let f(u) = u**3 - 52*u**2 - 258*u - 1437. Determine f(57).
102
Let s(h) = 13*h**2 - 128*h + 993. Give s(10).
1013
Let x(k) = 2737*k + 11177. What is x(-4)?
229
Let h(r) = -10*r**2 - 22*r + 20. Determine h(-2).
24
Let t(u) = 28*u**2 - 41*u - 2502. Determine t(-9).
135
Let d(k) = 5773*k - 404070. Determine d(70).
40
Let k(f) = -79*f + 5817. Determine k(72).
129
Let f(k) = 8610*k + 490376. Give f(-57).
-394
Let y(x) = -1083*x - 3446. Determine y(-4).
886
Let z(k) = -k**2 - 201*k - 8426. Calculate z(-136).
414
Let w(g) = -g**3 - 9*g**2 + 398*g + 4925. What is w(-13)?
427
Let u(d) = 4*d**2 - 70028*d - 1121481. Calculate u(-16).
-9
Let m(h) = h**3 + 37*h**2 + 248*h + 56. Determine m(-20).
1896
Let n(q) = -q**3 - 2*q**2 - 68*q + 748. What is n(0)?
748
Let g(s) = s**3 - 18*s**2 - 177*s + 1311. What is g(21)?
-1083
Let u(b) = 13325*b**2 - 39997*b + 12. Give u(3).
-54
Let u(p) = -22627*p - 22730. Calculate u(-1).
-103
Let n(y) = -139122*y + 278245. Give n(2).
1
Let x(s) = -19*s**2 + 220*s - 123. What is x(8)?
421
Let l(j) = -11*j**2 - 7730*j - 106059. Determine l(-14).
5
Let t(y) = 1058*y - 5812. What is t(7)?
1594
Let t(c) = 8*c**2 + 573*c - 3380. Determine t(-77).
-69
Le
|
{
"pile_set_name": "DM Mathematics"
}
|
d + 5350. Round d to the nearest 100.
1100
Let s = 22061 + -21908.976. Let d = s + -0.024. Let t = d + -152.00067. What is t rounded to 4 dps?
-0.0007
Let v = 50.41057 + -36.4075. Let p = 39 + -25. Let d = v - p. Round d to 4 dps.
0.0031
Let h = -80.1 - -831.1. Let s = h - 712.2. Round s to the nearest 10.
40
Let q = 25.066 - 14.541. What is q rounded to 0 dps?
11
Let i = 19136262.99829 - 19136453. Let r = 1067 + -1257. Let y = i - r. What is y rounded to four dps?
-0.0017
Let t = -40261 + 40193.852. Let q = -374 + 307. Let f = q - t. Round f to one decimal place.
0.1
Let z = 123.5623 - 2.5923. Let y = 122 - z. Let w = y + -1.0382. What is w rounded to three dps?
-0.008
Let f = -0.448 + 0.38. Let a = 14.10138031 + -14.03338. Let h = f + a. What is h rounded to 7 dps?
0.0000003
Let n = -182227 + 182047.646. Let y = 181.4 + n. Round y to 1 decimal place.
2
Let w = -1788.13 - -1899.7. What is w rounded to the nearest 100?
100
Suppose 0 = -b + 5*y + 2374, b + 0*y = 3*y + 2364. Let d(f) = 1568*f**2 - 2*f - 1. Let c be d(-1). Let t = b - c. Round t to the nearest 100.
800
Let w = -2833256389.263 - -2833257889.262996869. Let p = 1500 - w. Round p to 7 dps.
0.0000031
Let o = -221.06 + 652.4. What is o rounded to the nearest ten?
430
Let o = 0.06985 + -0.0698516388. What is o rounded to 7 decimal places?
-0.0000016
Let h = -22796 + -28886. Let t be h/(-4) + 56/(-112). What is t rounded to the nearest one thousand?
13000
Let x = -18.344 - -34.953. What is x rounded to one decimal place?
16.6
Let m = -3141 - -1630. Let p = m - -1511.00857. What is p rounded to 4 decimal places?
0.0086
Let n = 12592333 - 17872333. Round n to the nearest 100000.
-5300000
Let n(o) = 2782*o**2 + 2*o - 4. Let v be (-10)/45 + 0 + 112/18. Let l(g) = g - 10. Let p be l(v). Let z be n(p). Round z to the nearest one thousand.
45000
Suppose -5*g + 28887649 = -74512866. Suppose -34319897 = -2*d + g. What is d rounded to the nearest one million?
28000000
Let h = -71425 - -71456.0046. Let x = 29.26 - -1.74. Let p = x - h. What is p rounded to 3 dps?
-0.005
Let k = 0.461 - 33.223. What is k rounded to the nearest integer?
-33
Let m(t) = -3211*t**3 - 15*t**2 + 19*t. Let f be m(14). Let b = 2163658 + f. What is b rounded to the nearest one million?
-7000000
Let h = 5.365 - 5.4. Let a = h - -2.835. Let b = a - 2.84. Round b to one dp.
0
Let c = 63.280862240366 + -0.168930562766. Let r = c + -0.1119333576. Let h = r + -63. What is h rounded to six decimal places?
-0.000002
Let z = 2676648.90587 - 11.90587. Let k = -2676636.998200463 + z. Let i = k - 0.0018. What is i rounded to seven decimal places?
-0.0000005
Let q = -2205916 + 2206211.9554. Let i = -0.0446 - q. Let l = i - -296.000123. Round l to five decimal places.
0.00012
Let f = 11016571139 + -11016571132.740001243. Let n = f + -6.26. What is n rounded to seven dps?
-0.0000012
Let o = -275.02315 + 274.9. Let b = 0.12 + o. Round b to four dps.
-0.0032
Let u = 17.355 + 1.032. What is u rounded to 1 dp?
18.4
Let r = -1040.2 - -1040.199994337. What is r rounded to 5 decimal places?
-0.00001
Let c = 486.9 + -460. Let q = 136.8 - 150.1. Let z = c - q. What is z rounded to the nearest ten?
40
Let y = 16.31 + -882.31. Let s = 865.99999713 + y. Round s to 7 dps.
-0.0000029
Let c = 2899 - 2899.281. What is c rounded to one decimal place?
-0.3
Let u be (-9 + 1 - (0 + -14)) + 51974. Round u to the nearest one thousand.
52000
Let b(s) = 2468520*s + 18. Let w be b(5). Suppose 0 = -14*v + 17*v - w. Suppose v + 109794 = 11*y. What is y rounded to the nearest one hundred thousand?
400000
Let g be (-202853)/(-2) - (34/(-4) + 10). Suppose 3*s + 2*b - 304210 = 0, 0*s - 5*b = s - g. Round s to the nearest one thousand.
101000
Let f = -0.34 + -4.76. Let b = -0.27061 - -5.37091. Let r = f + b. Round r to 4 decimal places.
0.0003
Suppose -2*a + 10 = 0, -5*f - 4*a + 4587914 = -462106. Round f to the nearest 100000.
1000000
Let a = -22950 - -23251.21. What is a rounded to zero dps?
301
Let i = -102 - -43. Let c = 44.5 + -98.8. Let p = i - c. Round p to 0 dps.
-5
Let a = 1682460 + -1682447.60457. Let h = -1155.01243 + a. Let t = -1142 - h. What is t rounded to 2 dps?
0.62
Let n = 2717.0031 - 2717. What is n rounded to two decimal places?
0
Suppose 0 = 123*u + 54*u + 13475010. Round u to the nearest 10000.
-80000
Let a(o) = -o**3 + 9*o**2 - 3*o - 14. Let y be a(7). Let d be ((y/4)/(-9))/(2/(-40)). Let h = -74 + d. What is h rounded to the nearest 10?
-40
Suppose 2*i - 4*f = 2227228, i - 868642 = -2*f + 244944. Round i to the nearest one hundred thousand.
1100000
Let d = -1 - -5. Let b be (-167595)/(-105) + (0 + 1)/(-7). Let l be b/(d + -7) + -2. What is l rounded to the nearest 100?
-500
Let u = 10223.0000016507 + -10223. Round u to six decimal places.
0.000002
Let t(h) = -9026917*h + 2 + 0 + 2666161*h. Let x be t(-1). Let p = -8839242 - x. Round p to the nearest one million.
-15000000
Let s = 381917 - 381921.0999296. Let t = s - -4.1. Round t to five decimal places.
0.00007
Let v be (-2245319072)/42 - 62/651. Let g be -2 + v/12 - 2/(-12). What is g rounded to the nearest one hundred thousand?
-4500000
Suppose -5*f - 154461 = -4*s, -595*f = 4*s - 594*f - 154431. What is s rounded to the nearest 10000?
40000
Let s = -363 + 550. Let i = -192.4637 + 2.8937. Let b = i + s. Round b to one dp.
-2.6
Let n = 0.43597 + -0.26684. Let c = n - 11.41813. Let l = -11.2 - c. Round l to 2 dps.
0.05
Let f = 24.61 - -185.79. Let h = f - 185. Let c = 5.8 - h. Round c to 0 decimal places.
-20
Let x = 359 + -340.1. Let d = x + 256.6. What is d rounded to the nearest one hundred?
300
Let s be 748/(-14) + (-20)/35. Let y be 360/s*2195*-6. Round y to the nearest 1000.
88000
Let d = -39.113 + 39.11290191. Round d to 5 dps.
-0.0001
Let a = 2.593 + 0.007. Let m = a - -95.4. Let n = -97.999973 + m. Round n to 4 decimal places.
0
Suppose 0 = 6*b + 9 + 3. Let z be (-3*b/4)/(3/14). Let r be z/14 - (-13319997)/6. Round r to the nearest one hundred thousand.
2200000
Let j = -153028.99880459 - -153029. What is j rounded to four decimal places?
0.0012
Suppose 2*h - 4*m = -168630, 61515 + 191410 = -3*h + 10*m. Round h to the nearest one hundred.
-84300
Let l = 61.7 - 63. Let i = l + 4.7. Let d = i - 6. What is d rounded to the nearest integer?
-3
Let x = -1363 + 1412.55. Let g = -44.7 + x. Round g to one decimal place.
4.9
Let i = 3148 + 42821. What is i rounded to the nearest 1000?
46000
Let p = 0.035989 - 0.036029923. Round p to 6 decimal places.
-0.000041
Let x = 4520.07 - -521.63. Let j = -4788 + x. Let v = j + -266. Round v to the nearest integer.
-12
Let c = 459.9498 + 0.0502. Let w = 460.000000466 - c. Round w to seven dps.
0.0000005
Let k = 6 - 0. Let r be (98 + -1)/(1/(k + -5)). Let x = -61 + r. Round x to the nearest 10.
40
Let v = -1073.278932 - -1073.3. Let w = v - 154.094068. Let s = w + 154. Round s to 2 decimal places.
-0.07
Let i = -1.1167 + -3551.7633. Let n = -3603.880019 - i. Let f = n - -51. Round f to five decimal places.
-0.00002
Let a = 76 - 77. Let i(t) be the first derivative of 332999*t**3/3 + t**2/2 + 2*t - 7. Let w be i(a). Round w to the nearest one hundred thousand.
300000
Let m = 75.862 - 75. Let a = m - -0.198. What is a rounded to the nearest integer?
1
Let k = -3092 + 3077.461. Let d = 0.061 - k. Let o = d + -14.59999907. Round o to 7 decimal places.
0.0000009
Let x = 5750.799 + -3.799. Let k = 6230.2 - x. Round k to the nearest ten.
480
Let m = -69157 - -68879.21. What is m rounded to the nearest ten?
-280
Suppose -c + 10 = 13, 4*y = -3*c - 29. Let n be (-76 + 81)*8*58/y. What is n rounded to the nearest 100?
-500
Let w = 440.35 + -5.35. Let u = w + -436.97. Let l = -1.97000273 - u. Round l to 7 dps.
-0.0000027
Let b = 126 + -244. Let r = 118.068 + b. Round r to 1 dp.
0.1
Let f = -0.7793 + 0.84436. Round f to three decimal places.
0.065
Let g(b) = -b**3 - 40*b**2 - 43*b - 152. Let x be g(-39). Suppose -x*s = -8*k + 4*k - 29600, -s = 3*k + 22200. Round k to the nearest 100.
-7400
Let z(x) = 6383*x**2 - 3*x + 24. Let r be z(9). Round r to the nearest ten thousand.
520000
Let k = -265240642711.999999669 - -265240642229. Let n = 1079 + -596. Let a = k + n. Round a to 7 dps.
0.0000003
Let r(z) be the third derivative of z**5/60 + z**4/4 + z**3 + 19*z**2. Let g b
|
{
"pile_set_name": "DM Mathematics"
}
|
30423, -98630424, -98630425?
-98630426
What is the next term in 3413822, 3413752, 3413682, 3413612?
3413542
What is the next term in 2465, 4541, 6227, 7523, 8429, 8945, 9071?
8807
What comes next: 69937, 280268, 630819, 1121590, 1752581, 2523792?
3435223
What is the next term in -9640, -18782, -27436, -35608, -43304, -50530, -57292?
-63596
What is the next term in 5456435, 10912837, 16369239, 21825641?
27282043
What is next in -1087262318, -1087262319, -1087262320, -1087262321?
-1087262322
What is next in -53993252, -53993238, -53993224, -53993210?
-53993196
What is next in -635, -2300, -5079, -8972?
-13979
What is the next term in 116998, 468081, 1053220, 1872415, 2925666?
4212973
What comes next: 414667, 829340, 1244013, 1658686, 2073359, 2488032?
2902705
What is next in 5, -50, -159, -346, -635, -1050, -1615?
-2354
What comes next: 10219763, 20439515, 30659259, 40878995, 51098723?
61318443
What comes next: -4175, -6967, -9761, -12557, -15355?
-18155
What is the next term in 5597295, 11194595, 16791895?
22389195
What is next in -24167995, -24168013, -24168057, -24168139, -24168271, -24168465, -24168733?
-24169087
What is the next term in -252386, -504704, -756968, -1009178?
-1261334
What comes next: -5830688, -11661389, -17492104, -23322839, -29153600, -34984393, -40815224?
-46646099
What comes next: 1043531, 4173985, 9391409, 16695803?
26087167
What comes next: 85159, 170100, 255043, 339988, 424935, 509884, 594835?
679788
What comes next: 332502282, 665004565, 997506848, 1330009131, 1662511414?
1995013697
What is next in 4634935, 4634939, 4634943, 4634947, 4634951, 4634955?
4634959
What comes next: 271774, 543548, 815330, 1087120, 1358918, 1630724, 1902538?
2174360
What is next in -42168, -84184, -126064, -167820, -209464, -251008, -292464, -333844?
-375160
What comes next: -2867, -23333, -79187, -188219, -368219, -636977?
-1012283
What is the next term in -239259, -957032, -2153321, -3828126, -5981447?
-8613284
What is the next term in -1580, -1700, -1814, -1922, -2024, -2120, -2210?
-2294
What comes next: 16923, 33504, 49737, 65622, 81159, 96348, 111189?
125682
What is next in -118107, -118122, -118137, -118152, -118167, -118182?
-118197
What is next in -284, -1125, -2674, -4931?
-7896
What comes next: -42550, -39165, -35780, -32395, -29010, -25625?
-22240
What is the next term in 35183, 35174, 35153, 35114, 35051, 34958?
34829
What is next in 6192, 6564, 6936?
7308
What comes next: 5285346, 5285325, 5285304?
5285283
What comes next: 7067, 7483, 7885, 8267, 8623, 8947, 9233, 9475?
9667
What is the next term in -30052416, -30052394, -30052372, -30052350, -30052328, -30052306?
-30052284
What is the next term in -1790281, -1790279, -1790277?
-1790275
What is the next term in 181585367, 181585369, 181585371, 181585373, 181585375, 181585377?
181585379
What is the next term in 1053, 838, 493, 18, -587, -1322?
-2187
What is the next term in 218337, 437031, 655725, 874419, 1093113?
1311807
What comes next: 94150, 94123, 94082, 94027?
93958
What is the next term in -3625, -14803, -25983, -37165?
-48349
What comes next: -138, 717, 2376, 4839, 8106?
12177
What comes next: 1280414, 2560834, 3841254, 5121674, 6402094?
7682514
What comes next: 4615423, 9230798, 13846173, 18461548, 23076923?
27692298
What is next in -2296744, -4593485, -6890192, -9186847, -11483432, -13779929, -16076320, -18372587?
-20668712
What is the next term in 57, -357, -879, -1509?
-2247
What comes next: -2678897, -10715591, -24110087, -42862391, -66972509?
-96440447
What is next in -1208075, -1208021, -1207969, -1207919?
-1207871
What is the next term in -169356, -169364, -169374, -169386, -169400, -169416, -169434?
-169454
What is next in -2988, -2871, -2588, -2055, -1188, 97?
1884
What comes next: 15426, 19243, 23060, 26877, 30694?
34511
What is the next term in 2749586, 2749581, 2749572, 2749559, 2749542?
2749521
What comes next: 13911415, 13911423, 13911437, 13911457?
13911483
What is next in 1060201218, 1060201220, 1060201222, 1060201224, 1060201226, 1060201228?
1060201230
What comes next: 3178061, 6356119, 9534177, 12712235?
15890293
What is next in 16110, 14868, 13626?
12384
What is next in -6349, -5728, -4693, -3244, -1381, 896?
3587
What is next in 79899, 79920, 79925, 79908, 79863, 79784, 79665, 79500?
79283
What is the next term in -2120, -3545, -4952, -6335, -7688?
-9005
What is next in -34318871, -68637746, -102956621, -137275496, -171594371, -205913246?
-240232121
What is next in 46432, 46555, 46666, 46759, 46828, 46867, 46870?
46831
What comes next: -49647, -198551, -446719, -794151, -1240847, -1786807?
-2432031
What is the next term in 15274, 14916, 14274, 13312, 11994?
10284
What comes next: 787648, 787663, 787678, 787693?
787708
What comes next: -61967579, -61967580, -61967581?
-61967582
What is the next term in 295553, 591082, 886611, 1182140, 1477669?
1773198
What is next in -9362, -9177, -8870, -8441, -7890, -7217, -6422?
-5505
What comes next: 190, 458, 806, 1234, 1742, 2330, 2998?
3746
What comes next: -162814, -162757, -162700, -162643?
-162586
What is the next term in -65214845, -65214851, -65214861, -65214875?
-65214893
What comes next: -15364, -60518, -135774, -241132, -376592?
-542154
What is the next term in -907498, -907365, -907232, -907099?
-906966
What comes next: 12675, 12728, 12829, 12978?
13175
What is next in 580, -192, -952, -1700?
-2436
What is the next term in 430, 1044, 1944, 3130, 4602, 6360?
8404
What is next in 16889, 33640, 50427, 67256, 84133?
101064
What is the next term in 62153507, 62153504, 62153501?
62153498
What comes next: 92734040, 92734037, 92734032, 92734025, 92734016?
92734005
What is next in 219107, 218854, 218601, 218348?
218095
What is the next term in 3599, 3497, 3331, 3101, 2807, 2449, 2027?
1541
What is the next term in -4616, -8268, -11920, -15572, -19224, -22876?
-26528
What is the next term in -40511, -40530, -40549, -40568, -40587?
-40606
What comes next: 262341, 262448, 262555, 262662, 262769?
262876
What is the next term in -4195856, -8391714, -12587572, -16783430?
-20979288
What is next in 735, 1626, 2339, 2886, 3279?
3530
What comes next: 335699, 671928, 1008175, 1344446, 1680747, 2017084, 2353463, 2689890?
3026371
What comes next: -1665405, -1665329, -1665289, -1665291, -1665341, -1665445, -1665609?
-1665839
What is the next term in 3244, 6488, 9738, 13000, 16280, 19584, 22918, 26288?
29700
What is the next term in -11385, -45502, -102347, -181920, -284221, -409250, -557007?
-727492
What comes next: -179, -14481, -53291, -128861, -253443, -439289?
-698651
What comes next: 35098, 70165, 105232, 140299, 175366?
210433
What is the next term in -9161, -82013, -282233, -673505, -1319513?
-2283941
What is next in -8943, -35740, -80365, -142830, -223147?
-321328
What is the next term in -1328, -5496, -12442, -22166, -34668?
-49948
What is next in -19751, -39433, -59109, -78779?
-98443
What is the next term in 21465535, 42931069, 64396603, 85862137, 107327671?
128793205
What is the next term in 1061, 1690, 2745, 4226?
6133
What comes next: 5315, 8385, 9221, 7823?
4191
What comes next: 24613273, 49226551, 73839829, 98453107, 123066385, 147679663?
172292941
What is next in -55944, -111850, -167706, -223512, -279268, -334974?
-390630
What is the next term in -4823790, -4823805, -4823830, -4823865, -4823910, -4823965, -4824030?
-4824105
What is next in 2277, 4540, 6767, 8964, 11137?
13292
What is the next term in 855, 181, -567, -1383, -2261, -3195?
-4179
What is next in 3223589, 3223585, 3223579, 3223571?
3223561
What is the next term in -1260881, -1260864, -1260847, -1260830, -1260813?
-1260796
What is the next term in -7366, -7458, -7612, -7822, -8082?
-8386
What is next in 96634, 386289, 868982, 1544659, 2413266, 3474749?
4729054
What comes next: -38, -384, -822, -1256, -1590?
-1728
What is next in 23763248, 23763250, 23763252, 23763254?
23763256
What is next in 131150, 524625, 1180424, 2098553, 3279018, 4721825, 6426980?
8394489
What comes next: -150662, -602642, -1355942, -2410562, -3766502, -5423762, -7382342?
-9642242
What comes next: 44634, 44432, 44066, 43512, 42746?
41744
What is the next term in -4638, -18601, -41874, -74457?
-116350
What is the next term in 6323, 50592, 170841, 405080, 791319, 1367568,
|
{
"pile_set_name": "DM Mathematics"
}
|
here between 1:06 PM and 8:32 PM?
446
What is 62 minutes before 7:00 PM?
5:58 PM
How many minutes are there between 9:36 AM and 5:38 PM?
482
What is 592 minutes before 3:49 PM?
5:57 AM
How many minutes are there between 11:16 AM and 10:47 PM?
691
What is 249 minutes after 8:45 PM?
12:54 AM
How many minutes are there between 5:45 PM and 3:52 AM?
607
What is 667 minutes before 10:14 PM?
11:07 AM
How many minutes are there between 1:38 AM and 12:06 PM?
628
What is 10 minutes after 11:20 PM?
11:30 PM
What is 170 minutes before 6:35 AM?
3:45 AM
What is 353 minutes after 3:25 PM?
9:18 PM
How many minutes are there between 9:31 PM and 6:26 AM?
535
What is 552 minutes before 1:48 PM?
4:36 AM
What is 184 minutes before 8:34 PM?
5:30 PM
How many minutes are there between 9:23 PM and 10:54 PM?
91
What is 320 minutes after 5:03 PM?
10:23 PM
What is 482 minutes before 9:40 AM?
1:38 AM
What is 324 minutes before 6:32 AM?
1:08 AM
What is 414 minutes before 5:48 PM?
10:54 AM
What is 430 minutes before 1:46 PM?
6:36 AM
How many minutes are there between 10:27 AM and 11:21 AM?
54
What is 53 minutes before 1:44 PM?
12:51 PM
What is 501 minutes before 11:32 PM?
3:11 PM
How many minutes are there between 6:16 AM and 4:55 PM?
639
What is 448 minutes after 9:03 AM?
4:31 PM
What is 165 minutes after 4:55 PM?
7:40 PM
How many minutes are there between 10:31 AM and 3:14 PM?
283
What is 195 minutes before 2:33 AM?
11:18 PM
How many minutes are there between 4:34 PM and 8:37 PM?
243
How many minutes are there between 9:33 PM and 7:58 AM?
625
What is 296 minutes after 4:57 AM?
9:53 AM
What is 9 minutes after 8:01 AM?
8:10 AM
What is 443 minutes after 2:34 PM?
9:57 PM
How many minutes are there between 1:50 AM and 1:22 PM?
692
How many minutes are there between 9:44 AM and 4:29 PM?
405
How many minutes are there between 10:19 AM and 10:25 AM?
6
What is 401 minutes after 11:38 PM?
6:19 AM
How many minutes are there between 9:08 PM and 9:47 PM?
39
What is 246 minutes after 3:22 PM?
7:28 PM
How many minutes are there between 11:46 AM and 1:37 PM?
111
What is 50 minutes before 9:31 AM?
8:41 AM
How many minutes are there between 1:48 PM and 11:32 PM?
584
What is 315 minutes after 5:15 AM?
10:30 AM
How many minutes are there between 3:22 PM and 2:06 AM?
644
How many minutes are there between 4:34 AM and 9:29 AM?
295
How many minutes are there between 5:00 PM and 5:52 PM?
52
How many minutes are there between 12:21 PM and 8:13 PM?
472
How many minutes are there between 1:10 AM and 8:19 AM?
429
How many minutes are there between 3:35 AM and 2:03 PM?
628
How many minutes are there between 4:37 AM and 8:47 AM?
250
What is 418 minutes before 4:02 AM?
9:04 PM
What is 328 minutes after 8:38 PM?
2:06 AM
What is 405 minutes after 9:41 PM?
4:26 AM
How many minutes are there between 10:30 PM and 7:54 AM?
564
What is 501 minutes before 6:06 AM?
9:45 PM
How many minutes are there between 9:06 AM and 2:30 PM?
324
What is 468 minutes before 12:48 PM?
5:00 AM
What is 310 minutes after 12:48 AM?
5:58 AM
What is 705 minutes before 2:15 PM?
2:30 AM
How many minutes are there between 5:44 PM and 11:28 PM?
344
What is 321 minutes before 5:26 AM?
12:05 AM
How many minutes are there between 5:51 AM and 11:11 AM?
320
What is 54 minutes before 5:04 AM?
4:10 AM
What is 564 minutes after 10:32 PM?
7:56 AM
What is 699 minutes before 12:52 PM?
1:13 AM
How many minutes are there between 7:02 PM and 4:15 AM?
553
How many minutes are there between 5:39 PM and 8:18 PM?
159
What is 252 minutes after 1:16 AM?
5:28 AM
How many minutes are there between 11:15 PM and 5:08 AM?
353
How many minutes are there between 10:30 PM and 5:58 AM?
448
What is 217 minutes after 10:28 AM?
2:05 PM
What is 655 minutes before 8:43 AM?
9:48 PM
How many minutes are there between 12:15 AM and 11:10 AM?
655
What is 583 minutes after 3:57 PM?
1:40 AM
How many minutes are there between 5:48 AM and 11:01 AM?
313
What is 429 minutes before 5:00 PM?
9:51 AM
What is 420 minutes after 2:21 PM?
9:21 PM
How many minutes are there between 12:44 AM and 8:10 AM?
446
How many minutes are there between 11:02 AM and 10:30 PM?
688
How many minutes are there between 4:24 AM and 6:39 AM?
135
How many minutes are there between 1:13 AM and 9:06 AM?
473
What is 103 minutes after 8:42 AM?
10:25 AM
What is 587 minutes after 11:48 AM?
9:35 PM
How many minutes are there between 1:37 PM and 3:52 PM?
135
How many minutes are there between 7:41 PM and 6:24 AM?
643
What is 331 minutes after 9:42 AM?
3:13 PM
How many minutes are there between 1:21 PM and 6:41 PM?
320
What is 49 minutes after 2:32 AM?
3:21 AM
How many minutes are there between 11:49 PM and 10:56 AM?
667
What is 153 minutes before 5:23 PM?
2:50 PM
What is 320 minutes before 11:42 PM?
6:22 PM
What is 627 minutes before 1:24 PM?
2:57 AM
How many minutes are there between 2:47 PM and 12:00 AM?
553
How many minutes are there between 6:58 PM and 12:58 AM?
360
What is 171 minutes after 2:27 PM?
5:18 PM
How many minutes are there between 2:29 AM and 12:15 PM?
586
How many minutes are there between 8:19 AM and 1:37 PM?
318
What is 142 minutes after 11:12 AM?
1:34 PM
How many minutes are there between 9:39 PM and 8:42 AM?
663
What is 367 minutes before 4:03 PM?
9:56 AM
What is 585 minutes before 7:27 PM?
9:42 AM
What is 265 minutes before 8:28 PM?
4:03 PM
How many minutes are there between 1:10 AM and 9:21 AM?
491
How many minutes are there between 4:40 AM and 12:16 PM?
456
What is 670 minutes after 7:41 AM?
6:51 PM
What is 50 minutes after 6:10 PM?
7:00 PM
What is 502 minutes before 9:31 PM?
1:09 PM
What is 291 minutes after 3:13 PM?
8:04 PM
How many minutes are there between 7:42 AM and 11:57 AM?
255
How many minutes are there between 4:03 PM and 7:18 PM?
195
How many minutes are there between 12:37 PM and 10:28 PM?
591
How many minutes are there between 6:54 PM and 4:40 AM?
586
What is 166 minutes before 11:43 AM?
8:57 AM
What is 623 minutes before 3:04 AM?
4:41 PM
How many minutes are there between 2:56 AM and 8:50 AM?
354
What is 429 minutes after 7:09 AM?
2:18 PM
What is 50 minutes before 12:25 AM?
11:35 PM
What is 293 minutes before 1:16 PM?
8:23 AM
What is 121 minutes before 1:40 PM?
11:39 AM
What is 592 minutes before 5:10 PM?
7:18 AM
How many minutes are there between 11:33 AM and 6:11 PM?
398
What is 302 minutes after 12:01 PM?
5:03 PM
How many minutes are there between 8:43 AM and 7:06 PM?
623
What is 454 minutes before 5:51 PM?
10:17 AM
What is 223 minutes after 1:26 AM?
5:09 AM
What is 570 minutes after 6:44 PM?
4:14 AM
What is 76 minutes after 9:40 AM?
10:56 AM
How many minutes are there between 7:00 AM and 12:31 PM?
331
How many minutes are there between 5:47 AM and 1:10 PM?
443
How many minutes are there between 8:06 PM and 8:59 PM?
53
What is 612 minutes before 2:17 AM?
4:05 PM
How many minutes are there between 2:56 AM and 11:17 AM?
501
What is 386 minutes after 12:47 AM?
7:13 AM
How many minutes are there between 12:38 AM and 1:31 AM?
53
How many minutes are there between 6:05 AM and 7:43 AM?
98
How many minutes are there between 6:22 AM and 9:07 AM?
165
How many minutes are there between 7:37 AM and 5:54 PM?
617
What is 473 minutes before 2:48 PM?
6:55 AM
How many minutes are there between 2:04 PM and 4:36 PM?
152
How many minutes are there between 7:30 AM and 5:48 PM?
618
How many minutes are there between 10:20 AM and 8:47 PM?
627
What is 625 minutes before 11:39 AM?
1:14 AM
What is 578 minutes before 5:19 AM?
7:41 PM
What is 33 minutes after 3:05 PM?
3:38 PM
What is 639 minutes before 5:11 AM?
6:32 PM
What is 115 minutes after 4:37 AM?
6:32 AM
How many minutes are there between 10:31 AM and 7:21 PM?
530
What is 662 minutes after 12:34 AM?
11:36 AM
How many minutes are there between 8:19 PM and 10:51 PM?
152
What is 507 minutes after 7:19 PM?
3:46 AM
What is 309 minutes before 6:02 AM?
12:53 AM
What is 578 minutes before 3:21 AM?
5:43 PM
What is 553 minutes after 9:02 AM?
6:15 PM
What is 585 minutes after 5:07 PM?
2:52 AM
What is 692 minutes before 9:19 PM?
9:47 AM
How many minutes are there between 11:57 PM and 12:17 AM?
20
What is 490 minutes after 4:30 AM?
12:40 PM
What is 655 minutes after 3:39 PM?
2:34 AM
How many minutes are there between 8:12 PM and 5:31 AM?
559
How many minu
|
{
"pile_set_name": "DM Mathematics"
}
|
e (-3 - -4)/(c/1). Sort 0.3, 0.2, g in increasing order.
0.2, 0.3, g
Let g = -24 + 44. Suppose 3*f = -2*f - g. Put 3, 2, f in decreasing order.
3, 2, f
Let s = -12 + 7. Let w(c) = -c**3 + 2*c**2 - c - 2. Let g be w(2). Put -1, g, s in ascending order.
s, g, -1
Let v = 5.5 + -5.1. Let y = -3 - -2.4. Let s = v - y. Put s, 3, 5 in descending order.
5, 3, s
Let p = 2.28 + -2.18. Let k = 0.2 + -1.2. Sort k, 5/4, p.
k, p, 5/4
Let p(o) = o**2 + 6*o + 1. Let y be p(-6). Suppose 7*c - 2*c = -3*d + 10, -4*d + 23 = -3*c. Suppose -3*f + u = -d, 3*f - 6*f - u - 5 = 0. Sort y, f, -1.
-1, f, y
Suppose 2*u + 5*a - 10 = 0, -3*u + 5*a - 3*a = 4. Suppose -y - 1 = -u. Let s be (-4)/(-22) - ((-31)/11 + 8). Sort -4, y, s in descending order.
y, -4, s
Let j = -186/5 + 467/10. Let q = -97/10 + j. Sort 2, q, -1/2.
-1/2, q, 2
Let j be (-1)/(-1 + (-376)/(-370)). Let r = -61 - j. Put 0, 0.5, r in descending order.
r, 0.5, 0
Let q = 2569 - 20439/8. Let h = q + -14. Sort -2, 2, h in decreasing order.
2, h, -2
Suppose 5*z = 2*v + 3, -v + 0 = 5*z + 9. Let n = 5 + -9. Let p = -0.2 + -0.3. Sort n, p, z.
n, z, p
Let r = 0.5 - -1. Let c = r + 0.5. Sort c, 3, 2/11 in decreasing order.
3, c, 2/11
Let m be 2/11 + (-240)/594. Sort -2, 0, m in ascending order.
-2, m, 0
Let l = 0 + 0. Let x be (-34)/(-51) + 8/6. Put l, x, -5 in ascending order.
-5, l, x
Let o = 0.2 - -1.8. Let h be (-1)/(-4 - -3) + -12. Let s = h + 6. Sort s, o, -2/3 in descending order.
o, -2/3, s
Let c = -18/13 - -7/52. Put -5, -1, c in decreasing order.
-1, c, -5
Let q = 5 - 7. Let d be 22/6 + (-2)/(-6). Sort 2, q, d.
q, 2, d
Suppose -3*j - 2*q = -4*j - 15, q = -3*j - 45. Let t(i) = -i - 17. Let l be t(j). Put l, -0.3, -5 in increasing order.
-5, l, -0.3
Let z = 1/7 - -5/14. Let a = -15 - -27. Let d be -4*2/a + 2. Sort -2, z, d in descending order.
d, z, -2
Let q be 7/(1/((-1)/(-1))). Let f(c) = -c**2 + 7*c - 1. Let y be f(q). Let i be (-2)/(-4)*y*4. Sort i, 2, 5.
i, 2, 5
Let f = -58 - -59. Put f, -5, 0, -1 in descending order.
f, 0, -1, -5
Suppose t = 2*t + 1. Let p be (-8)/t - (-9)/(-3). Suppose 0*l + 15 = p*l. Sort 4, -5, l in descending order.
4, l, -5
Let r = -13 + 12.5. Put 1, 1/3, r, -0.2 in descending order.
1, 1/3, -0.2, r
Let l = 9 - 7. Suppose -5*p - 22 = -o, 0 = -2*p + p - l*o - 11. Let u be ((-4)/10)/(5/25). Sort p, u, -4 in descending order.
u, -4, p
Let s be (2 + -1)/(-1 + 2). Let b be (-1)/(1/6) + 0. Let u = b - -10. Sort -1, s, u.
-1, s, u
Let k = 1 + -2. Let q be 20/8*(2 - 4). Put q, k, 1 in decreasing order.
1, k, q
Suppose -6*x + 2*x - 6 = -2*p, -5*p - 37 = 3*x. Put x, -3, -2 in ascending order.
x, -3, -2
Let i = -0.48 + 0.5. Let t = -0.98 - i. Let n be 0 - (12/7 - 2). Sort n, t, -0.5 in decreasing order.
n, -0.5, t
Let k = 0.2 - 2.2. Let v = -1.8 + 2. Sort v, -1/2, k in descending order.
v, -1/2, k
Let q be 2/70 - 39/91. Let r = -13 + 17. Sort q, -0.5, r in descending order.
r, q, -0.5
Let s(w) = 2*w**2 + 2*w - 2. Let z be s(-2). Suppose z*v = 4*v. Put -3, -2, v in decreasing order.
v, -2, -3
Suppose -21 = 3*r - 6. Put 0, 2, r in increasing order.
r, 0, 2
Let f(b) = b + 1. Let u be f(-1). Let y(j) = j**2 + 5*j + 2. Let t be y(-3). Sort 4, t, u.
t, u, 4
Let t(i) = 3*i - 38. Let v be t(13). Sort v, 2, -5, -11.
-11, -5, v, 2
Let i = -64 - -446/7. Suppose 0 = 5*n - 2*z + 375, -2*z - 2*z = -3*n - 211. Let k be n/28 - (-6)/8. Sort k, 0, i.
k, i, 0
Let z be 4*-1*1/(-2). Let p be (-11)/4 + z/(-8). Put -2, 4, p in descending order.
4, -2, p
Let f = -25 - -24.9. Sort f, -1/3, -5 in decreasing order.
f, -1/3, -5
Suppose 2*d - 5 = -19. Let f = 11 + d. Let b be 42/(-144) + 2/12. Sort 1/4, b, f in ascending order.
b, 1/4, f
Let k = -17 - -27. Suppose 3*l + k = h, 2*h + h = -6. Sort -1, 0, l in descending order.
0, -1, l
Let v = -21 - -17. Put 1/8, 1, v in ascending order.
v, 1/8, 1
Let s be (-2)/8*4 + -3*1. Put -2, -1, s in ascending order.
s, -2, -1
Let p = 24.378 + -0.478. Let x = p - 23. Let m = x + -0.4. Put 0, m, -4 in decreasing order.
m, 0, -4
Suppose 5*w = 2 + 3. Let o be -1 + (4 - 6)/w. Put -4, o, 5 in decreasing order.
5, o, -4
Let w(a) = -a**3 - 2*a**2 + 2*a - 1. Let j be w(-3). Suppose 5*u + j = 4*v, 2*v + 4*u - 20 = -2*v. Sort v, -4, 4 in ascending order.
-4, v, 4
Suppose -m - 3 - 4 = 3*i, -4*m + 8 = 0. Let j(f) = -f**3 + f - 1. Let a(z) = -6*z**3 - 4*z**2 + 3*z - 3. Let d(x) = a(x) - 5*j(x). Let u be d(-2). Sort u, i, 2.
i, u, 2
Suppose 0 + 3 = 3*g. Let s = g + 2. Suppose -s*l = -0*l - 9. Sort -5, l, -3 in descending order.
l, -3, -5
Let g = -28.1 + 28. Let r = -7 + 6.2. Let v = 0.2 - r. Sort v, g, 2.
g, v, 2
Let v = -5.2 - -6. Let w = v + -1.7. Let c = w - -3.9. Sort c, 2, 1 in decreasing order.
c, 2, 1
Let f = 106 + -113. Put -4, 0, f in decreasing order.
0, -4, f
Let h = 125 + -127. Suppose 0*u = 5*u + 15. Sort u, 15, h in increasing order.
u, h, 15
Let c = -96 - -94.94. Let a = c - -0.06. Sort a, 1, 4 in decreasing order.
4, 1, a
Let y = 10 - 7. Suppose -o - 4*d = -4*o + 7, -o + d + 3 = 0. Let t be (-30)/(-72)*2/o. Sort y, -5, t.
-5, t, y
Let f = -78 - -74. Sort f, -2, 1 in decreasing order.
1, -2, f
Let i = 0 + 0. Suppose -3*q = -i*q - 3. Put -2, -4, q in decreasing order.
q, -2, -4
Let l = -2.8 - 15.2. Sort 0.3, l, 1/8 in ascending order.
l, 1/8, 0.3
Let d be 0/((-1)/(-1) + 0). Suppose -4*m - y - 24 = -9, 3*y - 20 = m. Put m, d, 3 in descending order.
3, d, m
Suppose -k + 4 = 10. Put k, -3, -2 in descending order.
-2, -3, k
Let h(f) = -f**3 - 6*f**2 + 8*f + 5. Let n be h(-7). Let x be (44/(-77))/(4/(-2)). Put 0, x, n in increasing order.
n, 0, x
Suppose 5*n = -z + 3 - 8, 1 = -n - 2*z. Let y = -3 + 2. Let q = 1 + y. Sort n, q, 5.
n, q, 5
Let o = -56.2 + 56. Put 0, 1, -3, o in increasing order.
-3, o, 0, 1
Suppose 5*p + 2*x - 6 = 0, 0 = 4*p + 2*x - 3*x - 10. Suppose 0 = 2*i + 6. Suppose -4*q = -5*l - 0*q + 19, 2*q = -2. Sort p, i, l in descending order.
l, p, i
Let w = 1.5 - 2. Let q = 1.44 + -1.49. Let g be (-1*3)/((-1)/(-1)). Put g, w, q in ascending order.
g, w, q
Let f = 120 + -116. Put f, 1, -2, -4 in decreasing order.
f, 1, -2, -4
Let s = -552 - -555.01. Let z = -0.01 + s. Let o = -0.4 + 0.2. Put o, -4, z in decreasing order.
z, o, -4
Let v be ((-3)/6)/((-2)/(-28)). Let x = -20 - v. Let j be x/5 + 6/(-15). Put j, 2/11, 0 in descending order.
2/11, 0, j
Let x(k) = -k**3 - 15*k**2 - k - 20. Let c be x(-15). Sort c, 4, -1.
c, -1, 4
Let a = 6 - 4. Let t = -0.21 + 0.11. Let y be (-6)/8*4*1. Put y, t, a in increasing order.
y, t, a
Let r = 0 + -4. Let n be (-5 - -4)/(1/7). Let l be (n/28)/((-1)/(-4)). Sort r, l, -3 in increasing order.
r, -3, l
Let a = -0.1 - 0.1. Put a, 0.4, 0.3 in ascending order.
a, 0.3, 0.4
Let q = -2.98 + 3. Let f = 0.02 - q. Sort 2, f, 0.4 in descending order.
2, 0.4, f
Let s = -6 + 5. Put 1, -6, s in descending order.
1, s, -6
Suppose -15*x = -10*x - 20. Sort -0.2, 1/4, -1, x in decreasing order.
x, 1/4, -0.2, -1
Suppose s - 16 = -5*a, 5*s + 33 = -a - 7. Let k be 1 + (-2 - s/3). Let v = -7 - -12. Put 3, v, k in decreasing order.
v, 3, k
Let d = -58 - -284/5. Sort d, 4/3, -3, 3.
-3, d, 4/3, 3
Let d be ((-3)/(-2))/((-11)/(-66)). Sort 2, -4, d, 1 in decreasing order.
d, 2, 1, -4
Let q = 11 - 8. Let c = 5 - 7. Put 4, c, q in ascending order.
c, q, 4
Let h(i) = -i**2 + 10*i + 1. Let b be h(10). Sort b, 2, 3.
b, 2, 3
Let p be 6/(-4)*(-2 + 4). Let i(r) = -r**3 + 3*r**2 + 2*r + 3. Let n be i(4). Sort n, p, 1 in increasing order.
n, p, 1
Let x = 10 - 13. Let d = 1.5 - -1.3. Let o = 3 - d. Sort -3/2, o, x in increasing order.
x, -3/2, o
Let b = 1.9 - 1.2. Let d = b + -0.3. Sort 0.1, -2, d in decreasing order.
d, 0.1, -2
Suppose -2*c - 4*w = 10, 2*c = -3*w + 6*w + 25. Let p(x) = x**3 - 5*x**2 - 2. Let b be p(c). Put b, -5, 3 in descending order.
3, b, -5
Suppose -3*a + 3*u + 12 = 0, u + 8 = 2*a + 2*u. Put -4, a, 0 in decreasing order.
a, 0, -4
Suppose 0*q + 16 = 2*q. Let o be (8/(-5))/((-10)/25). Let f = o - q. Put -5, f, -1 in ascending order.
-5, f, -1
Let x = -1.5 + -1.5. Let q(l) = -3*l - 1. Let w be q(1). Sort 0.4, x, w in descending order.
0.4, x, w
Let m be (-6)/4 + (-2)/4. Let q be (6/(-18))/((5/9)/(-5)). Suppose 9 = 5*r - 1. Sort m, q, r in ascending order.
m, r, q
Let l(b) = b**2 + 6*b + 4. Suppose g + 5*s = -11, -6*s = -g - 9*s - 9. Let u be l(g). Let r = u - 3.
|
{
"pile_set_name": "DM Mathematics"
}
|
o - 10. Which is the nearest to k? (a) -1/4 (b) -2/3 (c) -1
a
Let q(m) = -6*m**3 - m**2 - 2. Let j be q(-2). Suppose 2527*d = 2501*d + 52. Let g be -2 + 10/d + j/(-10). What is the nearest to g in 3, 5, -0.4?
-0.4
Let q = 12811 + -12811. Which is the nearest to 0? (a) q (b) -9 (c) 0.6
a
Let i = -5642/5 - -1129. Which is the nearest to i? (a) 2/3 (b) -0.4 (c) -1.7 (d) 2
a
Let m = -93 + 647. Let k = m - 554. Let x = -78/11 - -568/77. What is the nearest to k in -1, -12, x?
x
Let i = -43 - -299/7. Let q = 1.28 - 0.08. Let u = -0.2 + q. What is the closest to i in -8, 2/7, u?
2/7
Let c(w) = -w**3 + 6*w**2 - w + 3. Let j be c(6). Let v be j/12 - (4/48 - 0). Let k = 235/72 + -26/9. What is the closest to -1/3 in k, v, 0.3?
v
Let i be 2/(-3) + 13/(-3). Let o = -14.1 + 54.1. Let y = -40 + o. What is the closest to y in 1/3, i, 0.1?
0.1
Let d = 128.5 + -129. Let p(n) = 3*n - 38. Let f be p(11). Let h = 0.1 + -1.1. Which is the nearest to h? (a) f (b) d (c) 7
b
Let b = -20524/5 + 4104. What is the closest to 4 in -5, 5, -2, b?
5
Let s = -0.1239 + 0.1239. Which is the nearest to 4/13? (a) -3 (b) s (c) 5 (d) 4
b
Let n = 59 - 44.6. Let g = n + -18.4. Which is the nearest to 2? (a) g (b) -0.3 (c) -2/5
b
Suppose -29 + 79 - 39 = -11*w. Which is the closest to 0? (a) 7 (b) -5 (c) w (d) 136
c
Let y be (-5 + -1)/((-3)/(-2)). Suppose 0 = 65*d - 66*d + 21. Let u be -18 + d + -3*1. Which is the closest to u? (a) -8 (b) y (c) 0.5
c
Let f = 6682 + -6681.6. Which is the closest to -14? (a) 0.03 (b) 3 (c) -2 (d) f
c
Let g = 5 - 4.5. Let y = 1.1 - 1.223. Let w = -0.223 - y. What is the nearest to w in 0.3, 3/5, g?
0.3
Suppose 7*i + 31*i + 37*i = -750. Which is the nearest to 2? (a) -4 (b) i (c) -1/8 (d) -1
c
Let l be (-6)/4*-199 + 60/120. Suppose -16*j + 789 + l = 0. Let t = 273/4 - j. Which is the closest to 0.2? (a) 0.4 (b) t (c) 0.3
b
Let c be (-5)/25 - (-63)/165. Let u = 3182 + -3177. Let y be (-14)/(-12) + 2/(-4). What is the nearest to y in c, -0.03, u?
c
Let j = 2 - -2. Suppose -2*f = i + 1, 0 = -j*f + i - 3 + 4. Suppose 4*k = 6*k. Which is the nearest to k? (a) -2/9 (b) -5 (c) f
c
Let h = -12 + 28. Suppose 15*f - h*f = 2. Let p be (-10)/4*f + -10. Which is the nearest to 0.1? (a) -0.5 (b) p (c) -2/3
a
Let r = -0.16899 - -3.16899. Which is the nearest to 1/8? (a) r (b) 3/4 (c) 0.057
c
Let y = 1.377 - 0.377. Suppose -3*i - 2*q + 3 = 0, -q + 4 = 2*i + 1. Which is the closest to -1? (a) i (b) -11 (c) y
c
Let q be -18*((-110)/33)/(-5). Let s = 0.037 + -5.037. What is the closest to q in s, 4, 0.1?
s
Suppose 4*z = -200 + 220. Let q = -86/3 + 29. Let f = 18 + -18.5. Which is the closest to -3/2? (a) q (b) f (c) z
b
Let m be 1*4/(-80)*-4. Let x = -46 + 52. Suppose 2*v - x*v + 17 = k, 2*k = 5*v - 18. Which is the closest to 0? (a) v (b) 5 (c) m
c
Let l = 413473 - 5382903/13. Let h = l - -596. Let m = 0.0527 - -0.3473. Which is the closest to h? (a) m (b) -0.3 (c) 1/6
b
Let c be 249/(-332) - 1/(-4). Let l = 20 - 35. Let w be (3/9)/(-1)*l. What is the closest to c in -2, -0.4, w?
-0.4
Suppose -9 = -2*p + 3*k + 173, -k = 2. Let r be (-11)/(p/32) + (-30)/(-8). Let d = -1 + 4. What is the closest to -0.07 in 2, r, d?
r
Let j = -1271/7 + 181. Let p = -13/14 + j. Let l = 30.9 - 30.5. Which is the closest to -3/5? (a) p (b) l (c) -2/17
c
Let h = 76.2 + -127. Let q = -51 - h. What is the nearest to 1 in q, 0.2, 0.16?
0.2
Let s be (-32)/(-24)*(-77)/16. Let u = s + 27/4. Let r = -2173 - -2177. What is the nearest to 1 in -1/5, u, r?
u
Let d(w) = -50*w + 449. Let o be d(9). Let p be -17*4/18 + 65 + -61. What is the nearest to o in 5/6, 0, p?
0
Let x = -67.19 + -0.81. Let p = x - -67. Let y = 71 - 499/7. What is the closest to y in p, -0.3, 2/7?
-0.3
Suppose 41*h = 40*h + 2. Let k = -68 + 104. Let s = k + -36. Which is the nearest to s? (a) 0.07 (b) 4 (c) h
a
Suppose 2*h + 3*k = 20, 0 = 55*h - 59*h - 4*k + 32. Let v be (-3)/18*-3*(-16)/12. Which is the nearest to v? (a) 5/4 (b) 1/4 (c) -0.06 (d) h
c
Let s = -2229 + 430. What is the nearest to 2/9 in 3, -0.1, s?
-0.1
Let r = 0.02747 - -4.97253. Which is the closest to 0? (a) r (b) 3 (c) 4/5 (d) -168
c
Let y = 1656/7 - 236. Let j = -0.04714 - 9.95286. What is the nearest to -1 in -4/9, y, j?
-4/9
Let k = 22.6 + -22.4. What is the closest to -2 in 1/3, -10.6, k, 2/5?
k
Let f = 8127 + -16253/2. Let z = -0.6 + 0.1. What is the closest to -1 in 1/4, z, 0.3, f?
z
Suppose 97*k - 275 = -193*k + 15. What is the nearest to 58 in -0.09, 1/2, k?
k
Let m = -163.03 - -157.03. Which is the nearest to 2/3? (a) -1/4 (b) m (c) -3/4 (d) -1
a
Let k = 1484 + -1483. What is the closest to k in -5, 0.3, 3, 2?
0.3
Let t = -6.97 + 7. Let m = -5.03 + t. Let d = 300/59 + -777/118. What is the closest to 0.1 in d, m, 0.2?
0.2
Let k = -0.3 - -0.1. Let p(a) = a**2 - 5*a - 8. Let l be p(6). Let s be (48/15 + l)/((-3)/20). What is the closest to -0.1 in k, s, 2?
k
Let a be 35/75 + ((-36)/(-15))/(-4). Let s = 13 - -23. Let h = -33 + s. What is the nearest to h in a, 0.5, 0.1?
0.5
Let p = 14.7 + 18. Let n = -33 + p. Let t = -340 - -1361/4. Which is the closest to t? (a) n (b) -0.09 (c) -1
b
Suppose 3*s - 8*j - 247 = -9*j, -2*j - 94 = -s. Let l = -167/2 + s. Which is the closest to 0.4? (a) l (b) 2/7 (c) 4/5
a
Let d(p) = -p + 17. Let o be d(21). Let u(y) = -13 + 2 - 2 - 3*y. Let f be u(o). What is the nearest to 0 in 4, f, -5?
f
Let l be (190/1710)/((-2)/18). Suppose 1 + 3 = -4*i. What is the nearest to i in -0.06, l, -0.3, 1/2?
l
Let o = -6 + 8. Suppose 12*g = 15*g - 9. Let r = 0.62 + 4.38. What is the closest to o in r, -1/2, g?
g
Suppose -3*r + r + 14 = 5*q, 3 = -3*q - 5*r. Let j be (-147)/210 - 4/(-20). What is the nearest to 3 in q, 1, j?
q
Suppose 0 = -m + 4*g + 22 + 2, 0 = 2*g + 14. What is the nearest to -1/4 in m, -79, -0.4?
-0.4
Let o be 4 - (186/3)/(240/(-33)). Let l = o + -105/8. Which is the closest to l? (a) -3 (b) -1 (c) 2/3
b
Let u = 44807 - 134419/3. Which is the nearest to 2/3? (a) 1541 (b) u (c) -2/9
b
Let i = 15 - 27. Let s = -16121 - -16106. Let l = i - s. Which is the closest to 0.4? (a) -6/7 (b) l (c) -4
a
Let z = 645 + -642. Let y = 230/1463 + -4/77. Which is the nearest to y? (a) -2/11 (b) -0.2 (c) -2/5 (d) z
a
Let j = 507.33 + -507. Let k = -422.67 - -425. Let t = j - k. Which is the nearest to 0? (a) -3 (b) -2/15 (c) t
b
Let b = -4.95 - -5. Let h = b - 4.05. Let a = 19/14 + -181/154. What is the closest to a in 5, 2/11, h?
2/11
Let q = -2 + 4. Let i be (1 - -1)*1 - (1363/987 - (-40)/140). What is the closest to -1/4 in 2/7, i, -1/4, q?
-1/4
Let x = 4.04043 + -0.04043. Which is the closest to -0.3? (a) x (b) 0.3 (c) 0.5 (d) 1
b
Let l = -2577.5 + 2578. Which is the nearest to -2/87? (a) -1/8 (b) 0 (c) -0.4 (d) l
b
Suppose 5*i + 40 - 200 = 5*u, -31 = -i + 2*u. Suppose -37*d + 26*d - i = 0. Which is the closest to -6? (a) 0.3 (b) -1 (c) d
c
Let y = -135 - -134. What is the nearest to 16 in 30, 0.4, -5, y?
30
Suppose 0 = 5*d - 5 - 20. Let h = 0 - -0.1. Let u = 0.056647 + -1.056647. Which is the closest to u? (a) 4 (b) h (c) d
b
Let w be 8 + 0 + 12/(-4). Suppose 4*v - 1 = w*v. Let h = 189 - 187. What is the closest to v in -1/3, 1, h?
-1/3
Let n be 16*21/(-420)*(-55)/(-2). Which is the nearest to -1/2? (a) n (b) 3 (c) 1.7
c
Let k = 241 - 136. Let r = k + -100. What is the nearest to 2/3 in -2/53, -0.3, r?
-2/53
Let s = -2299.3 - -2404. Let i = s + -105. Let g = 0.39 + 0.01. Which is the nearest to -0.03? (a) i (b) g (c) -1
a
Suppose -113*s = 32*s + 1015. Which is the closest to -0.1? (a) -8 (b) s (c) -2.9
c
Let z = 29 + -29.5. Let m = -11.7 - -12. Let l = -1.7 - m. Which is the closest to 0.2? (a) 2/5 (b) l (c) z
a
Let f(i) = -2*i + 6. Let g be f(5). Suppose 557*s + 4*x + 66 = 555*s, 13 = 3*s - 2*x. Which is the closest to g? (a) 1 (b) 3/7 (c) -0.1 (d) s
d
Suppose -3 = 14*k + 81. Let w be (-34)/(-8) - k/24*3. Suppose -5*y - 1 = -f + w, -5 = -4*f + y. Which is the nearest to 1? (a) f (b) 0.2 (c) 5
a
Let f = 1084.93 + -1085. Let r = -0.01 + 0.21. What is the closest to f in -0.1, 2, r?
-0.1
Let w be (1/45)/((-455)/(-45) + -10). What is the closest to 2/3 in w, 2, 1/4, 11?
1/4
Suppose 21 - 161 = 7*y. Let f be y/20*(1
|
{
"pile_set_name": "DM Mathematics"
}
|
d**2 + 712*d + 32 = 0.
-2, -1, -2/41, 4
Factor 2*n**2/21 - 2*n/3 - 96/7.
2*(n - 16)*(n + 9)/21
Suppose -4*m**4 - 124*m**3 - 1092*m**2 - 3620*m - 3800 = 0. What is m?
-19, -5, -2
Determine r so that 4*r**4/7 + 40*r**3/7 - 100*r**2/7 - 40*r/7 + 96/7 = 0.
-12, -1, 1, 2
Suppose 3*p**4/8 - 21*p**3/4 + 195*p**2/8 - 93*p/2 + 63/2 = 0. Calculate p.
2, 3, 7
Determine j so that -14*j**4/9 + 178*j**3/9 - 368*j**2/9 - 40*j/3 = 0.
-2/7, 0, 3, 10
Factor -j**4 + 33*j**3 - 242*j**2.
-j**2*(j - 22)*(j - 11)
Determine b, given that -18*b**3/17 - 14*b**2/17 + 40*b/17 - 8/17 = 0.
-2, 2/9, 1
Solve 42*r**5/17 + 1090*r**4/17 + 3780*r**3/17 + 2840*r**2/17 + 528*r/17 = 0.
-22, -3, -2/3, -2/7, 0
Let -4*c**5/3 + 8*c**4/3 + 64*c**3/3 - 8*c**2/3 - 20*c = 0. What is c?
-3, -1, 0, 1, 5
Solve 2*k**2/11 + 12*k/11 - 10 = 0.
-11, 5
Factor 2*k**3/7 - 2*k**2/7.
2*k**2*(k - 1)/7
Factor 2*c**4 - 42*c**3 + 250*c**2 - 582*c + 468.
2*(c - 13)*(c - 3)**2*(c - 2)
Find v such that v**2/7 + 15*v/7 + 36/7 = 0.
-12, -3
Let -2*d**3 - 58*d**2 - 110*d - 54 = 0. What is d?
-27, -1
Factor -i**3 + 37*i**2 - 239*i + 203.
-(i - 29)*(i - 7)*(i - 1)
Solve 2*m**3/3 + 86*m**2/3 - 178*m/3 + 30 = 0.
-45, 1
Factor 3*d**3/5 + 66*d**2/5.
3*d**2*(d + 22)/5
Factor d**2/3 + 145*d + 866/3.
(d + 2)*(d + 433)/3
Factor 2*j**2/21 - 22*j/21.
2*j*(j - 11)/21
Factor 7*w**3/3 + 16*w**2/3 + 11*w/3 + 2/3.
(w + 1)**2*(7*w + 2)/3
Factor -4*z**3/7 - 652*z**2/7 + 4*z/7 + 652/7.
-4*(z - 1)*(z + 1)*(z + 163)/7
Solve 3*m**5 + 54*m**4 - 195*m**3 - 90*m**2 + 732*m - 504 = 0 for m.
-21, -2, 1, 2
Let -2*k**2/19 + 556*k/19 - 38642/19 = 0. What is k?
139
Factor z**3/3 + 29*z**2/3 + 104*z/3 + 100/3.
(z + 2)**2*(z + 25)/3
What is r in r**3 + 2*r**2 - 11*r - 12 = 0?
-4, -1, 3
Factor -3*a**4 + 3*a**3 + 21*a**2 - 39*a + 18.
-3*(a - 2)*(a - 1)**2*(a + 3)
Factor 189*q**2 - 2274*q + 72.
3*(q - 12)*(63*q - 2)
Suppose 3*s**2 - 627*s + 624 = 0. What is s?
1, 208
Factor d**4/2 - 37*d**3 + 2029*d**2/2 - 12210*d + 54450.
(d - 22)**2*(d - 15)**2/2
Factor 40*l**4 - 175*l**3 + 180*l**2 - 45*l.
5*l*(l - 3)*(l - 1)*(8*l - 3)
Factor -4*t**4 + 88*t**3 - 272*t**2 - 2392*t - 2028.
-4*(t - 13)**2*(t + 1)*(t + 3)
Factor -8*o**5 + 50*o**4 - 84*o**3 + 18*o**2.
-2*o**2*(o - 3)**2*(4*o - 1)
Determine v so that -2*v**5/5 + 48*v**4/5 - 82*v**3 + 1428*v**2/5 - 1568*v/5 = 0.
0, 2, 7, 8
Determine q so that 2*q**4 + 8*q**3 - 10*q**2 = 0.
-5, 0, 1
Factor 45*z**5 - 140*z**4 + 150*z**3 - 60*z**2 + 5*z.
5*z*(z - 1)**3*(9*z - 1)
Factor -r**5 + 111*r**4 + 808*r**3 + 2104*r**2 + 2352*r + 944.
-(r - 118)*(r + 1)*(r + 2)**3
Factor 2*v**2/3 + 6064*v/3 + 4596512/3.
2*(v + 1516)**2/3
Factor 3*w**3 + 291*w**2 + 9288*w + 97200.
3*(w + 25)*(w + 36)**2
Solve -3*b**4/4 - 261*b**3/2 + 1587*b**2/4 - 531*b/2 = 0.
-177, 0, 1, 2
Factor -2*m**2/5 - 424*m/5 - 168.
-2*(m + 2)*(m + 210)/5
Solve 4*f**4/5 + 732*f**3/5 + 144*f**2 - 1456*f/5 = 0.
-182, -2, 0, 1
Factor -p**3/3 - 106*p**2/3 - 703*p/3 - 330.
-(p + 2)*(p + 5)*(p + 99)/3
Factor -2*h**2/3 + 1030*h/3 + 1036.
-2*(h - 518)*(h + 3)/3
Factor 9*w**3 + 492*w**2 - 171*w - 330.
3*(w - 1)*(w + 55)*(3*w + 2)
Factor -2*m**3/3 - 8*m**2/3 - 8*m/3.
-2*m*(m + 2)**2/3
Solve j**3/4 + 189*j**2/4 + 93*j/2 - 94 = 0.
-188, -2, 1
Solve 5*w**3 + 190*w**2 + 825*w = 0.
-33, -5, 0
Factor 4*f**2 + 616*f - 5184.
4*(f - 8)*(f + 162)
Factor 15*k**3/2 - 642*k**2 + 27219*k/2 + 5547.
3*(k - 43)**2*(5*k + 2)/2
Suppose 3*f**5/2 + 57*f**4 + 111*f**3/2 = 0. Calculate f.
-37, -1, 0
Let 4*w**2 + 12*w + 5 = 0. What is w?
-5/2, -1/2
Factor a**2 + 17*a - 60.
(a - 3)*(a + 20)
What is n in -n**5 + 7*n**4 - 10*n**3 - 2*n**2 + 11*n - 5 = 0?
-1, 1, 5
Find n, given that 2*n**5/5 + 616*n**4/5 - 498*n**3 + 376*n**2 + 2488*n/5 - 2496/5 = 0.
-312, -1, 1, 2
Factor -b**3/2 - 9*b**2 - 54*b - 108.
-(b + 6)**3/2
Factor z**4/4 - z**3/4 - z**2/4 + z/4.
z*(z - 1)**2*(z + 1)/4
Determine j, given that 3*j**3/5 - 18*j**2/5 = 0.
0, 6
Factor c**2 + 822*c + 1640.
(c + 2)*(c + 820)
Let 5*y**3 - 15*y**2 - 80*y - 60 = 0. Calculate y.
-2, -1, 6
Factor -y**5 - 4*y**4 - 3*y**3 + 4*y**2 + 4*y.
-y*(y - 1)*(y + 1)*(y + 2)**2
Find z such that -4*z**2 - 7584*z - 3594816 = 0.
-948
Suppose 2*o**5 - 72*o**4 + 698*o**3 - 1188*o**2 + 560*o = 0. Calculate o.
0, 1, 14, 20
Factor 3*l**4 + 984*l**3 - 11115*l**2 + 24516*l + 36612.
3*(l - 6)**2*(l + 1)*(l + 339)
Determine j, given that -2*j**4/3 + 6*j**3 - 4*j**2/3 - 32*j = 0.
-2, 0, 3, 8
Solve 2*k**2/13 + 1088*k/13 - 168 = 0.
-546, 2
Factor 40*d**3 + 65*d**2 + 25*d.
5*d*(d + 1)*(8*d + 5)
Factor 4*l**3 + 1296*l**2 + 5136*l + 5120.
4*(l + 2)**2*(l + 320)
Factor 3*o**4 - 27*o**3 + 45*o**2 - 21*o.
3*o*(o - 7)*(o - 1)**2
Suppose -2*x**2/9 - 4*x/3 + 14/9 = 0. Calculate x.
-7, 1
Determine i, given that -2*i**4 - i**3 + 2*i**2 + i = 0.
-1, -1/2, 0, 1
Solve 100*d**4 - 7080*d**3 + 128116*d**2 - 99120*d + 19600 = 0.
2/5, 35
Find r, given that -105*r**5 + 65*r**4 + 95*r**3 - 65*r**2 + 10*r = 0.
-1, 0, 2/7, 1/3, 1
Find d, given that -16*d**3/11 + 232*d**2/11 - 113*d/11 + 14/11 = 0.
1/4, 14
Let 4*n**2/3 + 688*n/3 + 896 = 0. Calculate n.
-168, -4
Let 22*k**4/19 + 1118*k**3/19 + 15636*k**2/19 + 35136*k/19 - 6912/19 = 0. What is k?
-24, -3, 2/11
Factor -2*p**2 - 9276*p - 10755522.
-2*(p + 2319)**2
Factor 5*h**5/3 - 95*h**4/3 + 710*h**3/3 - 870*h**2 + 1575*h - 1125.
5*(h - 5)**2*(h - 3)**3/3
Factor -9*x**3 - 78*x**2 - 111*x - 42.
-3*(x + 1)*(x + 7)*(3*x + 2)
Suppose -3*c**2/4 + 1725*c/4 - 861/2 = 0. Calculate c.
1, 574
Factor -3*d**5 + 42*d**4 - 216*d**3 + 480*d**2 - 384*d.
-3*d*(d - 4)**3*(d - 2)
Factor 1225*z**2 - 35*z + 1/4.
(70*z - 1)**2/4
Solve -4*c**3/5 - 4*c**2/5 + 48*c/5 = 0.
-4, 0, 3
Factor -2*b**3 + 20*b**2 + 46*b + 24.
-2*(b - 12)*(b + 1)**2
Factor 2*p**5/9 + 56*p**4/9 + 194*p**3/9 - 2668*p**2/9 + 6392*p/9 - 4624/9.
2*(p - 2)**3*(p + 17)**2/9
Determine q, given that -2*q**4 - 24*q**3 - 20*q**2 + 24*q + 22 = 0.
-11, -1, 1
What is p in -2*p**2 + 2004*p - 2002 = 0?
1, 1001
Suppose 2*z**2/3 + 48*z + 864 = 0. What is z?
-36
Factor -n**2/3 + 11*n/3 + 14.
-(n - 14)*(n + 3)/3
Factor t**2/8 + 41*t/8 - 33/2.
(t - 3)*(t + 44)/8
Factor i**4/5 - 2*i**3/5 - 27*i**2/5 - 52*i/5 - 28/5.
(i - 7)*(i + 1)*(i + 2)**2/5
Factor p**3/2 - 11*p**2 - 233*p/2 - 105.
(p - 30)*(p + 1)*(p + 7)/2
Factor 5*l**2 - 30*l - 80.
5*(l - 8)*(l + 2)
Let -9*a**3 + 1419*a**2 - 943*a + 157 = 0. Calculate a.
1/3, 157
Factor -231*u**2 + 6*u.
-3*u*(77*u - 2)
Suppose 3*x**3/2 - 75*x**2/2 + 141*x/2 - 69/2 = 0. Calculate x.
1, 23
Determine m, given that -6*m**5/5 + 56*m**4/5 + 112*m**3/5 - 1548*m**2/5 + 406*m/5 + 196 = 0.
-5, -2/3, 1, 7
Let -3*o**4/7 - 2*o**3/7 = 0. What is o?
-2/3, 0
Solve 5*s**3 + 110*s**2 - 795*s + 1260 = 0.
-28, 3
Determine j so that -2*j**4 - 8*j**3 - 12*j**2 - 8*j - 2 = 0.
-1
Factor -g**4 - 30*g**3 + 204*g**2 + 13294*g + 103173.
-(g - 21)*(g + 17)**3
Factor 5*q**3 - 585*q**2.
5*q**2*(q - 117)
Solve -5*c**3 - 75*c**2 - 180*c = 0 for c.
-12, -3, 0
Let 242*x**5/7 - 54120*x**4/7 + 3069426*x**3/7 - 4841836*x**2/7 - 2066376*x/7 - 197136/7 = 0. What is x?
-2/11, 2, 111
Factor -22*t**2 + 6032*t - 1096.
-2*(t - 274)*(11*t - 2)
Suppose 2*g**2/9 + 10*g/9 - 56/3 = 0. What is g?
-12, 7
Let 5*w**5/3 - 32*w**4/3 + 37*w**3/3 - 10*w**2/3 = 0. What is w?
0, 2/5, 1, 5
Let z**4 + 6*z**3 - z**2 - 30*z = 0. Calculate z.
-5, -3, 0, 2
Suppose 5*w**3 + 380*w**2 - 395*w - 770 = 0. Calculate w.
-77, -1, 2
Factor -5*h**3 - 80*h**2 - 315*h.
-5*h*(h + 7)*(h + 9)
Factor -3*w**4 - 15*w**3 + 39*w**2 - 21*w.
-3*w*(w - 1)**2*(w + 7)
Solve -45*u**4 - 84*u**3 + 690*u**2 - 84*u - 45 = 0.
-5, -1/5, 1/3, 3
Factor -28*h**2 - 16080*h - 4592.
-4*(h + 574)*(7*h + 2)
Factor -4*u**2 - 884*u - 5992.
-4*(u + 7)*(u + 214)
Determine k, given that -14*k**2 - 204*k - 112 = 0.
-14, -4/7
Determine t, given that t**5 - 5*t**4 - 174*t**3 - 968*t**2 - 1952*t - 1152 = 0.
-4, -1, 18
Find n such that 5*n**4 + 1075*n**3 - 15*n**2 - 3215*n + 2150 = 0.
-215, -2, 1
Solve -2*w**5/5 - 6*w**4/5 + 12*w**3/5 + 16*w**2/5 = 0.
-4, -1, 0, 2
Factor 3*y**4/2 - 423*y**3/2 - 429*y**2.
3*y**2*(y - 143)*(y + 2)/2
What is j in -2*j**4 - 188*j**3/3 - 838*j**2/3 - 136*j/3 + 520/3 = 0?
-26, -5, -1, 2/3
Determine d, given that 3*d**3 - 30*d**2 + 69*d - 42 = 0.
1, 2, 7
Suppose -5*j**5/4 + 395*j**4/4 - 7595*j**3/4 - 8395*j**2/4 + 1900*j + 2000 = 0. Calculate j.
-1, 1, 40
Solve 5*d**2/
|
{
"pile_set_name": "DM Mathematics"
}
|
divided by c.
1
Suppose 10 = 5*v, -4*k - 5*v + 4*v = -2. Suppose -97 = -3*g - 2*q, g - 4*g + 2*q + 89 = k. What is the remainder when g is divided by 11?
9
Suppose 0 = -2*g - 4*x + 280, -g - x = g - 295. Calculate the remainder when 9 is divided by 2/(-13) + g/(-39) - -9.
4
What is the remainder when 4 - (-28)/(-70)*(0 - 70) is divided by 19?
13
Suppose 0 = 2*w - 0*w + 3*y + 13, 5*y + 21 = -4*w. What is the remainder when 28 is divided by w?
0
Suppose 6*u = u - 40. Let a = u + 11. Suppose 0*w - 8 = -4*l + 2*w, -5*w = -5*l + 5. Calculate the remainder when l is divided by a.
0
Suppose 6 = 8*w - 18. Suppose 2*t = 2*h - 52, 3*t = -w*h + 8*t + 74. Calculate the remainder when h is divided by 10.
8
Let a(s) = s**2 + 6*s + 6. Let b be a(-4). Suppose 4*q - v - 87 = 0, 5*q - 3*v - 124 = -24. What is the remainder when 1393/21 + b/6 is divided by q?
20
Suppose -z + 3*h = -91, 7*z - 309 = 3*z + h. What is the remainder when -7 + 3 + -3 + z is divided by 18?
15
Let f = -68 + 74. What is the remainder when 12 is divided by f?
0
Let o(w) = -8*w - 3. Let n = 59 - 51. Suppose -16 - n = -i. What is the remainder when i is divided by o(-2)?
11
Suppose -5*n - 1165 = -10*n - 2*o, -3*o = -4*n + 955. Calculate the remainder when n is divided by 78.
1
Let o = -243 - -266. What is the remainder when 65 is divided by o?
19
Suppose -20 = 4*j, -16 = w + 4*j - 41. What is the remainder when w is divided by 27?
18
Suppose -g + d = -2, 10 = 2*g - 0*d + d. Suppose 32 = 3*u - g. What is the remainder when 142 is divided by u?
10
Let l = -129 + 221. What is the remainder when l is divided by 19?
16
Let m(c) = 0 + 2*c**2 - 5*c**2 + 0*c**2 + 7*c - 3. Let a be m(5). Let v = a - -84. What is the remainder when v is divided by 11?
8
Let m be 6 - 1 - 3/1. Suppose -3*h - m*g = -100, -2*h - 2*g = -0*h - 64. Calculate the remainder when 69 is divided by h.
33
Let r = -770 - -808. What is the remainder when 74 is divided by r?
36
Let w = 650 + -452. Calculate the remainder when w is divided by 41.
34
Suppose b = 7 + 22. Suppose -5*u = -u - 336. What is the remainder when u is divided by b?
26
Let x be 8/(-14) + 21219/77. Suppose 5*f = 2*p - 93, 0*p - 4*f - x = -5*p. Let a = 37 - 22. Calculate the remainder when p is divided by a.
14
Calculate the remainder when 70 is divided by -1 + (30/6 - -2).
4
Let p(j) = 6*j**3 + 113*j**2 - 21*j + 8. What is the remainder when p(-19) is divided by 8?
6
Let h(r) = 5*r**3 + 21*r**2 - 3*r. What is the remainder when h(4) is divided by 72?
68
Suppose -2*l + g = -7, -4*l + 11 + 2 = -g. Suppose -h + 3*a - l = 0, 2*h - 14 = -a - 3*a. What is the remainder when 21 is divided by h?
0
Calculate the remainder when 970 is divided by -1 - (-28)/16 - 897/(-52).
16
Let t(o) = -o**3 - 9*o**2 - 28*o - 11. Calculate the remainder when 193 is divided by t(-6).
46
Let x(k) = -k**3 - 16*k**2 - 7*k - 6. Suppose -5*y = -10*y + 155. Let s = y + -4. What is the remainder when x(-16) is divided by s?
25
Suppose -2*p - p + 2*a + 34 = 0, -2*a - 2 = p. Let c = -17 + 25. Suppose -4*s = -108 - c. What is the remainder when s is divided by p?
5
Suppose q + 3 = -2. Let t be 6/(-4)*10/(-15). Let u = t - q. Calculate the remainder when 23 is divided by u.
5
Let t(f) = f**3 + 3*f**2 - 3*f + 2. Let a = 92 + -60. Calculate the remainder when a is divided by t(-3).
10
Let q = 6 - 5. Let s be (-6)/(q - (-20)/(-8)). Calculate the remainder when (s + -6)*(-42)/4 is divided by 6.
3
Let p(x) = -x**2 + 13*x + 19. What is the remainder when 2/4 - 34/(-4) is divided by p(14)?
4
Suppose -2*q + 7*q - 345 = 0. Let g = q + -60. Calculate the remainder when 15 is divided by g.
6
Let g(q) = -11*q + 36. Calculate the remainder when 101 is divided by g(0).
29
Let v(x) = -134*x - 1. What is the remainder when v(-1) is divided by 2/((-602)/(-119) + (1 - 6))?
31
Suppose -n = -j - 6*n + 36, 39 = 2*j - n. Calculate the remainder when 40 is divided by j.
19
Let b(v) = v**2 + 4*v. Let u be b(-9). Let l = 30 + u. What is the remainder when l is divided by 26?
23
Suppose 2*m + 4*s = 464, -3*m - 2*m + 5*s + 1160 = 0. What is the remainder when m is divided by 59?
55
Let m(u) = -2*u + 5 - 4 + u**2 + 3*u**3 + 1. What is the remainder when 7 is divided by m(1)?
3
Suppose -8*v - 411 = -3539. Calculate the remainder when v is divided by 28.
27
Suppose -198 = -11*s + 44. Let u = s - -56. Calculate the remainder when u is divided by 20.
18
Suppose -5*z = y - 20, -4*z - z + y = -20. Let m be 2/((-45)/(-12) + -4). What is the remainder when 17 is divided by m/(-1) - (z + -1)?
2
Let c(y) = -y - 5*y + 1 + 3 - y. Calculate the remainder when 35 is divided by c(-2).
17
Suppose 2*t = -3*f + 52, -112 = -3*t - 3*f + 7*f. What is the remainder when 254 is divided by t?
30
Suppose c = -c + 40. Suppose -30*l - 444 + 2754 = 0. Calculate the remainder when l is divided by c.
17
Suppose u - 5*z = -3, -17 = -3*u - 5*z + 34. Suppose 0 = c - 1, -5*f + 24 + 20 = 4*c. What is the remainder when u is divided by f?
4
Suppose -2*k + 9 = -5*k, 0 = -3*z - k + 114. Suppose 14 = 3*j + 4*j. Suppose 9 = -j*p + z. What is the remainder when 57 is divided by p?
12
Let u(z) = z**2 - 13*z - 16. Let l be u(15). Let c = l + 5. Calculate the remainder when c is divided by 7.
5
Let s = -114 - -228. Calculate the remainder when (s/18)/((-2)/(-6)) is divided by 5.
4
Let s = -905 + 918. What is the remainder when 72 is divided by s?
7
Let b = -58 - -58. Suppose 0 = -2*x - 6, x = k - 10 - b. What is the remainder when 47 is divided by k?
5
Suppose 0 = -4*q + 4*p + 176, 2*q + 5*p - 9 = 51. Suppose -25*v + 24*v + 7 = 0. Calculate the remainder when q is divided by v.
5
Let o(q) = q**2 - 8*q + 8. Let m be o(7). Suppose m = -5*h + 31. Let k(z) = 2*z + 13. Calculate the remainder when k(2) is divided by h.
5
Suppose -3*i = 9, 6 = y - i - 3. What is the remainder when 6 is divided by y?
0
Let n(l) = l**2 + 14*l - 213. Calculate the remainder when n(20) is divided by 89.
22
Suppose -p = 4*p + 5*q - 10, -q - 4 = 4*p. Let t = 89 + -48. Calculate the remainder when t is divided by (p/3)/((-10)/165).
8
What is the remainder when 150 is divided by 5/(15/(-4))*(-33)/2?
18
Let s(a) = -7 + 3*a - a**2 + 6 + 0*a**2 + 7*a - 8. Let u = 17 + -10. Calculate the remainder when 58 is divided by s(u).
10
What is the remainder when 102 is divided by ((99/2)/(-11))/(2/(-24))?
48
Suppose 5*m = -5*m + 30. Suppose -5*k = 5*i - 65, -5*k + 72 = m*i + 23. Calculate the remainder when i is divided by 4.
0
Let n(a) = -a**3 + 7*a**2 + 8*a + 11. Let l = 577 + -1597. Calculate the remainder when n(8) is divided by 4/(-14) + l/(-140).
4
Suppose 0 = -29*x + 5*x + 3048. What is the remainder when x is divided by 8?
7
Let z(i) = i**2 + 2*i + 49. What is the remainder when z(-11) is divided by 31?
24
Suppose 2 = -5*p + 3*p. Calculate the remainder when 2 - p - (-57)/2*2 is divided by 16.
12
What is the remainder when 139 is divided by 5*(-18)/30*-13?
22
Let m = 63 + -46. Suppose -m*r = -23*r + 114. Calculate the remainder when 55 is divided by r.
17
Suppose 2*x = 3 - 5. What is the remainder when (2 + x + -2)*-33 is divided by 17?
16
Suppose -4 = -o, -3*i + 5*o = 9*o - 1270. Calculate the remainder when i is divided by 20.
18
Suppose -3*r + 24 = -6. Let k(h) = -h**3 + 6*h**2 + 2*h + 12. Calculate the remainder when k(5) is divided by r.
7
Let d be 10/35 + 523/7. Let h = d - 62. What is the remainder when 35 is divided by h?
9
Suppose -12 + 45 = -3*l. Let f be 82/4 - 9/(-6). Let q = l + f. What is the remainder when 30 is divided by q?
8
Let q(s) = s**2 - 3*s + 5. Let f be q(-8). Suppose 69 = 3*p - f. Suppose 6 = 5*o - p. What is the remainder when o is divided by 5?
2
What is the remainder when 211 is divided by (-3)/2*7172/(-489)?
13
Let m = 459 - 437. Calculate the remainder when 41 is divided by m.
19
Suppose 3*l + j + 207 = 0, 3*l + 5*j - 7*j + 198 = 0. Calculate the remainder when 121 is divided by (l/102)/(2/(-93)).
28
Let r(s) = 9*s - 67. Suppose -38 = -3*q + 4. Calculate the remainder when r(12) is divided by q.
13
Let j = 29 - 14. What is the remainder when 4/(-18) + 16764/594 is divided by j?
13
Suppose -2992 = -38*b - 6*b. What is the remainder when b is divided by 5?
3
What is the remainder when ((-8)/(-4) - -34) + -8 is divided by 12?
4
Suppose 3*v - 3*q - 45 = 0, 3*v - 30 = v - q
|
{
"pile_set_name": "DM Mathematics"
}
|
)/(h/(-184892)) a composite number?
False
Let n(g) be the third derivative of g**6/30 - g**5/5 + 5*g**4/6 + g**3/2 - 2*g**2. Let z = 2629 + -2620. Is n(z) composite?
True
Is (-1 - (-2040732)/8) + (-73)/(-146) composite?
True
Let o = 61 - 64. Let g(y) = 6*y + 16. Let d be g(o). Is 4/d*(-531)/18 composite?
False
Suppose 8*c + c - 68949 = 0. Is c a composite number?
True
Let a(g) = 13*g**3 + 3*g**2 - 3*g + 2. Let f be a(3). Suppose 64 = -w - 0*w. Let y = w + f. Is y composite?
False
Suppose -2 = -83*b + 84*b. Let h(p) be the third derivative of 73*p**5/20 + p**4/12 - p**3/2 - 16*p**2. Is h(b) prime?
False
Suppose -4*v = -3*v + 3*j - 23154, 3*v - 69392 = 5*j. Suppose -7689 = -w - 5*n, -3*w - 28*n + 31*n + v = 0. Is w composite?
True
Let p(v) = 224*v**3 - 6*v**2 + 13*v - 18. Let n be p(3). Suppose 0 = 10*q - 9415 - n. Is q composite?
False
Let j(a) = -18545*a - 6. Let y(f) = -f - 1. Let h(q) = 2*j(q) - 4*y(q). Is h(-1) a composite number?
True
Suppose q - 16*q = 193560. Let y = -8799 - q. Is y a prime number?
False
Let u be (-1582)/56 + (-6)/8 + 1. Let q be (u/(-2))/(-7)*(-2)/(-4). Let c(j) = 793*j**2 + 2*j. Is c(q) prime?
False
Let t be ((-20)/(-6) - 2)/(15/45). Suppose -t*n + 15834 = -3002. Is n prime?
False
Let z = 239 + -235. Suppose -z*x = -4*c - 14444, c = -5*x + 2*c + 18039. Is x prime?
True
Let i(s) = 30*s**2 - 23*s + 90. Let g be i(3). Let y(b) = b**2 + b. Let w be y(-1). Suppose -32*c + 31*c + g = w. Is c a composite number?
True
Let t be ((-5)/1 - -5) + -2. Is (3 - -40251)/2 + (-2 - t) prime?
False
Let f = -39165 + 95558. Is f composite?
False
Suppose 73*b - 69*b = 12, 53843 = 2*f - 5*b. Is f prime?
False
Suppose -2295*b + 7257020 = -2275*b. Is b a prime number?
True
Let y = 67 + -58. Suppose 3*x - 3644 = -i, -10*x = -y*x + i - 1218. Is x prime?
True
Is (-59439360)/(-69) - (1 + -10) composite?
True
Suppose -2*u + 337899 = -5*f, 656606 + 188059 = 5*u + 4*f. Is u prime?
True
Let p be -7*(145/35 + -4). Let v(o) = -2630*o**3 + 3*o**2 + 4*o + 2. Is v(p) a prime number?
False
Suppose 14 = -6*b + 29 + 15. Let o be 554 - (1 - (-2)/(-2)). Suppose o = b*a - 1701. Is a composite?
True
Suppose 55 = 17*h + 4. Is (9/12)/h*1804 composite?
True
Suppose n - 654211 = -g, -3*n - 8*g + 1038015 = -924628. Is n a prime number?
True
Is ((-2)/16)/((-21)/504) - 1012*-100 composite?
False
Suppose 71 = 9*b + 26. Suppose b*g - 9156 - 20029 = 0. Is g a prime number?
False
Let c(z) be the third derivative of z**6/60 - 17*z**5/15 + 7*z**4/24 + 14*z**3/3 + 25*z**2 + 3*z. Is c(37) composite?
False
Is ((-12)/6 - (-296 - -2))*(-320779)/(-388) a prime number?
False
Let d(k) = 209*k**2 - 7*k - 3. Let g(l) = -2*l + 22. Let a(t) = t + 13. Let b be a(-4). Let v be g(b). Is d(v) composite?
False
Let s(g) = -8*g**3 + 4*g**2 - 3*g - 4. Let i(u) = -9*u**3 + 4*u**2 - 4*u - 3. Let c(n) = -5*i(n) + 6*s(n). Let l be c(3). Is (-39088)/l - 4/(-6) composite?
True
Suppose -194*f - 3528 = -202*f. Let o = 3 + -5. Is (f - o) + 6/2 a prime number?
False
Let t(g) = -8*g + 39. Let x be t(4). Let w(v) = -48*v + 17. Let d(o) = o. Let u(a) = 4*d(a) - w(a). Is u(x) a composite number?
False
Let j be 3555/75 - 5 - (-2)/(-5). Suppose -j*r + 23*r + 6251 = 0. Is r composite?
True
Suppose -2*b - 2 = 4*t, -3 = 5*b - 2*b. Suppose s - 4*g - 137 = t, 2*g + 0*g = 2. Suppose s = -y + 548. Is y composite?
True
Suppose 14936 = -10*i + 14*i. Suppose -10*t + 16611 = -3*t. Let d = i - t. Is d composite?
False
Suppose 0*h + 4*h = 4*n - 392428, 5*n = 2*h + 490517. Is n composite?
False
Let j = -511974 + 1296103. Is j a prime number?
True
Suppose -4*h = -5*k + 15420, 0 = -4*k - 4*h + 12619 - 319. Let q = 5199 - k. Is q a composite number?
True
Let v = 88 + -88. Suppose -12*y + 4*y = v. Suppose y = 5*n - 56 - 14. Is n a composite number?
True
Let k = -164 + 181. Suppose k*c = 12*c + 5185. Is c composite?
True
Suppose 5*d = 2*i - 50, -5*d + 178 = 3*i + 53. Let y be 355/2*56/i. Suppose -7*m + y + 38 = 0. Is m prime?
False
Let a = 226 + -208. Is (-55)/66 - (-146643)/a composite?
True
Let o(k) = -k**2 + 68*k + 841. Is o(62) prime?
True
Suppose -m - 650604 = -5*u + 1509973, 4*m = 3*u - 1296353. Is u a composite number?
True
Let q(t) = t**3 - 5*t**2 - 27*t + 29. Let b be q(8). Let u(l) = -l**3 + 6*l**2 + 3. Let y be u(6). Suppose f + 3*f - 5377 = -b*d, -y*f = -9. Is d composite?
True
Let t(q) = -18*q**2 - 2*q - 45. Let j(c) = 19*c**2 + c + 47. Let x(l) = -4*j(l) - 5*t(l). Is x(21) a composite number?
False
Suppose 2*l = -4, 3*k - 8 = -0*l + 4*l. Suppose 14*h - 182610 - 260252 = k. Is h a composite number?
True
Let w = 85 + -165. Let v be 4/(-18) + w/(-36). Is (-2110)/(-15)*(-3)/v*-1 prime?
True
Suppose 0 = -8*y + 16136 + 76272. Is y a prime number?
True
Suppose -4*s + 10 = -2*s, 3*f - 4*s = -5. Suppose -f*m - 67004 = j, -3*m + 0*j + 3*j - 40206 = 0. Is (-1)/(-4 + 0) - m/12 prime?
True
Let z = 192 + -176. Let s(h) = h**3 - 12*h**2 - 25*h + 25. Is s(z) composite?
True
Is (102715830/945)/(((-12)/46)/(-3)) a prime number?
False
Suppose 6496 = 21*d + 7*d. Suppose -d*q + 228*q + 10052 = 0. Is q a prime number?
False
Let d = -103 - -106. Suppose -d*q + 5*h = 290, 202 = -2*q - 0*h - h. Let x = 354 - q. Is x a composite number?
True
Let y be (-296034)/21 + 96/(-84). Let z = -4421 - y. Is z prime?
True
Let p = 27282 - -26663. Is p a prime number?
False
Let o(g) = 8*g**3 + 9*g**2 + 5*g - 37. Is o(5) a composite number?
False
Suppose -a - 321 = -325. Is a*(-3)/24*-1402 composite?
False
Suppose -6 = -2*z - 298. Let o = 161 - z. Is o composite?
False
Let r(b) = -2*b**3 - 125*b**2 + 50*b + 3663. Is r(-92) composite?
False
Let v = 47453 - 27124. Is v prime?
False
Let n(k) = -25*k + 10. Let i be n(-2). Suppose 59*g = i*g - 11281. Is g composite?
True
Let k(d) = 69*d**3 - 41*d**2 - 4*d + 289. Is k(21) a prime number?
True
Let m(t) = -t**2 + 14*t - 37. Let s be m(7). Let j be s/(-102) - (-6)/51. Suppose 5*y - 2750 - 975 = j. Is y a composite number?
True
Let k be (16/(-48))/((-1)/12). Suppose -2*i + k*n + 3398 = 0, -8*i + 5*i - 4*n = -5067. Is i a composite number?
False
Let j(w) = -w**3 + 5*w**2 + 3*w - 3. Let r be j(3). Let v(a) = 2*a**2 - 32*a - 5. Is v(r) a prime number?
True
Let l be 3/3 - 0 - -57. Suppose -6 - 13 = -3*q + 2*j, -2*q + 3*j + 21 = 0. Suppose -q*h + l = -143. Is h prime?
True
Let s(y) = -5*y**3 + 6*y**2 + 15*y - 11. Let b = -13 + 7. Let o(x) = -9*x**3 + 13*x**2 + 30*x - 22. Let d(g) = b*o(g) + 11*s(g). Is d(-12) a prime number?
True
Suppose 2*a = -18*s + 14*s + 225158, 4*a - s = 450307. Is a composite?
False
Suppose 237*p - 13*p - 19978336 = 0. Is p prime?
True
Let u = -407 - -412. Suppose 20316 = u*g + 7*g. Is g prime?
True
Let m(g) = g**2 + 9*g - 19. Let f be m(-11). Suppose -5*k - 3*h + 78856 = -k, f*h = -5*k + 98573. Is k a prime number?
True
Let x(p) be the second derivative of 147*p**5/20 + 7*p**3/6 - p**2/2 + 27*p. Is x(3) prime?
True
Suppose 5*f - 14052 = 30878. Suppose 2*m + 1596 = f. Is m a prime number?
False
Let f = -106 + 106. Suppose 0 = -f*b - 2*b + 5398. Is b a prime number?
True
Suppose -15*z + z + 429758 = 0. Is z a composite number?
False
Let f = 235533 + -113516. Is f a composite number?
True
Suppose -3*c - 211 = -5*m - 2*c, 4*m - c - 169 = 0. Is (m/(-12))/7 - 26457/(-6) a prime number?
True
Suppose 2*v - 3*m = 1094, -4*v + m + 2748 = v. Let z = 1491 - v. Is z composite?
False
Let b(d) = d**3 - 6*d**2 - 2*d + 10. Let u be b(6). Let q be ((-17471)/u)/((90/12)/15). Suppose 12*z - 6205 = q. Is z a composite number?
False
Let a = -25993 + 82482. Is a a prime number?
True
Let l = 8619 + -200. Is l a composite number?
False
Suppose 0 = 3*l + d - 148357, -24*l + d = -21*l - 148349. Is l prime?
True
Let z(k) = -9*k - 5. Let o be z(-1). Suppose 1 = -o*x - 3*v - 2, -2*v = -2*x + 2. Suppose x = 2*q - 261 - 637. Is q a prime number?
True
Let x = -48 + 60. Let m(d) = 349*d - 61. Is m(x) prime?
True
Let n = -43488 - -112853. Is n a composite number?
True
Suppose 5*c + 0*f - f = -53, 5*c = -f - 57. Let t(y) = -51*y - 34. Is t(c) a composite number?
True
Let b(i) = -31*i**3 + 11*i + 32. Let n be b(-5). Let x = 24294 - 12348. Suppose -x - n = -6*s. Is s prime?
True
Let u = -744848 + 1701613. Is u prime?
False
Let a = -99 - -102. Suppose 0 = a*w + 12. Is (5 - 1) + w + 2*29 a prime number?
False
Suppose -5*j - 3 = 17.
|
{
"pile_set_name": "DM Mathematics"
}
|
m, 3, 5
Let i = -2649 - -2675. Sort 2/13, i, 1, -3.
-3, 2/13, 1, i
Suppose -5*l - 51 = -66. Put l, 0, 4 in ascending order.
0, l, 4
Let z = -235 + 234. Put 3, -6/11, z in descending order.
3, -6/11, z
Let h(m) = 76*m**3 - 1 + 0 + 14*m**2 - 73*m**3 + m**2. Let r be h(-5). Sort -6, 0, r in increasing order.
-6, r, 0
Let h = -29.1 + 29.4. Let o = -2 - -2. Let b = -0.4 - o. Put h, 4/3, b in descending order.
4/3, h, b
Let g(l) = l**2 + 2*l - 2. Let t be g(1). Suppose v - 3*w - t - 6 = 0, 2 = -2*w. Put 2, v, 7 in descending order.
7, v, 2
Let i = 365/2261 + -6/323. Put -3/5, -2/9, i in decreasing order.
i, -2/9, -3/5
Suppose 4*i - 3*o - 1 = -i, -2*i - o + 7 = 0. Suppose 4*u = m + 3*u, -m - 10 = 4*u. Let a(w) = w**3 - 13*w**2 + 14*w - 27. Let f be a(12). Sort m, i, f.
f, m, i
Let s be ((-8)/(-6))/((-84)/(-63)) + 5. Sort 74, -3, s in descending order.
74, s, -3
Let s(b) = 2*b**2 - 3*b - 4*b**2 - 10*b**2. Let y be s(-2). Let q be 2/7 + 12/y. Sort q, -1, -5 in descending order.
q, -1, -5
Let f be 0 - (35/4 + (-6)/8). Let q(x) = -x**2 - 8*x - 2. Let i be q(f). Put 3, i, 9 in increasing order.
i, 3, 9
Let i be (-4)/(-7) + 6/14. Let g = -1 + i. Let j be -1 + g + (-45)/(-39). Put -2, j, -4 in descending order.
j, -2, -4
Let g = 0.2 - 0.3. Let h = 2912 + -2908. Sort -5, h, g in ascending order.
-5, g, h
Suppose -5*d + 10 = -10. Let g(u) = u + d + 0*u + u - u. Let y be g(-3). Sort 7, -4, y.
-4, y, 7
Let t = -0.4887 - -0.3887. Let r = -5.6 + 0.6. Sort r, t, -8, 4 in decreasing order.
4, t, r, -8
Suppose -10 + 23 = 13*f. Let l(n) = n - 13. Let j be l(9). Sort j, -3, f.
j, -3, f
Let l = 772 - 771.7. Let w = -28/9 - -718/225. Sort w, -3, -2, l in increasing order.
-3, -2, w, l
Let c = 1.77 + -1.7. Let k = c - -0.43. Let v = 1116/13 - 86. Sort k, v, 5 in decreasing order.
5, k, v
Let m = 30 - 32. Sort -3, m, 0 in decreasing order.
0, m, -3
Let y be 2/(-14) - (-2380)/(-490). Let u = -0.3 + -0.4. Let g = u + 0.4. Sort 6/5, g, y in decreasing order.
6/5, g, y
Suppose 4*l = p + 253, 4*l + 2*p = 164 + 74. Sort l, 4, 2 in decreasing order.
l, 4, 2
Let x be 2/7 + 24/(-6300)*40. Put x, 32, -4, 0.13 in ascending order.
-4, 0.13, x, 32
Let o = 0.133 + 0.007. Let q = 13 + -13.4. Put 5, q, o in ascending order.
q, o, 5
Let b = 302 - 300. Sort -4, 4, 5, b in ascending order.
-4, b, 4, 5
Let v = -1 + 0. Let x = -2 - v. Let o(p) = p**2 - 318*p - 640. Let w be o(-2). Sort 4, x, w in ascending order.
x, w, 4
Suppose -c - 13*d = -10*d - 20, -2*c - 5*d = -35. Put c, 4, 71 in decreasing order.
71, c, 4
Let w = 2 + -2. Let u = -11 + 23. Let n be ((-6)/(-9))/(u/(-54)). Put 2, n, w in decreasing order.
2, w, n
Let k = 0.3 - 0.32. Let c = -1.02 - k. Let r = 0.34 + 0.06. Put c, -0.3, r in descending order.
r, -0.3, c
Suppose -5*y - 16 = 5*z - 7*y, -z - 8 = -2*y. Sort 4, 0, -25, z in descending order.
4, 0, z, -25
Let t = -0.2 + 14. Let v = t - 5.7. Let i = 8 - v. Sort 5, 0.2, i.
i, 0.2, 5
Let z(h) = h**3 - h**2 - 3*h + 4. Let c be z(2). Let f be (-1)/(c/1)*30/12. Sort -2, -3, f, -5.
-5, -3, -2, f
Let q be 2/(-2)*(56/(-21))/(-8). Sort -67, q, 1, -2.
-67, -2, q, 1
Suppose -2*u + 7*u + 2*l - 2 = 0, 2*l = -8. Suppose -10 = -u*w + 4*w. Sort w, 26, -4 in decreasing order.
26, -4, w
Suppose 75*m + 54 = 81*m. Sort 2, m, -3 in ascending order.
-3, 2, m
Let o = 3 - 2.6. Suppose 0 = 2*n - 6, -5*s + 2*n + 2*n + 198 = 0. Let w be -2*(s/9)/(-7). Put 0, o, w in descending order.
w, o, 0
Suppose -7*g + 15 = -2*g. Let t = 6 + -3. Suppose -x + 8 = -t*x. Sort x, g, 0.
x, 0, g
Suppose -5*l - 35 = -3*a, a + 4*l = -l + 5. Put -1, a, 1 in increasing order.
-1, 1, a
Suppose 5*u - 5*s + 81 = -14, 4*u + 106 = -2*s. Put u, -1, 2 in ascending order.
u, -1, 2
Let u = -1/2201 + -4387/33015. Sort 1, 5/6, u, 0 in ascending order.
u, 0, 5/6, 1
Let g be (-1)/((-3)/(-18)) - -10 - -4. Put -4, 1, g in increasing order.
-4, 1, g
Let x be 43/(-215) + (-31)/70. Sort 2/5, -0.5, x, -4 in descending order.
2/5, -0.5, x, -4
Let d = 149 - 150. Let k = -2 + 0. Put d, 0, k in decreasing order.
0, d, k
Suppose -4*o - 59 - 13 = 0. Let c be (-1 - -1)/((-18)/o). Put 0.6, 4, c in ascending order.
c, 0.6, 4
Let n(a) = -a**3 + 5*a**2 + 5*a + 2. Let g be n(6). Suppose 0 = -183*k + 182*k - 5. Put 3, k, g in descending order.
3, g, k
Let j be 21/12 - (-1 + 2). Sort -33, j, 3, -2/3 in descending order.
3, j, -2/3, -33
Let m(z) = -z**2 + z. Let f be m(0). Let v = 1.437 - 0.437. Put -0.17, f, 3, v in decreasing order.
3, v, f, -0.17
Let k = -11.8 - -4.9. Let a = 1.1 - k. Let n = -8 + a. Sort n, 1, 0.1 in decreasing order.
1, 0.1, n
Let n = 1368 + -1369. Suppose -2*z + 3 - 23 = 0. Sort -4, z, n.
z, -4, n
Let y = 46 + -97. Let i = -47 - y. Let r be (18/(-15))/(2/(-5)). Sort r, -4, i.
-4, r, i
Suppose -5*h - 2*b = 20, -2*h + b = 3*h + 20. Put 42, h, -2 in ascending order.
h, -2, 42
Let p(d) = -d**3 - 45*d**2 - 131*d - 211. Let k be p(-42). Let x be 3*-1 + (-1)/1. Put x, 5, 4, k in ascending order.
x, k, 4, 5
Let q be (-260)/6 - 6/9. Let h be 6/(-42) + q/(-14). Let i(y) = -3*y - 1. Let m be i(-2). Sort h, m, 4.
h, 4, m
Let l be (-7)/(84/(-9)) + 12/(-8). Let u = 7.8 + -9. Let o = 1 + u. Put l, -0.1, o in decreasing order.
-0.1, o, l
Let h be (-2 - (-5)/3)/1. Let b = 0.0865 + -1.0865. Sort b, h, -2.
-2, b, h
Let q = -2816 - -1459. Let n = q + 17665/13. Let o = n + -2. Sort 3, o, -2/9 in ascending order.
-2/9, o, 3
Let p = -1069 - -5343/5. Let q = 6 - 8. Let o = q - -3. Sort p, o, 0.1 in increasing order.
p, 0.1, o
Suppose 7*j - 47 = -33. Put -100, 1, j in increasing order.
-100, 1, j
Let l = -13 + 1. Let p be -2 + 4 + (-14)/(-2). Let f = p + l. Sort 1, f, -1.
f, -1, 1
Let c = -43 - -50. Let l be (-70)/c*(-2)/5. Put l, -0.1, -4 in descending order.
l, -0.1, -4
Let a = -241947/868 - -1115/4. Sort 1/6, -0.2, a.
-0.2, a, 1/6
Let g = -114 - -124. Put g, 1, 0, -1 in increasing order.
-1, 0, 1, g
Let b be (-1)/3 + 26 + -25. Let w = -0.16 + -0.04. Put -2/9, b, w in increasing order.
-2/9, w, b
Let n = -584 - -583. Put -61, n, 2 in descending order.
2, n, -61
Let u(b) = b**2 - 26*b - 86. Let d be u(29). Let l(j) = -j - 2. Let z be l(-8). Suppose 5*m + 2 = z*m. Sort -5, m, d in descending order.
m, d, -5
Let z(p) = p**3 - 2*p**2 - 4*p + 5. Let a be z(3). Let u be 0 + a - (2 + -4). Let j be (9/(-12))/(1/u). Sort j, -1, -2 in increasing order.
j, -2, -1
Let l be 3/(-4) + -2 + 83/36. Sort -0.5, l, -0.04 in ascending order.
-0.5, l, -0.04
Let l = 1247 - 1238. Sort 0.3, 2/23, l, 1 in descending order.
l, 1, 0.3, 2/23
Let g = 12 - 10. Suppose 2*t = -0*t + g. Let r(d) = d + 7. Let h be r(-11). Put h, 5, t in descending order.
5, t, h
Let i be (760/1330)/(1/(-7)). Suppose 0 = 4*h + 6 + 6. Sort i, h, 1 in descending order.
1, h, i
Let b be 124/24 - (-1 - (-14)/12). Put 2/7, 2/13, b, 2/3 in ascending order.
2/13, 2/7, 2/3, b
Let h be (((-39)/(-2))/13)/((-1)/(-2)). Let r be (-2)/3 + h/(-9). Suppose -2*x + 3*f - 6 = 0, 3*x + 0*f = f - 2. Sort -5, r, x in decreasing order.
x, r, -5
Let v be 1*(-1 - -6) - 3. Let r = -196 - -191. Sort -2, r, v.
r, -2, v
Let x = 748 + -745. Let i = -0.2 - 0.2. Sort i, 0.4, 1/2, x in increasing order.
i, 0.4, 1/2, x
Let x(l) = l**2 + 22*l + 112. Let u be x(-9). Sort u, 2, 4, 0 in increasing order.
u, 0, 2, 4
Let k = -217/232 - -7/116. Let n = k + 65/56. Sort 0.4, 5, n in decreasing order.
5, 0.4, n
Suppose 5412 = 74*c - 62*c. Sort c, -3, 5 in ascending order.
-3, 5, c
Suppose -2*z + z = 0. Let a(d) = -d - 21. Let h be a(-17). Sort z, h, -5 in descending order.
z, h, -5
Let i be (3/15)/(((-21)/6)/7). Sort i, -2, 0 in decreasing order.
0, i, -2
Let x be (-64)/352 + 53/(-11). Let n be x - (-4 - (-1 - 0)). Sort 4, -5, n, 11 in descending order.
11, 4, n, -5
Let q = -18 + 31. Let d = q - 89/7. Sort 4/5, d, -1 in increasing order.
-1, d, 4/5
Suppose 3*j - 4*s = -9*s - 30, 5*s - 10 = 5*j. Let f(x) = 4*x**3 - 11*x**2 + 23*x - 9. Let t be f(2). Sort 2, j, t in decreasing order.
t, 2, j
Let v = 1.5 + -2.5. Let z = 61/2 + -31. Let l = -4 - 0. Sort v, z, l.
l, v, z
Suppose 3*q - 9*q = -24. Put -20, -2/5, q in increasing order.
-20, -2/5, q
Let t = -4/519 + -55/346. Sort -0.17, -2/7, t, 0.6 in descending order.
0.6, t, -0.17, -2/7
Let w be 4/(-6) + (-8)/(-6). Let i = -1.75 - -2.25. Sort i, 4, w.
i, w, 4
Suppose 5*v - 22 = -2. Let n be (v - 3)*(2 - 0). L
|
{
"pile_set_name": "DM Mathematics"
}
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6. Let w be 49152/h + 6/(-39). Are w and 631 non-equal?
True
Let h be 2/9 + 240/(-108). Let y(k) = 9*k - 2. Let t be y(h). Suppose 32*i - 33*i = x + 16, -3*i + 3*x = 78. Are i and t unequal?
True
Let h = -8117 + 8275. Which is greater: h or 162?
162
Let b = -495 - -220. Let r = b - -1383/5. Let h(i) = -2*i - 5. Let p be h(-4). Is p at least r?
True
Let x(a) = 141*a + 4224. Let i be x(-30). Let k = 1 - -1. Suppose k*h = 3*p - 3, -3*p - 2*p - 3*h = -24. Which is bigger: i or p?
p
Let u = 3299.16 - 44.16. Is 0.1 at most as big as u?
True
Suppose i = -2*p + 3*p + 1, -3*p + 3 = 0. Suppose 0 = i*v + 5*n - 4*n - 107, 0 = v + n - 53. Which is bigger: v or 53?
v
Suppose 194025 + 135977 = 102*s - 11494. Is 3348 less than or equal to s?
True
Let v be (5/50)/((-25)/30). Which is bigger: -1.7 or v?
v
Suppose 8*u - 114 = -122. Which is smaller: 3823 or u?
u
Let z = -0.9535 + -0.0465. Which is greater: z or 0.02908?
0.02908
Let k = 12081 + -11618. Is k bigger than 463?
False
Let w = -171 - -172. Let y = -244.944 + 245. Is w >= y?
True
Suppose 1 = 2*v - 1. Let u = 1519/8 + -190. Let a = 21/104 + u. Are v and a non-equal?
True
Suppose -3*p + 3 = -0, -7 = x - 5*p. Let l be (2 + -2)/(3 + 10/x). Which is smaller: l or 1/7?
l
Let k = 23.764 - 26.464. Do -0.15 and k have different values?
True
Let w be (-4)/(-4) - -2 - -4. Let o be (w + -7)*(-2)/2. Let h = -97525/59 + 1653. Which is smaller: h or o?
o
Let b = 1743 + -1798. Is -53 less than or equal to b?
False
Let j be (-412 + 4)/((-3)/2). Let c = 1356/5 - j. Let v be (1/(-3))/((-1392)/(-72) - 19). Is c < v?
False
Let q = -1106.8 + 1114.8. Is q less than or equal to 0.0534?
False
Let d = -13 + 9. Let m(f) = -f**3 - 4*f**2 - 4*f + 5. Let h be m(-4). Let l be d + h + -4 - 2. Which is smaller: l or 8?
8
Suppose 541 + 845 = -18*b. Let l = -4544/59 - b. Is -1 at most as big as l?
True
Let a = 547 - 37195/68. Let s(l) = -43*l + 4428. Let m be s(103). Which is bigger: m or a?
a
Suppose 76*q = 262 - 262. Is q greater than 1/1699?
False
Suppose -l = -0*l - 7*l. Let z(u) = u**3 - 3*u**2 + 2*u - 4. Let a be z(l). Is -49 < a?
True
Suppose 5*i - 5*n = -1035, -5*n - 92 + 713 = -3*i. Let o = -71 - i. Which is smaller: 273/2 or o?
o
Let b(t) = 16*t**2 + 5*t + 9. Let u be b(-2). Let n = 25 + u. Let w be 12/(-28)*(1 + (-2)/6). Which is greater: w or n?
n
Suppose 0 = -61*b + 59*b - 5*v - 100, b - 5*v = -20. Suppose 0 = -2*m + 147 + 57. Let f be m/b + (-40)/(-16). Which is smaller: 0.1 or f?
f
Suppose 36 = -15*r - 54. Let x be r/(-4) + 1256/(-16). Which is smaller: x or -153/2?
x
Suppose -b + 8 = -4. Let n be 0/(b/(-5) - 28/(-70)). Let i be (-2)/(-9) - (n - 32/18). Is 2 at least i?
True
Let w = 31 - 14. Let c = 331 + -316. Suppose 0 = c*q + 5 - 260. Does q = w?
True
Let s = -792 - -787. Let d be (-48)/10 - s*(13 - 12). Is 0.01 smaller than d?
True
Suppose -32 = -2*o - 376. Suppose 1998*a + 4*z = 1994*a - 708, 0 = -2*a + 3*z - 324. Which is smaller: o or a?
o
Let f be -17 - -18 - (-131 + 0/(-2)). Suppose -3*h + f = -126. Suppose 0 = v - o - 32, 3*v - 4*o + 3*o - h = 0. Which is smaller: v or 26?
26
Let s = 3 + -3.1. Let u = s - 7.9. Let x = 646 + -646. Is x smaller than u?
False
Let q = 1.49 - 92.49. Let a = q + 97. Let j = 0.9 + -1.9. Is a < j?
False
Let j be 3 + 0 + 52/598 + 5422/69. Is j less than -0.02?
False
Suppose 0 = -3*g - 2*c + 4*c + 10, -4 = -4*c. Suppose 4*q + 460 = -g*o, 95 = -q + 3*o - 0. Which is smaller: q or -111?
-111
Let t be (-2325)/(-175) + 14 + -27. Let k be ((-1)/22)/((-9)/6). Is t not equal to k?
True
Let n = -651 + 650. Which is smaller: n or 9/200?
n
Let q = 8/18093 + -4999723/54279. Which is bigger: -93 or q?
q
Let w be (14/(-44) + 8/(-44))/((-112)/224). Which is smaller: w or 4/245?
4/245
Suppose -z - 3 = -2. Let v be (-45)/4 + 11 + (-780)/(-3376). Which is greater: z or v?
v
Suppose 5*d + 31 = -3*u, 2*u - 3*d - 48 = -56. Let q be 10*(6/(-4) - -2). Let i = -1 - q. Is i >= u?
True
Let r = 7817/6 + -1284. Is -1 != r?
True
Let w = -4 + 4.3. Let h = w - 0.4. Let j = -23655 - -23654.8. Is j smaller than h?
True
Suppose 0 = 5*x - 84 + 64. Let k = 3 - -2. Suppose 9 = -x*m + k. Which is bigger: 1/22 or m?
1/22
Let v = 12218/385 + -1098/35. Let r(t) = t + 3. Let p be r(-4). Which is smaller: v or p?
p
Let t be ((-1)/2)/((77/(-602))/11). Let o = 136 - 92. Is o greater than or equal to t?
True
Let c = 8617 + -10629. Are c and -2 nonequal?
True
Let j(b) = b**3 - 16*b**2 - 17*b + 62. Let h be j(6). Which is greater: -5 or h?
-5
Let o = -28 + 66. Let q = o + -30. Suppose 2*t - 4 = 10. Are t and q non-equal?
True
Let n be (6/(-12))/1*(-14 - 2474). Is n != 1239?
True
Suppose 532 - 28 = 8*j. Suppose j*s - 44 = 19*s. Is -9/35 >= s?
False
Let h = -9.39 - -4.79. Let x be (-3)/36 + 1/3. Is h at least as big as x?
False
Suppose 6194 = j + 3*c, -4*j + 4*c - 3393 = -28089. Suppose 0 = -16*i + j - 595. Which is smaller: 350 or i?
i
Let x(y) = -473*y + 3783. Let f be x(8). Is 2/59837 at most as big as f?
False
Let h = -1082 - -1809. Let x = -727.1 + h. Which is bigger: x or 408?
408
Let t be -4*(889/133 - 3). Is t greater than -1?
False
Let j = -21.99 + 32.99. Is j != -201?
True
Let x(p) = p**2 - 38*p - 300. Let d be x(-7). Which is bigger: -7/5 or d?
d
Suppose -5*r = m - 1000, -m = 4*r + 4*m - 821. Let g = -24 + r. Let c be 2/(-5) + 70/g. Which is bigger: c or -1/7?
c
Let u = -1953 + 1953.5. Let p = 13.19 - -1.81. Is u > p?
False
Let g = -1062.91649 + -0.08351. Does 1/4 = g?
False
Suppose 3*t + 272 = -v, 4*t - 254 = 3*v - 595. Which is greater: t or -5?
-5
Let m be 304*((-51)/(-459))/((-2)/(-9)). Which is smaller: 10 or m?
10
Let k(p) = -3*p - 62. Let t be k(-27). Suppose t*s = 12*s + 7. Are 2/281 and s non-equal?
True
Let w = -168 + 119. Let t = w + 50. Do 5 and t have the same value?
False
Suppose -5*a = 4*r - 34, 0*a - 5*a + 22 = 2*r. Let k be (-7)/(-63) - (-27699)/27. Let j = 1032 - k. Is r greater than j?
False
Let u = 9579 + -9756. Which is smaller: u or 12?
u
Let m be 32189/(-8910) + ((-72)/(-33) - 2). Let z = 5/162 + m. Which is greater: 0 or z?
0
Suppose 0 = -2*l + 3*u + 5371, -l - 173*u = -177*u - 2683. Do 0.1 and l have different values?
True
Let x(o) = o**3 + 15*o**2 - 35*o - 16. Let z be x(-17). Let r be ((z/1)/33)/((-48)/144). Which is bigger: 3 or r?
3
Suppose -7*n - 12*n = 19. Let y be n*(-14 + 8)/6. Is y < 1/412?
False
Suppose 2*n + 2 = 2*l + 30, 0 = 2*n + 4*l + 2. Let p(v) = -57*v + 12. Let c be p(n). Let j = -9523/19 - c. Is j < 1?
True
Let t = -1682 + 1680. Which is smaller: t or 13/4?
t
Let l = 18706 + -18913. Is l less than or equal to -9?
True
Let s(k) = k + 14. Let i be s(-8). Let j be -1*4 + -3 + i. Let t be 6/(-9) - (-7)/24. Which is bigger: t or j?
t
Suppose -333 = 4*x - 85. Let h = -62 - x. Which is smaller: h or 5/48?
h
Suppose 6*x - 214 = -58. Suppose 7 = -25*k + x*k. Which is greater: 1 or k?
k
Suppose -2*m = -3*x - 883, -64*m + 2*x = -60*m - 1754. Is m >= 437?
True
Let m(g) = g**3 - 13*g**2 - g + 13. Let w be m(13). Suppose w = l + 1, 4*n + 8*l = 7*l - 25. Which is greater: n or -7?
n
Suppose -99*i + 91*i + 24 = 0. Suppose 2*n - 23 = 3*n - l, 5*l = -i*n - 45. Do n and -182/9 have the same value?
False
Let p be (-1872244)/(-19760) + (-45)/(-15). Let q = p + 1/1235. Is q not equal to 99?
True
Let g = 102 + -99. Suppose -12 = g*b + 3*l, b + l - 2*l = 4. Suppose b = 12*m + 7 + 5. Which is bigger: -1/2 or m?
-1/2
Let v(r) be the second derivative of r**3/2 + 7*r. Let h be v(-2). Let j be 15/h*3/(-675). Which is smaller: 0 or j?
0
Let x = 33397 - 33398. Which is bigger: x or -63/388?
-63/388
Let a be 1588/(-6) - (-1 + 16/12). Let r = a - -3443/13. Which is greater: r or 5/9?
5/9
Let i = -28 + 76. Let c = -50 + i. Let d(f) = -f**3 - 4*f**2 - 4*f - 1. Let m be d(-1). Which is smaller: c or m?
c
Let g be (-2)/(-4) - 738/(-12). Let p(o) be the second derivative of -o**4/12 - 11*o**3/3 - 25*o**2 + 2*o + 32. Let y be p(-14). Are y and g unequal?
False
Suppose 0 = 4*p - 7*p + 36. Let d = -1240 + 1277. Let a = d - p. Is 25 at most as big as a?
True
Let u = -256 - -240. Let p(b) = b**2 - 2*b - 13. Let f be p(6). Suppose m + 28 = f. Which is smaller: m or u?
m
Let b be 188122/6168 - -7 - 4/2. Let w = 1/3084 + b. Let u = w + -777/22. Which is smaller: u or 0?
0
Let q = -9.273 - -9.143. Which is bigger: -38 or q?
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{
"pile_set_name": "DM Mathematics"
}
|
5*d + 6. Let i be n(q). Let i*w**2 + 3*w**2 + 5*w**3 - 2*w**3 = 0. What is w?
-1, 0
Let b(n) = -n**3 + 7*n**2 - 5*n - 4. Let j be b(6). Suppose -j*h**2 + 2/3*h**3 + 2*h - 2/3 = 0. What is h?
1
Let o(v) be the first derivative of v**6/57 - 12*v**5/95 + 13*v**4/38 - 8*v**3/19 + 4*v**2/19 + 77. Factor o(q).
2*q*(q - 2)**2*(q - 1)**2/19
Let v(p) be the first derivative of -p**4/20 - 19*p**3/15 - 23*p**2/2 - 45*p + 53. Factor v(y).
-(y + 5)**2*(y + 9)/5
Let b(m) be the second derivative of -m**4/15 - 4*m**3/15 + 16*m**2/5 + 3*m - 73. Suppose b(y) = 0. What is y?
-4, 2
Let 50/7*l**2 + 2/7*l**3 + 726/7 + 374/7*l = 0. Calculate l.
-11, -3
Factor -16*s**3 - 92*s - 8*s - 24 - 8*s**2 - 26*s**2 - 78*s**2.
-4*(s + 6)*(2*s + 1)**2
Suppose -3*r + x + 8 = 2*x, -5*r = -2*x - 17. Let c(n) be the first derivative of 0*n - 1/5*n**5 + 17/20*n**4 + 2/5*n**2 - 16/15*n**3 + r. Factor c(p).
-p*(p - 2)*(p - 1)*(5*p - 2)/5
Let t be (43/7)/((-3)/(-6)). Let y = -704/63 + t. Solve 4/9*c - y*c**4 + 8/3*c**3 - 2*c**2 + 0 = 0.
0, 2/5, 1
Suppose 3*h + h = 0. Suppose 0 = -h*k - 2*k + 12. Factor -3 + x**4 + k*x**2 - 5*x**4 - x**4 + 2*x**4.
-3*(x - 1)**2*(x + 1)**2
Let -64*l**2 - 48392*l**3 + 44*l + 3896 + 48388*l**3 - 992 = 0. What is l?
-11, 6
Factor 0 - 21/2*k + 10*k**2 + 1/2*k**3.
k*(k - 1)*(k + 21)/2
Let y(b) be the first derivative of -12*b**2 + 21 + 969/4*b**4 - 132*b**5 - 99*b**3 + 12*b. Find q, given that y(q) = 0.
-2/11, 1/4, 2/5, 1
Let q(x) be the first derivative of x**5/20 + 15*x**4/8 + 193*x**3/12 - 60*x**2 + 64*x - 590. Suppose q(f) = 0. Calculate f.
-16, 1
Determine l, given that 11*l**2 + 43*l**3 + 15*l**2 + 95*l + 62*l**3 - 221*l**2 - 5*l**4 = 0.
0, 1, 19
Let i(p) be the third derivative of -p**5/12 + 5*p**4/8 + 25*p**3/3 - 22*p**2. Suppose i(r) = 0. What is r?
-2, 5
Let f = -16 - -20. Let d(i) = 5 + 11 - f*i - 14. Let w(g) = g**3 + g - 1. Let m(u) = -2*d(u) - 4*w(u). Factor m(o).
-4*o*(o - 1)*(o + 1)
Let f(i) be the third derivative of -i**7/6300 + i**6/540 - i**5/300 - i**4/20 - 3*i**3 - 3*i**2. Let n(h) be the first derivative of f(h). Factor n(r).
-2*(r - 3)**2*(r + 1)/15
Let l(d) be the third derivative of -d**7/210 - 13*d**6/120 - 11*d**5/60 + 13*d**4/24 + 2*d**3 - 192*d**2. Factor l(f).
-(f - 1)*(f + 1)**2*(f + 12)
Let j be ((-46)/(-36) - 1) + 32/144. Let i(x) be the first derivative of -j*x - 1/16*x**4 + 1/6*x**3 - 7 + 1/8*x**2. Factor i(t).
-(t - 2)*(t - 1)*(t + 1)/4
Let g be (-4)/(-8) - (-30)/4. Suppose -2*s = -w - g, -3*w + 8*w = s - 22. Factor -6*l**5 - 2*l**3 - 3*l**4 - s*l**4 + 3*l**5.
-l**3*(l + 1)*(3*l + 2)
Let d(r) be the first derivative of 17*r**4/6 + 110*r**3/9 + 46*r**2/3 + 16*r/3 + 183. Suppose d(f) = 0. What is f?
-2, -1, -4/17
Let o(p) be the second derivative of -p**7/7560 + p**6/3240 + p**5/270 - p**4/54 - 2*p**3 - 14*p. Let z(g) be the second derivative of o(g). Factor z(i).
-(i - 2)*(i - 1)*(i + 2)/9
Factor 39/7*j + 18/7 - 24/7*j**2.
-3*(j - 2)*(8*j + 3)/7
Let y be (24/(-8) + 3)*1. Let u(h) be the second derivative of 1/12*h**3 + 4*h + 0*h**2 + y + 1/48*h**4. Determine s, given that u(s) = 0.
-2, 0
Let b(x) be the first derivative of -1/6*x**2 + 1/12*x**4 + 0*x**3 - 7 + 0*x. Find h such that b(h) = 0.
-1, 0, 1
Let w = 143 - 138. Suppose -7*h - w*h - h = 0. Suppose h*a**3 + 0*a**2 - 3/4*a**5 + 3/4*a**4 + 0*a + 0 = 0. What is a?
0, 1
Let q(d) = 4*d**4 + 8*d**3 + 6*d**2 + 10*d + 8. Let j(x) = x**4 + x**3 - x**2 + x + 2. Let t(i) = -3*j(i) + q(i). Factor t(m).
(m + 1)**3*(m + 2)
Let u(y) be the first derivative of 0*y + 3/4*y**2 - 15/16*y**4 + 3/4*y**3 + 7. Find q, given that u(q) = 0.
-2/5, 0, 1
Suppose 4*q + 3 = 11. Suppose 0*j - 257*j**2 + 0*j + 3*j**3 - j**4 + 255*j**q = 0. Calculate j.
0, 1, 2
Let y be 3*4*(-4)/(-16). Let b = y - -1. Determine c so that -3*c**2 - 12*c - 4*c**2 - 15 + b*c**2 + 3 = 0.
-2
Let g(y) be the second derivative of 0 + 1/7*y**2 - 1/42*y**4 + 12*y + 1/42*y**3 - 1/140*y**5. Solve g(m) = 0 for m.
-2, -1, 1
Let f be -86*(-2 + 2 + -1). Suppose 4*j + d + 3*d = 320, j = 5*d + f. Factor 285 - 3*u**2 - 349 - j*u**2 + 10*u**3 + 192*u.
2*(u - 4)**2*(5*u - 2)
Let l be 15/9 - (-1 + 12/6). Let u(w) be the first derivative of 4 - l*w**3 - 2*w**2 - 2*w. Factor u(j).
-2*(j + 1)**2
Let z(s) be the second derivative of 2*s**6/105 - 3*s**5/28 + 4*s**4/21 - s**3/14 - s**2/7 + 34*s - 4. Factor z(x).
(x - 2)*(x - 1)**2*(4*x + 1)/7
Let b = -29503/8 - -3688. Factor -b*r**5 + 0 + 0*r + 1/8*r**3 - 1/8*r**2 + 1/8*r**4.
-r**2*(r - 1)**2*(r + 1)/8
Determine h so that 10/17*h**2 - 2/17*h**3 - 16/17 - 4/17*h = 0.
-1, 2, 4
Let k(v) be the first derivative of v**6/1980 - v**5/660 - v**4/66 - v**3 + 13. Let t(b) be the third derivative of k(b). Factor t(o).
2*(o - 2)*(o + 1)/11
Let i be ((-10)/(-105))/(8/16). Let x(k) be the first derivative of -6 - i*k**3 - 12/7*k - 8/7*k**2. Factor x(t).
-4*(t + 1)*(t + 3)/7
Let t(m) be the first derivative of m**7/21 + 4*m**6/15 + 3*m**5/10 + 3*m - 16. Let r(k) be the first derivative of t(k). Factor r(p).
2*p**3*(p + 1)*(p + 3)
Let b(f) be the third derivative of f**5/510 + 7*f**4/204 - 8*f**3/51 - 2*f**2 - 22*f. Factor b(l).
2*(l - 1)*(l + 8)/17
Let s(j) be the third derivative of j**7/105 + 91*j**6/240 + 13*j**5/24 - 11*j**4/24 - 23*j**2. Find a, given that s(a) = 0.
-22, -1, 0, 1/4
Suppose 7*v - 24*v = 17. Let z be (-90)/(-72) + v/(-4). Find a, given that -3/2*a**4 + 0 + 0*a**3 + 0*a + z*a**2 = 0.
-1, 0, 1
Let o = 23832 + -23830. Find m, given that -1/2*m**o + 4 + 7/2*m = 0.
-1, 8
Let v(q) be the second derivative of q**6/60 + q**5/40 - 5*q**4/24 + q**3/4 + q - 79. Factor v(r).
r*(r - 1)**2*(r + 3)/2
Let u(s) = 10*s**4 + 115*s**3 + 420*s**2 + 645*s + 305. Let v(p) = 5*p**4 + 58*p**3 + 210*p**2 + 323*p + 151. Let x(l) = 3*u(l) - 5*v(l). Factor x(w).
5*(w + 1)*(w + 2)*(w + 4)**2
Let h = -12 - -9. Let z(d) = -d**3 - 2*d**2 + 2*d - 3. Let o be z(h). Suppose -2/5 + 4/5*u**2 + 0*u**3 + o*u - 2/5*u**4 = 0. Calculate u.
-1, 1
Let k(s) be the second derivative of s**7/21 - 2*s**6/45 - 3*s**5/10 + 4*s**3/9 - 4*s - 24. Determine m, given that k(m) = 0.
-1, 0, 2/3, 2
Let r(t) = -2*t**2 - t - 1. Let i(s) = 10*s**2 - 8*s + 22. Let z(x) = -i(x) - 4*r(x). Factor z(g).
-2*(g - 3)**2
Let x(z) be the third derivative of 0*z + 0*z**3 + 0 + 1/60*z**6 + 2/15*z**5 - 1/105*z**7 - 1/3*z**4 + 30*z**2. Find b such that x(b) = 0.
-2, 0, 1, 2
Let w = -836 + 838. Factor 3/2*n**w + 3 + 9/2*n.
3*(n + 1)*(n + 2)/2
Let k(i) be the second derivative of i**7/630 + i**6/45 - i**5/6 + i**4/3 - 15*i. Let o(m) be the third derivative of k(m). Determine g, given that o(g) = 0.
-5, 1
Let d(g) be the first derivative of 16 + 4/9*g + 1/18*g**4 + 5/9*g**2 + 8/27*g**3. Solve d(l) = 0.
-2, -1
Factor -11*h**2 - 9*h**3 + 29*h**3 + 15*h**3 - 5*h**4 - 64*h**2 + 45*h.
-5*h*(h - 3)**2*(h - 1)
Let h(a) = a**2 + 3*a + 3. Let q be h(0). Let o(x) be the first derivative of 2*x**2 - x**4 + 2/5*x**5 - 2*x + 0*x**q - 8. Factor o(d).
2*(d - 1)**3*(d + 1)
Suppose -32/9*d**2 - 2/9*d**3 + 34/9*d + 0 = 0. What is d?
-17, 0, 1
Suppose 556/7*q**3 + 220*q**2 + 56 + 1364/7*q - 12/7*q**4 = 0. Calculate q.
-1, -2/3, 49
Let i(r) be the first derivative of -4/21*r**3 - 8/7*r + 6/7*r**2 - 22. What is d in i(d) = 0?
1, 2
Let g = 78 - -60. Let m = g + -1516/11. Factor -2/11*w**5 + 0 - m*w + 0*w**2 + 0*w**4 + 4/11*w**3.
-2*w*(w - 1)**2*(w + 1)**2/11
Let t(w) be the second derivative of -w**6/30 - 3*w**5/10 - 3*w**4/4 - 2*w**3/3 + 115*w. Factor t(g).
-g*(g + 1)**2*(g + 4)
Let y(t) = -t**2 - 9*t + 2. Let k be y(-8). Let x = -7 + k. Find i, given that i**2 - x*i + 3*i - 2*i = 0.
0, 2
Suppose -6 = -8*n + 5*n. Let -6*v**3 - 9*v**n + 9*v**3 - 6*v**3 + 12 = 0. Calculate v.
-2, 1
Let h be (84/(-280))/(1/(-20)). Let y(b) be the third derivative of 2/3*b**3 + 0*b + 16/5*b**5 + 2*b**4 + 0 + 32/15*b**6 + h*b**2. Factor y(i).
4*(4*i + 1)**3
Let y(l) be the third derivative of -l**6/30 + l**5/15 + l**4/3 + 3*l**2 + 53*l. Determine z so that y(z) = 0.
-1, 0, 2
Let c be 5*((-11)/55 - -1). Factor 18/5*j**c + 0 + 3/5*j**5 + 36/5*j**2 + 39/5*j**3 + 12/5*j.
3*j*(j + 1)**2*(j + 2)**2/5
Let u(b) be the third derivative of -b**8/168 + 4*b**7/105 - b**6/20 - 2*b**5/15 + b**4/3 - 24*b**2. Find n such that u(n) = 0.
-1, 0, 1, 2
Suppose 3/8*v**4 + 3*v - 3/4*v**3 - 3/2*v**2 + 0 = 0. What is v?
-2, 0,
|
{
"pile_set_name": "DM Mathematics"
}
|
ple of 268?
True
Is 161 even?
False
Does 6 divide 64062?
True
Does 13 divide 68866?
False
Does 16 divide 54912?
True
Does 42 divide 42?
True
Is 137 a factor of 58910?
True
Is 5925 a multiple of 75?
True
Is 9 a factor of 610?
False
Does 17 divide 41165?
False
Is 9 a factor of 559?
False
Is 165 even?
False
Is 36 a factor of 8620?
False
Is 43 a factor of 17716?
True
Is 200 a multiple of 20?
True
Is 6 a multiple of 6?
True
Is 22 a factor of 1031?
False
Is 208 a factor of 6132?
False
Does 91 divide 1183?
True
Does 19 divide 1005?
False
Is 770 a multiple of 35?
True
Is 145 a factor of 50315?
True
Does 5 divide 405?
True
Is 525 a multiple of 6?
False
Is 2774 a multiple of 48?
False
Does 7 divide 4396?
True
Is 13 a factor of 1559?
False
Does 23 divide 18722?
True
Is 39 a factor of 6468?
False
Is 14 a factor of 67599?
False
Is 23052 a multiple of 17?
True
Is 2179 a multiple of 5?
False
Is 149 a factor of 15935?
False
Is 52 a factor of 5320?
False
Is 20373 a multiple of 195?
False
Does 42 divide 336?
True
Does 20 divide 120778?
False
Does 23 divide 8280?
True
Is 1599 a multiple of 13?
True
Does 22 divide 176?
True
Does 24 divide 4375?
False
Is 60 a factor of 3475?
False
Does 29 divide 667?
True
Does 4 divide 2449?
False
Does 120 divide 39840?
True
Does 32 divide 864?
True
Is 63 a factor of 12619?
False
Is 6 a factor of 1840?
False
Is 80 a multiple of 11?
False
Is 33125 a multiple of 19?
False
Is 37 a factor of 946?
False
Does 10 divide 65?
False
Is 9219 a multiple of 7?
True
Is 1109 a multiple of 2?
False
Does 105 divide 3315?
False
Is 11 a factor of 672?
False
Is 47 a factor of 18223?
False
Is 540 a multiple of 60?
True
Is 4638 a multiple of 85?
False
Does 65 divide 6825?
True
Is 40 a factor of 1388?
False
Is 16 a factor of 9165?
False
Does 26 divide 11518?
True
Is 3918 even?
True
Is 182 a multiple of 26?
True
Does 40 divide 4671?
False
Does 29 divide 1479?
True
Is 13452 a multiple of 114?
True
Is 3 a factor of 493?
False
Is 5 a factor of 9274?
False
Does 11 divide 264?
True
Does 8 divide 34944?
True
Does 3 divide 9?
True
Does 35 divide 595?
True
Does 66 divide 12737?
False
Is 3 a factor of 586?
False
Is 19625 a multiple of 20?
False
Is 189 a factor of 27048?
False
Is 235 a multiple of 12?
False
Is 283 a factor of 566?
True
Does 13 divide 9165?
True
Is 180 a multiple of 45?
True
Is 1452 a multiple of 33?
True
Is 2925 a multiple of 9?
True
Does 14 divide 3136?
True
Is 290 a multiple of 27?
False
Is 35 a factor of 1043?
False
Is 5280 a multiple of 26?
False
Is 5292 a multiple of 16?
False
Is 24 a factor of 552?
True
Does 47 divide 2090?
False
Does 10 divide 868?
False
Does 83 divide 61166?
False
Is 560 a multiple of 28?
True
Does 9 divide 657?
True
Is 22 a factor of 396?
True
Does 44 divide 1012?
True
Is 11704 a multiple of 88?
True
Is 8 a factor of 14688?
True
Does 3 divide 894?
True
Does 12 divide 12410?
False
Does 32 divide 725?
False
Is 28 a factor of 11270?
False
Is 157 a multiple of 5?
False
Is 775 a multiple of 18?
False
Is 5 a factor of 678?
False
Does 6 divide 3665?
False
Does 129 divide 36754?
False
Is 63 a multiple of 21?
True
Does 16 divide 1791?
False
Does 16 divide 420?
False
Is 42 a factor of 3234?
True
Is 4669 a multiple of 53?
False
Does 99 divide 675?
False
Is 20 a factor of 5658?
False
Does 191 divide 3690?
False
Is 4776 a multiple of 6?
True
Is 1504 a multiple of 8?
True
Does 9 divide 504?
True
Does 7 divide 1758?
False
Does 43 divide 250?
False
Is 6986 a multiple of 31?
False
Is 21240 a multiple of 70?
False
Is 13 a factor of 2037?
False
Is 160530 a multiple of 15?
True
Is 32 a factor of 56106?
False
Is 17240 a multiple of 5?
True
Is 13 a factor of 2145?
True
Is 8769 a multiple of 111?
True
Is 15617 a multiple of 22?
False
Does 13 divide 434?
False
Is 54493 a multiple of 204?
False
Is 762 a multiple of 39?
False
Is 6593 a multiple of 23?
False
Is 15078 a multiple of 14?
True
Is 880 a multiple of 3?
False
Is 25 a factor of 629?
False
Does 147 divide 23226?
True
Does 50 divide 13107?
False
Is 27 a factor of 42012?
True
Does 115 divide 21275?
True
Is 15 a factor of 13965?
True
Is 247 a factor of 65026?
False
Is 520 a multiple of 40?
True
Does 10 divide 55?
False
Does 2 divide 424?
True
Is 951 a multiple of 11?
False
Is 26 a factor of 4836?
True
Is 6 a factor of 2923?
False
Does 39 divide 411?
False
Does 3 divide 160?
False
Is 38 a factor of 2930?
False
Is 1113 a multiple of 7?
True
Is 47 a multiple of 9?
False
Is 116 a factor of 27164?
False
Does 85 divide 2635?
True
Does 82 divide 902?
True
Is 9 a factor of 370?
False
Does 58 divide 28045?
False
Is 26 a factor of 7238?
False
Is 6 a factor of 13?
False
Is 24 a factor of 684?
False
Is 27 a factor of 3078?
True
Does 21 divide 14759?
False
Is 13 a factor of 6071?
True
Is 21605 a multiple of 149?
True
Is 77 a factor of 10318?
True
Does 25 divide 17009?
False
Does 47 divide 50935?
False
Does 15 divide 9420?
True
Is 15 a factor of 190270?
False
Is 26 a factor of 2756?
True
Does 113 divide 1943?
False
Is 19 a factor of 1045?
True
Does 8 divide 60704?
True
Does 85 divide 9095?
True
Does 43 divide 1376?
True
Is 1254 a multiple of 40?
False
Does 30 divide 1860?
True
Does 46 divide 1777?
False
Does 14 divide 1554?
True
Is 11 a multiple of 11?
True
Does 84 divide 37064?
False
Is 61 even?
False
Does 16 divide 14985?
False
Does 116 divide 42627?
False
Is 6829 a multiple of 4?
False
Is 222 even?
True
Is 1242 a multiple of 54?
True
Does 34 divide 1360?
True
Is 25 a factor of 4841?
False
Is 1243 a multiple of 62?
False
Does 43 divide 18060?
True
Is 7142 a multiple of 6?
False
Does 48 divide 430?
False
Is 4 a factor of 6330?
False
Is 51 a factor of 4947?
True
Does 63 divide 4834?
False
Is 10105 a multiple of 235?
True
Does 8 divide 379?
False
Is 54 a factor of 10152?
True
Is 13 a factor of 65?
True
Is 1006 a multiple of 12?
False
Is 101 a factor of 5457?
False
Does 213 divide 43658?
False
Is 2710 a multiple of 102?
False
Is 3248 a multiple of 8?
True
Is 44 a factor of 605?
False
Is 198 a multiple of 22?
True
Is 2451 a multiple of 57?
True
Is 6 a factor of 1636?
False
Does 130 divide 7633?
False
Does 5 divide 47427?
False
Is 883 a multiple of 18?
False
Is 12264 a multiple of 14?
True
Does 31 divide 732?
False
Is 7 a factor of 29342?
False
Is 336 a multiple of 24?
True
Is 2745 a multiple of 46?
False
Is 4116 a multiple of 12?
True
Is 4950 a multiple of 25?
True
Is 3870 a multiple of 18?
True
Does 213 divide 34341?
False
Is 137 a factor of 9727?
True
Does 9 divide 3439?
False
Is 17 a factor of 835?
False
Does 4 divide 812?
True
Is 1482 a multiple of 37?
False
Is 3913 a multiple of 43?
True
Is 390 a multiple of 13?
True
Is 809 a multiple of 13?
False
Does 159 divide 27825?
True
Is 20 a factor of 53?
False
Is 5972 a multiple of 35?
False
Is 8 a factor of 977?
False
Does 238 divide 35224?
True
Is 710 a multiple of 33?
False
Does 8 divide 368?
True
Is 7 a factor of 2381?
False
Does 107 divide 102613?
True
Is 47658 a multiple of 47?
True
Does 74 divide 370?
True
Is 798 a multiple of 85?
False
Is 11 a factor of 121?
True
Is 12174 a multiple of 51?
False
Is 15302 a multiple of 29?
False
Is 1001 a multiple of 25?
False
Is 18 a factor of 918?
True
Does 175 divide 8575?
True
Is 11342 a multiple of 56?
False
Is 5 a factor of 17713?
False
Is 32 a factor of 6048?
True
Does 33 divide 51282?
True
Is 12 a factor of 3276?
True
Is 1625 a multiple of 25?
True
Is 8 a factor of 208?
True
Is 40 a factor of 31040?
True
Is 5 a factor of 525?
True
Is 18 a factor of 6012?
True
Does 5 divide 4202?
False
Is 2736 a multiple of 4?
True
Is 11340 a multiple of 10?
True
Does 26 divide 452?
False
Does 188 divide 46857?
False
Is 189 a multiple of 14?
False
Does 140 divide 13976?
False
Is 748 a multiple of 4?
True
Is 232 a multiple of 15?
False
Does 21 divide 441?
True
Is 107334 a multiple of 9?
True
Is 1846 a multiple of 71?
True
Does 33 divide 540?
False
Does 42 divide 590?
False
Is 552 a multiple of 23?
True
Does 7 divide 20?
False
Does 12 divide 480?
True
Is 46 a factor of 5152?
True
Is 1550 a multiple of 25?
True
Does 7 divide 240?
False
Is 4 a factor of 165?
False
Is 26895 a multiple of 83?
False
Does 4 divide 827?
False
Does 3 divide 162?
True
Is 408 a multiple of 28?
False
Is 585 a multiple of 13?
True
Does 9 divide 1175?
False
I
|
{
"pile_set_name": "DM Mathematics"
}
|
) = -47*f + 1. Let t(p) = 4*n(p) - 9*w(p). Let d(r) = 4*r - 4. Determine 3*d(a) - 2*t(a).
6*a - 2
Let q(x) = x**3 + x - 1. Let l(z) = 7*z**3 + 5*z - 2. Let g = -375 - -627. Let i be g/(-228) - 2/(-19). What is i*l(h) + 5*q(h)?
-2*h**3 - 3
Let i(q) = 9*q - 45. Let n(v) be the third derivative of -v**3/6 + 3*v**2 - 33*v. Give i(p) - 45*n(p).
9*p
Let d(f) = 2*f**2. Let k(o) = 92*o**2 - 11*o + 2. What is 5*d(g) - k(g)?
-82*g**2 + 11*g - 2
Let o(b) = -52*b**3 + 16*b**2 - 4*b + 16. Let k(r) = 35*r**3 - 11*r**2 + 3*r - 11. Let a(h) = 7*k(h) + 5*o(h). Let n(m) = m**2 + m + 1. Determine a(g) - 3*n(g).
-15*g**3 - 2*g
Let w(d) = 13*d**3 + 14*d**2 + 7*d + 48. Let t(s) = -27*s**3 - 30*s**2 - 15*s - 98. Give 6*t(j) + 13*w(j).
7*j**3 + 2*j**2 + j + 36
Let q(y) = 8*y + 1. Let m(f) = 11*f - 9. Let j(o) = -m(o) + 2*q(o). Let x(h) = -h + 1. Give -j(l) - 2*x(l).
-3*l - 13
Let o(i) = 18*i**2 - 654*i + 4. Let z(n) = 14*n**2 - 657*n + 3. Give 3*o(y) - 4*z(y).
-2*y**2 + 666*y
Let g(r) = 14*r. Let q(x) = -15*x. Let y = 328 - 332. Determine y*q(k) - 5*g(k).
-10*k
Let y(b) be the first derivative of -2*b**3/3 + 5*b + 1. Let u(h) = 3 - 3 + 14 + 2*h**2 - 7*h**2. Let g be (-2)/(-6)*(-66 + 54). What is g*u(m) + 11*y(m)?
-2*m**2 - 1
Let l(v) = -7*v - 4. Let r(w) = 73*w - 296. Let n(j) = 25*j - 105. Let z(t) = 17*n(t) - 6*r(t). Determine 5*l(f) - 2*z(f).
-9*f - 2
Let p(o) = -o**2 + 5*o + 4. Let q(u) = 3*u**2 - 14*u - 11. Let y = -711 - -717. What is y*q(z) + 17*p(z)?
z**2 + z + 2
Let q(n) = -251*n - 139. Let v(l) = 252*l + 162. Calculate -7*q(w) - 6*v(w).
245*w + 1
Let j(m) = -50*m**3 - 20*m + 20. Let n = 460 - 463. Let a(t) = 7*t**3 + 3*t - 3. Give n*j(h) - 20*a(h).
10*h**3
Let r(v) = -15*v - 87. Let i(j) = 16*j + 51. Calculate -7*i(z) - 6*r(z).
-22*z + 165
Let k(c) = -400 + 798 - 397. Suppose -17*s + 80 - 29 = 0. Let y(n) = -2*n**3 + 4*n**2 - 2*n + 3. Calculate s*k(b) - y(b).
2*b**3 - 4*b**2 + 2*b
Let o(c) = -10*c + 4. Let i(v) = 5*v - 2. Let w(n) = -n**3 + 42*n - 39. Let s be w(6). What is s*o(z) - 5*i(z)?
5*z - 2
Let v(p) = 1. Suppose 4*s - 5*d = -15, 4*d = 9*d + 5. Let t(a) = 25*a - 20. Let h(q) = 12*q - 9. Let z(w) = s*h(w) + 2*t(w). What is 5*v(b) - z(b)?
10*b
Let y(x) = 9*x. Let t(d) = 1418*d**2 + 11*d + 3. Let w be t(3). Let z(a) = 4*a + 12798 - w. Give -2*y(c) + 5*z(c).
2*c
Let r(n) = 7*n**3 - 51*n**2 + 2*n + 10. Let k(c) = -6*c**3 + 50*c**2 - c - 8. Give 5*k(p) + 4*r(p).
-2*p**3 + 46*p**2 + 3*p
Let j(l) = -30*l + 90. Let r(u) = -1. Let b = 4073 - 4072. Give b*j(q) + 90*r(q).
-30*q
Let o(b) = -b**3 + b**2 + 9*b + 10. Let i be o(4). Suppose 64*a - 70*a - 6 = 0. Let s(h) = -1. Let m(u) = u**3 + 2*u**2 + 2. What is a*m(r) + i*s(r)?
-r**3 - 2*r**2
Let d(t) = -502*t - 213. Let n(q) = 169*q + 74. What is -6*d(p) - 17*n(p)?
139*p + 20
Let d(c) = -7*c + 7. Let f be (-6)/((-2)/4*3). Let x(s) = -f - 2*s - 2*s + 8. Let u = 694 + -700. Calculate u*d(m) + 11*x(m).
-2*m + 2
Let a(p) = -8*p**3 - p**2 - 7*p + 396. Let r(o) = -15*o**3 - 2*o**2 - 13*o + 790. What is -9*a(b) + 5*r(b)?
-3*b**3 - b**2 - 2*b + 386
Let z(l) = 12253*l - 117. Let c(f) = -18379*f + 187. What is 5*c(s) + 8*z(s)?
6129*s - 1
Let g(n) = -6*n**2 + 60*n + 665. Let t(i) = -2*i**2 + 17*i + 222. Give -2*g(x) + 7*t(x).
-2*x**2 - x + 224
Let v(i) = -581*i**2 + 132*i + 12. Let u(y) = -393918*y**2 + 89474*y + 8134. Determine 6*u(s) - 4067*v(s).
-581*s**2
Let w(y) = -5*y + 2. Let g be (2/(-3))/((-8)/12)*(395 - 396). Let v(r) = r - 7. Let n(d) = 1. Let x(l) = 6*n(l) + v(l). What is g*w(b) - 3*x(b)?
2*b + 1
Let v(q) = -16*q**3 + 5*q**2 - q - 9. Let m(d) = -376*d**3 - 15*d**2 + 833*d**3 - 417*d**3 + 2*d + 22 + 3*d**2. Determine 5*m(y) + 12*v(y).
8*y**3 - 2*y + 2
Let d(b) = 474*b**3 + 17*b**2 - 26*b. Let s(c) = 158*c**3 + 6*c**2 - 10*c. Calculate 3*d(t) - 8*s(t).
158*t**3 + 3*t**2 + 2*t
Let i(c) = 335*c - 34. Let o(f) = 155*f - 17. What is 4*i(r) - 9*o(r)?
-55*r + 17
Let p(n) = 7*n**2 - 9*n + 5. Suppose -3*d = -0 + 15. Let k(w) = 10*w**2 - 13*w + 7. Suppose -a + 17 = 9*x - 57, -5*x - 4*a = -79. What is d*k(f) + x*p(f)?
-f**2 + 2*f
Let z(a) = 1376 + 3*a**2 - 2758 + 1381 + 6*a. Let k(x) = -10*x**2 - 18*x + 3. Give 2*k(y) + 7*z(y).
y**2 + 6*y - 1
Let h(m) be the third derivative of -m**6/8 + m**5/60 - m**4/8 + 36*m**2 - m - 2. Let g(x) = -7*x**3 - x. What is 5*g(a) - 2*h(a)?
-5*a**3 - 2*a**2 + a
Let n(b) = 1819*b**3 + 6*b**2 + 12*b - 24. Let d(w) = -552975*w**3 - 1825*w**2 - 3650*w + 7300. Determine 6*d(k) + 1825*n(k).
1825*k**3
Let g(p) = -6*p**2 - 2*p + 8. Let u(h) = 1. Suppose 4*m - 4 = 0, 6*r - 3*m = 9*r - 6. Calculate r*g(n) - 6*u(n).
-6*n**2 - 2*n + 2
Let k(a) = -9*a**2 - 2941*a - 12. Let s(y) = 2*y**2 + y + 3. Give -k(b) - 4*s(b).
b**2 + 2937*b
Let q(w) = w + 45. Let i(k) = -2*k - 3306. Calculate -i(s) - 4*q(s).
-2*s + 3126
Let o(p) be the third derivative of -p**6/20 + p**4/8 - p**3/2 + 43*p**2 + 2. Let h(x) = 5*x - 4 - 4 - 11*x**3 + 3. Calculate -3*h(a) + 5*o(a).
3*a**3
Let n(i) = -i - 10. Let f be n(-6). Let a(w) = -2*w. Let p(k) = -2*k + 5. Let d be p(-2). Let b(s) = 16*s - 6*s - d*s. What is f*a(t) - 6*b(t)?
2*t
Let s = -348 - -353. Let a(d) = 22*d + 22. Let h(x) = 9 - 4*x + 7*x + 11*x - 5*x. Calculate s*a(r) - 12*h(r).
2*r + 2
Let l(j) = j**3 - 3*j**2 + 39*j - 3. Let h(d) = d**2. Calculate -3*h(t) - l(t).
-t**3 - 39*t + 3
Let a(g) = 0*g - g + 2*g. Let i(s) be the second derivative of 0*s**2 - s**3 + 103*s + 0 - 1/12*s**4. Calculate 6*a(q) + i(q).
-q**2
Let i(c) = c + 4. Let h be (-9)/(-36)*-2*14. Let s(z) = -15*z - 5. Let m(f) = -34*f - 8. Let x(j) = h*s(j) + 3*m(j). Determine -11*i(t) + 4*x(t).
t
Let y(k) be the first derivative of 12*k**2 + 9*k + 883. Let o(w) = 8*w + 3. Determine 11*o(n) - 4*y(n).
-8*n - 3
Let t(r) = -5*r**2 - 2*r - 3. Let s(m) = -6*m**2 - 2*m - 3. Suppose 5*l = -2*g - 11, -g = 2*g + l + 10. What is g*s(f) + 4*t(f)?
-2*f**2 - 2*f - 3
Let n(j) be the third derivative of -j**3/6 - 3*j**2 - 256*j. Let a(b) = 2*b - 4. Determine a(k) + 8*n(k).
2*k - 12
Let w(k) = 9*k - 3. Let d = 2 - -1. Let p(a) = -145*a - 17396. Let r be p(-120). Let f(h) = -8*h + 4. Determine d*f(y) + r*w(y).
12*y
Let j(u) = -2*u + 2887. Let n(i) = -8. What is -j(h) - 2*n(h)?
2*h - 2871
Let j(s) be the first derivative of 3*s**4/2 - 4*s**3/3 + 2*s + 7665. Let o(n) = -n**3 - n**2 + 1. Calculate -j(c) + 3*o(c).
-9*c**3 + c**2 + 1
Let r(a) = -16 - 22*a + 21*a + 17. Let i(n) = 105 + 95 - 198 - 2*n. What is 2*i(y) - 6*r(y)?
2*y - 2
Let a(k) = 87*k**3 - 105*k**2 - 22*k - 22. Let h(x) = -65*x**3 + 79*x**2 + 16*x + 16. Calculate -8*a(f) - 11*h(f).
19*f**3 - 29*f**2
Let z(k) = -379437*k**2 - 474*k + 474. Let l(n) = 3994*n**2 + 5*n - 5. Give 474*l(o) + 5*z(o).
-4029*o**2
Let b(g) = 7*g**3 + 5*g**2 - 5. Let l(i) be the second derivative of -1/5*i**5 - 5 + i**2 + 0*i**3 - 1/6*i**4 + 2*i. Calculate 2*b(u) + 5*l(u).
-6*u**3
Let k = 2025 - 2023. Let b(r) be the first derivative of r**3 + 22 - 7/4*r**4 + 0*r**k - 3*r. Let y(f) = 34*f**3 - 14*f**2 + 14. Calculate -14*b(d) - 3*y(d).
-4*d**3
Suppose z - 15 = -12. Let d(u) = -z + 14 - 9. Let q(t) = -6*t - 7. Let p(n) = 7*n + 7. Let a(o) = 5*p(o) + 6*q(o). Calculate -4*a(b) - 14*d(b).
4*b
Let j(c) = 7*c**2 + 2. Let m(s) = -209*s + 1050. Let v be m(5). Let y(a) = 14*a**2 + 5. Calculate v*j(l) - 2*y(l).
7*l**2
Let r(a) = 2*a**3 - 16*a**2 - 141*a + 8. Let d(z) = -5*z**3 + 47*z**2 + 425*z - 22. What is -4*d(t) - 11*r(t)?
-2*t**3 - 12*t**2 - 149*t
Let x(y) = 10*y**3 + 5*y**2 + 8*y - 47. Let l(g) = -2*g**3 - g**2 - g + 9. Give 11*l(q) + 2*x(q).
-2*q**3 - q**2 + 5*q + 5
Let c(v) = -v - 3. Let q(y) be the third derivative of 0 + y**2 - 18*y + 1/24*y**4 + 0*y**3. Determine -c(s) - 3*q(s).
-2*s + 3
Suppose 4*y = 3*y + 4*c + 105, 4*c + 396 = 4*y. Let j = 98 - y. Let m(v) = v**2 - 1. Let q(n) = 6*n**2 + n - 5. What is j*q(r) - 5*m(r)?
r**2 + r
Let y(z) = -9*z**2 - 13*z - 1. Let p be 14 - -7*(-171)/133. Let f(b) = 4*b**2 + 6*b + 1. Give p*f(w) + 2*y(w).
2*w**2 + 4*w + 3
Let b(y) = 24*y + 22. Let d(i) = 8*i + 7. Let k(p) = 24*p**2 - 550*p - 51. Let o be k(23). Give o*b(j) + 16*d(j).
8*j + 2
Let h(c) = 11*c**3 + 5*c**2 + 6*c. Let b(r) = 10*r**3 + 4*r**2 + 5*r. Let t(m) = -189*m - 3965. Let w be t(-21). Determine w*h(x) - 5*b(x).
-6*x**3 - x
Let r(a) = -6*a + 28. Let n(l) = -4*l + 19. Let k(w) = -4*n(w) + 3*r(w).
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{
"pile_set_name": "DM Mathematics"
}
|
1. Let h(y) = 5*y - 14. Let b(k) = -h(k) + 4*q(k). Let z be b(6). Suppose -4*m + 104 = -2*s, 8*m + z*s = 3*m + 143. Is m a multiple of 12?
False
Let c be -7 + -448 - -1 - -3. Let s = 753 + c. Is s a multiple of 32?
False
Let b(c) = -c**3 + 4*c**2 - 11*c + 44. Let a(r) = 3*r**3 - 13*r**2 + 33*r - 131. Let u(j) = 4*a(j) + 11*b(j). Does 16 divide u(8)?
True
Let o be -95 - (-3 + -3)/(-2). Suppose -600 - 180 = 10*b. Let j = b - o. Does 5 divide j?
True
Let t = 1874 + 7765. Does 21 divide t?
True
Let a be (2 - -2) + (-9)/((-27)/12). Suppose -7809 = a*i - 27*i. Is i a multiple of 22?
False
Let w(a) = 15*a + 17. Let i be w(6). Suppose 73 = -2*g - i. Let r = 156 + g. Does 33 divide r?
True
Let j(r) = 2992*r**2 - 223*r + 221. Is 19 a factor of j(1)?
False
Let x(t) = t + 2. Let k be x(-2). Suppose k*a = p - a - 9, 2*p - 4*a - 20 = 0. Does 6 divide 22/p - 2 - (-133)/4?
False
Let l = 37702 - 10906. Does 13 divide l?
False
Suppose 0 = -456*l + 464*l + 4144. Let i = l - -599. Is 27 a factor of i?
True
Let v = 71 - 68. Let l(i) = -i**2 + 1. Let q(t) = 3*t**2 + 7*t - 25. Let z(f) = -4*l(f) - q(f). Does 9 divide z(v)?
True
Let c be 176/84 + (-32)/336. Does 13 divide (-1 + c + -20)/((-11)/176)?
False
Suppose 541 = 4*t - 715. Let q(s) = -22*s - 10. Let m be q(9). Let n = t + m. Does 11 divide n?
False
Suppose -x - 81*x - 25*x + 107214 = 0. Does 2 divide x?
True
Suppose -134*g = -5*y - 137*g + 721, -4*y - 5*g + 595 = 0. Is 4 a factor of y?
True
Let l = 5807 - 2692. Suppose 34*g = 41*g - l. Is 23 a factor of g?
False
Is (-1)/13 + 81942/39 a multiple of 11?
True
Suppose -12*h + 33 = -9*h. Let s(w) = 5*w**3 + 51*w**2 - 24*w + 49. Let b(d) = d**3 + 10*d**2 - 5*d + 10. Let v(o) = h*b(o) - 2*s(o). Does 22 divide v(-7)?
True
Suppose 3*w - 4 = -h, -h + 2*h + 2 = 0. Let l(o) = 27*o + 4. Is 2 a factor of l(w)?
True
Let x(r) = 15793*r + 229. Is x(2) a multiple of 315?
True
Let q = -31 + 28. Let g be ((-27)/(-3))/q*(-376)/3. Suppose 0 = 12*n - 548 - g. Is 11 a factor of n?
True
Let v(o) = -3*o**3 + 144*o**2 + 99*o + 167. Let z(c) = c**3 - 48*c**2 - 33*c - 56. Let x(k) = 2*v(k) + 7*z(k). Does 33 divide x(49)?
True
Let u(b) = -10*b - 48. Let t be u(-6). Let z(l) = l**2 + 8*l - 7. Is 46 a factor of z(t)?
False
Let b(p) = 20*p**2 - 169*p - 62. Is 40 a factor of b(10)?
False
Let y = -269 + 384. Suppose 0 = 12*g - 749 - y. Is 8 a factor of g?
True
Let i(s) = 5*s**2 + s + 15. Let l(a) = -17*a**2 - 6*a - 46. Let o(t) = 7*i(t) + 2*l(t). Is o(-11) even?
False
Suppose 26*a = 200255 - 42799. Is 82 a factor of a?
False
Let f be -1 + (-47)/(-7) + 40/140. Is (-434)/21*f/4*-1 a multiple of 20?
False
Suppose 2*v + 5*p - 11 = 0, -8 = 4*v - 6*v - 2*p. Suppose 3*r - v*f + 5 + 13 = 0, r = -f + 2. Is (316/(-20) - -3)*15/r a multiple of 8?
True
Let r(h) = -588*h - 443. Does 14 divide r(-5)?
False
Let m(c) = -c**3 - 7*c**2 + 4*c + 53. Let i be m(-6). Is 54 a factor of 536 + (3 - 0) + (-7)/i?
True
Let g = -199 + 651. Suppose -448*m = -g*m + 2384. Is 13 a factor of m?
False
Suppose 7*t - 222864 = -23819. Does 30 divide t?
False
Suppose 55*p - 56*p + 13584 = 2*q, 4*q - 5*p - 27196 = 0. Is q a multiple of 76?
False
Let f(p) = -124*p - 362. Is 22 a factor of f(-54)?
False
Suppose -6 = 2*o + 4*z, 5 + 16 = 5*o - 2*z. Suppose 5*h + n - 2906 = 0, o*n = -17 + 5. Does 23 divide h?
False
Let u be 6/(-14) - (-7)/((-98)/(-1350)). Suppose -y = 0, -2*w = -2*y + 424 - u. Let p = w - -299. Does 15 divide p?
True
Suppose 2*a = -2*w - 10, 4*w + 4 = 2*a - 4. Does 16 divide (-14 - 25)*(-12)/(0 - a)?
False
Let o(k) = 301*k + 807. Is o(11) a multiple of 17?
False
Suppose -5*k = 42*z - 40*z - 21310, -2*k = 2*z - 21322. Is z a multiple of 135?
True
Is 7624 - 0*11/44 a multiple of 92?
False
Let n be (-89)/4 - 5/(-20). Let b be n*34*(-5)/10. Suppose 4*x + 4*o = 452, -x - b = -4*x + 4*o. Is x a multiple of 23?
False
Let d(i) = -4*i - 64. Let b be d(-11). Is b/(-90) + 939/27 a multiple of 7?
True
Let u = 23 - 29. Let a be 5 + u - (-3 - 2). Suppose -12 - 76 = -a*h. Is h a multiple of 3?
False
Suppose 3*n + 216 = 5*n. Suppose -15*k + n = -14*k. Let g = 162 - k. Is g a multiple of 9?
True
Let t(m) = m**3 + 8*m**2 - 19*m + 13. Let o be t(-10). Suppose 0*q + 104 = 5*x + 4*q, -q = o*x - 61. Is 5 a factor of x?
True
Let u = -752 - -8320. Is u a multiple of 44?
True
Is 118 a factor of 118*(-13)/52*-106?
False
Let n = 286 + -466. Does 8 divide (6 + n/42)*(-42)/(-3)?
True
Let s(f) be the third derivative of -29/6*f**3 + 1/4*f**5 + 28 + 2*f**2 + 0*f - 1/120*f**6 + 5/8*f**4. Is s(15) a multiple of 14?
True
Suppose 0 = -4*g + 16, -13*i - 3*g = -11*i - 13374. Is i a multiple of 9?
False
Suppose 0 = -p - 3*x + 344, -5*p + x + 1720 = 5*x. Suppose 28*v + 2250 = -2846. Let r = p + v. Does 11 divide r?
False
Let d be (-4 - (-1 - 3))/5 - 469. Let a = d - -691. Is 6 a factor of a?
True
Let i = 42 + -84. Let l = 42 + i. Suppose 2*u + 3*d - 66 = l, 2*d = 7*d - 10. Is u a multiple of 3?
True
Let w be 43121/26 - (2/4 + -1). Is 22 a factor of w/4 + 3 - 11/(-44)?
True
Suppose 34 - 114 = -16*u. Suppose -g + o + 1601 = 2*g, u*o = g - 543. Is g a multiple of 12?
False
Suppose 0 = -y + 3*f - 5 - 4, 3*f = 4*y + 9. Suppose -5*x - 2*p + 87 = 0, y = x + 3*x + 2*p - 68. Let r = x + -8. Is r a multiple of 2?
False
Let d = 0 + 3. Suppose d*n - 4*l = -6, -2*l = -0*n - 4*n + 2. Suppose -5*r + c + 128 = -3*c, 5*r + n*c = 146. Does 5 divide r?
False
Let h(d) = d**3 - 10*d**2 + 8*d + 9. Let j be h(9). Suppose -10*i + 6*i + 12 = j. Suppose -5*l + u = -u - 804, -i*l = 5*u - 470. Is 32 a factor of l?
True
Suppose 27*z - 177165 - 105399 = -31059. Is 69 a factor of z?
True
Suppose -5083 = -6*n + 14069. Does 12 divide n?
True
Let a be (-25)/5 - (-30)/3. Suppose -a*q = 16 + 29. Let f(c) = 2*c + 51. Is f(q) a multiple of 11?
True
Let n = -383 + 1193. Suppose -2*u + n = -q + 4*q, -u - 3*q = -411. Is u a multiple of 57?
True
Suppose -4*m + 9 = -0*y - y, 3*y = -5*m + 24. Suppose 0 = y*j - 2*j - 288. Suppose 4*t = j - 32. Is 10 a factor of t?
False
Suppose -5*s - 9 - 21 = 0. Let d(y) = -y**3 - 2*y**2 - 15*y - 18. Let t be d(s). Let m = t - 88. Does 24 divide m?
False
Suppose 3*w = -4*x + 16, 9*w - 12 = 7*w - 2*x. Let c(g) = -g + 63. Is c(w) a multiple of 11?
True
Let g(x) = 2*x**3 - 4*x**2 + 20*x - 7. Let i(j) = 3*j**3 - 4*j**2 + 20*j - 7. Let y(m) = -4*g(m) + 3*i(m). Let t be y(-7). Does 43 divide 285 + t - (-42)/14?
False
Let o(w) be the second derivative of 56*w**5/5 - w**4/6 + w**3/3 - 46*w + 2. Is 28 a factor of o(1)?
True
Let d be 4 + 3 + 1 + -2. Let i be d/(-2)*(-2 + 4). Is -28*(-8)/((-32)/i) a multiple of 14?
True
Let k(g) = -582*g**2 + 9*g + 8. Let s be k(-1). Does 10 divide (-2)/(-4) + s/(-2)?
False
Let w(f) = -11*f**2 - 4*f + 22. Let k be w(0). Suppose -4*m + 123 = 371. Let t = k - m. Is t a multiple of 12?
True
Is (8495775/(-120))/(-15) - (3/(-8))/3 a multiple of 20?
True
Let x = 13681 - 6646. Does 47 divide x?
False
Suppose -17*q + 7751 = -5305. Does 22 divide 9/(-2 + 1554/q)?
False
Let k = -9875 - -18821. Is k a multiple of 63?
True
Suppose 45544 = -45*a + 212494. Is 106 a factor of a?
True
Suppose -y + 208980 = -0*y + 17*y. Is 137 a factor of y?
False
Let i(u) = -7*u**2 + 8*u - 11. Let d(k) = -11*k**2 + 12*k - 16. Let t(w) = -w**2 + 1. Let q be t(-3). Let m(c) = q*i(c) + 5*d(c). Is m(10) a multiple of 8?
False
Suppose 3*n + z - 1855 = -175, 1112 = 2*n - 2*z. Is n a multiple of 13?
True
Suppose -21*k - 7131 - 5553 = 0. Let s = k + 1684. Is s a multiple of 30?
True
Suppose 0 = -5*m - 4*z + 54170, -876*m = -875*m + 3*z - 10845. Is 10 a factor of m?
True
Suppose -2*x = 2*c - 160, -3*c + 0*c = -12. Suppose x = -3*f - 89. Let s = f + 73. Is s a multiple of 18?
True
Let s = 3276 + -1129. Is s a multiple of 19?
True
Let z(c) = -3*c**2 - 11*c - 8. Let o be z(-2). Suppose -h + 12 = -5*n, h + n - 12 = 2*n. Suppose -h*x + o*x + 2210 = 0. Is x a multiple of 13?
True
Suppose 2*j - 185486 = -5*t, 129383 = 3*t - 5*j + 18048. Does 106 divide t?
True
Let y(f) be the second derivative of 5*f**3/6 - 5*f**2/2 + f. Let d(k) = 3*k**2 + 7*k + 8. Let r be d(-1). Is 5 a factor of y(r)?
True
Let o be (-2)/(((-15)/6)/5). Suppose -2*d - 30 = -2*f, -13 - 5 = -2*f - o*d. Suppose f*h - 170 = 8*h. Is h a multiple of 10?
False
Let a = -102 + 88. Let r be 90/21 + (-3 - 38/a). Suppose r*l - l + 25
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{
"pile_set_name": "DM Mathematics"
}
|
) + (-6270)/2280. Determine r*z(v) - 7*b(v).
8*v - 2
Let p(f) = -f**3 - 2*f**2 - 7*f + 3. Let n(s) = -5*s**2 + 5 + 6 - 20*s + 44*s**3 - 23*s**3 - 24*s**3 - 3. Give 4*n(l) - 11*p(l).
-l**3 + 2*l**2 - 3*l - 1
Suppose -162*t + 46 = -116. Let q(w) = -w - 1. Let f(c) = -14*c + 8. Calculate t*f(i) + 6*q(i).
-20*i + 2
Let f(q) = -2576*q**2 + 207. Let p(u) be the third derivative of -5*u**5/12 + u**3/3 - 537*u**2 + 2*u. Determine 2*f(m) - 207*p(m).
23*m**2
Let g(l) = -6*l**3 - l**2 - 35*l - 62. Let q(m) = 5*m**3 + 2*m**2 + 35*m + 93. Calculate -3*g(o) - 2*q(o).
8*o**3 - o**2 + 35*o
Let l(s) = 89*s + 58. Let k(o) = 27*o - 1. Determine -3*k(b) + l(b).
8*b + 61
Let z(t) = -58*t**3 + 4*t**2 + 2*t + 31. Let j(y) = 57*y**3 - 3*y**2 - 2*y - 25. What is 5*j(n) + 4*z(n)?
53*n**3 + n**2 - 2*n - 1
Let n(c) = -c**2 - c. Let q(r) = 7*r**3 + 21*r**2 + 21*r. Let f(z) = -z**2 - 25*z + 60. Let v be f(-28). Let i = 25 + v. What is i*q(h) + 21*n(h)?
7*h**3
Let o(l) = -4*l + 1020. Let b(j) = -3*j + 1022. Give -5*b(x) + 4*o(x).
-x - 1030
Let p(b) = b**2. Let m(j) = -3*j + 503*j**2 - 1051*j**2 + 3*j + 510*j**2. What is m(a) + 76*p(a)?
38*a**2
Let y(q) = -q - 2. Let l(w) be the third derivative of -w**4/24 + w**3/6 - 1528*w**2. Give -2*l(j) + y(j).
j - 4
Suppose 482 + 73 + 411 = -138*t. Let z(v) = 4*v**3 + 2*v**2 + 2*v + 3. Let l(s) = 12*s**3 + 6*s**2 + 7*s + 9. What is t*z(q) + 2*l(q)?
-4*q**3 - 2*q**2 - 3
Let w(l) = 11*l + 581. Let c(m) = -24*m - 1164. Calculate 6*c(q) + 13*w(q).
-q + 569
Let h(q) = -11*q - 1. Suppose 11*w - 22*w - 10 - 12 = 0. Let m(x) = -43*x - 4. Determine w*m(j) + 9*h(j).
-13*j - 1
Let x(o) = -8*o**3 + 66*o**2 + o - 637. Let j(l) = 7*l**3 - 44*l**2 + 636. Give -3*j(m) - 2*x(m).
-5*m**3 - 2*m - 634
Let t(g) = -12*g**2 + 12. Let i(c) = -47*c**2 + c + 45. Let d(s) = -6*i(s) + 22*t(s). Let z(b) = -18*b**2 + 5*b + 5. Calculate -5*d(m) - 6*z(m).
18*m**2
Let q(i) = -153*i**3 + 45*i**2 + 45*i + 45. Let z(k) = -2 - 22*k + 7*k**3 + 49*k - 9*k - 2*k**2 - 20*k. What is -4*q(o) - 90*z(o)?
-18*o**3
Let z(q) = 386*q - 39. Let i(w) = 383*w - 35. Determine -8*i(b) + 7*z(b).
-362*b + 7
Let b(j) = -32*j**2 + 6*j + 10. Let o(d) = 43*d**2 - 8*d - 14. Determine 9*b(m) + 7*o(m).
13*m**2 - 2*m - 8
Let s(t) = -2 + t + 2. Let o(g) = g - 1. Let c(i) = i**2 - i - 14. Let v be c(5). Suppose 19*a = -v - 13. Calculate a*o(y) + 4*s(y).
3*y + 1
Let r(f) = -353*f - 9. Let l(m) = 193*m + 5. Let h(k) = 11*l(k) + 6*r(k). Let i(b) = -6*b - 1. Determine -3*h(q) - 4*i(q).
9*q + 1
Suppose -479*r + 484*r = 3*i + 22, 3*r - 18 = 3*i. Let d(x) = -5*x + 3. Let q(u) = -11*u + 7. Let m(k) = -6*k + 1. Let n be m(1). What is n*d(j) + r*q(j)?
3*j - 1
Let g(w) = -441*w**2 - 54*w - 8. Let o(t) = t**2 + 10*t + 1. Calculate -g(y) - 6*o(y).
435*y**2 - 6*y + 2
Let a(o) = 1868*o**3 + 3*o + 1. Let c(p) = 3733*p**3 + 5*p + 1. Calculate 5*a(d) - 3*c(d).
-1859*d**3 + 2
Let k(m) = 4*m - 6. Suppose 14*c = 12*c - 6. Let u(r) = 2*r**2 - 3*r + 2. Let q(b) = -b**2 + 1. Let w(l) = 3*q(l) + u(l). What is c*k(p) - 4*w(p)?
4*p**2 - 2
Let u(c) = -c**3 + c**2 + 10*c - 19. Let d be u(2). Let g(m) = -11*m**3 - 13*m**2 - 9*m - 4. Let a(p) = -5*p**3 - 6*p**2 - 4*p - 2. Give d*g(i) + 7*a(i).
-2*i**3 - 3*i**2 - i - 2
Let g = -3995 + 3994. Let x(k) = -2. Let u(s) = 5. Let b(z) = -3*u(z) - 7*x(z). Let m(q) = 2*q - 7 + 1 + 1. Calculate g*m(y) + 4*b(y).
-2*y + 1
Let z be ((10 - 9) + -3)/((-6)/(-21)). Let c(m) = 9*m**3 + 7*m**2 + 16*m - 10. Let v(f) = -6*f**3 - 5*f**2 - 11*f + 7. Give z*v(o) - 5*c(o).
-3*o**3 - 3*o + 1
Let r(c) = 3*c**3 + c + 1. Let t(q) = -q**3 - 1. Let m(i) = -i**2 + 101*i - 1291. Let n be m(15). Determine n*r(o) - 6*t(o).
3*o**3 - o + 5
Let d(q) = -3*q + 12. Let g(t) = -t + 3. Let l(n) = n**2 + 1056*n + 2112. Let j be l(-2). Determine j*d(p) - 15*g(p).
3*p + 3
Let u(v) = 4*v - 2. Let b = -131 + 134. Suppose -3*m + 30 = b*m. Let c(s) = -s - 1. Give m*c(r) + u(r).
-r - 7
Let j(p) = p**2 - 19*p - 1. Let c(l) = -2736*l**2 + 47652*l + 2508. Calculate -c(g) - 2508*j(g).
228*g**2
Let h(u) = 21*u**3 - 10*u**2 - 6*u + 22. Let w(a) = 40*a**3 - 19*a**2 - 10*a + 30. What is -5*h(o) + 3*w(o)?
15*o**3 - 7*o**2 - 20
Let j(z) = 8*z**3 + z**2 + z. Let d(w) = -23720*w**3 - 2372*w**2 - 2372*w. Give -d(c) - 2372*j(c).
4744*c**3
Let x(g) = 2*g + 1. Let a = -375 - -367. Let t(w) = -5*w - 1. Let j(l) = a*x(l) - 3*t(l). Let v(u) = 3*u + 15. Determine -8*j(p) - 3*v(p).
-p - 5
Let b be ((-26)/(-39))/((-4)/30). Let t(p) = p**2. Let o(a) be the first derivative of -1/4*a**4 + 0*a - 4/3*a**3 - a**2 - 4. Determine b*t(c) - o(c).
c**3 - c**2 + 2*c
Let x(h) = -h**3 + 3*h**2 + 1. Let s(y) be the first derivative of -y**4/2 + 2*y**3/3 + y**2/2 + 2*y + 10836. What is 2*s(g) - 3*x(g)?
-g**3 - 5*g**2 + 2*g + 1
Let d(t) = -40*t**3 + 6*t**2 + 6*t + 6. Let j(f) = -f**2 - f - 1. Suppose 50 = -23*i + 27. What is i*d(x) - 6*j(x)?
40*x**3
Let w(l) = -4*l**2 - 6*l + 43. Let n(x) = -5*x**2 - 7*x + 42. Let o = -26463 - -26457. What is o*n(i) + 7*w(i)?
2*i**2 + 49
Let f(g) = -g - 4. Let s(o) = 1. Let p be (-4*(-3)/36)/((-15)/(-90)). Give p*s(a) - f(a).
a + 6
Let y(f) = 13*f**2 + 4*f - 6. Suppose -4*w = 8, -36*r - w - 12 = -34*r. Let j(u) = u**2 + u - 1. Determine r*j(m) + y(m).
8*m**2 - m - 1
Let a(l) = -1. Let t(g) = g + 1. Let n be ((-3)/(-9))/(2/102). Let k = -16 + n. Determine k*t(p) + 5*a(p).
p - 4
Let p(o) = -14*o**3 - 3*o**2 - 30*o - 5. Let h(b) = -15*b**3 - 4*b**2 - 29*b - 5. What is -3*h(g) + 4*p(g)?
-11*g**3 - 33*g - 5
Let s(p) = -12*p**3 + 3*p**2 + 4*p. Let c(h) = 14*h**3 - 3*h**2 - 4*h. Determine -5*c(d) - 6*s(d).
2*d**3 - 3*d**2 - 4*d
Let d(j) be the second derivative of -j**5/20 + j**4/3 + 2*j**2 - j. Suppose 13*p + 12421 = 12460. Let b(q) = q**2 + 1. Calculate p*b(v) - d(v).
v**3 - v**2 - 1
Let f(t) = 5*t**2 + 2*t. Suppose -5*b - 41 = -11. Let l be b/9*36/(-8). Let p(s) = -4*s**2 - l*s**2 - 3*s**2 - 5*s. Determine 5*f(v) + 2*p(v).
5*v**2
Let y(b) = -b**2 + 4*b - 2. Let g(u) be the second derivative of -u**4/6 + 5*u**3/6 - 3*u**2/2 + 5152*u. Give 2*g(k) - 3*y(k).
-k**2 - 2*k
Let d(y) = 2*y + 133 - 116 + 0*y + y + 9*y**2 + 6*y**2. Let h(i) = -5*i**2 - i - 6. Calculate 6*d(a) + 17*h(a).
5*a**2 + a
Let m(t) = 4*t**2 - 9*t + 4. Let b(h) = h**2 + h + 1. Suppose -13*z = 188 - 38 - 85. What is z*b(u) + m(u)?
-u**2 - 14*u - 1
Let a(b) = 2*b + 1. Let v(t) be the first derivative of -t**3/3 - t**2 - 2*t + 5502. Give 6*a(f) + 5*v(f).
-5*f**2 + 2*f - 4
Let l(c) = -668*c + 36. Let u(m) = -36*m - 1. Determine l(w) - 16*u(w).
-92*w + 52
Let r(j) = 215*j**3 + 129*j**2 + 129*j + 258. Let z(g) = -2*g**3 - g**2 - g - 2. What is r(q) + 129*z(q)?
-43*q**3
Let w be 310/3*(-45)/(-75). Let b(d) = -31*d**3 - 3*d**2 + 3. Let a(q) = -651*q**3 - 62*q**2 + 62. Determine w*b(x) - 3*a(x).
31*x**3
Let n(t) = -3*t**3 - 40*t**2 - 2. Let y(x) = -3*x**3 - 38*x**2 - 2. Calculate 5*n(v) - 4*y(v).
-3*v**3 - 48*v**2 - 2
Let z(r) = -3*r + 12*r + 5*r + 35 - 3*r. Let g(h) = h + 4. Let a(p) = -36*g(p) + 4*z(p). Let u(j) = -4 - 5 + 23*j - 6*j. Give 13*a(w) - 6*u(w).
2*w + 2
Let f(z) = -17*z. Let h(q) = 13*q - 4. Let w(v) = -27*v + 9. Let x(j) = 9*h(j) + 4*w(j). Suppose 0 = -2*d + 6*d + 28. Let n = 6 + -10. What is d*x(s) + n*f(s)?
5*s
Let s(h) = -102*h**3 - 2*h**2 - 13*h + 6. Let u(o) = -510*o**3 - 11*o**2 - 71*o + 31. What is -11*s(l) + 2*u(l)?
102*l**3 + l - 4
Let j(w) = 7*w**3 + w**2 - w + 4. Suppose -5*g - 4*o - 37 = 0, -293*o + 2 = -g - 292*o. Let l(u) = -13*u**3 - 2*u**2 + 3*u - 7. What is g*j(i) - 3*l(i)?
4*i**3 + i**2 - 4*i + 1
Let i(m) = 3*m**3 - 4*m**2 + 4*m + 1. Let l(f) = 2*f**3 - 3*f**2 + 3*f. Let u = -12 + 28. Let k = 14 + u. Let q = k + -27. Calculate q*i(w) - 4*l(w).
w**3 + 3
Let v(o) = -17*o**2 + 9*o - 2. Let p(w) = 8*w**2 - 4*w + 1. Let f be ((-118)/(-4))/((-18)/(-72)). Let k = f + -124. What is k*v(r) - 14*p(r)?
-10*r**2 + 2*r - 2
Let c(t) = t**3 + 3*t**2 + 3*t - 1. Let w(p) = -3*p**3 - 13*p**2 - 15*p + 13. What is 5*c(k) + w(k)?
2*k**3 + 2*k**2 + 8
Let x(f) = -13*f**3 + 24*f**2 - 5*f - 5643. Let t(p) = -8*p**3 + 15*p**2 - 3*p - 3763. Determine 8*t(g) - 5*x(g).
g**3 + g - 1889
Let r(u) = -2*u**2 + 8*u + 2. Let p(j) = -7*j**2 - 5263*j + 5. What is p(c) - 3*r(c)?
-c**2 - 5287*c - 1
Let p(s) = -7*s**2 - 38*s - 6. Let i(c) = 15*c**2 + 84*c + 14. Let g(k) = -6*i(k) - 13*p(k
|
{
"pile_set_name": "DM Mathematics"
}
|
(r) = 5*r**2 - 74. Let w(c) = 7*c. Determine b(w(q)).
245*q**2 - 74
Let b(f) = -f. Let q(s) = 121*s. What is q(b(d))?
-121*d
Let x(k) = 2*k. Suppose 0*n + 30 = 5*n. Suppose m - n = -1. Let g(l) = -5*l**2 + m*l**2 + 2*l**2. Determine g(x(y)).
8*y**2
Suppose -l = -2 - 2. Let r(c) = -l*c + 2*c + c. Let s(j) = -2*j. What is s(r(h))?
2*h
Let a(p) = p**2 + 40*p. Let x(w) = -26*w. Calculate x(a(f)).
-26*f**2 - 1040*f
Let p(f) = f. Let z(x) = 71*x - 18*x + 30 - 27*x - 25*x. Determine z(p(c)).
c + 30
Let u(v) = 0 + v + 0. Let p(z) = -75*z - z**2 + 75*z. Give p(u(s)).
-s**2
Let t(b) = 2*b**2. Let h(p) be the second derivative of -5*p**4/3 + 5*p. Give t(h(o)).
800*o**4
Let v(g) = 3*g. Let x(q) = -7*q**2 - 91. Determine x(v(d)).
-63*d**2 - 91
Let d(k) = k. Let n(i) = i**2. Let c(s) = -4*s**2. Let b(u) = -c(u) - 2*n(u). Determine b(d(q)).
2*q**2
Let n(t) = 28*t**2 + 1. Let g(z) = -7*z**2. Give g(n(b)).
-5488*b**4 - 392*b**2 - 7
Let w(l) = -l**2. Let z(o) = -1. Let g(p) = -p + 1. Let k(x) = 13*x - 3. Let q(u) = -6*g(u) - k(u). Let s(t) = -q(t) + 3*z(t). Determine s(w(r)).
-7*r**2
Let a(q) be the first derivative of -1 - 1/2*q**2 + 0*q. Let z(h) be the first derivative of h**3/3 + 6. Give z(a(i)).
i**2
Let n(m) = -2*m. Let v(b) be the second derivative of 11*b**6/720 - 7*b**4/12 - 8*b. Let g(z) be the third derivative of v(z). What is g(n(o))?
-22*o
Let p(t) = 5*t**2. Let v(s) be the first derivative of -s**2/2 - 5. Calculate v(p(u)).
-5*u**2
Let p(c) = -2*c - 5. Let k(y) = -y - 2. Let b(r) = -5*k(r) + 2*p(r). Let l(i) = 0*i - 2*i + i. Give b(l(z)).
-z
Let f(o) = -2*o**2 - 10*o + 10. Let d(u) = u - 1. Let i(c) = -10*d(c) - f(c). Let g(b) be the first derivative of -b**3 + 2. Calculate g(i(j)).
-12*j**4
Let q(c) be the first derivative of 2*c**3/3 + 14. Let v(f) = 5*f. Determine v(q(r)).
10*r**2
Let q(w) be the second derivative of w**5/6 - w**2 - 6*w. Let h(n) be the first derivative of q(n). Let s(y) = -2*y**2. Calculate s(h(a)).
-200*a**4
Let j(f) = 3*f**2. Let c(o) = -o**2 + 6. Let h(i) = 5. Let t(d) = 5*c(d) - 6*h(d). What is j(t(x))?
75*x**4
Let y(v) = -v**2 + v - v. Let f(g) be the third derivative of g**4/12 - 8*g**2. Give f(y(c)).
-2*c**2
Let t(z) = -11*z**2 + 9*z**2 + 0*z**2 + 5*z**2. Let f(w) = -3*w**2. Determine f(t(p)).
-27*p**4
Let c(q) = 9*q - 17. Let k(y) be the second derivative of y**3/6 - y**2 - y. Let u(s) = 6*c(s) - 51*k(s). Let j(z) = 2*z**2. Determine j(u(a)).
18*a**2
Let h(m) = 6653*m. Let n(o) = o**2. Give h(n(u)).
6653*u**2
Let l(o) = o**2 + 2*o - 2*o. Let y(x) be the third derivative of 5*x**4/24 + 10*x**2. Calculate y(l(r)).
5*r**2
Let a(p) = -2*p**2. Let i(y) = -9*y - 17. Determine a(i(n)).
-162*n**2 - 612*n - 578
Let x(h) be the first derivative of 0*h**2 + 2/3*h**3 - 1 + 0*h. Let r(v) = -6*v**2. Give r(x(m)).
-24*m**4
Let g(u) = 2*u. Let d(w) = w - 857. Calculate g(d(t)).
2*t - 1714
Let j(s) = -10*s - 2. Let c(a) = -283*a**2. Determine c(j(f)).
-28300*f**2 - 11320*f - 1132
Let b(h) = h. Let w(c) be the first derivative of -2*c**3 + 20. Give b(w(k)).
-6*k**2
Let m(y) = 2*y**2. Let u = 9 + -13. Let c be 0/u*(-1)/2. Let j(q) = -4*q**2 + 0*q**2 + c*q**2. Calculate j(m(d)).
-16*d**4
Let w(j) = -21*j**2 + 3. Let l(y) = 48*y**2. Determine w(l(k)).
-48384*k**4 + 3
Let c(n) = 3*n**2 + n**2 - 2*n**2. Let w(a) = -4*a. Determine w(c(i)).
-8*i**2
Let t(g) = -g + 0*g + 0*g. Let d(k) = -1 - 1 + 2 - 2*k. Give d(t(i)).
2*i
Let p(q) = -10*q + 4. Let b(l) = 9*l - 3. Let r(n) = 4*b(n) + 3*p(n). Let v(h) = 3*h. Determine r(v(f)).
18*f
Let m(f) = 8*f**2. Let z(y) = 7*y**2. Let b(c) = -6*m(c) + 7*z(c). Let x(d) = 2*d**2. What is b(x(l))?
4*l**4
Let c(w) = -4*w**2. Let p(y) = 2*y - 2. Let g(x) = x**2 + 3*x - 3. Let u = -9 + 6. Let r(f) = u*p(f) + 2*g(f). What is r(c(h))?
32*h**4
Let g(r) = 2*r. Let q(c) = 19*c - 72. What is q(g(d))?
38*d - 72
Let d(f) = f + 1. Let z(l) = 2*l**2 - 2*l - 2. Let g(r) = 2*d(r) + z(r). Let p(v) = 8*v. What is p(g(a))?
16*a**2
Let v(x) = -x. Let b(r) be the first derivative of 1 + 2/3*r**3 + 0*r**2 + 0*r. Determine b(v(q)).
2*q**2
Let d(o) = 2*o**2. Let v be (-2)/(-8) - (-9)/12. Let k(f) = 5*f + 6. Let h(q) = q + 1. Let r(u) = v*k(u) - 6*h(u). Determine r(d(i)).
-2*i**2
Let h(y) = -16*y + 2*y + 10*y. Let m(s) = -7*s. Give m(h(w)).
28*w
Let i(s) = -14*s. Let g(u) = u**2 + 71. What is g(i(m))?
196*m**2 + 71
Let t(d) = -d - 15. Let f(y) = 4*y**2. Calculate t(f(z)).
-4*z**2 - 15
Let k(a) = -a**2 - 5*a**2 - 9*a**2 + 12*a**2. Let d(h) = -3*h**2. Calculate k(d(p)).
-27*p**4
Let z(l) be the second derivative of -l**3/6 + l. Suppose 3*c + 2*u = 6 - 0, -3*u + 6 = 3*c. Let w(y) = y - 2*y - 3*y + c*y. Give w(z(k)).
2*k
Let x(r) = -2*r**2. Let f(l) = -4*l**2 + 3 - 6 + 3. Determine f(x(p)).
-16*p**4
Let f(v) = 8*v. Let g(k) = 2*k + 10. Let u(q) = 1. Suppose 0 = d + 5*l - 15, d - 3*l + 35 = 2*l. Let o(b) = d*u(b) + g(b). Determine f(o(t)).
16*t
Let c(i) be the third derivative of -i**5/60 - i**2. Let a(v) be the second derivative of -7*v**4/12 - 107*v. Determine a(c(t)).
-7*t**4
Let y(z) = z**2 - 43. Let u(j) = 7*j**2. Calculate u(y(q)).
7*q**4 - 602*q**2 + 12943
Let q(a) = 7*a**2. Let j(h) = 3*h. What is q(j(t))?
63*t**2
Let v(i) = -6*i**2. Let p(z) = -7*z**2. Let l(q) = -4*p(q) + 5*v(q). Let s(b) = -9*b. Determine s(l(g)).
18*g**2
Let p(a) be the second derivative of a**4/12 - 2*a. Suppose 0*n - u + 6 = n, -2*u = -4*n + 30. Let c(k) = n*k**2 - 5*k**2 + 2*k**2. Determine c(p(y)).
4*y**4
Let n(h) = -4 + 4 - 40*h. Let u(d) = d. Determine n(u(g)).
-40*g
Let l(s) = 4*s**2. Let m = 20 + -28. Let f(a) = -a - 6. Let i be f(m). Let h(c) = 2*c**2 - 5*c**2 + i*c**2. Calculate h(l(o)).
-16*o**4
Let i(k) = -k + 1. Let n(d) = -5*d + 6. Let f(v) = -6*i(v) + n(v). Let b(r) be the third derivative of -r**4/12 + 2*r**2. What is b(f(o))?
-2*o
Let r(d) = -d - 72. Let j(t) = -2*t**2. What is r(j(x))?
2*x**2 - 72
Let x(a) = 6*a**2 - 9*a - 9. Let v(n) = 3*n**2 - 4*n - 4. Let m(o) = -9*v(o) + 4*x(o). Let y(i) = i**2. Determine y(m(u)).
9*u**4
Let f(s) = -2*s + 12*s + 14*s. Let g(z) = 3*z**2. Determine g(f(m)).
1728*m**2
Let c(g) = -g - 10. Let t(n) = -n + 12. What is t(c(p))?
p + 22
Let r(n) = -3*n. Let g(q) = 163*q. Calculate g(r(h)).
-489*h
Let r(i) = i**2. Let z(d) = 7*d**2 + 8*d**2 - 7*d**2. What is z(r(u))?
8*u**4
Let s(y) = 4*y**2 + 5*y - 5. Let q(x) = 2*x**2 + 2*x - 2. Let w(v) = 5*q(v) - 2*s(v). Let l(z) be the second derivative of z**4/6 - 5*z + 13. Give w(l(d)).
8*d**4
Let h(l) = -l**2. Let c = -7 + 7. Let t(w) = c + 0 + 40*w**2 - 35*w**2. Calculate h(t(s)).
-25*s**4
Let j(v) = v**3 + 2*v**2 - 5*v - 3. Let o be j(-3). Suppose -g + 2*g = o. Let a(l) = l**2 - 3 + g. Let y(k) = -k**2. Give y(a(n)).
-n**4
Let c(g) be the first derivative of -127*g + 5 - 2*g**2 + 127*g. Let a(l) = -17*l. Let u(y) = 6*y. Let m(r) = -4*a(r) - 11*u(r). Give m(c(z)).
-8*z
Let k(h) = 3*h**2 - 2. Let i(q) = -q**2. Calculate k(i(z)).
3*z**4 - 2
Let g be (-14)/(-49) - (-12)/7. Let r(w) = w**2 - 5*w**2 + 3*w**g + 3*w**2. Let p(m) = 5*m**2. What is r(p(i))?
50*i**4
Let l(o) = -2*o**2. Let d(w) be the second derivative of 1/6*w**4 + 0 + 0*w**2 + 0*w**3 - 2*w. Give d(l(n)).
8*n**4
Let n(a) = -27*a**2. Let k(v) = 5*v**2. Calculate k(n(o)).
3645*o**4
Let l(n) = -n**2 + 2*n. Let a(f) = f**2 - 3*f. Let h(x) = -4*a(x) - 6*l(x). Let p(j) = -2*j. Calculate h(p(u)).
8*u**2
Let p(l) = l. Let b(j) = j. Let g(w) = 3*b(w) - 5*p(w). Let n(u) = -14*u. Calculate g(n(i)).
28*i
Let c(f) = -2*f**2. Let i(h) = -1043 - 8*h**2 + 1043. Give i(c(d)).
-32*d**4
Let s(l) = -5*l**2. Let r(m) = 5*m**2 - 4*m**2 + 0*m**2. What is r(s(d))?
25*d**4
Let g(y) = 20*y - 6. Let t(s) = 21*s - 7. Let l(q) = 7*g(q) - 6*t(q). Let f(u) = u. Give f(l(o)).
14*o
Let w(r) be the first derivative of -5*r**3/3 - 6. Let u(d) = -2*d. Calculate w(u(p)).
-20*p**2
Let z(o) be the first derivative of 4*o**3/3 + 6. Let t(f) = 3*f**2. Give t(z(s)).
48*s**4
Let s(t) = 21*t - 2. Let c(k) = 51*k**2. Calculate c(s(n)).
22491*n**2 - 4284*n + 204
Let r(t) = 50*t**2. Let h(b) = -63*b**2. Give h(r(g)).
-157500*g**4
Let u(k) be the second derivative of -k**3/3 + 3*k. Let z(g) = g. Let r(h) = 3*h**2 - 4*h. Let v(a) = r(a) + 4*z(a). Give v(u(d)).
12*d**2
Let q(b) = 3*b**2. Let y(m) = 4*m**2 - 2*m**2 + m**2 - m**2. What is q(y(a))?
12*a**4
Let v
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{
"pile_set_name": "DM Mathematics"
}
|
t(80)*-1 + sqrt(35)/sqrt(28))*-5.
30*sqrt(3)/7
Simplify 2 + ((sqrt(567)*1 - sqrt(567))*6*-1)**2 + (sqrt(315)*2)/(sqrt(220)/sqrt(11)).
2 + 3*sqrt(7)
Simplify (-6*((((sqrt(288)*-2)/sqrt(8))/(-1*sqrt(48)) + 1)*6 + 3))**2.
3888*sqrt(3) + 6804
Simplify 6*(2*2*5*(2*(-1 + sqrt(605)) + 4))**2.
211200*sqrt(5) + 5817600
Simplify 2*(2 + sqrt(162))*1 - 1*(sqrt(2) + -3 + 4*sqrt(2) + sqrt(2))*1.
7 + 12*sqrt(2)
Simplify 1*((sqrt(275)/(sqrt(11)*-1))/((sqrt(40)/sqrt(4))/sqrt(2) - sqrt(5) - sqrt(5)) + (sqrt(45)*1*3)/(sqrt(144)*-1)).
sqrt(5)/4
Simplify (-1*(-2*sqrt(2430) - -1*sqrt(120)/sqrt(4)))/((-1*sqrt(2400) - sqrt(24))/(sqrt(576) - (sqrt(576) - 2*sqrt(576)))).
-408*sqrt(5)/11
Simplify ((sqrt(475) + (0 + sqrt(475) - sqrt(475)))*4 - ((-4 + 2*sqrt(19) - sqrt(19)) + -1))**2 - ((-4*2*sqrt(95))/(sqrt(80)*5) + -5).
952*sqrt(19)/5 + 6889
Simplify (-4 + ((sqrt(21) - -1*sqrt(21))*2 - -1*sqrt(189))/(sqrt(28)/(sqrt(72)/sqrt(2))))*5.
-20 + 105*sqrt(3)
Simplify sqrt(136)/sqrt(512) + (sqrt(136)*-3 + sqrt(136))/sqrt(8) + 4 - ((2*sqrt(136)*-4)/(sqrt(1152) - (4*sqrt(1152) - sqrt(1152))))**2.
-15*sqrt(17)/8 + 19/9
Simplify 5*1*(5 + sqrt(684) + -1 - (-3 + sqrt(684) + 3))*4.
80
Simplify (2 + 3 + sqrt(1300) + 5 + 2*sqrt(1300) + (2*sqrt(1053)*-4 - sqrt(1053) - sqrt(1053) - (-4 + sqrt(1053) + -3)))**2.
-2346*sqrt(13) + 62182
Simplify 5*((4*sqrt(133)*4)/sqrt(7) - (-3*sqrt(95)/sqrt(5) + -2)).
10 + 95*sqrt(19)
Simplify (3*(5 + (0 + sqrt(2057) + sqrt(2057) - sqrt(2057)) + 2 + sqrt(2057)*-2 + -1 + 4 + 3))**2*-5.
-100170 + 12870*sqrt(17)
Simplify ((((1*sqrt(408) - sqrt(408)) + sqrt(408))*1)/((sqrt(108) + sqrt(108)*-1 - sqrt(108) - sqrt(108) - sqrt(108))/sqrt(9)))/(-2*sqrt(162)*2*6).
sqrt(17)/648
Simplify (-6*((-1 + (4 + 1 + (-2*sqrt(1377) - sqrt(1377)) + sqrt(1377))*-2)*3 + 0))**2.
-256608*sqrt(17) + 7177572
Simplify (sqrt(84)/(-2*sqrt(588) + sqrt(12))*-2 - (-2 + 2 + sqrt(42)/sqrt(6) + 3))**2.
66*sqrt(7)/13 + 2368/169
Simplify sqrt(4032) + -1 + -5 - (-5*sqrt(140)/sqrt(5))/(sqrt(4) + 1*sqrt(144)).
-6 + 173*sqrt(7)/7
Simplify ((sqrt(98)*-4 + sqrt(2) - sqrt(4)/(sqrt(16)/sqrt(8))) + (sqrt(98)*4 - -2*sqrt(2)*2))**2.
32
Simplify 5 + ((-3 + sqrt(1100)*-2 - (0 + sqrt(1100) + -1) - (4 + (sqrt(1100) - 4*sqrt(1100)*1)))*4)**2.
581
Simplify (sqrt(99))**2 + 0 + (sqrt(66)*1)/sqrt(6) - (4 + (sqrt(11) + -2*sqrt(11) - sqrt(11)) - (sqrt(165)/sqrt(5))/sqrt(3))**2.
-16 + 25*sqrt(11)
Simplify (6*(sqrt(8) - 3*sqrt(8)*-3))**2 - (-5*(sqrt(1568) + -2 - sqrt(1568)))**2.
28700
Simplify -2*(4*(sqrt(1053)*-2)**2 - (3 + sqrt(1053) + -1))*5.
-168460 + 90*sqrt(13)
Simplify ((-3*(sqrt(3200)*1 - sqrt(3200) - sqrt(3200)))/(-2*(sqrt(10) + (sqrt(90) + sqrt(90)*1 - sqrt(10)))) + -4)**2.
16*sqrt(5) + 36
Simplify (((-3*sqrt(2744) + sqrt(2744))*4 - sqrt(2744))*-2)/(-4*(sqrt(8)*-3 + sqrt(8)) + (sqrt(40) - sqrt(40)*-2)/sqrt(5)).
126*sqrt(7)/11
Simplify ((0 + sqrt(539) + 1 - sqrt(539)) + 4 + 0 + 4 + -3 + 5 + 2 + 1)**2.
196
Simplify (((sqrt(80)*1)/sqrt(4) - sqrt(40)/(sqrt(16)/sqrt(8)))/(2*2*-3*sqrt(1440)))**2.
0
Simplify 5*((-1 + sqrt(7) + -4 + sqrt(7) + sqrt(140)/sqrt(5))*2 + 4 + (sqrt(567) + 1)**2 + 2).
130*sqrt(7) + 2820
Simplify -2 + (6*(4 + sqrt(68) + sqrt(68) + sqrt(68) + sqrt(68) + 4 + sqrt(68)))**2 + 1 + 2.
5760*sqrt(17) + 63505
Simplify 2*((2 + 0 + sqrt(112) + sqrt(112)*2 + sqrt(112))**2 + 6*(sqrt(112) - (sqrt(112) + (sqrt(112)*2)**2)) + 3 + sqrt(112)*-1 + -1).
-1780 + 120*sqrt(7)
Simplify (-2 + sqrt(1100))**2 + 5 + (sqrt(1100) + 0)**2 + -4 + (-2*(sqrt(1100) + -4*sqrt(1100) + -4)*-1)**2.
920*sqrt(11) + 41869
Simplify ((sqrt(175) + ((sqrt(175) - sqrt(175)*-2)*4 - sqrt(175) - sqrt(175)))/(sqrt(20) + sqrt(180) - sqrt(5)))/(sqrt(56)/(5*2*sqrt(2))).
55*sqrt(5)/7
Simplify 4 + ((sqrt(110) + 2*sqrt(110))/sqrt(10) - sqrt(11)) + (sqrt(176)*-1*-4)**2 - (-6*sqrt(1980) + sqrt(55))/(1*sqrt(5)*-6).
-23*sqrt(11)/6 + 2820
Simplify -5*(-2 + (-5 + 6*sqrt(1300)*1)*6)**2 + -1.
-8429121 + 115200*sqrt(13)
Simplify (sqrt(17) + sqrt(187)/sqrt(396) - (-2 + -4*sqrt(17))) + 2 + (sqrt(425) + 3 + -2 + sqrt(425))**2.
151*sqrt(17)/6 + 1705
Simplify (sqrt(238)/(2*sqrt(7)) - sqrt(1224)*1)/((sqrt(84)/(sqrt(12)/sqrt(2)))/(sqrt(189)/sqrt(3))).
-33*sqrt(17)/2
Simplify -3*((sqrt(114)/(sqrt(6)/sqrt(27)))/(sqrt(108) + sqrt(108) + sqrt(108) + -2*sqrt(108)))**2*2.
-57/2
Simplify 2*((-1 + 0 + 4*(sqrt(567) - ((sqrt(567) - sqrt(567)*2) + 3 + sqrt(567)))*-4 + -1)**2 + -4).
-26496*sqrt(7) + 294528
Simplify -5*((-2*sqrt(130)*-2)/sqrt(10) + -5*(sqrt(1053) + 0) + sqrt(1053))*2.
320*sqrt(13)
Simplify 5*(3*(sqrt(204) + sqrt(204)*1 + sqrt(204)) + sqrt(204) - sqrt(204))/sqrt(12) - (3 + sqrt(612)*-2 + (2 + sqrt(17))*-4).
5 + 61*sqrt(17)
Simplify -1 + ((-1*sqrt(12)/(sqrt(8)/sqrt(2)))**2 + -3 - (5 + (3*sqrt(336))/sqrt(7))).
-12*sqrt(3) - 6
Simplify ((-1*sqrt(297))/sqrt(9) - 2*sqrt(3993))/((sqrt(1331) + sqrt(1331)*-1)*-5 + -1*sqrt(1331)*1).
23*sqrt(3)/11
Simplify ((2 + sqrt(171)*-1 - sqrt(171)) + -2)**2 - ((sqrt(19) + -2*sqrt(19))*-4 + (5*sqrt(38)/sqrt(2) - sqrt(19)))**2.
-532
Simplify (sqrt(784)*2 - sqrt(49))/(sqrt(847)*3) - (((2*sqrt(63))/sqrt(9) - (2*sqrt(42))/sqrt(6)) + (sqrt(224)/(sqrt(8)*-2))**2).
-7 + 7*sqrt(7)/33
Simplify (-3*sqrt(120))/(sqrt(250) - 2*sqrt(250)) - ((sqrt(12)/(sqrt(8)/sqrt(2)) - 6*sqrt(48)) + 2 + sqrt(108)*2)**2.
-367 + 226*sqrt(3)/5
Simplify 3 + ((sqrt(54)/sqrt(9)*5)/(1*sqrt(147))*-5)**2.
1397/49
Simplify (6*((sqrt(171) - 5*sqrt(171)*1) + -1*1*sqrt(171) + sqrt(171)))/((sqrt(225) - (sqrt(225) + sqrt(225) + (sqrt(225) - (sqrt(225) - sqrt(225)*5*-6))))*3).
-8*sqrt(19)/145
Simplify ((2 + -2*sqrt(192) + sqrt(192) + 1 - 2*(1*sqrt(192) + -4))*4*3)**2.
-76032*sqrt(3) + 266256
Simplify (-1*-1*sqrt(117) + sqrt(117) - sqrt(117) - (sqrt(117)*-2*-5 - sqrt(117)))/(sqrt(36)/(sqrt(8)/sqrt(2)) + (sqrt(81) - sqrt(81)*-2)) + 2.
-4*sqrt(13)/5 + 2
Simplify (5*sqrt(500) - (sqrt(2880)*3 - sqrt(2880)))/(4*-1*sqrt(90)*6).
-sqrt(2)/72
Simplify (2*sqrt(1078)*3 + sqrt(1078) - -4*sqrt(1078)*-3)/((sqrt(12)/sqrt(2)*3)/(sqrt(21)/(sqrt(7)*-1))).
35*sqrt(11)/3
Simplify (sqrt(25) - sqrt(250)/sqrt(90))/((sqrt(30) - sqrt(750))/sqrt(6)) + (2*sqrt(50)/sqrt(5))/(3*sqrt(200) + sqrt(200)) + -2.
-2 - 7*sqrt(5)/60
Simplify -2 + (-2 + sqrt(847))**2 + (0 + sqrt(847) + 1)**2 + (sqrt(420)/sqrt(250))/(sqrt(36)/sqrt(6)*-2).
-221*sqrt(7)/10 + 1697
Simplify (-6*4*(sqrt(88) - sqrt(88)*-1))/(sqrt(40)/(sqrt(20) + -3*sqrt(20))).
192*sqrt(11)
Simplify ((sqrt(50) + sqrt(100)/sqrt(2)*-3)/(sqrt(5) - sqrt(25)/sqrt(45)))/((sqrt(2430)*1)/((sqrt(180)/sqrt(3))/sqrt(10))).
-sqrt(2)/3
Simplify ((6*(2*sqrt(153)*3 + sqrt(153) + (sqrt(153) - (-1 + 0 + sqrt(153)))))**2 + 1)*5.
7560*sqrt(17) + 1349645
Simplify (-1*sqrt(153)*-6 + (sqrt(153)*-2*2)**2)*-3 + (-5 + 5 + -2*sqrt(153))**2 + 5.
-6727 - 54*sqrt(17)
Simplify -4*((sqrt(1088) - (1 + sqrt(1088)))*-6 + sqrt(1088) - ((sqrt(2057) + 1)**2 + sqrt(17) - ((1 + sqrt(17))*3)**2)).
-12*sqrt(17) + 7560
Simplify (((5*1*sqrt(490))/sqrt(10)*-2)/(1*(sqrt(7) + sqrt(63)) + (sqrt(7) - (sqrt(567)*2 + sqrt(567) - sqrt(567)))))**2.
700/169
Simplify (1*5*(sqrt(76) + sqrt(76) + sqrt(76)*5*-1 + sqrt(76)))/(-1*(sqrt(324) - sqrt(324)*2) + sqrt(324)*-2*2).
10*sqrt(19)/27
Simplify (-5*sqrt(70)/sqrt(2) + (sqrt(385) - sqrt(385)*3 - sqrt(385))/sqrt(11))/((sqrt(250)/sqrt(5))/sqrt(10) + sqrt(80) + sqrt(80)*2).
-8*sqrt(7)/13
Simplify 5*4*sqrt(363) + (sqrt(363) + 4 + sqrt(363) + 0 + sqrt(363) + sqrt(363))**2 - 5*(1 + 1*sqrt(363) - sqrt(363) - (-1 + (sqrt(363) + 0 + sqrt(363))**2)).
572*sqrt(3) + 13074
Simplify 1*(0 + (sqrt(175) - (-1 + sqrt(175))*-4) + 4 + -3*sqrt(175))**2*4.
2800
Simplify (-6*(-1 + (sqrt(5) - (2*sqrt(5) + sqrt(5)))) - -6*(1*sqrt(180) + sqrt(180)))**2 - -2*(4*((sqrt(80)*2 - sqrt(80)) + -2))**2.
496*sqrt(5) + 38004
Simplify ((5*(sqrt(95) - (sqrt(95) + sqrt(95)*2*2)))/(sqrt(180) + 4*sqrt(180)*-3)*2)**2.
7600/1089
Simplify (1*sqrt(108) + sqrt(24)/(sqrt(6)/sqrt(3)))/(1*sqrt(100)*-1 - sqrt(100)*-1*6).
4*sqrt(3)/25
Simplify (-6*(sqrt(560) - (-2*sqrt(560) - sqrt(560)))*-6)/((sqrt(55)*-1)/sqrt(11) + sqrt(5) + (sqrt(5) + (sqrt(5) - (sqrt(45) - sqrt(5))) + sqrt(5))*4) + -4.
-4 + 144*sqrt(7)
Simplify ((-2*sqrt(121)*6*-6*-4)/(sqrt(176) + (sqrt(176) - -1*sqrt(176)*-4 - sqrt(176)) - (sqrt(176) - (sqrt(176) + -3*sqrt(176)*1))))**2.
1584
Simplify ((2*sqrt(91) - sqrt(91))*1 - (-5*(sqrt(91)*-1 - sqrt(91)
|
{
"pile_set_name": "DM Mathematics"
}
|
creasing order.
-6, -4, -3/2, -0.18
Sort 1/7, -1/3, 0.1.
-1/3, 0.1, 1/7
Put 3, 3/8, -32 in descending order.
3, 3/8, -32
Put 2/183, 0.2, -1, 0.4, -12 in descending order.
0.4, 0.2, 2/183, -1, -12
Put -3.3, -3/4, 1 in ascending order.
-3.3, -3/4, 1
Sort 0.4, 4, 55.
0.4, 4, 55
Put -6, 5, 127 in decreasing order.
127, 5, -6
Sort -5, -54, 4, 1 in descending order.
4, 1, -5, -54
Sort 5, -14, 254 in decreasing order.
254, 5, -14
Sort 4.8, -2/17, -4, -10.
-10, -4, -2/17, 4.8
Put -1, -5, 1425, 1, 4 in decreasing order.
1425, 4, 1, -1, -5
Sort -1, 3, 15/2 in decreasing order.
15/2, 3, -1
Put -5, -1.3, -4, 3 in descending order.
3, -1.3, -4, -5
Sort -3/8, 0.3, -24, 2/17, -0.2 in descending order.
0.3, 2/17, -0.2, -3/8, -24
Put 0.134, 0.4, 2/17 in descending order.
0.4, 0.134, 2/17
Sort 115, 0, 2, 1 in ascending order.
0, 1, 2, 115
Put -1, 6, 19.6 in ascending order.
-1, 6, 19.6
Put -1/15, 14, -5 in decreasing order.
14, -1/15, -5
Sort 1, -0.4, -2/19, 4.
-0.4, -2/19, 1, 4
Sort 3, -2.2, 2/9, -3 in descending order.
3, 2/9, -2.2, -3
Put 2, 5, 381 in decreasing order.
381, 5, 2
Sort 0, 54/11, 0.1.
0, 0.1, 54/11
Sort 49, 1, -3 in ascending order.
-3, 1, 49
Sort 10/3, -0.5, -0.4, 4 in ascending order.
-0.5, -0.4, 10/3, 4
Sort 3/5, 4, 1, -12, -2 in descending order.
4, 1, 3/5, -2, -12
Sort -57, 8, 3 in increasing order.
-57, 3, 8
Sort -2, -3/11, 33.
-2, -3/11, 33
Put 2, -17, 0, -3, -8 in decreasing order.
2, 0, -3, -8, -17
Sort 4, 3, -5, 18.
-5, 3, 4, 18
Put -14, 1, -5 in decreasing order.
1, -5, -14
Sort 0.36, 0, 2, -24 in descending order.
2, 0.36, 0, -24
Put -102, 2, -3, 3 in descending order.
3, 2, -3, -102
Put -2, 2, 1, -27 in decreasing order.
2, 1, -2, -27
Put -5, 11/2, -1 in increasing order.
-5, -1, 11/2
Put -4.4, -0.2, -5, 1 in ascending order.
-5, -4.4, -0.2, 1
Sort -4, 1, 5, 10 in ascending order.
-4, 1, 5, 10
Put -13, 1/7, 1/4 in descending order.
1/4, 1/7, -13
Put 0.53, 5, 2/13, 1 in increasing order.
2/13, 0.53, 1, 5
Sort 0.05, 1, 4/9, 1/3 in decreasing order.
1, 4/9, 1/3, 0.05
Sort -0.68, 2/5, -4, -3, -0.02 in decreasing order.
2/5, -0.02, -0.68, -3, -4
Sort -4, 3, 23.
-4, 3, 23
Sort -4, 3, -8, 2 in descending order.
3, 2, -4, -8
Sort -5, -2, -126 in descending order.
-2, -5, -126
Put -184, 5, -4 in descending order.
5, -4, -184
Sort 0, -26, -19.5.
-26, -19.5, 0
Put 2, -9, 4, 0 in decreasing order.
4, 2, 0, -9
Put 0.03, -5, 0.017 in increasing order.
-5, 0.017, 0.03
Put -1/3, 0.4, 1/5, -20, -2 in ascending order.
-20, -2, -1/3, 1/5, 0.4
Put 57, 4, -23, -2 in descending order.
57, 4, -2, -23
Put -2, 202, 0, 1 in decreasing order.
202, 1, 0, -2
Put -3/8, -11, -8 in descending order.
-3/8, -8, -11
Put 2, 1, -3 in decreasing order.
2, 1, -3
Sort 4, 2, -4, -3 in ascending order.
-4, -3, 2, 4
Put -0.2, -3/2, 7.014 in ascending order.
-3/2, -0.2, 7.014
Put 0, -5, -158 in increasing order.
-158, -5, 0
Sort -5, 0, 1, -2 in descending order.
1, 0, -2, -5
Sort -162, -4, 2.
-162, -4, 2
Sort 17, 8, -4 in ascending order.
-4, 8, 17
Put 12, 93, -5 in increasing order.
-5, 12, 93
Sort -1, -66, 1, -4 in decreasing order.
1, -1, -4, -66
Sort -20, -4, -5, -2 in decreasing order.
-2, -4, -5, -20
Sort -6, 3, 71 in decreasing order.
71, 3, -6
Put -8, 3, -1, 2 in descending order.
3, 2, -1, -8
Sort 1, -3, 23 in descending order.
23, 1, -3
Sort -0.3, 10/113, 1/3, 0.04, 1.
-0.3, 0.04, 10/113, 1/3, 1
Sort 5, 0, -2/9, -1/14, 2 in decreasing order.
5, 2, 0, -1/14, -2/9
Sort 3, -9, 2/9, -4.
-9, -4, 2/9, 3
Put 126, 0, -7 in ascending order.
-7, 0, 126
Sort -4/9, -3/5, -2282.
-2282, -3/5, -4/9
Put 1536, -1, -2, -0.3 in decreasing order.
1536, -0.3, -1, -2
Sort -7, -2, -23, 4 in decreasing order.
4, -2, -7, -23
Put 0, -5, 14, 7/8 in descending order.
14, 7/8, 0, -5
Sort -81, -3, -5 in ascending order.
-81, -5, -3
Sort -4, -19, -0.34 in increasing order.
-19, -4, -0.34
Sort 5, 2/3, -4, 2066 in decreasing order.
2066, 5, 2/3, -4
Sort 99, -3/5, -1/8, -1/2.
-3/5, -1/2, -1/8, 99
Sort -8, 27, 3 in ascending order.
-8, 3, 27
Put 2, -4, 1228 in descending order.
1228, 2, -4
Put 1/4, -1, -35, -1/2 in decreasing order.
1/4, -1/2, -1, -35
Sort -3, 3/4, -4/21, 1 in descending order.
1, 3/4, -4/21, -3
Put -4, -8, 1, 0 in descending order.
1, 0, -4, -8
Sort -5, 3, 54, 2, -2.
-5, -2, 2, 3, 54
Put 5, 38, 22, 0.5 in descending order.
38, 22, 5, 0.5
Sort -14, -7, 1 in descending order.
1, -7, -14
Sort -80, 5, -4 in ascending order.
-80, -4, 5
Sort -5, 2, -223.
-223, -5, 2
Sort -2, -0.5, 23, 1, -3 in decreasing order.
23, 1, -0.5, -2, -3
Sort -14, 0, -3, 1, 3.
-14, -3, 0, 1, 3
Sort -0.1, 2/11, -1.5, 0.5, 44 in increasing order.
-1.5, -0.1, 2/11, 0.5, 44
Sort 3/8, -4/3, -1/5 in descending order.
3/8, -1/5, -4/3
Sort -17, -11, -5, -2 in ascending order.
-17, -11, -5, -2
Put 1/5, -4, 1, -0.2 in decreasing order.
1, 1/5, -0.2, -4
Sort -0.4, -0.3, 0.4, 0.1, 12 in increasing order.
-0.4, -0.3, 0.1, 0.4, 12
Put 4, 16, -2, -5 in ascending order.
-5, -2, 4, 16
Sort 5, -330, 4, -3.
-330, -3, 4, 5
Put -4, 3, -5, -2, -1 in descending order.
3, -1, -2, -4, -5
Put 82, 9, -5 in descending order.
82, 9, -5
Sort -14, -0.24, -4/7, -2/5 in decreasing order.
-0.24, -2/5, -4/7, -14
Sort 4, -1/18, -5, -1 in decreasing order.
4, -1/18, -1, -5
Sort 3, 4/5, 1/5, -52/5 in decreasing order.
3, 4/5, 1/5, -52/5
Sort 39, -0.2, 2/5.
-0.2, 2/5, 39
Sort 8/15, -0.2, 1/10, -0.5, 5 in ascending order.
-0.5, -0.2, 1/10, 8/15, 5
Sort 2/29, 2, 0.11, 4 in decreasing order.
4, 2, 0.11, 2/29
Sort 104/9, 2, -2.5.
-2.5, 2, 104/9
Sort 8, 14, -0.4, -0.1.
-0.4, -0.1, 8, 14
Sort -4, 0, 2, -3, 6.
-4, -3, 0, 2, 6
Put -5, -259, -7 in decreasing order.
-5, -7, -259
Sort 7, 15, -2.
-2, 7, 15
Sort -4, -3, -19, -1.
-19, -4, -3, -1
Sort 4, 2/7, -9, 2/3 in descending order.
4, 2/3, 2/7, -9
Put -7, -5, -3, -44 in increasing order.
-44, -7, -5, -3
Put 2, 15, 3, 5 in descending order.
15, 5, 3, 2
Put -2, -5, 154, 5 in increasing order.
-5, -2, 5, 154
Sort 2/175, -0.3, 2/7 in descending order.
2/7, 2/175, -0.3
Sort -4, 2, 113, 0.4, -0.1 in descending order.
113, 2, 0.4, -0.1, -4
Sort 2/11, 3/10, 0.05, -4, 5 in ascending order.
-4, 0.05, 2/11, 3/10, 5
Put -6, -3, 5 in increasing order.
-6, -3, 5
Put 13, -26, -1 in descending order.
13, -1, -26
Sort -0.1, -2/13, 17 in ascending order.
-2/13, -0.1, 17
Put 0, -1078, -2, 2 in descending order.
2, 0, -2, -1078
Put -2, 74, 1 in descending order.
74, 1, -2
Sort -4, 2, 16, -3 in ascending order.
-4, -3, 2, 16
Put -3, 4, -10 in decreasing order.
4, -3, -10
Sort -36, 2, 3, 0, -4.
-36, -4, 0, 2, 3
Sort -9, 0, -114.
-114, -9, 0
Sort -222, 5, 2.
-222, 2, 5
Put -5, 5, 4, 8 in descending order.
8, 5, 4, -5
Sort -4, -8, -16, 2 in decreasing order.
2, -4, -8, -16
Put 2, 0, -48 in decreasing order.
2, 0, -48
Sort -5, -10, 20 in ascending order.
-10, -5, 20
Put -4, -16, -2, 50 in ascending order.
-16, -4, -2, 50
Put 1, -3, 40 in decreasing order.
40, 1, -3
Sort -1, 298, -4 in decreasing order.
298, -1, -4
Sort 11, 3, 7, -0.3.
-0.3, 3, 7, 11
Sort 22, -26, -2.
-26, -2, 22
Put -7, -4, -2, 90 in ascending order.
-7, -4, -2, 90
Put 1, -8, -2 in descending order.
1, -2, -8
Sort 13/4, -3, -1/2 in ascending order.
-3, -1/2, 13/4
Sort 3, -2, 280, -1, 2 in descending order.
280, 3, 2, -1, -2
Sort -1, 190, -6.
-6, -1, 190
Put 4, 88, 27 in increasing order.
4, 27, 88
Put 0.4, -5, 5, 61, 0.5 in increasing order.
-5, 0.4, 0.5, 5, 61
Sort 2, -4, -5, 7 in ascending order.
-5, -4, 2, 7
Sort -5, 10, -4, 2, 4 in increasing order.
-5, -4, 2, 4, 10
Put 4, -5, 45 in descending order.
45, 4, -5
Sort 1, 3, -5, 8, -14 in ascending order.
-14, -5, 1, 3, 8
Sort 4, 1, -11, -3 in descending order.
4, 1, -3, -11
Sort 4, 2, -61, -8 in decreasing order.
4, 2, -8, -61
Put 5, 1, 256, 2/7 in decreasing order.
256, 5, 1, 2/7
Put -4, 3, 1, -1, 105 in increasing order.
-4, -1, 1, 3, 105
Put -16, 2, -4/7, 0 in increasing order.
-16, -4/7, 0, 2
Put 1, 4, 223 in decreasing order.
223, 4, 1
Sort -4, -15, -12 in descending order.
-4, -12, -15
Sort 2/7, 1.1, 0.7, 1/19 in descending order.
1.1, 0.7, 2/7, 1/19
Put -22, -2, -1, 4 in descending order.
4, -1, -2, -22
Sort -5, 3, -3, 9, 5 in increasing order.
-5, -3, 3, 5, 9
Sort 4, 21, -2.
-2, 4, 21
Sort 1, -3, -11 in decreasing order.
1, -3, -11
Put 1.2, -0.09, 0, 3 in decreasing order.
3, 1.2, 0, -0.09
Put 3, 32/5,
|
{
"pile_set_name": "DM Mathematics"
}
|
4.8 rounded to the nearest one hundred?
-26700
What is -39348440 rounded to the nearest one million?
-39000000
What is -28414480 rounded to the nearest one million?
-28000000
What is 0.0000610309 rounded to seven decimal places?
0.000061
Round 100900610 to the nearest one hundred thousand.
100900000
What is -0.00003376451 rounded to 7 decimal places?
-0.0000338
Round -2.0402193 to 3 dps.
-2.04
What is -3099.736 rounded to the nearest ten?
-3100
Round -0.00204291 to four dps.
-0.002
What is -0.0003722466 rounded to 7 decimal places?
-0.0003722
What is -0.0000195653 rounded to 6 decimal places?
-0.00002
Round -824.0308 to 1 decimal place.
-824
What is 0.0303326 rounded to four dps?
0.0303
Round -26002.592 to the nearest one hundred.
-26000
Round 9804.2194 to the nearest ten.
9800
Round -15373.152 to the nearest ten.
-15370
Round 449052200 to the nearest one hundred thousand.
449100000
What is -546.84747 rounded to 1 dp?
-546.8
Round 0.0000086354 to six dps.
0.000009
What is 3353.5 rounded to the nearest 100?
3400
Round -0.000031739 to five decimal places.
-0.00003
Round 5.200724 to three dps.
5.201
What is 6.272994 rounded to 2 decimal places?
6.27
What is -2099.2334 rounded to the nearest 10?
-2100
What is 55.6109 rounded to the nearest 10?
60
What is -0.001623228 rounded to 4 decimal places?
-0.0016
Round 1347431 to the nearest 1000.
1347000
Round 0.000046754 to 6 decimal places.
0.000047
Round 7845.273 to the nearest 10.
7850
Round 38156900 to the nearest one million.
38000000
Round -842608.53 to the nearest one hundred thousand.
-800000
Round -4.70709 to zero dps.
-5
Round 0.00015770718 to five decimal places.
0.00016
Round 110258 to the nearest 1000.
110000
What is -0.0000774148 rounded to five decimal places?
-0.00008
Round 0.000000378811 to seven decimal places.
0.0000004
What is 315219 rounded to the nearest 1000?
315000
Round 0.000057342412 to six decimal places.
0.000057
Round 0.05530853 to four dps.
0.0553
What is -18761708 rounded to the nearest 100000?
-18800000
What is 0.0001584918 rounded to five decimal places?
0.00016
What is 2536490 rounded to the nearest one million?
3000000
Round 0.00053694679 to six decimal places.
0.000537
What is -101522380 rounded to the nearest one hundred thousand?
-101500000
What is -1.431482 rounded to 2 dps?
-1.43
What is -0.00046412744 rounded to 6 decimal places?
-0.000464
What is 12618.65 rounded to the nearest one hundred?
12600
What is 0.0013973949 rounded to five dps?
0.0014
What is -10643.3023 rounded to zero decimal places?
-10643
What is -3.9652 rounded to 1 dp?
-4
What is 379.03 rounded to the nearest ten?
380
What is 1.271952 rounded to 1 decimal place?
1.3
Round 0.000598414 to six dps.
0.000598
What is 0.000017315 rounded to five dps?
0.00002
Round -0.60025 to one decimal place.
-0.6
What is -80552.1 rounded to the nearest ten thousand?
-80000
Round 15820.42 to the nearest 1000.
16000
What is -11.30764 rounded to the nearest integer?
-11
What is 0.02268221 rounded to 4 decimal places?
0.0227
What is -38322720 rounded to the nearest one million?
-38000000
Round -3272.2095 to the nearest one hundred.
-3300
Round 8746.45 to the nearest one thousand.
9000
Round 105634.4 to the nearest 1000.
106000
Round -137.961 to 0 decimal places.
-138
Round -0.0001620647 to 7 dps.
-0.0001621
Round -0.0005633985 to five dps.
-0.00056
What is 1317.8153 rounded to one decimal place?
1317.8
Round 29.54534 to zero dps.
30
Round -1342720 to the nearest 10000.
-1340000
Round -9.3567333 to the nearest integer.
-9
What is -109831000 rounded to the nearest 100000?
-109800000
What is -67.285233 rounded to two dps?
-67.29
What is -0.00088242 rounded to 4 decimal places?
-0.0009
Round -0.287554 to three decimal places.
-0.288
Round -0.00015934868 to six dps.
-0.000159
What is 13545.628 rounded to the nearest one hundred?
13500
Round 3226.087 to the nearest integer.
3226
Round -93001.6 to the nearest 100.
-93000
What is 13318200 rounded to the nearest one million?
13000000
What is 474.0119 rounded to the nearest integer?
474
What is -4124581600 rounded to the nearest 1000000?
-4125000000
Round 59842.3 to the nearest one hundred.
59800
What is 1682.668 rounded to the nearest 10?
1680
Round -0.000248664 to 4 dps.
-0.0002
What is -14453590 rounded to the nearest ten thousand?
-14450000
Round -71.53148 to one decimal place.
-71.5
What is 0.0014408025 rounded to 3 decimal places?
0.001
What is -622.57 rounded to zero decimal places?
-623
What is 32.08975 rounded to the nearest 10?
30
What is -0.006555 rounded to two dps?
-0.01
What is -66558400 rounded to the nearest one million?
-67000000
What is 0.000494874 rounded to six decimal places?
0.000495
What is -0.0000003974262 rounded to 7 decimal places?
-0.0000004
What is 0.11002766 rounded to three dps?
0.11
What is 340412.19 rounded to the nearest one thousand?
340000
What is -7.246409 rounded to one dp?
-7.2
What is 0.0068292 rounded to 5 decimal places?
0.00683
What is -4532.3626 rounded to the nearest one hundred?
-4500
Round 0.0334101 to three decimal places.
0.033
Round 46730000 to the nearest one million.
47000000
Round -23727.1 to the nearest ten thousand.
-20000
Round 0.000190757 to seven dps.
0.0001908
Round 0.00170689 to 5 dps.
0.00171
What is 0.0001036899 rounded to 6 dps?
0.000104
Round -5143.3628 to the nearest ten.
-5140
Round -0.0634284 to four dps.
-0.0634
What is -122210 rounded to the nearest one hundred thousand?
-100000
Round -23182.6 to the nearest one hundred.
-23200
Round 254.1497 to 1 decimal place.
254.1
What is 17296900 rounded to the nearest 1000000?
17000000
Round -40103290 to the nearest ten thousand.
-40100000
Round 0.00002801872 to 6 decimal places.
0.000028
What is -80283.5 rounded to the nearest 100?
-80300
What is 0.0204499 rounded to two decimal places?
0.02
Round 0.0000933308 to 5 decimal places.
0.00009
What is 0.000016167871 rounded to 6 dps?
0.000016
Round -39132.9 to the nearest one thousand.
-39000
Round -430614 to the nearest 1000.
-431000
What is -0.00011465715 rounded to 7 decimal places?
-0.0001147
Round -58296 to the nearest one hundred.
-58300
Round -0.0000030843172 to seven dps.
-0.0000031
What is -1949.783 rounded to the nearest 10?
-1950
What is -23.540103 rounded to zero dps?
-24
What is -11932.56 rounded to the nearest 1000?
-12000
Round 0.1023397 to two decimal places.
0.1
What is -23345450 rounded to the nearest one hundred thousand?
-23300000
What is -3.16002 rounded to the nearest integer?
-3
Round -311198600 to the nearest one million.
-311000000
Round 76435 to the nearest ten thousand.
80000
What is 0.000000839699 rounded to 7 decimal places?
0.0000008
Round -246.8 to the nearest 100.
-200
Round -57.370414 to the nearest 10.
-60
Round -1525850 to the nearest one hundred thousand.
-1500000
What is -194817 rounded to the nearest 10000?
-190000
What is -1.7732636 rounded to one dp?
-1.8
What is -1572346.1 rounded to the nearest one thousand?
-1572000
Round -10.89 to the nearest integer.
-11
What is -544738 rounded to the nearest 10000?
-540000
What is -9409020 rounded to the nearest 1000000?
-9000000
Round -0.19425825 to two dps.
-0.19
Round -0.0555489 to 2 decimal places.
-0.06
What is -0.000006227447 rounded to six dps?
-0.000006
What is -0.002611604 rounded to six dps?
-0.002612
What is -0.1343639 rounded to four decimal places?
-0.1344
What is 0.000080197 rounded to 5 dps?
0.00008
What is -7267.862 rounded to the nearest ten?
-7270
What is 7.150679 rounded to 0 dps?
7
Round 58699300 to the nearest 1000000.
59000000
Round -0.2874168 to 3 dps.
-0.287
What is 0.0462209 rounded to 4 decimal places?
0.0462
What is -2637341 rounded to the nearest 100000?
-2600000
Round -0.00587931 to five decimal places.
-0.00588
What is -0.0000150703 rounded to seven decimal places?
-0.0000151
Round 19285.036 to the nearest ten.
19290
What is 1789.458 rounded to the nearest integer?
1789
Round 423.4259 to the nearest one hundred.
400
What is 0.00010339904 rounded to 5 decimal places?
0.0001
What is -15.852534 rounded to the nearest integer?
-16
Round 16.392364 to zero dps.
16
Round 0.262001 to one decimal place.
0.3
Round -115220400 to the nearest one million.
-115000000
What is 18035.684 rounded to the nearest 10?
18040
Round -25335
|
{
"pile_set_name": "DM Mathematics"
}
|
(a) -2 (b) -232 (c) -5 (d) 2/5 (e) 0.1
e
What is the nearest to 9 in 16, 2/27, -5, -4, -1?
16
What is the nearest to 1/16 in 3/5, -3, 1674, 1/5, -0.2?
1/5
Which is the nearest to 2/7? (a) 0 (b) -3/7 (c) -139/5 (d) -0.2 (e) -0.4
a
What is the closest to -2/7 in -8.4, 0.3, 3, 4/7, -5?
0.3
Which is the closest to 0.3? (a) -11 (b) -4 (c) 1.7 (d) 2/7
d
Which is the nearest to 479? (a) -2 (b) 0.3 (c) 6 (d) -25 (e) 0.5
c
Which is the nearest to -2? (a) 1491 (b) 0.06 (c) -2 (d) 1
c
Which is the nearest to 2? (a) -448 (b) 5 (c) -7 (d) 2/9
d
What is the closest to 90 in -5, 127, 0?
127
What is the closest to 6 in -0.2, 6/29, -0.02, 0.3?
0.3
What is the closest to -807 in 0, 4, 0.04, 3/8?
0
What is the nearest to -2/23 in -53, 2, -0.94?
-0.94
What is the closest to 7 in 29/4, -7, -13?
29/4
What is the closest to 2 in -1/9, 10.2, -2.1?
-1/9
What is the closest to -10 in -1/4, -2/5, -0.2, 0, 5?
-2/5
Which is the closest to 197? (a) 5 (b) 140 (c) 3
b
What is the closest to -1/8 in 2/53, -3, -571?
2/53
Which is the nearest to 1/3? (a) -2.068 (b) -5 (c) 4 (d) -4
a
Which is the closest to 2/5? (a) 1 (b) -2.1 (c) 5.2
a
Which is the nearest to -0.1? (a) -2 (b) 7 (c) 4 (d) -0.24
d
What is the nearest to -1 in 145, 147, 5?
5
What is the closest to 4 in 11, 0, -166, 1, -5/6?
1
Which is the nearest to 4? (a) 0.3 (b) 0.2 (c) -12.8 (d) 16
a
Which is the nearest to 2/37? (a) 1/2 (b) 6/169 (c) -3
b
Which is the closest to 2/7? (a) 0 (b) 2/11 (c) 16641
b
What is the nearest to 0 in -15, -29, 3, -2/5?
-2/5
What is the closest to 2/11 in 0.7, 0, -26/7?
0
Which is the closest to 927? (a) 2 (b) -0.134 (c) -0.8
a
What is the closest to 0 in 5, 0.5, 3, -1125/4?
0.5
What is the closest to 2 in 1, 51, 1.3, -3?
1.3
Which is the closest to 6? (a) -0.063 (b) -2/15 (c) -0.3 (d) -0.2 (e) 4
e
What is the closest to -1/7 in 2, 3/4, 39/5, -3?
3/4
What is the closest to -10 in -1033, -1/7, -2/23?
-1/7
Which is the closest to -2/5? (a) -5 (b) -0.2 (c) 6739
b
What is the closest to -0.1 in 27, 218, -2?
-2
What is the nearest to 0.2 in 3549, 0.2, 2/5, 4?
0.2
Which is the nearest to 0? (a) 1 (b) -5/177 (c) -35
b
Which is the closest to -43/2? (a) -0.5 (b) -9/7 (c) 3
b
Which is the nearest to 2? (a) 8/45 (b) -4/9 (c) 1/4
c
What is the closest to -2 in -21.9, -0.4, 4, 0.4, 0?
-0.4
What is the closest to 1 in 4, -3/8, 0.5, -4?
0.5
What is the nearest to 0.1 in -0.5, 0.804, 0.3, -1/8?
0.3
What is the nearest to 1/3 in 0, -836.46, 5, -2?
0
Which is the nearest to -1? (a) -23 (b) 2 (c) 0.3
c
Which is the closest to -0.1? (a) 3 (b) -1444 (c) 2 (d) 4
c
Which is the nearest to 0? (a) -0.02 (b) -0.00533 (c) -1
b
Which is the closest to -0.1? (a) -293 (b) 2 (c) -4 (d) 1451
b
What is the nearest to 5 in 0.4, 3/2, 3, 471?
3
Which is the nearest to -1/2? (a) 0.2 (b) 25 (c) 2/17 (d) 47
c
What is the closest to -0.6 in 5118, 1, -4/3, 0.2?
-4/3
What is the nearest to 1/3 in 0, -12948.8, -1/3, 2?
0
Which is the nearest to -2/5? (a) -206 (b) -0.3 (c) 2 (d) -312
b
What is the closest to 6 in -0.03, -40, 5?
5
What is the nearest to 1 in 742, 13.3, -0.2?
-0.2
Which is the closest to -2/1637? (a) 1 (b) -4 (c) 0.4
c
What is the closest to -1 in -4, -3, -0.1, -0.3, -0.5?
-0.5
What is the nearest to 1 in -545, 1, -7/5?
1
What is the closest to 1.9 in 5, 39, 1/2?
1/2
Which is the closest to 25? (a) -8/15 (b) 0.3 (c) -1 (d) 3
d
What is the nearest to -0.11 in -2/7, 190, -1.4?
-2/7
What is the closest to -4 in 0.2, 44565, 0.1, 1/3, 3/7?
0.1
What is the closest to 0 in -0.079, -6, 0.1, 0?
0
What is the nearest to 1743 in 3/2, 4, 3, 2/11?
4
Which is the closest to 5? (a) -4 (b) -4/3 (c) -21.802
b
What is the closest to -0.1 in 5, 2, -16, 8.3?
2
What is the nearest to 0 in -0.4, -1/8, 3/7, -4, -0.05?
-0.05
Which is the nearest to -0.1? (a) -15547 (b) 4 (c) 1/9 (d) 0.3 (e) 3
c
What is the nearest to -92 in -2/3, -1.5, 0.3, 0.2, -0.4?
-1.5
Which is the nearest to -0.1? (a) 13 (b) 2/11 (c) 7 (d) 133
b
What is the nearest to 1 in -3/4, 0.4, -0.1, -12.31?
0.4
Which is the nearest to -1.3? (a) 0.3 (b) 0.393 (c) -2/11 (d) 7
c
What is the nearest to 0 in -1/6, -0.4, 1/9, -2/11?
1/9
Which is the nearest to -0.1? (a) 2 (b) 0.4 (c) -0.41 (d) -1
c
What is the closest to 13 in 0, -0.14, 18.7, 3?
18.7
Which is the nearest to 0.11? (a) 900 (b) 15 (c) -2 (d) -3
c
What is the closest to 0.1 in -0.4, -0.186, -3, -0.52?
-0.186
What is the closest to 0 in 1, -621, -1/35?
-1/35
What is the closest to 69 in 0.15, 0, -1.3, 4, -1?
4
What is the nearest to 15 in -7, 19/3, 1/11, 5?
19/3
Which is the closest to 14/13? (a) 0.3 (b) 9 (c) 0.1
a
What is the closest to 2/11 in -0.056, 2/15, 0.1, -152?
2/15
Which is the closest to -1/2? (a) -4 (b) 29/966 (c) 5
b
Which is the closest to -1? (a) 0.5 (b) 0 (c) -17465
b
What is the closest to -7 in -3, -2/3, 7/16466, -1?
-3
What is the closest to -1 in -4, 48, 0.2, 63.9?
0.2
What is the closest to 9/5 in 0, 7, -2/15, 1/6, 0.2?
0.2
Which is the nearest to -1/3? (a) 9/7 (b) 5 (c) -0.04715 (d) 4
c
Which is the closest to -0.07? (a) 1/10 (b) 1.8 (c) 1/2 (d) -1/5
d
What is the closest to 1 in 0.2, 0, 2/9, -1/2, 1/64?
2/9
Which is the closest to -4/11? (a) 3/109 (b) -1 (c) -0.1
c
Which is the closest to 0? (a) 2/7 (b) -133 (c) 3 (d) -136
a
Which is the nearest to -1/614? (a) 32 (b) -5 (c) 0.3
c
Which is the nearest to -1? (a) 2 (b) 3/2 (c) -25/4
b
What is the closest to 2 in 5/7, -0.2, -2, 5, -5?
5/7
Which is the closest to 1? (a) -4 (b) -4/723 (c) -0.2
b
Which is the closest to 0.7? (a) 4 (b) -2/111 (c) -6
b
Which is the nearest to -175? (a) 2/3 (b) -3 (c) -7 (d) 6 (e) -2/5
c
What is the closest to -1 in -0.074, 0, -3, -20, 3?
-0.074
Which is the closest to -1/4? (a) -0.1 (b) 4.4 (c) 4/9 (d) 11 (e) 0.1
a
What is the closest to -33/4 in -6, -1, -3, 1?
-6
Which is the closest to -2? (a) 2 (b) 0.01 (c) -5 (d) 2.4
b
What is the closest to -2/3 in 1/3, 0, 0.5, -98?
0
Which is the closest to -0.1? (a) 0.5 (b) -273.9 (c) 1 (d) 2
a
What is the closest to 1 in 5, 0.25, 3627?
0.25
Which is the nearest to 1? (a) -5 (b) 25/18 (c) 0.1 (d) 3/7
b
Which is the nearest to 2/5? (a) 3/5 (b) 1 (c) 4/7 (d) 291/5929
c
Which is the closest to 1? (a) 1/2 (b) -40/403 (c) 3/7 (d) 3
a
Which is the nearest to 3? (a) -5 (b) -15348 (c) 1
c
Which is the nearest to 0.2? (a) 0.5 (b) 3/4 (c) -1.5 (d) 0.09
d
What is the nearest to 73/4 in -2/29, -4, 0.2?
0.2
Which is the closest to 1? (a) 206 (b) 2 (c) 0.3 (d) -4/7
c
What is the closest to -0.5 in 0.1, 3/2, -1, -2?
-1
What is the closest to 0 in 4/5, -2/327, -0.016, 0.4, -3?
-2/327
What is the nearest to -2/7 in -0.09, -3, 0.13, 1.1?
-0.09
What is the closest to -0.15 in -2/9, -1/23, -1, 11, -1/8?
-1/8
What is the closest to -0.02 in -0.3, 2/3, -7?
-0.3
What is the closest to -0.33 in 0.6, 6/5, -0.47?
-0.47
Which is the nearest to -14693? (a) -0.3 (b) 0.1 (c) 1/3
a
Which is the nearest to 1/4? (a) -1 (b) -5 (c) 189 (d) -2/3 (e) -65
d
What is the nearest to -1.9 in -11, -2, -5?
-2
Which is the nearest to 5? (a) -4 (b) -924/5 (c) 3/7
c
Which is the closest to 1.01? (a) -2/7 (b) -4 (c) 4
a
What is the closest to 0 in -26, 395, 3/5?
3/5
Which is the nearest to -1/2? (a) 1 (b) 13/15 (c) 5
b
What is the nearest to 0 in 2/21, 4/3, -4/5, 2/21155, -1/3?
2/21155
What is the nearest to 1/4 in 0.2, 818/13, -5, 2/13?
0.2
Which is the closest to 0? (a) -6.33 (b) -67 (c) 0.4
c
What is the nearest to -0.1 in -8, -2/13, -27, -3?
-2/13
Which is the closest to 0.1? (a) -2/7895 (b) 0 (c) 1/3 (d) 0.3
b
What is the closest to 0.1 in 5, -20/13, -5, -6?
-20/13
What is the nearest to 0 in -0.04, 1/76, -4, 44?
1/76
What is the closest to -51 in -0.4, 0.5, -1/6, -2/3, -7?
-7
Which is the nearest to -0.02? (a) 3/2 (b) 0 (c) -127/5
b
Which is the closest to -75? (a) 1 (b) 1/7 (c) -1/10 (d) 0.2 (e) -5
e
Which is the nearest to -2/7? (a) 3.273 (b) 5 (c) -6
a
Which is the nearest to -57? (a) 3/8 (b) -5/3 (c) -2 (d) 10
c
What is the closest to -0.1 in -1, -0.2, 12.6, -0.01, 6?
-0.01
Which is the closest to -1? (a) 3 (b) 1/6 (c) -0.033 (d) 0.3
c
Which is the closest to 1? (a) 0.1 (b) -3
|
{
"pile_set_name": "DM Mathematics"
}
|
hich is the closest to -0.1? (a) -2 (b) m (c) p
c
Let s = 27.5 + -22.5. Let d = 0.3 - 0.1. What is the closest to -1 in s, d, 2/5?
d
Let o = -88 + 76. Let y be (-6)/(-15)*((-28)/o)/(-7). What is the closest to -2 in -5, y, -1/6?
-1/6
Let v = -658/3 - -219. Which is the closest to -0.1? (a) 1 (b) v (c) -0.5
b
Let l = 36.9 + -37. Let p = -2 + -6. Let g = p - -8.1. Which is the nearest to g? (a) -0.4 (b) -5 (c) l
c
Let o = -48 + 48. What is the nearest to -3/4 in o, -5, 1?
o
Suppose 4*x + 20 = -4*m - 0, -5*m + 3*x - 9 = 0. What is the closest to 1/4 in 7, 2/11, m?
2/11
Let v be (0 + 0)/(-1 + -3). Suppose 4*d - 9*d + 25 = v. Which is the closest to 2? (a) d (b) -3 (c) -2/7
c
Let i = -7 - -6.9. Let x = -9 - -13. Suppose v - 3*j = 1, -4*v - x*j + j - 26 = 0. Which is the nearest to i? (a) 0.3 (b) 5 (c) v
a
Let l = -0.162 - -0.462. Which is the nearest to 2/3? (a) 0.6 (b) l (c) -0.3 (d) 1/4
a
Let v = -77 - -137. Let w = v + -59.8. Let z = -18 + 124/7. Which is the nearest to 2? (a) 0.3 (b) w (c) z
a
Let o = 920 - 2764/3. Which is the closest to 1/10? (a) 1/3 (b) 1/4 (c) o
b
Let k = -38 - -41.1. Let r = k + -3. Suppose 0 = 4*j - 0*j + 5*w + 4, 2*w = 0. Which is the nearest to 2/7? (a) 1/2 (b) j (c) r
c
Let p = 598.9 + -599. Which is the closest to p? (a) -3 (b) 5 (c) -1/2 (d) 0.1
d
Let v = -540.1 + 540. Let u = -5 + 4. Which is the closest to -2? (a) u (b) -4 (c) v
a
Let j = 101.3 - 109. Let d = -7.3 - j. Which is the closest to 0? (a) d (b) 0.5 (c) 2
a
Suppose 3*y - 7*p = -3*p + 31, -17 = -y + 3*p. What is the nearest to -5 in 0.5, 3, y?
0.5
Let z = -106.1 - -106.3. What is the nearest to 1/9 in -0.2, 7, z, 1?
z
Let i = -10143 - -10138. Let u be (-2)/(-12) + 2/3. Which is the nearest to -1? (a) -2 (b) u (c) i
a
Suppose -5*z - 12 = 3*h, -4*h - 8 = 58*z - 54*z. Let k be -3*(-8)/84*1. Which is the nearest to -1/3? (a) 4 (b) k (c) h
b
Let q = 1/3 - 1/12. Let n = 7.98 + -9.98. Which is the nearest to 2? (a) q (b) 0.4 (c) n
b
Let a = 14 - 72/5. Let j = 1.7 - 2. Let t be 8/5 + -4 + 2. What is the closest to a in j, -0.1, t?
t
Let u = -1067/4 + 268. Let z = 500.3 - 500. Which is the nearest to -0.1? (a) -4 (b) z (c) u
b
Let w be (11/((-220)/12))/(9/2). Let q be (-44)/96 + (-3)/(-24). Which is the closest to -0.07? (a) w (b) q (c) 0.5
a
Let m = -3421 + 3419. Let n = -2.6 + -0.4. What is the nearest to 0.3 in m, -0.03, n?
-0.03
Let d be 75/35 + 1 + 3 + -7. Suppose 0 = -3*h - 0*h - 15. What is the closest to -0.1 in h, d, 1?
d
Let n be (12/(-168))/(2/16). What is the nearest to -3 in 5, 0.06, n?
n
Let i = -4.209 + 0.209. What is the closest to -2 in -0.1, i, -1/4, 1?
-1/4
Let j = -5 - -4. Let g be 10/75 + (-94)/30. What is the nearest to -2/7 in -4, j, g?
j
Suppose 2*s = -3*b - 12, 4*b - 3*s = -6*s - 17. Let f(x) = -x**2 - 24*x - 95. Let y be f(-19). What is the nearest to b in y, 0.5, -2?
-2
Let w = -20.7 - -21. Let p = 2.1 + w. Let q = p - 1.9. What is the nearest to 0.2 in q, 1, -1?
q
Let g be 105/245 - (-64)/14. Which is the nearest to 1? (a) 1 (b) g (c) -15
a
Let r be 2 + ((-9)/(-6) - 2). Let n(x) = x**3 - 6*x**2 - 6*x - 8. Let l be n(7). Let o be 39/(-18) + 7 + -5. What is the nearest to l in r, 1/6, o?
o
Let f = -1.6 - -9.6. Let l = 7 - 15. Let m = f + l. What is the closest to -0.2 in -0.5, -1/9, m?
-1/9
Let o = -130061/4107 + 2/1369. Let r = 32 + o. Let c = 1068/7 - 152. What is the nearest to r in -2/3, -2/15, c?
c
Let r = 29.5 + -35.556. Let d = r - -0.056. Which is the nearest to 0? (a) d (b) -4/9 (c) 3/8
c
Let p = -31 + 35. What is the nearest to 2/7 in -0.4, 9, p?
-0.4
Let l = 2.45 - 2.55. Let r = -3 - -2.8. Which is the closest to r? (a) l (b) -3 (c) -1/4
c
Let d = -463/2 + 231. Which is the nearest to d? (a) 1/2 (b) -2/11 (c) 3/2
b
Suppose -4*y + 5*d + 64 = 0, -4*y + 10*d + 64 = 15*d. Suppose -2*f - y = 2*r, -7 = r + 2*f + 4. Which is the closest to -6? (a) -1 (b) r (c) 4
b
Let k = 0.0478 - -16.9522. What is the nearest to -1 in 4, k, -1, -5?
-1
Let r = -4.6 + 5. Suppose 0 = -5*o + 58 - 313. Let s = o + 665/13. Which is the nearest to s? (a) r (b) -1/3 (c) -4
a
Let w = -13 + 17. Let t(g) = -g**3 - 3*g**2 + 10*g - 1. Let r be t(-5). What is the nearest to r in 35, w, -2?
-2
Let s(f) = -10*f - 61. Let c be s(-6). What is the closest to 2/13 in -0.2, c, -0.4?
-0.2
Let i = 227/15 - 15. Which is the nearest to 1/3? (a) i (b) 6 (c) 11
a
Let r = 801 + -799. Let g = 10 + -7. What is the nearest to r in 1/4, g, -2/3?
g
Let x = -0.9 + 0.8. Let r = -0.06 + 0.13. Let t = r + -0.07. What is the nearest to t in 2, x, 5?
x
Let u = 0.67 - -4.23. Let a = u - 5. What is the nearest to a in 5, -2, -4?
-2
Let z = -30 - -27. Let b = -7 + 2. Let p = -4.57 - -4.77. What is the nearest to z in p, 1/2, b?
b
Let q = 0.0097 + 0.4903. What is the nearest to q in -1/6, -1, -32?
-1/6
Let b = -22 + 16. Let i be -1*2/9 + 12*(-10)/(-135). What is the closest to -1 in b, -4, i?
i
Let s = -0.0172 - -4.0172. What is the nearest to -0.1 in -2, 2, s, 0.3?
0.3
Let t = -168 + 169. What is the nearest to -26/15 in -4, t, 4?
-4
Let v(r) = r**3 - r**2 - 5*r + 6. Let q be v(3). Which is the closest to -0.4? (a) 2 (b) -5 (c) q
a
Let o = 2/545 - -1064/7085. Let i = -2/297 + -52/297. What is the nearest to 15 in -0.4, o, i?
o
Let v be (-7 + 41)/(1*2). Let z = v - 16. Let l = 0.2 + 0.8. What is the closest to l in 0, z, 3/5?
z
Let s be ((-45)/(-60))/((-3)/(-2)). Let l be (-5)/(-30) - 10/6. Which is the closest to s? (a) -0.03 (b) l (c) 0.4
c
Let z = -15639 + 15640. Let t = -0.25 + -0.05. Let w = -0.02 - -6.02. Which is the nearest to w? (a) z (b) 2 (c) t
b
Let k = -4.0017 + 0.0017. Let j(a) = -a**2 - a + 1. Let g be j(0). Let v = 0 + g. What is the nearest to v in -2/9, k, 5?
-2/9
Let g = 93 - 467/5. Let t be ((-20)/15)/((-20)/6). Suppose l = 9*l - 24. What is the closest to t in g, 0.2, l?
0.2
Let g = -1622 - -1624. What is the closest to g in 0.2, -0.149, -1/6?
0.2
Let v = -121 - -115. Which is the nearest to v? (a) 23 (b) -1/9 (c) 0.1
b
Let p = -0.339 - 0.061. Which is the nearest to 0.2? (a) p (b) -10 (c) 4 (d) -3/5
a
Let l = -9.9 - -10. Let i = l - -10.9. Let r = i - 10.5. Which is the closest to 0.1? (a) 3 (b) r (c) 1
b
Let a = 329 + -329. Let l = -2 + 3. Let g(x) = -x**3 - 3*x**2 - 2*x - 4. Let w be g(-3). What is the closest to a in 0.4, w, l?
0.4
Let c = -3.29 + 0.29. What is the nearest to 3/2 in 1/5, 0, c?
1/5
Let o be 2/4*(-8)/(-1). Suppose 0*v - o*x = -5*v + 25, 0 = 2*v + 5*x - 43. Suppose v*j = 4*j - 5. Which is the nearest to j? (a) 0.3 (b) 0.2 (c) -5
b
Let g(u) = -4*u - 31. Let s be g(-8). What is the closest to s in -1, 57, -5?
-1
Let l = 2 - -1. Suppose 0 = -d - 2*y - 5, 3*d - 2 = d + 2*y. Let v = -0.2 - -0.3. Which is the closest to d? (a) v (b) l (c) -3
a
Let b be (9 - 3)*2/4 - 7. Suppose 5*n - 7*n = 2. Suppose -4*h + t = 3 + 1, 0 = 2*h + 4*t + 20. What is the closest to n in h, 0.3, b?
h
Let f = -0.6 - -4.1. Let x = f + -3.8. What is the closest to -1/4 in -0.4, x, 5?
x
Let l = 16 - 18. Let c be ((-2)/10)/(40/(-50)). What is the closest to 3 in 0, c, l?
c
Let u = 162 - 233. Let s = u - -66. What is the closest to 2/3 in -3, s, -0.02?
-0.02
Let l = -163/36 - -25/12. Which is the nearest to -1? (a) 1/5 (b) l (c) -0.3
c
Let u = -1951 + 1951.07. Which is the closest to 0.2? (a) -0.1 (b) -3 (c) -2 (d) u
d
Suppose 5*r + 10 - 5 = 0. Which is the nearest to r? (a) -0.14 (b) 2/7 (c) 4
a
Let j be -2 - -3 - 2 - -2. Suppose 5*p + 1 = -2*u, 4*p - 6*u + 12 = -2*u. What is the closest to 1 in j, p, 1/2?
j
Let y = -184.8 + 185. Which is the closest to 1/2? (a) 3 (b) -4 (c) y (d) 4
c
Let x = -464.1 - -464. Which is the nearest to -5? (a) x (b) -0.09 (c) 5
a
Let l = -32 + 21. Let y = l + 12. Suppose 0 = -0*z - z - y. Which is the nearest to -1? (a) -0.2 (b) z (c) 1
b
Let y = -0.8 - 7.2. What is the closest to y in -0.4, 1/12, -1/3?
-0.4
Let g be 1 - (5 + -6 - -3). What is the nearest to 0.2 in g, -2/9, 1, -0.3?
-2/9
Let u = -1549 + 1549.3. Which is the closest to -1? (a) 4/5 (b) u (c) -77
b
Let s = -402 - -401.7. Let h = -1.05 + 0.05. Let c = h - -0.5. What is the closest to 1/4 in -3/8, c, s?
s
Let o be 2 - (-4 + 114/18). Let p = -4 - -3.2. Let l = -1 - p. Which i
|
{
"pile_set_name": "DM Mathematics"
}
|
= i. Let v(t) = -t. Let r(z) = 3*j(z) + 2*v(z). Let f(a) be the second derivative of a**3 + 10*a. Calculate f(r(o)).
6*o
Let o(n) = -2*n. Let l(g) = -17*g**2 - 13. Let d(y) = 8*y**2 - 4*y**2 + 1 + 2. Let h(q) = 26*d(q) + 6*l(q). Determine o(h(a)).
-4*a**2
Let z(d) be the first derivative of -d**2/2 - 8. Let m(q) = -2*q**2. What is z(m(s))?
2*s**2
Let s(p) = -55*p. Let f(y) = 11*y**2. Determine s(f(d)).
-605*d**2
Let f(n) = 2*n**2 + 0*n**2 + 0*n**2. Let c(b) = b**2 - 4*b. Let q be c(4). Let j(z) = -3*z**2 + 0 + q. Determine f(j(h)).
18*h**4
Let q(g) = 3*g - g - 4*g. Let l(x) = 7*x - 3. Let y(h) = -1. Let o(n) = -l(n) + 3*y(n). Give q(o(r)).
14*r
Let u(h) = -28*h + 10. Let m(k) = 9*k - 3. Let l(b) = 10*m(b) + 3*u(b). Let g(d) = -16*d. Give g(l(r)).
-96*r
Let i(k) = -3*k. Let o be 3 - -10*1/(-2). Let d(f) = -5*f. Let x(z) = -z. Let r(p) = o*d(p) + 9*x(p). What is r(i(s))?
-3*s
Let c(d) be the first derivative of d**3/3 - 1. Let g(l) be the first derivative of 2*l**3 + 12. Give g(c(s)).
6*s**4
Let u(x) = 26*x. Let v(g) = 75*g**2. What is u(v(r))?
1950*r**2
Let w(r) = -13*r**2. Let g(t) = 109*t. Give w(g(b)).
-154453*b**2
Let u(r) = r. Let m(q) = 388*q. What is m(u(n))?
388*n
Let y(m) = 8*m**2 - 11. Let s(n) = 5 + 6*n**2 - 3*n**2 - 9. Let b(o) = 11*s(o) - 4*y(o). Let x(u) = u**2. Give b(x(g)).
g**4
Let q(i) = -3*i**2. Let p(z) be the third derivative of 0 + 0*z - 3*z**2 + 0*z**4 - 1/60*z**5 + 0*z**3. What is p(q(b))?
-9*b**4
Let k(u) be the first derivative of u**4/12 - u**2 + 1. Let n(q) be the second derivative of k(q). Let z(j) = -2*j. Calculate n(z(i)).
-4*i
Let k(d) be the second derivative of -d**4/6 + 4*d. Let w(j) = -j. Determine k(w(h)).
-2*h**2
Let a(h) = 2*h. Let q(f) = -62*f - 3. Determine a(q(k)).
-124*k - 6
Let r(u) = -3*u**2. Let i(d) = 2774*d. Calculate i(r(j)).
-8322*j**2
Let a(c) = 6*c. Let m(r) = -r**2 + 3*r**2 + 4 - 4*r**2 - 1. Let k(w) = -w**2 + 1. Let o(y) = 3*k(y) - m(y). Determine o(a(u)).
-36*u**2
Let c(r) = -2*r. Let f(q) be the first derivative of 61*q**2/2 - 4. What is f(c(y))?
-122*y
Let q(z) = 5 - 5 - 3*z. Let k(w) = w**2 - 57*w + 57*w. What is q(k(b))?
-3*b**2
Let d(i) = 4*i**2. Let y(k) be the second derivative of -k**4/3 + 6*k. Calculate y(d(m)).
-64*m**4
Let o(g) = -31*g**2. Let s(x) = 9*x. What is o(s(d))?
-2511*d**2
Let z(b) = 16*b**2 - 4 + 4 - 15*b**2. Let t(x) = -26*x**2. Calculate t(z(k)).
-26*k**4
Let o(c) = -2*c. Let w(r) = 4*r. Let d(j) = -9*j. Let y be 5/(35/(-2))*-7. Let q be (-27)/(-2) - 1/y. Let a(m) = q*w(m) + 6*d(m). What is a(o(h))?
4*h
Suppose 0*g = -g. Let n(p) = p + 0*p + g*p. Let c(o) = o. What is c(n(u))?
u
Let y(u) = u**2. Let h(c) = -11*c + c + 2*c. Give h(y(i)).
-8*i**2
Let z(x) = -2*x + 4*x + 0*x. Let t(a) = 13*a - 7. Let g(u) = 7*u - 4. Let h(k) = 7*g(k) - 4*t(k). Let j(b) = -b. Let r(n) = 3*h(n) - 12*j(n). Determine r(z(w)).
6*w
Let a(v) = 1. Let i(y) = 2*y. Let r(z) = -6*a(z) + i(z). Let n(t) = -2*t**2. What is n(r(q))?
-8*q**2 + 48*q - 72
Let k(i) = 3*i. Let t = -17 - -17. Let a(b) be the second derivative of b + 1/6*b**3 + t*b**2 + 0. Calculate k(a(j)).
3*j
Let q(t) = 7*t. Let j(p) = 2155*p**2. Give q(j(h)).
15085*h**2
Let m(h) = 2*h**2 + 1076. Let i(g) = 3*g. Determine m(i(s)).
18*s**2 + 1076
Let a(c) = -c. Let m(h) = 813*h**2. Determine m(a(b)).
813*b**2
Let d(z) = -39*z + 27. Let j(n) = 3*n - 2. Let y(c) = -2*d(c) - 27*j(c). Let g(o) = -4*o. Give y(g(l)).
12*l
Let x(i) = i**2. Let m(d) be the second derivative of d**4/3 - 4*d. Give m(x(y)).
4*y**4
Let a(f) = 51*f**2. Let t(q) = 0*q**2 + 11*q**2 - 10*q**2. What is t(a(d))?
2601*d**4
Let u(q) = -9*q + 3. Let f(b) = -b - 1. Let w(r) = -r - 2. Let n(c) = 4*f(c) - 2*w(c). Calculate u(n(h)).
18*h + 3
Let d(a) = -483 + 483 + a. Let m(l) = -37*l**2. Give d(m(q)).
-37*q**2
Suppose -4*z = 3*s - 15, -2*z + 3*z = -3*s + 15. Suppose 0 = -3*m + a + 8, -m + s*a - 2 = 0. Let r(i) = 0*i - m*i + 5*i. Let u(w) = w. Give u(r(q)).
2*q
Let g(p) = p**2 - 3. Let u(j) = 3*j**2 - 8. Let s(v) = 8*g(v) - 3*u(v). Let k(q) = -36*q. Calculate s(k(o)).
-1296*o**2
Let c(o) = -3*o**2. Let z(n) = -32*n**2 - 16*n + 32. Let a(t) = -t**2 - t + 2. Let h(b) = -16*a(b) + z(b). Calculate c(h(k)).
-768*k**4
Let k(j) = j. Let g(z) = 2*z. Let y(i) = -g(i) + 6*k(i). Let l(d) = 3*d + d**2 - 3*d. Calculate y(l(r)).
4*r**2
Let t(z) = 2*z. Let c(p) = 10*p - 3. Let s(o) = 41*o - 13. Let x(b) = -26*c(b) + 6*s(b). Give x(t(f)).
-28*f
Let d(l) be the second derivative of -7*l**3/6 - 15*l. Let m(v) = v. Let w(c) = -2*c. Let i(z) = -9*m(z) - 4*w(z). Give i(d(a)).
7*a
Let s(x) = 2*x. Let g(i) = 9*i. Let y(t) = 4 + 32*t - 4 - 5*t. Let k(o) = -17*g(o) + 6*y(o). Determine k(s(c)).
18*c
Let k(w) = -5*w**2. Let j(a) be the second derivative of -a**4/12 - a**3/6 - a**2/2 + 2*a. Let h(p) = -3*p**2 - 2*p - 2. Let n(t) = h(t) - 2*j(t). Give k(n(r)).
-5*r**4
Let a(b) = b. Let j(k) be the second derivative of -k**4 + 7*k**2/2 + k. Let i(n) = -6*n**2 + 3. Let m(x) = -7*i(x) + 3*j(x). Determine a(m(y)).
6*y**2
Let y(n) = 29*n**2. Let p(a) = -2*a. What is y(p(x))?
116*x**2
Let j(x) = -x. Let m(n) = 6*n. Let g(t) = -t**2 - 7*t - 4. Let l be g(-7). Let a(s) = -5*s. Let z(o) = l*a(o) - 3*m(o). Give z(j(f)).
-2*f
Let h(c) = -850*c**2 - c. Let k(d) = 2*d. What is h(k(j))?
-3400*j**2 - 2*j
Let l(a) = 22*a. Let w(q) = 0*q + 11*q - 9*q. Determine w(l(c)).
44*c
Let f(h) = -h**2 - 12*h. Let k(v) = -3*v. What is k(f(x))?
3*x**2 + 36*x
Let y(f) = 11*f**2. Let a(z) = 3*z**2 - 4. Let w(d) = d**2 - 1. Let m(h) = a(h) - 4*w(h). Calculate m(y(g)).
-121*g**4
Let h(c) = -49*c**2 + 1. Let o(s) = -4*s. Determine o(h(f)).
196*f**2 - 4
Let z(p) = 9*p. Let j(c) = -c**2 - c - 1. Let t(u) = u**2 + 2*u + 2. Let w(d) = -4*j(d) - 2*t(d). Determine z(w(i)).
18*i**2
Let t(y) = 2*y + y - 4*y. Let j(f) = f**3 - 7*f**2 + 5*f + 8. Let w be j(6). Let n(u) = 4*u**2 + 2*u - w*u. Give t(n(c)).
-4*c**2
Let o(f) = 2*f. Let r(t) be the second derivative of -1/24*t**4 + 0*t**3 - 1/2*t**2 + 0 - 3*t. Let y(l) be the first derivative of r(l). Determine o(y(s)).
-2*s
Let o(d) = 3 + 14*d**2 + 6*d**2 - 3. Let c(z) = 2*z. What is c(o(s))?
40*s**2
Let g(v) = 0*v - 3*v - 2*v + 7*v. Let l(t) = 2*t. Calculate g(l(h)).
4*h
Let o(k) be the second derivative of -10*k**3/3 + 5*k. Let c(t) = -2*t**2. Calculate o(c(l)).
40*l**2
Let t(m) = m + 3. Let k(y) = -y - 5. Let s(u) = 3*k(u) + 5*t(u). Let o(b) = 220*b**2 - 117*b**2 + 0 + 0 - 109*b**2. Calculate s(o(w)).
-12*w**2
Let o(i) = -4 + 7 - 4 - 8*i. Let n(y) = y**2. What is n(o(h))?
64*h**2 + 16*h + 1
Let v(b) = 3*b**2 + 6*b. Let j(g) = 27*g**2. What is j(v(l))?
243*l**4 + 972*l**3 + 972*l**2
Let v(b) = -82*b - 1. Let n(h) = h. Give n(v(q)).
-82*q - 1
Let h(j) = -2*j. Let f(r) = -r - 1. Let u be f(-7). Let m(t) = 3*t - 3*t - u*t. Give m(h(x)).
12*x
Let j(z) = -z**3 + 9*z**2 - 9*z - 4. Let x be j(8). Let a = -8 - x. Let v(u) = u + u + a*u. Let d(q) = q**2. Give d(v(g)).
36*g**2
Let u(n) = -34*n - 29*n**2 + 19*n + 15*n. Let h(z) = z**2. Calculate u(h(s)).
-29*s**4
Let n(f) = 4*f**2. Let x(q) = 381*q. What is x(n(j))?
1524*j**2
Let u(t) = t**2. Let s(z) be the second derivative of 0*z**2 + 3*z + 0 - 1/6*z**3. Determine u(s(r)).
r**2
Let c be (4*(-3 + 2))/(-1). Let r(x) = c*x**2 - 2*x**2 + 0*x**2. Let n(j) = -6*j. Determine r(n(p)).
72*p**2
Let u(r) = 17*r. Let d(o) = o**2. What is d(u(a))?
289*a**2
Let s(z) = -z. Let k(o) = -567*o**2. Calculate k(s(g)).
-567*g**2
Let s(l) = -6*l**2. Let r(y) = -2*y**2 + 3*y. Let d(p) = -p**2 + p. Let b(t) = 3*d(t) - r(t). Determine s(b(o)).
-6*o**4
Let i(h) = 25*h**2. Let a(p) = -14*p. What is i(a(y))?
4900*y**2
Let q(b) = -5*b**2 - 7*b. Let s(x) = -2*x**2. Let t(r) = r**2. Let n(u) = -3*s(u) - 8*t(u). Determine q(n(w)).
-20*w**4 + 14*w**2
Let m(l) = -l**2 + 206*l. Let x(v) = v**2. Determine m(x(r)).
-r**4 + 206*r**2
Let u(h) = 11*h. Let w(g) = -g**2 - g + 1. Let o(d) = -4*d**2 - 2*d + 2. Let b(p) = -o(p) + 2*w(p). Determine b(u(y)).
242*y**2
Let y(h) = -18*h. Let q(m) = 6*m - 2*m - 5*m. Determine y(q(c)).
18*c
Suppose 0 = 5*v - v - 16. Let a(t) = -v*t + 2 - 2 + 2*t. Let x(m) = -4*m - 2. Let y(u) = 9*u + 5. Let b(q) = -5*x(q) - 2*y(q). Calculate b(a(r)).
-4*r
Let y(m) = 7*m. Let i(k) = -447*k. Calculate y(i(d)).
-3129*d
Let s(o) = -o - 3*o + 2*o. Suppose -3*c = c - v - 5, 5*c +
|
{
"pile_set_name": "DM Mathematics"
}
|
*o - n = -40 for o.
-4
Solve -3*n - 26 = -2*r, -185*r = -173*r + 2*n + 4 for r.
1
Solve 0 = -v - 2*c + 16, 4*v - 839 = 7*c - 835 for v.
8
Solve 2799*x = -4*p + 2802*x + 28, -5*p - 34 = -21*x for p.
10
Solve -3*q + 24 = 0, -11*u - 4*q = -7*q + 68 for u.
-4
Solve 12*d + 1 = 3*j + 10, 3*d + 2 = -0*d + 5*j for d.
1
Solve 2*a = -3074*u + 3078*u + 20, 5*u = -25 for a.
0
Solve -11*b + 5*s - s = 102, b + 18*s + 18 = 14*s for b.
-10
Solve 195 = -9*p + 7*v - v, -p = -v + 22 for p.
-21
Solve -321949*x = -321952*x - 4*q + 10, x + q = 3 for x.
2
Solve -15*p = -3*m + 48, 0 = 404*m - 382*m - p - 134 for m.
6
Solve 0 = 5*z - t - 220, 5*z - 2469*t - 2469*t = -4933*t + 220 for z.
44
Solve -3*n + 3*y - 1188169 = -1188037, 2*n - 5*y + 217 = 0 for n.
-1
Solve 3*s = 3*q - 15, 507934*q - 4*s = 507931*q + 20 for q.
0
Solve j + 4*u - 32 = 0, 4*u = 10*j + 145 - 113 for j.
0
Solve o = 3*h + 23, -7 = -3*h + 84676*o - 84681*o for h.
-6
Solve -6*z - 490*s + 133 = -2*z - 493*s, 3*s = 10*z - 319 for z.
31
Solve 4 - 13 = s - q + 7, -3*q = 6*s + 2*q - 36 for s.
-4
Solve 0 = 4*o + k + 102, -113*o + 90*k + 122 = -118*o + 86*k for o.
-26
Solve -138 = 163*h - 185*h + 2*f - 0*f + 2*f, 74 = 5*h - 7*f for h.
5
Solve 2*q = -9*a + 136, 0 = -4*a - q - 88939 + 89000 for a.
14
Solve 10*x + 5*h + 180 = 0, -936*h = -938*h - 4 for x.
-17
Solve -5*n = -2*n - 58*g - 464, -4*n - 1878*g + 40 = -1883*g for n.
0
Solve 4121*v - 4118*v - k = 28, -29*v + 5*k = -280 for v.
10
Solve v + 5*l + 3 = 0, 0 = 3*v - 5*l + 70 - 21 for v.
-13
Solve -17 = -3*a - 126*k + 127*k, -5*k = -74*a + 249 + 249 for a.
7
Solve 4*v - 118 + 118 = 0, -146*v = 4*f + 72 for f.
-18
Solve -5580*r + 5601*r + 5*h - 235 = 0, 4*r - 5 = 7*h for r.
10
Solve g = -3*p + p + 12, -6*p - 136*g + 134*g + 18 = 0 for p.
-3
Solve 3*x + s = -10, -26018641*s = -x - 26018637*s + 14 for x.
-2
Solve -18 = -3*m - 0*x - x, 0 = 1375517*m - 1375515*m + 5*x - 38 for m.
4
Solve 2476*o - 2*c + 3*c + 28 = 2481*o, 0 = -o - 4*c - 4 - 3 for o.
5
Solve 6*k - 4*k + 4*q + 6 = 0, 0 = -5*k - 2*q + q + 2 + 19 for k.
5
Solve 24*l - 44*l + 21 = -4*s - 91, 4*s = -3*l - 181 for s.
-43
Solve 0 = 3*s - 11*h + 8*h + 27, -570*h = 4*s - 567*h - 48 for s.
3
Solve 5*l = 5*q + 70, 3*l + q - 10 + 9 = 41 for l.
14
Solve -v + 20980 = 20974, -2*o + 13 = -7*o + 3*v for o.
1
Solve -16*g + 63 = 5*p, g + 0*g + 22*p - 6 = -3*g + 24*p for g.
3
Solve -z + 20 = -3*l - 0*z, -19 - 24 = 2*z + 20 - 67 for l.
-6
Solve -o + 50 + 62 = -5*l, 0 = 15*l - 6*l - 4*o + 206 for l.
-22
Solve 6271*i = 6273*i - 15*b - 954, 4*b = 5*i - 241 for i.
-3
Solve -5*i + 127*x - 101*x - 1062 = 410, -4*x = -4*i - 0*x - 220 for i.
2
Solve 3104*q + 3105*q - 85 = -5*r + 6204*q, -5*r - 19 = -47*q for r.
15
Solve -861*a = -863*a - 2*h - h - 138, 214 = 2*a - 5*h for a.
-3
Solve -l + k = 269114 - 268994, -k - 348 = 3*l for l.
-117
Solve 0 = a - 11*o - 94, 3*o + 0*o + 21 = -5*a - 31 for a.
-5
Solve 3*q = -4*y + 64, 6*q + 129*q - 605 = -5*y - 0*q for y.
13
Solve -42 = -2*t + 2*t + 2*t - 9*j, -56*j - 57*j + 2 = -112*j for t.
-12
Solve 5*i - 4*d = -3, 2*d + 3*d = 27*i - 10 - 7 for i.
1
Solve 9*g - 4*g - 2*h + 30 = 0, 5342*g + 2*h = 5345*g + 22 for g.
-4
Solve -56 = 2*m - 2*y, 0 = -21796*m + 21792*m - 6*y + 138 for m.
-3
Solve 2*v = 6*j - 1343666 + 1343688, 5*j = 4*v - 16 for v.
-1
Solve -6*j + 3*j + 6*d - 3 - 3 = 0, -998*j + 994*j = -6*d for j.
6
Solve 3*y + 761 = -389*r + 1524, -2*r - 3*y = 11 for r.
2
Solve 5745*p + 2*g = 5750*p - 23, 5*p - 29 = -4*g for p.
5
Solve -3*r - 65*q = -67*q + 1 + 1, -5*r - 2*q + 2 = 0 for r.
0
Solve p + 36*x - 41*x = -32, -2*p - 958 = -457*x for p.
-22
Solve 5*c - 7 = -j, 21*j = 644*c - 640*c + 38 for c.
1
Solve -2*s + 8 = 2*t, 3*t + 58 = -41*s + 32 for t.
5
Solve 4*s - 5*r + 3 = 0, s + r - 31 + 62 = -3 + 31 for s.
-2
Solve -q = -a + 87, 10697*q - 10694*q - 2*a - 490 - 151 = -10*a for q.
-5
Solve 4*b - 9*k + 66 = -26*b, -15*b + 73 = -10*b + 2*k - 0*k for b.
5
Solve 83 = 12*g + 3*s + 2*s + 257, 82 = 4*g - 3*s for g.
-2
Solve -h - 6*f - 13 = 0, -5*h + 57691*f = 57694*f - 16 for h.
5
Solve 3*m = 5*t + 7, -6*t - 7 - 10 = -12*t + 10*t + 9*m for t.
-2
Solve -3*d - 7*d + 132*g - 135*g + 88 = 0, 6 = -3*d - g + 32 for d.
10
Solve 12*a - 68 = 3*s + 4, -5*a + 723 = -4*s + 671 for a.
4
Solve 0 = -66*t + i - 4, -t - 2*i + 2353 - 2345 = 0 for t.
0
Solve y - 4*q = -68802 + 68825, -2*y + 5*q + 43 = 0 for y.
19
Solve 15184915*m - 15184914*m - 5*w + 120 = 0, 3*m + 3*w + 414 = 0 for m.
-135
Solve 5*g + 48*y - 2215 = -2*y, -6*g = -5*y + 90 + 112 for g.
3
Solve 0 = -17*t - 5*a - 250, -2*t - 6*t + 46 = -4*t - 2*a for t.
-5
Solve 748*t = 2*o + 742*t + 70, 22 = 2*t for o.
-2
Solve -129*u - o = -633 - 19, -118 = -2*u + 3*o - 129 for u.
5
Solve -402*g + 15*n = -406*g - 110, -6*g - 10 - 14 = -n - 0*n for g.
-5
Solve -5*u = 5*r + 30, 81529*u - 81532*u - 20 = 4*r for r.
-2
Solve -13673*q + 13662*q + 86 = s, -6 = -q - s for q.
8
Solve -c + 23 = -2*q, 2493 = 8*q - 3*c + 2582 for q.
-10
Solve 3*m + 45 = 3*q, -354*m - 5662 = 2068*q - 2070*q for q.
-1
Solve -7*m + 19 = -205*h + 208*h, -6*m + 9*h + 30 = 7*h for m.
4
Solve -533*i - 526*i = 4*w - 1058*i + 5, -5*i + 55 = 0 for w.
-4
Solve 4*p + 3 = -k, -295*k = -317*k - 5*p + 266 for k.
13
Solve 2*p + 1 = -7, -5*i = 12*p + 3350 - 3212 for i.
-18
Solve 0 = 10*q + 3*g - 8*g + 2*g + 174, 5*q + 98 = -4*g for q.
-18
Solve -35*x + 24*x - 93 = 3*c - 4*c, -222 + 237 = 3*c for x.
-8
Solve o + 37 = 195*d - 198*d, d - 6 = -4*o for d.
-14
Solve 5*z - 15 = -2*w, z + 23732*w = 23733*w - 11 for z.
-1
Solve -18*j + 24 = -c - 24*j + 10*j, -35 - 34 = 2*c - 11*j for c.
4
Solve -3*b - 6 = -f - 2*f, 2961*b - 3*f = 2959*b - 4 for b.
-2
Solve -9395 = 242*p + 19*p + u, 4*p = -17*u + 13*u - 55 - 85 for p.
-36
Solve u = 14*q - 6, 5*q - 9*u - 1431 = -690 - 687 for q.
0
Solve 0 = -409085*u + 409088*u + 2*p - 10, p + 28 = 4*u for u.
6
Solve 25*z + 2 = j + 22*z, -3*j - z - 22 = 4*z for j.
-4
Solve -4*t - 104 = -2*s, -t - 3*t + 78 = -7*t for s.
0
Solve 0*m - 2*b + 18 = 3*m - 8*m - 0*m - b, -7*b + 126 = 0 for m.
0
Solve -5*y - 7415 = -i - 7265, -3*y = -178*i + 90 for y.
-30
Solve 370*n = 7*a + 738*n - 367*n - 102, 4*a + 19*n = 3 for a.
15
Solve 4*d - 3*q = -52, -4700*q + 373 + 659 - 310 = -73*d - 4702*q for d.
-10
Solve 0 = -220*v + 247*v - 2*o + 43, o = 5*v + 13 for v.
-1
Solve -4*o + 5 = -4*o + o, i + 19*i - 10*i = -5*o + 55 for i.
3
Solve 5*w - 1193*q = -1188*q - 35, -w = 15*q - 73 for w.
-2
Solve 4*z - 173 = -17*g, 5*z - g + 108 = -2*z + 9*z + 29 for z.
39
Solve 5*r - 2*w - 3*w = 3 - 49 + 1, 15 = 3*w for r.
-4
Solve 4*p - 2*n = 26, 2*p + 2*n - 27392 = -27406 for p.
2
Solve -7*s = -n - 8, 58*n = -2*s - 58*n + 119*n - 2 + 7 for s.
1
Solve f - 17*c - 87 = 0, 4428*f - c = 4431*f - 1 for f.
2
Solve -13*p = -2*v + 570, -49338*p + 49337*p = 3*v + 47 for p.
-44
Solve -5*h + 776*d = 771*d + 39 - 4, 10*h - d + 43 = 0 for h.
-4
Solve 10*i + 7*h + 44 = 6*i + 5*h, -i + 5*i + 55*h = -256 for i.
-9
Solve 0 = -61835*v + 61837*v + 4*c + 36, 0 = -3*v - 4*c - 40 for v.
-4
Solve 0 = 3*v - 12, -22288*v + 44578*v + 7 = -3*w + 22288*v for w.
-5
Solve -150*g = -t - 146*g + 32, -81 = -4*t + 63*g for t.
36
Solve 2262*p + 40 = 2266*p - 5*r, 0 = -4*p - r - 32 for p.
-5
Solve -3*q - 38*k = 4*k - 161 - 134 + 94, 3*q - k = 29 for q.
11
Solve -19*y = 2*i - 24, -5*i - 1 = 4*y + 26 for i.
-7
Solve 1573*t - 2*i + 44 = 1576*t, 5*i - 47 = -4*t for t.
18
Solve -4*y + 13*n = -116, 104*n - 55 = -5*y + 109*n for y.
3
Solve 0 = 4*m + 3*o + 13, -1110*m + 554*m + 553*m + 2*o - 31 = 0 for m.
-7
Solve -3*i + 9 = 0, -7834*f - 39 = -7835*f - 9*i for f.
12
Solve 2*k + 0*k + 7*i - 28 + 35 = 8*i, -i + 19 = -4*k for k.
-6
Solve s = -2*s - 6*u - 9, 395*u - 201*u = 28*s + 198*u + 32 for s.
-1
Solve -2*z = -6*a - 262, -2*z = 37*a - 35*a + 74 for z.
5
Solve 3*v - 10 - 17 = -4*h - 76 + 12, 0 = -7*v - 3*h - 61 for v.
-7
Solve -8*g - 28 = 4*b, 34*b - 29*b = -3 - 2 for g.
-3
Solve -54*s + 19 = i + 116 + 30 + 86, -i = 5*s + 17 for s.
-4
Solve 0 = -18310*v + 18316*v + k + 47, -3*v - 23 = k for v.
-8
Solve -t + 4*q + 103 = 0, 4*t - 17*q + 37598 = 38037 for t.
-5
Solve -5*z + 4*m - 6 = 0, 3*z - 169*m = -188*m - 25 for z.
-2
Solve -3*o + 14 = -x + 2*x, -o + 4*x + 2309 - 2323 = -6*o for o.
6
Solve 5*l + 4*l - l + 4*i - 24 = -0*l + 3*l, 0 = 23*l - 4*i - 200 for l.
8
Solve 8
|
{
"pile_set_name": "DM Mathematics"
}
|
Let i(m) = -4*m - 3. Let u(n) = n. Let k be u(-5). Let a(p) = 3*p + 4. Let r(f) = k*i(f) - 4*a(f). Is r(3) a multiple of 18?
False
Let i = 12 + 9. Suppose 0 = 2*z + k - 21, 45 = 5*z - 2*k - i. Is z a multiple of 6?
True
Let a be (5 - 166)/(2/2). Let s = -86 - a. Does 25 divide s?
True
Let a = 10 + -3. Suppose -80 = 2*t - a*t. Suppose -3*k + 29 = -t. Is k a multiple of 9?
False
Suppose 0 = -2*c - 8, -2*h - 8 = h + 5*c. Does 3 divide h?
False
Let x(p) = 77*p + 14. Is x(2) a multiple of 12?
True
Suppose 5*g = h + 353, -5*h - 61 = 2*g - 3*g. Let t = g - 35. Suppose -4*a = -t - 76. Does 11 divide a?
False
Suppose -14*a + 18*a = 584. Is a a multiple of 27?
False
Is 10 a factor of (63/(-12))/((-5)/40)?
False
Let w(o) = -o - 7. Let q be w(-3). Is q*((-33)/6 + 2) a multiple of 7?
True
Let p = 266 + -145. Does 11 divide p?
True
Suppose -o = -2*y - 42, -5*o + 186 = -2*y - 0*y. Is o a multiple of 6?
True
Let a(u) = -u**3 + 4*u**2 + 6*u - 3. Let o be a(5). Let s(i) = 9*i - 3. Is 15 a factor of s(o)?
True
Let l be 5*(24/(-15) - -2). Let i(j) = l*j**2 - 3*j**3 - j**2 + 0*j**2. Is 2 a factor of i(-1)?
True
Let q be (2*1)/(1/2). Suppose -2*g + f + 5 = -q, -2*f - 6 = -g. Suppose g*a = 30 + 118. Is 13 a factor of a?
False
Let u = 3 - -5. Let b be 22/(-10) + u/40. Is 17 a factor of 2*((-65)/b + 1)?
False
Suppose 0 = -2*f + 6*f. Let z be 128/56 - 4/14. Suppose f = -z*d + 4*d - 10. Does 5 divide d?
True
Let r = -105 + 158. Is 10 a factor of r?
False
Suppose -3*h + 2*n + 18 = 0, 3*h = -0*h - n + 9. Is 5 a factor of 32/h - 4/(-2)?
True
Suppose -5*x + 130 + 5 = 0. Does 3 divide x?
True
Let w be ((-3)/(-2))/((-1)/(-4)). Let g(k) be the second derivative of -k**4/12 + 3*k**3/2 - 7*k**2/2 - 3*k. Does 4 divide g(w)?
False
Does 13 divide (-30)/(-7)*35/5?
False
Is 4/(-10) - (-364)/35 a multiple of 2?
True
Let q = 0 - 0. Suppose -25 = -o + 5*p, -4*o + o - p + 123 = q. Is o a multiple of 13?
False
Suppose -3*v + 0*w + 171 = w, -4*v - 2*w + 230 = 0. Suppose 2*q - v - 14 = 0. Suppose -u + q = 2. Is 12 a factor of u?
False
Let v = -87 + 127. Is 10 a factor of v?
True
Let s be 0/1 - 6/1. Let a = s + 9. Suppose 0*n + 48 = 4*z + a*n, -n + 4 = 0. Is 4 a factor of z?
False
Let j(i) = i**2 + 6*i + 7. Let m be j(-5). Let f be (-28)/6*-3*m. Suppose -q + f = -4*r, 4*q - 5*r - 41 = 27. Does 5 divide q?
False
Let a = -46 - -126. Is a a multiple of 5?
True
Suppose 421 = 3*x - 4*y + 5*y, -x - 2*y + 142 = 0. Suppose 5*s + 5*w = x, -s + 5*w + 60 = 2*s. Is s a multiple of 9?
False
Suppose 30 + 30 = 5*t. Suppose -128 = -4*b - t. Suppose -4*u - 2*m + 11 = -b, 44 = 5*u + m. Is u a multiple of 4?
True
Let d(t) = t**2 - 20*t - 12. Does 14 divide d(24)?
True
Let v(q) = -16 + 10*q + 3 - q**2 + 1. Let x be v(9). Is 2 a factor of 5*(0/x + 1)?
False
Let b(g) = 16*g - 4. Is b(7) a multiple of 36?
True
Is (-984)/(-40) + (-4)/(-10) a multiple of 25?
True
Suppose 0 = 4*q - 61 - 51. Does 14 divide q?
True
Let c(p) = -2*p - 1. Let q be c(-2). Suppose -2*f - 62 = -g, 303 = -g + 6*g - q*f. Is 9 a factor of g?
False
Let a(p) = -2*p + 4. Does 4 divide a(-6)?
True
Let n(t) = t**3 - 5*t**2 - 4*t - 7. Let o(q) = 2*q**3 - 3*q**2 + q. Let w be o(2). Let g be n(w). Suppose 115 = 5*i + g*u, 3 - 20 = -i + 2*u. Does 7 divide i?
True
Let q(z) = -28*z - 3. Let b be q(-3). Let u = b - 49. Let i = u + -18. Is i a multiple of 14?
True
Let u = 74 - 22. Let h = u - 33. Is h a multiple of 5?
False
Let f be (-16)/(4/42*3). Is (5/(-4))/(2/f) a multiple of 12?
False
Let f be 9*((-7 - -5) + 8). Let t = -1 - -24. Let j = f - t. Does 9 divide j?
False
Suppose 5*a = 2*a - 9. Does 11 divide -1 + (a - (-29 - -3))?
True
Suppose 3*s + 5*w = 34, -5 - 4 = -s - 4*w. Is s a multiple of 13?
True
Let o(m) = -18*m + 16. Does 14 divide o(-3)?
True
Suppose -7*j + 4*y = -6*j - 22, 2*j + 1 = -y. Suppose -6*q + 16 = -j*q. Does 4 divide q?
True
Let g(a) = -8*a**2 - a**3 - 4*a - 4 + 2*a**2 + 0*a**2. Is g(-6) a multiple of 10?
True
Let k = 84 - 29. Suppose -k = -4*x + 17. Suppose 0 = -b - 4 + x. Is 14 a factor of b?
True
Suppose 0 = 2*q - q - 57. Is q a multiple of 19?
True
Let x(g) = -17*g + 1. Is 18 a factor of x(-1)?
True
Let l = 253 + -100. Does 17 divide l?
True
Let v be 0 + -3 + (-3)/3. Let c = 7 + v. Does 6 divide (-2)/c + 60/9?
True
Let g = -83 - -139. Is 10 a factor of g?
False
Let t be -1*15*1/(-3). Suppose 0 = t*q - q - 148. Does 22 divide q?
False
Let y(f) = 2*f**3 + 4*f**2 + 5*f + 8. Is y(4) a multiple of 20?
True
Suppose -q + 83 = -5*k, 0 = -4*q + q - 3*k + 159. Is q a multiple of 13?
False
Let d = -26 + 44. Suppose p + 9 = -d. Is 13 a factor of (1 - (p + 0)) + -2?
True
Let s(f) = -99*f - 1. Let u be s(-3). Suppose 3*w = 5*w + u. Let r = -89 - w. Is r a multiple of 17?
False
Let p(x) = x - 45. Let i be p(0). Let w(u) = u**2 - 6. Let k be w(0). Does 10 divide (8/k)/(6/i)?
True
Let n = -4 + -5. Is 11 a factor of (6/n)/2*-111?
False
Let h(t) = -5*t**2 + 3*t + 2. Let f be h(3). Let p = f + 48. Does 10 divide p?
False
Suppose 0 = s - 8*s + 875. Is s a multiple of 35?
False
Is 17 a factor of (90/12)/((-3)/(-18))?
False
Is 2 a factor of 9/(-7) + 1 + (-1060)/(-35)?
True
Let s be 4/(-18) + (-173)/(-9). Suppose -4*c + 6 - 3 = -j, 3*j = 2*c - s. Let x = j - -17. Does 8 divide x?
False
Suppose 5*q - 6 = 9. Suppose -7 = -q*p + 5. Is p a multiple of 3?
False
Let h = 2 + 0. Suppose 5*f - h*f + 6 = 0. Let m = 5 - f. Does 7 divide m?
True
Suppose 4*c - 4*l = 688, 5*c - 4*l = 569 + 294. Does 25 divide c?
True
Let o(n) = 24*n**2 + 3. Let w be o(3). Suppose 201 = 5*s - w. Is 28 a factor of s?
True
Suppose -5*m + 5*b = 3*b + 90, -4*m + 2*b - 74 = 0. Let n = -2 - m. Is n a multiple of 14?
True
Suppose 3*c - 4*c + 3 = 0. Suppose 43 + 77 = c*a. Is a a multiple of 14?
False
Suppose 0 = t - 4 + 2. Let c = 2 - t. Suppose 5*a - 150 = -c*a. Is 15 a factor of a?
True
Suppose c - m - 2*m + 9 = 0, -32 = -4*c - 5*m. Suppose c*n = -5*h + 7, -2*n = -3*h - 4 - 7. Does 3 divide 1/(n/3 - 1)?
True
Suppose -15*r + 348 = -3*r. Is 9 a factor of r?
False
Let w(j) = 16*j**3 - j**2 - 2*j + 1. Let d be w(2). Let f = 73 - d. Let b = f + 68. Is b a multiple of 12?
False
Suppose -3*u - 6 = -39. Let b(h) = 8*h - 5. Let a be b(5). Suppose a = 3*t + u. Is 4 a factor of t?
True
Suppose -g + 3*g = -3*y + 113, -2*g = -5*y - 89. Suppose 5*v - 5 - 10 = 0. Suppose v*n + g = 5*n. Is n a multiple of 13?
True
Suppose 3*x + 3*y + 6 = -0*x, -3*y = -5*x + 6. Suppose 0*m - 2*m + 90 = 0. Suppose x*i + m = 5*i. Is i a multiple of 9?
True
Suppose 8*d = 5*d + 6, 3*a + 4*d = 149. Is a a multiple of 9?
False
Suppose 0 = -11*c + 6*c + 210. Is c a multiple of 6?
True
Let p(f) = -9*f + 3. Does 15 divide p(-4)?
False
Suppose -81 = -5*h + 69. Is h a multiple of 10?
True
Suppose -5*o - 2 = -7. Let t = o + 29. Is t a multiple of 30?
True
Let f(x) = -2*x + 13. Let u(n) = -n + 4. Let v(k) = -4*f(k) + 14*u(k). Let j be v(-5). Let g = j - 15. Is 19 a factor of g?
True
Let s = 5 + -3. Let r(d) = 5*d**2 - 2*d**s + 3 - 8*d + 0. Does 14 divide r(5)?
False
Let a(y) = -y**2 - 7*y + 11. Let g be a(-8). Suppose 0 = u - g + 1. Does 2 divide u?
True
Suppose -5*n = -6*n + 14. Let l = n - -19. Does 11 divide l?
True
Suppose 2*w + 2*z - 67 = z, -5*w = 2*z - 167. Suppose -m + 9 = -2*m. Let g = m + w. Does 12 divide g?
True
Is 1/1*(35 + 2) a multiple of 3?
False
Let y be -3*(-4 + (-20)/(-6)). Is 12 a factor of (y + (3 - 3))*21?
False
Suppose 0 = 4*b - 127 - 33. Is b a multiple of 7?
False
Let r(g) = g**2 - g - 1. Let q(j) = -2*j**2 - 6*j + 7. Let t(n) = q(n) + r(n). Suppose -2*y - 12 = -0*y. Is t(y) a multiple of 12?
True
Let h = -3 - -30. Is 13 a factor of h?
False
Let i be -1 + (0 - -1 - -63). Suppose -u = -4*u - i. Does 10 divide u/(-24)*10*4?
False
Suppose 7*o - 51 = 4*o. Let x(c) = -c**2 + 9*c + 16. Let z be x(9). Suppose o = 3*q - z. Is 11 a factor of q?
True
Let k be 1 - (-2 + 3 + -27). Let l = 3 + k. Does 12 divide l?
False
Let w = 25 - -125. Is w a multiple of 26?
False
Let y(p) = -p**2 - 13*p + 7. Suppose 45 = -0*l + 5*l. Suppose 4*u + v = 4*v - 43, -u - l = v. Is 16 a factor of y(u)?
False
Let r be -3*((-8)/6)/4. Let z be r*4*(-156)/(-8). Suppose -z = -2*n - n. Is n a multiple of 13?
True
Suppose 5*a - 25 - 305 = 0. Does 33 divide a?
True
Let t = -32 + 92. Is 24 a factor of t?
False
Suppose 58 + 89 = 4*m - k, 0 = 3*m + k
|
{
"pile_set_name": "DM Mathematics"
}
|
- 1. Suppose 9 = 2*o - 5. Suppose 4*b = 13 + o. Let j be w(b). Solve -j*c - 2 - 14 = 0 for c.
-4
Suppose 10 = 2*t - 2*a, -3*a = 4*t - 6*a - 15. Solve -d + 3 = -t*d for d.
3
Let y(z) = z**3 - 11*z**2 + 2*z - 9. Let q be y(11). Solve 4*d + 5 = q for d.
2
Let w = -28 + 28. Solve w = -0*u - 3*u - 9 for u.
-3
Let m be 40/18 - (-6)/(-27). Let w be ((-2)/5)/(6/(-30)). Suppose -3*r - w*v + 51 = 0, -v + 33 = 3*r - 15. Solve 3*c - r = -m*c for c.
3
Suppose 2*p + 0*p = 0. Solve 3*b - 2*b = p for b.
0
Let i be 1 + (-2)/4 + (-1)/2. Solve q + 3*q + 12 = i for q.
-3
Suppose k = -2*g - 8, 10 + 10 = -k - 5*g. Let y = 13 - 7. Solve k = 4*j - 2 + y for j.
-1
Let q = 52 + -44. Solve b - q = -3*b for b.
2
Let d(j) = -2*j - 2. Let i be d(-7). Suppose 2*l - i = -l. Solve -l*k = -k for k.
0
Let u(s) be the first derivative of s**3/3 - 3*s**2 + 5*s + 1. Let x be u(6). Solve 3*z - x*z = 8 for z.
-4
Suppose -3*b + 9 + 12 = -3*k, 21 = 3*b + 4*k. Suppose p + 3*o = -13, -b*p - o + 3 = -3*p. Solve p*f = 3*f + 2 for f.
-2
Let j(b) = b**2 + 14*b. Let m be j(-14). Let q be m/(2/(4/(-6))). Solve q = 2*c + 4 - 6 for c.
1
Let i(b) = -3*b - 10. Let f = -23 - -13. Let w be i(f). Solve 4*n + n = w for n.
4
Let n be (1 - 0)/(1/3). Let c be (8/14)/(4/14). Suppose 2*q = -c*q + 28. Solve -n*m - q = -4 for m.
-1
Suppose -10*b + 7*b = 0. Solve d + 1 = -b for d.
-1
Let a(l) = 3*l + 2*l**2 - 4*l**2 - l**2 + 4*l**2. Let b be a(-5). Solve -4*w = 2 - b for w.
2
Let u = -38 + 42. Solve -u*c + 3 = 7 for c.
-1
Let g be (-264)/10 + 8/20. Let c = g + 36. Solve -x = x + c for x.
-5
Suppose -4*g = 5*v - 11, 5*g - 4 = -2*v + 3*g. Solve -12 = -0*w - v*w for w.
4
Let i(b) = 3*b - 8. Let o be i(4). Solve o = -k - 0 for k.
-4
Suppose 4*i + 34 = 3*v, i - 16 = v - 2*v. Let j = v - 13. Solve -j = -n - 0 for n.
1
Suppose -2*a + 9 = -3*a. Let t be 1 - 2/(2/a). Solve -t = -3*k - 1 for k.
3
Suppose -6*y = -5 - 1. Let t be 96/40 + 4/(-10). Solve 0 = -m + t + y for m.
3
Suppose -48 = 5*g + 7*j - 3*j, -3*j = -2*g - 10. Let y(z) = -z**2 - 8*z. Let a be y(g). Solve -t + 5 = -a*t for t.
5
Suppose 0 = 6*l - 5*l - 3. Suppose l*p - 20 = -2*p. Suppose 3*d = 4*j + 81, 2*j - 98 = -4*d + 4*j. Solve 3 = p*s + d for s.
-5
Let q(m) = m**2 + 2*m - 3. Let c be q(2). Suppose c*g - 52 = y + 3*y, y = 4*g - 35. Solve 2*j - g = 4*j for j.
-4
Let s(h) = 0*h + h**3 - h + 3 - 3 - 2 + 7*h**2. Let y be s(-7). Solve 6 = -y*u - 14 for u.
-4
Let h(o) = o**3 + 4*o**2 - 13*o - 4. Let a be 2/5 + (-256)/40. Let k be h(a). Solve v - 3 = k for v.
5
Let v be (-1 - 9/(-6))*6. Suppose -v*o + 0 + 15 = 0. Solve 5 = o*a - 15 for a.
4
Let z be 0/(4 - (-12)/(-4)). Solve 5*x + 3 + 7 = z for x.
-2
Suppose -3*v = -3*f + 9, 0 = 3*f + 2*v + 1 - 5. Solve 2*c = -f*c + 4 for c.
1
Let l(c) = -c**3 - 7*c**2 - 3. Let a be l(-3). Let d be 6/(-4)*52/a. Solve -3*b = -d*b + 2 for b.
-2
Let y(t) = -2*t + 0*t**2 + t**2 - 2*t + 3*t. Let m be y(2). Solve -4*a + m = -2*a for a.
1
Let q(a) = a**2 + 5*a + 5. Let x be q(-4). Let d = -10 + 11. Solve k = x + d for k.
2
Let v(c) = -c**2 - c + 2. Let i be v(-2). Solve i = -5*s - 0*s + 5 for s.
1
Let g(f) = f**2 + 5*f - 3. Let v be g(-3). Let u = 19 + v. Suppose 5*b - u - 15 = 4*n, -2*n - 4*b + 20 = 0. Solve n*m = -3*m + 3 for m.
1
Suppose 2*u - 2*w - 10 = 0, 3*u + 10 = 5*u - 3*w. Suppose u*m = 7 + 23. Suppose -3*z = -0 - m. Solve 0*g = g - z for g.
2
Suppose 53 = -4*s + 3*a, -12 + 68 = -3*s - a. Let u = -6 - s. Solve -5*i - 1 = -u for i.
2
Suppose 3 = -2*q + 9. Solve 5 + 4 = q*t for t.
3
Suppose 0 = 8*g - 2 - 22. Solve 0 = 2*q + 1 - g for q.
1
Let o(l) = -l**3 + l**2 - l + 5. Let a be o(0). Let x = 6 + a. Solve -3 = 2*y - x for y.
4
Suppose 2*t + 0*t - 180 = 0. Let k be 4/((-9)/(t/(-8))). Solve 5 - 10 = k*d for d.
-1
Let a(v) = v**3 + 16*v**2 + 12*v - 40. Let w be a(-15). Solve w = -4*t + 3*t for t.
-5
Suppose -2*i = -3*i. Suppose -9 = -j - 2*j. Suppose j*z = -z. Solve z = -i*d - d + 1 for d.
1
Let c(x) = 2*x - 13. Let d be c(7). Solve 0 = -4*b - 3 - d for b.
-1
Suppose 2*r - 1 = 9. Suppose r*f + 8 - 38 = 0. Let i be (f/(-15))/(2/(-40)). Solve 0*o = 2*o + i for o.
-4
Let u(c) = 2*c - 1. Let k be u(-1). Let n = k - -5. Solve 3*j = n + 1 for j.
1
Let v be (-17)/3 + (-4)/(-6). Let z(w) = -w**2 - 5*w - 6. Let o be z(v). Let s(b) = -b**3 - 5*b**2 + 4*b - 7. Let p be s(o). Solve 0*n - n - p = 0 for n.
-5
Let z be -4*(-3)/6 + 3. Suppose z*l - 2 = 8. Let d be 2 - 4 - 0 - -4. Solve -d*r - l = 8 for r.
-5
Let s = 9 - 5. Suppose -2*a + 0*a - 56 = 0. Let g be 74/8 + (-21)/a. Solve g + 6 = -s*f for f.
-4
Let r(q) = -4*q - 5. Let p(m) = -m**3 - 7*m**2 - 7*m - 2. Let u be p(-6). Suppose -5*t - 25 = 4*z + 31, -u*z = 16. Let k be r(t). Solve 0 = 5*s + k - 2 for s.
-5
Suppose 3*o = 4*n - 10, 2*o + 3*n + 2 = 1. Let r be (4/5)/(o/15). Let z(p) = p**2 + 7*p + 8. Let m be z(r). Solve m*s = 4 + 2 for s.
3
Let d(o) = -o + 13. Let g be d(9). Solve 2 - 10 = g*k for k.
-2
Suppose -5*z + 3*z + 68 = 0. Suppose -4*o = -2*o - z. Suppose -4*q + 9*q = -s + 45, -o = q - 5*s. Solve -3*v = -v - q for v.
4
Let h(p) be the third derivative of -p**4/6 + p**3/2 + 2*p**2. Let g(s) = -s**2 - s + 3. Let u be g(-3). Let t be h(u). Solve 0 = -3*l + 6*l - t for l.
5
Let c be (3/(-3))/((5/(-3))/5). Solve 3 = -c*z + 2*z for z.
-3
Suppose -4*d + 2*z + 23 = -31, -5*d - 5*z + 45 = 0. Solve -2*v = -6*v - d for v.
-3
Let p = 13 + -13. Suppose p = 4*j + j - 20. Solve -2*l - 4 = -j*l for l.
2
Suppose 0*h + u = h - 17, 3*h = 4*u + 53. Solve -2*z - h = -7*z for z.
3
Let i be ((-1)/(-4) + 0)*4. Solve 3*b - i + 4 = 0 for b.
-1
Let a(j) = j**3 + 21*j**2 + 20*j + 1. Let q be a(-20). Solve w = -q - 2 for w.
-3
Let u(i) = i**2 - 8*i. Let p be u(8). Solve 5*o + p*o = -15 for o.
-3
Let t be 56/(-6) + 8/(-12). Let p be (3/(-2))/(1/t). Solve 0 = -0*h + 3*h - p for h.
5
Suppose -95 = -119*u + 114*u. Let z = 7 + -3. Solve z*h - 7 = -u for h.
-3
Let k = 16 - 14. Suppose -k = -u - 0*u. Solve u*g - 1 = 7 for g.
4
Let f be (-3)/(-2) - 30/(-4). Let l = -3 + f. Solve -h = -3*h - l for h.
-3
Let n be (2*-1 - -2)*-1. Let w = n - 4. Let c = 11 + w. Solve c + 3 = -5*g for g.
-2
Let m = -5 - -2. Let s be 1/(m/((-30)/2)). Solve l + s = 2 for l.
-3
Let l(p) = p + 5. Let m be l(-5). Suppose m*o = -5*o + 80. Solve -2*b = 2*b + o for b.
-4
Let u(r) = r**2 + 10*r. Let s(l) = -l - 1. Let d(x) = 4*s(x) + u(x). Let p be d(-7). Solve -p*b + 7*b = -16 for b.
-4
Let a = 2 - -3. Suppose -y - 5*s + 90 = 4*y, 0 = 3*y + 5*s - 58. Solve a*v = v - y for v.
-4
Let m be (-8)/(-16) - (-1)/(-2). Solve 6 + m = 3*t for t.
2
Suppose -5*n + 4*f + 120 = 0, 3*n + 0*f - 45 = -3*f. Solve -t + n = 3*t for t.
5
Let c be -2*(-4)/5*5. Suppose -q + 3*m = -8, -4*q + 2*q = -2*m - c. Solve 0*l - 2 = -q*l for l.
1
Let r be -2 + (-12)/(-4) + 3. Solve 3*g - r*g = 3 for g.
-3
Let y = 3 - 1. Let t(k) = 5*k + 1. Let d be t(1). Solve -y*v - v = -d for v.
2
Let f = -10 + 17. Let l be 2/14 - (-8)/(-56). Suppose -3*c + f*c - 24 = l. Solve 5*a - 5 = c*a for a.
-5
Suppose -28*o + 25 = -23*o. Solve -o*i - 6 = -3*i for i.
-3
Let w(c) = 2*c**2 + 9*c + 6. Let a be w(-6). Let u be (-2)/(-4)*(4 + a). Solve u = -5*n - 6 for n.
-4
Let a(d) = -3*d**2 + 27*d. Let x(w) = w. Let s(f) = -2*f + 4. Let m be s(3). Let i(t) = m*a(t) + 54*x(t). Let l be i(-1). Solve 0*q = 2*q + l for q.
-3
Suppose -3 - 29 = -8*v. Let h(s) = s**2 - 4*s - 2. Let w be h(5). Let q = -2 + 4. Solve q + v = w*x for x.
2
Let p = 3 - 4. Let h be 0 + p + 2 + 1. Suppose 2*f = -h*f + 8. Solve f*y = y for y.
0
Let r be 11*(1 - -3)/(-4). Let v(z) = z + 11. Let q be v(r). Solve q = 2*x + 3 - 9 for x.
3
Suppose j = f - 2 + 3, 4*j + f = -1. Suppose 3*o = s - 22, -5*s + 140 = -6*o + o. Suppose 4*b = c + s - 12, -5*b - 2*c = -14. Solve k - b + 2 = j for k.
2
Suppose 0*i = -4*i + 24. Suppose -16 = 2*o - 3*h, -3*h = o + 2*o - i. Let r = 6 - o. Solve -r*p - 20 = -3*p for p.
-4
Suppose -4*a + 14 = -6. Suppose 2*q - a*z + 19 - 4 = 0, -4*z = -12. Let x(j) = -j**3 + 6*j**2 + j - 4. Let u be x(6). Solve u*y + 3*y - 5 = q for y.
1
Suppose 4*j - 14 - 2 = 0. Suppose j*i - 6*i + 18 = 2*l, -3*l + i = -15. Solve l*v - 2 = 4*v for v.
1
Suppose -5*y + 63 = -47. Solve -2 = 4*o - y for o.
5
Let b = -40 + 43. Solve 2 = 4*v - b*v for v.
2
Suppose 0 = 2*h - 4*i + 10, h - 15 = -0*h - 3*i. Solve 0 = h*g - g for g.
0
Suppose 0 = 2
|
{
"pile_set_name": "DM Mathematics"
}
|
07 divided by 7?
3007/7
1863432 divided by 6
310572
-165 divided by 186
-55/62
Calculate -56108 divided by 1079.
-52
What is -2977 divided by -13?
229
Calculate 16 divided by -14205.
-16/14205
What is -401793 divided by -7049?
57
69 divided by -843
-23/281
What is -18888 divided by -3?
6296
What is -5780 divided by -2?
2890
What is 17 divided by -56?
-17/56
Divide 11 by 13465.
11/13465
-995472 divided by 41478
-24
Divide 190 by -85.
-38/17
What is -392115 divided by 130705?
-3
31 divided by 76
31/76
Divide 312 by 169.
24/13
43368 divided by 5421
8
What is -2118044 divided by -17081?
124
What is 55 divided by 314?
55/314
Calculate -43182 divided by -21591.
2
What is 1485 divided by -297?
-5
2 divided by -23513
-2/23513
What is 0 divided by -3090?
0
Calculate 1745401 divided by 37.
47173
Divide -351512 by 2.
-175756
Calculate -281883 divided by 6.
-93961/2
Divide -663195 by 3.
-221065
What is 0 divided by 9076?
0
-68054 divided by 9722
-7
What is 1 divided by -1261034?
-1/1261034
-110400 divided by -4
27600
-135422 divided by 7
-19346
-143004 divided by -4206
34
2856135 divided by -1
-2856135
Divide -21948 by -7316.
3
Divide 53131 by 4087.
13
Calculate 1 divided by -308986.
-1/308986
8823 divided by -17
-519
What is 27875 divided by 223?
125
Divide -10602 by 1.
-10602
-503 divided by 761
-503/761
Calculate 35 divided by -11993.
-35/11993
Calculate 176583 divided by 2.
176583/2
Divide -1319358 by -118.
11181
Calculate 12615 divided by 29.
435
Calculate 18372 divided by -12.
-1531
Divide -282430 by -5.
56486
Calculate -1808826 divided by -6.
301471
What is -1697 divided by -22?
1697/22
9894 divided by -2
-4947
11656 divided by 16
1457/2
Divide -142777 by -2.
142777/2
Calculate 1926 divided by 470.
963/235
-501200 divided by 100
-5012
Calculate -561176 divided by 28.
-20042
What is -93 divided by -25961?
93/25961
58570 divided by -58570
-1
Divide -1940 by 38.
-970/19
Divide -315 by 3942.
-35/438
Divide -3027469 by 1.
-3027469
Calculate 81435 divided by 305.
267
-7337 divided by -42
7337/42
Calculate -28 divided by -127530.
14/63765
Calculate 344817 divided by 3.
114939
What is 0 divided by 415492?
0
Divide -794952 by 18.
-44164
Calculate -174840 divided by 564.
-310
Calculate 2 divided by 80243.
2/80243
-92950 divided by -845
110
1786536 divided by -12
-148878
-559772 divided by 5
-559772/5
Calculate 2345409 divided by -1.
-2345409
55210 divided by 4
27605/2
Divide -530048 by 4.
-132512
3 divided by 713673
1/237891
207969 divided by -69323
-3
713427 divided by -18293
-39
Divide 4240548 by -6.
-706758
-3238972 divided by -809743
4
-4 divided by -104378
2/52189
Calculate -2 divided by 51425.
-2/51425
Divide 87885 by -3255.
-27
What is 87148 divided by 14?
43574/7
What is 9174 divided by 2?
4587
176700 divided by 100
1767
Calculate -5568 divided by -24.
232
What is -65 divided by -470?
13/94
Divide 3 by 13677.
1/4559
Divide 400296 by -5.
-400296/5
Calculate 52080 divided by -210.
-248
-72055 divided by -3
72055/3
What is 54718 divided by -27359?
-2
What is 880 divided by 33?
80/3
Calculate -50790 divided by -8465.
6
Divide 948 by 316.
3
Divide -222013 by 1.
-222013
Divide 0 by 10016.
0
Calculate 2204 divided by -116.
-19
Calculate 6236 divided by -16.
-1559/4
What is -6400 divided by -200?
32
Calculate 1918798 divided by -16261.
-118
Divide 5 by 208706.
5/208706
-2164 divided by -727
2164/727
What is -1006740 divided by -10710?
94
-19934 divided by 64
-9967/32
16 divided by 9399
16/9399
Divide -221445 by -1.
221445
Calculate 561213 divided by 187071.
3
Divide 84132 by -18.
-4674
-117120 divided by -61
1920
Calculate -186356 divided by -46589.
4
What is 314 divided by 1178?
157/589
Calculate 901 divided by 2.
901/2
Calculate -344440 divided by 17222.
-20
What is -1552551 divided by -329?
4719
What is 1476048 divided by -4?
-369012
What is -82539 divided by 5?
-82539/5
Calculate -123056 divided by -2.
61528
486984 divided by 24
20291
-168809 divided by 1
-168809
13680 divided by -228
-60
What is 121824 divided by 16?
7614
What is -5773 divided by -22?
5773/22
Calculate -19637 divided by -56.
19637/56
Calculate -65 divided by -28.
65/28
-7530 divided by 3
-2510
-88107 divided by -2049
43
What is 2291176 divided by -2?
-1145588
What is 219606 divided by -4?
-109803/2
Calculate 0 divided by -17726.
0
Divide -1395 by 595.
-279/119
What is 20148 divided by 146?
138
Divide 72 by 2.
36
Calculate -85200 divided by -5680.
15
50308 divided by -10
-25154/5
Divide 113 by -385.
-113/385
Calculate -2980560 divided by 3.
-993520
-2 divided by 3061
-2/3061
Divide 2145968 by 1072984.
2
Divide 0 by -7847.
0
Divide 136942 by -3.
-136942/3
Calculate 23217 divided by 23217.
1
Calculate -1 divided by 180035.
-1/180035
Divide -398156 by -4.
99539
What is -628864 divided by -289?
2176
Calculate 776963 divided by 20999.
37
-2618148 divided by 1014
-2582
4676 divided by 668
7
What is -55 divided by -7088?
55/7088
117370 divided by -2
-58685
-231886 divided by -3266
71
27090 divided by 1
27090
1800 divided by 144
25/2
Calculate 26818 divided by -1.
-26818
Calculate 0 divided by 85921.
0
Divide -385444 by 3.
-385444/3
What is 240 divided by -111?
-80/37
Calculate 34 divided by -396.
-17/198
Calculate 380640 divided by 6.
63440
Divide 1718520 by 10.
171852
Divide -2635578 by -1317789.
2
Calculate -77170 divided by 9.
-77170/9
What is 40563 divided by -4507?
-9
27 divided by -121
-27/121
What is -4105710 divided by -35?
117306
-146913 divided by 2
-146913/2
What is 5013 divided by 300?
1671/100
Divide -1405 by -668.
1405/668
Divide -855404 by -19441.
44
What is 4 divided by -9057?
-4/9057
What is -10656 divided by -148?
72
-5549 divided by 6
-5549/6
Divide 5 by 12220.
1/2444
Divide -45650 by -913.
50
Divide 323 by -69.
-323/69
615498 divided by 205166
3
Calculate -2328752 divided by 145547.
-16
Divide 4731 by -169.
-4731/169
Divide 11790 by -3.
-3930
What is -64 divided by 1910?
-32/955
Calculate 0 divided by 768402.
0
What is -25824 divided by -25824?
1
-14700 divided by -1470
10
Divide -6967 by 68.
-6967/68
Calculate -56435 divided by -49.
56435/49
What is -15 divided by -892?
15/892
Calculate -131560 divided by -230.
572
Divide 9132902 by 2.
4566451
What is 58674 divided by -5?
-58674/5
80 divided by -452
-20/113
-59 divided by -23508
59/23508
Calculate 272406 divided by -1.
-272406
Divide -8343812 by 3838.
-2174
Calculate 4437678 divided by 233562.
19
-248302 divided by -3706
67
-7671 divided by 6
-2557/2
109824 divided by -27456
-4
What is -11651635 divided by -5?
2330327
-2101648 divided by -2
1050824
-132 divided by 132
-1
Calculate 11 divided by 19161.
11/19161
Divide 2930012 by -2.
-1465006
Calculate 482 divided by 3332.
241/1666
What is -10 divided by 205444?
-5/102722
Divide -2 by 1064.
-1/532
What is 0 divided by 301882?
0
What is -209417 divided by 1?
-209417
Calculate -21 divided by 4940.
-21/4940
What is -1735710 divided by 6?
-289285
Calculate 11 divided by -28742.
-11/28742
Divide 1315998 by 9.
146222
Calculate -6256 divided by 6.
-3128/3
Divide 2 by 1750.
1/875
Calculate 2510748 divided by -12942.
-194
Divide 1022 by 33.
1022/33
Divide -127987 by 1.
-127987
Calculate 899262 divided by -1281.
-702
Divide 2620266 by 70818.
37
Calculate -5632 divided by -352.
16
1872588 divided by 116
16143
-236188 divided by 1
-236188
Divide 6666 by 38.
3333/19
Divide 4 by 11199.
4/11199
Divide 9220 by -461.
-20
963214 divided by -749
-1286
-28291 divided by -13
28291/13
Calculate 0 divided by 134496.
0
24 divided by -3047
-24/3047
Calculate 331815 divided by -30165.
-11
Calculate -19550 divided by 782.
-25
Divide 104 by -2265.
-104/2265
0 divided by 2660
0
What is -105876 divided by -52938?
2
111 divided by -205
-111/205
904158 divided by 2
452079
What is 254388 divided by 51?
4988
Calculate 40 divided by -235.
-8/47
Divide 26 by 523.
26/523
7 divided by 533
7/533
What is -4 divided by -56890?
2/28445
Divide 3162 by -20.
-1581/10
-106212 divided by 3
-35404
Divide 791268 by 849.
932
Calculate -405 divided by -11.
405/11
What is 2421 divided by 6?
807/2
36315 divided by 7263
5
What is -2001828 divided by -69?
29012
-28698 divided by 6
-4783
Calculate 157836 divided by 78918.
2
Divide 642 by 625.
642/625
Divide -1 by -216121.
1/216121
Calculate 5 divided by -18681.
-5/18681
Calcu
|
{
"pile_set_name": "DM Mathematics"
}
|
38 = -3*y. Calculate the greatest common factor of y and 18.
6
Let w be (-7)/21*(-230 - -2). What is the highest common divisor of 988 and w?
76
Let f = -395 + 204. Suppose l + 3 = 344. Let v = l + f. Calculate the highest common divisor of 60 and v.
30
Let n = -25 + 19. Let b = n + 34. What is the greatest common factor of 14 and b?
14
Suppose 2*h = -3*q + 78, -2*h = -5*q + 117 + 29. Calculate the greatest common factor of 70 and q.
14
Suppose 4*r = 3*p + 40, -5*r - 4*p - 23 = -6*r. Let o = 24 + -17. What is the greatest common factor of r and o?
7
Let s be 96/(-5)*680/(-51). Calculate the highest common factor of s and 32.
32
Let m(d) = 2*d + 1. Let u be m(10). Calculate the highest common divisor of u and 147.
21
Suppose 5*o = -2*w + 394, 2*w = -3*o - o + 314. Let p(g) = -37*g - 8. Let k be p(-4). Let n = k - o. What is the highest common factor of n and 20?
20
Let z(h) = 2*h**3 - 3*h**3 - 6 - 10*h + 0*h**3 + h**2 + 11*h. Let o be z(-4). Calculate the greatest common divisor of o and 28.
14
Let f(k) = 4*k**2 + 3*k - 4. Let r be f(-2). Suppose j = 49 - 48. Calculate the highest common divisor of j and r.
1
Suppose -4*d + 7899 = 2*b - 191, -8065 = -4*d + 3*b. Calculate the highest common divisor of d and 20.
20
Let q be (88/55)/((-6)/(-60)). What is the highest common divisor of q and 2032?
16
Let i = 147 + -87. Let t(y) = 22*y**2 + 9*y + 7. Let z be t(-1). Calculate the highest common divisor of i and z.
20
Let c = -18 - -10. Let i = c + 8. Suppose -g = 5*r - 96, -6*g + g - 20 = i. What is the greatest common divisor of r and 10?
10
Let h be 5/6 - 4669/(-42). What is the highest common factor of 4 and h?
4
Let u(c) = -20*c - 141. Let x be u(-10). What is the greatest common factor of x and 885?
59
Let h(n) = -n - 8. Let a be h(-12). Suppose 4*w + 1 = -b - 1, a*w = -4*b + 52. Let k = 11 + -8. What is the greatest common factor of b and k?
3
Let f be (2109 - 9)*20/15. Calculate the highest common factor of 8 and f.
8
Suppose -95 = -6*i + i. Let g = i + 131. Suppose 0*z + 45 = 3*z. Calculate the highest common factor of z and g.
15
Suppose -4*n - 2*s - s + 71 = 0, s - 33 = -2*n. Let y = -9 + n. Suppose 66 + 74 = y*u. Calculate the highest common factor of u and 42.
14
Let o = -5 - -4. Let i be o - (-1)/2*2. Suppose i = -p - 0*p + 3. Calculate the highest common divisor of 2 and p.
1
Suppose 8 = -2*b - 2, 5*w + 3*b + 70 = 0. Let p(z) = -6*z + 4*z + 13 - 2*z + 2*z. Let d be p(w). What is the greatest common divisor of 245 and d?
35
Let r = 304 + -206. Suppose -41 = -5*w + 29. What is the highest common factor of r and w?
14
Let d = 28 - 26. Suppose -d*q = -3*f - 65, -6*q = -2*q + f - 123. Let x = q + -11. What is the highest common divisor of x and 40?
20
Let o(m) be the third derivative of m**2 + 1/12*m**4 + 0*m + 3*m**3 + 0. Let i be o(6). What is the highest common divisor of 12 and i?
6
Let p(x) = 4*x - 24. Let c = 22 - 6. Let f be p(c). Calculate the greatest common factor of 16 and f.
8
Suppose -2*u + 17 + 27 = 0. Suppose -u = 3*t - 5*t. What is the greatest common divisor of 22 and t?
11
Let l(f) = f + 2. Let c be l(-3). Suppose 0 = -83*o + 89*o + 24. Let w be (1 - c)/(o/(-30)). What is the greatest common divisor of w and 105?
15
Let g(l) = 2*l**3 - 9*l**2 + 22*l. Let n be g(4). Calculate the highest common divisor of n and 360.
72
Let i be (-61)/((-256)/36 + 7). Calculate the highest common divisor of 9 and i.
9
Let c(q) = 2*q**3 - 64*q**2 + 31*q - 117. Let t be c(32). What is the greatest common factor of 35 and t?
35
Suppose 3*d + 423 - 447 = 0. What is the greatest common divisor of d and 1?
1
Suppose -5*f = 3*c - 455, -3*f = 2*f - 20. Let r = c + -65. Suppose 0 = -5*n + 3*v + 35, 2*n - 6 - 9 = v. What is the highest common factor of r and n?
10
Suppose p - 53 = -67. Let k be (-3)/((p/(-14))/((-30)/2)). What is the highest common factor of k and 18?
9
Let d(r) = -4*r + 14. Let n be d(0). Calculate the greatest common divisor of n and 147.
7
Suppose 4 = -2*w + 2*b, -33 + 11 = -5*w - 3*b. Let h(z) = z**3 + 2*z**2 + z - 1. Let g be h(w). Calculate the highest common factor of g and 136.
17
Let i be -3 + 1*(-4)/(12/(-15)). Suppose -s = i*s - 60. Calculate the greatest common divisor of s and 10.
10
Suppose 13*s - 49 = 341. Let g = 70 + 35. Calculate the greatest common divisor of g and s.
15
Suppose 22*a = 37*a - 135. Calculate the highest common divisor of a and 39.
3
Suppose 0 = 6*h - 7*h + 63. Suppose 5*p = -2*p + h. Let s be (-8)/(-2)*p/6. Calculate the greatest common factor of s and 66.
6
Suppose -195 = -9*m + 183. Calculate the highest common factor of 147 and m.
21
Let i be (-33 - -4)/1*-3. Let b = i + -63. Calculate the highest common divisor of 8 and b.
8
Let v = 2005 + -1987. Calculate the highest common factor of v and 153.
9
Let h = -3 + 3. Suppose -i - w = h, -i + 4*w + w = -6. Calculate the greatest common factor of 2 and i.
1
Let f(s) = -15*s - 925 - s**2 + 905 + 0*s**2. Suppose -4*a = 24 + 20. Let b be f(a). Calculate the highest common divisor of 264 and b.
24
Let y = 1478 - 318. What is the greatest common factor of 120 and y?
40
Let t be ((-798)/(-171))/(2/42 + 0). Let v = -7 + 8. Let q be (2/1)/(v/7). What is the highest common divisor of q and t?
14
Let u = -24 + 14. Let f(j) = 2*j**2 - 4*j + 8. Let k be f(u). Let i be k/14 - 8/(-28). Calculate the greatest common divisor of i and 198.
18
Let u be (184/(-16))/(1/(-2)). Calculate the greatest common factor of 46 and u.
23
Let h(b) = b**2 - 29*b - 18. Let a be h(30). Suppose 5*s - 4*n + 6*n = 25, s - 3*n + a = 0. Calculate the highest common divisor of s and 6.
3
Suppose 20*x - 3308 = 3172. Calculate the highest common divisor of x and 72.
36
Let c(a) = a**3 - 7*a**2 - 8*a + 5. Let w be c(8). Suppose -j = -w*i - 6*j + 265, 3*j = -4*i + 213. Calculate the highest common factor of i and 6.
6
Let l = 42 + -27. Suppose h - 2*h - 2*m = -83, -2*h + 134 = -4*m. Calculate the highest common factor of h and l.
15
Let k = 111 + -15. Suppose -t + 4 = 0, i = 5*i + 4*t - k. Calculate the greatest common divisor of i and 100.
20
Let f = -8 - -8. Let y be (1 - 2) + f + 2. Let q be y/(2/(-4) + 1). What is the highest common divisor of 8 and q?
2
Suppose -2*w + 455 + 380 = -q, 3*q = -4*w + 1695. Calculate the highest common divisor of 28 and w.
28
Let i = -267 - -268. What is the highest common divisor of i and 31?
1
Let a(x) = x**2 - 41*x - 296. Let o be a(48). Calculate the greatest common divisor of o and 5400.
40
Let j(p) = 257*p**2 - p + 1. Let l be j(1). Let f = -173 + l. Let u be 12 - (0/(-1))/1. Calculate the highest common divisor of u and f.
12
Suppose -u - 4*u + 4*d = -54, -3*u + 4*d = -34. Let b = 17 - u. Suppose -p + 3*r + 3 = 0, 0*p - b = -2*p + 5*r. What is the highest common divisor of 18 and p?
6
Let r = -1182 - -1191. Calculate the greatest common factor of 612 and r.
9
Let x(g) = 4*g**3 + g**2 - 3*g - 2. Suppose 0 = -8*a - 9 + 25. Let s be x(a). What is the greatest common divisor of 70 and s?
14
Suppose 5*n - 9*w = -7*w + 8465, 0 = 4*n - 5*w - 6789. What is the highest common divisor of n and 19?
19
Let y be (-22)/(-8) - (-12)/(-16). Suppose -a + 528 = y*a. Calculate the highest common factor of 16 and a.
16
Let n be (-6)/(-21) + (-215)/(-7). Suppose -3*o + 5*c + n = o, c = -4*o + 13. What is the highest common factor of o and 8?
4
Let s be (4 - 15)*8 - 0/3. Let j = -38 - s. Calculate the highest common divisor of 150 and j.
50
Let a = -28 + 23. Let r be 6*(a + 1 + 88/16). Calculate the highest common divisor of 3 and r.
3
Suppose r - 5*k = 636 - 215, -1247 = -3*r - k. Calculate the greatest common factor of r and 52.
52
Let q(v) = -3*v + 44. Let h be q(0). Suppose 0 = -0*m + 4*m - 1584. Calculate the highest common divisor of h and m.
44
Let z(h) be the first derivative of h**4/4 - h**3/3 + 4*h**2 + 2. Suppose 0 = 6*o - 20 - 4. Let p be z(o). What is the greatest common factor of 16 and p?
16
Let k be -7*(234/(-429) + 10/(-22)). Let b be (-3)/(-12) - (-18)/(-8). Let c = 3 + b. Calculate the greatest common divisor of k and c.
1
Let t be (-92)/207 - (-2744)/18. What is the highest common divisor of 114 and t?
38
Let u(j) = -2*j + 5. Let o be u(-5). Let z(x) = -x - 5 - 2*x + 4*x. Let r be z(10). Calculate the highest common divisor of r and o.
5
Suppose 0 = 4*l
|
{
"pile_set_name": "DM Mathematics"
}
|
-0.127
Let y = -373 - -370. Sort -34, 0.3, y, -0.4.
-34, y, -0.4, 0.3
Let z = -31 + 35. Suppose 4*w + 9 = 4*j + 29, -z*j - 20 = -5*w. Let c = 0.2 - 0.3. Sort -0.2, c, w.
-0.2, c, w
Let o be 5 - 1 - 3/3. Suppose 0 = 3*y - 3*q + 15, 8*y = o*y - 4*q + 20. Put y, -5, -1 in increasing order.
-5, -1, y
Let o = -1 - -2. Suppose -2*h = t - o, 2*h - h = 4*t - 31. Suppose 2*k - l + 5 = 0, -4*k + l - 4*l = 5. Put t, k, 3 in ascending order.
k, 3, t
Let u = 2 - 1.48. Let q = u - 0.02. Let k be (-3)/(-7)*2/3. Sort q, 0.3, k in increasing order.
k, 0.3, q
Let y = -33 + 31.85. Let f = y + 1.2. Let n = -0.5 - -1.5. Put n, f, -1/2 in descending order.
n, f, -1/2
Let s = 365.5 + -366. Let p = 0.03 - -0.27. Let j = p + -2.3. Put j, -4, s in descending order.
s, j, -4
Let f = -12.62 + 0.82. Let j = -0.014 + 12.014. Let i = j + f. Put -1/5, i, -3/4 in decreasing order.
i, -1/5, -3/4
Let k(t) = t**3 - 8*t**2 - t - 9. Let h be k(4). Let n = h + 79. Suppose 0 = 2*l + l. Sort -2, l, n in increasing order.
-2, l, n
Let i be 1/(4 - 116/28). Let u = i + 3. Put u, -17, 1 in decreasing order.
1, u, -17
Let r = -702/5 - -140. Let j = -159 - -162. Put j, 0.1, r in ascending order.
r, 0.1, j
Let u = 241 - 1688/7. Sort u, -4, -0.14.
-4, u, -0.14
Let l be ((-143)/(-12) + -12)/(1/3). Let m be (0/(-1))/1 + 4. Let z = m + -6. Sort l, z, -0.5.
z, -0.5, l
Let r = -6 + 6. Let o = r - -4. Suppose 0*g = -o*g - 12. Put -1, 4, g in descending order.
4, -1, g
Let p(u) = u. Let s be p(4). Suppose 0 = -3*d - 5 - s. Let z be (-21)/14*(-20)/(-18). Sort d, -0.4, z in decreasing order.
-0.4, z, d
Let i = -32 + 10. Let d be 10/(-4)*(i - -24). Sort 3, -15, d in decreasing order.
3, d, -15
Let n = 727 + -760. Put n, -0.2, -3 in ascending order.
n, -3, -0.2
Let w(d) = d**3 - 2*d + 3. Let c be w(2). Suppose -c*h + 3*h - 20 = 5*p, -5*h = -4*p - 16. Let b be (0 - (0 - h))/(-2). Sort -3, b, 19.
-3, b, 19
Suppose -5*h - 5 = -3*u - 2*u, 0 = -5*u + 2*h - 7. Let v = 24 + -21. Put -1, -4, v, u in ascending order.
-4, u, -1, v
Let f = 1555 + -1551. Sort 1, -0.3, f in decreasing order.
f, 1, -0.3
Let g = -9 - -8.9. Let u = -41 - -27. Let s = 10 + u. Put -5, g, s in increasing order.
-5, s, g
Suppose 1005*r - 1037*r = 0. Sort -76, r, 8.
-76, r, 8
Suppose -4*m - 25 + 27 = -3*u, 5*u = 2*m - 8. Sort -8, -34, u in descending order.
u, -8, -34
Let q = 93 - 97. Put 1, q, -2, 3 in descending order.
3, 1, -2, q
Let w = -9 - -49/5. Let d = 5 + -5.9. Let g = -0.6 - d. Put g, w, 3 in descending order.
3, w, g
Let f be 6*((-10)/(-9))/(16/12). Let s be f/7 + ((-12)/7)/(-6). Let k = 3 - -1. Put k, s, 3 in decreasing order.
k, 3, s
Let d = 17 + -12. Sort 6/11, 5/6, d, 10 in decreasing order.
10, d, 5/6, 6/11
Let a = -5 - -8. Suppose -4*r + 4 = -4*h, -2*r + a = 5*h + 36. Sort 14, h, -1.
h, -1, 14
Suppose -27*h + 314 = -4*d - 30*h, -3*d - 229 = -h. Put -2, d, -4 in descending order.
-2, -4, d
Let t = 106/3 - 104/3. Sort -1/15, -1/6, t, -2 in ascending order.
-2, -1/6, -1/15, t
Suppose -5*r + 546 = 3*f, -5*r = -0*f - 5*f - 530. Sort r, 0, -4.
-4, 0, r
Let b be 24 - -3*6/9. Put b, -3, -4 in decreasing order.
b, -3, -4
Suppose -h + 12 = -5*b, 5*h + 32 = 2*h - 2*b. Put 4, h, -3 in descending order.
4, -3, h
Let g = -7.67 - -0.37. Let z = -10 - -3. Let p = g - z. Sort 1/8, -3, p in ascending order.
-3, p, 1/8
Let u = -92.7 + 93.7. Let d = -0.7 - 0.3. Put 3/11, d, u in ascending order.
d, 3/11, u
Let z = -0.181 + -0.019. Put -1/2, 2/19, z, 0.4 in decreasing order.
0.4, 2/19, z, -1/2
Let z be -1 + 3/4 + (-51)/(-12). Let k be (2 + (0 - 1))/(1/z). Put k, 8, 2 in decreasing order.
8, k, 2
Let q = -10.4 + 13.4. Put 0.1, q, -2 in decreasing order.
q, 0.1, -2
Let y(x) be the second derivative of -x**4/12 - 5*x**3/2 + 8*x**2 + 4*x. Let p be y(-16). Put p, 1, -4 in decreasing order.
1, p, -4
Let x = 30 - 15. Let y = x - 11. Suppose -4*k = y*d + 8, -5*k - 1 = -11. Put 0, 7, d in decreasing order.
7, 0, d
Let s be -6 + (-2)/(-2) + 1. Let z(i) = i - 2. Let j(w) = w**2 - 6*w + 9. Let n be j(2). Let v be z(n). Put s, v, 1 in decreasing order.
1, v, s
Let m = -33.2 - 6.8. Let s = m - -39.6. Sort s, -1.5, 4/5 in decreasing order.
4/5, s, -1.5
Let q = 5 + -10. Suppose -5*z - 36 = j - 16, -2*j = 0. Suppose 5*w - 7 + 3 = 4*o, 0 = -2*w. Put o, q, z in ascending order.
q, z, o
Let a = -1.4 + 1.54. Let p = 0.36 + -0.44. Let n = a + p. Sort 2/5, -3, n in decreasing order.
2/5, n, -3
Let o = -0.81 - -0.11. Let h = -0.62 - o. Let n = h - 0.08. Put -0.3, 1, n in ascending order.
-0.3, n, 1
Let t(m) = -6*m + 56. Let a be t(9). Suppose -3*l + 16 - 4 = 0. Suppose 0 = -l*w + 5*z + 10, a*z - 4 = -2*w + 4*z. Sort -5, w, 3 in decreasing order.
3, w, -5
Suppose 5*a + 0*a + 15 = 0. Let r be (33*-1)/((-405)/90*(-1)/3). Sort r, a, -0.2 in decreasing order.
-0.2, a, r
Suppose -2*v = -v + 8. Let g = 10 + v. Let q be (12/(-8))/((-1)/(-2)). Put q, -5, g in increasing order.
-5, q, g
Suppose -3*i - 18 = -2*i - 5*f, -2*i = 4*f - 20. Let j(o) = -3*o - o**3 - 11 + 6 - 5*o**i + o. Let a be j(-5). Sort -5, a, 9 in ascending order.
-5, a, 9
Let t = 86 - 87. Sort -3, 5, 3, t in increasing order.
-3, t, 3, 5
Let k = 1.13 + 3.87. Sort 1, -10/11, k in descending order.
k, 1, -10/11
Suppose -z - 6 = 2*z. Let q(i) = 12*i**2 + 1. Let c be q(-1). Let s(x) = 2*x - 27. Let t be s(c). Put z, 6, t in decreasing order.
6, t, z
Suppose 5*x = 3*m + 4, -12 = x - 2*x - 5*m. Let u be (-7 - -1)*x/(-22). Suppose r - 7 = 3*y - r, y + 4*r = -7. Sort y, 3, u in descending order.
3, u, y
Suppose 5*a + 4*o - 16 = 9*a, -a = -2*o. Sort a, 2, 0, -48 in increasing order.
-48, a, 0, 2
Let t = -73/450 + -3/50. Sort 5, -0.028, t.
t, -0.028, 5
Let u = 368 - 371. Sort 2, u, 10.
u, 2, 10
Let l be ((-7)/21 - -5)*2/21. Sort l, 77, -0.1 in ascending order.
-0.1, l, 77
Let z = -0.8381 + 0.0381. Put 0.6, z, 0, -4 in decreasing order.
0.6, 0, z, -4
Let j = 3768 + -3770. Suppose 3 - 13 = -5*v. Let w = -12 - -6. Sort j, w, v in decreasing order.
v, j, w
Let x(f) = 2*f**2 - 8*f - 1. Let l be x(4). Put 2, l, 4 in descending order.
4, 2, l
Suppose 2*p - 4*p - 3*j + 15 = 0, -5*p + j + 63 = 0. Suppose 6*q = -0*q + p. Suppose 3*w - q + 5 = 0. Sort w, -4, 3 in increasing order.
-4, w, 3
Suppose 5*l + 14 = 4*v + 2, 4*v = -5*l + 12. Suppose 4*q - 11 = -2*r + 5, -q - r + 4 = l. Let h = -5 + q. Put 2, h, 4 in decreasing order.
4, 2, h
Suppose -2*t - 17 = a, 0 = -5*t - 3*a - 59 + 16. Let q = t - -12. Let f(j) = 6*j - 112. Let u be f(19). Put q, -4, u in descending order.
q, u, -4
Let r = -1.8 - -3.8. Let p = 9.4 - -0.6. Let i = p + -13. Put 4, i, r in decreasing order.
4, r, i
Suppose -12*w = -55*w. Sort w, 17, 1.
w, 1, 17
Suppose -h - 1 = -2*b, 5*b - 4*h = -19 + 14. Put b, -7, 6, -3 in descending order.
6, b, -3, -7
Let z be (-12)/3*62/8. Let h = z + 32. Sort -2, h, -8 in descending order.
h, -2, -8
Let l(x) = x**3 - 2*x**2 + 4*x + 8. Let z be l(2). Sort -36, z, -3.
-36, -3, z
Let p = -6562 + 6559. Let w be (1 - -2)*(-2)/(-8). Put p, -5/4, w, 3 in ascending order.
p, -5/4, w, 3
Suppose -6*w + 8*w = -2, -5*p + 16 = 4*w. Sort -5, 117, p.
-5, p, 117
Suppose -34 = 4*u - 5*k - 11, 0 = 4*k - 12. Let i be ((-48)/(-52) + -1)*u. Let b = -1.93 + 0.93. Put i, b, -2 in descending order.
i, b, -2
Suppose -t + 6 = 2*t. Suppose 3*h = 4*h - t. Suppose 10 = 6*g - 2*g - h*d, 0 = -2*d + 6. Sort 5/3, g, 2.
5/3, 2, g
Suppose 4*h + 6 = -2. Let n be 2/7 - 259/(-49)*-1. Put 2, h, n, 0 in descending order.
2, 0, h, n
Let k be ((-21)/(-9))/((-7)/(-6)). Let l = 3 - 3.4. Sort 4, -5, l, k in ascending order.
-5, l, k, 4
Let d be 4*3*(-3)/45. Let s = -1 - -0.9. Let u = s + -0.2. Sort u, d, -0.5 in descending order.
u, -0.5, d
Let x be (-180)/45 - (-46)/12. Let m = -0.26 - 0.14. Put 3, m, x in descending order.
3, x, m
Let q = -1 + -4. Suppose 0 = -h - 3, 2*h + 0*h = 4*p - 14. Sort 1/3, p, q in ascending order.
q, 1/3, p
Suppose 3*b + 21 = -3*f, -2 = -f - 3. Let i be -9 - (b - -4 - 2). Let c(s) = -s**3 + 5*s**2 - 4*s + 5. Let q be c(4). Put i, 3, q in increasing order.
i, 3, q
Let r be (-12)/(-108) - (-35)/9. Let d(y) = y**2 + 7*y + 8. Let s be d(-6). Sort s, r, -5, 12 in descending order.
12, r, s, -5
Let p = -0.1258 - 21.8742. Sort -3/2, p, -0.3, 1/5 in increasing order.
p, -3/2, -0.3, 1/5
Let l be -6 + -164*(-1)/28. Sort -0.4, -5, -2/9, l in descending o
|
{
"pile_set_name": "DM Mathematics"
}
|
t of 2805 to the nearest integer?
3
What is the third root of 1433 to the nearest integer?
11
What is the square root of 781 to the nearest integer?
28
What is the cube root of 34751 to the nearest integer?
33
What is the fourth root of 92880 to the nearest integer?
17
What is the third root of 70012 to the nearest integer?
41
What is the third root of 82995 to the nearest integer?
44
What is the square root of 16440 to the nearest integer?
128
What is 13749 to the power of 1/3, to the nearest integer?
24
What is the square root of 380 to the nearest integer?
19
What is 2385 to the power of 1/2, to the nearest integer?
49
What is 71248 to the power of 1/3, to the nearest integer?
41
What is 1134 to the power of 1/2, to the nearest integer?
34
What is the cube root of 231 to the nearest integer?
6
What is the third root of 27101 to the nearest integer?
30
What is 122 to the power of 1/2, to the nearest integer?
11
What is 2386 to the power of 1/2, to the nearest integer?
49
What is 7770 to the power of 1/2, to the nearest integer?
88
What is the cube root of 11771 to the nearest integer?
23
What is the seventh root of 23289 to the nearest integer?
4
What is the third root of 3271 to the nearest integer?
15
What is 15848 to the power of 1/2, to the nearest integer?
126
What is 131606 to the power of 1/6, to the nearest integer?
7
What is the third root of 31764 to the nearest integer?
32
What is the cube root of 6720 to the nearest integer?
19
What is 5684 to the power of 1/8, to the nearest integer?
3
What is the square root of 3857 to the nearest integer?
62
What is the ninth root of 1257 to the nearest integer?
2
What is the third root of 24809 to the nearest integer?
29
What is the seventh root of 135 to the nearest integer?
2
What is the sixth root of 12554 to the nearest integer?
5
What is the cube root of 34552 to the nearest integer?
33
What is 5806 to the power of 1/2, to the nearest integer?
76
What is the square root of 17852 to the nearest integer?
134
What is the ninth root of 5492 to the nearest integer?
3
What is the third root of 455 to the nearest integer?
8
What is the cube root of 1074 to the nearest integer?
10
What is the fifth root of 102578 to the nearest integer?
10
What is the cube root of 3383 to the nearest integer?
15
What is 23638 to the power of 1/2, to the nearest integer?
154
What is 4030 to the power of 1/8, to the nearest integer?
3
What is the fifth root of 3789 to the nearest integer?
5
What is the seventh root of 31291 to the nearest integer?
4
What is the square root of 50348 to the nearest integer?
224
What is 191 to the power of 1/6, to the nearest integer?
2
What is the square root of 1363 to the nearest integer?
37
What is 29828 to the power of 1/10, to the nearest integer?
3
What is the third root of 39808 to the nearest integer?
34
What is the fifth root of 733 to the nearest integer?
4
What is 8917 to the power of 1/3, to the nearest integer?
21
What is the ninth root of 2376 to the nearest integer?
2
What is 887 to the power of 1/2, to the nearest integer?
30
What is the third root of 404 to the nearest integer?
7
What is the sixth root of 3370 to the nearest integer?
4
What is 1464 to the power of 1/9, to the nearest integer?
2
What is 2345 to the power of 1/7, to the nearest integer?
3
What is the square root of 26221 to the nearest integer?
162
What is 132552 to the power of 1/2, to the nearest integer?
364
What is 43769 to the power of 1/4, to the nearest integer?
14
What is the square root of 5827 to the nearest integer?
76
What is the square root of 13970 to the nearest integer?
118
What is the square root of 1304 to the nearest integer?
36
What is the square root of 49976 to the nearest integer?
224
What is 2005 to the power of 1/9, to the nearest integer?
2
What is the square root of 18 to the nearest integer?
4
What is 320 to the power of 1/7, to the nearest integer?
2
What is 1830 to the power of 1/10, to the nearest integer?
2
What is the cube root of 9644 to the nearest integer?
21
What is the sixth root of 662 to the nearest integer?
3
What is the cube root of 2108 to the nearest integer?
13
What is the fifth root of 1128 to the nearest integer?
4
What is the square root of 59611 to the nearest integer?
244
What is 633 to the power of 1/3, to the nearest integer?
9
What is 11953 to the power of 1/3, to the nearest integer?
23
What is the eighth root of 2921 to the nearest integer?
3
What is 1413 to the power of 1/3, to the nearest integer?
11
What is the fourth root of 2918 to the nearest integer?
7
What is 706 to the power of 1/7, to the nearest integer?
3
What is the seventh root of 3695 to the nearest integer?
3
What is the fifth root of 4314 to the nearest integer?
5
What is the third root of 2506 to the nearest integer?
14
What is 4949 to the power of 1/3, to the nearest integer?
17
What is 10276 to the power of 1/2, to the nearest integer?
101
What is the sixth root of 5058 to the nearest integer?
4
What is the ninth root of 764 to the nearest integer?
2
What is the third root of 535 to the nearest integer?
8
What is the cube root of 201 to the nearest integer?
6
What is 8968 to the power of 1/6, to the nearest integer?
5
What is the tenth root of 674 to the nearest integer?
2
What is 1941 to the power of 1/2, to the nearest integer?
44
What is 2390 to the power of 1/8, to the nearest integer?
3
What is 10045 to the power of 1/5, to the nearest integer?
6
What is 113101 to the power of 1/3, to the nearest integer?
48
What is the eighth root of 81768 to the nearest integer?
4
What is the eighth root of 1297 to the nearest integer?
2
What is the third root of 114734 to the nearest integer?
49
What is 3042 to the power of 1/4, to the nearest integer?
7
What is the fourth root of 17645 to the nearest integer?
12
What is 46125 to the power of 1/3, to the nearest integer?
36
What is the square root of 1197 to the nearest integer?
35
What is the square root of 1548 to the nearest integer?
39
What is 1025 to the power of 1/3, to the nearest integer?
10
What is the square root of 979 to the nearest integer?
31
What is the ninth root of 24795 to the nearest integer?
3
What is 46459 to the power of 1/2, to the nearest integer?
216
What is 3535 to the power of 1/7, to the nearest integer?
3
What is 898 to the power of 1/8, to the nearest integer?
2
What is 10982 to the power of 1/2, to the nearest integer?
105
What is 8192 to the power of 1/6, to the nearest integer?
4
What is 52845 to the power of 1/3, to the nearest integer?
38
What is the seventh root of 895 to the nearest integer?
3
What is the sixth root of 1441 to the nearest integer?
3
What is 2436 to the power of 1/2, to the nearest integer?
49
What is the sixth root of 2432 to the nearest integer?
4
What is 15290 to the power of 1/3, to the nearest integer?
25
What is the seventh root of 7234 to the nearest integer?
4
What is 1449 to the power of 1/2, to the nearest integer?
38
What is the cube root of 11960 to the nearest integer?
23
What is the third root of 119954 to the nearest integer?
49
What is the cube root of 89793 to the nearest integer?
45
What is 27108 to the power of 1/6, to the nearest integer?
5
What is 11808 to the power of 1/6, to the nearest integer?
5
What is 43450 to the power of 1/2, to the nearest integer?
208
What is the square root of 2269 to the nearest integer?
48
What is 1946 to the power of 1/2, to the nearest integer?
44
What is the third root of 3501 to the nearest integer?
15
What is 17658 to the power of 1/2, to the nearest integer?
133
What is 87980 to the power of 1/5, to the nearest integer?
10
What is 3462 to the power of 1/2, to the nearest integer?
59
What is the third root of 72575 to the nearest integer?
42
What is 1099 to the power of 1/9, to the nearest integer?
2
What is 1435 to the power of 1/2, to the nearest integer?
38
What is the seventh root of 5563 to the nearest integer?
3
What is the sixth root of 122112 to the nearest integer?
7
What is 16081 to the power of 1/7, to the nearest integer?
4
What is the cube root of 323 to the nearest integer?
7
What is the third root of 359 to the nearest integer?
7
What is the sixth root of 5114 to the nearest integer?
4
What is the third root o
|
{
"pile_set_name": "DM Mathematics"
}
|
)/r*(-3)/(-2). Which is bigger: 31/4 or o?
31/4
Let s = 887863/178 - 4988. Let m = 4.9 - 5. Is m bigger than s?
False
Let q = -1507226112 - -173719867219935/115258. Let m = q - 10/341. Is m less than or equal to 0?
True
Suppose -2*a - 4*i - 36 = 0, a - 6 + 38 = 5*i. Let k(f) = -23*f**2 - 14*f + 1 - 14*f + 29*f. Let w be k(-1). Which is smaller: a or w?
w
Let n = 0 + 0.2. Let q = 0.3 - n. Let x be (-38 + 39)/(1 - 2) - -10. Are q and x non-equal?
True
Let s(x) = x**3 - 2*x**2 - 3*x - 1. Let j be s(3). Let g be 9 - ((-513)/(-255) + 12 + -5). Is j at least g?
False
Let u be (-7 - 2) + 3 + -2. Let z be (u/10)/(38/(-95)). Let n be 6/2 + 36/(-42). Is n at most z?
False
Suppose 127*j = 120*j - 350. Let a be (4 + 0)/(-2)*(-2448)/(-96). Is a greater than j?
False
Let w(v) = v**3 + 3*v**2 + 3*v + 3. Let m be w(-2). Suppose -5*s + 4*s = -m. Let a be -6*-6*(-8)/(-528). Which is smaller: s or a?
a
Let y be (-250)/(-4)*616/(-35). Let g be (-380)/y*140105/(-174). Let h = -1669/6 - g. Which is smaller: h or -1?
-1
Let b(h) = -111*h + 2551. Let x be b(16). Which is bigger: x or 772?
x
Let q = -1490 - -1327. Which is greater: -162 or q?
-162
Let g be 166 - (-4 - (-4 - 3/1)). Let y = -164 + g. Is -3/115 not equal to y?
True
Let j = 15585 + -15585. Which is smaller: j or 3/971?
j
Suppose 32*t = 2*f + 28*t + 16, 3*f + 8 = 2*t. Suppose 4*p + 3*z + 47 = f, -2 = p - 4*z + 5. Which is smaller: 8/9 or p?
p
Let m be (-4)/(-74) - (1422/(-79) - (-2407)/37). Suppose -t + 33 = 4*d - 2*t, 35 = 5*d + 5*t. Which is greater: m or d?
d
Suppose 1401*a + 12 = 1398*a. Let l be (-1263)/(-6)*(a - (0 - 2)). Which is bigger: -420 or l?
-420
Let p = 487 + -536.5. Let u = p - -49.74. Are -7 and u unequal?
True
Let n be 16/5*(12 + -7). Let d = n + -17. Let o be 156/(-36) - (-1 - 5/(-3)). Which is bigger: d or o?
d
Let j = 21 + -3. Suppose 0 = 3*o + 12 - j. Let m(z) = z**3 - z**2 - 2*z. Let y be m(o). Which is bigger: y or -2?
y
Let j be 20/36*-3*(-4)/30. Let b = -309 + 295.1. Which is greater: j or b?
j
Let n(p) = -4*p - 8. Let l be n(-5). Let t be l/(-572)*22398/(-27). Let x = 192/11 - t. Which is smaller: x or 0?
0
Let l = 0.017 + 0.783. Is 195 at most as big as l?
False
Let f = 27.952 + 0.048. Let z = 2351/4 - 608. Let o = -20 - z. Which is bigger: o or f?
f
Let r be -9*((-1)/(-11) + (-8)/1056). Is -718 != r?
True
Let i = -39.5755 + -0.9145. Which is smaller: i or -0.2?
i
Let p = 51047 + -18223760/357. Is p bigger than 0?
True
Let o = 2054 + -1070136/521. Let b = o + 5743/3126. Which is smaller: b or 0.01?
0.01
Suppose r - 3*g - 1 = 3*r, 2*r - 23 = 5*g. Let y be -46 - (2 - 0) - (-2 + r). Let t = y + 76. Is t < 26?
False
Let k(q) = -29*q**2 - 46*q - 156. Let j be k(-5). Which is smaller: j or -1949/3?
j
Let u(h) = 2*h**2 - 17*h - 15. Let l(t) = -t**2 + 6*t + 5. Let d(y) = 8*l(y) + 3*u(y). Let q be d(-2). Is -8 at most q?
True
Suppose -4*p + 0*p = 0. Let x = -0.13156 - -12.20456. Let v = 0.073 - x. Is p < v?
False
Let c be (-7 - -29)*(25/(-790) - 0). Which is greater: 0 or c?
0
Let i = 0.953 + -0.548. Let c = i - 108.405. Is c > -2/9?
False
Suppose 4*i + 138 = -34. Suppose -22 = -10*r + 108. Suppose -17 = c + 5*l, 2*c + r = l - 76. Is c != i?
True
Suppose -13*r + 3009 = r + 3*r. Which is greater: r or 181?
181
Let w = -3490 - -342017/98. Let t be (69/(-92))/(6*6/288) - -5. Which is bigger: w or t?
w
Let w be -23 - (27 + (-16081)/65). Which is bigger: w or -0.5?
w
Let l = 122 - 125. Let b(m) = -2*m**2 + 22. Let n be b(l). Let c = 15 - 22. Is c less than or equal to n?
True
Let h(i) = -i**2 + 14*i - 5. Let s be h(9). Let r be 94*(-2)/(-6)*(-60)/s. Is -48 bigger than r?
False
Let m(b) be the third derivative of 7*b**4/24 + 40*b**3/3 - 31*b**2. Let a be m(-20). Is 0 less than or equal to a?
False
Let r = -87.92 - 0.08. Let x = -2812 + 2905. Let u = r + x. Which is greater: u or -1?
u
Let u = -3 + 2. Let c = u - -2. Let b be 40/(-36) - 17422/2529. Is b less than c?
True
Suppose 9707 = -9*y - 14998. Let r = 660/11557 + -31761963/11557. Let z = y - r. Which is smaller: 3 or z?
3
Suppose 50*u = -y + 51*u - 3303, 3*u = 8*y + 26454. Is y greater than or equal to -3308?
False
Let c = 34/67 + -27405/268. Is -101 equal to c?
False
Let o be 7 + (2 + -3)*(3 - 1). Let g be -2*(o + 1416/(-282)). Which is bigger: g or 0?
g
Let f(g) = -3*g - 31. Let w(c) = -c. Let i(z) = -f(z) + 5*w(z). Let t be i(6). Is 14 <= t?
True
Let p(s) = -s**3 + s**2 - 1. Let o be p(-1). Let g be 19 + -4 - o/(-3). Let c = 290 - 276. Which is smaller: g or c?
c
Let b = 4749 - 4751. Is 4.7 <= b?
False
Let a = -1 - -15. Suppose -15*i + a*i + 36 = 0. Suppose -2*g + i = 2. Which is greater: 19 or g?
19
Suppose -152 = -28*w + 67*w - 20*w. Suppose 3*k + k = -56. Let u be 184/(-28) - (-6)/k. Which is smaller: w or u?
w
Let y be 579/(-9)*(-26)/(-39). Which is bigger: y or -44?
y
Let c = 115721/4 + -28930. Which is smaller: 26/17 or c?
c
Let s(g) = g**2 + 33*g - 106. Let d be s(3). Suppose -20 + 28 = d*p. Is p less than or equal to 43?
True
Let h = -108191/92 + 1176. Suppose 7*g + 3*x + 2 = 11*g, 8 = -2*g - 3*x. Which is smaller: g or h?
g
Suppose 23 = -4*g - 5*t + 10*t, 0 = t - 3. Let z be (-16)/g + 0 + 47. Which is greater: z or 56?
56
Let b(q) = -4*q**2 - 38*q - 13. Let z be b(-9). Suppose c + 11 = -3*i - 241, -z*i - c - 422 = 0. Which is smaller: -83 or i?
i
Let f be 20/12*(-4)/42*-93. Let b = -11/7 - f. Is -16 < b?
False
Suppose -2*a = -3*o + 99, 9*o - 6*o - 5*a - 90 = 0. Let k = o - 52. Is -4 at least as big as k?
True
Let w(b) = 591*b - 50. Let p be w(-5). Let a = 1372 + p. Let k = 44083/27 + a. Which is smaller: 0 or k?
k
Let u = -4643 - -18227/4. Which is greater: -87 or u?
u
Let p be (10917/(-15))/((-228)/(-1710)). Is p at most -5458?
True
Suppose -34*q = -23*q + 198. Let s be (-9)/(-6)*q/27. Which is smaller: s or -9/5?
-9/5
Let f be (25/120)/((-4)/540). Does f = -27?
False
Let z be (-18)/((-9576)/(-98210)) - 4/(-38). Let f = 22780539691/218 + -104497704. Let n = f + z. Is -1 > n?
False
Suppose 5*t - 18 - 17 = 0. Let v be 96/(-10)*(2 - t). Suppose -2*d - 2*c = -v, -d = 2*c + 3*c - 16. Is 26 less than or equal to d?
True
Suppose 173*q - 178*q + 4*o = 470, q + 2*o + 108 = 0. Which is smaller: q or -165?
-165
Suppose 0*l + 5*k - 140 = -5*l, 0 = 5*k - 20. Suppose -l*d - 22 = -22*d. Is -19/2 != d?
True
Let u be ((-57)/(-18) - 3)*(-21 - -156)*22. Do u and 495 have different values?
False
Let i(r) = r**3 + 14*r**2 - 4*r + 122. Let x be i(-15). Which is greater: x or -310/7?
x
Let u = -0.02723 + 0.02723. Suppose 3*g = 3*c + 267, 0 = 5*g - 3*c - 290 - 159. Which is bigger: g or u?
g
Let h = -495 - -514. Suppose -9*p + h*p = 8*p. Are p and -4/51 equal?
False
Let n be -1 - 5/(25/84). Let d = n - -2092/115. Is d smaller than 0?
False
Let r = 3124 + 1444. Let m = 4591.97 - r. Let z = 24 - m. Which is greater: z or 0.02?
z
Let f = 268 - 270. Let g(y) = -y**3 + 7*y**2 - 4*y - 14. Let z be g(6). Is f >= z?
True
Suppose 10*o + 2*d = 5*o - 27, -4*o = 5*d + 25. Let i be (24/240)/((-6)/o). Which is smaller: -13 or i?
-13
Let o(b) = 7*b - 34*b + 4*b**2 - 3*b**2 - 102. Let g be o(30). Let p(a) = a**2 + 6*a - 5. Let q be p(-5). Which is smaller: q or g?
g
Let c = -0.03855 + 0.15855. Which is greater: 272/5 or c?
272/5
Let d be (-1*625)/((-1)/2). Let z be 41277/33 + 6 + -6. Let q = d - z. Which is bigger: -2 or q?
q
Let i be ((-7)/(5670/852))/((-2)/10). Is 4 greater than i?
False
Suppose -11*y = -23*y. Let q(m) = -2*m**3 + m**2 + 4*m. Let x be q(y). Which is smaller: x or 3/47?
x
Suppose -46356 + 46528 = -43*r. Suppose -16 = 3*i - 3*q - 4, -i + 6 = 4*q. Is r bigger than i?
False
Let s = -270 + 273.24. Let o = s - 0.04. Let b = -0.2 + 0.1. Is b equal to o?
False
Let p = 2178/19 + -44702/323. Is -23 at least as big as p?
True
Let p(q) = -7*q - 68. Let j be p(-23). Let t = 0.002 + -0.002. Is t less than j?
True
Let n = -2735.7 + 2737. Are n and -2/23 non-equal?
True
Suppose 2*x + 14*x = -12*x - 252. Suppose 0 = 2*c + 4 + 6. Is c at most x?
False
Suppose 5*p - 10 = -450. Which is smaller: p or -89?
-89
Let r = -25329 - -22717. Are r and -2615 unequal?
True
Let j = 10.3 + -1.3. Let x = j + 2. Let r = -16095 + 16094.9. Is r smaller than x?
True
Let m be ((-173527410)/(-8208235))/37 - 1/((-14)/(-8)). Which is smaller: m or 1?
m
Suppose 0 = -45*v - 53*v + 60
|
{
"pile_set_name": "DM Mathematics"
}
|
o + 5*r for o.
-4
Let q = -221 - -385. Let d = q + -153. Solve -3*u + 13 = -6*o + 2*o, -3*o + u - d = 0 for o.
-4
Let v = -37 - -38. Let q be v/1 - (7 + -20). Solve 4*k = -o + 7, -k + 2*k = 5*o - q for k.
1
Let h = 50 + -46. Suppose 5*u = 2*b + 11, 0 = -2*u - 10*b + 6*b + 14. Solve -h*k + 0*j + 11 = u*j, 5*k - 40 = 5*j for k.
5
Let k be -25*((-774)/45 + 17). Solve 0 = 4*f - 8, o - k*o + 2*f + 16 = 0 for o.
5
Let c(n) = -7*n + 6 - 17 + n**2 + 5*n + 6. Let t be c(4). Let f = 17 - 12. Solve -t*r + 4 + 1 = -2*k, 0 = 2*k + f*r + 13 for k.
-4
Suppose -2*f = -5*f - 4*h - 8, 45 = 5*f - 5*h. Solve 2*i - 5*o - 22 = i, -5*i - 35 = f*o for i.
-3
Suppose 209*h = 203*h + 30. Solve h*m + 21 = -8*q + 11*q, -2*m - 3*q = 0 for m.
-3
Suppose -114*f + 119 = -34*f + 39. Solve -4*k - 28 = -4*d, -f = 7*k - 4*k + d for k.
-2
Let q = -6734 - -6749. Suppose -6*x + 2*x + 5 = k, 0 = -k + x. Suppose -3*l + 4*m - 6 = -k, l + 2*m - q = 0. Solve y + l*h = 2*y + 8, -2*y - h - 5 = 0 for y.
-3
Suppose 397*w = 390*w. Suppose 0*u - 2*u + 26 = 0. Solve w = -3*y - 2*j, -2*y = -j - 2*j - u for y.
2
Suppose 60 = 2*k + 2*k. Suppose 5*m - k - 35 = 0. Let p be (-10665)/(-1422) - 10/4. Solve -p*f + 4*q - 14 = m, 2*q = 2 for f.
-4
Suppose 103 = 28*r - 9. Suppose -d + 0*d = -33. Suppose 6*p + 3 - d = 0. Solve 15 = g - p*v, g + r*v + 15 = -v for g.
0
Let a be 1*((-27)/(-6))/9*10. Let g be a/10 - (-1 + 14/(-4)). Solve -10 = 4*l - 2*r, 0 = -5*l + r - 3 - g for l.
-1
Let y(l) = -4*l**2 - 187*l + 444. Let c be y(-49). Solve -c = 3*h - 3*k, 9*k = 4*h + 13*k - 12 for h.
1
Let f be (-5)/(-4)*(-5)/(5/(-4)). Solve f*c = 10, 4*a - 3*a - 11 = -4*c for a.
3
Let u(p) = 26*p - 75. Let b be u(3). Suppose -b*c = 6*n - 2*n - 57, -5*c + 72 = -n. Solve -3 = l - 5*l - 3*i, 0 = -4*l + i + c for l.
3
Let y = -400 - -370. Let p be (6/4)/((-15)/y). Solve -2*z + 3 = f, -4*f - 1 = -p*f for z.
2
Suppose 4*f = -5*x + 11 + 60, -3*f - 3*x + 57 = 0. Suppose -69 = -9*h - f. Solve -h*j + 2*n = -16, -3*j - j + 20 = -4*n for j.
2
Let y(d) = -d**2 - 13*d - 40. Let b be y(-7). Let c be (5 - (1 + 4))/((-2)/b). Solve 2*p - o = -2, 0 = -5*p - 2*o - c*o - 5 for p.
-1
Let f = 28658 + -28633. Solve -9*g - 5*k + f = -g, -g = -k + 5 for g.
0
Let j(t) = -5*t - 32. Let k be j(-7). Let s be (k - (8 - 3)) + 0 + -102. Let i = 107 + s. Solve -4*l = 2*w - 15 - i, -5*w = 2*l - 29 for w.
5
Suppose 120*d + 300 = 17*d + 815. Solve d*n = -3*j - 34, j + 174*n - 178*n = 17 for j.
-3
Let u = -51 - -67. Let c be (-26)/(-7) - u/(-56). Suppose v - 6 = -a, c*v - 39 = -0*v + a. Solve -3*p + 6 = p - 5*t, -p + v = -5*t for p.
-1
Let m be 4/18*-6*54/(-12). Let u be 2/m*(-13 - 2). Let d(r) = 5*r + 27. Let c be d(u). Solve -c*h + 2*s = 0, 2*s + 2*s - 5 = 5*h for h.
-5
Suppose 4*o = i - 34, 84*o - 11 = 4*i + 89*o. Solve i = -3*k + p, -3*k - 18 = -5*p - 0*p for k.
-1
Let b(i) = 5*i**2 - 9*i - 2. Let r(u) = -6*u - 76. Let f be r(-13). Let s be b(f). Solve 3*g - 2 - 4 = s, 0 = -o + 2*g for o.
4
Suppose -13 = -d + 5*f, 19*d - 18*d + 5 = -4*f. Solve 12 = -4*n, -5*n = d*o - 26 + 35 for o.
2
Let x be 84/(-182)*26/(-4). Solve -3*f = -x*w + 27, -2*w - 4 = -3*f - 27 for f.
-5
Let f = -3782 + 3790. Solve b = 4*y - f - 12, -15 = -3*y + 5*b for y.
5
Let r = 2336 + -2328. Solve 4*p + 4*n = -r, 0 = -25*p + 23*p - 3*n - 8 for p.
2
Suppose 92 = -45*f + 115 + 67. Solve 13*d - 12*d - 6 = 5*z, d - f*z - 3 = 0 for d.
1
Let s be (0 - -3)*(-4)/((-36)/(-15)) - -9. Solve -a + r - 6 = 0, -s*r = -15 - 1 for a.
-2
Suppose -56*v = -68*v + 60. Solve -2*b = 5*i - 7, v*b - 5*i + 34 = -1 for b.
-4
Suppose -c + 4 = -2*d + 18, 3*d = 9. Let x = c - -39. Suppose 3*f = 4*s - x, -3*s - 6*f = -3*f + 3. Solve 0 = -5*n - 4*j + 5, 3*j = s*n - j - 4 for n.
1
Let m(r) = -r**2 + r - 24. Let g = -16 + 24. Let j be m(g). Let a be j/(-5) + -5 - 0. Solve 2*t + 0 + a = n, 4*t = 3*n - 23 for n.
1
Let a = -4 - -8. Suppose -4*v - 8 = -v + 16, -30 = -2*f + 3*v. Solve m = -2*z - f + 10, m = z + a for m.
5
Let j be (-8216)/(-234) + (-1)/9. Suppose -2*x + 5*g + 25 = 0, 0 = -11*x + 15*x - 5*g - j. Solve 0 = -x*z + l + 30, -2*z = l + l for z.
5
Let n be (-44)/(-11) - (-13)/(78/12). Suppose -4*u + w - 3*w = -10, -4*u - 20 = -4*w. Solve -2*d + u*d - n = q, d + 4*q + 3 = 0 for d.
-3
Suppose -12*p + 15*p = 27, 5*k + p = 14. Solve 0 = h + g - k + 2, 4*g = h + 21 for h.
-5
Let m(y) = -2*y - 6. Let z be m(-5). Solve 3*i = -z*c - 2 - 2, -c + 18 = -4*i for c.
2
Suppose -l = -2*l - 3*z - 5, 5*z - 25 = -5*l. Solve -2*r = 4*k + l, r + r = -k - 1 for k.
-3
Let y be (93/6)/(2/4). Let h = y + -27. Suppose 5*a - 90 = 5*t, -4*t = 4*a - 0*t - 88. Solve 0 = h*f + a, -2*v + 20 = -7*v - f for v.
-3
Let z be (-4)/18 - 1079/(-117). Let k be ((-27)/(-12))/z + 78/8. Suppose -6*o + k + 2 = 0. Solve -o*n + f = 2*f - 6, 4*f = -8 for n.
4
Let m = -166 - -168. Suppose 4*i - 27 - 77 = 0. Solve 5*o - m*o = -5*b + 2, 3*b - 5*o = -i for b.
-2
Let v(t) = -1454*t**3 + 1 - 7*t + 0 + 1453*t**3 + 6*t**2. Let d be v(4). Solve -d*o = 5*u - 10 - 15, 5*u - 25 = 2*o for o.
0
Let a(q) = -357*q + 2503. Let z be a(7). Solve 75*l - 8 = 71*l, -k + z*l = 8 for k.
0
Let y be (3 + -4)*1*12. Let j be 3/(y/10)*-2. Suppose -i = -j*i + 8, 0 = 4*b - 2*i - 4. Solve -3*x + 2*a - 14 = 0, -b*a - 2 = 3*x - a for x.
-2
Suppose 5*t - 41 = 2*a - 3, t + 19 = -a. Let l = 14 + a. Let f(i) = i**2 - 25. Let c be f(l). Solve -k - 10 = -c*p + 5*p, -k = -p - 8 for k.
5
Let u be (-5)/((2/(-2))/1). Suppose 0 = -2749*d - 2878*d + 5434*d + 772. Solve o + 4 = -3*h, 3 = d*o + 4*h - u for o.
5
Suppose -326*k + 18 = -320*k. Suppose -4*j - 3*y + 43 = 2*y, 4*y + 40 = k*j. Solve -3*i + 24 = 3*t - 6*t, -3*i = t - j for i.
5
Let n be (2/2 + 1)*13916/49. Let y = n - 567. Solve -2*r - 5*g - 10 = 0, -5 = 3*g + y for r.
0
Let u(p) = -94*p**2 + 284*p + 1. Let r be u(3). Solve 7 = -6*h + z - r, -5*z + 8 = h for h.
-2
Let l be (-3)/(1/2*(-1)/((-208)/(-48))). Solve -23 = -3*v + 5*d, -d + l = 30 for v.
1
Suppose -4*d - 299 = b, b - 4*d + 307 = -0*b. Let a = b - -319. Solve 2*c + a = -4*x, 3*c = -c + 2*x + 8 for c.
0
Suppose -7*n = 4*a - 3*n, 0 = 4*a + 5*n + 3. Suppose -p + 6*p + a*h = 16, 0 = -3*p + h + 18. Solve 3*b = v + 2*b - p, 0 = -4*v - 3*b - 15 for v.
0
Let u be 365 + (-1 - (-7 + 5)). Let z = -341 + u. Solve 5*v - 3*h = 25, -5*v - 4*h + h = -z for v.
5
Let c(w) = -6*w + 21*w - 168 - 11*w - 6*w - 4*w. Let g be c(-28). Solve 8 = -3*d + t - 2, g = 3*d - 2*t + 11 for d.
-3
Suppose 0 = -i + 3*i - 4. Let z(p) = -p**2 + 9*p - 5. Let s be z(5). Suppose 0 = 4*t - t - s. Solve -3*b - t*j - 20 = 0, -b + i*b = -5*j - 10 for b.
-5
Let t be 16*60/2240 - (-9)/(-21). Solve -3*m + g - 14 = t, -5*m - 2*g - 2*g = -5 for m.
-3
Let w = 296 - 296. Let l(a) = -a**3 + a**2 + 3*a + 1. Let v be l(-2). Solve w = 2*f - 3*u - v, -4*f = -5*u - 4 - 9 for f.
2
Let p(r) = r**2 - 242*r + 273*r + 12 + 2*r**2 + r**3 + 8*r**2. Let u be p(-5). Solve a + 5*s - 2*s = u, -4*s = 2*a - 12 for a.
4
Suppose o = -0*o - 8. Let k(j) = -8*j - 7. Let y be k(o). Suppose -5*q - 10 = -s + 19, 5*s = 3*q + y. Solve h + 15 = -2*h - 5*z, 2*h = -3*z - s for h.
0
Let g = -174 - -156. Let b be 1 - (21/(-2) - (-9)/g). Let t = -5 + 8. Solve -3*l - 1 = -10, -3*q - t*l = -b for q.
1
Suppose 7*z - 9*z = 4*p + 160, -3*p = -12. Let l = z - -111. Solve -5*f + f - 3*j = l, 5*f + 26 = -j for f.
-5
Let l = 198 - 180. Let w(r) = -r**2 + 22*r - 72. Let v be w(l). Solve v*z - 25 = -2*z - 5*i, 5*z + 5*i = 40 for z.
5
Suppose 43*m - 38*m = 90. Solve -r - 5*k + m = 0, 0 = 2*r - 7*r + 5*k for r.
3
Let o(m) = 10*m**3 - 4*m**2 - 4*m - 2. Let l be o(-2). Let v = l - -144. Let n = v + -52. Solve 29 = 4*b + 5*h, 0 + 12 = 2*b + n*h for b.
1
Suppose -195 = -82*z + 17*z. Solve -4*o - 4 - 20 = -2*l, 3*o + z*l = -9 for o.
-5
Let c(f) = -f**3 + 11*f**2 + 175*f - 1921. Let i be c(11). Solve 3*m + 28 = 6*m + i*s, 4*s = -4*m + 32 for m.
4
Let m = 5109 - 5104. Solve 2*t - 3*t = -m*q + 21, -1 = t for q.
4
Let m = -926 + 929. Suppose 4*x = -b + 3*x + 3, b + 3 = 5*x. Suppose 0 = q + 4*s + 9, -b*q - 5*s = -m*s. Solve 3*h + 3*i - 9 = 0, 5*h - 18 = q*i - 3 for h.
3
Let r = 8 + -12. Let l(z) = z + 4. Let p be l(r). Let s be 336/126 - 1/(-3). Solve p = s*v + g - 14, -g - 3 - 4 = -4*v for v.
3
Let w(u) = -27*u - 45. Let h(j) = 78*j + 136. Let t(k) = 4*h(k) + 11*w(k). Let v be t(-3). Solve n - s = 1,
|
{
"pile_set_name": "DM Mathematics"
}
|
nding order.
1, -1, z
Suppose -4*d + 12 = 2*d. Put 1, d, 4 in descending order.
4, d, 1
Suppose 5*s = -5*t - 30, -9 = 3*t - 2*s - 1. Suppose l - 3*i + 0*i = 14, 14 = 4*l + 2*i. Suppose 2*a - l = -3*a. Put a, 4, t in ascending order.
t, a, 4
Let f be (-2)/4 + (-6)/4. Let a be (-10)/14 + f/7. Suppose 28*y - 31*y = 15. Sort y, 2, a.
y, a, 2
Let n = -52 - -54. Sort 0.13, 1, n, 0.1 in increasing order.
0.1, 0.13, 1, n
Suppose 5*a - 9 = 16. Suppose -5*t = -4*n + 40, -n + 5*t + 12 = -13. Suppose -n*u = g + 10, -a - 12 = 4*g - 3*u. Sort g, 4, -4.
g, -4, 4
Suppose -14*r - 2*r = -32. Sort 0, r, -3, 1 in descending order.
r, 1, 0, -3
Let v(m) = -1 + 3*m**3 + m - m - 9*m**3. Let h be v(1). Let n = h + 8. Put 4, -4, n in decreasing order.
4, n, -4
Let x be (-5)/(-10)*(-10)/1. Sort -2, 5, x in decreasing order.
5, -2, x
Let a = 9 - 9. Suppose 4*y = -2*v + 86, 3*y - 2*v = -0*v + 54. Suppose -j - 4*j = y. Put 5, j, a in increasing order.
j, a, 5
Let o = -1/30 + -3/10. Let v = -0.5265 - -0.0265. Sort v, -4/5, o.
-4/5, v, o
Suppose 7*b - 2*b - 50 = 0. Suppose b = -6*v + v. Put -1, 2, v in descending order.
2, -1, v
Let q(j) = -j**3 + 4*j**2 - j + 5. Let h be q(4). Let t = 2 - h. Let p be 7*t/4 - 2. Sort -1/2, p, 0.1 in descending order.
0.1, p, -1/2
Let b = -18.1 - -19. Put -2/7, -1, b in ascending order.
-1, -2/7, b
Let i = -234/95 + 24/19. Let s = -726 + 725.5. Sort s, 2, i in decreasing order.
2, s, i
Suppose 1227 - 302 = -5*m. Let p be (-188)/(-10)*118/(-12). Let t = m - p. Put t, -4/7, -1/8 in increasing order.
-4/7, t, -1/8
Let u = 1 + 3. Let c = 1982/11 - 180. Sort c, 2, u in increasing order.
c, 2, u
Let f = -21 + 20. Put -7, f, -3, 0.3 in decreasing order.
0.3, f, -3, -7
Let k be (-6 - 1) + (-1)/(-1). Let n be (0 - -5) + k/2. Suppose -2 = -z - 5*c, n*c + 3 - 2 = -z. Sort -1, -4, z in descending order.
-1, z, -4
Suppose 0*v - v = -16. Let l be (-2 - v/(-6))*-3. Let w be (-4 - -5)/(l/(-8)). Sort 5, -1, w in descending order.
5, w, -1
Let k = 3.2 - 2.8. Put 2/11, k, -0.2 in decreasing order.
k, 2/11, -0.2
Suppose 3*f = -5*x + 41, -3*f = -3*x - 10 + 1. Let j = 11 - f. Suppose 3 = 2*c - 3*c, -j*q + 1 = -3*c. Put -5, q, 2 in descending order.
2, q, -5
Let b = 6 + -3. Suppose b*k - 1 = -w + 1, -3*k = -2*w - 5. Let d be (10/(-4))/(w/(-2)). Put 5, d, 0.3 in decreasing order.
5, 0.3, d
Suppose 3*t = -i - 9, -i + 12 = -6*i - 4*t. Suppose i*a = -4*a - 8. Let z be -1 + 0 + 0 + 0. Sort a, z, -4 in ascending order.
-4, a, z
Let v = 24.2 - 24. Sort 2/5, -4/7, v in decreasing order.
2/5, v, -4/7
Suppose 18 = 2*k + 6. Suppose c + c = k. Let l = 0 + 4. Put l, c, -2 in ascending order.
-2, c, l
Let k = 1.7 + 2.3. Sort 4/7, k, 1/5 in descending order.
k, 4/7, 1/5
Let t be ((-3)/6)/((-2)/(-4)). Let d(a) = -4*a**3 + 3*a**2 + 3*a + 1. Let u be d(t). Sort 2, u, 4.
2, 4, u
Let s be (24/75)/(36/10). Let k = s + 38/585. Let l = -5.1 - -1.1. Put k, l, 0 in descending order.
k, 0, l
Let p be -4 + 1 + -6 + 10. Put p, 5, 0 in decreasing order.
5, p, 0
Let y = 1.3 + -1.1. Sort 1, 0.5, -1/2, y.
-1/2, y, 0.5, 1
Let m(d) = d**3 + d**2 + d + 5. Suppose 0*g - 3*g = 0. Let z be m(g). Suppose 0*c + 20 = -z*c. Sort -2, 4, c in increasing order.
c, -2, 4
Let g(c) = c**3 + c - 1. Let j be g(1). Put 0, 2, j in decreasing order.
2, j, 0
Suppose 0 = t - 3*t + 28. Let g = t + -9. Suppose 2*i + 3*i + 10 = 0. Sort 3, g, i in decreasing order.
g, 3, i
Let t be 60/(-25) - (-9)/(-15). Put 1/3, t, -4 in increasing order.
-4, t, 1/3
Let i be (-30)/(-26) + 1 + -2. Let m be (8/10)/(4/2). Sort -2/9, i, m in decreasing order.
m, i, -2/9
Let g = -0.05 + 4.05. Put 0.2, g, -8 in decreasing order.
g, 0.2, -8
Suppose 4*p = -4*r - 20, -5*r + 2*p + 4 = 1. Suppose 2*q - 6*q = -3*c + 14, 2*c - 6 = 2*q. Let s be (-2)/6*(6 + 3). Sort r, s, c in descending order.
r, c, s
Let g = 2 + -3. Put 1/6, -2, g in descending order.
1/6, g, -2
Let i = 181.8 + -165. Let z = 17 - i. Put -0.5, 0.1, z in decreasing order.
z, 0.1, -0.5
Suppose d = 4*n + 378 - 73, 5*n = -d - 370. Let t = 644 - 1141/2. Let a = n + t. Sort -2/7, a, 0.4 in decreasing order.
0.4, -2/7, a
Suppose -2*p = p. Let s(q) = q + 1. Let r be s(-5). Put p, -3, r in decreasing order.
p, -3, r
Let d = -2.6 + 3. Let j = 25 - 22. Put -2, j, d in ascending order.
-2, d, j
Let t = -15.11 - -15. Let u = -4.89 + t. Let d = u - -9. Sort 3, d, 1/6 in decreasing order.
d, 3, 1/6
Suppose -4*v + 5*b + 28 = 0, 2*b = 3*b + 4. Let w be (-4)/(-6) + (-6)/9. Suppose 9 = -3*f + 3. Put w, f, v in decreasing order.
v, w, f
Let l = -4 - -6. Suppose 2*s - 17 - 1 = -m, -4*s - m + 34 = 0. Let x = 5 - s. Sort l, 1, x.
x, 1, l
Let f = -0.76 + -0.14. Let l = f - -1.3. Put -3, -5, l in descending order.
l, -3, -5
Let t = -10.5 + 6.5. Sort -0.09, t, 1, 2.
t, -0.09, 1, 2
Let w = -4.9 + -0.1. Sort w, 1/2, 1/6.
w, 1/6, 1/2
Let z = -5 - -3. Let g be 1/(1*(-2 + 3)). Let s = -12 - -8. Put s, z, g in increasing order.
s, z, g
Let g = 47 + -52. Sort g, -3, -2.
g, -3, -2
Suppose -2*g - 6 = -4*z + 4, 0 = 5*z - g - 8. Put z, -1/6, 0.07 in increasing order.
-1/6, 0.07, z
Suppose 0 = 27*p + 10*p + 9*p. Suppose -16 = -0*k + 2*k. Put p, k, -2 in increasing order.
k, -2, p
Let m = -365/3 + 123. Let y = -0.3 - -0.5. Sort y, m, -0.2 in increasing order.
-0.2, y, m
Let l = -6 - -11. Let j = 0 + 0. Sort j, -5, l in descending order.
l, j, -5
Let j(m) = -m**2 - 5*m + 6. Let l be j(-6). Let a be -2 + (3/(-2))/(5/(-10)). Sort a, l, -0.3 in descending order.
a, l, -0.3
Let a = 16 - 16. Let m = a + 2. Sort -3, m, -1/3 in descending order.
m, -1/3, -3
Let x = -127 - -129. Put -10, 5, 3, x in descending order.
5, 3, x, -10
Let p be 108/(-5)*(-5)/329. Let x = p + -2/47. Put x, -0.5, -0.05 in increasing order.
-0.5, -0.05, x
Let i be (0 + 3/6)/1. Let w(h) = h**2 + 6*h - 8. Let v be w(-8). Let z = 7 - v. Sort z, 1, i in increasing order.
z, i, 1
Suppose 5*n + t - 11 = 4, 5*n - 3*t = 15. Suppose -1 = 2*x + n. Put 2/5, x, 0.5 in descending order.
0.5, 2/5, x
Suppose -8 = 4*x + 2*h, -5*h + 12 - 32 = -2*x. Suppose -o - o = x. Let f = 5 - 8. Sort o, f, -5 in descending order.
o, f, -5
Let p(v) = 7*v - 78. Let h be p(11). Let f = 161 - 647/4. Put h, f, 2/5 in ascending order.
h, f, 2/5
Let i = 0 + -4. Sort i, 4, 3.
i, 3, 4
Let i = -135.9 + 136. Sort 5, -1, 7, i in decreasing order.
7, 5, i, -1
Let u = -2 + 1.9. Let m = -7.4 - -1.4. Let t = 4 + m. Sort -5, u, t in ascending order.
-5, t, u
Suppose -5*a + 5*m = -5, -5 = -a + 3*m - 4*m. Suppose -1 = -b + a. Sort -5, b, 3.
-5, 3, b
Let k = 42 + -87/2. Let w be (-62)/255*27/(-6). Let h = -5/17 + w. Sort k, 1/4, h in decreasing order.
h, 1/4, k
Let z(f) = -2*f. Let p be z(-1). Let w = 0.01 + -0.41. Sort w, p, -1/7 in decreasing order.
p, -1/7, w
Let u = 0.08 + -5.08. Let s = u - -5. Sort 3, s, -0.4 in ascending order.
-0.4, s, 3
Let a = -0.295 + -0.005. Let n = 5.4 - 0.4. Let o = n + -10. Put o, -2/11, a in ascending order.
o, a, -2/11
Let k be 0 + (-2 + 2)/2. Let z = 24 + -31. Let s = z - -12. Put s, k, 0.5 in increasing order.
k, 0.5, s
Suppose 4*a - 3*h = 12, a = -h - 0 + 3. Sort 0.1, 0, a in decreasing order.
a, 0.1, 0
Let m = 0 + 0. Let f = -3 - -4. Let k = -1 + 0.7. Sort m, k, f in descending order.
f, m, k
Let w(n) be the second derivative of n**4/12 + n**3 + 5*n**2/2 - n. Let d be w(-5). Sort 5, 2, d in ascending order.
d, 2, 5
Suppose -12 = -5*r - 32. Let a = r + 7. Sort 4, a, 0 in decreasing order.
4, a, 0
Let j = -24 - -37. Let x = j - 18. Put 4, x, 2 in decreasing order.
4, 2, x
Let j = -1.3 + 0.9. Sort -1/4, j, 4 in descending order.
4, -1/4, j
Let c be (-9)/(-6)*2 - 132/(-2). Put -4, c, 5 in ascending order.
-4, 5, c
Let y = -2/39 + 5/13. Let v = -7 + 4. Sort 0.4, v, y in increasing order.
v, y, 0.4
Let p be (-1)/((-2)/(-4)*1). Let n(x) = x**2 - 1 - 2*x**2 + 3 - x. Let i be n(-3). Sort i, 1, p.
i, p, 1
Let g(j) be the second derivative of j**3/2 + 2*j**2 + 2*j. Let b be g(-3). Sort 1, -4, b.
b, -4, 1
Let i = 335/3 + -112. Sort -4, 0.1, i, -0.1 in decreasing order.
0.1, -0.1, i, -4
Let u = 17 - 12. Let d = 7 + -4. Sort 1/6, d, u.
1/6, d, u
Let q = 13.5 + -13. Let u(p) = p - p - 8 - p. Let v be u(-6). Put v, q, -1/5 in decreasing order.
q, -1/5, v
Let m = 7 - 7.3. Let g(h) = -2*h - 3. Let w be g(-3). Let b = 7 + -8. Sort w, b, m in decreasing order.
w, m, b
Let c = 0 + -0.1
|
{
"pile_set_name": "DM Mathematics"
}
|
aller: g or -1?
-1
Let o be ((-3)/(-3))/(1/(-7)). Which is greater: -12 or o?
o
Let q = 3 + -2.7. Let s(v) = v**3 + 8*v**2 + 10*v + 4. Let y be s(-6). Let a be (-4)/(y/3) + (-7)/(-12). Which is smaller: q or a?
a
Let k = 0.715 - 2.129. Let g = 0.014 + k. Which is smaller: -0.1 or g?
g
Let b = -0.029 - -0.053. Which is greater: b or 0?
b
Let i(z) = z**2 + 4*z + 10. Let f be i(-5). Let q be ((-2)/102)/(f/18). Which is smaller: q or 1?
q
Let z(p) = -p**2 - 28*p + 51. Let j be z(-30). Let c be (-8)/(1*(1 + 0)). Is c >= j?
True
Let t = 7.9 + -8. Suppose 678*y = 669*y - 468. Which is bigger: y or t?
t
Let y = 5.4 - 6. Let l = -6 - -5.6. Let g = y + l. Which is bigger: g or 0.1?
0.1
Suppose 5*b - 13 = -8. Which is bigger: -9/29 or b?
b
Let p = -1.1 + -0.7. Let o = p + 1.7. Let w = o + 0.1. Which is smaller: w or 1/3?
w
Let f be (622/(-6) + 7)/((-2)/3). Let a be (-3 - -6) + f/(-49). Let x(m) = m. Let l be x(1). Which is greater: a or l?
l
Let d(s) = -2*s - 29. Let a be d(-17). Suppose -3*h - 1 = 4*g, a*g - 3*h = h - 9. Is g at least -1/7?
False
Suppose 4*k - 200 = -176. Are 7 and k non-equal?
True
Let c = -50/99 - 14699/495. Is c greater than or equal to -31?
True
Let s be ((-30)/(-8)*-1)/(1/4). Which is bigger: -156/11 or s?
-156/11
Let q = -15 + 14. Let h = 0.035 - -23.965. Let v = h - 16. Which is greater: v or q?
v
Suppose -52*p + 2006 = 7*p. Is p equal to 47?
False
Suppose 3*y - c + 223 = -123, -5*c + 476 = -4*y. Which is smaller: y or -116?
-116
Let m be (24/(-105) + 0)*(-10)/4. Let h(c) = -2*c - 1. Let s be h(-1). Which is smaller: s or m?
m
Let j = -435/56 - -57/7. Suppose -6 + 1 = 5*z. Which is smaller: z or j?
z
Let b be (15 - 12) + (-2 - 0). Let f be 0 + (-2 - 1)*b. Which is greater: f or -0.02?
-0.02
Suppose -h - 558 = 23*g - 18*g, 2*h = -3*g - 1109. Is -552 > h?
True
Let w(c) = -2*c**2 + 10*c + 14. Let z be w(6). Suppose z*j - 7 = -5*j. Is 1/22 less than j?
True
Let k be (-40)/(-180) - (-9)/((-243)/(-210)). Which is greater: 45 or k?
45
Let m be (-4)/22 - 2/(-11). Suppose m = -n + s + 908, -5*n + 3*s + 4536 = -0*n. Let w = -6357/7 + n. Do w and -2 have the same value?
False
Suppose 29 = 3*k - 0*k + 5*s, 4*s = 2*k + 10. Let f(a) = 2*a - 11. Let h be ((-100)/(-40))/(10/24). Let l be f(h). Which is bigger: l or k?
k
Suppose 5*z = -4*h - 2, -41*h = -45*h - 12. Which is greater: z or 83?
83
Let t(l) = -2*l**2 + 67*l + 70. Let o be t(35). Is o <= -254/7?
False
Let y = -65 - -61. Let l = -6.1 + 6. Is l at most as big as y?
False
Let l = -149 - -446/3. Let r = 41.2 + -39. Is l > r?
False
Suppose -2*y = -4*d + 12, -3*y + 0*d - 6 = -2*d. Let c be (-105)/14*(1 - -5). Let m be (-506)/252 - -2 - 10/c. Is y equal to m?
False
Let o be (1/18)/((-3)/(-9))*2. Is o not equal to -25?
True
Suppose 4*i - 38 = -6. Suppose -i - 24 = 2*o. Let u = 5 + o. Which is greater: -9 or u?
-9
Let d = -24 + 24. Let v be (1/2)/((-20)/40). Are d and v unequal?
True
Let b = 20770 - 20823. Let x be 0 - (1 - (-1 - 50)). Which is smaller: x or b?
b
Let z be (-94)/8*8/(-2). Let y = 140/3 - z. Suppose -126 = -13*f - 8*f. Which is greater: f or y?
f
Let u = -230.46 - -230. Let d be (2/(-10))/((-2)/(-5)). Which is greater: u or d?
u
Let n be ((-70)/7)/((-2)/(-3)). Let p = n - -19. Suppose -1 = -p*b + b + x, -b + 5 = -5*x. Which is smaller: 0.1 or b?
b
Let d = -25225/7 + 3613. Is 9 at most d?
True
Let r(c) be the second derivative of -c**4/12 - 13*c**3/6 - c**2 - 22*c. Let g be r(-6). Is 40 < g?
False
Suppose 422 - 128 = 7*g. Let w = g + -53. Is w equal to -12?
False
Let q = -15 + 15.01. Let u = -1.99 - q. Let z = 3 + u. Is z greater than -1?
True
Let u = -2249 + 1278. Is u >= -970?
False
Let c(v) = v**2 - 8*v + 20. Let r be c(5). Let j(w) be the second derivative of -w**5/20 - 7*w**4/12 + w**3 - 11*w**2/2 + 3*w. Let g be j(-8). Is g < r?
False
Suppose -q - 1086 = -p, -77*q - 2172 = -75*q + p. Which is greater: -1085 or q?
-1085
Let k = -38 + 35. Let l be (-1)/k - (-6)/9. Which is smaller: l or -1/37?
-1/37
Let y(x) = 4*x**3 + x**2 - 2*x. Let j be y(-2). Let o(z) = z**3 - 2*z**2 - 2*z + 9. Let s be o(4). Let a = s + j. Are a and 9 unequal?
False
Let u(k) = 2*k**2 - 13*k + 11. Let f be u(6). Suppose -f*q - 109 = 41. Let t be ((-62)/3)/((-2)/(-3)). Do q and t have the same value?
False
Suppose -4*q + 234 = -5*h - 174, -3*h - 236 = 2*q. Which is bigger: -79 or h?
-79
Let x be (-2 + 28/11)*24/9. Suppose 4 = -4*p + 8. Is p less than x?
True
Let m be 4/(-30)*-6*1. Let k = -142 - -213. Let c = k + -70. Are c and m nonequal?
True
Suppose -5*w = -10*w + 80. Suppose 3*b = 2*a + 53, 62*b - 58*b + a = 56. Which is smaller: b or w?
b
Let q = 450 - 229. Which is smaller: -1 or q?
-1
Let f = 53 - 32. Suppose -22*p = -f*p + 46. Is p smaller than -46?
False
Let a = -15.275 - 0.125. Let f = a + 1.4. Let x = f + 15. Are -7/3 and x non-equal?
True
Suppose 3*x - 2*x = 2*y + 38, -37 = -x + y. Suppose 8*f - 2*f - x = 0. Let i be f/(-9) - (-28)/6. Is i bigger than 4?
False
Let n be (-5 + 4)*(-1 + 1). Let l(r) = -11*r - 154. Let u be l(-15). Which is smaller: n or u?
n
Let h = 26276839/4491 + -5851. Is -1 <= h?
True
Let h = -41 + 21. Let z(f) = 107*f - 127. Let j be z(1). Is h > j?
False
Let f = 844 + -1125. Is -283 <= f?
True
Let h(x) = -7 - 2*x + 1 + 4*x - 2. Let k be h(9). Is 10 <= k?
True
Let l(a) = 13*a + 13. Let o be l(-5). Let m = -52 - o. Is m at most 2?
True
Suppose -1292 = -5*h - 14*h. Which is greater: h or 271/4?
h
Suppose 0 = 2*a - z - 85 - 268, a + 5*z - 171 = 0. Is 176 smaller than a?
False
Suppose 0 + 25 = -b. Let w = 736.2 + -736. Is w bigger than b?
True
Suppose 4*i + 11 = -5. Suppose 0 = -w - 5*u + 3*u + 7, 5*w = -3*u. Is i greater than or equal to w?
False
Let y be (-4 - 1)*((-4)/1 - -3). Suppose 3*a + 2*q + 54 = -y, 4*q + 55 = -3*a. Is a > -23?
True
Let j be (-9 - -5)/(((-40)/5)/2). Which is smaller: -4/797 or j?
-4/797
Let j = 2/6373 - -18931/599062. Is j >= 0?
True
Let b be (-2)/(-8) + 27/20. Let q be ((-1)/(-6))/(11/33). Which is smaller: q or b?
q
Let x(c) = -71*c - 497. Let z be x(-7). Let d = -4 - -6. Suppose -o - 2*l = 11, 0 = -3*o + d*o - 4*l - 21. Is o less than z?
True
Suppose -5*c = -2*z - 13, 5*c - c + 3*z = 15. Suppose -2*i = -3 - c. Suppose -5*b + 2*p = -25, 2*b + p = i*p + 4. Is b > -2?
True
Let u = 25/48 - 659/1296. Which is bigger: 1 or u?
1
Let f = 3 + 35. Let r be (-16)/(-216)*18*444/16. Which is smaller: f or r?
r
Let i(n) = -n**2 + 35*n + 453. Let j be i(45). Which is bigger: j or 123?
123
Let n(p) = 0*p - 3 - 2 - 3*p. Let r be n(-3). Let g be (-32)/48*(-18)/4. Is r equal to g?
False
Let i(v) = v**2 - 10*v - 67. Let j be i(15). Suppose 5*a - b = 23 + 2, -5 = 5*a + 5*b. Suppose -j - a = -3*h. Is h at most as big as 6?
True
Let i = 141/4 - 2963/84. Suppose -3 + 6 = -3*k. Which is smaller: i or k?
k
Let x be 65/10 + (-3)/6. Let w = 28929 - 88757/3. Let s = w + 663. Is s equal to x?
False
Let u(b) = 4*b - 13. Let a be u(6). Let z(y) = -y**2 + 11*y - 6. Let n be z(a). Let h(p) = -p**3 - 7*p**2 - 10*p - 18. Let o be h(n). Is 4 at most as big as o?
True
Let k = 0.5 + -0.83. Let i = -433 + 434. Which is smaller: k or i?
k
Let p be (9 - 11)*(3 + (-1390)/463). Are p and 0 nonequal?
True
Let w be 14/3*(-2)/(10/(-135)). Let a be (2 + -1 - -4)*w/(-35). Which is bigger: a or -19?
a
Let g = 1.67 - 0.27. Let b = 2.3 - g. Is 0.1 >= b?
False
Let h = -4893 + 229981/47. Is 0 less than h?
True
Let h = -17 - -24. Let y = h - -4. Which is bigger: 1 or y?
y
Suppose 3*q = -5*h - 13, 0 = -2*h - h - q - 7. Let o be 1 + (h - 36/(-4)). Suppose t - o = 3*t. Which is bigger: t or -2?
-2
Let c = 164 - 164. Let y = 5/13 + -22/91. Are c and y unequal?
True
Let l = -2513743/17 + 147751. Let r = l - -116. Which is smaller: 0 or r?
r
Let s be 3 - 13/((-39)/(-36)). Let f be (-254)/9 + (-2)/s. Are f and -28 unequal?
False
Let r = -72 + 110. Let x be r/14 - (-5 - -26)/7. Which is smaller: x or 11/3?
x
Let v be -3*3/5*(-2)/26. Let n = 356/715 + v. Which is smaller: n or 1?
n
Let a = 298 - 311. Is a at least as big as -6?
False
Let g be 1 - (-1 - (-5)/2). Suppose 0 = -0*i - 2*i + 2*l, -i - 4*l - 15 = 0. Let p(n) = -n**3 - 2*n**2 + 4*n + 2. Let v be p(i). Is g at most as big as v?
False
Let v = 70.9 + -70.801. Are v and -2 nonequal?
True
Let l(w) = -8 - 2*w - 5 - 6 - 3*w. Let m be l(-4). Do -11 and m have
|
{
"pile_set_name": "DM Mathematics"
}
|
of 1 + (-1)/((-5)/(-11)) and (-4)/((-3)/x - 2/(-4))?
5
Suppose -2*n + 4*n - t - 2 = 0, -2*n + 4*t = 4. Suppose 4*h + 13 = 4*r + 1, -n*h + 2 = 0. Calculate the lowest common multiple of 8 and r.
8
Suppose d + 4*y - 40 = -y, 0 = -5*d + 5*y + 110. Suppose -767 + 47 = -16*c. What is the least common multiple of c and d?
225
Suppose 64 = 2*a - 5*x - 17, -2*x + 159 = 5*a. Calculate the lowest common multiple of 54 and a.
594
Suppose -5*d + 2*f + 108 = -0*d, -f + 1 = 0. Let l(s) = 7*s**2 + 76*s - 8. Calculate the lowest common multiple of l(-11) and d.
66
Suppose -4*f = 3*h - 35, -4*f - 10 = -5*h - f. Suppose -h*n - 4*g = g - 270, 4*n = 4*g + 208. Calculate the lowest common multiple of n and 3.
159
Let k be (-1)/2 + 170/20. Calculate the common denominator of (1 - -12*k)*(-5)/30 and ((-19)/6)/((-6)/(-4)).
18
Let d(k) = 17*k - 20. Let l be d(13). Find the common denominator of 67/10 and (l/(-6))/(2/2).
10
What is the common denominator of (-2)/(-19) - (-1877)/38 and 127/6?
6
Let a(t) = 34*t + 1620. Suppose 5*i - 5*r - 60 = 0, 0 = -r - 2*r. Calculate the smallest common multiple of a(-44) and i.
372
What is the smallest common multiple of 13156/364 + (-1)/7 and 72?
72
Let w = 441975/38 + -11629. Find the common denominator of 89/38 and w.
38
Let a = 8 - 5. Suppose -17 + 9 = -4*i. Calculate the lowest common multiple of a and i.
6
Let c(u) = 5*u + 227. Calculate the smallest common multiple of c(-35) and 8.
104
Suppose -c = -1, -z = z - 5*c + 9. Let y = z - 1. What is the smallest common multiple of (-2 + (-2)/y)*-3 and 16?
16
Suppose -2 = -4*y - 18. Calculate the common denominator of 1*(-2)/((-66)/(-93)) and (y/10)/((-16)/(-1780)).
22
Let p = 39 - 37. Let v(b) = -2*b + 5. Calculate the least common multiple of 6 and v(p).
6
Let o = 76 - 62. Calculate the smallest common multiple of 572 and o.
4004
Let q be ((3770/360)/(-29))/(2/(-3966)). Let u be 478/(1 + 1)*3. Let d = q - u. Calculate the common denominator of 79/12 and d.
12
Suppose 0*s - 3*s + 4*o = -176, 2*o = -s + 62. What is the least common multiple of 40 and s?
120
Calculate the lowest common multiple of 40/(-12) + (-16)/(-12) + 146 and 72.
144
Suppose -r - 17 = r - p, 4*r = 4*p - 36. Calculate the common denominator of r/14 + -3 + (-3845)/(-1155) and 10/51.
561
Find the common denominator of (-1)/4 + ((-295)/100 - 0) and 23/30.
30
Suppose -5*s + 8*s = 0. Let j be 4/8*s + 12. Find the common denominator of -34/11 and j/(-42) - (-422)/56.
44
Let d = -46 - -47. Calculate the common denominator of -2 - ((-564)/64 + d) and 151/60.
240
Let l = -36549/2 - -19325. Let z = -1020 + l. Calculate the common denominator of z and 57/4.
4
Suppose -2*j - 149421 + 32601 = 0. Let o be 12/66 + 110357/j. Let l = -4/531 - o. What is the common denominator of l and 37/10?
10
Let g be 1 + -1 - 11138/(-10). Let r = 1122 - g. Let f = r + -527/60. What is the common denominator of 71/20 and f?
60
Let d = 30583/156 - 2580/13. Calculate the common denominator of d and 41/237.
948
Let c be 4/(-24) + (-52)/(-24). Suppose -5*w = c*n - 50, 25 = -3*n + 8*n. Calculate the least common multiple of 18 and w.
72
Calculate the common denominator of 17/20 and 694/(-2632) + (-3)/(-7).
940
Let w = -416167/133 - -3129. Let c = -5493/532 - w. Find the common denominator of c and -87/2.
4
Suppose -2*k + 44 = 5*l, k + 2*l - 31 = -11. Let m be (-45)/(7/(56/(-12))). Let v = 42 - m. What is the least common multiple of v and k?
12
Let x = -1 + -2. Let j(a) = a**3 + 3*a**2 - a + 5. Let b be j(x). Let u(o) = o**2 - 4*o - 16. Calculate the lowest common multiple of 20 and u(b).
80
What is the smallest common multiple of ((-2)/5)/(5 - (-462)/(-90)) and 18?
18
Suppose 5*o = 3*d + 73, 6*d - 65 = -5*o + d. Suppose -k = -3*c + k + 29, c + 5 = -3*k. What is the lowest common multiple of o and c?
14
Let k be (-18930)/9*(-9)/6*1. Let s = k + -31439/10. What is the common denominator of s and 85/2?
10
Suppose -3*f + 6 = -6. Suppose f*i + 0*i = 16. What is the smallest common multiple of i and (-1 - 0) + (19 - 2)?
16
Suppose 90*d = 82*d + 80. Suppose 2*n = -4*z + 414, 4*z + n - 100 = 319. Calculate the least common multiple of d and z.
530
Suppose 4 = 3*t - 4*t. Calculate the common denominator of t/(-10) - (-219)/165 and 15/14 + 6/4.
77
Find the common denominator of -77/78 and (-1)/12*-6 - 47/60.
780
Let r = -858 - -10303/12. Calculate the common denominator of -23/9 and r.
36
Suppose 3*z + 3*c - 8 = -2, -c + 10 = 5*z. Suppose 4*h = -z - 2. Calculate the least common multiple of h/(-2) + 190/20 and 2.
10
Let b = -641 + 105. What is the common denominator of ((b/(-18))/4)/1 and -79/8?
72
Let c be -6 + 114 - (1 - 4). Let g = c + -71. Calculate the least common multiple of g and 20.
40
Let p = 6 - 2. Let n be (-12)/(-15)*(-90)/(-12). Suppose 0 = -p*h + n + 14. Calculate the lowest common multiple of h and 4.
20
Let g(w) = 1061*w**2 - w + 3. Let a be g(-3). Let q = -360142723/18 - -20017491. Let f = q - a. Find the common denominator of f and 53/22.
198
Let g = 346834/3 + -116697. Let m = 1102 + g. Calculate the common denominator of -133/24 and m.
24
Let x(o) = -o**2 - 6*o + 3. Let h be x(-3). Let f = h + 18. Suppose 5*y = -2*b + f, 0*b = 3*y - 5*b - 18. Calculate the least common multiple of y and 3.
6
Let u be 9/57*3/72. Let b = u - 1445/152. Find the common denominator of (-2907)/180 + (-4)/(-10) and b.
4
Let h(u) = 4*u + 184. What is the smallest common multiple of 282 and h(-37)?
1692
Let s = 6612 - 85906/13. Calculate the common denominator of 69/44 and s.
572
Suppose -2*h - 80 = -4*s, 3*h = -s - 15 + 42. What is the common denominator of 4 + -3*346/108 and 1/s*1710/12?
126
Let r = -252775707/34 - -7433901. Let n = 681 + r. Find the common denominator of -59/22 and n.
374
Suppose 0 = -k - 5, -l - 21 = -4*l + 3*k. Suppose -l = -3*m + 46. Calculate the smallest common multiple of m and 12.
48
Suppose 5*d - 20 = 0, -h + 3*d - 2*d = 6. Let w = 1384 + -9735/7. What is the common denominator of 31/(-4) + 6/h and w?
28
What is the common denominator of 51/4 and ((1024/1100)/(-8))/(3/(-30))?
220
Let i = 5084 + -33910/7. Let z = -33049/140 + i. Find the common denominator of z and -31/20.
20
Suppose 4*q = -2*s + 22 - 8, 0 = 5*s - 5*q + 10. What is the common denominator of (-4)/(-66)*3210/40 and -7*(-11)/6 - s?
66
Let k = 3463/1067 - 15/97. Suppose -o + g + 4452 = o, 0 = -2*o + 3*g + 4452. Let d = 24540/11 - o. Find the common denominator of k and d.
11
What is the common denominator of -29/21 and (-76)/56 + 5 + -2 + -2?
42
Let g = 69 - 62. What is the lowest common multiple of 21 and g?
21
Let l be 0 - (7 - (-1 - 1)). Let b = -2 + l. Calculate the common denominator of -39/22 and (b/(-3))/(2/(-3)).
22
Let k = 8/6925 - 6524/851775. Let l = -1/551267174 + -5941833232499/1356117248040. Let d = l - k. Calculate the common denominator of d and 1/10.
40
Suppose -2*y + 6*t = 4*t + 110, 160 = -3*y + 2*t. Let l = 56 + y. Calculate the lowest common multiple of 22 and l.
66
Suppose 0 = -4*k - 3*f + 350, -3*f = 5*k + f - 438. What is the lowest common multiple of k and 7?
602
Let h = 37829 + -16228648/429. Let i be (-2)/8 + 5734/858. Let m = h + i. What is the common denominator of 45 and m?
12
Suppose -5*y + 10 = -d - 0*d, 0 = d - 4*y + 7. Suppose 2*m + 6 = -m. Let n(i) = 3*i**2 + i. Calculate the least common multiple of d and n(m).
10
Let r = 39331/18 - 2183. What is the common denominator of 3/8 and r?
72
Let w = 6127 - 36397/6. Let u = -65 + w. What is the common denominator of u and -8*(11/14 + 0)?
42
Let v be 15/3 + (-224)/(-4). Suppose v*h + 20 = 71*h. What is the smallest common multiple of h and (-1*1)/((-2)/6)?
6
Let y be (-7)/((-7)/(-93)) + -1. Let t = 102 + y. Calculate the least common multiple of t and 18.
72
Let o be (15 - 3)*(-9)/(-24)*334. Let l = o - 16551/11. Calculate the common denominator of 9/25 and l.
275
Let l be 1 - 8/(-4) - 3. Suppose 3*g + 5*i = 64, -2*g - 6*i + 3*i + 41 = l. Let b = 21 - g. What is the least common multiple of 2 and b?
8
Let j = -4373 - -52429/12. What is the common denominator of j and 650/(-72)*(-1)/5?
36
Find the common denominator of (-5 + (-1132)/(-8))/30 and 892/3640 + (-4)/(-14).
260
Suppose -41*n = 11*n - 24544. What is the lowest common multiple of 16 and n?
944
Find the common denominator of -133/110 an
|
{
"pile_set_name": "DM Mathematics"
}
|
210
Convert 324 (base 7) to base 11.
140
29 (base 10) to base 11
27
1 (base 5) to base 10
1
0 (base 8) to base 9
0
What is 14 (base 10) in base 12?
12
1112 (base 5) to base 2
10011101
11 (base 5) to base 7
6
Convert -1110 (base 3) to base 16.
-27
What is 26 (base 16) in base 10?
38
What is 24 (base 14) in base 6?
52
Convert 5d (base 14) to base 2.
1010011
What is 0 (base 11) in base 9?
0
2 (base 11) to base 2
10
-124 (base 14) to base 10
-228
3 (base 14) to base 16
3
Convert -79 (base 12) to base 9.
-113
What is 12 (base 9) in base 14?
b
-5 (base 14) to base 4
-11
-31 (base 4) to base 16
-d
1000 (base 4) to base 3
2101
Convert 1 (base 9) to base 14.
1
Convert -11 (base 13) to base 5.
-24
-105 (base 7) to base 11
-4a
What is -4 (base 13) in base 8?
-4
6 (base 13) to base 4
12
What is 122 (base 4) in base 9?
28
Convert -5 (base 10) to base 7.
-5
Convert 4 (base 5) to base 4.
10
Convert 15 (base 9) to base 10.
14
What is -130 (base 6) in base 12?
-46
What is 17 (base 11) in base 15?
13
Convert 260 (base 7) to base 5.
1030
2012 (base 5) to base 13
16a
What is 5 (base 8) in base 4?
11
-3 (base 4) to base 12
-3
What is 4 (base 10) in base 12?
4
Convert 23 (base 5) to base 9.
14
Convert 12 (base 11) to base 5.
23
What is -7 (base 10) in base 13?
-7
-9 (base 14) to base 10
-9
What is -10100111 (base 2) in base 10?
-167
What is -21 (base 3) in base 6?
-11
Convert -27 (base 14) to base 6.
-55
-1000 (base 3) to base 4
-123
51 (base 8) to base 10
41
Convert 46 (base 14) to base 12.
52
-3 (base 7) to base 9
-3
23 (base 5) to base 10
13
Convert -6 (base 10) to base 15.
-6
141 (base 6) to base 8
75
Convert 14 (base 11) to base 15.
10
-25 (base 6) to base 16
-11
Convert -66 (base 9) to base 13.
-48
-146 (base 14) to base 12
-196
What is 121 (base 4) in base 15?
1a
-3 (base 9) to base 10
-3
What is 176 (base 8) in base 15?
86
0 (base 15) to base 2
0
Convert 4 (base 16) to base 8.
4
Convert 2 (base 9) to base 6.
2
10 (base 3) to base 2
11
Convert -8 (base 13) to base 6.
-12
Convert -14 (base 7) to base 5.
-21
Convert 40 (base 5) to base 7.
26
4 (base 16) to base 3
11
Convert -27 (base 9) to base 13.
-1c
Convert -312 (base 5) to base 12.
-6a
What is 1 (base 9) in base 13?
1
4 (base 7) to base 15
4
101010 (base 2) to base 10
42
Convert -111 (base 2) to base 15.
-7
Convert -6 (base 9) to base 14.
-6
-2 (base 9) to base 12
-2
What is -1 (base 4) in base 5?
-1
Convert 6 (base 7) to base 11.
6
Convert 4 (base 10) to base 16.
4
Convert -1 (base 11) to base 15.
-1
Convert -73 (base 11) to base 7.
-143
21 (base 12) to base 11
23
What is 35 (base 7) in base 13?
20
Convert -303 (base 5) to base 9.
-86
What is 201 (base 7) in base 12?
83
Convert 0 (base 9) to base 14.
0
Convert -ba (base 16) to base 4.
-2322
Convert 16 (base 14) to base 9.
22
What is 111011 (base 2) in base 11?
54
2 (base 16) to base 12
2
Convert -10 (base 4) to base 14.
-4
Convert -81 (base 15) to base 7.
-232
10 (base 2) to base 11
2
Convert 40 (base 16) to base 11.
59
110110 (base 2) to base 5
204
Convert 0 (base 6) to base 4.
0
What is 10 (base 4) in base 15?
4
Convert 0 (base 8) to base 2.
0
-33 (base 6) to base 13
-18
-1120 (base 4) to base 3
-10021
40 (base 10) to base 14
2c
Convert 24 (base 5) to base 2.
1110
What is -20220 (base 3) in base 7?
-354
0 (base 5) to base 6
0
What is 4 (base 12) in base 6?
4
23 (base 13) to base 11
27
What is -120 (base 15) in base 10?
-255
What is 22 (base 11) in base 10?
24
0 (base 2) to base 12
0
-11 (base 3) to base 12
-4
What is 224 (base 5) in base 8?
100
20 (base 16) to base 12
28
Convert b (base 12) to base 8.
13
0 (base 10) to base 3
0
Convert -232 (base 5) to base 8.
-103
What is 20 (base 16) in base 5?
112
Convert -2a (base 15) to base 11.
-37
Convert 4 (base 5) to base 10.
4
0 (base 10) to base 9
0
Convert 3 (base 6) to base 5.
3
What is 14 (base 14) in base 6?
30
What is 24 (base 6) in base 9?
17
82 (base 12) to base 10
98
68 (base 16) to base 4
1220
What is 8 (base 11) in base 4?
20
-1 (base 8) to base 5
-1
What is 3 (base 14) in base 13?
3
56 (base 16) to base 7
152
-2 (base 15) to base 4
-2
Convert 11 (base 3) to base 11.
4
15 (base 15) to base 3
202
What is -6 (base 14) in base 7?
-6
What is -113 (base 5) in base 10?
-33
-111 (base 8) to base 14
-53
1 (base 15) to base 12
1
Convert -1122 (base 5) to base 16.
-a2
31 (base 4) to base 10
13
Convert 24 (base 11) to base 7.
35
Convert 15 (base 9) to base 11.
13
Convert 12 (base 5) to base 10.
7
What is -20 (base 3) in base 9?
-6
Convert 74 (base 9) to base 2.
1000011
Convert 0 (base 16) to base 4.
0
What is 8 (base 16) in base 12?
8
What is 356 (base 7) in base 12?
138
Convert 65 (base 12) to base 14.
57
Convert 3 (base 7) to base 11.
3
What is 8 (base 9) in base 7?
11
-11 (base 4) to base 11
-5
Convert -2 (base 16) to base 11.
-2
What is 8 (base 14) in base 9?
8
What is -130 (base 5) in base 2?
-101000
Convert 5 (base 15) to base 11.
5
What is 4 (base 13) in base 9?
4
Convert 1 (base 11) to base 3.
1
-a (base 12) to base 10
-10
What is 21 (base 10) in base 4?
111
What is 37 (base 10) in base 13?
2b
-1022 (base 3) to base 13
-29
Convert -5 (base 13) to base 14.
-5
-45 (base 6) to base 7
-41
What is 0 (base 5) in base 8?
0
What is -245 (base 6) in base 14?
-73
Convert -2 (base 6) to base 9.
-2
What is -91 (base 11) in base 3?
-10201
-14 (base 8) to base 12
-10
71 (base 13) to base 7
161
0 (base 6) to base 13
0
What is -6a (base 13) in base 11?
-80
Convert -7 (base 9) to base 14.
-7
What is 34 (base 6) in base 10?
22
Convert 2020 (base 3) to base 6.
140
What is 111 (base 2) in base 13?
7
-50 (base 8) to base 14
-2c
Convert 16 (base 8) to base 9.
15
What is 54 (base 15) in base 7?
142
-10011 (base 2) to base 6
-31
Convert 7 (base 16) to base 12.
7
What is -35 (base 15) in base 6?
-122
Convert -6 (base 10) to base 2.
-110
What is -16 (base 11) in base 6?
-25
What is -1 (base 3) in base 4?
-1
-16 (base 12) to base 14
-14
Convert 5 (base 13) to base 12.
5
1d (base 16) to base 13
23
Convert 21 (base 6) to base 14.
d
Convert -2 (base 6) to base 2.
-10
What is -4 (base 16) in base 15?
-4
Convert -a (base 11) to base 14.
-a
What is 37 (base 11) in base 3?
1111
Convert 100 (base 14) to base 7.
400
Convert -10 (base 3) to base 2.
-11
What is 9 (base 11) in base 4?
21
-31 (base 7) to base 6
-34
-c (base 13) to base 9
-13
-1111110 (base 2) to base 16
-7e
Convert -8 (base 11) to base 6.
-12
-5 (base 6) to base 10
-5
What is 7 (base 10) in base 3?
21
1 (base 5) to base 7
1
-b2 (base 13) to base 3
-12101
What is -1 (base 16) in base 5?
-1
91 (base 11) to base 12
84
What is -1 (base 3) in base 4?
-1
45 (base 6) to base 16
1d
What is -63 (base 11) in base 12?
-59
What is 0 (base 13) in base 2?
0
11 (base 9) to base 7
13
What is 4 (base 7) in base 9?
4
What is 2112 (base 4) in base 5?
1100
-47 (base 11) to base 7
-102
Convert -1 (base 3) to base 12.
-1
What is -5 (base 11) in base 5?
-10
131 (base 8) to base 4
1121
11 (base 5) to base 4
12
Convert -2 (base 9) to base 11.
-2
173 (base 10) to base 7
335
Convert -a6 (base 16) to base 13.
-ca
-1 (base 15) to base 2
-1
37 (base 10) to base 13
2b
2 (base 5) to base 8
2
What is -100101 (base 2) in base 9?
-41
What is 64 (base 9) in base 11?
53
Convert 49 (base 11) to base 5.
203
-454 (base 7) to base 6
-1031
What is 2c (base 16) in base 15?
2e
What is -10a (base 11) in base 3?
-11212
Convert -114 (base 6) to base 10.
-46
What is 3 (base 11) in base 14?
3
6 (base 11) to base 2
110
-10 (base 4) to base 2
-100
-1 (base 3) to base 2
-1
Convert 2 (base 16) to base 14.
2
Convert -2 (base 16) to base 9.
-2
3 (base 6) to base 2
11
9 (base 12) to base 2
1001
What is 10 (base 2) in base 12?
2
Convert 232 (base 10) to base 8.
350
Convert 18 (base 9) to base 3.
122
What is -12 (base 4) in base 9?
-6
a (base 15) to base 3
101
What is 111 (base 2) in base 4?
13
Convert -201 (base 4) to base 6.
-53
What is 10 (base 2) in base 14?
2
Convert 2 (base 7) to base 5.
2
What is 11100 (base 2) in base 5?
103
83 (base 11) to base 16
5b
What is 245 (base 11) in base 10?
291
What is -1 (base 13) in base 15?
-1
What is 6 (base 15) in base 16?
6
Convert 102 (base 6) to base 11.
35
What is 120 (base 4) in base 10?
24
What is -5 (base 12) in base 3?
-12
Convert -7 (base 10) to base 11.
-7
Convert 2 (base 14)
|
{
"pile_set_name": "DM Mathematics"
}
|
- 2*t wrt m.
53*c**3*t - 6*c**3 - c*t
Find the second derivative of -3741*h**2*q**2 - h**2 + h*q + 2*q**2 + 3*q + 74 wrt q.
-7482*h**2 + 4
Find the third derivative of -138810*a**2*l**3 - 6567*a**2*l**2 + 2*a**2 + a*l**3 + 2*a wrt l.
-832860*a**2 + 6*a
What is the third derivative of -z**6 + z**5 - 28504*z**4 + 4*z**2 + 3*z + 4289?
-120*z**3 + 60*z**2 - 684096*z
Find the second derivative of -2*f**3*i**2*z - 7*f**2*i**2 - 44*f**2*z - 11440*f*i*z - 2*i**2 wrt f.
-12*f*i**2*z - 14*i**2 - 88*z
What is the first derivative of -2*o**4 - 23952*o**3 + 59479 wrt o?
-8*o**3 - 71856*o**2
What is the third derivative of 4*n**4*o**2 + 25386*n**3*o**2 - 414*n**2*o**2 - 23*n**2 + o**2 wrt n?
96*n*o**2 + 152316*o**2
Differentiate -101*j**2*v**2 - 21*j**2 + j + 452*v**4 - 310 with respect to v.
-202*j**2*v + 1808*v**3
Find the second derivative of 945*w**4 - 7*w**3 + 2*w**2 + 248*w + 2115.
11340*w**2 - 42*w + 4
What is the second derivative of -61300*u**2 + 31295*u?
-122600
What is the first derivative of 412167*x + 1076008?
412167
Find the second derivative of 3*f**3*i - 750726*f**2*i**2 - 73*f*i + 2298*i**2 wrt f.
18*f*i - 1501452*i**2
Find the third derivative of 8*a**5 + a**4 - 3458*a**3 + 44*a**2 - 2*a - 5 wrt a.
480*a**2 + 24*a - 20748
What is the second derivative of 1464132*l**2 + 67778*l wrt l?
2928264
What is the first derivative of -286209*m**3 + 2322?
-858627*m**2
Find the first derivative of v**3*w + 128*v*w**2 + 111*v - 2274*w**2 + 3 wrt v.
3*v**2*w + 128*w**2 + 111
What is the derivative of 222717*z + 138481?
222717
Find the third derivative of -163602*h**5 + 2*h**4*j**2 - 7029*h**2*j**2 - 223*j**2 wrt h.
-9816120*h**2 + 48*h*j**2
Find the first derivative of 31*r*w**3 - 1262*r*w**2 - 69683*w**3 - 4 wrt r.
31*w**3 - 1262*w**2
What is the third derivative of 61883*r**3 + 2*r**2 - 5994 wrt r?
371298
Find the second derivative of -42109*y**2 + 785*y.
-84218
What is the second derivative of k**4 + 14571*k**2 + 9*k + 732?
12*k**2 + 29142
What is the third derivative of -38*v**3*z**3 + 1333*v**3*z**2 + 8*v**2*z - 21525*v*z**3 wrt v?
-228*z**3 + 7998*z**2
What is the first derivative of -q**2 + 36851*q + 32132 wrt q?
-2*q + 36851
Differentiate -7*b**3*o - b**3*t**2 - 13*b**3*t - 2*b**2*o + b**2*t + 343*b*o*t**2 - 123 wrt o.
-7*b**3 - 2*b**2 + 343*b*t**2
Find the third derivative of 37233*p**4 + 26912*p**2 wrt p.
893592*p
What is the derivative of -7*q**4 + 189217*q**2 + 3131816?
-28*q**3 + 378434*q
Find the second derivative of -3672*h**3 + 12*h**2 + 5838*h wrt h.
-22032*h + 24
What is the second derivative of 53*g**3*r**3 + 11*g**3*r**2 + 2*g**3*r - 11802*g**2*r - 4*r**4 wrt r?
318*g**3*r + 22*g**3 - 48*r**2
What is the first derivative of -81430*b**4 - 591475?
-325720*b**3
Find the second derivative of -8*o**4 - 11547*o**3 - 244921*o.
-96*o**2 - 69282*o
What is the third derivative of -11*i**4*w**2 + 240*i**4*w + 8*i**4 + 9*i**2*w**2 - i**2*w - 21*i*w**2 - 2*i wrt i?
-264*i*w**2 + 5760*i*w + 192*i
What is the derivative of -15198*b**4 - 36456 wrt b?
-60792*b**3
Find the third derivative of 74035*r*w**4 - 12*r*w**3 - r*w**2 + 283836*r*w wrt w.
1776840*r*w - 72*r
Differentiate -53*l**3*o*v - 3*l**3*o + 34*l**2*o**2 - 272*l*o**2 + 173*o**2*v wrt v.
-53*l**3*o + 173*o**2
Find the first derivative of 144*k**3*z**4 + 10*k**3*z + 17943*k**3 wrt z.
576*k**3*z**3 + 10*k**3
What is the second derivative of 61594*n**2*w**2 - 34*n*w - 2*n + 33*w**2 + 4*w wrt n?
123188*w**2
What is the third derivative of 302*c**6 + 254*c**5 - c**3 + 2*c**2 - 53478 wrt c?
36240*c**3 + 15240*c**2 - 6
Find the third derivative of 26055*u**6 - 27849*u**2.
3126600*u**3
Differentiate 1108*g**3 + g**2 - 159*g - 5070840 with respect to g.
3324*g**2 + 2*g - 159
What is the first derivative of 67*l**2 + 208*l + 1123946?
134*l + 208
What is the second derivative of 160*l**2*q*x**2 + 442*l**2*x**2 - 2*l*q + l*x**2 + 42219*q wrt l?
320*q*x**2 + 884*x**2
Find the third derivative of -34208*i**6 + 2*i**2 + 9*i - 414.
-4104960*i**3
What is the third derivative of -31540*v**2*w**3 - 2*v**2*w + 16*v*w**2 - 39*v + 4*w**3 wrt w?
-189240*v**2 + 24
What is the first derivative of 190595*r**3 - 2279239 wrt r?
571785*r**2
What is the third derivative of -3069*m**3*t**2 + 12*m**3*x - m**2*x + 494*t**2*x - 8*t*x + 2*x wrt m?
-18414*t**2 + 72*x
What is the third derivative of 4*q**3*w**2 + 5537*q**3 - 5704*q**2 + 4*q*w**2 wrt q?
24*w**2 + 33222
Differentiate -2*i*u - 674260*i - 13153*u wrt u.
-2*i - 13153
What is the second derivative of 64923*c**3 - 57385*c?
389538*c
What is the first derivative of 35*g**3 + 704*g**2 + 2*g - 1474242 wrt g?
105*g**2 + 1408*g + 2
What is the third derivative of -57864*a**5 - 2*a**4 - 2*a**3 + 282541*a**2?
-3471840*a**2 - 48*a - 12
What is the third derivative of 3*k**3*r**4 - 41*k**3*r**3 + 12106*k**3*r**2 - 2*k**3*r + 2*r**3 wrt r?
72*k**3*r - 246*k**3 + 12
What is the first derivative of -11554*p + 5819?
-11554
What is the second derivative of -33068*i**2 + 9891*i + 2?
-66136
What is the third derivative of -1656827*o**5 - 2*o**3 + 149*o**2 - 3*o - 57 wrt o?
-99409620*o**2 - 12
What is the third derivative of -13716*i**3*r**3 - 302*i**3*r**2 - 136*i**2*r**2 + 10*r**5 wrt r?
-82296*i**3 + 600*r**2
Differentiate 105433*h**2*r*u - 2*h**2 + 12328*r wrt u.
105433*h**2*r
Find the third derivative of 2*b*i**3 + 3*b*i**2*r**2 - 9*b*i - 2937*i**3*r**2 + 5*i**3 - 2*i**2*r**2 - 135*i*r**2 - 2*i*r wrt i.
12*b - 17622*r**2 + 30
Find the first derivative of -16*b**4 + 270*b + 28932 wrt b.
-64*b**3 + 270
What is the second derivative of -18*v**2*z**2 - 2*v**2*z - 6*v*z**2 + 10139*v*z - 2*z**3 + z**2 - 6*z wrt z?
-36*v**2 - 12*v - 12*z + 2
Find the second derivative of -91125*t*v**2 - 6*t*v + t + 2*v - 90 wrt v.
-182250*t
What is the first derivative of -33*k**2*p**2 - 4*k**2*p + 2*k**2 - 29*p**2 - 86*p - 1 wrt k?
-66*k*p**2 - 8*k*p + 4*k
Find the third derivative of 1703475*l**5*s**2 + l**3*s**3 - 19*l**2*s**2 + l**2*s - 170*l*s**3 + l + 10*s**3 wrt l.
102208500*l**2*s**2 + 6*s**3
What is the second derivative of -6*k**4 + 4618*k**3 - 2*k + 45340?
-72*k**2 + 27708*k
Find the second derivative of 3*l**4 - 10778*l**3 + 2*l**2 + 2*l + 17999.
36*l**2 - 64668*l + 4
Differentiate 161351*o**2 - 70774 with respect to o.
322702*o
Find the second derivative of 9*p**5*t - 765*p**5 - 2*p*t + 2*p + 49964 wrt p.
180*p**3*t - 15300*p**3
Find the third derivative of 8*o**6 + 804*o**5 + 18*o**4 + 129*o**2 + o + 285.
960*o**3 + 48240*o**2 + 432*o
What is the first derivative of -1155615*j + 5123285 wrt j?
-1155615
What is the second derivative of -1247*i**2*m*x - 2*i**2*m - 5*i**2*x - 48*i*m*x - 55*i + 2*m*x wrt i?
-2494*m*x - 4*m - 10*x
Find the second derivative of -168570*b*p**3 + 600*b*p + 15*b wrt p.
-1011420*b*p
Find the second derivative of 389*k**2*m**2 + 183*k**2 + 24*k*m - k + m**2 + 302*m wrt k.
778*m**2 + 366
What is the second derivative of 17499*f**5 + 3*f**2*q**2 - 2*f*q - 119*q**2 + 96 wrt f?
349980*f**3 + 6*q**2
What is the second derivative of -m*p**2*v + 9908*m*p*v + 4*m*v - p**4 + 9676*p**3*v - 4*p wrt p?
-2*m*v - 12*p**2 + 58056*p*v
What is the second derivative of 27*p**4*t - 4879*p**4 - 2*p**2 - 3443*p*t + 148*t wrt p?
324*p**2*t - 58548*p**2 - 4
Differentiate -500*u**3 - 45*u**2 - 2*u - 131784 wrt u.
-1500*u**2 - 90*u - 2
What is the second derivative of -42379*u**2*x - 66516*u*x wrt u?
-84758*x
What is the third derivative of 45*q*w**3 - 3*q*w**2 + q*w + 2*q + 33*w**3 - 793*w**2 wrt w?
270*q + 198
What is the first derivative of -438*w**3 - 26*w - 115795?
-1314*w**2 - 26
What is the third derivative of 642256*k**3 + 289910*k**2?
3853536
Differentiate -12*c*j**2 + 20*c*j - 21992*c + 8*j**2 - j with respect to j.
-24*c*j + 20*c + 16*j - 1
Find the third derivative of -221*r**4 + 1627*r**3 - 384*r**2 - 173*r + 11.
-5304*r + 9762
Find the third derivative of 51*d**4*p**2 + 998*d**3*p**3 + 648*d**2*p**2 - 47*d*p**3 wrt d.
1224*d*p**2 + 5988*p**3
What is the third derivative of -g**3*l**4 + g**3*l + 22*g**2*l**2 + 7548*g*l**4 - 2*l**3 + 15*l**2 wrt l?
-24*g**3*l + 181152*g*l - 12
What is the third derivative of -163741*c*f**3 - 35*c*f**2 - 43*c*f - c + 3 wrt f?
-982446*c
What is the second derivative of 29*d*f**4 + d*f - 6323*d + 1847*f**2 + 2*f wrt f?
348*d*f**2 + 3694
What is
|
{
"pile_set_name": "DM Mathematics"
}
|
to 3 decimal places?
-0.002
Round -0.00003496 to seven decimal places.
-0.000035
What is -0.000092874 rounded to 6 dps?
-0.000093
Round 0.000596 to 5 dps.
0.0006
What is 0.00072658 rounded to four dps?
0.0007
What is -179650 rounded to the nearest one hundred thousand?
-200000
Round -44.602 to one dp.
-44.6
Round -321970 to the nearest ten thousand.
-320000
Round 1326 to the nearest 10.
1330
Round -7572000 to the nearest one hundred thousand.
-7600000
What is -1237 rounded to the nearest one hundred?
-1200
Round -0.056131 to 2 decimal places.
-0.06
What is -1.462 rounded to one decimal place?
-1.5
Round -0.33531 to 2 decimal places.
-0.34
Round -0.099 to one dp.
-0.1
What is -1319.61 rounded to the nearest one hundred?
-1300
What is 0.0000008141 rounded to seven dps?
0.0000008
What is 0.011314 rounded to 3 dps?
0.011
What is -0.0002133 rounded to five dps?
-0.00021
What is 41.49 rounded to the nearest integer?
41
What is -782500 rounded to the nearest 100000?
-800000
What is -0.02822 rounded to 3 decimal places?
-0.028
Round -128090 to the nearest ten thousand.
-130000
What is 24854 rounded to the nearest ten thousand?
20000
Round 4.311 to the nearest integer.
4
Round -3.448 to the nearest integer.
-3
What is 0.000033 rounded to 6 dps?
0.000033
Round -0.000055667 to 5 dps.
-0.00006
What is -0.036012 rounded to 4 dps?
-0.036
What is -0.0267985 rounded to three dps?
-0.027
Round -32300000 to the nearest 1000000.
-32000000
Round -16500000 to the nearest 1000000.
-17000000
What is -0.00046578 rounded to 5 dps?
-0.00047
What is 0.00155052 rounded to 5 dps?
0.00155
What is 233430 rounded to the nearest one thousand?
233000
Round 0.000000148 to seven decimal places.
0.0000001
What is -1.211 rounded to one decimal place?
-1.2
Round 0.000005994 to six decimal places.
0.000006
What is -22.29 rounded to 0 decimal places?
-22
Round 0.00003072 to six decimal places.
0.000031
What is -0.01686 rounded to 3 dps?
-0.017
Round 1010 to the nearest one hundred.
1000
Round -161000 to the nearest 10000.
-160000
Round 0.0002674 to 3 dps.
0
Round -63767 to the nearest ten thousand.
-60000
What is 63700000 rounded to the nearest 1000000?
64000000
What is -0.00371 rounded to two dps?
0
Round -2.4616 to 1 decimal place.
-2.5
What is 0.0000362 rounded to 5 dps?
0.00004
What is -0.0313 rounded to 2 dps?
-0.03
What is -0.00000951 rounded to 5 decimal places?
-0.00001
Round 0.000011364 to seven dps.
0.0000114
What is -3560 rounded to the nearest 100?
-3600
What is 233.02 rounded to 0 dps?
233
Round 23340000 to the nearest one million.
23000000
Round 4.642 to the nearest integer.
5
What is 0.5925 rounded to 2 decimal places?
0.59
Round -0.000855 to 4 decimal places.
-0.0009
What is 1065140 rounded to the nearest 100000?
1100000
Round 15698 to the nearest 1000.
16000
Round -32695200 to the nearest one million.
-33000000
Round -336000 to the nearest ten thousand.
-340000
Round 86841000 to the nearest 100000.
86800000
What is -1361100 rounded to the nearest one hundred thousand?
-1400000
Round -0.1781 to three decimal places.
-0.178
Round 10028 to the nearest one hundred.
10000
What is -398700 rounded to the nearest 100000?
-400000
What is -0.3235 rounded to 2 decimal places?
-0.32
What is 91943000 rounded to the nearest 1000000?
92000000
What is 0.000041219 rounded to six dps?
0.000041
Round 1279 to the nearest 10.
1280
Round -206.7 to the nearest 10.
-210
What is -0.0001283 rounded to five dps?
-0.00013
Round -0.105273 to two decimal places.
-0.11
Round -0.0000119568 to six dps.
-0.000012
What is -0.00008445 rounded to 6 decimal places?
-0.000084
Round 0.00059371 to five decimal places.
0.00059
What is -8005 rounded to the nearest 100?
-8000
Round -0.003238 to 4 dps.
-0.0032
Round 0.00000398147 to six decimal places.
0.000004
Round 1197.65 to the nearest 100.
1200
What is -22093 rounded to the nearest 100?
-22100
Round -0.0008695 to 4 decimal places.
-0.0009
Round 141.7 to the nearest ten.
140
What is -58.37 rounded to the nearest 10?
-60
What is 2575000 rounded to the nearest 100000?
2600000
What is 0.3145 rounded to 2 decimal places?
0.31
Round 0.0001125 to six dps.
0.000113
What is 0.08605 rounded to 1 dp?
0.1
Round 10887 to the nearest 1000.
11000
Round -0.000019108 to six decimal places.
-0.000019
Round 639700 to the nearest 100000.
600000
Round -727400 to the nearest one hundred thousand.
-700000
What is 7530000 rounded to the nearest one hundred thousand?
7500000
Round 137 to the nearest 100.
100
What is 5101100 rounded to the nearest one hundred thousand?
5100000
Round -0.23324 to 1 dp.
-0.2
Round 0.0000009426 to 6 decimal places.
0.000001
What is 20692.6 rounded to the nearest one hundred?
20700
Round -0.28158 to one decimal place.
-0.3
What is -56455 rounded to the nearest ten thousand?
-60000
Round 18706.9 to the nearest 1000.
19000
What is 131210 rounded to the nearest 10000?
130000
Round 0.0000147413 to six decimal places.
0.000015
Round 13851 to the nearest one thousand.
14000
What is 0.0001623 rounded to 3 dps?
0
What is -0.10984 rounded to two decimal places?
-0.11
What is -77.29 rounded to the nearest integer?
-77
What is -5.4193 rounded to 1 dp?
-5.4
What is -0.015083 rounded to 3 dps?
-0.015
Round -0.00041129 to 5 dps.
-0.00041
What is 550.4 rounded to the nearest ten?
550
What is 95508 rounded to the nearest ten thousand?
100000
Round -0.00008516 to 6 decimal places.
-0.000085
Round -0.19559 to 3 dps.
-0.196
What is 0.00000020525 rounded to 7 decimal places?
0.0000002
Round 0.0066818 to four dps.
0.0067
Round 1631100 to the nearest 100000.
1600000
Round 3229 to the nearest 1000.
3000
What is -0.00006868 rounded to 5 decimal places?
-0.00007
What is -1220 rounded to the nearest one hundred?
-1200
What is -15130000 rounded to the nearest 1000000?
-15000000
What is 0.00282167 rounded to five dps?
0.00282
What is -49.25 rounded to the nearest 10?
-50
What is 20.41 rounded to 0 decimal places?
20
What is 0.0024163 rounded to 3 dps?
0.002
Round 0.00034 to 5 dps.
0.00034
What is 0.50192 rounded to three dps?
0.502
Round 0.030507 to 2 dps.
0.03
Round 0.00035812 to 5 decimal places.
0.00036
What is 0.20654 rounded to two dps?
0.21
What is -3499.6 rounded to the nearest 10?
-3500
What is 0.0000731 rounded to 5 decimal places?
0.00007
What is 0.000684989 rounded to four dps?
0.0007
What is -0.0000215 rounded to 6 dps?
-0.000022
What is -270590 rounded to the nearest 1000?
-271000
Round 0.168 to the nearest integer.
0
Round -0.0000052029 to six decimal places.
-0.000005
What is 11705000 rounded to the nearest one million?
12000000
Round -0.00004901 to six decimal places.
-0.000049
What is 19790900 rounded to the nearest one hundred thousand?
19800000
Round 61840 to the nearest 1000.
62000
What is 26200 rounded to the nearest one hundred thousand?
0
What is -0.00003396 rounded to six dps?
-0.000034
What is 991000 rounded to the nearest 100000?
1000000
Round -10.02 to one decimal place.
-10
What is 126528 rounded to the nearest ten thousand?
130000
Round -0.000001145 to six decimal places.
-0.000001
Round -43.7 to the nearest one hundred.
0
Round 0.0000471 to 5 decimal places.
0.00005
Round -0.000017275 to six decimal places.
-0.000017
Round -1268000 to the nearest 10000.
-1270000
Round -2438600 to the nearest 100000.
-2400000
Round 112791 to the nearest one hundred.
112800
What is -45218000 rounded to the nearest 100000?
-45200000
What is 72240000 rounded to the nearest one million?
72000000
Round 35643000 to the nearest one million.
36000000
What is -0.000000156 rounded to 6 decimal places?
0
What is 279.25 rounded to the nearest one hundred?
300
Round -161910000 to the nearest one million.
-162000000
What is 12.93 rounded to the nearest integer?
13
What is 13.079 rounded to the nearest integer?
13
What is 214.5 rounded to the nearest 10?
210
What is 6592 rounded to the nearest one thousand?
7000
What is 12370 rounded to the nearest 1000?
12000
What is 3734700 rounded to the nearest 10000?
3730000
Round -1.9311 to zero decimal places.
-2
Round -88490 to the nearest 10000.
-90000
What is -20570 rounded to the nearest ten thousand?
-20000
Round 50266900 to the nearest one hundred thousand.
50300000
What is -8.165 rounded to zero dps?
-8
What is -24.357 rounded to t
|
{
"pile_set_name": "DM Mathematics"
}
|
. Is -3*2/14 - j/21 composite?
False
Let m be (-5 - -9) + (1 - -1). Suppose -2*j - 8 = -m*j. Suppose -5*g + 1585 = j*f + 3*f, -4*f = 3*g - 1270. Is f a prime number?
False
Let o = 168 - 88. Suppose 2*d = 1010 + o. Is d a prime number?
False
Let q(j) = 88*j + 13841. Is q(0) a prime number?
True
Is 40551/14*10/6*2 a composite number?
True
Suppose -4*d = -l - 3*l - 4, 4*d = 4. Let c(x) = -x**3 + 3. Let q be c(l). Suppose -4*b = -5*z + 831, 205 = q*z - 2*b - 292. Is z prime?
True
Suppose 0 = 11*j - 4487 - 7866. Is j a composite number?
False
Let w(i) = -2*i - 2. Let f be w(-3). Let q(d) = 27*d**3 - 3*d**2 + 7*d - 7. Let c be q(4). Suppose f*k - 3*l - c = -627, 2*k - 3*l = 540. Is k prime?
False
Let z(c) = 3 - 9*c - 4 + 60*c**2 - 16. Is z(-4) a prime number?
False
Let c(r) = r**3 + 6*r**2 - 10*r - 5. Let z be c(-6). Suppose w + 12 = -o + 4*w, 0 = -3*o + 4*w - 11. Suppose 2*t + k = o*k + 28, -4*t + z = -5*k. Is t prime?
False
Let t(q) = 313*q**2 + 13*q - 21. Is t(4) a prime number?
True
Let w be (-1 - 8/(-4)*-1)/(-1). Is (-6)/(-4) - w/(18/(-3237)) a prime number?
True
Let t(v) = -v**3 - 2*v**2 - 53*v - 57. Is t(-23) a composite number?
True
Let d be -50*((-2)/3 + (-16)/30). Suppose 572 = 2*c - 5*x - d, 3*c + 3*x - 990 = 0. Is c a composite number?
True
Let x = -689 + 1440. Is x a composite number?
False
Suppose t = 4*t. Let q(m) = -m**3 - m**2 + 67. Is q(t) a prime number?
True
Suppose 7840 = 14*a - 4242. Is a prime?
True
Let a be 3 + (1 + 0)/(-1). Suppose 523 = 4*h + o, -4*h + 265 = -a*h - 3*o. Is h composite?
False
Suppose 0 = -5*m + 1 + 54. Suppose 9*f - m*f = -502. Is f a prime number?
True
Suppose -2*v + 2197 = n + v, -5*v + 6599 = 3*n. Is n a prime number?
True
Let w be -1538*(5 - (-1 - -5)). Is (-75)/(-15) - (w + 0) composite?
False
Let b be (-128)/(-40)*(1 - -4). Let w be (-53)/(-11) + b/88. Suppose w*x - 1015 = 750. Is x a composite number?
False
Suppose 0 = y - 932 - 302. Let u = y + 43. Is u a prime number?
True
Let y = 54 + -291. Let p = y - -540. Is p a prime number?
False
Let m = 284 - 643. Let n = -673 - m. Is (n/(-3))/(4/6) composite?
False
Let d(g) = 898*g**2 + 1. Is d(-4) composite?
False
Suppose 4*s - 1452 - 768 = 0. Suppose 2*d + s = 7*d. Is d composite?
True
Let p(k) = -2*k**2 - 2*k + 2. Let q be p(-3). Let x = q - -10. Is x + 2/(8/4348) a prime number?
True
Suppose 0 = -3*i + 4*i + 18. Let o be 2 + (i/(-2))/(-3). Is (-1)/(o + (-26)/(-28)) a prime number?
False
Let g(l) = 9*l**3 + 4*l + 4. Let k be 3/(-60)*-4 - (-14)/5. Is g(k) composite?
True
Let k = 15769 - 4271. Is k prime?
False
Suppose 2*u - 1 = 5*p + 3*u, 5*u + 5 = -5*p. Let n(r) = 5*r + 2407. Is n(p) composite?
True
Let p = -2266 + 9553. Suppose 0*o = 7*o - p. Is o a composite number?
True
Let m be (-1 + (-4)/(-8))*-10. Suppose -u = 5*j + 4*u - 5, 2*j = -5*u + m. Suppose -2*k + 3*k - 85 = j. Is k composite?
True
Suppose -3*f + 1164 = 2*t, 0 = -f + t - 0*t + 388. Suppose 154 = 2*b - f. Is b a prime number?
True
Let x be 286448/(-80) + (-4)/10. Let d = x + 6586. Is d a composite number?
True
Let b = 6 + -2. Suppose -5*y = 2*j - 0*j - 112, -y = b*j - 206. Is j a prime number?
False
Let c(p) = -101*p - 30. Let h(u) = 11*u + 4. Let f be h(-1). Is c(f) composite?
False
Is ((-2892936)/(-60)*5)/2 composite?
False
Suppose -10 = -0*w - 5*w. Suppose 3 - 9 = -3*m. Is 211 - (w/m - 1) composite?
False
Suppose -648 = -a - v, -3 + 7 = -4*v. Suppose 10*s - 61 - a = 0. Is s composite?
False
Is 32434/((-60)/(-6) - 8) a composite number?
False
Suppose -21*b = -18*b - 9. Let d be (0 - -70) + 2/(-2). Suppose 4*t - b + 13 = 2*n, -t + d = 5*n. Is n a composite number?
False
Suppose -3*p = -3*u - 3, 2*u = -0*u. Let m(g) = g**3 - p - 42*g**2 - 9*g + 48*g**2 + 2*g**3. Is m(5) a prime number?
True
Suppose 2*l + 2*n - 542 = 0, -3*l + 1080 = l + 5*n. Suppose 0 = -p + 3*q + 431, 3*p - 2*q + l = 1540. Is p prime?
True
Let p = 4 - 8. Let t(r) = 7*r**2 + 9*r + 6. Let i be t(p). Is i/2 + 8/(-2) a composite number?
False
Let m(y) = 16*y**2. Let w be m(1). Suppose 15 = 3*q + 3*k, q + 3*q - w = -2*k. Suppose -q*u + 6*u = -2*o + 325, 0 = 2*u - 3*o - 221. Is u composite?
False
Suppose 3*m + 4411 = 4*m. Is m composite?
True
Is (-3)/((-18)/9614) - (-148)/222 a prime number?
False
Suppose 5664 = 5*a - 181. Is a composite?
True
Let l = -97 - -5876. Is l a prime number?
True
Suppose 8*f - 32848 = -8*f. Is f a prime number?
True
Suppose 3*r - 5*v + 1054 = 2*r, 0 = 4*r - 4*v + 4264. Let y = -620 - r. Is y composite?
False
Let q = -75 + 54. Let i(u) = 2*u**2 + 26*u - 29. Is i(q) a composite number?
False
Let i(m) = -7*m - 1. Let j be i(-1). Is (-426)/4*(-28)/j a prime number?
False
Suppose -10 = -4*r - 2*f, -5*r + 6 = f - 2. Suppose 4*b + r + 3 = 0. Is ((-33)/2)/(b/2) prime?
False
Let l be ((-4)/(-3))/((-6)/(-27)). Let g be (-588)/(-20) - l/15. Let a = 29 + g. Is a a composite number?
True
Let c = 6897 + 22469. Is c a composite number?
True
Let h(r) = -2*r - 15. Let w be h(-10). Suppose 636 = w*n - n. Is n composite?
True
Suppose -10909 = -3*v + 4*i, i - 1 = 4. Is v prime?
True
Is (-2)/15 + (-17202)/(-90) composite?
False
Let c(g) be the third derivative of -g**4/8 - g**3/3 - 4*g**2. Let q be c(-15). Is q + 2 - (-7 + 5) a prime number?
True
Let l = 1 - 1. Suppose 0 = c + 5*v + 17, l*c - v - 13 = -3*c. Suppose 200 + c = o. Is o a prime number?
False
Suppose b + 2*s - 4*s - 9 = 0, 0 = 3*b + 4*s - 7. Suppose -b*f + 117 = -2*f. Is -3 + 2 + f - 1 prime?
True
Let g be (-3)/(-1) + (4 - -18). Suppose 0*d = 5*d - g. Suppose -d*i + 1257 = -2*i. Is i prime?
True
Let d(u) = 84*u**2 + u. Suppose -5 = -3*c + 2*f, 25 = -3*c + 4*c + 4*f. Suppose s = -4 + c. Is d(s) composite?
True
Suppose -4*b = 13 - 121. Let d = b - -15. Let j = 73 - d. Is j prime?
True
Let z(a) = -a**3 - 4*a**2 + 6*a - 5. Let c be z(-5). Let x = c - -13. Is -3 - (1 - 44) - x prime?
True
Let b(j) = -j**3 + 6*j**2 + 8*j + 5. Let a be b(7). Suppose a = -4*k - 5*z, 0 = -7*z + 3*z - 16. Is (-4 - -3) + 190*k a composite number?
False
Let b = -2828 - -4251. Is b a composite number?
False
Suppose 17*g - 21*g + 16 = 0. Suppose g*o = -2*a + 418, o = 4*a + 4*o - 841. Is a composite?
False
Let f = -65 - -175. Let i(q) = f*q + 118*q - 5 - 53*q + 1. Is i(3) prime?
True
Is ((-12)/(-24))/(2/(-16)) - -2207 a composite number?
False
Let f(z) = -22*z + 153. Is f(-7) composite?
False
Let k = 11974 - -17469. Is k composite?
False
Let h be -2 + 2 + (-3)/3. Let t be 10 + h + -2 - -3. Suppose 2*f - 384 = -t. Is f prime?
False
Suppose -972 = -11*g + 6860. Suppose 3*r = -n + g, -2*n + 0*r + 1445 = -r. Is n composite?
True
Suppose 0 = 5*u - 9 - 56. Suppose u = -0*m - m. Is (-1)/((-2)/m)*-6 composite?
True
Suppose -2*w - 4*n = 0, w - 4*n = n. Suppose w = -2*f + 3566 + 540. Is f composite?
False
Let i be 8/(-60)*-5*6. Suppose 2*z = 5*g - 6389, -8*z = -3*g - i*z + 3839. Is g prime?
True
Let m(q) = 508*q**2 - 24*q - 53. Is m(-7) prime?
False
Let d(t) = 136*t**2 - 17*t - 56. Is d(-9) a composite number?
False
Let f(s) = -95*s**3 + 6*s**2 + 7*s + 2. Let b be f(-3). Let c be b/8 - (2 + 1). Let g = -159 + c. Is g a prime number?
True
Let m(n) = -2*n**2 + 2*n - 6. Let i be m(12). Let k = 721 + i. Is k a composite number?
True
Let m(j) = 63*j**2 - j - 11. Is m(-7) prime?
True
Let l(o) = 29*o**2 + 4*o - 132. Is l(-13) composite?
True
Let z = 9 - 3. Let r be (1 + 6)*z/21. Suppose -3*a + 42 = r*a - 4*s, -s - 28 = -3*a. Is a a composite number?
True
Suppose 0*n = 3*n - 54. Let p = n + -14. Is 23/p*(34 - 14) composite?
True
Suppose -2*v + 5*h = -4562, 2832 = v - 3*h + 553. Is v a composite number?
True
Suppose -5*j - 29581 - 25509 = -5*k, 3*k = -4*j + 33047. Is k composite?
True
Let j = -4767 - -10178. Is j composite?
True
Let i(m) = -m**2 + 17*m + 4. Let n be i(16). Let k be 4985/n + 12/16. Suppose 0 = -2*w + 2*c + 244, 4*c + k - 8 = 2*w. Is w composite?
True
Suppose 23*w - 713106 + 236017 = 0. Is w a composite number?
False
Let n be (-1)/6 - 102/36. Let z = 6 + n. Is z composite?
False
Let x(v) = -5*v + 2*v + 2*v + v**3 + 34 + 3*v**2. Is x(7) prime?
False
Let p(z) = 830*z + 55. Is p(26) a prime number?
False
Suppose 8 = -4*o + 6*o. Suppose -o*y = y - 5215. Is y a prime number?
False
Let w = 16 + -12. Let y = w + 27. Is y a prime number?
True
Suppose -9*c = -11*c. Suppose c = 2*y, -3*x = 2*y - 6*y - 1
|
{
"pile_set_name": "DM Mathematics"
}
|
mmon divisor of y and m?
20
Let a(b) = 670*b + 2. Let m be a(1). Suppose -12*c + m = -4*c. What is the greatest common divisor of 21 and c?
21
Suppose -71400 = 27*s - 78*s. Calculate the greatest common factor of s and 56.
56
Let h(w) = w**3 - 15*w**2 - 33*w - 7. Let f be h(17). Let j = -6 - -26. What is the greatest common factor of j and f?
10
Let y(o) = 3*o - 6. Let j be y(7). Suppose -148 = -6*d - 88. Calculate the greatest common divisor of j and d.
5
Let a(z) = -z - 17. Let j be a(-20). What is the highest common divisor of 28 and j?
1
Let b be 4/(8/(-42))*(3 + -6). Suppose 0 = -s + 16 + 5. What is the greatest common factor of b and s?
21
Let i = 2 + -1. Let t be 13 - i/1 - 1. Let j = -25137 - -25258. Calculate the highest common divisor of t and j.
11
Let l be -5*((-45)/1)/5. Suppose -3*t - 2*t = -l. Let w(j) = -j**3 + 8*j**2 - 6*j. Let b be w(6). What is the greatest common divisor of b and t?
9
Let p be (16*11)/(3/6). Suppose -99 - 195 = -3*n. Let c = n + -66. Calculate the highest common factor of p and c.
32
Suppose -t - 222 = 3*j, -3*j + 5*j = -5*t - 1045. Let i be (-2)/(-4) - t/2. What is the highest common factor of i and 8?
8
Let j(v) = 24*v**2 + v + 1. Suppose -5*k - 16 = -5*o + 24, 3*o + 12 = -k. Let l = 8 + k. Let c be j(l). What is the highest common divisor of 48 and c?
24
Let y be 506/(-110) + (-3)/(-5) - 0. Let p = 2 + -4. Let z be 22 + y*(-3 - p). What is the greatest common factor of 182 and z?
26
Let z(x) = -17*x**3 - 3*x**2 - 4*x. Suppose 5*s = 3*s + 2*q, -q = -3*s - 4. Let n be z(s). Calculate the highest common factor of n and 12.
12
Let d be -1 + 9/5 - (-22)/10. Suppose 5*y = -4*k + 71, 2*k + 4*y = -k + 52. What is the greatest common divisor of k and d?
3
Let p(l) = 3*l**2 + l + 3. Let h be p(-3). What is the greatest common divisor of h and 153?
9
Let t(y) = y**2 + 6*y - 12. Let p be t(12). Let g(i) = 5*i - 3. Let d be g(3). Calculate the greatest common factor of d and p.
12
Let x = 104 - 77. Suppose l + 4*b = 4 - 7, l - 4 = 3*b. Suppose -4*n + 37 = l. What is the greatest common divisor of x and n?
9
Suppose 8*c = 3*c - 20, -2*a = -3*c - 68. Let z be -3 + ((-144)/(-1) - 1). What is the highest common divisor of z and a?
28
Let u(c) = 3*c**3 - 23*c**2 - 37*c + 20. Let j be u(9). What is the highest common factor of 22 and j?
11
Suppose 3*i = -4*m + 524, 14*i - 3*m + 888 = 19*i. What is the highest common divisor of i and 144?
36
Let a(d) = 5*d - 11. Let h be a(-5). Let l = 39 + h. Suppose q + 6 = 3*v, 0 = q + 2*q - 2*v - 17. Calculate the highest common divisor of l and q.
3
Let c be (-826)/(-35)*-1*-60. What is the highest common divisor of 24 and c?
24
Suppose 48 = -27*o + 31*o. Calculate the greatest common factor of 126 and o.
6
Let i = -30 - -42. Let m(y) = 2*y**2 - 8*y - 2. Let f be m(i). Suppose 19*t - f = 17*t. Calculate the highest common divisor of 19 and t.
19
Suppose 14*h = 19*h - 4*g - 207, 4*h - 159 = g. What is the greatest common factor of h and 1131?
39
Suppose 0 = 127*i - 136*i + 1449. Calculate the greatest common divisor of 437 and i.
23
Let f(y) = y**3 + y**2 - 5*y - 3. Let v be f(-2). Suppose 213 = -v*j + 6*j. Suppose -8*r - j + 775 = 0. What is the highest common divisor of 11 and r?
11
Suppose l - 1 = -5*c, c + 0*c + 19 = -5*l. Let i be 37/4 + c/(-4). Let v = -37 - -73. What is the greatest common factor of i and v?
9
Suppose -4*d + 5*r + 5 = d, 5 = -3*d - 5*r. Let g(c) = c + 159. Let j be g(d). Suppose -4*o + 93 + j = 0. Calculate the highest common divisor of o and 21.
21
Suppose -3*x - 5*q + 235 = 0, 4*q = -3*x + 77 + 159. Calculate the highest common divisor of x and 40.
40
Let j(z) = z**2 + 11*z + 15. Let r(c) = -c**2 + 7*c + 8. Let b be r(9). Let v be j(b). What is the greatest common factor of 20 and v?
5
Let u = 1532 - 1457. Calculate the greatest common divisor of u and 6.
3
Let f = 67 + -31. Suppose 6*y = 3*y + 90. Let t = y + -26. What is the highest common divisor of f and t?
4
Let c = -187 - -330. What is the highest common factor of c and 13?
13
Let x = 17 + -12. Suppose x*i + 2 + 3 = 5*t, t - 7 = -i. What is the highest common factor of i and 3?
3
Suppose 0 = 2*p + 3*f + 3 - 32, -5*p + 3*f + 62 = 0. Let r = 0 - 4. Let m be (-1)/((-2)/(-52))*r. What is the greatest common divisor of p and m?
13
Suppose -16*g = -25*g + 90. Calculate the highest common factor of 810 and g.
10
Suppose -506 - 2510 = -8*u. What is the highest common divisor of u and 13?
13
Let w be (-3 + (-21)/(-6))*4. Suppose 0*a = w*k + 2*a + 6, 2*k - 2*a = 14. Let l be 0/(0 + k) - -8. What is the highest common divisor of l and 8?
8
Let m = 395 - 187. What is the greatest common divisor of m and 48?
16
Suppose -26 = -6*x + 5*x. What is the greatest common divisor of x and 13?
13
Let o be 4/(-26) - (-164)/52. Let u be (-4 - (0 + 6)) + -4. Let a(b) = -2*b - 4. Let d be a(u). What is the highest common factor of o and d?
3
Suppose -3*r = 4*y - 2*r - 228, 2*r = 3*y - 160. Let s = 126 - y. Calculate the greatest common factor of s and 14.
14
Suppose -v = -4*r - 34, 3*r + 2*v + 6 + 14 = 0. Let s = -6 - r. What is the greatest common factor of 2 and s?
2
Let j(r) = -r**3 - 16*r**2 - 29*r + 1. Let l be j(-14). Calculate the greatest common factor of 195 and l.
15
Let w(l) = -77*l + 6. Let y be w(-1). Suppose -4*t + 2*t - 106 = 0. Let n = y + t. Calculate the highest common factor of 12 and n.
6
Let f = -58 - -52. Let k be (-814)/f - 4/6. Calculate the highest common divisor of k and 54.
27
Let p(b) = b + 1. Let g be p(4). Suppose -2*d + 35 = -g*f, 41 = -2*d + 4*d + f. What is the highest common factor of 220 and d?
20
Suppose -35*h = -42*h + 28. Suppose -4*d + h = -l, 7*l + 2*d - 38 = 3*l. What is the highest common factor of l and 8?
8
Let t be (-2)/15 - 5528/(-60). Suppose -t = -2*n - 2*n + 5*r, -3*r - 16 = -n. What is the highest common divisor of 112 and n?
28
Suppose 44*x - 5*x - 2145 = 0. What is the greatest common factor of 55 and x?
55
Let z(d) = 2*d - 9 + 15*d**2 - 14*d**2 + d + d. Let c = -10 + 3. Let y be z(c). What is the highest common divisor of 48 and y?
12
Let v(j) = -j**3 + 29*j**2 - 27*j + 48. Let h be v(28). Calculate the greatest common divisor of h and 4.
4
Let w be 101*(-3)/(-12)*4. Let r = -43 + w. Let a = r + 67. What is the highest common factor of 50 and a?
25
Suppose -5*m = 5*k - 135, m - 2*k = 15 + 27. What is the greatest common factor of m and 56?
8
Suppose m - 4*p = 1105, 7*m - 4476 = 3*m + 2*p. Calculate the highest common divisor of m and 118.
59
Suppose -3*i + 4*i - 543 = -5*m, 5*i - 447 = -4*m. Let r = -1453 + 1465. What is the greatest common factor of r and m?
12
Let i = -23 - -31. Let d be 7 - 7 - i/2. Let h be (-2 - -4)*(-18)/d. What is the greatest common divisor of 45 and h?
9
Suppose -9*u + 119 = -1411. Calculate the highest common factor of 30 and u.
10
Let q(z) = -z + 13. Let v be q(7). Suppose 5*f + 764 = -556. Let l be (-2 - 1/4)*f/9. Calculate the highest common factor of l and v.
6
Let y(d) = -d**3 + 19 - 7 - 2*d + 3*d. Let v be y(0). Suppose -47*a - 768 = -55*a. What is the greatest common divisor of a and v?
12
Suppose 0 = 19*c - 2645 - 1630. What is the highest common factor of 315 and c?
45
Let r(s) = -s**2 - 4*s + 1. Let w be r(-3). Let z(c) = 8*c - 1. Let t be z(w). Calculate the highest common factor of 217 and t.
31
Let d = 2869 + -1311. What is the highest common factor of d and 38?
38
Let h be 21 - ((-16)/(-4) + -6). Suppose -4*x + 0*x + 644 = 0. Calculate the highest common divisor of x and h.
23
Let k = -5 - -43. Let u = k - -74. Let n(x) = x**2 - 3*x + 4. Let o be n(5). Calculate the highest common factor of u and o.
14
Suppose -5*a + 20*a - 45 = 0. Calculate the highest common divisor of a and 6.
3
Let x(n) = 2*n + 22. Let a be x(-6). Suppose -a = -j + 3. Calculate the highest common divisor of j and 117.
13
Suppose -735 = 3*r - 8*r. Suppose -j + 53 = 5*c - 130, j - r = -4*c. Calculate the highest common factor of c and 12.
12
Let z(f) = f**2 + 7*f - 23. Let i be z(-10). Let x = -7 - -5. Let a(o) = -o**2 - 2*o + 1. Let b be a(x). Calculate the greatest common factor of i and b.
1
Let p = -879 + 893. What is the highest common factor of 1022 and p?
14
Let d = -135 + 232. Suppose 264 = 101*c - d*c. What is the highest common divisor of c and 165?
33
Le
|
{
"pile_set_name": "DM Mathematics"
}
|
-5 + (sqrt(3) - -2*sqrt(3))*1 + -1 - (sqrt(45)/sqrt(12))/sqrt(5)*-3.
-6 + 9*sqrt(3)/2
Simplify -2*(-1*sqrt(162) + 1 + (sqrt(162) - 4*(4 + sqrt(162) - sqrt(162))) + -5 + 3)**2.
-578
Simplify (3*(sqrt(1872) + 1))**2*2*-3 - (-3 + sqrt(1872)*-1 + 2*-2*sqrt(1872))*-5.
-101157 - 1596*sqrt(13)
Simplify (-6*(sqrt(77) - (sqrt(77) + 3*sqrt(77))) + -1*sqrt(77)*5)/(sqrt(70)/(-2*sqrt(10)) - sqrt(112)/sqrt(4)).
-26*sqrt(11)/5
Simplify (2*sqrt(176)*4 + 0 - (-2*((sqrt(176) - -1*sqrt(176)) + sqrt(176) - sqrt(176)) + sqrt(176) + 5))**2*2.
-880*sqrt(11) + 42642
Simplify (-2 + sqrt(1088)*2*5 - ((2*sqrt(1088)*5)**2 + sqrt(1088) + ((sqrt(1088) - ((2*sqrt(1088) - sqrt(1088)) + sqrt(1088)))*1)**2)) + -1.
-109891 + 72*sqrt(17)
Simplify (0 + ((4 + sqrt(17))*-5 - (2 + sqrt(136)/sqrt(8)))*-1)**2 + -5.
264*sqrt(17) + 1091
Simplify 4 + -2 + ((sqrt(6) - (sqrt(6) - (sqrt(240)/sqrt(4))/sqrt(10)) - sqrt(6))/(sqrt(9)/sqrt(3)*1))**2 + 4.
6
Simplify -2 + (3*(sqrt(153)*1*5 + sqrt(153)))/(4*4*sqrt(9)*4) + 3.
1 + 9*sqrt(17)/32
Simplify (5 + (sqrt(3)*-1 + 1)*3 + (sqrt(243) - (4 + sqrt(243) + -1)) + -4)*2.
-6*sqrt(3) + 2
Simplify ((sqrt(24)/(sqrt(8)*-1))**2 + (sqrt(3) - (sqrt(6)/sqrt(2) - sqrt(3))*4) - (2 + (sqrt(3) + 1 + -3 - (-2 + sqrt(3) + -1 + sqrt(3))**2)))*3.
-36*sqrt(3) + 72
Simplify (((2*sqrt(108) + sqrt(108))/sqrt(6))/(1*2*sqrt(6)) + 4*4*(sqrt(243) + sqrt(243) + 6*(sqrt(243) + 0 + sqrt(243))))**2.
48843675/4
Simplify ((sqrt(8) + 1*sqrt(128) + (-2*sqrt(128) - sqrt(128)))/((sqrt(1944)*1 + sqrt(1944) + sqrt(1944))/(2*sqrt(24)))*5)**2.
39200/729
Simplify (4*(sqrt(117)*-2 + -2) + sqrt(130)/sqrt(90) + sqrt(208) + -5)**2.
1534*sqrt(13)/3 + 46774/9
Simplify -1 + (-5*(sqrt(612)*-2)**2*-6 - (2*sqrt(102)*-6 + sqrt(102))/(sqrt(6) + -4*sqrt(12)/sqrt(2))).
-11*sqrt(17)/3 + 73439
Simplify ((sqrt(60)/(sqrt(10) + -2*sqrt(10)) - sqrt(36)/(-1*sqrt(6)))/((sqrt(108) + -2*sqrt(108))*-1)*4)**2.
0
Simplify (-5*(1 + 4*((4*3*sqrt(832) - sqrt(832)) + (1 + sqrt(832) + -3 - sqrt(832)))))**2.
-123200*sqrt(13) + 40270025
Simplify ((-4 + -6*3*1*sqrt(1216) + (2 + sqrt(1216) + -3 - ((sqrt(1216) - (2 + sqrt(1216) + 2)) + sqrt(1216))))*1)**2.
288*sqrt(19) + 393985
Simplify (-3 + (sqrt(931) - sqrt(931)*3) + 1*sqrt(931)*4 - ((-3*sqrt(931) - sqrt(931))*5 - (sqrt(931) + sqrt(931) + -3 + -4)))**2.
-3360*sqrt(19) + 536356
Simplify 5*(((sqrt(1200) - ((sqrt(1200) - (sqrt(1200) + 0)) + 5)) + sqrt(1200))*-5 - (-2 + -1 + sqrt(1200) + -2))**2.
-66000*sqrt(3) + 730500
Simplify 6*(5 + ((sqrt(114) - sqrt(114)*-2)*-6 + sqrt(114))/(sqrt(432)/sqrt(8)) + ((sqrt(133)*-2 - sqrt(133))*-4)/(-6*sqrt(7)*-1)).
-22*sqrt(19) + 30
Simplify (2*sqrt(3024) + sqrt(21)*1*3)/((-6*sqrt(3)*2 - sqrt(15)/(sqrt(10)/sqrt(2)))*-3).
9*sqrt(7)/13
Simplify (-5*(1 + sqrt(612) + 5))**2 + -2*(0 + 1*sqrt(612)) + -4.
1788*sqrt(17) + 16196
Simplify 2 + ((-6*((sqrt(65) - (sqrt(65) + -4*sqrt(65)*-1)) + -2*(sqrt(65) + -1*sqrt(65))))/(2*(sqrt(5) - 3*sqrt(5)) + sqrt(20)/(sqrt(4)*2)))**2.
30050/49
Simplify ((2*(-2*sqrt(304) - sqrt(304)) + -5)*1 + (-1 + sqrt(304))*3 + 2 + sqrt(304)*-1 + -3)*6.
-96*sqrt(19) - 54
Simplify -4*(sqrt(90)/(-1*(sqrt(6) - -2*sqrt(6))))/(sqrt(9)/((sqrt(27)/sqrt(3))/sqrt(3)))*-2.
-8*sqrt(5)/3
Simplify (1 + 1*((2*sqrt(18)*6)/sqrt(6) - (sqrt(3) + 1 + sqrt(363) + sqrt(9)/sqrt(3) + 1))*6)**2.
132*sqrt(3) + 229
Simplify 3*-3*-4*((2 + sqrt(245)*2)**2 + (sqrt(245)*2 + sqrt(245))**2 + -2) + 5.
2016*sqrt(5) + 114737
Simplify (3*((6*(sqrt(931) + 1) + -3 + sqrt(931)*-2)*-3 - (-1 + ((sqrt(931) - sqrt(931)*-1)*2 + sqrt(931) - (2 + sqrt(931) + sqrt(931) + -2*sqrt(931))))))**2.
12852*sqrt(19) + 2421855
Simplify 6*-1*(sqrt(432) + 1 + 2)**2 - (1 + (sqrt(1089)*2 - sqrt(1089) - sqrt(1089))/(-3*sqrt(3)*1)).
-2647 - 432*sqrt(3)
Simplify (4*6*(sqrt(95) - -1*3*sqrt(95)))/(-4*(sqrt(180) - ((sqrt(180) - (sqrt(180) - sqrt(180)*1)*-3) + sqrt(180)))).
4*sqrt(19)
Simplify (sqrt(154)/(sqrt(7)*-3) + -2*sqrt(22)*4)/(5*((sqrt(704) - sqrt(11)) + 2*sqrt(11)*5)).
-5*sqrt(2)/51
Simplify 2*(-2*(1 + (5 + 2*sqrt(700) - (-4 + (sqrt(700) + 0 - sqrt(700)))))*-4)**2.
51200*sqrt(7) + 371200
Simplify -1*(-6*(5 + sqrt(28) + 2) + 0 + sqrt(2268) + sqrt(280)/(sqrt(40) - sqrt(10))).
-8*sqrt(7) + 42
Simplify (sqrt(78)/(sqrt(2)*-1))/(sqrt(3) - sqrt(12)/sqrt(4)*-2) + -3*((-2 + sqrt(468)*-2)**2 - sqrt(468)).
-5628 - 379*sqrt(13)/3
Simplify ((1*5*(sqrt(1872) + -4 + 1 + 1)*4)**2 + 1)*3.
-57600*sqrt(13) + 2251203
Simplify (1*(2*sqrt(1872) + -4)*2)**2 - 4*(-3*(sqrt(143) + sqrt(143)*1))/(sqrt(88)/(2*sqrt(8))).
-720*sqrt(13) + 30016
Simplify -1*((((0 + sqrt(891) + 5)*1)**2 - (sqrt(891) + ((sqrt(891) + 1 + sqrt(891) - sqrt(891)) + -2)**2 + -3))*-2 + -4).
58 + 198*sqrt(11)
Simplify (sqrt(95)*2*-2)/(sqrt(20)*1) - (5 + (sqrt(1539) - ((sqrt(1539) + -2*sqrt(1539))**2 + 0))).
-11*sqrt(19) + 1534
Simplify ((sqrt(95) + sqrt(95) + sqrt(95) + sqrt(95) + (sqrt(95) + sqrt(95)*-2 - sqrt(95))*-2 + sqrt(95)*2*-4)*1)/(4*(-1*sqrt(320) - sqrt(320))*-1).
0
Simplify (1 + 0 + (sqrt(4860) + -2*sqrt(4860) + sqrt(4860) + 1*sqrt(960))/((sqrt(12) - -2*sqrt(48)) + sqrt(588)*-1 + sqrt(588)) + 3)**2.
32*sqrt(5)/5 + 96/5
Simplify -2*-4*((sqrt(567) + (sqrt(567) + sqrt(567) + -4)**2 - sqrt(567)) + -3 - (-3*-4*sqrt(567))**2) + 2.
-634934 - 1152*sqrt(7)
Simplify sqrt(144)/sqrt(3) + -3 + sqrt(528)/sqrt(176) + sqrt(48) + -5 - 1*-1*sqrt(192)/sqrt(4)*-2.
-8 + sqrt(3)
Simplify (2 + ((sqrt(612) - sqrt(612)*1) + sqrt(612))*1 + -1 - (4 + 1*sqrt(612) + -5 + 0))**2.
4
Simplify (5*sqrt(637))**2 + sqrt(117)/sqrt(900) + 4*(sqrt(13) + -1*sqrt(1573) + sqrt(13) + -3*sqrt(13)*-2)**2.
sqrt(13)/10 + 16393
Simplify ((sqrt(60)/(1*(sqrt(9)/sqrt(3) + sqrt(3)) - sqrt(3)) - (-2 + (sqrt(5) + -5*sqrt(10)/sqrt(2) - sqrt(10)/sqrt(8)))) + 0)**2.
26*sqrt(5) + 861/4
Simplify (-4 + 4 + (sqrt(147) + sqrt(147)*-2 - sqrt(147)) + -3 + 1*(2 + sqrt(3))*-3)**2 + -4.
306*sqrt(3) + 944
Simplify ((-2*sqrt(68) + -1 + sqrt(68)*1*-3)**2 + (-4 + sqrt(68) + sqrt(68) + -1 + sqrt(68))*-3)*-5 + 5.
-8575 - 10*sqrt(17)
Simplify (-3*((sqrt(108)/(sqrt(150) + sqrt(6))*-2)/(sqrt(18)/sqrt(32) + sqrt(729)*-1) + 1))**2.
24*sqrt(2)/35 + 11057/1225
Simplify ((sqrt(84)/(sqrt(12) + sqrt(12)*-3) + -5)*-5 + 5*(sqrt(567) + 0)*5)**2.
11375*sqrt(7) + 1451675/4
Simplify -3 + (-4*-4*(sqrt(242) + (sqrt(242) - 1*sqrt(242))*3)*-2)**2.
247805
Simplify 4*(-3 + (sqrt(68)/sqrt(4))**2 - (0 + sqrt(1700) - sqrt(1700))**2) + -2 - ((sqrt(2448) + 5*2*sqrt(2448))*6*-1)**2.
-10663434
Simplify ((-4*sqrt(1782) + sqrt(88)*3)/(-6*(sqrt(242)*-1 + sqrt(242) - sqrt(24)/(sqrt(192) + sqrt(12)))))**2.
6875
Simplify -5*(sqrt(539) + sqrt(539) + ((-2 + sqrt(539) + sqrt(539))*-6 + sqrt(539))**2 + (-1 + sqrt(44) + -3)**2 + -4) + -3.
-327098 + 9250*sqrt(11)
Simplify -1*(sqrt(2187) + -2*sqrt(2187))/sqrt(9) + (sqrt(243)*-3 + 3 + -2)**2.
-45*sqrt(3) + 2188
Simplify 2*((1*sqrt(3146) + sqrt(3146) - sqrt(3146)) + sqrt(3146))/sqrt(512)*-6*2.
-33*sqrt(13)
Simplify -2*(4 + ((sqrt(156) - (sqrt(156) - (sqrt(156) - (sqrt(156) + sqrt(156)*2))*-1 - sqrt(156)))*2)/(-2*sqrt(1728) - sqrt(24)/sqrt(32))).
-8 + 48*sqrt(13)/97
Simplify ((2*sqrt(204)*-3)/(-1*sqrt(108)))**2 + (2 + sqrt(612)*-2 + 1*(sqrt(612) + sqrt(612) + sqrt(612) + (sqrt(612) - (sqrt(612) + 1))))**2 + 5.
12*sqrt(17) + 686
Simplify (sqrt(91) + 3*sqrt(91) + sqrt(91))/sqrt(7) + sqrt(13) - sqrt(13)*2*-6 - (-3 + (sqrt(104)/(1*sqrt(8)) - -2*sqrt(468))**2).
-2194 + 18*sqrt(13)
Simplify -6*(-5 + (-6*(sqrt(190)*-1 - sqrt(190))*4)/(-2*(-1*sqrt(250) - sqrt(250))) + 4)**2.
-16566/25 + 144*sqrt(19)/5
Simplify (2*((sqrt(65) - -2*sqrt(65)) + sqrt(65)) + (sqrt(65) + -1*sqrt(65))*5)/(5*(sqrt(5) + sqrt(500)*-5)).
-8*sqrt(13)/245
Simplify (4*(2*sqrt(325) + sqrt(325)) + sqrt(325) + -2 + 1)**2 + (sqrt(1872) + 0 - (sqrt(156) - sqrt(156)*2)/sqrt(12)).
-117*sqrt(13) + 54926
Simplify 1 + ((6*sqrt(4617)*2)/((sqrt(3) - sqrt(9)/sqrt(3) - sqrt(3))*-2 - (sqrt(3) - sqrt(3)*1)*-2) + 2)**2.
216*sqrt(19) + 55409
Simplify sqrt(40)/((2*sqrt(8) - sqrt(8))*-5) + -1 + (sqrt(20)/(sqrt(4) + sqrt(4)*1*6) + -4)**2.
-47*sqrt(5)/35 + 740/49
Simplify (((-2*sqrt(243))**2 + sqrt(243))*-2*-3 - (2 + sqrt(12) + (sqrt(12)/sqrt(4) + -5)**2 + 0))*5.
310*sqrt(3) + 29010
Simplify -2*(0 + sqrt(13)) - (-3 + (1 + sqrt(13))**2) - 2*(-2 + sqrt(13) + -1) - (-1*sqrt(52)/(sqrt(16)/sqrt(4)) + 0 + sqrt(208) + -5).
-9*sqrt(13)
Simplify (sqrt(931) + 4 +
|
{
"pile_set_name": "DM Mathematics"
}
|
sitive.
g**(32/15)
Simplify (t**(-1/3))**(8/9)/(t**4*t/t**(1/4)*t) assuming t is positive.
t**(-653/108)
Simplify (t**(3/4))**(-12)/((t/(t**(-4/7)/t))/(((t**(-10)*t)/t)/t)) assuming t is positive.
t**(-158/7)
Simplify ((g**(-5))**(-3/49))**16 assuming g is positive.
g**(240/49)
Simplify (i*i*(i*i*i*i*(i*i**(-13))/i*i)/i)**(-17/6)*i**1*i*i**4/i assuming i is positive.
i**(149/6)
Simplify ((s**(2/75))**(-25))**(-39) assuming s is positive.
s**26
Simplify i**(4/9)/(i/i**4)*i**(2/5)*i*i*(i/i**4)/i assuming i is positive.
i**(83/45)
Simplify (j/(j**(7/3)/j))**(-16)*j**20*j**(14/5) assuming j is positive.
j**(422/15)
Simplify ((v*v/(v/v**(-11))*v)/(((v/(v/(v/(v*v**(-11)*v))*v)*v*v)/v)/v)*v**(-3)*v**10/v)**(13/5) assuming v is positive.
v**(-156/5)
Simplify ((v**1)**24*v/v**(-6)*v**(-7))**20 assuming v is positive.
v**480
Simplify ((n**(16/9)/n)/n)/((n*n**(-14))/n)*(n**(2/13))**(-13) assuming n is positive.
n**(106/9)
Simplify ((o**(1/3)/o*o*o**(1/4)*o*o)/(o/((o/o**(-2/5))/o))**(-2))**(-18) assuming o is positive.
o**(-681/10)
Simplify a**(1/4)/a*a*a**(-3/4)/a*a**(-1)/(a/a**5) assuming a is positive.
a**(3/2)
Simplify a/a**(1/2)*a/(a**(-3/8)/a)*a**(-10)/a*a*a*(a*a**(8/7)*a*a)/a assuming a is positive.
a**(-167/56)
Simplify (q**30/(q*(q*q/(q/(q/(q*q*(q*q**(-24)*q)/q*q))))/q))**(-7/12) assuming q is positive.
q**(-14/3)
Simplify (t**(-5)/t**(-2))**16 assuming t is positive.
t**(-48)
Simplify (z**(-2/19)/z)/((z*z/z**0)/z)*z*z*z**0*z*(z/(z/z**10*z))/z*z*z assuming z is positive.
z**(207/19)
Simplify ((b*b**9)/(b*b/(b**(-20)/b)))/((b*b/((b**(-4/3)*b)/b)*b*b)/b*b*b**(-2)) assuming b is positive.
b**(-49/3)
Simplify p**8*p**(-2/11)*p*(p/(p*p/(((p*p**(2/5))/p*p)/p*p)))/(p*p*p**(-10)*p) assuming p is positive.
p**(892/55)
Simplify w**(-8/7)*w*w/(w/w**7)*(w**(-4)*w)/w*w*w*w*w*((w*w*w/(w*w**(-11)*w))/w)/w assuming w is positive.
w**(118/7)
Simplify ((f**10*f/f**(-8))/((f**(-7/6)*f)/(f*f*f/(f/f**(2/7)))))**(-14/3) assuming f is positive.
f**(-901/9)
Simplify (((j*j/(j*j**(-25)*j))/j)/j)/j*j*j*j*j**12*j**(-2/3)/(j/j**(-3/17)) assuming j is positive.
j**(1793/51)
Simplify ((i**(1/3)/(i*i**0/i*i))**(-10/13))**(-31) assuming i is positive.
i**(-620/39)
Simplify (d**(-2/11)*d)/d**(-14)*(d**(-2))**(-47) assuming d is positive.
d**(1197/11)
Simplify (p/((p**(-3/8)/p*p*p)/p*p*p*p)*p)**(-1/3)/(p**(-1/24)*p/((p*(p*p*p**24/p)/p*p*p*p)/p)) assuming p is positive.
p**(105/4)
Simplify (t/t**(2/21)*t/(t*t**(-1/2))*(t*t**(1/2)/t*t)**45)**(-6/7) assuming t is positive.
t**(-2894/49)
Simplify (d*d**11)/d*d**(-18)*d**(1/5)*d**(27/5) assuming d is positive.
d**(-7/5)
Simplify (d**(-1/2))**(-1)/(((d/d**(1/30)*d)/d)/(d**13/d)) assuming d is positive.
d**(173/15)
Simplify ((c*c**(-1/4)/c)/((c/(c**(13/6)*c))/c))**(3/46) assuming c is positive.
c**(35/184)
Simplify ((((n*n/(n/(((n/n**(-1/18))/n*n)/n)))/n*n)/n**(3/2))**(11/6))**(-46) assuming n is positive.
n**(1012/27)
Simplify i**(8/9)/(i**(2/53)*i*i)*((i/i**(-6))/i*i)/(i*i**(18/11)) assuming i is positive.
i**(16868/5247)
Simplify ((((a**(-7)/a)/a)/a**(6/7))**(3/5))**(-2/69) assuming a is positive.
a**(6/35)
Simplify (u*(u*u*u*u**(11/3)/u*u*u)/u)/((u/(u/u**(-14/3))*u*u)/u)*u**(2/25)/u**(5/4) assuming u is positive.
u**(3049/300)
Simplify i**(-25)/i**(-17)*(i**(-6/11))**(4/11) assuming i is positive.
i**(-992/121)
Simplify ((m*m**(-10/9))/(m**2/m))/((((m*m**(1/21)*m)/m)/m*m*m)/(m**11/m*m)) assuming m is positive.
m**(494/63)
Simplify q**(-4/3)/q**(-15)*q**(-14)*q**(-2/27)*q assuming q is positive.
q**(16/27)
Simplify (((q**(-2/33)/q*q)/q)/q*q*q**(-7/4))/(q**(-1/9))**(3/20) assuming q is positive.
q**(-461/165)
Simplify ((h*(h**(1/4)*h)/h*h)/h)**(-6/13)/(h*h*h/(h/(h*h/(h*h**(-6)*h*h*h))*h)*h*(h/h**(1/6))/h) assuming h is positive.
h**(-250/39)
Simplify (i*i**16*i*i*i*i**29)/(i*i**11*i*i)**(-8/7) assuming i is positive.
i**65
Simplify (((d/d**(-1/2))/d**(-2))/(d/d**2)**(-48))**(23/2) assuming d is positive.
d**(-2047/4)
Simplify (a/(a/(a/a**(-1/34)*a))*a**(-13)*a)/(a**(6/5)*a*a**(-4/23)) assuming a is positive.
a**(-46907/3910)
Simplify (y/(y**2*y)*y)**46*(y**0)**24 assuming y is positive.
y**(-46)
Simplify (f*(f/(f/(f*f/(f**(-6/7)*f)*f*f)))/f)/f*f**(10/3)*f**(-5/7)/((f*f*f**(1/32)*f)/f*f) assuming f is positive.
f**(1643/672)
Simplify (j/(j**(3/5)/j)*j)**(-1/8)*j/(j*j**(2/19)/j*j)*j*(((j/((j*j**(1/13))/j))/j)/j)/j assuming j is positive.
j**(-3661/2470)
Simplify (((z**(-3/2)/z)/z)**(-24))**(-22) assuming z is positive.
z**(-1848)
Simplify ((n**(5/6)/n*n*n)/(n/(n*n/n**(-5)*n))*(n/(n*n**(-2/5)))**(-24/7))**(4/3) assuming n is positive.
n**(3134/315)
Simplify (r**7/((r**(-23)/r)/r))**(1/74) assuming r is positive.
r**(16/37)
Simplify ((c/(c/(c*c/c**(-1/2))))**(2/39)*c*(c*c/c**0)/c*(c**7*c)/c)**(4/3) assuming c is positive.
c**(1424/117)
Simplify q**(-16)*q/((q*(q*q**4/q)/q)/q)*q*q*q/(q*q**(-3/10))*q*q**(-10) assuming q is positive.
q**(-247/10)
Simplify (((z**1/z)/(z/(z*z*z**4)*z))**(-3/11))**(-21) assuming z is positive.
z**(252/11)
Simplify (y*y**4)**(7/11)/(y*y**(1/7)*y*y**(-6/7)*y) assuming y is positive.
y**(69/77)
Simplify (((f**(1/2)/f*f)/f*f)**(-2/5)*f**(-1/6)*f**11*f)**(-1) assuming f is positive.
f**(-349/30)
Simplify (b**(-33)/b**(-13))/(b**(6/11)*b**(24/11)) assuming b is positive.
b**(-250/11)
Simplify r/r**(-3/10)*r*r**3*(r*r*r*r**(-1/3))/r*r**(3/5) assuming r is positive.
r**(227/30)
Simplify ((o*o/(o*o/((o*o**(2/23)*o)/o))*o)**14)**(2/9) assuming o is positive.
o**(448/69)
Simplify (s**(-4/7)*s**(-15/2))**(7/2) assuming s is positive.
s**(-113/4)
Simplify ((m**(2/13)/m)/m)/m**(3/7)*(((m/(m**(1/4)/m))/m)/m*m)**(-21) assuming m is positive.
m**(-6561/364)
Simplify m**(-1/37)/(m**(-1)*m)*m**(2/49)*(m*(m*m**(3/11)*m)/m)/m assuming m is positive.
m**(25657/19943)
Simplify ((n**2)**39*n**(-13)/(n**4*n))**(-4) assuming n is positive.
n**(-240)
Simplify (((a*a*a*a**2/a)**(2/79))**(-19))**40 assuming a is positive.
a**(-6080/79)
Simplify u*u*u*u**(4/11)*u/(u*u/(u/(u/u**(-2/25))))*(u/u**6)**(-41) assuming u is positive.
u**(57003/275)
Simplify (y*y/((y*((y**(2/3)/y)/y)/y)/y))**(-4/5)*y**(-5)*y**(1/16) assuming y is positive.
y**(-2017/240)
Simplify (i**13/i**(-10/7))/(i/(i/i**(4/5)))**36 assuming i is positive.
i**(-503/35)
Simplify ((a*a*a**(-10)*a)/(a/(a*a**(-11)*a)))/(a**(1/18)*a**(-2)) assuming a is positive.
a**(-271/18)
Simplify (r/(r**(-4)/r*r))/r*r*r**(-9)*r**0/(((r*r**(-1/18))/r*r)/r) assuming r is positive.
r**(-71/18)
Simplify w**(-1/8)*(w**(-2/11)/w)/w*w*(w/w**(2/5))/w*w*w*w**(-6) assuming w is positive.
w**(-2511/440)
Simplify (z*z*z**2/z)**36*(z/(z/(z**(-3)*z*z)))/z**(7/4) assuming z is positive.
z**(421/4)
Simplify (t/(t*t**(-4)*t*t))**0*t/(t**(-1)*t)*t*t*t/(t/t**(2/7))*t*t assuming t is positive.
t**(37/7)
Simplify (((u/u**(-9))/u)/(u/(u**(-1/8)/u*u)*u))/(u**(-2/15)*u/(u/((u*u/u**(1/22)*u)/u))) assuming u is positive.
u**(6671/1320)
Simplify (k**(-2/19)*k*k**9)/(k**12/k**(-12)) assuming k is positive.
k**(-268/19)
Simplify (l**(-1/2))**(-30)*l**(-18)*l*l**(1/3) assuming l is positive.
l**(-5/3)
Simplify d**7/d*d*d*d**(-10)/d*d*((d**(1/5)*d)/d*d)**(-26) assuming d is positive.
d**(-166/5)
Simplify (v**(-1/8))**(-7/13)*(v**(-1/2))**(-46) assuming v is positive.
v**(2399/104)
Simplify ((j*j*(j*j*j*j**(-4/3)/j*j*j)/j*j)/(j**(-6/7)/j)*(j**(2/5)/j)**(4/9))**20 assuming j is positive.
j**(876/7)
Simplify o**(2/35)/o**(-1/5)*(o/((o**5*o)/o))**(-10/3) assuming o is positive.
o**(1427/105)
Simplify p**7*p*p**14*(p**1/p)**(-2/29) assuming p is positive.
p**22
Simplify (r**27*r*r/(r**(-3/2)*r))/(r**(-15))**(-28) assuming r is positive.
r**(-781/2)
Simplify (((w/w**0*w)**(15/7))**(-1/27))**29 assuming w is positive.
w**(-290/63)
Simplify (o**(-2))**21/(o**(-1/14)/o**5) assuming o is positive.
o**(-517/14)
Simplify (((((v/(v/(v*(v**(-4/3)/v)/v)))/v)/v)/v)/(v/(v*v*v**23)))**(6/7) assuming v is positive.
v**16
Simplify (r**(-2/11))**(1/6)*(r**1)**(-10) assuming r is positive.
r**(-331/33)
Simplify b**(-3/2)/(b*b**(-3))*(b/b**(-2/33))/(b*(b*b*b/(b/b**(5/6)))/b) assuming b is positive.
b**(-14/11)
Simplify (y/y**(2/11))/(y/(y/y**(-13)))*((y/(y*y*y*y**2*y))/y)**46 assuming y is positive.
y**(-2884/11)
Simplify ((y*y/(y/(y*y*y**(2/13))))/y*y/(y*y*y/y**12*y*y*y))/(y/y**(2/11))**(1/37) assuming y is positive.
y**(48316/5291)
Simplify
|
{
"pile_set_name": "DM Mathematics"
}
|
.
-14405 - 240*sqrt(5)
Simplify 1*((sqrt(1539) + -1)*6 + 5) + (5*sqrt(76) - (2 + sqrt(19) + 2 + sqrt(19)))*3.
-13 + 78*sqrt(19)
Simplify (5*(sqrt(132) + (-6*(sqrt(132) + sqrt(132) + (sqrt(132) - (sqrt(132)*-1 - sqrt(132)))) - sqrt(132)) - -2*sqrt(132)*-5))/(-4*(sqrt(2352)*2 - sqrt(48))).
25*sqrt(11)/13
Simplify ((2*(4*(sqrt(42)/sqrt(3) + sqrt(14)))/sqrt(7) + 4 + (-4*sqrt(162) + 3 - sqrt(162)))*4)**2.
-6496*sqrt(2) + 27696
Simplify 3*((sqrt(133) - (sqrt(133) + sqrt(133)*-1)*5 - sqrt(133))*3)/(((sqrt(56) + sqrt(56)*4 + sqrt(56))/sqrt(2))/sqrt(4)).
0
Simplify -5*(3 + sqrt(55)/(sqrt(11) + (sqrt(132)/sqrt(3))/sqrt(4)) + (sqrt(300)/(2*sqrt(5)))/(sqrt(588) + sqrt(588)*1)).
-15 - 75*sqrt(5)/28
Simplify ((((0 + sqrt(125))*-1 - (sqrt(125) - (sqrt(125) + -5 + -1 + sqrt(125) + sqrt(125)))) + sqrt(125) + -1 + 5 + sqrt(125)*3 + 2)*3)**2.
28125
Simplify 0 + (-2 + sqrt(75))*-2 + 6*((-5*-1*sqrt(15))/sqrt(5))**2 + 4.
-10*sqrt(3) + 458
Simplify -4 + -6*(sqrt(98)/(-6*1*sqrt(7)))/(sqrt(28)/sqrt(4)*-2 - (-2*sqrt(700) + sqrt(7))).
-4 + sqrt(2)/17
Simplify ((-3*(2*(sqrt(1694) + sqrt(1694)*-2) + sqrt(1694)))/((2*sqrt(7)*-5 + (sqrt(168)/sqrt(3))/sqrt(8))*3))**2.
242/81
Simplify (((2*sqrt(99) + sqrt(99))/sqrt(3) - 2*sqrt(825))/(sqrt(363)*3 + (sqrt(12) - sqrt(48))/sqrt(4)))**2.
539/1024
Simplify (2 + (sqrt(96) - sqrt(96)*2 - sqrt(192)/(1*sqrt(8)))/(sqrt(84)/(6*(sqrt(7) + sqrt(21)/sqrt(3)))))**2.
-144*sqrt(2) + 2596
Simplify (1 + sqrt(6)/sqrt(98) + 4)**2 + ((sqrt(144)*-2 + sqrt(144))/sqrt(6))/(sqrt(32)/(sqrt(8)/sqrt(2))).
3*sqrt(3)/7 + 1228/49
Simplify -3*-1*(0 + -4 + -2*sqrt(1620) + 0)**2.
864*sqrt(5) + 19488
Simplify (-2*1*(sqrt(65) + -2*sqrt(65))*6)/(2*((sqrt(75)*2 + sqrt(75))/sqrt(5) - sqrt(15))/sqrt(3)).
3*sqrt(13)
Simplify ((-2 + 3 + (sqrt(1100) + 0)*6 + -4)*-3*-5)**2.
-81000*sqrt(11) + 8912025
Simplify ((-2*(-1*sqrt(187)*-2 - sqrt(187)))/(sqrt(1331)*-3*-2) + 4)*-1.
-4 + sqrt(17)/33
Simplify (-2*sqrt(1296) - sqrt(1296) - (sqrt(400) + (sqrt(400)*3 - sqrt(400))))/(sqrt(88)/sqrt(99) - sqrt(64)/(sqrt(24)/sqrt(3)))*-4.
-252*sqrt(2)
Simplify ((-1*(sqrt(14) + sqrt(42)/sqrt(3)))/(sqrt(8) - -3*sqrt(8)) + (5*sqrt(7)*-5 - sqrt(63)/(sqrt(9)*2)))*-3.
309*sqrt(7)/4
Simplify (sqrt(187)*2*2 + sqrt(187) + 2*sqrt(187)*2)/(-1*(sqrt(704)*-2 - sqrt(704))).
3*sqrt(17)/8
Simplify -4*(-2 + 5 + ((sqrt(605)*-2 + -1)**2 + (sqrt(605) - (sqrt(605) + 0)**2) + -2 - -4*((sqrt(605) + -2*sqrt(605))*-2)**2)).
-45988 - 220*sqrt(5)
Simplify 1*(5 + 4*(-5 + (((sqrt(68) + sqrt(68)*2)*2)**2 - sqrt(68)) - (-1 + sqrt(68) + -1 - (sqrt(68) + 0)*-1)) + -2).
-24*sqrt(17) + 9783
Simplify 3*(5*3*(sqrt(85) + (sqrt(85) - (sqrt(85)*1 - sqrt(85))) + sqrt(85)))/(sqrt(60)/(((sqrt(132)*4 - sqrt(132)) + sqrt(132))/sqrt(11))).
540*sqrt(17)
Simplify (6*(1 + (6*(6*(sqrt(34) - sqrt(34)*1) + sqrt(34)))/(6*sqrt(6)/sqrt(27))))**2.
216*sqrt(17) + 5544
Simplify (sqrt(77)/(sqrt(56)/(sqrt(32)/sqrt(4))) - (5*(sqrt(11) - sqrt(22)/sqrt(2))*-4)**2) + (-2*(sqrt(891) + 0 + sqrt(891) + 0 + 5))**2.
721*sqrt(11) + 14356
Simplify 4 + (-4*(-6*-5*sqrt(77)*3)/(-4*sqrt(7)*2 + (sqrt(56)/sqrt(2))/sqrt(4)))**2.
1425796/49
Simplify (4 + 5 + (1*sqrt(539)*-6 - (1 + (sqrt(539) - sqrt(539)*-2)) - (1*sqrt(539)*2 - (-1 + sqrt(539))*2)))**2 + 4.
-756*sqrt(11) + 43699
Simplify (5*-1*sqrt(108)*-2)/(4*(sqrt(900) + 4*sqrt(900)*-1)).
-sqrt(3)/6
Simplify (-3*sqrt(66)/((3*sqrt(99))/sqrt(9)))/((sqrt(1400)/sqrt(4))/(sqrt(847)*-1)).
11*sqrt(3)/5
Simplify (-5 + (sqrt(136)/(sqrt(24)/sqrt(3)) + (3 + sqrt(833))**2 + 4)*1)*-2.
-1682 - 86*sqrt(17)
Simplify 4*(((sqrt(68) + sqrt(68) + 1)*-1)**2 + 5 + sqrt(68)*-1 - (-1*sqrt(68) + 5 + ((sqrt(68) + 2)*1)**2)).
804
Simplify -1 + (sqrt(847) + -4*sqrt(847) + 2)**2 - (-1 + (1 + sqrt(7) + 0 - (sqrt(7) + -2 + -4))).
-132*sqrt(7) + 7620
Simplify 2*(-5*(3 + sqrt(75) + 1 - -3*(-1 + sqrt(75) - sqrt(75)))**2 - (-1 + sqrt(75) + 1 + 0 + 0)**2).
-910 - 100*sqrt(3)
Simplify (-5*-1*sqrt(136)*5)/(-6*(sqrt(800) + (sqrt(800) - sqrt(800)*3 - sqrt(800)))).
5*sqrt(17)/24
Simplify 5 + 1 + (sqrt(280) - (3*(sqrt(280) - -6*sqrt(280)) - sqrt(280) - sqrt(280)))/(sqrt(10) + sqrt(4840) - sqrt(10)).
-18*sqrt(7)/11 + 6
Simplify (-1*(sqrt(40)/((sqrt(96) - (sqrt(96) + sqrt(96)*-1))/sqrt(12) + sqrt(8)) - sqrt(55)/(sqrt(44)/sqrt(4)*4)) + 4)*-5.
-20 + 5*sqrt(5)/4
Simplify 5*(((sqrt(363)/(-2*sqrt(11)) - (2*sqrt(2673) + sqrt(33) + sqrt(33)))/((sqrt(1584)*-1 + sqrt(1584) - sqrt(1584))*-5))**2 + -3).
-12719/960
Simplify (-2 + 2*((sqrt(242) - ((sqrt(242) - 4*sqrt(242)) + -5) - sqrt(242))*5 + -4 + -2))**2.
23760*sqrt(2) + 219096
Simplify ((4*(2 + 4 + sqrt(1331) + 1) + -3)*3)**2.
19800*sqrt(11) + 197289
Simplify (((-1 + sqrt(252) - sqrt(252)) + sqrt(252) + 1 - (3 + 0 + sqrt(252))) + (4*-1*sqrt(847) + sqrt(847))*-1)**2.
-198*sqrt(7) + 7632
Simplify ((sqrt(500)/sqrt(2) + sqrt(10) - (1*sqrt(10)*2 - sqrt(10)))*-6)/(-2*sqrt(5)*-4*-6*-2).
-5*sqrt(2)/16
Simplify ((-2 + sqrt(112) + sqrt(112))*-2 - (3 + sqrt(112) + 0) - (3*4*sqrt(567) + -1))**2.
-512*sqrt(7) + 114692
Simplify ((sqrt(1331) - (sqrt(1331) + 1 + sqrt(1331) + sqrt(1331) + 5)) + 3 + sqrt(1331) + -1 + sqrt(1331) + 2 + -4 + 4 + (sqrt(1331) - 4*sqrt(1331)) + -5)**2.
462*sqrt(11) + 12028
Simplify (-4 + (((sqrt(684) - sqrt(684)*2) + 2 - (sqrt(684) + -2*sqrt(684)*-6)) + -1*(sqrt(684) + -2 + -1 + sqrt(684)))*-5*-5)**2.
-580800*sqrt(19) + 109454641
Simplify (sqrt(11) + sqrt(275) + sqrt(275) + -2 - (sqrt(539)*-1 + sqrt(539)))**2 + ((-1*1*sqrt(121))/(2*1*sqrt(11)))**2.
-44*sqrt(11) + 5351/4
Simplify (4*sqrt(468)*-1*-2)/((3*(sqrt(40) + sqrt(160)))/(sqrt(1000)*-2 + sqrt(1000)))*-4.
320*sqrt(13)/3
Simplify 4 + (-5 + (sqrt(1700) + sqrt(1700)*3 - sqrt(1700) - sqrt(1700))*-5)**2 + (-2*sqrt(1700) + 3 - (sqrt(1700)*-1*-1)**2)*-6.
1120*sqrt(17) + 180211
Simplify (-2*(sqrt(152) + 5*((sqrt(152) - (sqrt(152)*4 - sqrt(152) - sqrt(152)) - sqrt(152)) + sqrt(152)) - sqrt(152)))/(sqrt(24)/(5*sqrt(3))*-1).
-50*sqrt(19)
Simplify ((sqrt(108)*-1*-5 + 1*1*sqrt(108))/((sqrt(12) - (-2*sqrt(48))/sqrt(4) - sqrt(12))/(5*sqrt(2)*-1)))**2.
4050
Simplify (sqrt(1539) + 3)**2 - (-2 + sqrt(19) + 3) - ((2*sqrt(228) + sqrt(228))*-2)/((1*sqrt(36))/sqrt(3)).
59*sqrt(19) + 1547
Simplify -6*(((sqrt(91) + 2*sqrt(91))*6 - -5*sqrt(91)*2)/(2*-4*sqrt(112)))**2.
-1911/32
Simplify (-6*(3*sqrt(114)*-1 - ((sqrt(114) - sqrt(114)*-1)*2 - sqrt(114))))/(sqrt(24)/(sqrt(484)*1)*2).
198*sqrt(19)
Simplify ((sqrt(18) + sqrt(18) + sqrt(72) + -4)**2 - (-2*sqrt(2178) - sqrt(2178)))*-3 + ((sqrt(192)/(sqrt(24)/sqrt(2)))/sqrt(8))**2 + -3*(-1 + sqrt(2) + 3).
-916 - 12*sqrt(2)
Simplify -4 + sqrt(425) + 1 + sqrt(425) + (sqrt(425) - (-2 + sqrt(425))) + ((-2 + -1 + sqrt(425) + sqrt(425))*-1)**2 + 2.
-50*sqrt(17) + 1710
Simplify ((-1*(sqrt(189)*-1)/sqrt(9))/(sqrt(28)/(sqrt(16)/sqrt(4))*-1))**2*-3 + -4.
-13
Simplify (sqrt(96)*-2 - sqrt(42)/(sqrt(7)*-2))/(sqrt(27) + (sqrt(108)/(sqrt(4)*-4) - sqrt(27)))*1.
10*sqrt(2)
Simplify 4*(((sqrt(120)*2)/sqrt(6) - (0 + sqrt(405) - sqrt(60)/((sqrt(48) - sqrt(12)) + sqrt(12))))**2*-3 + 5).
-1195
Simplify 5*((1 + (sqrt(200) - (-3 + sqrt(200) - sqrt(200)) - sqrt(200)))**2*2 - (4 + sqrt(200)*1 + ((sqrt(200) + 1*sqrt(200))**2 - sqrt(200))*5)).
-19860 + 200*sqrt(2)
Simplify -4 + -1*sqrt(176) - 2*-1*sqrt(176) - 2*((2*sqrt(176)*4)**2 - ((sqrt(176) - sqrt(176)*-2) + -1)).
-22534 + 28*sqrt(11)
Simplify -5*(((sqrt(64) - (-2*sqrt(64)*2 + sqrt(64)))/(sqrt(18) - sqrt(162)))**2 - ((sqrt(32) + sqrt(32) + 1 + sqrt(64)/sqrt(2))*-5*-6)**2).
108000*sqrt(2) + 11703860/9
Simplify (6*-2*(sqrt(88) + sqrt(88) + (sqrt(88)*-2 - sqrt(88))*6))/(sqrt(8) - 3*(sqrt(8) + sqrt(32)/sqrt(4)) - (sqrt(8) + (sqrt(72) - sqrt(8)))*6).
-192*sqrt(11)/23
Simplify (-2*sqrt(224)*-2*-4)/((-6*(-2*sqrt(2) - sqrt(2)) + -1*sqrt(6)/sqrt(3))*4).
-16*sqrt(7)/17
Simplify (5 + ((sqrt(352)*1 + sqrt(352))/sqrt(11) - (sqrt(96)/sqrt(2))/sqrt(6)))**2 + 2.
60*sqrt(2) + 99
Simplify (((4*(sqrt(684)*-1 + 0) - ((sqrt(152)/sqrt(4))/sqrt(2) + sqrt(19) + (sqrt(2299) + -1 - sqrt(19)))) + -5)*4)**2.
4608*sqrt(19) + 394240
Simplify (3*(2 + sqrt(28))*6 + 4 - 5*(sqrt(112) + -6*(-1 + sqrt(112))))**2.
2720*sqrt(7) + 129572
Simplify 1*(-5 + (3*2*-2*sqrt(272) - (3 + (sqrt(272) + 0 - sqrt(272)) + 3)))**2.
1056*sqrt(17) + 39289
Simplify (-2*(0 + sqrt(13))*6)**2 + 5 + 5 + (1 + 4*-2*sqrt(1573))*2.
-176*sqrt(13) + 1884
Simplify (5*(-2 +
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 724
Simplify (-4 + -4 + ((sqrt(171) - sqrt(171)*-1) + sqrt(171) + 2)*3)**2.
-108*sqrt(19) + 13855
Simplify (3*(4*sqrt(121) - sqrt(121)))/((2*sqrt(132))/sqrt(12)).
9*sqrt(11)/2
Simplify 2*(sqrt(196) - (sqrt(196) + sqrt(196) + sqrt(196)*2)*1)/(sqrt(567)*-2 + sqrt(42)/sqrt(96)).
48*sqrt(7)/71
Simplify 4*((sqrt(245) + -3 + sqrt(245) + -2 + sqrt(245) + sqrt(245))**2 + -1 + (sqrt(245) - (sqrt(245) + 1))).
-1120*sqrt(5) + 15772
Simplify (sqrt(171)/(sqrt(324) + (sqrt(324) - -2*sqrt(324))))**2 - (2*(sqrt(1216) + sqrt(1216) + 1 + sqrt(1216) - sqrt(1216)))**2.
-11208941/576 - 128*sqrt(19)
Simplify (-5 + (sqrt(243) + -1 + sqrt(3)*2 + 1)*-2)**2.
220*sqrt(3) + 1477
Simplify (-2*sqrt(70)*1)/(6*(sqrt(10) - sqrt(10)*2)) - 4*sqrt(6300)*-1.
361*sqrt(7)/3
Simplify ((-1 + -3 + sqrt(117) + sqrt(117) - sqrt(117)) + (sqrt(117) - (sqrt(117) + -1*sqrt(117))*-1))**2*1.
-48*sqrt(13) + 484
Simplify 2 + (5*(sqrt(300) + 1 + 0) + 5)**2.
1000*sqrt(3) + 7602
Simplify (sqrt(3) + 1*sqrt(3) + 1 + (sqrt(21) + sqrt(525))/sqrt(7))**2 - (3 + -6*(sqrt(3) + 2))**2.
-92*sqrt(3) + 4
Simplify ((sqrt(35) - sqrt(875)*1 - 2*2*sqrt(35))/(2*1*sqrt(7) - 4*sqrt(14)/sqrt(2)))**2.
80
Simplify ((-2 + sqrt(75) + 5)**2 + 4 + (sqrt(12) - sqrt(48)/sqrt(4)))*1.
30*sqrt(3) + 88
Simplify ((3*sqrt(5)*-2)**2 - sqrt(45)/(sqrt(63)/sqrt(7) + sqrt(9))) + (-4 + 2 + -2 + sqrt(20))**2.
-33*sqrt(5)/2 + 216
Simplify (sqrt(735) + (sqrt(735) - (sqrt(735) - (sqrt(735) + (sqrt(735)*-1 - sqrt(735))))))/(-2*sqrt(75)).
0
Simplify ((sqrt(100) - sqrt(100)*2 - sqrt(100))/sqrt(10)*-4)/((sqrt(4500)*2)/sqrt(9)).
2*sqrt(2)/5
Simplify -5*((3*2*sqrt(108)*-3)**2 + 3).
-174975
Simplify (-4*sqrt(12)/sqrt(4) + sqrt(3) - ((sqrt(3) - sqrt(48)) + -1))*4 + 3.
7
Simplify 4*(4*5*(sqrt(171) + 2) + 2)*2.
336 + 480*sqrt(19)
Simplify (3*(1*sqrt(1200) + sqrt(1200) - sqrt(1200) - sqrt(12)))/(sqrt(600) - (sqrt(600) - sqrt(600)*-1)*3 - sqrt(600)).
-9*sqrt(2)/20
Simplify 4 + (2*((sqrt(637) + -1*sqrt(637) - sqrt(637)) + 4 + -3)*6)**2.
-2016*sqrt(13) + 91876
Simplify (2 + (-5*sqrt(108)/sqrt(4))/(sqrt(45)/sqrt(125)))**2.
-100*sqrt(3) + 1879
Simplify 3 + sqrt(891)*-4 - (-1 + sqrt(539)*6)**2.
-19402 + 48*sqrt(11)
Simplify -4 + (1*-6*sqrt(77)*1)/(-3*(1*sqrt(539) + sqrt(539))).
-4 + sqrt(7)/7
Simplify (-1 + sqrt(432) + sqrt(432) + sqrt(432) + 1 + sqrt(432) + (sqrt(432)*2 + sqrt(432))*3 + sqrt(432))**2 + -5.
84667
Simplify sqrt(567) + 1 - (sqrt(7) - (sqrt(847)*2 + sqrt(847) + sqrt(7)))**2 - ((4 + sqrt(21)/sqrt(3))*-6)**2.
-8450 - 279*sqrt(7)
Simplify -1*sqrt(16)/sqrt(32)*-1 - ((sqrt(216) - (sqrt(216) + 1*(sqrt(216)*-1 - sqrt(216) - sqrt(216)) + sqrt(216)))/sqrt(12))**2.
-72 + sqrt(2)/2
Simplify ((sqrt(35) + sqrt(2240)*1)/(sqrt(847)*-2))**2 + 4*(-1 + sqrt(245)) + 0.
-1531/484 + 28*sqrt(5)
Simplify ((-5*(sqrt(78)/sqrt(3) - sqrt(26))*-2)/((-2*sqrt(128))/sqrt(4)))**2.
0
Simplify 1 + sqrt(2)*1*2 + -4*sqrt(250)/sqrt(5).
-18*sqrt(2) + 1
Simplify 5 + 3 + (sqrt(30) - (sqrt(30) + 2*sqrt(3630)))/(-3*-1*sqrt(10)).
-22*sqrt(3)/3 + 8
Simplify ((sqrt(5616) - (sqrt(5616)*3 + sqrt(5616)) - sqrt(5616) - sqrt(5616)) + sqrt(5616))/(1*sqrt(18)/sqrt(6)) + -1.
-48*sqrt(13) - 1
Simplify (-1*sqrt(245))**2 + sqrt(245) + (sqrt(5) + (sqrt(30) + sqrt(210)/sqrt(7))/sqrt(6))**2 + -4 + ((-1 + sqrt(405))*2)**2.
-65*sqrt(5) + 1910
Simplify 3 + -4 + -2*sqrt(3) + (-5 + (0 + sqrt(432) - sqrt(432)))**2.
-2*sqrt(3) + 24
Simplify (sqrt(54)/(sqrt(12)/sqrt(4)) - (sqrt(18) + 1*sqrt(882)))/((sqrt(162)*1)/sqrt(2)).
-7*sqrt(2)/3
Simplify (((sqrt(272) - (3 + -1 + sqrt(272))) + sqrt(272) + sqrt(272) - 2*sqrt(272)*4) + -5)*1.
-24*sqrt(17) - 7
Simplify (3*-3*((sqrt(76) - (sqrt(76) + (-3*(sqrt(76)*-5 + sqrt(76)) - sqrt(76)))) + sqrt(76))*-2)**2.
2462400
Simplify ((sqrt(1372) + -2*sqrt(1372) - sqrt(1372))*-1)/(sqrt(24)/(2*(sqrt(6)*-2 + sqrt(6)) - sqrt(6))).
-42*sqrt(7)
Simplify (4 + (sqrt(2736) - (4 + (sqrt(2736) - (sqrt(2736) + sqrt(2736) + 0)))) + -4)**2.
-192*sqrt(19) + 10960
Simplify (sqrt(252) - (sqrt(252) + 2) - sqrt(252))**2 - sqrt(252) - (sqrt(567) + 2 + -2).
9*sqrt(7) + 256
Simplify (((sqrt(75) - (sqrt(75) + -1 + sqrt(75))) + sqrt(75))**2 - sqrt(12)/(sqrt(196) + sqrt(4))) + 4.
-sqrt(3)/8 + 5
Simplify (sqrt(5) + 0)*4 + -2*sqrt(5) + -4 - (2*(sqrt(5) + 2)*-3)**2.
-328 - 142*sqrt(5)
Simplify (3*sqrt(208) - (-5 + sqrt(13)*-3)) + -5.
15*sqrt(13)
Simplify 1*((sqrt(1620)*4)/(sqrt(36)*1))**2 + -3.
717
Simplify -5 + 3 + (sqrt(2057)*2 + 3 + sqrt(2057) + sqrt(2057) + -5*(sqrt(2057) + 2))**2.
154*sqrt(17) + 2104
Simplify (((sqrt(130)*-2 - sqrt(130))/sqrt(10))**2 - (2*sqrt(1300) + sqrt(13))**2) + 1 + sqrt(1053)*-1*6.
-5615 - 54*sqrt(13)
Simplify (sqrt(209)/(sqrt(176) + sqrt(11)) - sqrt(475)*3 - (sqrt(114) + (4*(sqrt(114)*-1 - sqrt(114)) - sqrt(114)))/(sqrt(726)*1))**2.
11382444/3025
Simplify (6*(sqrt(8)/sqrt(4)*6 + sqrt(2) + (sqrt(2) - (sqrt(8) - sqrt(2)))*3))**2 + -3.
3525
Simplify 2*-2*(-5 + sqrt(39)/sqrt(3) + (3*sqrt(1872))**2).
-67372 - 4*sqrt(13)
Simplify (2*-4*1*sqrt(1539))**2*5 + 3.
492483
Simplify (0 + (sqrt(140) - (sqrt(140) + (sqrt(140) - (sqrt(140) - -2*(sqrt(140) - (sqrt(140)*-2 - sqrt(140))))) + sqrt(140)))/sqrt(5))**2.
1372
Simplify (-2*sqrt(70)*-1 + -1*sqrt(70)*1)/((sqrt(10) - (sqrt(10) - sqrt(40)/sqrt(4))*-2) + sqrt(1000)*-1).
-sqrt(7)/9
Simplify (sqrt(3) - (2*sqrt(3) + -4)) + (sqrt(3) - -1*sqrt(3)*-5)**2 - sqrt(108)/(sqrt(4) + sqrt(16) - sqrt(4)).
-5*sqrt(3)/2 + 52
Simplify (sqrt(112) + (sqrt(112)*-1 + sqrt(112))*1)/(2*-4*sqrt(36)).
-sqrt(7)/12
Simplify (sqrt(1584) + 1 + 3)*-5 + 5.
-60*sqrt(11) - 15
Simplify sqrt(12)/(sqrt(48)/sqrt(8)*-2)*-1*-5.
-5*sqrt(2)/2
Simplify sqrt(252) + (sqrt(252)*-1*5 - sqrt(252))**2 - (sqrt(343) + 1 + sqrt(343) - (sqrt(21) - sqrt(84) - sqrt(21))/sqrt(3)).
-10*sqrt(7) + 9071
Simplify (1 + -5 + -1*-2*sqrt(833) + sqrt(119)/sqrt(63) + -1 + (sqrt(17) - sqrt(17)*-1))**2.
-490*sqrt(17)/3 + 41042/9
Simplify 3 + ((sqrt(76) + -1)**2 - sqrt(76)) + sqrt(76) + 4 - -5*(sqrt(76) - (sqrt(76) + sqrt(76)*2)**2)*1.
-3336 + 6*sqrt(19)
Simplify 1 + (-4 + (sqrt(112) + 2 + sqrt(112) + 5)*-1)**2*6.
1056*sqrt(7) + 3415
Simplify (sqrt(2736) - -1*sqrt(2736)*-4) + (sqrt(95)/(sqrt(60)/sqrt(192)))**2.
-36*sqrt(19) + 304
Simplify (-2 + (2*sqrt(65))/sqrt(5))*1 + ((sqrt(13) + -1 + sqrt(13))*2 - ((sqrt(13) + 0 - sqrt(13)) + 2 + sqrt(13)))*-6.
-16*sqrt(13) + 22
Simplify (((1*sqrt(154) + sqrt(154))*4)/sqrt(11))/((sqrt(972)*-1 - sqrt(972))/sqrt(6)).
-4*sqrt(7)/9
Simplify 5*(1 + -3 + sqrt(2) + (3*sqrt(2))**2*-2).
-190 + 5*sqrt(2)
Simplify -2 + 4 + 0 + sqrt(1377) + sqrt(1377) + (sqrt(833) + sqrt(833)*2)**2*-6 + -2.
-44982 + 18*sqrt(17)
Simplify (-1*sqrt(1470))/sqrt(6) + (sqrt(245) + 2 + sqrt(245) + 4)**2.
161*sqrt(5) + 1016
Simplify ((1*sqrt(36) + sqrt(36))/sqrt(12) - sqrt(3))*1 + ((sqrt(90)/sqrt(24))/sqrt(5))**2.
3/4 + sqrt(3)
Simplify (sqrt(68)*-1*-5 + ((sqrt(68)*-2 + sqrt(68))*-3 - sqrt(68)))/((-3*sqrt(484) - sqrt(484) - sqrt(484))*-3 - sqrt(484)).
sqrt(17)/22
Simplify -3*(0 + sqrt(1331) + sqrt(1331)) - (-1 + sqrt(275))*-2.
-56*sqrt(11) - 2
Simplify ((5*sqrt(190) + sqrt(190))*-2)/(sqrt(40)/(-5*sqrt(4))).
60*sqrt(19)
Simplify (-4 + sqrt(242) + 1 + -4)**2 + -3.
-154*sqrt(2) + 288
Simplify (3*(-2*sqrt(104) + sqrt(104)) + -6*-2*sqrt(104))/(sqrt(64)/(sqrt(72)*3 + sqrt(8))).
90*sqrt(13)
Simplify 4*(sqrt(432) + (-1*sqrt(432) - sqrt(432)))/(6*(sqrt(6) + sqrt(12)/sqrt(2))).
-2*sqrt(2)
Simplify sqrt(2)*-1 + -3 - sqrt(2) - -2*sqrt(4)/sqrt(2) - (1 + sqrt(128) + (sqrt(128) - (sqrt(128) + (sqrt(128) + -4 + sqrt(128))**2))).
-136*sqrt(2) + 524
Simplify ((sqrt(15) + 6*sqrt(60))/(sqrt(125)*-1))**2 - -6*(2 + -2*sqrt(243))**2.
-432*sqrt(3) + 146907/25
Simplify (5*(sqrt(2736) + sqrt(2736)*-1)**2 + 3)*2 + -4.
2
Simplify (sqrt(110)*-2*-4 - sqrt(110))/(sqrt(250) + sqrt(250)*-1 + sqrt(250) + sqrt(250)).
7*sqrt(11)/10
Simplify -4*-2*sqrt(605) - 3*5*sqrt(605).
-77*sqrt(5)
Simplify ((-5*1*sqrt(7) - sqrt(7))*1 - 6*sqrt(112)*-3)**2.
30492
Simplify ((-3*-6*sqrt(136))/(6*sqrt(968)) + 4)**2.
24*sqrt(17)/11 + 2089/121
Simplify (((sqrt(144)/sqrt(4) - sqrt(36)) + sqrt(36))/sqrt(2)*-6)**2 - (-4 + (sqrt(2) - 1*2*sqrt(2))**2 + -5).
655
Simplify ((6*sqrt(102)*1)/sqrt(6) - ((sqrt(136) - (-3*sqrt(136) - sqrt(136)))/sqrt(8) + -4))**2.
8*sqrt(17) + 33
Simplify (sqrt(14)/sqrt(2) + 0 + (sqrt(168)/sqrt(3))/sqrt(8) + -3*(1 + sqrt(7))*5 + -1)**
|
{
"pile_set_name": "DM Mathematics"
}
|
-2.1
Round -6940930 to the nearest one hundred thousand.
-6900000
What is 0.00010370467273 rounded to 6 decimal places?
0.000104
What is -0.0009530479649 rounded to 5 dps?
-0.00095
What is -0.0970050596 rounded to 6 dps?
-0.097005
Round -199497.0198 to the nearest one thousand.
-199000
What is 0.0000670497411 rounded to five dps?
0.00007
What is 42378.603 rounded to the nearest ten?
42380
What is -54.116948 rounded to 1 decimal place?
-54.1
What is 0.001827376611 rounded to five decimal places?
0.00183
What is 6659246.7 rounded to the nearest 100000?
6700000
What is 2765998000 rounded to the nearest one million?
2766000000
What is -552731290 rounded to the nearest one million?
-553000000
Round 21374832 to the nearest 1000000.
21000000
Round 0.0913710112 to 3 dps.
0.091
Round -5208680.43 to the nearest 100.
-5208700
What is 0.203540613 rounded to 5 dps?
0.20354
What is 0.003814752066 rounded to 4 dps?
0.0038
What is 2016881.193 rounded to the nearest 100000?
2000000
Round -0.000015831511 to 6 decimal places.
-0.000016
What is -15356.0042 rounded to the nearest 1000?
-15000
Round 0.0233424821 to four dps.
0.0233
Round 0.146127904 to one dp.
0.1
Round 0.0001746719603 to 4 dps.
0.0002
What is 52314655.6 rounded to the nearest one million?
52000000
Round -0.000709554457 to six decimal places.
-0.00071
What is 679119.8 rounded to the nearest ten thousand?
680000
What is -0.00353331425 rounded to 6 decimal places?
-0.003533
Round 0.0005597295 to three dps.
0.001
What is 0.00002551069376 rounded to seven dps?
0.0000255
What is 0.000469167628 rounded to seven decimal places?
0.0004692
Round -10.02149026 to zero decimal places.
-10
Round 0.14477740408 to two dps.
0.14
What is -1848.93908 rounded to the nearest 10?
-1850
Round -0.196044934 to 1 decimal place.
-0.2
What is -7351.83695 rounded to the nearest ten?
-7350
What is -101168.46 rounded to the nearest one thousand?
-101000
Round 0.004970586772 to 5 dps.
0.00497
What is -747186608 rounded to the nearest 10000?
-747190000
What is -3221532.1351 rounded to the nearest 100?
-3221500
What is 6.5387579 rounded to three dps?
6.539
Round 137796912 to the nearest 1000000.
138000000
Round -0.000018829826143 to 7 dps.
-0.0000188
What is 1.0694813 rounded to 1 dp?
1.1
What is -834.608131 rounded to the nearest integer?
-835
What is 69358.2304 rounded to the nearest one thousand?
69000
Round 548.302374 to the nearest ten.
550
What is 0.0000240257888 rounded to 7 decimal places?
0.000024
What is 0.0000120977241 rounded to 5 dps?
0.00001
Round -230467555.6 to the nearest 100000.
-230500000
Round -13.7362194 to three decimal places.
-13.736
What is 4553813377 rounded to the nearest one million?
4554000000
Round -0.0003488225307 to 7 decimal places.
-0.0003488
Round 139773776.1 to the nearest 1000000.
140000000
Round 4396733.331 to the nearest one hundred.
4396700
What is -1661743200 rounded to the nearest 1000000?
-1662000000
What is -0.01592376108 rounded to 5 dps?
-0.01592
What is -0.00393987661 rounded to seven dps?
-0.0039399
What is -2524651.152 rounded to the nearest one million?
-3000000
What is 8597.6439 rounded to the nearest ten?
8600
Round 0.147816313 to two decimal places.
0.15
What is 17.07782138 rounded to 2 decimal places?
17.08
What is 2.49524353 rounded to the nearest integer?
2
Round -835.686825 to the nearest ten.
-840
Round 3129121.547 to the nearest 100.
3129100
Round 104329.9888 to the nearest ten thousand.
100000
Round -83.96212052 to three decimal places.
-83.962
What is 28685.053 rounded to the nearest 1000?
29000
Round -0.0000003544128434 to seven dps.
-0.0000004
What is -0.1092404688 rounded to two decimal places?
-0.11
What is -0.91233784 rounded to zero dps?
-1
Round -43671.8422 to the nearest one hundred.
-43700
Round -473.2744473 to 0 decimal places.
-473
What is 32168.4622 rounded to the nearest ten?
32170
Round -416288.0524 to the nearest 100.
-416300
What is 50288566.62 rounded to the nearest one thousand?
50289000
Round -0.000100524297 to seven decimal places.
-0.0001005
Round 253435.6151 to the nearest one hundred.
253400
What is -3394.3187 rounded to the nearest 1000?
-3000
Round 1.3457131 to two decimal places.
1.35
What is -160.071577 rounded to 0 dps?
-160
Round 0.00883156105 to 5 dps.
0.00883
Round -89296874 to the nearest one hundred thousand.
-89300000
What is 0.0015330671 rounded to 4 dps?
0.0015
Round 0.0004522913372 to six decimal places.
0.000452
Round 805529680 to the nearest 1000000.
806000000
What is 47777717 rounded to the nearest one million?
48000000
What is -0.0000101543358 rounded to seven dps?
-0.0000102
Round 4490.830596 to the nearest 1000.
4000
What is 0.00008963786 rounded to 3 decimal places?
0
What is -1.5916647 rounded to 3 decimal places?
-1.592
What is -0.004538313138 rounded to four decimal places?
-0.0045
Round 897286.226 to the nearest one thousand.
897000
Round -0.00113568429 to 6 dps.
-0.001136
Round 376.495357 to two decimal places.
376.5
Round 52440699 to the nearest 100000.
52400000
What is 23349777.3 rounded to the nearest ten thousand?
23350000
Round 31.5544938 to 1 decimal place.
31.6
What is -8722972.4 rounded to the nearest 1000000?
-9000000
What is 0.0012699081046 rounded to five dps?
0.00127
Round 0.00125937497 to 4 dps.
0.0013
What is 0.0001145980922 rounded to 5 dps?
0.00011
What is -0.1984407945 rounded to three dps?
-0.198
Round 34550678.5 to the nearest one thousand.
34551000
Round -17939733.546 to the nearest one million.
-18000000
What is 45359798.9 rounded to the nearest ten thousand?
45360000
What is 8227808500 rounded to the nearest 1000000?
8228000000
Round -0.0000003593132202 to seven decimal places.
-0.0000004
Round -2.22919107 to three dps.
-2.229
Round -14.62531778 to 2 dps.
-14.63
Round 94056.7679 to the nearest one hundred.
94100
Round 0.00104424121 to 7 decimal places.
0.0010442
What is -164014278.05 rounded to the nearest 1000000?
-164000000
What is -7469819832 rounded to the nearest one million?
-7470000000
What is -3772379.5 rounded to the nearest one million?
-4000000
Round 7141.974024 to the nearest one hundred.
7100
Round -807114850 to the nearest one million.
-807000000
Round 561091610 to the nearest 100000.
561100000
What is 37.342044 rounded to 0 dps?
37
What is -63.768393 rounded to the nearest one hundred?
-100
Round -3658325420 to the nearest 100000.
-3658300000
Round -1182799.912 to the nearest 100.
-1182800
Round -322463.301 to the nearest 10000.
-320000
What is -2.6695671 rounded to one decimal place?
-2.7
Round -244.3261598 to the nearest integer.
-244
What is 0.00646715043 rounded to 3 decimal places?
0.006
What is -7583.7114 rounded to the nearest one hundred?
-7600
What is 240885866 rounded to the nearest 100000?
240900000
Round 65366.3063 to the nearest 10000.
70000
Round 902216.17 to the nearest one thousand.
902000
What is -3580620.1 rounded to the nearest 100000?
-3600000
Round 0.0000341161547 to 6 dps.
0.000034
What is 47188.78516 rounded to the nearest ten?
47190
Round 1.24028106 to the nearest integer.
1
What is -690.78504 rounded to the nearest 10?
-690
What is -3872.68878 rounded to zero dps?
-3873
Round -61539.58212 to the nearest 1000.
-62000
What is 192461.46 rounded to the nearest ten thousand?
190000
Round -36.7546929 to 2 dps.
-36.75
Round 0.00004537608 to four dps.
0
What is 4556327.49 rounded to the nearest one million?
5000000
What is 2889313.171 rounded to the nearest 10000?
2890000
What is 0.00000335438675 rounded to 7 dps?
0.0000034
Round -311284.94 to the nearest one thousand.
-311000
What is -0.0000838306784 rounded to five dps?
-0.00008
Round -638310.4214 to the nearest one hundred thousand.
-600000
What is -7.13340353 rounded to 3 dps?
-7.133
What is 80435912.95 rounded to the nearest 10000?
80440000
What is -118997.804 rounded to the nearest one thousand?
-119000
Round 0.00005121620248 to 5 decimal places.
0.00005
Round 0.000000044550321 to seven decimal places.
0
What is -50191.4062 rounded to 0 decimal places?
-50191
What is 0.1137298305 rounded to four dps?
0.1137
What is 8838413.52 rounded to the nearest one thousand?
8838000
Round -4823355.82 to the nearest 100.
-4823400
Round 531.43172 to 1 decimal place.
531.4
Round 0.00000190595148 to seven decimal places.
0.00
|
{
"pile_set_name": "DM Mathematics"
}
|
x = 34 - -12. Calculate the remainder when x is divided by 16.
14
Let z be -25 + (1 - -4 - 4). Calculate the remainder when 55 is divided by (-200)/(-14) + z/84.
13
Suppose 2*l + 0 + 2 = 0. Let y be (-8)/2 + 1 + l. What is the remainder when 26 is divided by ((-14)/(-3))/(y/(-12))?
12
Let g = 4 - 0. Suppose 3*v - 62 = 5*a, -g*a = -5*v + 41 + 45. What is the remainder when v is divided by 4?
2
Let n(r) = 41*r**2 - 2*r - 2. Let l be n(2). Suppose x + x = l. What is the remainder when x is divided by 27?
25
Let r(y) = y**3 + 22*y**2 + 20*y + 10. Calculate the remainder when r(-21) is divided by 17.
14
Let z = -14 - -27. Suppose n = 6 - 1, -n - z = -2*k. Let q = 22 - -13. Calculate the remainder when q is divided by k.
8
Let h = 5 + -3. Suppose 0*k = -h*k + 8. Suppose -k*z + 71 = 4*o - 9*z, 4*z - 4 = 0. What is the remainder when o is divided by 11?
8
Let l(r) = r**3 - 2*r**3 + 5*r**2 - 2 + 6. Let k be l(5). Suppose -k*p - p + 60 = 0. What is the remainder when 23 is divided by p?
11
Let t = -6 + 41. Let o(y) = y**2 + 17. Let n be o(0). Let g = n + -5. Calculate the remainder when t is divided by g.
11
Suppose 28 + 0 = 4*c. What is the remainder when 25 is divided by c?
4
What is the remainder when 4*(67/2 + 2) is divided by 9?
7
Let w(h) = 5*h - 3. Let z(d) = d - 1. Let p(c) = -w(c) + 6*z(c). What is the remainder when 11 is divided by p(9)?
5
Let c = -19 + 54. Calculate the remainder when 172 is divided by c.
32
Suppose 5*i - 48 = 2*i. Calculate the remainder when 41 is divided by i.
9
Let f(d) = -2*d**2 - 6*d + 4. Suppose -65 = -2*x - 3*x. Calculate the remainder when x is divided by f(-3).
1
Let h = 6 + 36. Suppose 0*i - i = -11. What is the remainder when h is divided by i?
9
Suppose -2*c + v = 3*v - 336, 4*c - 668 = -3*v. Suppose -2*q = 4*u - 106, 0 = 5*q - q - 4*u - c. Calculate the remainder when q is divided by 23.
22
Suppose 4*v = 3*i - 36 + 7, -3*i - 4*v = -13. Let q be (2 + 8/(-6))*6. Suppose -q = -2*k + 2. Calculate the remainder when i is divided by k.
1
Calculate the remainder when 2 is divided by (1 + -3)*1/(-2).
0
Suppose 0 = 3*z - 4*a - 5, -3*z = -2*z + 2*a - 5. Let v(m) = -z*m - 6 + 3*m + 5*m + 2*m**2. What is the remainder when v(-5) is divided by 7?
5
Let p be ((-235)/(-1))/(2/(-8)). What is the remainder when (-2)/(-5) - p/25 is divided by 20?
18
Let t = -2 + 4. Suppose 6 = 2*j - 2*l, -3*j - 4*l + 15 = 2*j. Calculate the remainder when j is divided by t.
1
Suppose v + 2*v = 15. Suppose -x = -v*x + 76. What is the remainder when x is divided by 7?
5
Let z(k) be the first derivative of 3*k**2/2 - 2*k + 1. Let n(w) = -w**3 - 9*w**2 - 11*w - 4. What is the remainder when n(-8) is divided by z(3)?
6
Let a = -13 + 8. Let g = a - -6. What is the remainder when 3 is divided by g?
0
Let p(a) = -7*a**3 + a + 4. Let b be p(-2). Suppose -x - 3 + 0 = -3*g, -2*g + b = 4*x. Let d = 41 - 7. What is the remainder when d is divided by x?
10
Let k be (-6 + 4)*(0 - 7). Let p(c) = -c**3 + 22*c**2 - 2*c + 57. What is the remainder when (k/2)/(3/21) is divided by p(22)?
10
Let z(x) = -5*x + 1. Let y be z(-1). Let t be 12/2*4/y. Suppose -t*r + 37 = -3. Calculate the remainder when 29 is divided by r.
9
Suppose -3*k + 3*n = -0*k - 27, -5*k + 63 = n. What is the remainder when 35 is divided by k?
11
Let n(g) = g + 7. Let p(v) = 1. Let w(k) = -3*n(k) + 21*p(k). What is the remainder when 29 is divided by w(-5)?
14
Let r = -8 - -8. Suppose r = 2*p + p - 3, 3*p = -2*x + 65. Suppose -5*q + 137 = 3*w, w - 4*w - x = -q. Calculate the remainder when q is divided by 10.
8
Suppose -5*s - 4 - 16 = 5*o, 4*s = 4. Let u(j) = -j - 2. Calculate the remainder when 8 is divided by u(o).
2
Suppose -3*r + 114 = -60. Calculate the remainder when r is divided by 30.
28
Suppose 5*h - 237 + 99 = -2*u, -5*h = 20. Calculate the remainder when u is divided by 8.
7
Suppose -t - 4*q + 9 = -1, -4*t + 2*q = -94. Calculate the remainder when (20/(-8))/((-2)/52) is divided by t.
21
Suppose -3*p = p - 72. Let w = -13 + p. Calculate the remainder when w is divided by 3.
2
Suppose -3*h + 3*i = -2*i - 123, -h + 5*i = -31. Calculate the remainder when h is divided by 16.
14
Suppose 4*f = f + 78. Let t = 5 - -9. Calculate the remainder when f is divided by 132/14 + (-6)/t.
8
Suppose -55 = -2*o - 1. What is the remainder when o is divided by 14?
13
Suppose 0 = -h + 2*h - 14. Let o be (-30)/9*6/5. Calculate the remainder when (o/10)/(2/(-130)) is divided by h.
12
What is the remainder when 214 is divided by (1 + -55)*(-25)/50?
25
Let b(l) = 0*l - 4*l - 5*l**2 + 3*l - l**2. Let d be b(-1). Let t = 39 + d. Calculate the remainder when t is divided by 12.
10
Let w(b) = -b - 1. Let x be w(-6). Let o(g) = g**3 - 5*g**2 + g + 12. What is the remainder when o(x) is divided by 1 + 0/1 - -5?
5
Suppose 8*n + 272 = 16*n. Calculate the remainder when 132 is divided by n.
30
Let g = -6 + 13. Let l = 14 + g. What is the remainder when 82 is divided by l?
19
Let t(s) = -s - 3. Let r be t(-3). Suppose -z = -3*z + 2*p + 10, r = -2*z + 5*p + 13. Calculate the remainder when 14/(1*(-4)/(-2)) is divided by z.
3
Let s = 62 + -110. Let o = 70 + s. Calculate the remainder when 63/6*4/1 is divided by o.
20
Suppose 2*i + 30 = 5*i. Let k = 3 + 0. Suppose -6*w + k*w + 54 = 0. Calculate the remainder when w is divided by i.
8
Let m(b) = 8*b + 49. What is the remainder when 30 is divided by m(-5)?
3
Suppose -3*u - 61 = -4*m + 42, 50 = 2*m - 2*u. What is the remainder when m is divided by -4 + -2 + 20 + 2?
12
Suppose 4*b - 36 = -8. Let k = 24 + -11. What is the remainder when k is divided by b?
6
Suppose -5*i + 0*i + 165 = 0. Let t = i - 18. What is the remainder when 59 is divided by t?
14
Suppose -5*a = -a + 3*m - 60, -4*a = 2*m - 56. What is the remainder when a is divided by 6?
0
Suppose -7*p = -2*p - 40. Calculate the remainder when 14 is divided by p.
6
Let c(n) = -4*n. Let j be c(-1). Suppose -3*i + 73 = -0*h - j*h, -h = i - 15. Calculate the remainder when i is divided by 10.
9
Suppose 4*y = 3*d + 2*y - 295, 5*y + 495 = 5*d. Suppose -d = -3*r - 1. What is the remainder when r is divided by 17?
15
What is the remainder when ((-4)/(-1))/(18/153) is divided by 9?
7
Let w(p) = -p**3 - 4*p**2 - 4*p + 4. Calculate the remainder when w(-4) is divided by 6.
2
Let v = -42 + 77. Suppose -5*k + 5*z + v = 0, -19 = -5*k - z + 34. Calculate the remainder when 29 is divided by k.
9
Let k(s) = -3*s + 4 - 2*s + 2*s. Let i be k(3). Let q = 2 - i. Calculate the remainder when q is divided by 4.
3
Suppose 235 + 80 = 3*m. Suppose -2*w + m = w. Calculate the remainder when w + 1 - (1 - 3) is divided by 10.
8
Let c(l) = 8*l - 20. What is the remainder when 82 is divided by c(4)?
10
Suppose 71 = 4*z - 9. Calculate the remainder when 116 is divided by z.
16
Let u(z) = z**3 - 11*z**2 + 13*z - 22. Suppose 5*l - 21 = -4*m, -2*l = -3*m + 10 - 0. What is the remainder when (-84)/9*(-6)/m is divided by u(10)?
6
Let i = -55 + 184. What is the remainder when i is divided by 26?
25
Suppose 3*i + i - 132 = 0. Let d = 9 + i. What is the remainder when d is divided by 15?
12
Suppose y - 18 = 4*w, -3*w - 2 = 3*y + 4. Calculate the remainder when w/((-16)/68)*5 is divided by 22.
19
Suppose 2*z - 2 - 18 = 0. Calculate the remainder when z is divided by 3.
1
Suppose t = -3*t + 212. Suppose 56 = -i + 5*i. What is the remainder when t is divided by i?
11
Let v(p) be the second derivative of p**5/10 + p**4/2 - p**3/3 + 2*p**2 - 2*p. Let i be v(-5). Calculate the remainder when 34 is divided by 6/(-21) + i/(-7).
10
Suppose -11*t = -17*t + 480. Calculate the remainder when t is divided by 29.
22
Let z = 155 - 88. Calculate the remainder when z is divided by 17.
16
Suppose -k + 19 = -3*s, 0*k + k + s = 7. Let i(c) = 4*c. What is the remainder when k is divided by i(1)?
2
Suppose 2*q + 0*q + 4*s - 68 = 0, q + 5*s - 31 = 0. Calculate the remainder when q is divided by 13.
10
Suppose -44 = -4*y - 0. What is the remainder when 43 is divided by y?
10
Calculate the remainder when 43 is divided by 11/(-3 - 4/(-1)).
10
Let w = -1 + 3. Suppose -w*h - 18 = -5*h. What is the remainder when 1 is divided by (2/h)/(1/3)?
0
Suppose 5*t - 4*b = 0, t - b + 1 = -0*t. Let o be 66 + (2 - 0)/1. Suppose 0 = -t*a + 8*a - o. Calculate the remainder when a is divided by 9.
8
Ca
|
{
"pile_set_name": "DM Mathematics"
}
|
s (894/(-10))/3*7955/(-1406444) + (-4)/26?
1/68
Evaluate ((-38)/570)/(57/684).
-4/5
(-1*5/10)/(259675/4810 + -54)
37
Calculate ((-7940)/5955)/((-8)/(-402)).
-67
Calculate 49*-1*(-1)/(-117) + (860/(-90) - -10).
1/39
Evaluate (1 + (-117)/90)/((-28)/2240).
24
(20/(-120))/((-10320)/(-774))
-1/80
What is (52/(-54))/((-195)/5265)?
26
((-5)/(-6))/((-8967)/26901)
-5/2
What is ((-10 - (-493)/34)/(10/8))/(2/(-10))?
-18
Calculate 834/12 - (0 + (-216)/(-112) + 20/(-14)).
69
What is the value of 322/(-22) + (-5369)/(-413)?
-18/11
Evaluate 441/84*((-77)/21 + 4) - 282/152.
-2/19
(26545/(-53090))/(47*1/(-4))
2/47
Calculate (2 + -24)*710/(-781) - 32.
-12
What is (-7)/(-196)*-6 + (-154628)/(-2408)?
64
93 + (-800)/50 - 57
20
Calculate 273/(-105) + 144/(((-1125)/(-20))/(-15)).
-41
Evaluate ((-35937)/(-484) + -75)*(4/(-13))/(-1).
-3/13
What is the value of (2612/27426)/(20/(-14))?
-1/15
(-482139)/7653 + 29/1
-34
Calculate (106 - 154 - 185/(-5)) + -73 + 1.
-83
What is the value of ((-12)/9)/(33 - 11910/360)*1?
16
Evaluate ((-22)/3)/((-8530)/(-4265)).
-11/3
Calculate -11 + 2/(-1) - (51 - 37 - -5).
-32
What is (((-20)/5)/(-1380))/((-69 - -42)/135)?
-1/69
Evaluate 10*(315/30 - 11).
-5
Calculate (-1 - -14) + -23 + (100793/594)/17.
-1/54
What is (732412/(-3772) + 194)*(-4)/14?
2/41
What is the value of (1 + 1)/((72/96)/((-9)/24))?
-1
Calculate (6 - (-663)/(-143))*110/10 + -168.
-153
(-705)/(-20)*(-3760)/(-1410) - -30
124
What is 555*(-15)/(-540)*((-19)/(-152) + 84/(-160))?
-37/6
What is the value of ((-2484)/(-162) - 15)*(-36)/8?
-3/2
2 + (-7)/3 - (-98 - (-6363)/189)
64
(903/55 - 392/49)*5 + 23/(-253)
42
Calculate ((-35)/15 + 4)*(-3)/(7 + 16/(-3)).
-3
Calculate (-2)/6 + (-4)/(-17) + (-3204824)/(-29534712).
2/191
What is (-109)/(-3597) + -3*(-293)/396?
9/4
Calculate ((-588)/154 + (-6)/33)*(-7)/2.
14
What is the value of (-2)/22 - ((-1042)/88 - -13)?
-5/4
Evaluate 833/((-139)/(10286/(-629))).
98
What is the value of -11 - (-143)/869*67?
2/79
(4*14/12)/(4344/3258)
7/2
10260/35055*(6 - (-175)/(-30))
2/41
Evaluate (-2224)/(-48) - (-130)/(-39).
43
2061/(-458)*(-44)/9
22
What is the value of (136/(-14) + -100 + 110)*(3 + 70/(-24))?
1/42
What is (-76)/133*((-8)/((-16)/(-6)) + -25)?
16
What is the value of ((-35)/56)/(1050/9660)?
-23/4
(-32)/10*-1445*26/(-1768)
-68
Calculate 1824/76608 - (-836)/(-21000).
-2/125
Evaluate ((-7)/((-294)/7) - 2/(-4))*(-24948)/(-504).
33
Calculate ((-152)/(-90) - 472/(-4248))/(4/(-180)).
-81
Calculate (40/((-3440)/(-5289)))/(6/(-4)).
-41
Evaluate (-4 - -10) + -5 + -30*(-2)/20.
4
What is the value of (105/6 + (-281 - -256))/(-15)?
1/2
What is the value of (-176)/(-2112)*(-4 + 22) + (-31)/8?
-19/8
What is the value of 728/(-676) - 14784/(-546)?
26
What is the value of (-500)/140*798/95?
-30
Evaluate (-8 - (-287)/(-7)*1) + (12 - 1) + -4.
-42
What is the value of 680/26180 + 8553/(-231)?
-37
What is (-4)/(480/18)*(-336)/(-504)?
-1/10
Calculate 46 - -8016*(-32)/1536.
-121
-6*8/(-26664)*71/((-497)/(-154))
4/101
What is (-78)/65*1615/(-306)*-6?
-38
What is (644/(-828))/(((-115)/495)/23)?
77
Calculate 32/288*(-9 - -72).
7
960/480*(-4)/12*-129
86
((-45)/5 + (-583)/(-106))/((-1)/14)
49
What is -516*((-3514)/(-84) - 42)?
86
(-14*177/70210)/((4 + -1)/(-15))
3/17
(-1 + 1 - -3)/(-32 + 33) + (-16)/(-12)
13/3
46/(32200/(-2060)) + 6 + -3
2/35
Calculate (-71)/426 + ((-3)/(-12))/((-210)/(-1940)).
15/7
(7/42)/(-1*(-208)/(-156))
-1/8
What is ((-3291351)/3420)/113 - 2/24?
-43/5
((-3240)/(-144))/(513/38)
5/3
Calculate ((-3)/9)/((25 - (-1001)/(-39))*4/(-48)).
-6
Evaluate (27/90)/((-48)/32).
-1/5
Calculate 1/(-4)*98*348/549927.
-2/129
Calculate (146/57 - 2) + ((-414)/38 - 6017/(-547)).
2/3
Calculate (-2952)/(-40296) + 21*10/(-2415).
-1/73
Evaluate 1*11 + (18 + (0 - 5))/(551/(-493)).
-12/19
What is ((-501872)/(-542201))/((-28)/(-264))?
96/11
(213/(-1136))/(6435/3120)
-1/11
Evaluate (-1)/((-2994)/1044 - (-8)/(-144)*3 - -3).
29
Evaluate 619444/464583*(93/(-4) + (0 - 0)).
-31
Evaluate (239/478)/(11/(-66) + 41/264).
-44
What is the value of 8/(125/(-63375)*104)?
-39
Evaluate (-1090)/(-26) + (-12625)/(-164125).
42
(5 + 57/(-12) - (-105)/84)*(-11 + 5)
-9
What is the value of (-3)/10 - (5386/(-360) + (-2355)/(-157))*-2?
-2/9
What is 1 + 15 + 6 + 13 + (-44)/11?
31
What is -5067 - -4976 - (-40947)/450?
-1/150
4914/7938*189/24
39/8
Calculate (-536)/21574*(-777)/(-222).
-2/23
Calculate 94 - (62 - 17375/(-550)).
9/22
Calculate 312/(-1144) - (-408)/44.
9
What is 2821/(-806) - -1*292/(-8)?
-40
What is ((-4)/19)/(162/(-90) - (-1378)/1060)?
8/19
Evaluate (1 - (-85)/(-25))*(20 + -25) - 13.
-1
What is (-86633)/(-4226) + (-3510)/172?
4/43
Calculate 324/(-1458) + 1*(-62)/(-522).
-3/29
((624/56)/(-3) + 6)/(55/77)
16/5
(398 - 560)*(((-55)/10)/(-11))/(-1)
81
(3 + -2)*(0 + -11 - -6*68/(-51))
-19
What is the value of (14 + 15)/(-957)*(12 + 0 + 0)?
-4/11
What is 64/(-176) + 16 + 973/(-77) + -43?
-40
What is the value of (-43)/129 + (5856/(-864))/(2/12)?
-41
(25895/(-370) - (-2 - 26)) + 27 - 30/(-2)
1/74
What is the value of ((-1473)/19640)/((-2)/(-2) + 0)?
-3/40
What is -2 + 13 + ((-108)/(-90) - (-1334)/(-110))?
4/55
What is the value of (-19206)/3927 + (-24)/(-136) - -7?
16/7
(166/(-14) + 1)/((-2318)/133 + 16)
38/5
What is the value of (-988)/(-54834) - (-20997)/(-999) - (-675)/32?
3/32
32214/(-1976) - 30/(-2) - 5/(-4)
-1/19
Calculate (-1722)/(-2460) + 278/(-340).
-2/17
Calculate (-957)/11484*-14*48.
56
What is ((-28)/(-28))/(2/(-2))?
-1
Evaluate (13 - (6 - 8))/((-1)/3*1).
-45
1414/21*-18*(-33)/(-396)
-101
What is (-1290)/(-16 - -59) - 416/(-14)?
-2/7
What is (-14)/18*(-117 + 55760/476)?
-1/9
Evaluate ((-13)/((-195)/27))/(-21 + (-6919)/(-330)).
-54
What is the value of (456/133)/(-4) + (-7)/(-735)*6?
-4/5
What is 3/((-12)/8) + -87 + 85 - (0 + 61)?
-65
Evaluate 10 + (-352)/(-22) - (29 + -4).
1
Evaluate (388/12)/(1 - (8/(48/50) - 7)).
-97
Calculate (-24)/(-63)*43785/(-45870).
-4/11
392/28 + 1645/(-35)
-33
What is (84/(-84))/(112/80 + 885/(-650))?
-26
What is 20 - (240/144)/((-5)/6*(-39)/(-117))?
26
Calculate -13 - ((-6303)/99 + 49).
5/3
Calculate 6/8 - (23 - ((-11529)/(-532) - -1)).
8/19
What is the value of (2/(-9))/(214/(-19260)) - 57?
-37
What is ((-5712)/(-14280))/((-9)/480)?
-64/3
Evaluate 69750/175950 + 12/(-34).
1/23
(-9)/84*(60 + 3400/(-60))
-5/14
(343/266 - (-44)/209)*(-1)/(-3)
1/2
What is the value of (14 - 0) + -11 + 1403/(-1495) + -2?
4/65
What is the value of (1/(-1074))/(115/552*56/70)?
-1/179
Evaluate 80/24 + 18469/(-8760) + (204/(-40) - -5).
9/8
(354/20)/((-26)/((-8710)/(-201))) + 21/(-6)
-33
What is ((-1672)/(-55) - 12)*((-315)/(-18) - 15)?
46
Calculate 12/92*(-285)/(-855).
1/23
Evaluate (-5 + (-105)/(-20))*(-50 - -65 - -389).
101
Calculate ((-33)/(-12))/(10302303/(-26664)).
-2/281
What is ((-94)/(-517))/((-35)/(-55))?
2/7
Calculate (-155)/((-35340)/(-2128)) - (4 + -18).
14/3
What is (11/572*4)/(240/312)?
1/10
What is the value of 1/15*(-652 + 608)/(24/15)?
-11/6
Calculate (9/75 + 546/11700)/(-3).
-1/18
Evaluate 283426/12870 - (11 - -2) - 9.
1/45
(-230806)/(-110519) - 7/(-21)*-6 - 12/174
2/103
(64484/(-3087))/(50/(-15) - -6)
-47/6
Evaluate (-33)/(-1122)*34*13 + (-23)/2.
3/2
(-4*(-3)/(-14))/(-174*2486/16632 - -26)
108
What is (-208)/(-174) + (-508)/(-3683)?
4/3
Calculate ((-1132461)/6642)/((-11)/(-4)).
-62
Calculate (-3)/(6/94) - (-35)/(315/72).
-39
Calculate (-1)/(-47)*(-4)/(11*52/(-143)).
1/47
Evaluate (-154)/(-21)*206/824.
11/6
Evaluate (4610/33192)/((-1)/28) - (-3 + 1).
-17/9
((-820)/(-60) + -11)*108/48 - -53
59
Evaluate (60435/36261)/(1/42*5).
14
What is -22 + (-14 - (-4 - -8) - -14)/(-4)?
-21
Evaluate (-98)/112*(1653/(-133) - -12).
3/8
Calculate -8*(10 + -10 + 943/(-184)).
41
(-1725)/(-135) - (-39)/(-3)
-2/9
(-12)/(-14)*7658/1641*5/(-6)
-10/3
Evaluate ((-12)/56)/((-2990)/182 + 17).
-3/8
(22/((-8448)/(-3360)))/((-5)/(-44))
77
Evaluate 2475/330*(3 + (-11)/(-3)).
50
Evaluate 220/(-108)*(-139)/(-278)*(-6 - 0) - 5.
10/9
What is -285*(-196)/(-1190) + 10/(-170)?
-47
What is the value of (-3)/(-7)*2016/64*(-748)/(-198)?
51
6/99 - (-146)/(-12045)*-1975
24
Evaluate (-51546)/10366 + (11/22)/(-1*(-1)/10).
2/73
What is (-28)/4*(-18 - (-20 + (-272)/(-119)))*6?
12
Evaluate 261/19 - ((-411)/(-27) + 40/(-180)).
-24/19
What is the value of -4*(-25256)/(-2706)*24/(-7)?
128
What is 180/(-33)*(34
|
{
"pile_set_name": "DM Mathematics"
}
|
0 for c.
2
Solve -28*f = 48*f + 684 for f.
-9
Solve -35*h + 30*h + 30 = 0 for h.
6
Solve 0 = -28*d + 89 + 51 for d.
5
Solve 37*m - 39*m = -2 for m.
1
Solve -873*q = -892*q + 133 for q.
7
Solve -18*b - 81 - 9 = 0 for b.
-5
Solve -4*x + 1661 = 1693 for x.
-8
Solve -313*f = -286*f - 189 for f.
7
Solve 7*p - 26 + 5 = 0 for p.
3
Solve -876*w + 6 = -873*w for w.
2
Solve 68 = 214*f - 231*f for f.
-4
Solve 0 = f - 7*f + 12 for f.
2
Solve -92*w + 160 - 436 = 0 for w.
-3
Solve 56 = -526*x + 518*x for x.
-7
Solve 0 = -15*o - 7*o - 44 for o.
-2
Solve 80 = -22*b - 8 for b.
-4
Solve -8*v + 28 = 4 for v.
3
Solve 79*n + 396 = 13*n for n.
-6
Solve -66*v = -74*v - 48 for v.
-6
Solve 0 = 50*m - 158 - 142 for m.
6
Solve -86*w + 77*w + 27 = 0 for w.
3
Solve 87 = -45*w - 138 for w.
-5
Solve 0 = 16*o - 7 - 73 for o.
5
Solve -6*k - 23 = -5 for k.
-3
Solve 0 = -4*s + 40 - 20 for s.
5
Solve 12*t + 74 = 14 for t.
-5
Solve -a - 152 + 154 = 0 for a.
2
Solve 62*r + 55 = 51*r for r.
-5
Solve -8*t = 3*t + 33 for t.
-3
Solve 71*a - 15 = 76*a for a.
-3
Solve -302 = 23*q - 118 for q.
-8
Solve -134*r = -96*r + 76 for r.
-2
Solve 5*r - 8*r = 3 for r.
-1
Solve 0 = 34*p - 23*p for p.
0
Solve -38*m - 57 + 399 = 0 for m.
9
Solve 0 = 11*b - 8*b + 3 for b.
-1
Solve -6*z + 39 = 69 for z.
-5
Solve -8*k + 231 = 287 for k.
-7
Solve -2*s - s = 0 for s.
0
Solve 16*c - 10*c = -77*c for c.
0
Solve -14*l + 561 = 505 for l.
4
Solve -3*x - 1 - 2 = 0 for x.
-1
Solve 21*w + 90 - 27 = 0 for w.
-3
Solve 25 = -471*g + 466*g for g.
-5
Solve 172*p + 134 = 105*p for p.
-2
Solve 43*v - 41*v - 8 = 0 for v.
4
Solve -108 = 24*c - 6*c for c.
-6
Solve 0 = 5*m + 26 + 4 for m.
-6
Solve -441 + 435 = 3*i for i.
-2
Solve 15*y - 1 = 14*y for y.
1
Solve -16*d + 42*d - 104 = 0 for d.
4
Solve -7*b - 6 = -b for b.
-1
Solve 0 = -7*f - 10 + 3 for f.
-1
Solve -65 = 15*g - 140 for g.
5
Solve -98*f - 78 = -72*f for f.
-3
Solve -129 = -5*o - 89 for o.
8
Solve -59*s - 300 - 54 = 0 for s.
-6
Solve -3*f = -202 + 205 for f.
-1
Solve -25*x = -33*x - 8 for x.
-1
Solve 0 = 4*c + 8 - 20 for c.
3
Solve 0 = 4*h + 197 - 213 for h.
4
Solve -56*j + 61*j = -20 for j.
-4
Solve 0 = -2*n - 4 + 10 for n.
3
Solve -19*x = -28*x - 27 for x.
-3
Solve l = 3*l - 7*l for l.
0
Solve 18*g - 16*g - 6 = 0 for g.
3
Solve -52*o = -8 + 216 for o.
-4
Solve 15*w = 14*w - 4 for w.
-4
Solve 0 = g + 6*g - 14 for g.
2
Solve 46 = -3*i + 43 for i.
-1
Solve -25 = -x - 29 for x.
-4
Solve -9*f - 14 = -2*f for f.
-2
Solve -46*g - 83 = 101 for g.
-4
Solve 88*h = 204 + 412 for h.
7
Solve -4*m = m + 3*m for m.
0
Solve -2*v - 3*v + 25 = 0 for v.
5
Solve -376 = -7*f - 348 for f.
4
Solve 20 = -5*d - 0 for d.
-4
Solve 0 = -2*m + 1096 - 1100 for m.
-2
Solve 39 = w + 44 for w.
-5
Solve 0 = -3*i + 22*i + 152 for i.
-8
Solve -459*o = -451*o + 32 for o.
-4
Solve 0 = 4*f + 2 - 18 for f.
4
Solve 741 - 729 = -4*x for x.
-3
Solve -3 = -6*h + 9*h for h.
-1
Solve 72*v = 73*v - 6 for v.
6
Solve -11*t = -19*t + 48 for t.
6
Solve 7 = -7*a + 21 for a.
2
Solve -101*s + 94*s = 0 for s.
0
Solve 10 = -19*x + 17*x for x.
-5
Solve 22*k - 6*k = 9*k for k.
0
Solve -84 = 20*v - 164 for v.
4
Solve -16 + 17 = -n for n.
-1
Solve 77*q - 81*q = 0 for q.
0
Solve -9*u + 29 - 20 = 0 for u.
1
Solve 82 = 5*b + 77 for b.
1
Solve -2*z - 11 = -1 for z.
-5
Solve 14*z - 16 - 68 = 0 for z.
6
Solve -941 = o - 946 for o.
5
Solve 0 = 28*k + 12*k for k.
0
Solve 5*a + a = -24 for a.
-4
Solve 3*f + 5 = 14 for f.
3
Solve 0 = -94*b + 107*b - 65 for b.
5
Solve 0 = 4*v - 12*v + 24 for v.
3
Solve 0 = 3*g + 12*g - 45 for g.
3
Solve 4 - 4 = -13*r for r.
0
Solve -4*k - 4*k = 8 for k.
-1
Solve 14*t = -t - 30 for t.
-2
Solve -2*y = 18 - 14 for y.
-2
Solve 0 = 20*n - 40*n + 20 for n.
1
Solve 90 = 92*f + 274 for f.
-2
Solve 312 = 5*u + 322 for u.
-2
Solve 37*v - 10 + 121 = 0 for v.
-3
Solve -161 - 7 = 42*p for p.
-4
Solve -12*z = -15 - 33 for z.
4
Solve -4*j + 851 = 827 for j.
6
Solve -112*y - 14 = -105*y for y.
-2
Solve 1990*q - 1983*q = 14 for q.
2
Solve 6*k = 18*k - 72 for k.
6
Solve 0 = -2*i - 4*i + 24 for i.
4
Solve -3*v = 7*v - 10 for v.
1
Solve -16 + 40 = -4*s for s.
-6
Solve 29 + 9 = -19*g for g.
-2
Solve -49 = -4*q - 57 for q.
-2
Solve -75*n = -60*n + 120 for n.
-8
Solve 8*g - 20 = -4 for g.
2
Solve -277 + 394 = -13*v for v.
-9
Solve -19*o + 11*o = -8 for o.
1
Solve -32*b - 45 = 19 for b.
-2
Solve 8*u = 2*u + u for u.
0
Solve 0 = -18*u + 6*u + 36 for u.
3
Solve -16*r - 20 = -6*r for r.
-2
Solve -633 + 545 = 22*b for b.
-4
Solve 8 = 33*d - 25*d for d.
1
Solve 17*u - 2*u = 0 for u.
0
Solve 0 = 5*t - 4*t - 2 for t.
2
Solve 48*a = 61*a for a.
0
Solve 304*b - 12 = 316*b for b.
-1
Solve -17*l + 10 = -7*l for l.
1
Solve 0 = -4*g - 2 + 22 for g.
5
Solve -48*h + 59 = -325 for h.
8
Solve 0 = -32*l + 582 - 422 for l.
5
Solve -53 = -8*r - 85 for r.
-4
Solve -11 + 9 = -2*i for i.
1
Solve -7*q - 3 - 4 = 0 for q.
-1
Solve -49 = -12*b - 169 for b.
-10
Solve 23*r - 5 = 22*r for r.
5
Solve -369*o - 70 = -355*o for o.
-5
Solve -2*f - 8*f = 50 for f.
-5
Solve 109*c + 36 = 118*c for c.
4
Solve -2*b - 4*b = 36 for b.
-6
Solve -28 + 8 = -5*d for d.
4
Solve 39 - 179 = -20*l for l.
7
Solve -6 - 12 = 18*z for z.
-1
Solve 3*f = -0 - 6 for f.
-2
Solve 3*a = -6*a for a.
0
Solve 0 = 223*q - 214*q for q.
0
Solve 11*h - h + 30 = 0 for h.
-3
Solve 100*j = 111*j + 77 for j.
-7
Solve -8*l + 13*l = 5 for l.
1
Solve 22 = 15*d - 38 for d.
4
Solve -8*c + 3*c = -25 for c.
5
Solve 25 = 6*m + 55 for m.
-5
Solve 0*a + 11*a = -55 for a.
-5
Solve 53*c = 61*c + 16 for c.
-2
Solve -22 + 70 = 6*x for x.
8
Solve 5*x - 2*x + 12 = 0 for x.
-4
Solve -11*p = -8*p for p.
0
Solve 3*z + 433 - 418 = 0 for z.
-5
Solve 0 = 6*d - 8*d + 10 for d.
5
Solve -5*u = 4 + 16 for u.
-4
Solve 0 = 5*v - 27 + 47 for v.
-4
Solve 3*v + 31 - 22 = 0 for v.
-3
Solve -69*k + 60*k + 18 = 0 for k.
2
Solve 2 = -5*g + 12 for g.
2
Solve 0 = -z - 88 + 92 for z.
4
Solve -288*w + 282*w = 12 for w.
-2
Solve -26*s + 20 = -16*s for s.
2
Solve -27*n = -28*n for n.
0
Solve 0 = -56*y + 24 + 88 for y.
2
Solve 7*a = -35 - 7 for a.
-6
Solve -29*z = -31*z + 8 for z.
4
Solve 6*k - 7*k = -11*k for k.
0
Solve -21*u = -26*u + 5 for u.
1
Solve 17 - 17 = -5*y for y.
0
Solve -2*w - 3 = w for w.
-1
Solve 163*t = 157*t - 24 for t.
-4
Solve 19 - 74 = 11*v for v.
-5
Solve 0 = 28*h - 35*h - 14 for h.
-2
Solve -t = -0*t - 4*t for t.
0
Solve -5 + 21 = 16*q for q.
1
Solve 117*l - 105 = 132*l for l.
-7
Solve 4*r - 134 = -114 for r.
5
Solve -13*m + 10*m = -12 for m.
4
Solve 0 = 2*r + 22 - 16 for r.
-3
Solve 30*h - 27 + 57 = 0 for h.
-1
Solve -105 = -8*k - 13*k for k.
5
Solve -2 = -3*y - 8 for y.
-2
Solve 34*f - 19*f = -75 for f.
-5
Solve 0 = 17*r + 281 - 332 for r.
3
Solve 4*z - 17 = -13 for z.
1
Solve -1988*w + 1995*w = 14 for w.
2
Solve 5*j - 7*j - 6 = 0 for j.
-3
Solve 6*n - 43 + 19 = 0 for n.
4
Solve 3*t - 12 + 27 = 0 for t.
-5
Solve -54*l + 73 = -143 for l.
4
Solve 0 = 42*s - 40*s + 12 for s.
-6
Solve 36 = -31*p + 25*p for p.
-6
Solve -59*z + 5 = -60*z for z.
-5
Solve -37*t - 10 = -39*t for t.
5
Solve -3*g - 12 - 6 = 0 for g.
-6
Solve 11 = 27*p + 200 for p.
-7
Solve 112 = -758*v + 730*v for v.
-4
Solve 33*i = -28*i + 366 for i.
6
Solve 62 = -97*t + 35*t for t.
-1
Solve -4*i - 10 - 6 = 0 for i.
-4
Solve 7*h + 21 = 35 for h.
2
Solve -63 = -11*t - 10*t for t.
3
Solve 66 - 45 = -7*c for c.
-3
Solve 25 = -5*x - 0 for x.
-5
Solve 18 = 14*q + 4 for q.
1
Solve -79*q - 26*q + 420 = 0 for q.
4
Solve -4 = 113*l - 112*l for l.
-4
Solve 0 = 7*h + 21 - 7 for h.
-2
Solve -255*a = -257*a - 10 for a.
-5
Solve 0 = 52*c - 126 - 186 for c.
6
Solve 3*t - 14 = 17*t for t.
-1
Solve 5 = -44*s + 39*s for s.
-1
Solve 23*o + 316 = -135*o for o.
-2
Solve 367*o - 363*o - 16 = 0 for o.
4
Solve 0 = 9*o + 27 - 63 for o.
4
Solve -29*s = -31*s for s.
0
Solve 14*y = 9*y + 25 for y.
5
Solve -89 = w - 88 for w.
-1
Solve 0 = -12*s - 78*s - 180 for s.
-2
Solve 119*r = 14 - 14 for r.
0
Solve 14*w + 25 - 53 = 0 for w.
2
Solve 19*h - 10 = 21*h for h.
-5
Solve 0 = 174*p - 44*p - 1040 for p.
8
Solve 10*s - 314 = -354 for s.
-4
Solve -5 = -6*v + 19 for v.
4
Solve -1355*f + 76 = -1374*f for f.
-4
Solve -3594 = 13*c - 3555 for c.
-3
Solve 12*g = -28*g + 200 for g.
5
Solve -29*c + 32 + 171 = 0 for c.
7
Solve -53 = 36*g + 91 for g.
-4
Solve 0 = 26*k - 41 - 63 for k.
4
Solv
|
{
"pile_set_name": "DM Mathematics"
}
|
3474803 and -35.
236543474768
Total of -35222.08 and -94262115.
-94297337.08
Work out -1582319 - -0.1654926.
-1582318.8345074
Calculate 5 - -217.13038517262.
222.13038517262
What is the distance between -254927 and -26183772?
25928845
What is -0.04304 - 460156528.8?
-460156528.84304
Add -538076233 and 3554.
-538072679
-19092072957 - 3.8
-19092072960.8
-2058579 + 4257060
2198481
Subtract -221843478339 from -0.2.
221843478338.8
What is 345336.8 take away -64.947?
345401.747
Calculate -2449064492 - -120805.
-2448943687
Add -53983 and -12.587177.
-53995.587177
What is 161923 - -15201525?
15363448
What is 3265.36259793 less than 573?
-2692.36259793
What is -74579736.8 minus -1.15?
-74579735.65
-10022.278+70023422
70013399.722
What is the distance between -0.558556334 and 0.1?
0.658556334
What is 41897563752 less than -2.2?
-41897563754.2
Calculate 235.54 - 7932874818.
-7932874582.46
What is -19830108.4 plus -53.6?
-19830162
Add 0 and 243295160409.
243295160409
Calculate 89 + -225.464392238.
-136.464392238
What is 7707565585463 plus -2?
7707565585461
1104587+0.25394
1104587.25394
What is the difference between -4362694 and -1039797?
3322897
Work out -2225745 + -153.57966.
-2225898.57966
Calculate 68664525984936 + 0.04.
68664525984936.04
Subtract 13.04893408149 from -1.
-14.04893408149
Add together 2.43 and -0.053351580283.
2.376648419717
293080 - 109567
183513
-7.95173193837 - 0.3
-8.25173193837
Subtract -13970098310 from -355.
13970097955
What is 5613970029157 take away 0.4?
5613970029156.6
Work out -1742719.336 - -2.
-1742717.336
Calculate -513620699328 - 0.2.
-513620699328.2
What is 660197859540 take away -88?
660197859628
Sum -0.117 and 9823991386.
9823991385.883
What is 1480 less than -0.43120201?
-1480.43120201
136659316 - -46760
136706076
What is 317 - 756663.0678?
-756346.0678
What is -9.473741168 - 9305?
-9314.473741168
Add together 6067344449 and 3.9.
6067344452.9
Calculate 1.401 - 5651042109.2.
-5651042107.799
What is -965959.94 - 0.13597?
-965960.07597
28271400 + 32.801
28271432.801
What is 12133181.2 - 48456?
12084725.2
Subtract 11015 from 30093931.
30082916
What is 9116567804 + -6?
9116567798
Put together 11 and -69587054692.
-69587054681
What is 256107272 + -224.3525?
256107047.6475
What is -398 take away 1585622850?
-1585623248
-11403.39 - 1906198.4
-1917601.79
What is -0.3510413 minus 2728605?
-2728605.3510413
Subtract 128491 from -30053.06.
-158544.06
Add together -2704 and -42952233.5.
-42954937.5
What is -621.40871286 minus 0.31?
-621.71871286
What is the difference between 5 and 195539.212389?
195534.212389
Add together -143406171240887 and -0.4.
-143406171240887.4
Put together 0.0409758 and 421123.
421123.0409758
Total of 12951 and -4499392.36.
-4486441.36
What is -52 - -850670979061?
850670979009
Sum -0.2 and 2457622096984.
2457622096983.8
Add -20812 and 0.4540147337.
-20811.5459852663
Put together -24190 and 7160437.
7136247
What is 46791186 minus -6837.46?
46798023.46
Work out -16461856566 - -4.
-16461856562
Total of 0.4 and 22378815692.
22378815692.4
What is -0.0466860239481214 + 2?
1.9533139760518786
What is -45740899.4 minus -0.07148?
-45740899.32852
-891030 + -143.92006
-891173.92006
Work out -251409339 - 1514892.
-252924231
What is 4530.56 less than -7.870137?
-4538.430137
Sum -3 and -6108063544233.
-6108063544236
Add -526.3 and 369565637.
369565110.7
Work out -16859 - -0.96609213.
-16858.03390787
Add together -0.025365579 and 9.6025.
9.577134421
Add together -0.3 and -162150933.7184.
-162150934.0184
What is -130233 take away -124155?
-6078
What is the distance between -4386524941 and 0.11?
4386524941.11
Add together 55289504 and -176.
55289328
What is -1948 less than -78440273?
-78438325
Calculate 23991488975291 - -0.2.
23991488975291.2
Put together 4669122800 and 0.06479.
4669122800.06479
What is 7848.8 minus 862042672?
-862034823.2
What is the distance between -561 and -7326491957?
7326491396
Subtract -17 from -7675760917339.
-7675760917322
Total of 396733 and 0.082054.
396733.082054
Work out 12.8745 + 3.0292818.
15.9037818
-339302018783+-0.1
-339302018783.1
What is -0.1475 - -102411094526?
102411094525.8525
Calculate 345.4 + 22775.84079.
23121.24079
-166366893+0.5385
-166366892.4615
What is -116.456896 minus 242.33?
-358.786896
232814 + 1174.4082
233988.4082
What is 0.151817 minus 0.02536868?
0.12644832
Calculate 18429.268 + 1.582.
18430.85
What is the difference between 0.84 and 46475263870?
46475263869.16
What is 92238790373 plus 193?
92238790566
Work out 276729813646 + 3.
276729813649
12.752729662 + 67052
67064.752729662
Work out 1999 - 135539569646.
-135539567647
Add together -235.2 and -131794796.
-131795031.2
Work out -359041150 + 12.
-359041138
Put together 37726575714567 and 0.3.
37726575714567.3
Work out 214842871 - 246491.
214596380
What is the distance between 16443 and -6387075912?
6387092355
2023 + 22060.3614
24083.3614
5.7448477+-12741.96
-12736.2151523
Total of 0.221761 and -5495260.
-5495259.778239
What is the difference between -0.3 and -1548.3585181162?
1548.0585181162
Work out -740.355 + -607737418.
-607738158.355
What is the distance between 0.1815507 and 570031?
570030.8184493
What is -12.19 plus -22032610962?
-22032610974.19
Work out -2006 - 320.924625.
-2326.924625
Work out 3138050 + -22420503.
-19282453
Work out -1937 - 2044384193.
-2044386130
What is the distance between 73830.8 and 25832025?
25758194.2
-11571897.97 - 0.152
-11571898.122
-0.0315838 - 0.01953666
-0.05112046
Calculate 65.997872 - 242489.
-242423.002128
What is 0.151 + 2590806.12506?
2590806.27606
Subtract 31334 from -1881594.
-1912928
Sum -3626 and 11081724.205.
11078098.205
4+-49920.155962
-49916.155962
Work out -55673064 - -24398.
-55648666
-25713427880+40
-25713427840
What is -6 - -939891673969?
939891673963
What is 34 plus 29062781298914?
29062781298948
-110.41 + -100269.98
-100380.39
Calculate -121342 + 0.060058547.
-121341.939941453
Put together 2 and -50.00479872242.
-48.00479872242
Add together 0.138727119 and 0.060704.
0.199431119
Add together 1029298.516 and -1.514.
1029297.002
Calculate 23019.68737 + -821.
22198.68737
What is 0.12312421934 - 50.9?
-50.77687578066
Subtract 870569 from -325293.
-1195862
Subtract -943545614 from -126.
943545488
Work out -4.509 - -50696241267.
50696241262.491
Put together 3129834 and -11.75.
3129822.25
-11979604740538+14
-11979604740524
161 - 658954855
-658954694
Add 114920.96 and -2232430.
-2117509.04
11355.7+-433631.3053
-422275.6053
Put together 3668.5991 and -615.
3053.5991
What is 1.63811663 less than -0.6093?
-2.24741663
Put together -0.02870233 and 537874.
537873.97129767
Work out -722.9764419302 + -9.
-731.9764419302
-1085301142095 + 11
-1085301142084
Calculate -0.083926612243 + 4.
3.916073387757
Work out -87 - 3161188.873499.
-3161275.873499
Work out 0.064460406 - -830991.
830991.064460406
Calculate 706 + -212791758781.
-212791758075
What is -4 minus 167431967553?
-167431967557
What is the distance between 1311911929 and 118?
1311911811
Total of 0.44629785838 and 0.86.
1.30629785838
What is the difference between -1442.02 and -0.24749909?
1441.77250091
What is -923578748 plus 0.37024?
-923578747.62976
What is 15874.35276952 plus 0.4?
15874.75276952
Calculate 0.7478496 - 0.04125082.
0.70659878
Put together 1.893251359 and -102.
-100.106748641
What is 0.3 take away -0.0423073234903?
0.3423073234903
Work out -0.7964 + -2508707771.
-2508707771.7964
What is -16465.5425 take away -4.2973?
-16461.2452
What is 259099770.63 + -1987?
259097783.63
What is -0.2 - 9054156.87102?
-9054157.07102
What is -8 minus -338730.8315?
338722.8315
0.1422 + -19457521144
-19457521143.8578
5 + -16142492793363
-16142492793358
What is -7.21 - -7100095928?
7100095920.79
What is the difference between 85200988287 and 51?
85200988236
What is -0.387455 plus 4261.90834?
4261.520885
What is -1467518 minus -19.24213?
-1467498.75787
Calculate -66116 + -14896862.29.
-14962978.29
-11676.6 + 404358
392681.4
What is -1.7 + 0.00377520079?
-1.69622479921
What is -52002354 take away -1426?
-52000928
-0.097816443126 + -239
-239.097816443126
Add together -342 and 118559002765.
118559002423
Calculate 5270085.6 - 597283.
4672802.6
What is -2965464911 minus 2361?
-2965467272
Subtract -201.460029 from -575.
-373.539971
Wha
|
{
"pile_set_name": "DM Mathematics"
}
|
-2*x + x = -52. Suppose 2*z + 10 = x. Suppose 0 = -4*w + z + 11. Calculate the remainder when 38 is divided by w.
6
What is the remainder when ((-27)/(-5))/(906/1510) is divided by 1?
0
Suppose -4*c + 432 = -15*k + 19*k, -3*k = -5*c + 540. Let s(u) = -u**2 - 21*u - 29. Calculate the remainder when c is divided by s(-16).
6
Let c(w) = w**3 - 20*w**2 + 5*w - 9. Calculate the remainder when 512 is divided by c(20).
57
Let z(h) = -2*h**2 - 27*h + 138. Calculate the remainder when 152 is divided by z(-17).
0
Let m(w) be the second derivative of w**5/5 + w**4/12 + 7*w**3/6 - 27*w**2/2 - 84*w. Calculate the remainder when m(3) is divided by 38.
35
What is the remainder when ((-8)/50)/2 - (-36885)/125 is divided by 8?
7
Suppose 0 = -4*i - 4*x + x + 58, -4*x = 8. What is the remainder when 909 is divided by i?
13
Let g(z) = z**3 + z**2 + 1. Let a(f) = 2*f**3 - 5*f**2 - 20*f - 8. Let n(x) = a(x) - 3*g(x). What is the remainder when n(-7) is divided by 45?
35
Let m(h) = -402*h - 3408. What is the remainder when m(-11) is divided by 11?
2
Let u be ((-4)/(-6) + -1)/(10/60). Let f be (2 + -2)/(2 + u/2). Suppose -k + f*k + 80 = 5*x, k = 3*x - 40. Calculate the remainder when 87 is divided by x.
12
Suppose -14 = 5*y - 59. Let z(v) = v**2 + 2*v - 5. Let m be z(-3). Calculate the remainder when y is divided by ((-40)/(-25))/(m/(-10)).
1
Suppose 0 = 9*f + 81340 - 81412. What is the remainder when (-4)/14 + 410/14 is divided by f?
5
Suppose -82 = 3*j + l, j + 3*l = -18 - 20. Let v = j + 51. Calculate the remainder when 138 is divided by v/2 + 21/14.
12
Let d be 4/(-2) - (1 + 0). Let a = 46423 - 46417. What is the remainder when 82/d*(2 + -5) is divided by a?
4
Suppose 3*r - 5*r + 32 = 0. Let c = 82 - 72. What is the remainder when 1 + (285/c - 2/(-4)) is divided by r?
14
Let z = 8081 + -6777. Calculate the remainder when z is divided by 87.
86
Suppose -65 = -6*x - 683. Let a = x + 115. Calculate the remainder when 35 is divided by a.
11
Suppose -68*r = 71*r - 164*r + 34600. What is the remainder when r is divided by 688?
8
Let b(u) = 35836*u**3 - 35835*u**3 - 15 + 43 - 8*u. What is the remainder when b(6) is divided by 101?
95
What is the remainder when 15181 is divided by 5375/344 + 6/(-32)*(-6 + 4)?
13
Let l(s) = s**2 - s + 35. What is the remainder when l(15) is divided by 50?
45
Let k = 977 - 530. What is the remainder when k is divided by 90?
87
Let w be -4 - -6 - (-6)/1. Suppose -140 = -w*l + 3*l. Suppose -3*p - 7*s + 82 = 0, -13*p - 20 = -18*p + 5*s. Calculate the remainder when l is divided by p.
6
Let g = 18709 + -15866. What is the remainder when g is divided by 931?
50
Let n = -240852 - -240897. Suppose -3*s = 2*s - 1105. What is the remainder when s is divided by n?
41
Let h(f) be the third derivative of -7*f**4/24 + 43*f**3/6 - 141*f**2. Calculate the remainder when 71 is divided by h(4).
11
Suppose 3*a - 6*a = 5*q - 1096, 0 = 2*q - a - 434. Suppose 4*m - q = -3*t - 24, 58 = m - 4*t. Calculate the remainder when m is divided by 18.
14
Let m = 242 + -193. Suppose 54*j = m*j + 95. What is the remainder when 130 is divided by j?
16
Let b(f) = f**2 - 2*f + 16. Let s be 30/8 + 10/8. What is the remainder when 59 is divided by b(s)?
28
Let r(b) = 172 + 46*b - 74 + 7*b**2 - 81. What is the remainder when r(-8) is divided by 11?
9
Suppose 0 = -s - 5*w - 9, -5*w - 17 = 4*s - s. Let v be (1 + 2)/((-6)/s). Calculate the remainder when -5 + v + -3 + (-96)/(-2) is divided by 11.
9
Let y(q) = q - 31. Let f(b) = 1. Let s(t) = -4*f(t) - y(t). Calculate the remainder when 76 is divided by s(7).
16
Let p be -5 + 6 + 5/(-5). Suppose p*b - 3*b - 1357 = -5*s, -4*s - 4*b = -1060. What is the remainder when s is divided by 45?
44
What is the remainder when 1573 is divided by (795/20 + 6)*(-28)/(-21)?
48
Suppose -s + 4*s + 573 = 0. Let h = -423 - s. What is the remainder when 109 is divided by 108/(-162) + (-1 - h/6)?
35
Suppose -9*d + 7235 + 127 = 0. What is the remainder when d is divided by 21?
20
Let y(i) = -2074*i - 12643. What is the remainder when y(-13) is divided by 80?
79
Suppose -2*f - i = -252, f - 119 = 2*i + i. Suppose -22*t + 21*t = -3*b + 86, 0 = -5*b - 2*t + f. Calculate the remainder when 296 is divided by b.
26
Let o = 107 + -261. Let z = o - -207. Calculate the remainder when z is divided by 27.
26
Suppose 2051 - 583 + 1268 = 171*a. Calculate the remainder when 5163 is divided by a.
11
Let d be 6*12*(-1 - 0). Suppose -7*n - 503 = -195. Let z = n - d. What is the remainder when 110 is divided by z?
26
Suppose -143*m + 415918 = -42*m. Calculate the remainder when m is divided by 13.
10
Let l = 349 + -205. Let j = l - 86. Suppose -m = -o - 0*m + 19, 3*o + 5*m = 73. Calculate the remainder when j is divided by o.
16
Let o(j) = -j**2 + 19*j - 35. Let l(t) = 4*t**2 + 21*t - 4. Let c be l(-6). Let y(k) = -4*k - 7. Calculate the remainder when o(c) is divided by y(-5).
9
Let i(q) = q**2 + 15*q - 1503. What is the remainder when i(34) is divided by 108?
55
Let i(j) = 9*j + 27. Let a be i(-3). Suppose 5*g + 146 = 3*q - 696, 5*g - 25 = a. Let d = -178 + q. Calculate the remainder when d is divided by 16.
15
Let w be 2/(-3) - 700/(-42). Suppose w = 4*y - 36. Calculate the remainder when y is divided by 9.
4
Let o(y) = -25*y - 70. Let r(v) = -2*v - 2. Let c(j) = -2*o(j) + 30*r(j). Calculate the remainder when 172 is divided by c(6).
12
Let s be 20*-2*4/(-8). Suppose -s = -4*o + 44. Suppose 6*r = 677 + 73. Calculate the remainder when r is divided by o.
13
Suppose -11*k - 150 = -8*k. Let l = -93 + 66. Let d = l - k. What is the remainder when d is divided by 12?
11
Let a = -17136 - -17169. What is the remainder when 6136 is divided by a?
31
Let a(i) = -i**3 - 11*i**2 - 5*i - 53. Let n be a(-11). Let p = 17 + 5. What is the remainder when ((-654)/(-42))/((n/(-2))/(-7)) is divided by p?
21
Suppose -2*p + 489 = h, 32*p + 2*h - 484 = 30*p. Suppose 3*o - 385 + p = 0. What is the remainder when 177 is divided by o?
39
Let i = 1 + 11. Let g = -54 - -72. Suppose -2*m + 74 = -g. What is the remainder when m is divided by i?
10
Suppose -n - 40 = -5*k, -4*n - 4*k - 12 - 124 = 0. Let z = n + 39. Suppose 2*p - 1 = 3*p + z*j, 53 = 4*p - 3*j. What is the remainder when 32 is divided by p?
10
Suppose 0 = -46*h + 20*h + 11596. What is the remainder when h is divided by 51?
38
Suppose 0 = -3672*z + 3677*z - 105. Calculate the remainder when 260 is divided by z.
8
Let a = 1361 + -1338. Suppose -z - 3*i = -62, 5*i = -0*z + 3*z - 144. Calculate the remainder when z is divided by a.
7
Let z = -173 + 161. What is the remainder when (-2 + (-6)/z)/(1/(-8)) is divided by 4?
0
Calculate the remainder when 586 is divided by (-135)/(4*12/(-32)).
46
Calculate the remainder when (-33)/(-22)*1/((-6)/(-1988)) is divided by 242.
13
Let b(r) = r**3 - 6*r**2 + 13*r - 5. Let j = 486 + -481. What is the remainder when b(j) is divided by 13?
9
Suppose 3*o - 13 = 932. Suppose 5*j + 3*g = 526, -3*j + 7*g + o = 9*g. What is the remainder when j is divided by 10?
7
Let h = 50 - -53. Let p(o) = -2*o**3 - 173*o**2 - 91*o + 185. What is the remainder when p(-86) is divided by h?
100
Suppose 5*t = o - 256, 2*o + 2*t - 33 = 443. Let m(s) = -s**3 - 35*s**2 + s + 62. What is the remainder when o is divided by m(-35)?
25
Suppose -5*p - 5*r + 15 = 0, -5*p - 4*r + 17 = 2. Let x be 1*p/(3/10). What is the remainder when 1142/x + (-4)/20 is divided by 29?
27
Let j(f) = -f**2 + 7*f - 3. Let o be j(6). Let c(w) = -5301*w + 10*w**2 - 3 + 2652*w - 1 + 2650*w. What is the remainder when c(o) is divided by 31?
27
Calculate the remainder when 2246 is divided by (-6 + (-900)/54)/(2/(-66)).
2
Suppose 3*y + 5*f = 342, 2*y + 2*y = f + 433. Let h = 249 + -173. Let v = y - h. Calculate the remainder when 96 is divided by v.
30
Suppose 0 = 2*x + 23 - 9. Calculate the remainder when 9 is divided by (-1)/((-2 - x/4)*2).
1
Suppose 14163 = -30*k + 106473. Calculate the remainder when k is divided by 54.
53
Suppose -3*v + 44 = -2*o - 13, 3*v + o - 66 = 0. Suppose -5*f = -2*t - 3341, 4*t + 23 - 11 = 0. Let s = -563 + f. What is the remainder when s is divided by v?
20
Let f be 64/34 - 42/(-357). Let y(h) = 11*h**2 - 11*h + 23. What is the remainder when 134 is divided by y(f)?
44
Suppose 12 = -3*q, -4*t + 190 = -3*q + 126. Let k(d) = 4*
|
{
"pile_set_name": "DM Mathematics"
}
|
(-192)
Simplify h**(-7)/(h*h**(-5))*h**8*h*h*h/(h*h/((h*h**(-19))/h)) assuming h is positive.
h**(-13)
Simplify (a**(3/8)*a)**(-1/31)*(a/(a*((a*a**(7/6)/a*a)/a)/a*a)*a)/a**33 assuming a is positive.
a**(-24709/744)
Simplify (v/(v*v*(v/v**(-2))/v))**(30/13)/(((v/v**0*v)/v)/v)**(-7/10) assuming v is positive.
v**(-90/13)
Simplify ((a**(-12)*a)**6)**(-38) assuming a is positive.
a**2508
Simplify (y*y*y*y**(-1/48)*y*y**(-24))**(-30) assuming y is positive.
y**(4805/8)
Simplify (q*q**11)/q*q*q**7*q*(q**(-6/5)/q)/q*q*q**(-5) assuming q is positive.
q**(64/5)
Simplify (v/(v*v**(1/4)*v*v))**(-2/47)/(v**(3/5))**1 assuming v is positive.
v**(-237/470)
Simplify (d*d**(-4)*d*d/(d**(-12)/d))/(d**(-9)/d**(-6)) assuming d is positive.
d**15
Simplify (r*r**(17/3)*r*r**8)/(r/r**(-10))**10 assuming r is positive.
r**(-283/3)
Simplify (v*v**(2/7))**(-3/50)*v**(-1/4)/v**(-2) assuming v is positive.
v**(1171/700)
Simplify (t**(-29)/t*t**(-34)/t)/(t**(-3/5))**15 assuming t is positive.
t**(-56)
Simplify l**19/((l/(l/(l*l**(-4))))/l)*(l/(l*l**(17/3)))/((l*l*(l**5*l)/l*l)/l) assuming l is positive.
l**(31/3)
Simplify ((o**(-3))**(-22))**(1/11) assuming o is positive.
o**6
Simplify (t*t**(-1/16))**(-3)/(t**(-5/8)/t)**1 assuming t is positive.
t**(-19/16)
Simplify (p**(-8)/((p**(-11)*p)/p))/((p*p**(-15)*p)/p*p**(-4)) assuming p is positive.
p**21
Simplify ((x**(3/10)/((x*x/x**(-1))/x))**(-44))**(2/35) assuming x is positive.
x**(748/175)
Simplify u**(-8)/(u*(u/(u**(-6)*u))/u)*(u*u/(u/u**8))/u*u**(-10) assuming u is positive.
u**(-16)
Simplify ((h**0*h/(h/(h/((h*h**(-3))/h))))/(h**3*h*h**(2/15)))**(-2) assuming h is positive.
h**(4/15)
Simplify r**9/(r*r**(2/9))*(r/(r*r*r**(-2/3)*r*r))**(-5/8) assuming r is positive.
r**(665/72)
Simplify b**23*(b/(b*b**(-2/71)))/b*(b**(-1/10))**(4/31) assuming b is positive.
b**(242278/11005)
Simplify y**(-10)*y*y/((y*y**(-5))/y)*((y/(y**4/y))/y)/y*y/y**(-1) assuming y is positive.
y**(-5)
Simplify (o*((o*o/(o*o**3*o))/o)/o*o*o*o**(3/2)*(o/(o*o**(1/5)*o))**(-1))**26 assuming o is positive.
o**(91/5)
Simplify (h/(h/h**(-2)))**32/(h/(h**3*h)*h*h**8) assuming h is positive.
h**(-70)
Simplify (k*k**11)**35*(k*k**(-23))/(k*k**(3/7)) assuming k is positive.
k**(2776/7)
Simplify (f**(-6)/((f**(2/29)*f)/f))/((f/f**(1/3))/(f/f**(-2/5))) assuming f is positive.
f**(-2321/435)
Simplify (q**(-1/7)/(q*q**(-6/11)/q*q))/(q**7)**(-43) assuming q is positive.
q**(23131/77)
Simplify ((k/((k*k*k**(-7/2))/k))/(k/(k**(-12/7)*k)))/(k/k**(2/3)*(k/(k*k**(2/11)*k)*k)/k) assuming k is positive.
k**(1217/462)
Simplify (h*h**(-9)/h)/(h**(-17)/h)*(h/(h/(h/(h**(-1/5)*h))))**(2/29) assuming h is positive.
h**(1307/145)
Simplify (g**(-1/3))**(-8/5)*g**(2/9)*g**10 assuming g is positive.
g**(484/45)
Simplify ((r*r**(-5))/r*r)**(-4/17)/(r**(-4)*r)**(-7/3) assuming r is positive.
r**(-103/17)
Simplify ((h**(-3/10)/h)/h**(-5/3))/((h**(4/7)*h)/h*h*h*h)**(-21/5) assuming h is positive.
h**(461/30)
Simplify ((w**(-27)/w)/(w/(w*w**27)))**(-3/28) assuming w is positive.
w**(3/28)
Simplify p**(-2)/p**(1/3)*p/(p*p*p**(-5/7))*p**(-4) assuming p is positive.
p**(-139/21)
Simplify (g**(1/10)*g)/(g**(-3/16)*g)*g**2/(g**(-1/7)/g) assuming g is positive.
g**(1921/560)
Simplify ((j**(-7)*j)**(-31))**(-3/11) assuming j is positive.
j**(-558/11)
Simplify ((j**(-3/5)*(j**(-3)/j)/j)/(j**5/j**(-1/5)))**47 assuming j is positive.
j**(-2538/5)
Simplify ((((y**(-10)/y)/y*y)/y)/y)/(y**(-4/5)/y)*y**6/((y*(y*(y/y**(1/3))/y)/y)/y) assuming y is positive.
y**(-73/15)
Simplify (b**14)**21*b**(-26)/b**(-1/4) assuming b is positive.
b**(1073/4)
Simplify (p**(-5)/p)**(-14)/(((p*p/p**(-5/3)*p)/p)/(p/(p*p**(-12/11)/p))) assuming p is positive.
p**(2720/33)
Simplify ((((j**(-2/15)*j)/j)/(j**(5/2)*j))/(j/j**(-2))**42)**49 assuming j is positive.
j**(-190561/30)
Simplify (((h**4)**(6/7))**(-4/5))**(-9/11) assuming h is positive.
h**(864/385)
Simplify o**0/o*(o/(o**(-4/3)*o)*o)/o*(o/o**(-3/7))/(o*o**(3/2)*o*o) assuming o is positive.
o**(-115/42)
Simplify (q**(-23)*q*q/q**(-2/39)*q)**(-14/9) assuming q is positive.
q**(10892/351)
Simplify q**(-3/13)/q**(-6)*q*q*q*q/(q/((q*q**(-20)*q)/q))*q**(-13) assuming q is positive.
q**(-302/13)
Simplify k*k**28*k**(-8)*(k/(((k*k**(-14)*k)/k)/k))/k**(-26) assuming k is positive.
k**62
Simplify (((c**(-1/4))**2)**(4/33))**48 assuming c is positive.
c**(-32/11)
Simplify (y**(2/57)/y)/(y/((y*y**(-5/4)*y)/y))*(y**(-22)*y)**38 assuming y is positive.
y**(-182449/228)
Simplify ((r*r**(2/67))/r)/(r/r**(2/9))*r/(r*r**(-24)*r)*r/(r/r**(-2/3)*r) assuming r is positive.
r**(12413/603)
Simplify (y**(-2))**(-14/15)/((y*y**(-1/3)/y)/y**14) assuming y is positive.
y**(81/5)
Simplify (((k/(k*k*k**(-12)*k*k))/k)/k)**1/((k/(k/(k**1*k*k)*k))/k*k*k*k*k)**(-7/5) assuming k is positive.
k**14
Simplify n**(-7)/n**12*(n**(5/2)/n)**(-1/10) assuming n is positive.
n**(-383/20)
Simplify (s**(8/11)/(s**(-15)*s))**(-2/49) assuming s is positive.
s**(-324/539)
Simplify (((k*k**0*k)**2)**26)**(3/7) assuming k is positive.
k**(312/7)
Simplify (u**(2/29)*u)/u*u**2*(u/u**(-2/5))**(-43) assuming u is positive.
u**(-8429/145)
Simplify ((w**(11/4)*w)/(((w/(((w*w**(3/7)*w)/w)/w)*w)/w)/w))/(w**(-5)*w*w*(w/w**(1/23))/w*w*w) assuming w is positive.
w**(3363/644)
Simplify (q**(-2/3))**(-45)*(q/((q*q*q**5)/q))/(q/(q*q*q**(-4/5))) assuming q is positive.
q**(126/5)
Simplify (u**4*u*u**(-4)/u*u**(-1/4)/((u*u*(((u**1/u*u)/u)/u)/u)/u))**(-11) assuming u is positive.
u**(-33/4)
Simplify (p*p**(-1/4)*p**(-15))/(p/(p*p**1))**(4/11) assuming p is positive.
p**(-611/44)
Simplify (d**(2/13)*d**21)/(d**(-2/3)*d*(d/d**(2/47))/d*d*d*d) assuming d is positive.
d**(32743/1833)
Simplify (((g*g*g**(-2/5)/g*g)/g)/((g/((g*g/(g*(g*g**8)/g))/g))/g))/(g**(-2/17)*g/g**(-3/4)) assuming g is positive.
g**(-3071/340)
Simplify ((j**(-2)/j**1)/(j**(-1/3)/(j*j**5)))**3 assuming j is positive.
j**10
Simplify (j*j/(j*j**7*j)*j*(j/j**(1/13))/j*j*j**(2/5)/(j/(j**(-4/9)/j)))**30 assuming j is positive.
j**(-8332/39)
Simplify (w/w**(1/31))/w**(6/5)*w**20*w**(1/15) assuming w is positive.
w**(9223/465)
Simplify ((o*o/o**(-1/16))/o**(-32))**(34/3) assuming o is positive.
o**(9265/24)
Simplify ((h*h*h**(-2/51))/(h/h**(1/4)))/(h**14/(h/(h/(h**(-3/2)/h)))) assuming h is positive.
h**(-3119/204)
Simplify (j/j**(-13))**37*(j*(j*j/(j/j**(-17)*j)*j)/j*j)/(j/((j*j*j*j**5*j)/j)) assuming j is positive.
j**510
Simplify ((x**(-1/2)*x*x/(x**(-10)*x*x))**(-3/7))**(-9/5) assuming x is positive.
x**(513/70)
Simplify ((q**2/(q**(-6/11)*q))**(1/25))**(4/5) assuming q is positive.
q**(68/1375)
Simplify s/(s*s*s**(-2)*s)*(s*s**(2/9))/s*s*((s*s**(-6))/s)**(-38) assuming s is positive.
s**(2063/9)
Simplify ((z*z**(9/4)/z*z/z**(-1/5))**(2/11))**(-3/8) assuming z is positive.
z**(-207/880)
Simplify (q**(-14/5)/(q/(q/(((q**(1/11)/q)/q)/q))))**(-2) assuming q is positive.
q**(-12/55)
Simplify ((d/((d/(d**(-7)/d))/d))/((d/d**(2/13))/d)*d*d**(-3)*d*d*d*d**0)**(-2) assuming d is positive.
d**(152/13)
Simplify (z**25*z**16*z)/(((z/z**(-11/2))/z)/z**(4/3)) assuming z is positive.
z**(227/6)
Simplify (h**(-1/23)*h)/((h**(2/25)*h*h*h)/h*h)*(h/(h*h/(h/((((h**(-1/11)*h*h*h)/h)/h)/h))))/(h*h**(-26)) assuming h is positive.
h**(145269/6325)
Simplify (k**(4/3)*k**(1/4))**(-11) assuming k is positive.
k**(-209/12)
Simplify (v/(v/(v/v**(-5))))**43/(((v**8*v)/v)/v*v*v*((v/(v**11*v))/v)/v) assuming v is positive.
v**262
Simplify (((b/(b*b/((b**(2/7)/b)/b))*b)/b*(b*(b/(b/(b/b**(-1/8))))/b*b*b)/b)/(b**(1/4))**(-13/5))**(-26/7) assuming b is positive.
b**(-221/980)
Simplify (l**(-1))**(-49)*(l**(5/4))**21 assuming l is positive.
l**(301/4)
Simplify ((b/(b/b**1))**10/(b*b**(1/14)*b*b*b/(b*(b**(-2/41)/b)/b)))**(38/3) assuming b is positive.
b**(53219/861)
Simplify (j**(-5)/j**(-10))/(j**(1/3)/j**17) assuming j is positive.
j**(65/3)
Simplify ((v/v**(-5)*v)/v)/(v/(v*(v*v*v*v/(v/(v**(-1/7)/v)))/v*v))*(v/(v*v/(v*v*v**(-2))))**(-3/7) assuming v is positive.
v**(58/7)
Simplify (t/(t**(-2/5)/t))**25/((t/(t/(t*t**(2/5))))/(t/t**(-2/43))) assuming t is positive.
t**(12824/215)
Simplify ((c*c**(-1)/c)**9*c**(-1/14)*c**(-2)/c)**(-10/3) assuming c is positive.
c**(845/21)
Simplify ((t**(-23)/t)/t*t*t**(-16))/(t*t**(-27)*t*(t*t*t**(-9))/t*t) assuming t is positive.
t**(-8)
Simplify (w*w**(1/5))/(w*w*w
|
{
"pile_set_name": "DM Mathematics"
}
|
/(-7)*(-24)/3*-7.
-16
Calculate (2/198*-9)/(-1).
1/11
Evaluate (-12)/72*(-5)/(-5)*-30.
5
(-175)/(-70)*48/4*1
30
Calculate ((-14)/(-70))/((-11)/(-55)).
1
What is 1/(126/4)*(-6)/((-84)/98)?
2/9
What is 7541/(-15082)*(2/(-4))/(1/8)?
2
(2/2*(0/13)/7)/(-4)
0
(11/((-792)/60))/((-3)/(-4)*-5)
2/9
What is the value of (9/(-486)*-9)/(6*(-2)/(-80))?
10/9
Evaluate 3*2*49/(2254/(-115)).
-15
Evaluate (-3)/13*11/6*(-1928)/(-5302).
-2/13
Calculate 13/(1820/460)*-7.
-23
(44/(-10))/((-140)/350)
11
((15/(-50))/((-128)/(-240)))/(15/140)
-21/4
Evaluate 30*((-4)/(-15))/(48/(-144)).
-24
Evaluate 2016/528*(-2)/(-7).
12/11
165/(-132)*3/(-6)
5/8
What is (-21)/(504/(-32))*12/32?
1/2
(228/(-19))/(((-726)/(-3))/11)
-6/11
Calculate ((-26)/(-3)*57/190)/((-2)/5).
-13/2
(202/(-303))/(2*8/(-3))
1/8
What is the value of (28/231*1)/((-3)/9)?
-4/11
Evaluate (-6*(-6)/(-45))/(49/((-245)/34)).
2/17
(-16)/(-252)*(-63)/(-54)
2/27
1*(-63)/42*-2
3
Evaluate (-1025)/123*(-9)/15.
5
Calculate (-17)/((-68)/24)*(-12)/(-6).
12
What is the value of (67/(-402))/((14/54)/7)?
-9/2
What is the value of -12*9/(-135)*10?
8
(3*(-13)/(-156))/(-1)
-1/4
What is the value of ((-41)/(-164))/(((-14)/160)/(-7))?
20
(((-6)/(-84))/((55/50)/11))/(-1)
-5/7
What is ((-81)/(-12))/(((-1242)/(-72))/23)?
9
Evaluate 66/(-77)*(-2821)/(-62).
-39
(2/(60/26))/((-386)/(-1930))
13/3
What is the value of (-1617)/63*(-24)/56?
11
Calculate (-4*(-2)/660*5)/(33/121).
2/9
Calculate ((-32)/16)/(-2)*1*-3.
-3
Calculate (-1)/10*-5*30/(-9).
-5/3
Evaluate (-3024)/324*(-36)/(-21).
-16
What is the value of ((-232)/522)/((-60)/(-54))?
-2/5
Evaluate ((-1)/3*4/2)/((-104)/(-468)).
-3
What is the value of 270/35*56/(-24)?
-18
Calculate (18/4)/(((-10152)/(-240))/(-141)).
-15
(-144)/(-120)*-1*(-10)/14
6/7
Calculate (-3)/((-6*4/48)/((-2)/(-150))).
2/25
732/(-6222)*2/4
-1/17
Calculate ((36/(-24))/(9/(-6)))/((-3)/3).
-1
30/(-25)*(-6)/(-12)
-3/5
What is 944/(-3304)*(-119)/2?
17
What is the value of ((-9)/(-126))/((-16)/64)?
-2/7
Evaluate (2/(-3))/((-26)/(-195)).
-5
What is (2/4)/(((-21)/14)/(13*3))?
-13
Evaluate ((-11)/((-4147)/(-39)))/((60/(-8))/5).
2/29
What is the value of (-1)/5*-5*190/70*7?
19
What is the value of (-54)/450*5*(-1)/1?
3/5
Evaluate (1/2)/(4*(-23)/2024).
-11
Calculate 19/(950/15)*30/3.
3
Calculate (6/(-5))/(((-48)/84)/(16/56)).
3/5
What is 1*0/(-2)*1079/4316?
0
Calculate (128/576)/((-40)/36).
-1/5
Evaluate ((-90)/(-4))/((-3695)/(-4434)).
27
Evaluate (-20*3/(-15))/((-20)/(-3)).
3/5
Calculate 38/76*12/(-3).
-2
Calculate 3/((-23)/((-322)/(-6))).
-7
What is the value of (260/182)/(9/(-63))?
-10
What is (-14)/15*18/21*20/(-64)?
1/4
(-4)/(((-132)/11)/(-36)*4)*9
-27
What is the value of (3740/30)/(-17)*9/6?
-11
Evaluate (-7)/(231/(-44))*(-6)/68.
-2/17
What is 1/(((-336)/(-35))/8)*-6?
-5
Evaluate ((-11)/(-176))/(1/(-2))*(-980)/70.
7/4
(-3)/(6/10)*56/(-1680)*18
3
What is 33/(-55)*5/93?
-1/31
(-6)/4*(-2346)/207
17
What is the value of ((-35)/(-4))/(-145*(-26)/12064)?
28
What is (-21)/(-4)*9880/(-1482)?
-35
What is the value of 1132/22640*1*-2?
-1/10
Calculate ((-12)/9*22/(-88))/((-38)/2850).
-25
Evaluate ((-17690)/(-191052))/((-5)/12).
-2/9
Evaluate (-7)/2*2/5.
-7/5
What is the value of (-42)/(-7)*(-7)/(-28)?
3/2
What is 49/14*1*(-6)/(-9)?
7/3
What is the value of ((9/3)/6)/(117/(-2106))?
-9
(11/((-55)/6))/((-9)/(-60))
-8
Evaluate (57/532)/((-13)/(52/15)).
-1/35
What is the value of ((-1)/3*(0/4)/14)/(-1)?
0
Evaluate (-2*(-2)/36)/((-79)/(-13509)).
19
What is the value of (-5)/(((-12)/(-30))/(8/(-10)))?
10
(3/3)/((-23)/184)
-8
What is 8/20*(-63)/(-28)*25/15?
3/2
Calculate 2745/(-183)*(-1)/21.
5/7
What is ((-3)/10)/(552/1840*-2*7)?
1/14
What is (-6)/4*179/(-537)?
1/2
Evaluate 13*(-25)/500*2/(-13).
1/10
Evaluate 18/(29/(319/22)).
9
What is ((-3)/(-9))/(-8*1/(-4))*-10?
-5/3
Calculate (2/(-11))/((-368)/(-552)).
-3/11
What is the value of ((-3)/(-4)*10/(-15))/(3/6)?
-1
What is (-15)/(1/((-5)/1)*-5)?
-15
((-1092)/(-17836))/(1/7)
3/7
What is 2/(-1)*1/(-2)*(-5)/(-15)?
1/3
Evaluate 4/15*(432/16)/(-108).
-1/15
(-1972)/1479*9/(-4)
3
(5/((-10)/(-4)))/(8/640*-10)
-16
Evaluate -7*(-4)/7*876/(-1168).
-3
What is ((-15)/(-1))/((-3935)/787)?
-3
What is the value of 24/(-38)*6707/(-706)?
6
What is the value of ((-8)/204)/(4/24*-2)?
2/17
What is (-1)/(33/209)*3?
-19
What is (-720)/(-1980)*11/90?
2/45
Evaluate (-18)/36*(9*3)/((-9)/12).
18
-35*((-27)/45)/3*280/98
20
Calculate ((-657)/(-730))/((-3)/2).
-3/5
(-4893)/699*19/7
-19
What is the value of 1*-1*((-3179)/374)/((-2)/(-4))?
17
Evaluate (-162)/9*(-1)/12*2.
3
Calculate (-2*(-3)/4)/(21/(-280)*-5).
4
What is the value of ((-55)/(-9))/(400/(-160))?
-22/9
What is the value of ((-192)/(-320))/((-3)/2)?
-2/5
What is ((-8)/100)/((-9)/120*-8)?
-2/15
What is ((-16)/22*1)/((-1456)/8008)?
4
Calculate -22*7/21*3/2.
-11
(-1)/((-10)/6*(-26)/((-9360)/(-918)))
-4/17
What is ((-7)/(-12)*(-15)/(-5))/((-234)/(-3744))?
28
Evaluate (4*14/(-84))/(50/30).
-2/5
What is (3/(-3)*(-200)/120)/((-2)/6)?
-5
1/2*((-100)/(-5))/((-4)/(-2))
5
What is -4*1*15/(-18)*(-30)/140?
-5/7
(-9*(-2)/78)/(9*9/1053)
3
((3420/210)/(-19))/(-3)
2/7
What is the value of 0/(2/(-10)*(-40)/(-8))?
0
Calculate (-140)/84*(-24)/(-20)*(-15)/(-3).
-10
What is -6*(-744)/558*(-2)/(-28)?
4/7
What is ((132/9)/(-1))/(11/(231/(-14)))?
22
Calculate 256/(-24)*9/6.
-16
What is the value of ((-1)/6)/(685/28770)?
-7
Calculate (6/22)/((-73)/(-803)).
3
What is the value of (((-40)/(-30))/(2/3))/(4*-3)?
-1/6
((6/(-1))/(2/5))/((-6)/4)
10
Calculate (-46)/598*(-8)/(-2).
-4/13
What is (-148)/37*(-16)/(-4)?
-16
(6*18/12)/((-3)/((-3)/(-1)))
-9
What is (-2600)/(-300)*(-6)/4?
-13
What is (-49)/(-392)*64/40?
1/5
What is the value of ((-2)/(42/(-5)))/((-24)/(2448/(-85)))?
2/7
What is (3978/(-408))/((3/(-12))/(3/9))?
13
(-4)/2*((-37)/555)/((-1)/(-5))
2/3
Evaluate (((-192)/12)/240)/(6/9).
-1/10
Evaluate ((-4)/(-6)*21/(-49))/((-615)/(-287)).
-2/15
What is (3/(-12))/((-1855)/(-1590))?
-3/14
((-170)/34)/(5/3)
-3
What is 9/30*(-10)/78*4?
-2/13
Evaluate 23/((-1035)/(-110))*18/4.
11
Calculate 27/(-3)*(-40)/24.
15
Calculate (1*5/(-2))/((-2)/12).
15
Calculate 160/60*135/(-12)*-1.
30
What is -1*(-21)/6*8865/(-4137)?
-15/2
What is 28/(-18)*1308/(-872)?
7/3
Calculate (240/(-27))/(-4)*1071/(-238).
-10
(-42)/(-7)*39*10/90
26
What is the value of 2268/(-864)*(-16)/2?
21
Evaluate ((-319)/(-2))/11*2.
29
What is 2/63*9*-28*2?
-16
Calculate ((-24)/(-26))/1*((-4)/(-1))/(-16).
-3/13
What is the value of (1134/(-36))/21*1/(-9)?
1/6
(4*(-6)/(-9))/(23/(621/(-198)))
-4/11
Evaluate (-12)/792*-2*-6.
-2/11
Calculate ((-11253)/(-66))/11*2.
31
Evaluate 5*1*(-4)/((-70)/7*3).
2/3
Evaluate (-4)/(-144)*4*-25*4/10.
-10/9
(3/(-4))/(((-13)/(-52))/1)
-3
What is the value of ((20/(-15))/(-4))/(((-78)/144)/(-13))?
8
((-2)/1*(-8)/(-220))/((-31)/(-310))
-8/11
What is the value of 7056/(-19656)*12/(-14)?
4/13
What is (933/(-4665))/((-4)/(120/(-34)))?
-3/17
Calculate (1288/5796)/((-2)/(-6)).
2/3
((-272)/1122*22)/((-10)/6)
16/5
Evaluate (-5)/12*((-432)/45)/(-24).
-1/6
What is (12/264*77)/((1/2)/(-1))?
-7
Calculate (-105)/(-45)*15/28*-1.
-5/4
What is the value of 6/(468/65)*(-30)/5?
-5
Calculate (19*3)/(-25*(-48)/400).
19
Calculate (((-660)/75)/(-22))/(14/5).
1/7
What is ((-1200)/128)/(-25)*24/(-3)?
-3
Evaluate ((-303)/202)/(1/(-4)).
6
What is 330/198*3/5*-7?
-7
((-75)/(-50))/(-1*(-1)/(-6))
-9
Evaluate (104/(-26))/(((-2)/(-15))/(2/4)).
-15
What is 175/130*26*16/(-14)?
-40
Calculate (((-54)/(-2580))/(30/(-25)))/((-9)/24).
2/43
What is the value of (-12)/63*3*(-30)/180?
2/21
What is the value of (0*((-5)/(-2))/(-5))/(316/(-79))?
0
What is the value of 20*(-3)/4*(-4)/(-5)?
-12
((-1)/(((-308)/(-16))/11))/(1/(-7))
4
Calculate 1*(-55)/((-8360)/16).
2/19
Evaluate 600/500*25/(-3).
-10
Evaluate ((-1)/3)/((-360)/(-14040)).
-13
Calculate (((-4)/1)/(-1))/(6/(-15)*-2).
5
What is 6/(-7)*(833/68)/7?
-3/2
Calculate (-9)/30*(-335)/(-2211).
-1/22
Calculate 56/1190*(-50)/(-40).
1/17
What is the value of ((-16)/(-10))/4*((-9500)/57)/(-20)?
10/3
Calculate 242/(-33)*138/759.
-4/3
What is the value of ((-676)/156)/(39/(-9))?
1
What is (-35)/1*4/10?
-14
What is the value of (-28)/364*13*2/14?
-1/7
What is 63*(-62)/837*6/4?
-7
(1*54/(-15))/(((-2816)/(-55))/(-16))
9/8
What is the value of 150/125*400/(-840)?
-4/7
Evaluate (20/70*(-7)/(-8))/((-43)/(-172)).
1
|
{
"pile_set_name": "DM Mathematics"
}
|
ive.
m**(1474/1953)
Simplify j**(-2/47)/(j/j**(-6/11)) assuming j is positive.
j**(-821/517)
Simplify (b**(3/2)*b*b*b*b/(b/(b**(-2)/b))*b*b)/(b*b**(-4/9)*b*b*b**(-2/3)) assuming b is positive.
b**(29/18)
Simplify (i**3)**(-7/2)/(i*i**1)**19 assuming i is positive.
i**(-97/2)
Simplify ((o*o/o**(2/3))/o)**(-17)/(o**4*o/o**(3/4)) assuming o is positive.
o**(-119/12)
Simplify g**0/(g*(g**4*g*g*g)/g*g)*(g/(g/g**1)*g)/g*g**(-1/11) assuming g is positive.
g**(-78/11)
Simplify (f**12)**(7/4) assuming f is positive.
f**21
Simplify (((l**(-1/3)/l)/l)/l)**41*(l/(l/l**(-4)))/(l*l/(l/l**(-1/4)*l)) assuming l is positive.
l**(-1685/12)
Simplify b*b**(-9/7)*b**(-20) assuming b is positive.
b**(-142/7)
Simplify (r**(2/111))**(28/9) assuming r is positive.
r**(56/999)
Simplify c**(-7/9)/(c/(c**(-32)*c)*c*c) assuming c is positive.
c**(-313/9)
Simplify z**(-4)/z*z**1 assuming z is positive.
z**(-4)
Simplify ((r*(r**(-4)*r)/r)/r)**(3/14) assuming r is positive.
r**(-6/7)
Simplify q**(-4/5)/(q/(q*q**(1/2)/q)) assuming q is positive.
q**(-13/10)
Simplify (r**(-25)*r)/r*r*r**(3/14)/r assuming r is positive.
r**(-347/14)
Simplify q**(-3/4)*q**(-8) assuming q is positive.
q**(-35/4)
Simplify (((o**(-6)/o)/o)/o*o*o*o*o)**(6/5) assuming o is positive.
o**(-6)
Simplify ((u/(u/(u**(21/4)*u)))/u)/u*u/(u**(-16)*u)*u assuming u is positive.
u**(85/4)
Simplify w**(-1/2)*w*w**(-1/36) assuming w is positive.
w**(17/36)
Simplify (c*c**(-5))/(c*c**(-4))*(c/c**(1/4))/c**(-1/12) assuming c is positive.
c**(-1/6)
Simplify ((q/q**(-2/19))/q*q*(q/(q/((q/(q/(q*q**(-1/10)))*q)/q)))/q)**0 assuming q is positive.
1
Simplify (n**(-10)*(n*n*(n*n**(-4)*n)/n)/n)/((n**9/n*n*n)/(n**6*n)) assuming n is positive.
n**(-15)
Simplify (n**(-3))**2 assuming n is positive.
n**(-6)
Simplify (l*l/(((l/((l/l**(-4))/l))/l)/l)*l**(4/5))/(l*l*l**(-2/7)/l)**19 assuming l is positive.
l**(-202/35)
Simplify (k**5*k/k**3)/(k**(-1/4)/k)**5 assuming k is positive.
k**(37/4)
Simplify (c*c**(3/8)/c*c/(c/c**(1/4)))**(-2/71) assuming c is positive.
c**(-5/284)
Simplify m**(1/33)*m*m**18 assuming m is positive.
m**(628/33)
Simplify (l**(-2/13)/(l/((l**8/l*l)/l)))/(((l/(l/l**(3/4)))/l)/l**7) assuming l is positive.
l**(681/52)
Simplify d**(-1/22)*d/(d*(d/d**(2/35))/d) assuming d is positive.
d**(9/770)
Simplify (h**(-1/9)*h*h)/(((h*h/h**(2/83))/h)/h) assuming h is positive.
h**(1429/747)
Simplify l**(-19/2)/(l/(l/l**0*l)) assuming l is positive.
l**(-17/2)
Simplify s**(7/2)/(((s*(s*s/(s*s**(-21)))/s)/s)/s) assuming s is positive.
s**(-33/2)
Simplify ((h*h**(1/13)/h)/(h/h**(-2/9)))**(2/5) assuming h is positive.
h**(-268/585)
Simplify ((g**(-1))**(-40))**(2/9) assuming g is positive.
g**(80/9)
Simplify (t**5/t)**(1/35) assuming t is positive.
t**(4/35)
Simplify (j*j/(j/(j/(j/(j**(-5/2)/j)))*j)*j*j)**(31/5) assuming j is positive.
j**(-93/10)
Simplify (r**1)**23/((((((r/(r/((r**(-1)*r*r)/r)))/r)/r)/r)/r)/r)**(-1/7) assuming r is positive.
r**(156/7)
Simplify (i/(i*i**(4/7)/i)*i*i*i**(-2/17))/(i**5/i*i/i**9) assuming i is positive.
i**(751/119)
Simplify (i/i**20)/(i**43/i) assuming i is positive.
i**(-61)
Simplify (t/(t**(1/12)/t)*t)**41 assuming t is positive.
t**(1435/12)
Simplify (q**(-2/9)/q)**22/(q**(1/3))**(-23/6) assuming q is positive.
q**(-461/18)
Simplify (p*p/(p**(2/11)*p)*(p**(-7)/p)/p*p)**(3/22) assuming p is positive.
p**(-237/242)
Simplify (a/(a**(-3)/a))**(14/11)*a**(1/21)*a**(1/5) assuming a is positive.
a**(7636/1155)
Simplify ((d**(6/11)/d)/(d*d*(d/(d/(d*((d/((d**(-6)/d)/d)*d)/d)/d*d)))/d*d*d))**(-4/5) assuming d is positive.
d**(592/55)
Simplify (j/(j/(j*j*j**9)))/(j*j*j**(-7/5)*j*j)*(j*j/j**8*j)/j*((j/(j*j**(3/10)))/j)/j assuming j is positive.
j**(1/10)
Simplify v**2/((v**18*v)/v) assuming v is positive.
v**(-16)
Simplify s/(s*s/(s/s**(1/7)))*s/((s/s**(4/3))/s)*s**(-1/12)/(s/s**(-1/8)) assuming s is positive.
s**(55/56)
Simplify (n*n**(-7))/n*n*n**(3/7) assuming n is positive.
n**(-39/7)
Simplify (y**2)**19 assuming y is positive.
y**38
Simplify (((f**(3/2)/f)/f)**(-3/29))**(-11/2) assuming f is positive.
f**(-33/116)
Simplify (o**10/o*o**(-6))**17 assuming o is positive.
o**51
Simplify (n/(n**(-1/3)*n)*(n**(3/17)/n)/n)**(-1/8) assuming n is positive.
n**(19/102)
Simplify ((s*s**(-14/9))/s)/s*s/(s**(2/59)/s*s) assuming s is positive.
s**(-844/531)
Simplify ((l*l**2)/l*l**(-2/5))/(l**(-1))**(-9/10) assuming l is positive.
l**(7/10)
Simplify (c**(2/3)/c)**(1/14) assuming c is positive.
c**(-1/42)
Simplify l**(2/3)/(l*l**(-2)/l)*((l*l*l**(-4))/l)/(l**5*l) assuming l is positive.
l**(-19/3)
Simplify (q**(-1/4))**(-14/9)*((q*(q*q**1/q)/q)/q)/(q**1/q) assuming q is positive.
q**(7/18)
Simplify (q**(4/9)*(q*q**(-1/4))/q)**47 assuming q is positive.
q**(329/36)
Simplify (w/(w/(w*w*((w/w**(-9/5))/w)/w*w*w)))/w**(7/2) assuming w is positive.
w**(13/10)
Simplify (p**14*p*p/p**(-4/7))**(14/13) assuming p is positive.
p**(232/13)
Simplify (h/h**(-6)*h)/h**5 assuming h is positive.
h**3
Simplify (k/((k**(-27)/k)/k))**(-23) assuming k is positive.
k**(-690)
Simplify (((r/((r*r**6)/r)*r*r)/r)/r*r**(-13)*r)**(-17/4) assuming r is positive.
r**(289/4)
Simplify (r*r**7*r)/(r/(r/r**(-3)))*r**1*r**(-7) assuming r is positive.
r**6
Simplify (v**(-1/4)*(v/v**2)/v*v)/(v**(-2/7)*v**(-7)) assuming v is positive.
v**(169/28)
Simplify (n/n**10)/n**(-6)*(n*n**(1/2))**(2/21) assuming n is positive.
n**(-20/7)
Simplify l*l**10*l*l*l**(-21/8) assuming l is positive.
l**(83/8)
Simplify u**(4/9)/(u**13*u) assuming u is positive.
u**(-122/9)
Simplify c/(c/(c*c/c**(5/3)))*c**(-2/19) assuming c is positive.
c**(13/57)
Simplify p**(-2/13)/(p**(-9/4)*p) assuming p is positive.
p**(57/52)
Simplify o/o**8*o*o**(5/3)*o*o*o**(6/11)/((o*o**3)/o*o) assuming o is positive.
o**(-191/33)
Simplify l**(5/4)/l**2*l**(-1/2)/l**(5/3) assuming l is positive.
l**(-35/12)
Simplify (k**7)**41 assuming k is positive.
k**287
Simplify v**(2/15)*v*v*v*v/((v**(-1/3)/v)/v)*v*v**(1/2)/((v**(-6)/v)/v) assuming v is positive.
v**(479/30)
Simplify (a/(a**(4/11)/a))/((a*a*a**(-2/21)*a*a)/a)*(a**(-2)/a)/a*a**(1/4)*a*a assuming a is positive.
a**(-2789/924)
Simplify (g**(-3/2)/(g*g**(-3)))**(-4/3) assuming g is positive.
g**(-2/3)
Simplify (n**8*n)/((n/n**(2/57)*n)/n) assuming n is positive.
n**(458/57)
Simplify (p/((p**(1/13)/p)/p))/p**(2/75) assuming p is positive.
p**(2824/975)
Simplify (d**(-1/2)/(d**(-1/4)/d))**27 assuming d is positive.
d**(81/4)
Simplify a**6*a/((a/(a**(-1/5)/a))/a*a)*a*a/a**1*a*a*a*a**(-2/5) assuming a is positive.
a**(42/5)
Simplify (r**(1/4))**34/(r**(-3/2)/(r/(r*r*r**2*r))) assuming r is positive.
r**6
Simplify (c*c**(1/12)*c)/c*c**(1/41) assuming c is positive.
c**(545/492)
Simplify z/(z**20/z)*z**(-10) assuming z is positive.
z**(-28)
Simplify (o/(o*o/o**(1/3)))**(2/65)/((o/(((o/(o/(o/(o*o**6/o))))/o)/o)*o*o)/o**(-3/5)) assuming o is positive.
o**(-2071/195)
Simplify o**(-20)/(o/(o/o**(1/19)*o)) assuming o is positive.
o**(-362/19)
Simplify (c**(-7/2)/(c*c**(-5)))/(c**(1/2)*c*c/c**3) assuming c is positive.
c
Simplify c*c/c**(-1/4)*c*c*((c**(-28/5)/c)/c)/c assuming c is positive.
c**(-87/20)
Simplify ((f/(f*f**2))/f)/(f/(f*f*f*f**3))*(f**(-2/7)/f)**(28/3) assuming f is positive.
f**(-10)
Simplify ((m**(-7)/m)/m*m**(-4/7))**(-1/11) assuming m is positive.
m**(67/77)
Simplify ((f*(f**(-2/9)*f)/f)/f*f/((f/f**(-1))/f))/(f**(2/9))**0 assuming f is positive.
f**(-2/9)
Simplify (w/(w**(-18)/w))/w*w**(3/2) assuming w is positive.
w**(41/2)
Simplify a*a*a*a/(a*a/(a*a**(-20)*a))*a*a**(-8) assuming a is positive.
a**(-23)
Simplify (g**(-37)/g*g)/g*g*g**(-9) assuming g is positive.
g**(-46)
Simplify l**(-2)/l*l**(-5) assuming l is positive.
l**(-8)
Simplify (t**(-8/5))**(-25) assuming t is positive.
t**40
Simplify (c**(1/3))**29*c/(((c*c*c**(-1/5)*c)/c)/c)*c/c**(-2/9) assuming c is positive.
c**(499/45)
Simplify (h**(-23)/h)/h*h*h*h*(h*h/h**(-1/3)*h)/h assuming h is positive.
h**(-59/3)
Simplify (j**0/j)**2/(j*j**1/j)**(-12) assuming j is positive.
j**10
Simplify x**5/x*(x/x**0)/x*(x**(-2/5))**(-1/29) assuming x is positive.
x**(582/145)
Simplify s**9*s**(3/11) assuming s is positive.
s**(102/11)
Simplify (r*r**21)/(((r*(r*r*r**(-11/3)*r*r)/r)/r)/r) assuming r is positive.
r**(71/3)
Simplify (g**(-4/13))**43 assuming g is positive.
g**(-172/13)
S
|
{
"pile_set_name": "DM Mathematics"
}
|
+ (1/((-6)/36) - -16). Let f = 4 - 4.5. Sort f, m, -5 in ascending order.
-5, f, m
Let d(y) = y**3 - 2*y**2 - 3*y - 3. Let x be d(3). Suppose k = 3*k - a + 2, 12 = -3*k - 3*a. Let b = -6 - k. Sort b, 5, x.
b, x, 5
Let y(d) = d**3 - 27*d**2 + 93*d - 19. Let x be y(23). Sort x, 5, -251 in decreasing order.
5, x, -251
Suppose -2*n + 3*n = 1. Let i(o) = o**2 + 45*o + 264. Let x be i(-38). Put -5, n, x in decreasing order.
n, x, -5
Let y = -628.6 - -627. Put -5, y, -0.4 in ascending order.
-5, y, -0.4
Let n(i) = -6*i - 145. Let l be n(-25). Suppose -4*s - 9 = -5. Suppose -h = 5*w - 2*h + 14, 5*w + 2*h = -17. Sort l, s, w.
w, s, l
Let b = -6 - -5. Let a = b + 0.6. Let r = -0.05 + -4.95. Sort a, 3, r.
r, a, 3
Let s = 10.96 - -2.04. Sort s, -4, 2/7 in ascending order.
-4, 2/7, s
Let m(o) = -o**2 - 6*o - 7. Let z be m(-5). Let g be 26/(-6) + 6/(-9). Let l = g + 0. Sort 4, z, l in increasing order.
l, z, 4
Let h = 0.16 - 0.32. Let c = -0.16 - h. Let o = 0.29 - 0.4. Sort o, c, -3/4 in ascending order.
-3/4, o, c
Let n = -32 + 39. Suppose -3*f - 3 = 3*s, 0*f + f = -3*s + n. Suppose 5 = h - 2*y - 3, 5*h - s = y. Put 2, -1, h in increasing order.
-1, h, 2
Let q = 1/5 + 13/10. Let m = 10.7 - -0.3. Let s = m + -10.8. Sort q, s, 1/3 in decreasing order.
q, 1/3, s
Let z = 1.4 - -0.6. Suppose -4*u - 2*q = -2, -5*u + 4*q = -u - 20. Suppose -2*b = -4*b + u. Sort b, z, -1/4 in ascending order.
-1/4, b, z
Let i be (480/(-600))/(3 + 17/(-5) + 0). Let x = -3/112 - 197/1008. Put x, -1/3, 3, i in descending order.
3, i, x, -1/3
Let i = -11.369 + 11.3. Let h = -0.069 - i. Put h, 2, 5, -5/2 in increasing order.
-5/2, h, 2, 5
Let m(q) = q - 5. Let y be m(4). Let t be 4 - -6 - (y - -1). Suppose -3*i + 4 = t. Sort -1, 5, i in descending order.
5, -1, i
Let a = -381 + 389. Sort -4, a, 0, -1 in descending order.
a, 0, -1, -4
Let a be 13/((-715)/33)*(-1 + (-3)/(-9)). Let v = -2 - -3. Put -6, v, a in decreasing order.
v, a, -6
Let a = -33 + 30. Let y be (0 + 5/5)*a/1. Put 31, -2, y, 0 in decreasing order.
31, 0, -2, y
Let s = -28 + 32. Suppose 16*h - 2 = 30. Suppose -5 - 10 = -5*j. Put j, h, s in descending order.
s, j, h
Let b be 6/(-10) + 1022/70. Let i be (10/15 - b/(-15)) + -2. Put i, 2/7, -0.6 in decreasing order.
2/7, i, -0.6
Let t = -72.71 + 73. Sort -0.3, 3/7, t in decreasing order.
3/7, t, -0.3
Suppose 69 = -12*q + 9. Put -3, 4, q in descending order.
4, -3, q
Let n be 3000/144 - 2/(-12). Let c = n + -33. Sort 3, c, -5 in increasing order.
c, -5, 3
Suppose c + 8 = -2*t, -3*c = 5 + 7. Let d be 0 + (-2 - -2 - 0). Sort t, d, -1 in decreasing order.
d, -1, t
Suppose -13 + 3 = 5*j. Let k be (j/3)/((-1)/3). Suppose -9 = -m - k*m. Put -3, 0, m in ascending order.
-3, 0, m
Let i(g) = g + 5. Let l be i(3). Suppose -3*r = -l - 10. Suppose 0 = -s, 9 = -3*b + r*b - 3*s. Sort -5, -2, b.
-5, -2, b
Let q(p) = p**2 + 6*p + 2. Let c be q(-8). Let j be (-4)/c + 6/27. Sort -5, 9, j in descending order.
9, j, -5
Let i = -1 - 3. Let k(q) be the second derivative of q**3/6 + 5*q**2/2 - 8*q. Let u be k(-7). Sort u, i, -5 in increasing order.
-5, i, u
Let t = -33 - -88.2. Let q = -54 + t. Sort 0.4, q, 5.
0.4, q, 5
Let t be 33/18 + 6/36. Let g = -1 + 1. Put 3, t, g in ascending order.
g, t, 3
Let s be 4/6 - (-64)/(-78). Let m = -0.065 - -1.085. Let p = m - 3.02. Put -3, s, p in ascending order.
-3, p, s
Let c = -77/155 - -3/31. Put 6/11, -2, c, 1 in descending order.
1, 6/11, c, -2
Suppose 2*p - p + 21 = 0. Let a = p + 35. Put a, 2/3, -2 in ascending order.
-2, 2/3, a
Suppose 0 = -17*n + 46 - 12. Put -1, 4, n, 14 in decreasing order.
14, 4, n, -1
Let n(f) = -23*f + 200. Let m be n(10). Put -3, m, 39 in decreasing order.
39, -3, m
Suppose -491 = -13*c - 426. Sort c, -8, -9 in descending order.
c, -8, -9
Let d = -15 - -27. Let f = -31 - -17. Let b = f + d. Put 5, 1/2, b in ascending order.
b, 1/2, 5
Let g = 498 + -500.3. Sort 0.5, 2, g, 0.2 in decreasing order.
2, 0.5, 0.2, g
Let a = 119 + -121. Put 0.02, a, 3 in ascending order.
a, 0.02, 3
Let q be 99/(-132)*40/(-6). Let k(v) = v**3 - 6*v**2 - v + 5. Let u be k(6). Put 2, u, 1, q in increasing order.
u, 1, 2, q
Let h = -209 - -216. Sort h, 1, 0, 4 in decreasing order.
h, 4, 1, 0
Let q = -27.2 - -26.8. Let o = -18.1 - -24. Let n = o - 6. Sort n, 2, q in decreasing order.
2, n, q
Let g be 0 - (-2 - (7 + -4)). Let k be ((-1)/g)/(12/24). Sort 4, -16, k in descending order.
4, k, -16
Let v = -3.7 + 3.6. Sort v, -6, 0.3, -2/7.
-6, -2/7, v, 0.3
Let g be 5/30*(-72)/16. Sort -0.2, g, -39/4.
-39/4, g, -0.2
Let z = 1 - 3. Let a be (-5 + 2)*z/(-3). Let v = -105 + 105. Put v, 2/11, a in ascending order.
a, v, 2/11
Suppose 8 = 2*c, -2*n - 2*c = 3*n - 13. Suppose 0 = 2*h - x - 2 + 3, -x - n = -4*h. Sort h, 5, -1.
-1, h, 5
Suppose -16 = 2*d - 3*b, 4*d + 8 + 4 = b. Let o be 1*2/(-4)*d. Let g be -1 - 3 - (-3)/o. Sort g, 4, -5 in decreasing order.
4, g, -5
Let x = -5 + 3. Let i = x + -1. Sort 2/5, i, 0.3, -8/5.
i, -8/5, 0.3, 2/5
Let y = -3059/8200 - 2/1025. Let t = -4 - -9. Put -0.4, y, t in increasing order.
-0.4, y, t
Let c = 617 + -616.8. Sort c, 2.3, -5 in ascending order.
-5, c, 2.3
Let x(c) = -c**2 + 6*c - 3. Let d be x(4). Suppose 3*g - 6*g + 21 = 0. Suppose -g*h - d = -2*h. Put -2, h, -3 in descending order.
h, -2, -3
Let n = 2.48 - 2.68. Sort n, 0.2, -4/13 in decreasing order.
0.2, n, -4/13
Suppose -5*n + 64 + 36 = 0. Let b be (-3)/n - (-3)/(-12). Let v(f) = f**2 - 3*f + 1. Let h be v(2). Sort h, 1/2, b in decreasing order.
1/2, b, h
Let c = -1 + 6. Suppose c*u = -2 + 7. Suppose 5*w - u - 34 = 5*g, -2*g - 3*w - 4 = 0. Put 6, 2, g in decreasing order.
6, 2, g
Let f(n) = 2*n**2 - 18*n + 8. Let d be f(11). Let s = -52 + d. Sort s, 22, -3.
-3, s, 22
Let r be -16 + 3*132/36. Let n be (0 - -3)/(6/(-4)). Suppose -2*c - c = -15. Put c, n, r in ascending order.
r, n, c
Suppose 4*t + 22 + 12 = -5*p, -2*p = -t - 2. Sort 2, 1, t.
t, 1, 2
Let c = 9 + -17/2. Let d be (6/9)/2*-3*1. Sort c, -0.5, d, 0.2.
d, -0.5, 0.2, c
Suppose -2*f - 5*i + 38 = 0, i + 14 = 2*f - 0*i. Suppose 0 = -5*m - 56 + 11. Let c = m + f. Put -4, -2, c in decreasing order.
c, -2, -4
Let b = -2408 + 2412. Let r be (2/3)/((-28)/18). Let a = -3.1 - -3. Sort a, b, r.
r, a, b
Let w(h) = h**3 - 4*h**2 + 3*h + 3. Let k be w(4). Let t = -1507 - -1511. Sort t, -2/9, k in decreasing order.
k, t, -2/9
Let g be ((-5)/10)/((-1)/12). Let m be 139/g*(-3)/11. Let c = m + 42/11. Put c, -5, -0.5 in ascending order.
-5, c, -0.5
Let g be (17 - 19)/(-1*1). Suppose -3*q + x - 17 = 0, -14 = -4*q - 5*x - 5. Let j be -2 - -3 - (-6)/(-1). Put j, q, g in decreasing order.
g, q, j
Let b(x) = x + 3. Let s be b(3). Suppose s*q = -0*q. Sort 3, q, -2, -3/2 in descending order.
3, q, -3/2, -2
Let h(j) = -4*j. Let k be h(1). Let c(n) = -3*n**2 - 213*n - 211. Let b be c(-70). Sort 12, 4, k, b in decreasing order.
12, 4, b, k
Suppose -2*b - s = 4, -25*s - 16 = -29*s. Sort -5, -8, -2, b in ascending order.
-8, -5, b, -2
Let g(x) = -x**3 - 11*x**2 + 11*x - 9. Let w be g(-12). Suppose 2*y + 4 = 0, o + 5*y + 2 = -w*o. Sort 3, 1, o in descending order.
3, o, 1
Let o = -0.02 + 4.02. Let n be ((-8)/10 + 1)*710/(-639). Sort 1/9, n, o, -2 in decreasing order.
o, 1/9, n, -2
Let w = 7 + -2. Let r = 216/541 + 2/2705. Let h = 0.8 + -4.8. Put w, h, r in decreasing order.
w, r, h
Let w = 0.005 - 0.505. Put 2/9, w, -11, -0.3 in decreasing order.
2/9, -0.3, w, -11
Let m(l) = l**2 + 6*l - 21. Let n be m(-9). Suppose -k - 7 = -n. Sort -2/23, 2/3, k, 2/7 in ascending order.
k, -2/23, 2/7, 2/3
Let c be -8 + 965/105 + 1/(-3). Put -5, c, -0.1 in ascending order.
-5, -0.1, c
Suppose -b - 4*q - 28 = 0, 7*b = 3*b - 4*q - 76. Let j(o) = 2*o + 35. Let u be j(b). Sort -4, u, 1 in descending order.
u, 1, -4
Let i(y) = 4*y**2 - 63*y - 21. Let k be i(16). Let t = 61 - 54.3. Let f = -7 + t. Sort 0.2, f, k in decreasing order.
0.2, f, k
Let g = -16 - -16.7. Let m = 4.3 + g. Sort 2/9, m, 5/7 in increasing order.
2/9, 5/7, m
Let d = -26 - -30. Let y(m) = 2*m - m + 5 - 4. Let t be y(-5). Put 3, t, d in descending order.
d, 3, t
Let s = 8 - 3. Let o = -7.25 + 0.25. Let p = o + 2. Put s, p, 3 in increasing order.
p, 3, s
Let l = 24.2 + -27. Let z = l + -3.2. Let n(u) = u**2 - 8*u + 4. Let h be n(7). Put z, 3/8, h in descending order.
3/8, h, z
Suppose -4*t - 12 = -4*
|
{
"pile_set_name": "DM Mathematics"
}
|
208
Simplify sqrt(125)*1 + -4 + 3.
-1 + 5*sqrt(5)
Simplify (-4 + sqrt(2352))*4.
-16 + 112*sqrt(3)
Simplify (((sqrt(448) - (sqrt(448) + -5*(-4 + sqrt(448)))) + sqrt(448))*-3)**2.
-17280*sqrt(7) + 148752
Simplify 4 + (sqrt(1573) - sqrt(1573)*-2).
4 + 33*sqrt(13)
Simplify ((-2 + sqrt(192))*-6*4 + 0)**2.
-18432*sqrt(3) + 112896
Simplify ((sqrt(7) - (-2 + sqrt(7))) + 0)*2.
4
Simplify (-5 + sqrt(108) + 2 + sqrt(108))**2 + (sqrt(108) - ((sqrt(108) + 2)*5 + sqrt(108)))**2.
528*sqrt(3) + 3241
Simplify (-6*(sqrt(51) + sqrt(153)/sqrt(3)))/(sqrt(3) - sqrt(288)/sqrt(6)).
4*sqrt(17)
Simplify (sqrt(288)*-1)**2*-4.
-1152
Simplify (sqrt(9) + 3*(sqrt(27)/sqrt(3) - sqrt(9)))/((sqrt(3) - (sqrt(108) - sqrt(27))) + sqrt(3)).
-sqrt(3)
Simplify (5*(sqrt(99) + sqrt(99) + -2*sqrt(99) + sqrt(99) + sqrt(99)))/((sqrt(252)/sqrt(7))/sqrt(4)).
10*sqrt(11)
Simplify (sqrt(1216) + -5)*5.
-25 + 40*sqrt(19)
Simplify sqrt(88)/(sqrt(16)/sqrt(98)).
7*sqrt(11)
Simplify (2 + sqrt(800))**2.
80*sqrt(2) + 804
Simplify 1*(-1 + sqrt(272)).
-1 + 4*sqrt(17)
Simplify ((sqrt(24) - sqrt(120)/sqrt(5))/sqrt(12))**2 + (sqrt(56) - sqrt(14))/sqrt(7).
sqrt(2)
Simplify (-1*sqrt(176))**2 + 3.
179
Simplify (1 + (2*sqrt(30))/sqrt(6) + 0)**2.
4*sqrt(5) + 21
Simplify (sqrt(11) + sqrt(55)/sqrt(5))**2 + 1 - ((sqrt(44)/(-1*sqrt(4)))**2 + sqrt(11)).
-sqrt(11) + 34
Simplify (1*sqrt(17))**2 + -3 - sqrt(68)/(sqrt(4)*4).
-sqrt(17)/4 + 14
Simplify ((sqrt(125) + -2)**2 + sqrt(125))*-4.
-516 + 60*sqrt(5)
Simplify sqrt(85)/(sqrt(250)/sqrt(2) - sqrt(5)).
sqrt(17)/4
Simplify sqrt(343) + 3 - (sqrt(70)/sqrt(10) + 0).
3 + 6*sqrt(7)
Simplify ((sqrt(204) + (sqrt(204)*1*-6 - sqrt(204)) + sqrt(204))/(-4*sqrt(12)*-2))**2.
425/64
Simplify sqrt(49)/(sqrt(7) - (sqrt(7) + (sqrt(49)*4)/sqrt(7))).
-sqrt(7)/4
Simplify -2*sqrt(57)/(-2*sqrt(147) - sqrt(147)) + 4.
2*sqrt(19)/21 + 4
Simplify 2 + sqrt(11) + (-4 + sqrt(704))**2 + -3.
-63*sqrt(11) + 719
Simplify 2 + -5*(sqrt(11) + sqrt(396))*1.
-35*sqrt(11) + 2
Simplify (1*sqrt(78)*1)/(-5*(sqrt(6) - (sqrt(6) - 1*sqrt(6)))).
-sqrt(13)/5
Simplify ((sqrt(26)*-2 + sqrt(26))*-1)/(2*sqrt(288)).
sqrt(13)/24
Simplify -1 + sqrt(539)*2*-2.
-28*sqrt(11) - 1
Simplify (5*sqrt(931) + sqrt(475) + -1)**2.
-80*sqrt(19) + 30401
Simplify (2 + 1*sqrt(425))**2.
20*sqrt(17) + 429
Simplify 1*(sqrt(320) + sqrt(20)).
10*sqrt(5)
Simplify (sqrt(936) + (sqrt(936) - 4*sqrt(936)))/sqrt(2).
-12*sqrt(13)
Simplify (2 + (-1*sqrt(128))**2)*-2.
-260
Simplify ((((sqrt(385) - sqrt(385)*-2) + sqrt(385) + sqrt(385) - sqrt(385) - sqrt(385)) + sqrt(385))/sqrt(7))/((-1*sqrt(77))/sqrt(7)).
-4*sqrt(5)
Simplify (sqrt(13) + ((sqrt(208) - -1*sqrt(208) - sqrt(208)) + sqrt(13) - sqrt(13)) + (sqrt(52) - sqrt(208))/sqrt(4))**2.
208
Simplify (2*sqrt(209)*-1)/(sqrt(11) + 1*sqrt(1331)).
-sqrt(19)/6
Simplify 5*(sqrt(5) + (-2 + sqrt(5)*2)**2).
-35*sqrt(5) + 120
Simplify -1 + sqrt(1900) + -3.
-4 + 10*sqrt(19)
Simplify (sqrt(171)*-1*6)/sqrt(9) + (1*sqrt(6897) + sqrt(6897))/sqrt(3).
16*sqrt(19)
Simplify -2 + (-3*sqrt(27)*-2)/sqrt(9).
-2 + 6*sqrt(3)
Simplify (sqrt(637) - sqrt(13)) + sqrt(13) + -2 + (-4*sqrt(104) + sqrt(104))/sqrt(8) + sqrt(13).
-2 + 5*sqrt(13)
Simplify sqrt(20) + 3 + -3*(sqrt(5) - (sqrt(5) - sqrt(50)/sqrt(10))).
-sqrt(5) + 3
Simplify (sqrt(66)*2*3 - sqrt(66))/sqrt(6).
5*sqrt(11)
Simplify -3 + (1 + sqrt(700) - sqrt(700)) - (sqrt(7) + sqrt(112) + (-2*sqrt(112))**2 + sqrt(112) - (sqrt(567) - (sqrt(567) + 0))).
-450 - 9*sqrt(7)
Simplify (sqrt(2) - ((sqrt(2450) - sqrt(50)) + sqrt(2)))**2 + 0 + sqrt(2) + 4 + -5.
sqrt(2) + 1799
Simplify (0 + sqrt(396) + -1)**2 + -5.
-12*sqrt(11) + 392
Simplify (((sqrt(385)/sqrt(11))/sqrt(7) + -4)*4)**2.
-128*sqrt(5) + 336
Simplify 4*(sqrt(1216)*-1 + -2).
-32*sqrt(19) - 8
Simplify ((sqrt(44)/(sqrt(8)/sqrt(2)))**2 - sqrt(11)) + sqrt(11) + (sqrt(132)/sqrt(108))**2.
110/9
Simplify sqrt(20)/sqrt(4)*4 + -3.
-3 + 4*sqrt(5)
Simplify ((sqrt(468) + 0 + sqrt(468) + sqrt(468))*1)**2 + 5*sqrt(117)*3.
45*sqrt(13) + 4212
Simplify (sqrt(76)/(-1*sqrt(484) - sqrt(484) - sqrt(484)))**2*2.
38/1089
Simplify (sqrt(1216) + 0 + 2)**2 + sqrt(1216).
40*sqrt(19) + 1220
Simplify ((sqrt(4) - 2*sqrt(36)) + sqrt(4))/(6*(sqrt(50) + sqrt(2)) + sqrt(2)).
-4*sqrt(2)/37
Simplify sqrt(8) + -1 + (-2*sqrt(14))/sqrt(7).
-1
Simplify 4*(1 + sqrt(45) - sqrt(5)).
4 + 8*sqrt(5)
Simplify (sqrt(540)/sqrt(48))/(sqrt(108)/(sqrt(192) + sqrt(12)) - sqrt(9)).
-5*sqrt(5)/8
Simplify (1*-3*sqrt(209))/sqrt(11).
-3*sqrt(19)
Simplify ((-2*sqrt(1300) + 4)*-3)**2.
-1440*sqrt(13) + 46944
Simplify 2*sqrt(612) - (sqrt(17) + 2*sqrt(17)*1).
9*sqrt(17)
Simplify 0 + (sqrt(432) + -1)*-3.
-36*sqrt(3) + 3
Simplify (((sqrt(12)*-3)/sqrt(6))**2 - ((-1*sqrt(10))/sqrt(5))**2) + 4.
20
Simplify 5*((-2*sqrt(931))**2 - sqrt(304)*5).
-100*sqrt(19) + 18620
Simplify ((sqrt(66) + sqrt(66)*2)*-6)/(sqrt(24)/sqrt(4)*-2).
9*sqrt(11)
Simplify sqrt(144)/sqrt(8) - (1 + 3*sqrt(2) + sqrt(2)).
-sqrt(2) - 1
Simplify (sqrt(11)*4*4 - -4*sqrt(1331))**2.
39600
Simplify ((sqrt(156)/sqrt(4) - sqrt(39))/sqrt(3))**2 + -3 + sqrt(208).
-3 + 4*sqrt(13)
Simplify -1*3*(sqrt(19) + 1).
-3*sqrt(19) - 3
Simplify -5*(sqrt(3) + 4)*-4.
20*sqrt(3) + 80
Simplify (sqrt(1700) + sqrt(1700) + 1)**2 + (sqrt(17) + -2)*1 + sqrt(17).
42*sqrt(17) + 6799
Simplify (sqrt(132) - (sqrt(132) - (5*sqrt(132)*-1 + sqrt(132))))/(sqrt(72)/sqrt(6)*-6).
2*sqrt(11)/3
Simplify (sqrt(14)/sqrt(2) + -3)**2 + -5.
-6*sqrt(7) + 11
Simplify (5*-2*sqrt(320)*-3)**2.
288000
Simplify (sqrt(171) + sqrt(171) + sqrt(171)*-3*-3 + sqrt(171))/(-3*sqrt(225)).
-4*sqrt(19)/5
Simplify (3 + sqrt(18) + sqrt(2) + -3*sqrt(2)*-4)**2.
96*sqrt(2) + 521
Simplify -4 + (sqrt(294) - ((sqrt(294)*2 + sqrt(294) + sqrt(294) - sqrt(294)) + sqrt(294) - sqrt(294)))/sqrt(2).
-14*sqrt(3) - 4
Simplify ((5*sqrt(38)/sqrt(2)*1)**2 + -4)*-4.
-1884
Simplify ((sqrt(153)*2*-3)/sqrt(9)*-6 + 0)**2.
22032
Simplify -4*-2*sqrt(19)*5.
40*sqrt(19)
Simplify -6*(sqrt(112) + -2).
-24*sqrt(7) + 12
Simplify (((sqrt(66)*-2 - sqrt(66))*-3)/((sqrt(66) + 2*sqrt(66))/sqrt(11)))**2.
99
Simplify sqrt(275) + sqrt(275) + (sqrt(275) + (sqrt(275)*2)**2)*-1 + 4.
-1096 + 5*sqrt(11)
Simplify (-1 + sqrt(152)/(sqrt(16)/sqrt(2)) + 3)**2.
4*sqrt(19) + 23
Simplify (2*sqrt(768))/(sqrt(12)/sqrt(8) + sqrt(6)).
32*sqrt(2)/3
Simplify 3*(3 + (sqrt(19) - (sqrt(304) + -4 + sqrt(19))))**2 + -1.
-168*sqrt(19) + 1058
Simplify (sqrt(28)/sqrt(4) + 5 - (sqrt(112) + -3))**2.
-48*sqrt(7) + 127
Simplify (-2*1*sqrt(931))**2 - (sqrt(931) + (sqrt(931) - 2*sqrt(931)*-6)).
-98*sqrt(19) + 3724
Simplify (((1 + sqrt(13))*-6 - sqrt(13)) + 0)**2*4.
336*sqrt(13) + 2692
Simplify -1*sqrt(5)*1 - (-5 + -4*sqrt(5)).
5 + 3*sqrt(5)
Simplify 4*sqrt(45)*5*5 + -4.
-4 + 300*sqrt(5)
Simplify ((sqrt(200)/sqrt(10))**2 + (0 + sqrt(15)/sqrt(3))**2)*5.
125
Simplify (1 + sqrt(5))**2*-2 + sqrt(500)*-1.
-14*sqrt(5) - 12
Simplify ((sqrt(605)*-1)**2 - sqrt(605))*6 - (sqrt(605) - (2 + sqrt(605)*-2)).
-99*sqrt(5) + 3632
Simplify ((-2*sqrt(33)*1)/(sqrt(3) + 2*sqrt(75)))**2.
4/11
Simplify (sqrt(17) + -5*sqrt(51)/sqrt(3) + 5 + sqrt(272) + sqrt(17))**2.
10*sqrt(17) + 42
Simplify -4*((1 + sqrt(2736)*-1)**2 - (0 + (sqrt(2736)*1)**2 + sqrt(2736))).
-4 + 144*sqrt(19)
Simplify -4 + (sqrt(3) - (sqrt(3)*1 + 4)**2).
-23 - 7*sqrt(3)
Simplify -5 + (-2*(0 + sqrt(432)))**2 + -3.
1720
Simplify ((sqrt(80) + sqrt(20))/sqrt(4) + 4*sqrt(10)/sqrt(2))**2*-4.
-980
Simplify (-5 + (sqrt(117)*-5 - sqrt(26)/(sqrt(2)*-1)))**2.
140*sqrt(13) + 2573
Simplify sqrt(1331) - ((sqrt(1331) + (sqrt(1331) + 1 - sqrt(1331)) + sqrt(1331))*-6)**2.
-191700 - 1573*sqrt(11)
Simplify (-1*sqrt(66))/sqrt(6)*-5.
5*sqrt(11)
Simplify (sqrt(104)/sqrt(128))**2*4.
13/4
Simplify 3 + (sqrt(25)*3)/sqrt(5) + sqrt(5) + 3.
6 + 4*sqrt(5)
Simplify (sqrt(13) - -2*sqrt(1053))*5*4.
380*sqrt(13)
Simplify -5*(sqrt(2) + (sqrt(2) + -3 + sqrt(2))*-4).
-60 + 35*sqrt(2)
Simplify sqrt(24)/(2*sqrt(8)) - (-1*sqrt(3) + 0).
3*sqrt(3)/2
Simplify (-2*sqrt(65)*-1 + sqrt(65))/(-4*sqrt(80)).
-3*sqrt(13)/16
Simplify (sqrt(55) + -3*(sqrt(55) + sqrt(165)/sqrt(3)))/(sqrt(5) - (sqrt(10) + sqrt(10) + (sqrt(10)*-2 - sqrt(10)))/sqrt(2)).
-5*sqrt(11)/2
Simplify (sqrt(2) + 1 + -5)*4.
-16 + 4*sqrt(2)
Simplify ((-3*sqrt(1008))/((sqrt(90)*3)/sqrt(10) + sqrt(9) - sqrt(9)))**2.
112
Simplify -1 + sqrt(19) + -1 + 1 + sqrt(684).
-1 + 7*sqrt(19)
Simplify (sqrt(360) + (
|
{
"pile_set_name": "DM Mathematics"
}
|
64) - sqrt(64)) + sqrt(64))*3.
-9*sqrt(3)
Simplify 2*6*(-5 + (-1 + (sqrt(144)/sqrt(4))/sqrt(12))*1*-3*3).
-108*sqrt(3) + 48
Simplify ((0 + (sqrt(242) - (-1 + sqrt(242))) - sqrt(242)) + sqrt(242) - -2*((-1 + sqrt(242))**2 - sqrt(242))) + 2 - (1 + 6*(3*(sqrt(242) + 2) + sqrt(242)))**2.
-140272 - 19602*sqrt(2)
Simplify 2 + ((sqrt(13) + sqrt(13)*1 + 0 - (sqrt(637) + 0) - (-2 + 1 + sqrt(208) + 2))*4)**2.
288*sqrt(13) + 16866
Simplify (2 + (-1 + sqrt(800))*-2)**2 + 4*(3 + (sqrt(1800)*2 + sqrt(1800) - sqrt(1800)) + sqrt(1800) + sqrt(1800)).
160*sqrt(2) + 3228
Simplify (((-1*(sqrt(180)*-1 + sqrt(180)) - sqrt(180))/sqrt(4))/(2*4*sqrt(81)/sqrt(9)))**2.
5/64
Simplify (-2*sqrt(1368) + (sqrt(380) - sqrt(380)*-2)/sqrt(10) + (sqrt(342) + (sqrt(342) - 1*sqrt(342) - sqrt(342)))*-2)/((sqrt(16)*-2*-1)/(sqrt(24)/sqrt(3))).
-9*sqrt(19)/2
Simplify (sqrt(1377)*-2*5)**2 + -2 + -4 + ((0 + sqrt(1377)*3 - sqrt(1377))**2 - sqrt(1377) - (0 + (sqrt(1377) - (sqrt(1377) + -3)) + sqrt(1377))**2) + 4.
-63*sqrt(17) + 141820
Simplify (-5*((sqrt(720)*-1*-1 + -4 - -4*(sqrt(720) + (sqrt(720) - (-3 + sqrt(720) + sqrt(720) + -2 + sqrt(720))))) + -1 + -3))**2.
-21600*sqrt(5) + 165600
Simplify (4*(sqrt(1331) + 3)*4 + -1*sqrt(55)/sqrt(5) + 1 + sqrt(11) + -5)**2.
15488*sqrt(11) + 342672
Simplify -3*(3 + sqrt(1100) + 1 + sqrt(1100))*2 + (sqrt(77)/(sqrt(21)/sqrt(3)) + -4 - (sqrt(1100) + sqrt(1100) + 0 + sqrt(1100) + -2*sqrt(176)))**2.
48*sqrt(11) + 4843
Simplify (1*2*1*sqrt(95))/((-2*sqrt(25))/sqrt(5) + -2*sqrt(20)/sqrt(4)).
-sqrt(19)/2
Simplify (-5 + (4*sqrt(187)*2)/sqrt(11) + 0 + ((sqrt(833) - (1 + sqrt(833))) + sqrt(833))*6 + sqrt(85)/(sqrt(560)/sqrt(7)))**2.
-2211*sqrt(17)/2 + 688753/16
Simplify ((-1*sqrt(833) + sqrt(833) + -3)*-4 + (1 + 1 + sqrt(1088))*-2)**2.
-256*sqrt(17) + 4416
Simplify ((sqrt(378)/sqrt(7) + sqrt(6))/(sqrt(36)/(sqrt(24)/sqrt(2))) + ((2*sqrt(140))/sqrt(7))/(2*sqrt(10)*5))*-4.
-84*sqrt(2)/5
Simplify (-1 + sqrt(9)/(sqrt(3)*-2) + (sqrt(3) - (sqrt(3) + sqrt(3)*1*-2)))**2 - (((4*sqrt(24))/sqrt(8))**2 - -1*sqrt(3)*-2).
-161/4 - sqrt(3)
Simplify (sqrt(170) - sqrt(170)*-1*-6)/(sqrt(640)*2)*6 + (-3*sqrt(68)*4 + sqrt(68))/(sqrt(4) + sqrt(8)/sqrt(50)).
-265*sqrt(17)/24
Simplify (-3*((sqrt(891) + sqrt(891) + (sqrt(891) - (sqrt(891) - (2 + sqrt(891)*-1))**2) - sqrt(891)) + -2) + 2)*-6.
-64272 + 1620*sqrt(11)
Simplify ((sqrt(119) - -2*(sqrt(119) - sqrt(119)*-2) - sqrt(119) - (sqrt(119)*-1*-6 - sqrt(119) - sqrt(119)))/(1*sqrt(1008) + -3*sqrt(7)*1) + -4)*-3.
-2*sqrt(17)/3 + 12
Simplify ((-2*((sqrt(91) - sqrt(91)*-6) + sqrt(91))*2*2)/(-1*(sqrt(700) + (sqrt(700) + (1*sqrt(700) - sqrt(700)))*3)))**2.
832/25
Simplify (-6*(sqrt(1053) + -2*(1 + sqrt(1053))) + -4 - (2*sqrt(1053)*-2*-4 + -2))**2.
-1800*sqrt(13) + 105400
Simplify (1*-5*sqrt(5)*2 + 4)**2 - (-4 + (sqrt(60)/sqrt(12)*-6)**2 + -3).
-80*sqrt(5) + 343
Simplify ((0 + 2 + sqrt(700) - (-2*sqrt(700) + 2)) + (0 + -1 + sqrt(700) - (sqrt(700) + 4*sqrt(700))*2))**2.
120*sqrt(7) + 25201
Simplify -5 + ((-4 + sqrt(2736) + 1 + sqrt(2736))**2 + sqrt(2736)*-2 + sqrt(2736) + -3 - ((2 + -3*sqrt(2736))**2 - ((sqrt(2736)*-2 + sqrt(2736))*-1)**2)).
-10947 - 12*sqrt(19)
Simplify -5*-3*-1*sqrt(147)*-1 + (3*-2*(sqrt(147) + sqrt(147) + 2 + 5 - sqrt(147)))**2 + 2.
3633*sqrt(3) + 7058
Simplify (-3*sqrt(832) + sqrt(832) + 5)**2*2 - (-1 + -3 + sqrt(52)/sqrt(4) + (-2*sqrt(156))/sqrt(12)).
-319*sqrt(13) + 6710
Simplify -5 + ((-1*sqrt(66)*-5 - sqrt(66)) + sqrt(66) + (sqrt(66) + 1*sqrt(66))*-3)/(-6*(sqrt(6) - (sqrt(24) + sqrt(24)*3))).
-5 - sqrt(11)/42
Simplify -4 + (sqrt(10)/(sqrt(20)/(sqrt(40)/sqrt(4))) + -5)**2 + sqrt(180)/sqrt(144) + sqrt(20) + (sqrt(20) - sqrt(80)*-6).
26 + 37*sqrt(5)/2
Simplify -5 + ((-5 + (sqrt(99) - sqrt(99)*-1) + 2 + (sqrt(99) - (sqrt(99) + -1 + sqrt(99)))*6)**2 - (5 + (sqrt(99) + (sqrt(99) - -1*sqrt(99))*3)*-3)**2).
-42096 + 558*sqrt(11)
Simplify (sqrt(4900) - (sqrt(4900) + sqrt(4900)*3*-4 + sqrt(4900)))/((-4*2*sqrt(84))/sqrt(12))*-2.
55*sqrt(7)/2
Simplify -2*(((-1*(sqrt(200) - 2*sqrt(200)))/sqrt(10))/(6*(sqrt(800) - sqrt(50) - sqrt(50))/sqrt(5)))**2.
-1/36
Simplify ((sqrt(1368) + sqrt(1368) + 1*sqrt(1368)*-4)/(5*1*sqrt(18)))**2*-5*-3.
912/5
Simplify (5*((5*(sqrt(605) + 1 - sqrt(605)) - 6*(sqrt(605) - -1*sqrt(605) - sqrt(605)) - (sqrt(605) + -4*(sqrt(605) + 1) + -1)) + 2))**2.
-19800*sqrt(5) + 139725
Simplify (6*((sqrt(360) - (2*sqrt(360)*5 + sqrt(360))) + sqrt(360) + sqrt(360)))/(2*sqrt(968) + sqrt(8) + sqrt(32)/sqrt(64)).
-192*sqrt(5)/31
Simplify (5*(sqrt(66) + -1*sqrt(66)))/(sqrt(66)/(sqrt(11) + sqrt(176))) - (((sqrt(11) - sqrt(539))*6 + sqrt(11) - sqrt(11)) + 1 + -4)**2.
-14265 - 216*sqrt(11)
Simplify ((4 + (sqrt(396)/(-5*sqrt(9)))/sqrt(4) + (sqrt(5324)*-2)/sqrt(4))*3)**2.
-7992*sqrt(11)/5 + 1223379/25
Simplify (((sqrt(162) - (sqrt(162) + 3 + 3 + sqrt(162)))*1 + (sqrt(162) + -4*sqrt(162))*-4 + -4 + -5)*-1)**2.
-2970*sqrt(2) + 19827
Simplify 3 + (-4 + -1*sqrt(1100)*-3 + (sqrt(1100) + -2*sqrt(1100))*-5)**2*1 + -2.
-640*sqrt(11) + 70417
Simplify ((sqrt(216)/((sqrt(48) + sqrt(3888))/sqrt(4)))/(sqrt(270)/sqrt(5)*4))**2.
1/4800
Simplify (4*-2*sqrt(2904) + (sqrt(2904) - -1*sqrt(2904)*4))/(sqrt(8) + sqrt(8) + 3*sqrt(288) + sqrt(80)/(-3*sqrt(10) - sqrt(10)) + sqrt(8)).
-132*sqrt(3)/83
Simplify ((4*sqrt(875))/((2*sqrt(125) - sqrt(125)) + sqrt(125) + sqrt(125))*4)**2*-2.
-3584/9
Simplify sqrt(288)*-5*5 + (4 + 5 + (sqrt(8) - sqrt(8)*2))**2.
-336*sqrt(2) + 89
Simplify (sqrt(4752) + sqrt(4752)*4 - sqrt(231)/(sqrt(21)/sqrt(3)))/(2*sqrt(891)*2 + 1*sqrt(891)*6).
59*sqrt(3)/90
Simplify 5*((sqrt(66) + (sqrt(66)*-1 - sqrt(66)))*-5 + sqrt(66) + sqrt(66) + sqrt(66) + sqrt(66)*-2*3)/(sqrt(24)/((sqrt(120)/sqrt(3) + sqrt(40))/sqrt(10))).
20*sqrt(11)
Simplify (-2*-4*sqrt(88) - (sqrt(88) - (sqrt(88) + sqrt(88) + (-4*sqrt(88) - sqrt(88)))*6))/((1*sqrt(576) + sqrt(576))/(sqrt(2) - (-1*sqrt(72) + sqrt(72)))).
-11*sqrt(11)/12
Simplify ((-1*sqrt(72)*-1 - sqrt(72)*-2*-1)*2 + -5 + (4*(0 + sqrt(72)) - (sqrt(72) + (sqrt(72) - (4 + sqrt(72) + -1)))))**2.
-24*sqrt(2) + 76
Simplify ((4*sqrt(280)/sqrt(112)*4)/(-5*(sqrt(32) + 1*sqrt(3872))))**2.
1/180
Simplify -2 + (sqrt(196)/(3*sqrt(7)) + sqrt(700) + sqrt(700)*-3)/(sqrt(40)/(-1*sqrt(10)) - ((sqrt(32) - (sqrt(32) - sqrt(32)*-1))/sqrt(8) + sqrt(4))).
-2 + 29*sqrt(7)/3
Simplify (-2*1*sqrt(78) + (sqrt(78) + (sqrt(78) - -2*sqrt(78)) - sqrt(78))*-1)/(sqrt(150)*3*-2*1).
sqrt(13)/6
Simplify (sqrt(56)/sqrt(2) + sqrt(7) - (sqrt(7) + ((sqrt(252))**2*4 - sqrt(7)))) + (-5 + -3*sqrt(63)/sqrt(9))*1.
-1013
Simplify ((sqrt(84)*5)/sqrt(6)*6)/(sqrt(7) + sqrt(56)/sqrt(72) - sqrt(14)/(1*sqrt(2))).
90*sqrt(2)
Simplify ((-2*(((0 + sqrt(1584))*-5 - (sqrt(1584) + 4 + -1 + sqrt(1584))) + 1))**2 + 5)*1.
1344*sqrt(11) + 310485
Simplify 5*(sqrt(2178) + 1*sqrt(2178) + sqrt(2178) + sqrt(2178) + (-4*sqrt(1800) - sqrt(1800)))/(sqrt(225)*3 + (sqrt(9) + sqrt(27)/sqrt(3))*6).
-10*sqrt(2)/9
Simplify -1 + (-2 + -6*-6*(sqrt(425) + -4))**2*1.
-52560*sqrt(17) + 572115
Simplify (((sqrt(405) - sqrt(405)*4*1) + sqrt(405))*-4)/(sqrt(18)/(sqrt(10)/sqrt(500))).
12*sqrt(5)/5
Simplify (-6*(2*(3*sqrt(187) - sqrt(187)) + sqrt(187))/(sqrt(11) + sqrt(396)*2)*-5)**2.
382500/169
Simplify -3*sqrt(684)*-6 + -1 + (4 + 5 + (sqrt(1539) - (sqrt(1539) + 0)))**2.
80 + 108*sqrt(19)
Simplify (0 + (-1*(sqrt(114)*-1 - sqrt(114)) + sqrt(114) + -6*sqrt(114)*1 + sqrt(114))/((sqrt(486) - (sqrt(486) + -2*sqrt(486)))*5 - 2*sqrt(486)*2))**2.
19/729
Simplify 5*1*5*(sqrt(209)/(sqrt(11)*-3) - (sqrt(19) - 5*(-2 + sqrt(19))))**2*2.
-11000*sqrt(19)/3 + 159950/9
Simplify 2 + (2*(sqrt(84) + sqrt(84)*-2*-4))/((sqrt(72) + -6*sqrt(72)*1)/sqrt(6)).
-18*sqrt(7)/5 + 2
Simplify (sqrt(330)/sqrt(864) - sqrt(495)/sqrt(1089))/(6*(sqrt(5) - sqrt(40)/sqrt(8)) + sqrt(30)/sqrt(6)*-1).
sqrt(11)/132
Simplify ((sqrt(1053) - (sqrt(1053)*1 + 2)) + sqrt(1053) - (sqrt(1053)*1 + 2) - 1*(-5 + -2*sqrt(468)*3))**2.
72*sqrt(13) + 16849
Simplify (-1 + ((-1 + sqrt(3) + sqrt(3))*-1 + sqrt(3) - (-1 + sqrt(3)*2)**2) + -4*(sqrt(3) + sqrt(24)/(sqrt(32)/sqrt(4)))*-4)*-1.
-35*sqrt(3) + 13
Simplify ((sqrt(11) + -5 + sqrt(44) + 3)**2 - 6*(-2 + 2*sqrt(11))) + ((2*sqrt(99)*-3)/((-3*sqrt(108) + sqrt(108))/sqrt(12) - sqrt(9)))**2.
-24*sqrt(11) + 159
Simplify (((sqrt(114) + -2*sqrt(114))*2 - sqrt(114))/((-1*sqrt(72))/sqrt(12) - sqrt(6) -
|
{
"pile_set_name": "DM Mathematics"
}
|
**3.
84*m**3
Collect the terms in -400*z**3 - 2 - 1249*z**3 - 574*z**3 + 2.
-2223*z**3
Collect the terms in 1774*g**3 + 1768*g**3 + 1614*g**3 - 5272*g**3.
-116*g**3
Collect the terms in -11799*q + 43467*q + 164825*q.
196493*q
Collect the terms in -41859*f**3 - 328*f**3 - 6131*f**3.
-48318*f**3
Collect the terms in -1382*q**3 - 28889*q - q**2 + 28893*q - 259*q**3.
-1641*q**3 - q**2 + 4*q
Collect the terms in -6*t + 48478*t**2 - 11*t**3 - 11 - 48478*t**2 + 11.
-11*t**3 - 6*t
Collect the terms in 393*z - 251*z + 20864140 - 20864140.
142*z
Collect the terms in 59 + 2*f**2 + 59 - 278 + 68 + 62.
2*f**2 - 30
Collect the terms in -1293 + g**2 + 9872*g + 1293.
g**2 + 9872*g
Collect the terms in 49*v - 2387537 + 4772138 - v**3 - 2384601.
-v**3 + 49*v
Collect the terms in 1724251 - 4*z**2 - 3448460 + 1724209.
-4*z**2
Collect the terms in -3763*a**2 + 17*a + 15*a - 3736*a**2 + 7561*a**2 - 32*a.
62*a**2
Collect the terms in 5*c**3 - 123*c**3 - 69*c**3 + 13*c**3 - c**3 - 67*c**3.
-242*c**3
Collect the terms in -14425*t**3 - 7256*t**3 + 1906*t**3.
-19775*t**3
Collect the terms in -272*f**2 - 266*f**2 + 38*f**3 + 538*f**2 + 222*f - 39*f**3.
-f**3 + 222*f
Collect the terms in -9258*i + 3072*i + 3119*i + 3070*i.
3*i
Collect the terms in -5828*h + 46224*h - 8685*h.
31711*h
Collect the terms in 128*o - o**3 - 17*o**2 - 80*o - 68*o.
-o**3 - 17*o**2 - 20*o
Collect the terms in -1843713*g**3 - 20*g**2 - 10*g**2 + 1843716*g**3.
3*g**3 - 30*g**2
Collect the terms in -51877*c**3 - 6169*c**3 - 17278*c**3.
-75324*c**3
Collect the terms in 4354*b - 879*b + 769*b + 1871*b + 600*b.
6715*b
Collect the terms in -2106576*x + 4076183*x - 1969606*x.
x
Collect the terms in -3*m + 2198143 + 2*m + m + 3*m - 2198207.
3*m - 64
Collect the terms in -7*j**2 + 42249*j**3 + 7*j**2 + 2*j - 42267*j**3.
-18*j**3 + 2*j
Collect the terms in 12*k**3 + 6 - 1124*k**2 + 41551*k**2 - 4 - 10*k**3.
2*k**3 + 40427*k**2 + 2
Collect the terms in -73890 + 1782837*b + 73890.
1782837*b
Collect the terms in 15*w**2 + 0*w**2 + 15*w**2 + 4*w**2 + 10*w**2 + 17*w**2 - 38*w**2.
23*w**2
Collect the terms in -47 + 22 + 12101*x**2 - 2*x**3 + 20.
-2*x**3 + 12101*x**2 - 5
Collect the terms in 15948*t**2 - 8000*t**2 + 16399*t - 16399*t - 7973*t**2.
-25*t**2
Collect the terms in -168*s + 76*s + 414 + 35 + 91*s.
-s + 449
Collect the terms in 17494 - 52534 - 2604*r + 17524 + 17516.
-2604*r
Collect the terms in 1 + 31*n**2 - 29*n**2 - 29 + 13*n - 13*n.
2*n**2 - 28
Collect the terms in -15*n + 784622*n**3 + 18*n - 783310*n**3.
1312*n**3 + 3*n
Collect the terms in -1077 - 38*f + 1077 + 49*f - 7*f - 25*f.
-21*f
Collect the terms in -895*b + 1612*b - 948*b + 80 + 1443*b + 1723*b.
2935*b + 80
Collect the terms in -141 - 828901*k**3 + 1657793*k**3 - 828888*k**3.
4*k**3 - 141
Collect the terms in 37*q**3 - 255*q**3 + 117*q**2 + 25*q**2 + 33*q**2 + 17*q**2.
-218*q**3 + 192*q**2
Collect the terms in -t**3 - 29905018 + 9*t**2 + 10*t**3 + 29905018 - t**2.
9*t**3 + 8*t**2
Collect the terms in 158*j + 723*j + 1125*j + 813*j + 167*j.
2986*j
Collect the terms in 11309633*o**3 - 3 + 3 - 11309735*o**3.
-102*o**3
Collect the terms in -105 - 113 - 156 - 108 + f + 465.
f - 17
Collect the terms in 7596273 + 7596266 - 15192532 - 2*m.
-2*m + 7
Collect the terms in -42*z**3 + 2925*z**3 + 267594*z - 267594*z.
2883*z**3
Collect the terms in -16*n + 0*n + 11*n + 11958 + 3*n.
-2*n + 11958
Collect the terms in -6151*r**2 + 12620*r**2 - 6482*r**2.
-13*r**2
Collect the terms in 2071 + 2073 - 6244 + m + 2102.
m + 2
Collect the terms in -162252*s + 2*s**2 + 324582*s - 5*s**2 + 4*s**2 - 162330*s.
s**2
Collect the terms in -697*s - 6 - 2 + 201*s - 222*s + 2.
-718*s - 6
Collect the terms in -5416*s**3 + 1522*s**3 + 2320*s**3 + 1529*s**3.
-45*s**3
Collect the terms in -1870*v**3 - 1160*v**3 - 2156*v**3.
-5186*v**3
Collect the terms in -10871*q + 3586*q + 7255*q.
-30*q
Collect the terms in 88*j**3 + 1786*j**2 + 29*j**3 + 1776*j**2 - 3510*j**2.
117*j**3 + 52*j**2
Collect the terms in -2531650*o - 2531682*o + 17*o**3 + 5063332*o.
17*o**3
Collect the terms in -69*b**3 - 153*b**3 - 156*b**3.
-378*b**3
Collect the terms in 0 + 87*i**3 + 18543*i - 18552*i - 5.
87*i**3 - 9*i - 5
Collect the terms in -2191691 + 1095844 + 1113*o - 1144*o + 1095845.
-31*o - 2
Collect the terms in -13396*o**3 + 13452*o**3 + 58*o**2 - 122*o**2 - 2 + 64*o**2.
56*o**3 - 2
Collect the terms in 4050*y - 91 + 192 - 101.
4050*y
Collect the terms in 99*y**3 + 5335 - 2666 - 2671 + 13*y**3.
112*y**3 - 2
Collect the terms in 7*m - 11*m + 17*m + 2057*m**2 - 13*m.
2057*m**2
Collect the terms in 53*r**2 + 18*r**2 + 82*r**2 + 5*r**2 - 298*r**2 + 6*r**2.
-134*r**2
Collect the terms in -634 + 151 - g**2 - 10*g**2 + 147 + 190 + 152.
-11*g**2 + 6
Collect the terms in -196*u**3 - 653 + 1306 - 653 - 824*u**3.
-1020*u**3
Collect the terms in 377*k**2 - 1774*k**2 + 367*k**2 + 359*k**2 + 182*k**2 + 187*k**2.
-302*k**2
Collect the terms in 1678 + 0*a**2 + 2*a**2 + 14267 - 17624 + 1679.
2*a**2
Collect the terms in -22126*r**2 - 40743*r**2 - 3166*r**2.
-66035*r**2
Collect the terms in 7*t**3 + 7557 - 3743 - 3809.
7*t**3 + 5
Collect the terms in 3990325*x - 7406065*x - 13253888*x.
-16669628*x
Collect the terms in -34*v + 1776*v**2 - 35*v - 31*v + 132*v - 32*v.
1776*v**2
Collect the terms in -26*s**3 - 114*s**3 + 142*s**3 - 92*s**2.
2*s**3 - 92*s**2
Collect the terms in 103431*y - 103431*y - 8032*y**3.
-8032*y**3
Collect the terms in -508*y**2 + 5*y**3 + 1611*y**2 + 6534*y**2.
5*y**3 + 7637*y**2
Collect the terms in -7*p**3 + 6*p**3 - 18*p**3 + 4699*p - 2294*p - 2405*p.
-19*p**3
Collect the terms in 1 + 17*h**2 - 186*h**2 + 40*h**2 + 61*h**2 + 1 - 3.
-68*h**2 - 1
Collect the terms in 17495 - 2935 - 2*h + 32033 + 30600 - 7706.
-2*h + 69487
Collect the terms in 872*d**2 - 1348*d**2 - 6420*d**2.
-6896*d**2
Collect the terms in -1045886 + 1045886 - 9*g**2 + 12*g**2.
3*g**2
Collect the terms in 86838*j**2 + 85633*j**2 + 30058*j**2 - 60316*j**2.
142213*j**2
Collect the terms in 5*k - 8*k + 7*k + 58*k**2 + 8*k**2 - 59*k**2.
7*k**2 + 4*k
Collect the terms in 6*y**3 - 672140*y**2 + 672133*y**2 + 26*y**3.
32*y**3 - 7*y**2
Collect the terms in -35*w - 42*w - 36*w - 35*w - 38*w - 33*w + 204*w.
-15*w
Collect the terms in 18*t - 14*t + t + 10*t - 19*t - 5*t.
-9*t
Collect the terms in 53486 - 26*l + 53433 + 53477 - 160394.
-26*l + 2
Collect the terms in -669 - 143 - d**2 + 707.
-d**2 - 105
Collect the terms in 114180*z**3 + z + 2*z**2 + 96116*z**3 - 3*z.
210296*z**3 + 2*z**2 - 2*z
Collect the terms in -394*b**2 + 16942*b**2 + 1375*b**2.
17923*b**2
Collect the terms in -17*m - 56 + 30*m + 113 - 47 - 49 + 39.
13*m
Collect the terms in -9*a**2 + 133415311788 - 133415311788.
-9*a**2
Collect the terms in 12959*v - 9*v**3 + 5*v**3 - 6485*v - 6486*v - 6*v**3.
-10*v**3 - 12*v
Collect the terms in -8145*t**3 - 7742*t**3 - 642*t + 15888*t**3.
t**3 - 642*t
Collect the terms in -9663*c**2 - 8271*c**2 - 26183*c**2.
-44117*c**2
Collect the terms in -11 + 1 - 15 - 2 + 494503*i.
494503*i - 27
Collect the terms in -1562 + 8354*l - 1514 + 3076.
8354*l
Collect the terms in 38*w**3 - w**2 + 33710*w - 33710*w - 85*w**3 + 76*w**3.
29*w**3 - w**2
Collect the terms in 11040 - 3*j + j - 11049 + j - 3*j.
-4*j - 9
Collect the terms in 1430 - 1422 - 71941*b - 41163*b + 14368*b.
-98736*b + 8
Collect the terms in -98 - 19942*w + 9984*w + 9911*w.
-47*w - 98
Collect the terms in 227*x + 245*x - 802*x + 292*x.
-38*x
Collect the terms in -290321520*a**2 + 8*a + 0*a + 145160773*a**2 + 145160751*a**2 - 8*a.
4*a**2
Collect the terms in -79*b + 18*b + 20*b + 22*b + 28*b - 10*b + 77.
-b + 77
Collect the terms in 20704*p**2 + 3*p + 53945*p**2 - 142097*p**2 - 3*p.
-67448*p**2
Collect the terms in -222409 - 291*v**2 + 222409 + 292*v**2.
v**2
Collect the terms in -552 - 551 - 487 - 12*d**2 + 1590.
-12*d**2
Collect the terms in 2389*p + 2720*p + 2388*p - 7551*p.
-54*p
Collect the terms in -14*a + 154*a**2 - 43 + 13 + 30 - 312*a**2 + 159*a**2.
a**2 - 14*a
Collect the terms in 7 - 12*v - 2 + 5*v + 6*v + 57 + 23.
-v + 85
Collect the terms in 10201*w - 4507*w - 4854*w.
840*w
Collect the terms in -2733*b + 5313*b - 2553*b.
27*b
Collect the terms in -512891125917*l + 20*l**3 + 512891125917*l - 7*l**3.
13*l**3
Collect the terms in 7761 - 374 - i - 7398.
-i - 11
Collect the
|
{
"pile_set_name": "DM Mathematics"
}
|
xpand (5*l**3 - l**3 - 3*l**3)*(-3*l**2 + 4*l**2 + 0*l**2) + l**5 - l**5 - 2*l**5 - 2*l**2 + 2*l**2 - 2*l**5 + (2*l + 0*l - 4*l)*(4*l**4 - 4*l**4 - 2*l**4).
l**5
Expand (-1 - 3 + 1)*(x + 4*x**3 + 5*x**3 - 4*x**3).
-15*x**3 - 3*x
Expand (-2*u**2 + 3*u**2 - 2*u**2)*(-14 + 46 + 42).
-74*u**2
Expand (0*a**2 + 0*a**2 - 2*a**2)*(5*a**3 - 22 + 22) + (2*a - a + 0*a)*(a**4 - a**4 - a**4) + 3*a**5 - 5*a**5 + 0*a**5.
-13*a**5
Expand (-11*f**3 - 14*f + 14*f)*(-2*f**2 + 0 + 0) - f**5 - 1 + 2*f**5 + 0*f**5.
23*f**5 - 1
Expand (2*z + z + 0*z)*(4 - 2 - 6)*(-z**3 - z**3 - z**3).
36*z**4
Expand (0 + 2 + 0)*(0*d + 6*d - 3*d)*(0*d**4 - 5*d**4 + 2*d**4).
-18*d**5
Expand 11*i**3 - 5*i + 5*i**3 - 20*i**3 + (i**2 + 2*i**2 - i**2)*(-2*i + 2*i - 2*i).
-8*i**3 - 5*i
Expand (0*j + 0*j + j)*(3 + 7 + 1 + 0).
11*j
Expand (-12*c - c + c)*(0 + 4 - 2) + (2*c - 2*c + 2*c)*(-1 + 2 + 1).
-20*c
Expand (2 - 2 - 6*u**2 + u)*(-5 + 4 + 5).
-24*u**2 + 4*u
Expand (0*f + 0*f - 2*f)*(-4*f**2 - f**3 + 4*f**2) + (2 - 2 - 2*f)*(-3*f**3 + 4*f**3 - 2*f**3) - 4*f**4 + 7*f**4 + f**4.
8*f**4
Expand (10*n**4 + 3*n**3 - 12*n**4 + 4*n**3)*(0 + 4 - 1).
-6*n**4 + 21*n**3
Expand (i - 4 - 5*i + 3*i)*(i**3 - 5*i**2 + 5*i**2) - 2*i**3 + 2*i**3 - 9*i**4.
-10*i**4 - 4*i**3
Expand -23 + 23 - 3*k**5 - 4*k - 2*k**5 + 4*k + (4*k**3 + k**3 - 2*k**3)*(0*k + 0*k - 2*k**2).
-11*k**5
Expand (-4*l**3 + 2*l**3 - l**3)*(-3*l**2 + 3*l**2 - l**2) - 2*l**4 + 2*l**5 - 2*l**4 - 3*l**5.
2*l**5 - 4*l**4
Expand (-4*u + 3 + 6*u + 0*u)*(-4 + 1 + 0).
-6*u - 9
Expand (-5 + 5 - 7*a)*(a + 2*a + a).
-28*a**2
Expand (-7 + 21 - 8)*(2*b + 2 - 2)*(3 - 2 + 2).
36*b
Expand (-2*d + d - 5 + 3)*((4*d - 2*d - 3*d)*(-2 + 1 + 3) + 2*d + 0*d - d + d + d + 0*d + 2*d - 1 - 5*d - 1).
2*d**2 + 6*d + 4
Expand (-1 + 3 + 0)*(-3 + 5 + 2)*(-3*q - q + q).
-24*q
Expand ((-6*m**3 + m**3 + 3*m**3)*(3 - 1 - 1) + m**2 - m**2 - 2*m**3)*(22*m - 7*m - 6*m).
-36*m**4
Expand (2*p - p + p)*(-1 + 1 + p) + (-11*p + 3*p + 0*p)*(2*p - 4*p + 3*p) + 1 - 1 + p**2.
-5*p**2
Expand (2 + 2*x - 2)*(0 + 4 - 6)*(-11*x - 9*x + 6*x).
56*x**2
Expand (4 - 4 - 5)*(t**3 - 2*t + 2*t)*(0*t + 3*t + 0*t).
-15*t**4
Expand -20 + 20 + 5*a**4 + (0*a**2 + 0*a**2 - a**3)*(3*a - a - a) - 2*a + 2*a + 2*a**4 - 4*a**4 - a**4 + 3*a**4.
4*a**4
Expand (0*w**3 + 3*w**3 - 2*w**3)*(5*w - 5*w - 3*w**2)*(-4 + 2 + 1).
3*w**5
Expand (l**2 + 2*l**3 - l**2)*(-5 + 2 - 2) - 2*l**3 + l**3 - l**3.
-12*l**3
Expand (4*q**4 - q**4 - 5*q**4)*(1 - q - 1) + (-2*q**3 - 4 + 4)*(-q**2 + 0*q**2 - q**2).
6*q**5
Expand (-3*w**2 - 2*w + 2*w)*(-5*w**2 + 4*w**2 + 6*w**2) + w**4 - w**4 + w**4.
-14*w**4
Expand (q**3 - q**3 + 2*q**3)*(2*q + 0*q + 4*q) + (q**2 - 4*q**2 + 2*q**2)*(0*q + 0*q + 2*q**2).
10*q**4
Expand (0*u - 2*u + 4*u)*(-2 - 3 + 3) + 2*u - u - 2*u - 3*u + u + u + (6*u + u + 0*u)*(-2 + 2 - 2).
-20*u
Expand (1 - 3 + 5)*(2*l - 3*l**2 - 2*l).
-9*l**2
Expand (-2*t + 4*t - t + (1 + 1 + 0)*(-3 + 3 - t) - 3*t - t + 6*t)*(0 - 3 + 2).
-t
Expand (5 - 5 - 1)*(-4 + 4 + 2*a)*(a + 2*a - 5*a)*(-a + 14*a - 8*a).
20*a**3
Expand (5*n + 2 - 5*n + 16*n)*(-3 + 3 - n).
-16*n**2 - 2*n
Expand (2*g**2 + 0*g**2 + 0*g**2)*(-5*g + 0*g + g + 3*g**2).
6*g**4 - 8*g**3
Expand (-2*b**2 - 3 + 3)*(2*b + b - b) - b**3 - 2*b + 2*b.
-5*b**3
Expand (-8 - 1 + 7)*(-y**5 + 3*y**5 + 0*y**5).
-4*y**5
Expand 0*i**5 + 0*i**5 - i**5 - i**4 + i**5 - 5*i**5 + 2*i**5 + (0 + 0 - 2*i**5)*(-2 + 4 - 1).
-5*i**5 - i**4
Expand (-6 + 2 + 3)*(4*p - 2*p + 0*p) + 2*p - 3*p + 4*p - 6*p + 4*p + 3*p.
2*p
Expand -141*h + 300*h + 3 - 146*h + (-3 + 3 - 2)*(h + 3*h - 3*h) - h + 4*h - 5*h - 1 + 2*h + 1.
11*h + 3
Expand (3 + 0 - 1)*(-2*d + 2*d + 5*d + (-1 + 3 - 1)*(0*d + 0*d - d) + 3*d + 0*d - d).
12*d
Expand (-2*u - u + u)*(-4*u - 2*u + 7*u).
-2*u**2
Expand (0*x + 2*x - 3*x)*(26 - 49 + 9).
14*x
Expand -c + c - c**2 + (-1 + c + 1)*(-4*c + c + c) - 2*c**2 + 4*c**2 + 0*c**2 + 2*c**2 + 1 - c - 8*c + 8*c.
c**2 - c + 1
Expand 2*d**3 + 3*d**3 - 3*d**3 + (0*d + 0*d - 2*d**2)*(0 + 0 + 2*d) - 2*d**3 - 3*d + 3*d - 3*d**3 + 0*d**3 + d**3 + (4*d**2 - 4*d**2 + 2*d**3)*(-11 + 4 - 3).
-26*d**3
Expand -5*k**2 - k + 0*k - k + 1 + k**2 - 2*k**2 - k**2 + (-3 + k + 3)*(-3*k + k + k).
-8*k**2 - 2*k + 1
Expand (-2 + 1 + 2)*(-5*r + 2*r + 4*r) - 2*r + 3*r - 4*r - 7 + 3*r + 7.
r
Expand (1 + 1 - 17)*(0 + 0 - 3)*(0 + j + 0).
45*j
Expand (-5*b**2 + 3*b**2 + 3*b**2)*(2*b - 4*b + 5*b)*(-2 - 2*b**2 + 2) + b**5 - 2*b**5 + 0*b**5.
-7*b**5
Expand 2*p**3 - 3*p**3 + 3*p**3 + (5*p**2 - 3*p**2 - p**2)*(0*p + 3*p + 0*p).
5*p**3
Expand 0*x**2 + 5*x**2 + x**2 + (-2 + x**2 + 2)*(-3 + 0 + 1) + (-4 + 6 - 3)*(-2*x**2 + 2*x**2 - x**2) - x**2 - 6*x**2 + 5*x**2.
3*x**2
Expand (-7*g + 7*g + 3*g)*(-2*g - 3*g + 6*g)*(-2*g**3 - 2*g**3 + 6*g**3).
6*g**5
Expand 4351 - 4351 - 5*r + 5 - 2*r - 5 + (-2*r - 2 + 2)*(1 - 4 + 4).
-9*r
Expand (10 + 0 - 1 + (-2 + 2 + 1)*(1 - 2 + 0))*(-4*f**2 + 3*f**2 - f**2).
-16*f**2
Expand 0*n**2 + 5*n**2 - 3*n**2 + 2*n**2 + 4*n**2 - 4*n**2 + (-4 + 5 + 1)*(0*n**2 - n**2 - n**2) - 1 + 1 + n**2 - 7*n**2 + 8*n**2 + 18*n**2.
20*n**2
Expand (-u**3 - 5*u**3 + 5*u**3)*(-216 - 6*u + 216) + 0*u**3 + 0*u**3 + u**4.
7*u**4
Expand 23 + 207*r - 3 - 206*r + (0 - 1 - 1)*(5*r - r - 3*r) - 2 - 2*r + 2.
-3*r + 20
Expand (-1 + 6 - 3)*(1 - 1 + 3*p)*(-p + 8 - 8).
-6*p**2
Expand (2*r - 4*r + 4*r)*(0*r**2 - 13*r**2 + 3*r**2)*(-2 + 2*r + 2).
-40*r**4
Expand (3*a**3 + a + a + 0*a)*(0*a + 5*a - 3*a)*(2 - 2 - 1).
-6*a**4 - 4*a**2
Expand (6*q + 4*q - 6*q)*(q + 0 + 0)*(-q - 3*q + 2*q).
-8*q**3
Expand (3*i**4 - i**4 + i**4)*(0 + 0 + 2*i + (-2 - 4 + 4)*(-i + 1 - 1)).
12*i**5
Expand (v + 5*v - 2*v)*(5 + 2 - 1)*(-2 + 2 - 1)*(v + 3*v - 2*v).
-48*v**2
Expand (3*b - 2*b - 2*b)*(2 + 3 + 3)*(5*b - 2*b - 5*b).
16*b**2
Expand (1 - 7*p - 2*p + 4*p)*(0*p**3 - 4*p**3 + 3*p**3).
5*p**4 - p**3
Expand (w + 2*w - w)*(4 - 4 - 1) - 2 + 2 - 2*w + 0*w + 2*w - w + (4*w + 0*w - 2*w)*(-2 + 5 - 2).
-w
Expand 3 + 2*z - 1 - 4*z + (-3*z + z + z)*(-3 + 8 + 3).
-10*z + 2
Expand (-2*w + 0*w + 0*w)*(16 + 4*w**2 - 16) - w**3 - w**3 + 4*w**3 + 4*w**3 + 0*w**3 - 2*w**3.
-4*w**3
Expand (j + 2*j - 4*j)*(j - 27 + 66 + 42).
-j**2 - 81*j
Expand 2 - 104*q**2 - 104*q**2 + 210*q**2 + 12*q + (2 + 0 - 3)*(-2*q**2 - 3*q**2 + 3*q**2).
4*q**2 + 12*q + 2
Expand (6 - 5 - 2)*(t + 0*t - 2*t) - t + 5*t - 2*t.
3*t
Expand (0*g - 3*g + 0*g)*(3*g + 5*g**2 + 3*g**3 - 5*g**2).
-9*g**4 - 9*g**2
Expand (4 - 6 + 1)*(4 + z - 4)*(-z**2 + 3*z**2 - 3*z**2).
z**3
Expand (7*q**4 - 3*q**4 - 3*q**4)*(-4*q + 2*q - 4*q).
-6*q**5
Expand (-1 + 4 - 3 + 273*c)*(2 + 0 + 0).
546*c
Expand -4*w**5 - w**5 + 9*w**5 + (-4*w**3 + 3*w**3 - w**3)*(4*w**2 - 3*w**2 - 2*w**2).
6*w**5
Expand (3 + 0 + 0)*(-x + 0*x + 2*x) - 4*x + x + x.
x
Expand ((2 - 2 + 1)*(0*s + 0*s + s**2) + 98 + 40*s**2 - 98)*(-s + 4 - 4).
-41*s**3
Expand -3*y + 4*y - 2*y + (-1 + 7 - 4)*((0 + 3 - 1)*(3 + 1 - 5) + 40 - 1 - 4)*(2 - 2*y - 2).
-133*y
Expand (43 - 35 - 24)*(-7*o + o + 3*o).
48*o
Expand 12 + 3*c**5 - 13 - 5*c**5 + (c + 0*c + c)*(-2*c**4 + 0*c**3 + 0*c**3) + c**5 - 2*c**5 - 2*c**5.
-9*c**5 - 1
Expand (1 + 3*r**2 - 1)*(3*r + 10*r + 2 - 17*r).
-12*r**3 + 6*r**2
Expand -13*j**3 - 4*j**2 + 4*j**2 + 4*j**2 - 2*j**3 - 4*j**2 + (-j**2 - 2*j**2 + 4*j**2)*(1 - 1 + j) + (3*j + 2 - 2)*(j + j**2 - j).
-11*j**3
Expand (-2*u**3 + 6*u**3 - 3*u**3)*(5 + 1 - 4)*(3 - 5 + 7).
10*u**3
Expand 3 - 7 - 3*z + z + (3 - 3 - 2*z)*(5 - 1 + 0) - 2*z + 4 - 4.
-12*z - 4
Expand (-2*d + 0 + 0)*(-3*d + 2 - 2) + d**2 - 2*d + 2*d + d**2 + d - d + 4*d**2 - 3*d**2 - 3*d**2 + (-2*d + 2*d + d**2)*(-2 + 0 + 6) + d**2 - 4 + 4.
11*d**2
Expand (-1 - 2*j + 1)*(10*j**2 + 4*j - 4*j) + 3*j**3 + 0*j**3 + 6*j**3.
-11*j**3
Expand n**3 - 2*n**3 + 3*n**3 + (0*n**3 - n**3 + 4*n**3)*(-2 + 5 - 2) - 1 - 6*n**3 + 0 + 25*n**3.
24*n**3 - 1
Expand (-2 + 3 + j + 3*j)*(3 - 4 + 2).
4*j + 1
Expand -14*r**2 - 14*r - 19 + 12*r**2 + 17 + (5*r - 5*r - 2*r)*(2*r + 0*r + 0*r) + 0 + 0 - 2*r**2 + 2*r + 2*r**2 - 2*r.
-6*r**2 - 14*r - 2
Expand (5*z - 3*z - 3*z)*(-3*z + 4*z + 0*z) + z**2 - 2*z**2 - z**2 + (2*z + 8*z - 3*z)*(1 - z - 1) + 8 - 6*z**2 - 8.
-16*z**2
Expand (-3*a**3 + 2*a**3 + 6*a**3)*(-4 + 4 - 4 + 2*a).
10*a**4 - 20*a**3
Expand (5 - 5 - 5*k)*(0*k**2 + 2*k**2 - k**2)*(3 - 2*k - 3 + (1 - 1 - 2)*(2*k + 2*k - 2*k) + k + 1 - 1 + 3*k + 3*k - 5*k).
20*k**4
Expand (-1 - j + 1)*(-20 - 4 - 5).
29*j
Expand (-2*n + 4 - 4)*(-
|
{
"pile_set_name": "DM Mathematics"
}
|
(40).
9*sqrt(5)/2
Simplify sqrt(34)/sqrt(800)*-1.
-sqrt(17)/20
Simplify ((0 + (sqrt(448) - (sqrt(448) - ((sqrt(448) - (sqrt(448) - (sqrt(448) + 1) - sqrt(448) - sqrt(448) - sqrt(448))) + sqrt(448)))) + 3)*-1)**2.
320*sqrt(7) + 11216
Simplify (-4*(sqrt(152) + (-2*sqrt(152) - sqrt(152) - sqrt(152)) + sqrt(152)))/((1*sqrt(64))/sqrt(8)).
8*sqrt(19)
Simplify (sqrt(20) - sqrt(40)/sqrt(2))/sqrt(10) + sqrt(2) - (sqrt(8) + 5).
-5 - sqrt(2)
Simplify (3*(sqrt(20) + (sqrt(20) + sqrt(20)*-1 - sqrt(20)) - sqrt(20)))/(sqrt(4)*-2*-3).
-sqrt(5)/2
Simplify (sqrt(1458) + 0)**2 + 4.
1462
Simplify 2*(4 + sqrt(2)) + 5*sqrt(8).
8 + 12*sqrt(2)
Simplify 6*sqrt(5)*-2 - (sqrt(5) - (sqrt(5) - (sqrt(245) + 0))**2).
-13*sqrt(5) + 180
Simplify (-2*2*sqrt(78))/(sqrt(60)/(sqrt(10)*3)).
-12*sqrt(13)
Simplify (sqrt(96)/(sqrt(88)/sqrt(11)))/sqrt(4).
sqrt(3)
Simplify ((-1*sqrt(832) + -1)*-2 + -1)**2.
32*sqrt(13) + 3329
Simplify (5*(sqrt(1053) + 2)*1)**2.
900*sqrt(13) + 26425
Simplify -4*sqrt(44)*1.
-8*sqrt(11)
Simplify sqrt(50)*-2*1*-3.
30*sqrt(2)
Simplify (sqrt(68) - -2*sqrt(68)*3)/(sqrt(108)/sqrt(3)).
7*sqrt(17)/3
Simplify -2*((2*sqrt(15)/sqrt(3))**2 - (((sqrt(5) + 2*sqrt(5) + sqrt(5))*5)**2 - sqrt(5))).
-2*sqrt(5) + 3960
Simplify 5 + sqrt(99)*-2*2 + 4.
-12*sqrt(11) + 9
Simplify 5*(0 + sqrt(272)).
20*sqrt(17)
Simplify sqrt(45)/(-5*sqrt(144)).
-sqrt(5)/20
Simplify (sqrt(128) + 0 + 2 + sqrt(128) + (-1 + sqrt(128))*2)**2.
2048
Simplify (5*sqrt(170)*-3)/sqrt(10).
-15*sqrt(17)
Simplify 2 + sqrt(125) + -3.
-1 + 5*sqrt(5)
Simplify (5 + -1*sqrt(11))*2 + ((sqrt(110)*-2)/sqrt(10) + sqrt(11)*-2*5)**2.
-2*sqrt(11) + 1594
Simplify (2 + (((sqrt(7) - sqrt(14)/sqrt(2)*-3) + sqrt(7))**2 - sqrt(7)))*6.
-6*sqrt(7) + 1062
Simplify (sqrt(540)/sqrt(6))/(sqrt(160)/sqrt(2)).
3*sqrt(2)/4
Simplify (6*(sqrt(1573) + -4))**2.
-3168*sqrt(13) + 57204
Simplify -4 + 2 + 0 + (sqrt(18)/sqrt(6))**2.
1
Simplify (sqrt(704) + (sqrt(704) - (sqrt(704) + -2)*-1))**2 + 0.
-96*sqrt(11) + 6340
Simplify sqrt(209)/(-4*(sqrt(44)/sqrt(4) + sqrt(11))).
-sqrt(19)/8
Simplify (sqrt(84)*2 - sqrt(84) - sqrt(21))/(sqrt(363)*-1).
-sqrt(7)/11
Simplify sqrt(700) + ((sqrt(700) - (sqrt(700) + 2) - sqrt(700))**2 - sqrt(700)) - sqrt(84)/(sqrt(12)*-1 - sqrt(12) - sqrt(12)).
121*sqrt(7)/3 + 704
Simplify sqrt(176)*-3*-1.
12*sqrt(11)
Simplify ((2*sqrt(52))/sqrt(2))/(2*sqrt(32)).
sqrt(13)/4
Simplify sqrt(1088)*-1 + -5 + sqrt(1088) - sqrt(153)/(sqrt(9) - (sqrt(99)/(sqrt(22)/sqrt(2)) - sqrt(9))).
-5 - sqrt(17)
Simplify (sqrt(35)/(2*sqrt(112)))**2.
5/64
Simplify (sqrt(931) + -3 + 1*sqrt(931) - (sqrt(931) + 0)*-3)**2.
-210*sqrt(19) + 23284
Simplify ((sqrt(1300) + sqrt(1300) + 3)*-3)**2.
1080*sqrt(13) + 46881
Simplify (4 + (-2*sqrt(50))/sqrt(10))*2.
-4*sqrt(5) + 8
Simplify (-2 + 2*sqrt(3))*-2.
-4*sqrt(3) + 4
Simplify (-3 + -4 + sqrt(24)/(sqrt(12) - (sqrt(12) + sqrt(12) + sqrt(84)/sqrt(7))))**2.
7*sqrt(2) + 99/2
Simplify (sqrt(228) + -4*-2*sqrt(228))/(sqrt(12) - sqrt(12)*-2*6).
9*sqrt(19)/13
Simplify -4*(1 + sqrt(405) + 2)**2.
-1656 - 216*sqrt(5)
Simplify (6*(sqrt(70) - -1*sqrt(70)) - sqrt(70))/(sqrt(40)*-6 - sqrt(10)).
-11*sqrt(7)/13
Simplify sqrt(171) + -3 + 1 + 1.
-1 + 3*sqrt(19)
Simplify (4*sqrt(14)/sqrt(7) + sqrt(2))**2 + 4.
54
Simplify (-1*((-1*sqrt(136) - sqrt(136)) + sqrt(136)))/(sqrt(80)/(sqrt(30)/sqrt(3))).
sqrt(17)
Simplify ((sqrt(1100) + 1)**2*-3 - sqrt(1100)) + sqrt(1100).
-3303 - 60*sqrt(11)
Simplify 0 + sqrt(637)*-5 + 3.
-35*sqrt(13) + 3
Simplify -6*(0 + sqrt(847) + sqrt(847) - sqrt(847))*-5.
330*sqrt(7)
Simplify ((sqrt(11) - sqrt(22)/sqrt(2)) + 5)**2 - (-2 + sqrt(1100))**2.
-1079 + 40*sqrt(11)
Simplify -6*6*(-1 + sqrt(7)).
-36*sqrt(7) + 36
Simplify -5 + -5 + sqrt(39)/sqrt(3) + 5 + (sqrt(52))**2.
sqrt(13) + 47
Simplify 5*(-1*sqrt(19) + -2 + -1).
-5*sqrt(19) - 15
Simplify 0 + sqrt(6)/(sqrt(8)/sqrt(4)) + (sqrt(3) + -1)**2 + 2.
-sqrt(3) + 6
Simplify sqrt(15)/sqrt(243) + -2.
-2 + sqrt(5)/9
Simplify (3*sqrt(720))/(-6*sqrt(18)/sqrt(2)).
-2*sqrt(5)
Simplify ((3 + 0 + sqrt(19) - sqrt(19)) + (sqrt(38) + sqrt(38)*1)/sqrt(2))**2.
12*sqrt(19) + 85
Simplify (-1 + sqrt(17) + sqrt(68) + -1)**2.
-12*sqrt(17) + 157
Simplify ((sqrt(2695)*1)/(-3*sqrt(45) + sqrt(5)))**2.
539/64
Simplify -4 + (sqrt(152) - sqrt(38))/sqrt(2) + 4 + 2.
2 + sqrt(19)
Simplify sqrt(33)/(sqrt(11) + (sqrt(44) - sqrt(11))) - (1*((sqrt(75) - sqrt(3)) + sqrt(3)))**2.
-75 + sqrt(3)/2
Simplify sqrt(24)/(sqrt(8) - (sqrt(32) + sqrt(8))) + sqrt(450)/sqrt(6).
9*sqrt(3)/2
Simplify -5*(((-2*sqrt(44) - sqrt(44))/sqrt(4))**2 + 1).
-500
Simplify (-2 + sqrt(13))**2*5 + -5.
-20*sqrt(13) + 80
Simplify (2 + sqrt(1584))**2 - (sqrt(396)*1)**2.
48*sqrt(11) + 1192
Simplify (3 + (-1 + -2*sqrt(75) + sqrt(75) - sqrt(75))*-3)**2.
360*sqrt(3) + 2736
Simplify (-5*1*sqrt(20))/sqrt(10).
-5*sqrt(2)
Simplify -5*sqrt(12)*2.
-20*sqrt(3)
Simplify (-1*(((sqrt(84) + -1*sqrt(84))*6)/sqrt(12) + -5))**2.
25
Simplify (5 + 1*sqrt(114)/sqrt(6)*-1)**2.
-10*sqrt(19) + 44
Simplify ((1*sqrt(136)*-4)/(sqrt(16)/sqrt(2)*-4))**2 + -5.
12
Simplify (sqrt(77) - (sqrt(77) - (sqrt(77) + (sqrt(77) + sqrt(77) + (sqrt(77) - sqrt(77)*3*2) + sqrt(77) - sqrt(77))) - sqrt(77)) - sqrt(77))/(sqrt(891)*1).
-2*sqrt(7)/9
Simplify -2 + (-4 + sqrt(10)/sqrt(2))*5.
-22 + 5*sqrt(5)
Simplify ((5*(sqrt(468) - (0 + sqrt(468))) - sqrt(468))*4)**2.
7488
Simplify (2*sqrt(119)/(sqrt(14)/sqrt(2)))**2 + -3.
65
Simplify 2*sqrt(350)/(sqrt(189)/sqrt(3)).
10*sqrt(2)/3
Simplify 3 + (-5 + (sqrt(700) - (0 + sqrt(700)) - sqrt(700)))**2 + -1.
100*sqrt(7) + 727
Simplify (sqrt(539) - (2 + sqrt(539))*5)*-1.
10 + 28*sqrt(11)
Simplify (3 + sqrt(448) + -1 + sqrt(448) + sqrt(448) + sqrt(448))**2.
128*sqrt(7) + 7172
Simplify ((sqrt(231) - -2*sqrt(231))/sqrt(11))/(sqrt(3) - ((sqrt(300)*2 - sqrt(300)) + sqrt(3))).
-3*sqrt(7)/10
Simplify sqrt(833) - ((sqrt(833) - ((sqrt(833) + sqrt(833) + 1)**2 + sqrt(833))) + 3).
35*sqrt(17) + 3330
Simplify -4*(4*sqrt(272) + sqrt(17))*-3.
204*sqrt(17)
Simplify ((sqrt(1764) - -2*sqrt(1764)) + sqrt(1764) - sqrt(1764) - sqrt(36))/(-3*sqrt(48)/sqrt(4))*-5.
100*sqrt(3)/3
Simplify -1*-2*(sqrt(13) + 3 + -1)**2.
8*sqrt(13) + 34
Simplify -5*(0 + sqrt(11)) + 5.
-5*sqrt(11) + 5
Simplify (-6*(2*sqrt(30) + sqrt(30)))/((sqrt(66) - (sqrt(66) - 3*sqrt(66)))/sqrt(11)).
-6*sqrt(5)
Simplify -1 + (-3*sqrt(475) + sqrt(19))**2.
3723
Simplify (sqrt(153) + sqrt(153)*-1 + sqrt(153))**2 - (sqrt(425) - sqrt(17))*-4.
16*sqrt(17) + 153
Simplify ((sqrt(228)*1 + sqrt(228))*4)/((sqrt(144) - (sqrt(144) + -2*sqrt(144) + sqrt(144)))/sqrt(12))*-6.
-48*sqrt(19)
Simplify -1 + 2*sqrt(112).
-1 + 8*sqrt(7)
Simplify -5*((sqrt(11) + -1)*6 + 1 + sqrt(55)/sqrt(5))**2.
-2820 + 350*sqrt(11)
Simplify (sqrt(243) - sqrt(243)*2*-2)**2.
6075
Simplify ((-3*sqrt(126))/sqrt(2))/(5*sqrt(27)/sqrt(3)).
-3*sqrt(7)/5
Simplify -4*sqrt(22)/sqrt(2) + 1 - 2*sqrt(99)*-6.
1 + 32*sqrt(11)
Simplify ((0 + sqrt(180) - sqrt(180)) + 3)**2.
9
Simplify (-4*(sqrt(170) + -2*sqrt(170)) - sqrt(170))/(sqrt(250)*-1).
-3*sqrt(17)/5
Simplify (sqrt(312)/(sqrt(12)*2))/(sqrt(72)*-2).
-sqrt(13)/24
Simplify 1*(6*(sqrt(3)*-1)**2 - (sqrt(27) + -2)**2).
-13 + 12*sqrt(3)
Simplify 5*(sqrt(468) - (-2 + sqrt(468)))*3.
30
Simplify (sqrt(500) + sqrt(500) + sqrt(500) + (sqrt(500) - ((sqrt(500) - sqrt(500)*2) + sqrt(500) + 4 - sqrt(500))) - (3 + sqrt(500)*1))**2.
-560*sqrt(5) + 8049
Simplify sqrt(119)/(-1*sqrt(252)).
-sqrt(17)/6
Simplify ((5*sqrt(99)*-2)/(sqrt(9) + sqrt(36)/sqrt(144)))**2.
39600/49
Simplify sqrt(19) + -1 + -3 - (sqrt(2299) - 3*sqrt(2299)).
-4 + 23*sqrt(19)
Simplify (sqrt(1900) - -3*(sqrt(1900) + (sqrt(1900) + sqrt(1900) + sqrt(1900) + 1 - sqrt(1900))))**2 + -6*(sqrt(19) + (sqrt(19) - sqrt(38)/(1*sqrt(2)))).
594*sqrt(19) + 190009
Simplify sqrt(95)/(-5*1*sqrt(5)).
-sqrt(19)/5
Simplify (sqrt(121) - 3*-1*sqrt(121))/(sqrt(825)/sqrt(3)).
4*sqrt(11)/5
Simplify 2*(-5 + (sqrt(1331) + (-5 + sqrt(1331) + -2 - sqrt(1331) - sqrt(1331)))**2).
88
Simplify sqrt(114)/(sqrt(48)/sqrt(8) + sqrt(6)) + sqrt(152)/sqrt(8)*-6.
-11*sqrt(19)/2
Simplify ((-2 + sqrt(468) + 1)*3)**2 + 2.
-108*sqrt(13) + 4223
Simplify 1 + (sqrt(60)/sqrt(5))**2.
13
Simplify ((-2 + (2*sqrt(114))/sqrt(6) + 0)*-6)**2.
-288*sqrt(19) + 2880
Simplify (-2*(0 + sqrt(125) - sqrt(125)) - (1 + sqrt(125) + -2))**2.
-10*sqrt(5) + 126
Simplify (-1*(sqrt(704) - (sqrt(704) + (sqrt(704)
|
{
"pile_set_name": "DM Mathematics"
}
|
z).
(z - 1)*(z + 1)*(4*z + 1)/6
Let u be (1 - -9)/((-12)/(-18)). What is m in 5*m**3 + 7*m**4 + 9*m**3 - 3*m**2 - 4*m - u*m**2 + 11*m**4 - 10*m**5 = 0?
-1, -1/5, 0, 1, 2
Let g = -17212 + 17214. Let b be (-5)/(-15) + (-2 - -2). Factor 0 + 2/3*f + 4/3*f**3 - 5/3*f**g - b*f**4.
-f*(f - 2)*(f - 1)**2/3
Let k be (-618)/(-8) + (-2)/(-16)*-2. Let s = -39 + k. Let -36*o - 9*o**3 + 13*o + s*o**2 - 21*o - 4 + 12 = 0. What is o?
2/9, 2
Determine v so that -17*v + 1481 + 22*v**3 + 319*v - 164*v**2 - 4*v**4 + 1264 - 2397 - 144*v**3 = 0.
-29, -2, -1, 3/2
Let b(n) be the first derivative of 2704*n**5/5 + 728*n**4 + 212*n**3/3 + 2*n**2 + 6576. Determine f so that b(f) = 0.
-1, -1/26, 0
Let t = -334 - -338. Suppose 4 = t*g - 4*h, -h + 2 = 3*g - 5*h. Factor 4/7*j - 10/7*j**g + 6/7*j**3 + 0 - 2/7*j**5 + 2/7*j**4.
-2*j*(j - 1)**3*(j + 2)/7
Find m, given that 323*m - 20*m**4 + 392*m**2 - 751 + 159*m + 88*m - 723 - 44*m**3 + 2*m**5 + 574 = 0.
-3, 1, 5, 10
Suppose -33*f**2 + 290/3*f + 1/3*f**3 - 64 = 0. What is f?
1, 2, 96
Suppose -14/9*w**5 + 22*w + 4 + 284/9*w**2 - 32/9*w**4 + 104/9*w**3 = 0. What is w?
-3, -1, -2/7, 3
Suppose 3*v + 3*i - 153 = 0, 0 = 5*v + i - 6*i - 265. Let t be 1*(3 - v/16)*-1. Factor -1/4*n**4 + 0 + 5/4*n**2 + t*n**5 - 3/4*n**3 - 1/2*n.
n*(n - 1)**3*(n + 2)/4
Let m be ((-546)/52 - -7)/(14/(-8)). Let 4 + 11*s + 5/2*s**m = 0. What is s?
-4, -2/5
Let m(h) be the third derivative of -h**6/180 + 13*h**5/90 - 10*h**4/9 - 314*h**2. Solve m(v) = 0.
0, 5, 8
Suppose -90*x = -70*x - 100. Suppose 4 = 4*u - 4*a + a, -4*u + 36 = x*a. Factor 4/5*z - 2/5*z**u + 2/5 - 4/5*z**3 + 0*z**2.
-2*(z - 1)*(z + 1)**3/5
Factor 0 - 158/19*v**2 + 156/19*v + 2/19*v**3.
2*v*(v - 78)*(v - 1)/19
Suppose 360 = 5*o + 10*o. What is u in 64 - 37 - 63 - o - 50*u**2 + 5*u**3 - 115*u = 0?
-1, 12
Let s be 5390/9240*(-16)/(-14). Let 0 - 4*x + s*x**2 + 2/3*x**3 = 0. Calculate x.
-3, 0, 2
Suppose 0 = -5*t - 4*p - 473, 467 = -5*t - 3*p + 2*p. Let g = -89 - t. Factor g - b**5 - b + 4*b**4 + 8*b**3 - b**5 - 8*b**2 - 3*b - 2*b**5.
-4*(b - 1)**3*(b + 1)**2
Suppose -2*v - 5*x = -544, -5*v - 2*x + 1360 = -x. Let n = 273 - v. Suppose 1/4*k**3 - n + k**2 - 1/4*k = 0. Calculate k.
-4, -1, 1
Determine z, given that -2 + 4*z**4 - 388*z**3 - 188*z + 76*z**3 - 7*z**5 - 10 + 59*z**5 - 440*z**2 = 0.
-1, -1/13, 3
Let w(v) be the third derivative of -1/40*v**6 + 0 - 1/4*v**5 - 3/8*v**4 + 0*v + 9/2*v**3 - 55*v**2. Factor w(l).
-3*(l - 1)*(l + 3)**2
Factor -83905438 + 3606266*c - 2*c**4 - 7*c**4 - 7810146*c**2 + 14523*c**3 + 1483719475*c - 88442889*c + 551068054.
-3*(c - 538)**3*(3*c + 1)
Suppose -22*o - 80 = -2*o. Let u(m) = 10*m**2 + 57*m + 62. Let j(s) = 12*s**2 + 56*s + 64. Let q(l) = o*u(l) + 3*j(l). Suppose q(b) = 0. What is b?
-14, -1
Let z = 209 - 3341/16. Let r = 119/48 + z. What is u in -4/3*u**5 + r*u**3 + 0*u**2 + 0*u + 4/3*u**4 + 0 = 0?
-1, 0, 2
Let o = 15847/282 - 7430/141. Factor 1/2*z**5 + 0*z - 2*z**2 - o*z**3 - z**4 + 0.
z**2*(z - 4)*(z + 1)**2/2
Suppose 12 = -3*k - 3*h, -7*k - 5*h = 44 - 34. Let n(v) be the second derivative of -1/10*v**k + 42*v + 5*v**3 + 8*v**2 + v**4 + 0. Factor n(d).
-2*(d - 8)*(d + 1)**2
Suppose 9 = 5*a - 21, -v - 6 = -a. Let d(z) be the first derivative of -4 + 1/5*z**5 - 4/3*z**3 + 2*z**2 - 1/4*z**4 + v*z. Factor d(g).
g*(g - 2)*(g - 1)*(g + 2)
Let y(j) = 11*j**2 - 3572*j + 1065644. Let q(b) = -90*b**2 + 28575*b - 8525151. Let x(v) = -4*q(v) - 33*y(v). Factor x(c).
-3*(c - 596)**2
Let y(d) be the second derivative of -7/102*d**4 - 1/34*d**5 - 2/51*d**3 + 36*d + 0 + 0*d**2. Find a such that y(a) = 0.
-1, -2/5, 0
Let j(t) be the second derivative of t**6/36 + 34*t**5/45 + 217*t**4/36 - 98*t**3/9 - 57*t**2/2 - 60*t. Let x(f) be the first derivative of j(f). Factor x(m).
2*(m + 7)**2*(5*m - 2)/3
Let o(m) be the first derivative of 17*m**4/6 + 40*m**3/9 + m**2 - 2058. What is a in o(a) = 0?
-1, -3/17, 0
Let k be 10/50*10 + (0 - 0). Factor 8636*j**k - 12*j - 20 - 8641*j**2 - 8*j.
-5*(j + 2)**2
Let r = 791 - 783. Let s be (25/30)/(1 + 2/r). Factor -8/3*b**3 - 8/3*b + 4*b**2 + s + 2/3*b**4.
2*(b - 1)**4/3
Let w(l) be the second derivative of -l**4/21 + 776*l**3/3 - 526904*l**2 - 18*l + 27. Factor w(i).
-4*(i - 1358)**2/7
Suppose -x + 48 = -36. Let z = 87 - x. Find t, given that -1/5*t**4 + 4/5*t + 3/5*t**2 - 4/5 - 2/5*t**z = 0.
-2, 1
Let w(o) be the first derivative of 60*o + 4/5*o**5 + 0*o**3 - 6*o**4 - 158 + 44*o**2. Factor w(g).
4*(g - 5)*(g - 3)*(g + 1)**2
Let q(k) be the second derivative of k**4/108 + 4*k**3 + 648*k**2 - 34*k - 16. Find r such that q(r) = 0.
-108
Let q(p) be the third derivative of -p**6/1500 - 11*p**5/375 + 79*p**4/300 + 4*p**3/3 - 3077*p**2. Factor q(r).
-2*(r - 4)*(r + 1)*(r + 25)/25
Solve -10512 + 1070173*z**2 - 1071317*z**2 + 2193*z + 4*z**3 - 9165*z = 0 for z.
-3, 292
Let j(n) be the second derivative of 5*n**4/12 - 5*n**3/3 - 560*n**2 - 55*n + 14. Solve j(v) = 0.
-14, 16
Suppose -60 = -14*q + 8*q. Let n be 11/4 + q/40. Factor 2/3*j**2 + 0 - 1/3*j**n + 0*j.
-j**2*(j - 2)/3
Let n be 68/6 + 69/(-207). Factor 0*l**2 + 0*l**2 - 12*l**2 + 3*l**2 + 2*l + n*l**2.
2*l*(l + 1)
Let r(m) be the third derivative of 0*m**7 - 1/504*m**8 + 0*m**3 - 1/36*m**4 + 0*m**5 + 1/90*m**6 + 0*m + 0 - 76*m**2. Factor r(k).
-2*k*(k - 1)**2*(k + 1)**2/3
Suppose h - 15 = -3*i, 5*h - 15 = -i + 6*i. Suppose 0 = -c - 2*y - h, -5*y - 41 = c - 5*c. Factor 30*z**3 + 623*z**c + 1 - 618*z**4 - 1 + 45*z**2.
5*z**2*(z + 3)**2
Find v, given that 3*v**2 - 15*v**2 + 8*v + 0 + 507*v**4 - 255*v**4 + 10 - 8*v**3 - 250*v**4 = 0.
-1, 1, 5
Find y such that -48/23*y**2 + 0 - 2/23*y**3 - 126/23*y = 0.
-21, -3, 0
Let x = 211 + 29. Suppose 9*u = x + 39. Let 1 + 30*h**5 + 17*h**2 + u*h**2 - 57*h**4 - 12*h - 27*h**3 - 1 = 0. Calculate h.
-1, 0, 2/5, 1/2, 2
Let s(g) be the first derivative of -g**5/5 + g**4/4 + g**3/3 + g - 72. Let u(z) = -z**4 + 4*z**3 - 5*z**2 - 2. Let q(h) = -2*s(h) - u(h). Factor q(a).
3*a**2*(a - 1)**2
Suppose 708 + 102*g**2 - 1617/2*g - 3/2*g**3 = 0. What is g?
1, 8, 59
Let p = -553 + 557. Let x = -44 - -685. What is y in 36*y**3 - 14*y**4 - p*y + 609*y**5 + 8*y**2 - x*y**5 + 6*y**4 = 0?
-1, -1/2, 0, 1/4, 1
Let w(x) be the third derivative of 1/21*x**7 + 35/24*x**4 + 0 + 19/48*x**6 + 0*x**3 - 2*x - 85*x**2 - 61/24*x**5. Suppose w(n) = 0. What is n?
-7, 0, 1/4, 2
Let l = 6/319 + -35421/638. Let d = 225/4 + l. Factor -15/4*s**2 + 0 - 3/2*s - d*s**4 - 3*s**3.
-3*s*(s + 1)**2*(s + 2)/4
Factor -90*k**3 + 0 + 1/2*k**5 + 0*k - 31/2*k**4 + 0*k**2.
k**3*(k - 36)*(k + 5)/2
Suppose -212/3*l + 80/3 + 14*l**3 + 110/3*l**2 = 0. What is l?
-4, 2/3, 5/7
Let r = 913 - 897. Let k be (-15)/(-14 - r) + 2/(-20). Factor 0 + 4/5*j + 6/5*j**3 - 2/5*j**4 - k*j**5 + 2*j**2.
-2*j*(j - 2)*(j + 1)**3/5
Let n(h) be the third derivative of h**7/504 + h**6/144 - 5*h**5/4 + 49*h**4/12 - 2*h**2 + 38. Let i(z) be the second derivative of n(z). Factor i(d).
5*(d - 5)*(d + 6)
Let p(d) be the third derivative of d**7/1050 - 3*d**6/200 + d**5/30 + 3*d**4/10 - 28*d**3/15 - 68*d**2 + 4*d - 1. Find a such that p(a) = 0.
-2, 2, 7
Let v(k) be the third derivative of 2*k**7/105 - k**6/15 - 4*k**5/5 + 3*k**4 + 18*k**3 + 7*k**2 + 83*k. What is i in v(i) = 0?
-3, -1, 3
Let -50/11*b**4 + 4698/11*b**2 + 4112/11*b + 1720/11*b**3 + 1184/11 = 0. Calculate b.
-1, -4/5, 37
Suppose 22*d = 53*d. Suppose d = a + 3*h + 13, -4*h + 2 = -4*a - 6*h. Factor 4/3*u + 4/3*u**a + 0.
4*u*(u + 1)/3
Determine u so that 32/3 - 908/3*u**2 - 272/3*u**3 + 44*u**4 - 472/3*u = 0.
-1, 2/33, 4
Let l(r) = 7*r**3 + 73*r**2 + 76*r - 4. Let k(a) = -190*a**3 - 1970*a**2 - 2055*a + 110. Let x(i) = -2*k(i) - 55*l(i). Find m such that x(m) = 0.
-14, -1, 0
Factor 539*b**3 - 522*b**3 + 7*b**2 - 1881*b**3 - 1396*b**3 + b**2.
-4*b**2*(815*b - 2)
Let m be ((-1)/7)/(792/(-924))*4 + 0. Solve 38/3*d - 40/3*d**2 + m*d**3 + 0 = 0.
0, 1, 19
Let q(v) = -8*v - 4. Let l be q(-13). Suppose -b - 4*b + l = 0. Factor -32 - b*n + 25*n**2 + 60 - 24.
(5*n - 2)**2
Let r(l) be the third derivative of l**7/1260 - l**6/30 - l**5/120 + 35*l**4/72 + 4*l**3/3 + 23*l**2 - 5*l + 2. Factor r(q).
(q - 24)*(q - 2)*(q + 1)**2/6
Let h = -260840 + 260842. Determine m, given that -3/4*m - 1/4*m**3 - m**h + 0 = 0.
-3, -1, 0
Let r(u) = u**4 - 18*u**3 + 24*u**2 + 13*u - 45. Let j(z) = z**4 - 17
|
{
"pile_set_name": "DM Mathematics"
}
|
b**2 + 138751*b - 500
What is the g'th term of -38839568, -38839573, -38839578, -38839583, -38839588, -38839593?
-5*g - 38839563
What is the j'th term of 1463, 12016, 40687, 96530, 188599, 325948, 517631, 772702?
1509*j**3 + 5*j**2 - 25*j - 26
What is the r'th term of -669720, -668968, -668216, -667464?
752*r - 670472
What is the m'th term of -1211215, -4844847, -10900901, -19379377?
-1211211*m**2 + m - 5
What is the m'th term of 21383, 42424, 63127, 83492, 103519, 123208, 142559?
-169*m**2 + 21548*m + 4
What is the x'th term of 3446535, 6893065, 10339595, 13786125, 17232655, 20679185?
3446530*x + 5
What is the r'th term of 4864, 10252, 15640, 21028?
5388*r - 524
What is the s'th term of 2843, 5388, 7703, 9782, 11619, 13208, 14543, 15618?
-s**3 - 109*s**2 + 2879*s + 74
What is the j'th term of -114045984, -228091971, -342137958, -456183945?
-114045987*j + 3
What is the s'th term of 72672, 145349, 218026, 290703?
72677*s - 5
What is the u'th term of -58, -410, -1236, -2764, -5222, -8838?
-38*u**3 - 9*u**2 - 59*u + 48
What is the d'th term of -89679, -179246, -268701, -358044, -447275?
56*d**2 - 89735*d
What is the f'th term of 2133804, 4267517, 6401230?
2133713*f + 91
What is the o'th term of -1603665, -6414663, -14432993, -25658655, -40091649?
-1603666*o**2 + 1
What is the d'th term of -138463444, -276926899, -415390354?
-138463455*d + 11
What is the m'th term of 389522, 779130, 1168738, 1558346, 1947954?
389608*m - 86
What is the l'th term of -127193, -254270, -381347, -508424?
-127077*l - 116
What is the o'th term of -42991, -172064, -387185, -688354, -1075571, -1548836, -2108149?
-43024*o**2 - o + 34
What is the t'th term of -3174838, -3174831, -3174824?
7*t - 3174845
What is the n'th term of 454, 689, 738, 595, 254?
-n**3 - 87*n**2 + 503*n + 39
What is the z'th term of 2647, 4308, 5967, 7624, 9279?
-z**2 + 1664*z + 984
What is the d'th term of -21269, -42473, -63675, -84875, -106073?
d**2 - 21207*d - 63
What is the h'th term of 371886, 743678, 1115470?
371792*h + 94
What is the y'th term of -392, -1030, -1892, -2978?
-112*y**2 - 302*y + 22
What is the l'th term of 41666, 43069, 44472, 45875?
1403*l + 40263
What is the j'th term of -335552, -1342213, -3019982, -5368859, -8388844, -12079937, -16442138?
-335554*j**2 + j + 1
What is the k'th term of -97192, -98305, -99418, -100531, -101644, -102757?
-1113*k - 96079
What is the r'th term of -10192010, -10192035, -10192076, -10192133, -10192206, -10192295?
-8*r**2 - r - 10192001
What is the c'th term of 52543, 105164, 157785?
52621*c - 78
What is the m'th term of -5334, -20690, -36044, -51396, -66746, -82094, -97440?
m**2 - 15359*m + 10024
What is the h'th term of -6232252, -12464504, -18696756, -24929008?
-6232252*h
What is the w'th term of -36702, -73148, -109594?
-36446*w - 256
What is the h'th term of 2795568, 2795573, 2795578, 2795583?
5*h + 2795563
What is the i'th term of -1244343, -1244163, -1243983, -1243803?
180*i - 1244523
What is the r'th term of 15301, 15327, 15353?
26*r + 15275
What is the c'th term of -46289, -80598, -114907, -149216, -183525, -217834?
-34309*c - 11980
What is the i'th term of -72875892, -72875896, -72875902, -72875910?
-i**2 - i - 72875890
What is the u'th term of 5196, 41223, 139014, 329451, 643416?
5147*u**3 - 2*u + 51
What is the t'th term of 10527297, 21054602, 31581907, 42109212?
10527305*t - 8
What is the g'th term of -265509, -530856, -796203, -1061550, -1326897, -1592244?
-265347*g - 162
What is the k'th term of 244042, 244094, 244146, 244198, 244250, 244302?
52*k + 243990
What is the x'th term of -2010, -1690, -1386, -1098?
-8*x**2 + 344*x - 2346
What is the a'th term of -2628, -4839, -7084, -9363, -11676, -14023?
-17*a**2 - 2160*a - 451
What is the i'th term of -69314, -73368, -77422, -81476, -85530, -89584?
-4054*i - 65260
What is the m'th term of 36588275, 36588272, 36588269, 36588266?
-3*m + 36588278
What is the a'th term of 2520937, 5041862, 7562787, 10083712, 12604637, 15125562?
2520925*a + 12
What is the o'th term of 442279, 442217, 442155?
-62*o + 442341
What is the p'th term of 1696339, 3392393, 5088433, 6784453, 8480447, 10176409, 11872333?
-p**3 - p**2 + 1696064*p + 277
What is the q'th term of -34365, -34579, -34935, -35433?
-71*q**2 - q - 34293
What is the q'th term of 2363, 2616, 3133, 3992, 5271, 7048, 9401, 12408?
13*q**3 + 54*q**2 + 2296
What is the l'th term of -54204, -108376, -162486, -216498, -270376, -324084?
6*l**3 - 5*l**2 - 54199*l - 6
What is the f'th term of -162, -1217, -2994, -5499, -8738, -12717?
-f**3 - 355*f**2 + 17*f + 177
What is the w'th term of -726841, -1453697, -2180553, -2907409, -3634265?
-726856*w + 15
What is the i'th term of 340, 1394, 3146, 5602, 8768, 12650, 17254?
i**3 + 343*i**2 + 18*i - 22
What is the p'th term of -345, 222, 1135, 2394, 3999, 5950, 8247?
173*p**2 + 48*p - 566
What is the g'th term of -219831757, -439663514, -659495271, -879327028, -1099158785?
-219831757*g
What is the k'th term of -23746, -47969, -72194, -96421, -120650, -144881?
-k**2 - 24220*k + 475
What is the y'th term of -446, -883, -1302, -1703, -2086, -2451, -2798?
9*y**2 - 464*y + 9
What is the i'th term of 2033683, 2033666, 2033625, 2033548, 2033423, 2033238?
-2*i**3 - 3*i + 2033688
What is the p'th term of -454395, -908932, -1363471, -1818012, -2272555, -2727100?
-p**2 - 454534*p + 140
What is the o'th term of 483322, 966110, 1448898, 1931686, 2414474?
482788*o + 534
What is the n'th term of 19026298, 38052593, 57078888, 76105183, 95131478, 114157773?
19026295*n + 3
What is the h'th term of 1365482, 2730827, 4096172, 5461517?
1365345*h + 137
What is the g'th term of -267787, -267857, -267941, -268045, -268175, -268337, -268537?
-g**3 - g**2 - 60*g - 267725
What is the y'th term of 540, -98, -3112, -9690, -21020?
-198*y**3 + 748*y - 10
What is the i'th term of -149953, -149988, -150045, -150130, -150249, -150408, -150613, -150870?
-i**3 - 5*i**2 - 13*i - 149934
What is the u'th term of -22832, -91256, -205302, -364970, -570260, -821172?
-22811*u**2 + 9*u - 30
What is the s'th term of 67448, 59625, 51802, 43979, 36156?
-7823*s + 75271
What is the u'th term of 5063315, 10126221, 15189125, 20252027, 25314927, 30377825, 35440721?
-u**2 + 5062909*u + 407
What is the j'th term of 180786, 180809, 180832, 180855, 180878?
23*j + 180763
What is the h'th term of 7658, -1646, -10950, -20254?
-9304*h + 16962
What is the r'th term of 450299, 450297, 450289, 450275, 450255, 450229?
-3*r**2 + 7*r + 450295
What is the o'th term of -124, -911, -2302, -4297?
-302*o**2 + 119*o + 59
What is the t'th term of 11829553, 23659098, 35488643, 47318188, 59147733, 70977278?
11829545*t + 8
What is the d'th term of 80607568, 80607566, 80607564, 80607562?
-2*d + 80607570
What is the l'th term of -310249, -310248, -310245, -310240?
l**2 - 2*l - 310248
What is the y'th term of -19074858, -19074856, -19074854?
2*y - 19074860
What is the y'th term of 162652, 317125, 471598?
154473*y + 8179
What is the f'th term of -13482959, -13482969, -13483001, -13483067, -13483179, -13483349, -13483589, -13483911?
-2*f**3 + f**2 + f - 13482959
What is the t'th term of 6204180, 6204160, 6204140, 6204120, 6204100, 6204080?
-20*t + 6204200
What is the h'th term of -154102, -154083, -154064, -154045?
19*h - 154121
What is the i'th term of -72, -677, -2500, -6207, -12464, -21937, -35292?
-111*i**3 + 57*i**2 + i - 19
What is the h'th term of 12807100, 51228411, 115263928, 204913651, 320177580?
12807103*h**2 + 2*h - 5
What is the q'th term of 1690142, 1690210, 1690294, 1690400, 1690534, 1690702, 1690910, 1691164?
q**3 + 2*q**2 + 55*q + 1690084
What is the f'th term of -6001, -1738, 2531, 6806, 11087, 15374?
3*f**2 + 4254*f - 10258
What is the r'th term of 13816778, 27634036, 41451306, 55268594, 69085906, 82903248, 96720626?
r**3 + 13817251*r - 474
What is the q'th term of -10178, -20982, -32398, -44426, -57066, -70318, -84182?
-306*q**2 - 9886*q + 14
What is the j'th term of -229, -124, 81, 398, 839, 1416?
2*j**3 + 38*j**2 - 23*j - 246
What is the a'th term of -35353180, -35353194, -35353208, -35353222?
-14*a - 35353166
What is the j'th term of 2012, 1498, 810, 86, -536?
23*j**3 - 225*j**2 + 2214
What is the f'th term of 2635757, 10543029, 23721809, 42172091, 65893869, 94887137?
-f*
|
{
"pile_set_name": "DM Mathematics"
}
|
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